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GISc framework

Search Knowledge Areas, Units or Topic names
  • Knowledge Area: GSc Geographical science (24)

    Geography its Nature and Prospectives (e.g.location. space, place, scale, pattern, regionization , globalization), Population (e.g. distribution, change) , Cultural Pattern and Process ( e.g. cultural landscapes), Political Organization of space (e.g. territorial of politics) Agricultural and Rural Land Use , Industrialization , Cities and Urban Land Use (e.g. models of urban systems, eternal city structures ), Physical Geography (e.g. earth systems , resources, earth science concepts - atmosphere, hydrosphere, pedosphere, biosphere)

    • CUnit: GSc1 Area and spatial analysis (12)

      Comprises the reading, analysis and interpretation of spatial information; Basic concepts and terminology. Broader understanding of what GIS is and what it involves. Historical perspective. Application fields. Understand different fields contributing and forming part of GISc. Components of a GIS. Functionality, analysis and processess involved. 

      • Topic GSc1-1 (0)
        • Explain distribution, change
      • Topic GSc1-2 (0)
        • Explain cultural landscapes
      • Topic GSc1-3 (0)
        • Explain territorial of politics
      • Topic GSc1-4 (0)
        • Explain Agricultural and Rural Land Use , Industrialization , Cities and Urban Land Use (eg. models of urban systems, eternal city structures )
    • CUnit: GSc2 Earth and environmental science (12)

      GIS in earth and environmental studies: 

      A combination of any of the following: Climatology, Geomorphology, Hydrology, Ecology structural geology, engineering geology, interpretation of geological maps, integrated environmental management, environmental impact assessment, development science and theory, urban systems and human settlement, population geography, Disasters (natural and manmade), sustainable development, natural environmental systems (water, atmospheric, oceanographic, fauna/flora etc.), tourism, conservation (natural or heritage), climate change: 

      • Topic GSc2-1 (0)
        • Demonstrate an understanding of: Star-forming processes
        • The solar system and the earth; Internal earth processes
        • Mineral- and rock-forming processes
        • Origin of magma and igneous rocks
        • External structure of the earth
        • Plate tectonics
        • Sedimentary rocks and the geological record
        • Geological time scale
        • Metamorphic rocks and mountain building
      • Topic GSc2-2 (0)
        • Demonstrate an understanding of: Earthquakes and volcanoes
    • CUnit: GSc3 Environmental geography (0)

      Nature of human geography; Demography of world population; Food resources; Urbanisation: models of urban structure, functional areas in cities, cities in developing countries; Politico-geographical organisation: nations and states in conflict, regions in the news; Environmental systems on a global scale: fluvial, arid, karst, coastal and glacial environments; Ecosystems and humans; Utilisation of environmental resources: global occurrence, use and depletion of non-renewable energy, water and soil resources; Practical mapping and graphics

      • Topic GSc3-1 (0)
        • Demonstrate an understanding of: Demography of world population; Food resources
      • Topic GSc3-2 (0)
        • Demonstrate an understanding of: Models of urban structure, functional areas in cities, cities in developing countries
      • Topic GSc3-3 (0)
        • Demonstrate an understanding of: Nations and states in conflict, regions in the news
      • Topic GSc3-4 (0)
        • Demonstrate an understanding of: Fluvial, arid, karst, coastal and glacial environments; Ecosystems and humans
      • Topic GSc3-5 (0)
        • Demonstrate an understanding of: Global occurrence, use and depletion of non-renewable energy, water and soil resources; Practical mapping and graphics
  • Knowledge Area: MS Mathematics and statistics (24)

    Differential and integral calculus of functions of one variable, differential equations, partial derivatives, mean value theorem, solving systems of linear and non-linear equations, functions( eg. trigonometric , hyperbolic ), conic sections, complex numbers, matrix algebra, intersection of lines/planes, distance from points to lines/planes, differential geometry. Series and polynomials. Statistics: Descriptive Statistics - Univariate: Sampling and the collection of data, frequency distributions and graphical representations. Descriptive measures of location and dispersion. Probability and inference: Introductory probability theory and theoretical distributions. Sampling distributions. Estimation theory and hypothesis testing of sampling averages and proportions (one and two sample cases). Identification, use and interpretation of statistical computer packages and statistical techniques. Multivariate statistics, curve fitting (eg regression and correlation)

    • CUnit: MS1 Mathematics (12)

      Differential and integral calculus

      • Topic Ms1-1 (0)
        • Explain - Differential and integral calculus of functions of one variable, differential equations, partial derivatives, mean value theorem, solving systems of linear and non-linear equations, functions( eg. trigonometric , hyperbolic ), conic sections, complex numbers, matrix algebra, intersection of lines/planes, distance from points to lines/planes, differential geometry
        • Series and polynomials
    • CUnit: MS2 Statistics (12)

      Descriptive Statistics, sampling, probabilities, distributions and inferences

      • Topic MS2-1 (0)
        • Explain and apply: Sampling and the collection of data, frequency distributions and graphical representations. Descriptive measures of location and dispersion
      • Topic MS2-2 (0)
        • Explain and apply: Introductory probability theory and theoretical distributions
        • Sampling distributions
        • Estimation theory and hypothesis testing of sampling averages and proportions (one and two sample cases)
        • Identification, use and interpretation of statistical computer packages and statistical techniques
        • Multivariate statistics, curve fitting (eg regression and correlation)
  • Knowledge Area: PS Physical science (12)

    Kinematics, Newton’s laws of motion, work, energy, power, rotational dynamics, torque, angular momentum, gravitation, periodic motion, simple harmonic motion, interference, wave motion, diffraction, refraction and reflection of waves, Doppler effect, electric charge and field, electric potential, capacitance, resistance, electric current, electromagnetic induction, magnetic field, electromagnetic spectrum

    • CUnit: PS1 Kinematics and Newton’s laws of motion (12)

      Motion and energy

      • Topic PS1-1 (0)
        • Display an understanding of: Work, energy, power, rotational dynamics, torque, angular momentum, gravitation, periodic motion, simple harmonic motion, interference, wave motion, diffraction, refraction and reflection of waves, Doppler effect
      • Topic PS1-2 (0)
        • Display an understanding of: Electric charge and field, electric potential, capacitance, resistance, electric current, electromagnetic induction, magnetic field, electromagnetic spectrum
  • Knowledge Area: AM Analytical Methods (18)

    This knowledge area encompasses a wide variety of operations whose objective is to derive analytical results from geospatial data. Data analysis seeks to understand both first-order (environmental) effects and second-order (interaction) effects. Approaches that are both data-driven (exploration of geospatial data) and model-driven (testing hypotheses and creating models) are included. Data driven techniques derive summary descriptions of data, evoke insights about characteristics of data, contribute to the development of research hypotheses, and lead to the derivation of analytical results. The goal of modeldriven analysis is to create and test geospatial process models. In general, model-driven analysis is an advanced knowledge area where previous experience with exploratory spatial data analysis would constitute a desired prerequisite. Visual tools for data analysis are covered in Knowledge Area CV Cartography and Visualization and many of the fundamental principles required to ground data analysis techniques are introduced in Knowledge Area CF Conceptual Foundations. Image processing techniques are considered in Knowledge Area GD Geospatial Data. All of the methods described in this knowledge area are more or less sensitive to data error and uncertainty, as covered in Unit GC8 Uncertainty and Unit GD6 Data quality. Mastery of the educational objectives outlined in this knowledge area requires knowledge and skills in mathematics, statistics, and computer programming

    • Unit: AM1 Academic and analytical origins (0)

      Geospatial data analysis has foundations in many different disciplines. As a result, there are manydifferent schools of thought or analytical approaches including spatial analysis, spatial modeling,geostatistics, spatial econometrics, spatial statistics, qualitative analysis, map algebra, and networkanalysis. This unit compares and contrasts these approaches

      • Topic AM1-1 (0)
        • Differentiate between exploratory and confirmatory geospatial data analysis
        • Differentiate geospatial data analysis from non-spatial data analysis
        • Explain the origins of the term “Quantitative Revolution” in geography and other disciplines
        • Explain how the “Quantitative Revolution” was important in the development of GI S&T
        • Contrast the analytical approaches taken in various academic disciplines in which geospatialanalysis has evolved
      • Topic AM1-2 (0)
        • Compare and contrast spatial statistical analysis, spatial data analysis, and spatial modelling
        • Compare and contrast spatial statistics and map algebra as two very different kinds of dataAnalysis
        • Compare and contrast the methods of analyzing aggregate data as opposed to methods ofanalyzing a set of individual observations
        • >li>Define the terms spatial analysis, spatial modeling, geostatistics, spatial econometrics, spatialstatistics, qualitative analysis, map algebra, and network analysis

        • Differentiate between geostatistics and spatial statistics
        • Discuss situations when it is desirable to adopt a spatial approach to the analysis of data
        • Explain what is added to spatial analysis to make it spatio-temporal analysis
        • Explain what is special (i.e., difficult) about geospatial data analysis and why some traditionalstatistical analysis techniques are not suited to geographic problems
        • Outline the sequence of tasks required to complete the analytical process for a given spatialProblem
    • CUnit: AM2 Query operations and query languages (0)

      Attribute and spatial query operations are core functionality in any GIS and they are often considered to be the most basic form of analysis

      • Topic AM2-1 (0)
        • Describe set theory
        • Explain how set theory relates to spatial queries
        • Explain how logic theory relates to set theory
        • Perform a logic (set theoretic) query using GIS software
      • Topic AM2-2 (0)
        • Define basic terms of query processing (e.g., SQL, primary and foreign keys, table join)
        • Explain the basic logic of SQL syntax
        • Demonstrate the basic syntactic structure of SQL
        • Create an SQL query to retrieve elements from a GIS
      • Topic AM2-3 (0)
        • Demonstrate the syntactic structure of spatial and temporal operators in SQL
        • Compare and contrast attribute query and spatial query
        • State questions that can be solved by selecting features based on location or spatial relationships
        • Construct a query statement to search for a specific spatial or temporal relationship
        • Construct a spatial query to extract all point objects that fall within a polygon
    • CUnit: AM3 Geometric measures (9)

      For simple data exploration, GIS offers many basic geometric operations that help in extracting meaning from sets of data or for deriving new data for further analysis. Concepts on which these operations are based are addressed in Unit CF3 Domains of geographic information and Unit CF5 Relationships

      • Topic AM3-1 (0)
        • Describe several different measures of distance between two points (e.g., Euclidean, Manhattan,network distance, spherical)
        • Explain how different measures of distance can be used to calculate the spatial weights matrix
        • Explain why estimating the fractal dimension of a sinuous line has important implications for themeasurement of its length
        • Explain how fractal dimension can be used in practical applications of GIS
        • Explain the differences in the calculated distance between the same two places when data usedare in different projections
        • Outline the implications of differences in distance calculations on real world applications of GIS,such as routing and determining boundary lengths and service areas
        • Estimate the fractal dimension of a sinuous line
      • Topic AM3-2 (0)
        • Define “direction” and its measurement in different angular measures
        • Compare and contrast how direction is determined and stated in raster and vector data
        • Describe operations that can be performed on qualitative representations of direction
        • Explain any differences in the measured direction between two places when the data arepresented in a GIS in different projections
        • Compute the mean of directional data
      • Topic AM3-3 (0)
        • Identify situations in which shape affects geometric operations
        • Explain what is meant by the convex hull and minimum enclosing rectangle of a set of point data
        • Explain why the shape of an object might be important in analysis
        • Exemplify situations in which the centroid of a polygon falls outside its boundary
        • Compare and contrast different shape indices, include examples of applications to which each could be applied
        • Develop a method for describing the shape of a cluster of similarly valued points by using the concept of the convex hull
        • Develop an algorithm to determine the skeleton of polygons
        • Find centroids of polygons under different definitions of a centroid and different polygon shapes
        • Calculate several different shape indices for a polygon dataset
      • Topic AM3-4 (0)

        • List reasons why the area of a polygon calculated in a GIS might not be the same as the realworld object it describes• Explain how variations in the calculation of area may have real world implications, such ascalculating density• Demonstrate how the area of a region calculated from a raster data set will vary by resolution andorientation• Outline an algorithm to find the area of a polygon using the coordinates of its vertices

      • Topic AM3-5 (0)
        • Describe real world applications where distance decay is an appropriate representation of thestrength of spatial relationships (e.g., shopping behavior, property values)
        • Describe real world applications where distance decay would NOT be an appropriaterepresentation of the strength of spatial relationships (e.g., distance education, commuting,telecommunications)
        • Explain the rationale for using different forms of distance decay functions
        • Explain how a semi-variogram describes the distance decay in dependence between data values
        • Outline the geometry implicit in classical “gravity” models of distance decay
        • Plot typical forms for distance decay functions
        • Write typical forms for distance decay functions
        • Write a program to create a matrix of pair-wise distances among a set of points
      • Topic AM3-6 (0)
        • List different ways connectivity can be determined in a raster and in a polygon dataset
        • Describe real world applications where adjacency and connectivity are a critical component of analysis
        • Explain the nine-intersection model for spatial relationships
        • Demonstrate how adjacency and connectivity can be recorded in matrices
        • Calculate various measures of adjacency in a polygon dataset
        • Create a matrix describing the pattern of adjacency in a set of planar enforced polygons
    • CUnit: AM4 Basic analytical operations (9)

      This small set of analytical operations is so commonly applied to a broad range of problems that their inclusion in software products is often used to determine if that product is a “true” GIS. Concepts on which these operations are based are addressed in Unit CF3 Domains of geographic information and Unit CF5 Relationships

      • Topic AM4-1 (0)
        • Compare and contrast raster and vector definitions of buffers
        • Explain why a buffer is a contour on a distance surface
        • Outline circumstances in which buffering around an object is useful in analysis
      • Topic AM4-2 (0)
        • Explain why the process “dissolve and merge” often follows vector overlay operations
        • Explain what is meant by the term “planar enforcement”
        • Outline the possible sources of error in overlay operations
        • Exemplify applications in which overlay is useful, such as site suitability analysis
        • Compare and contrast the concept of overlay as it is implemented in raster and vector domains
        • Demonstrate how the geometric operations of intersection and overlay can be implemented in GIS
        • Demonstrate why the registration of datasets is critical to the success of any map overlayOperation
        • Formalize the operation called map overlay using Boolean logic
      • Topic AM4-3 (0)
        • Discuss the role of Voronoi polygons as the dual graph of the Delaunay triangulation
        • Explain how the range of map algebra operations (local, focal, zonal and global) relate to theconcept of neighbourhoods
        • Explain how Voronoi polygons can be used to define neighborhoods around a set of points
        • Outline methods that can be used to establish non-overlapping neighborhoods of similarity in raster datasets
        • Create proximity polygons (Thiessen/Voronoi polygons) in point datasets
        • Write algorithms to calculate neighborhood statistics (minimum, maximum, focal flow) using a moving window in raster datasets
      • Topic AM4-4 (0)
        • Describe how map algebra performs mathematical functions on raster grids
        • Describe a real modeling situation in which map algebra would be used (e.g., site selection,climate classification, least-cost path)
        • Explain the categories of map algebra operations (i.e., local, focal, zonal, and global functions)
        • Explain why georegistration is a precondition to map algebra
        • Differentiate between map algebra and matrix algebra using real examples
        • Perform a map algebra calculation using command line, form-based, and flow charting userInterfaces
    • CUnit: AM5 Basic analytical methods (0)

      Building on the basic geometric measures and analytical operations found in most GIS products, a broad range of additional analytical methods form the fundamental GIS toolkit

      • Topic AM5-1 (0)
        • List the conditions that make point pattern analysis a suitable process
        • Identify the various ways point patterns may be described
        • Identify various types of K-function analysis
        • Describe how Independent Random Process/Chi-Squared Result (IRP/CSR) may be used tomake statistical statements about point patterns
        • Outline measures of pattern based on first and second order properties such as the mean centre and standard distance, quadrat counts, nearest neighbor distance and the more modern G, F and K functions
        • Outline the basis of classic critiques of spatial statistical analysis in the context of point pattern analysis
        • Explain how distance-based methods of point pattern measurement can be derived from adistance matrix
        • Explain how proximity polygons (e.g., Thiessen polygons) may be used to describe point patterns
        • Explain how the K function provides a scale-dependent measure of dispersion
        • Compute measures of overall dispersion and clustering of point datasets using nearest neighbour distance statistics
      • Topic AM5-2 (0)
        • Describe the relationships between kernels and classical spatial interaction approaches, such assurfaces of potential
        • Differentiate between kernel density estimation and spatial interpolation
        • Outline the likely effects on analysis results of variations in the kernel function used and thebandwidth adopted
        • Explain why and how density estimation transforms point data into a field representation
        • Explain why, in some cases, an adaptive bandwidth might be employed
        • Create density maps from point datasets using kernels and density estimation techniques usingstandard software
      • Topic AM5-3 (0)
        • Identify several cluster detection techniques and discuss their limitations
        • Discuss the characteristics of the various cluster detection techniques
        • Demonstrate the extension of spatial clustering to deal with clustering in space-time using the Know and Mantel tests
        • Perform a cluster detection analysis to detect “hot spots” in a point pattern
      • Topic AM5-4 (0)
        • State the classic formalization of the interaction model
        • Differentiate between the gravity model and spatial interaction models
        • Describe the formulation of the classic gravity model, the unconstrained spatial interaction model, the production constrained spatial interaction model, the attraction constrained spatial interaction model, and the doubly constrained spatial interaction model
        • Explain how dynamic, chaotic, complex or unpredictable aspects in some phenomena makespatial interaction models more appropriate than gravity models
        • Explain the concept of competing destinations, describing how traditional spatial interactionmodel forms are modified to account for it
        • Create a matrix that shows spatial interaction
      • Topic AM5-5 (0)
        • Relate plots of multidimensional attribute data to geography by equating similarity in data spacewith proximity in geographical space
        • Assemble a data matrix of attributes
        • Produce plots in several data dimensions using a data matrix of attributes
        • Conduct a simple hierarchical cluster analysis to classify area objects into statistically similarregions
        • Perform multidimensional scaling (MDS) and principal components analysis (PCA) to reduce thenumber of co-ordinates, or dimensionality, of a problem
      • Topic AM5-6 (0)
        • Describe the difference between prescriptive and descriptive cartographic models
        • Discuss the origins of cartographic modeling with reference to the work of Ian McHarg
        • Develop a flowchart of a cartographic model for a site suitability problem
      • Topic AM5-7 (0)
        • Describe the implementation of an ordered weighting scheme in a multiple-criteria aggregation
        • Compare and contrast the terms multi-criteria evaluation, weighted linear combination, and site suitability analysis
        • Differentiate between contributing factors and constraints in a multi-criteria application
        • Explain the legacy of multi-criteria evaluation in relation to cartographic modelling
        • Determine which method to use to combine criteria (e.g., linear, multiplication)
        • Create initial weights using the analytical hierarchy process (AHP)
        • Calibrate a linear combination model by adjusting weights using a test data set
      • Topic AM5-8 (0)
        • Discuss the relationship between spatial processes and spatial patterns
        • Differentiate between deterministic and stochastic spatial process models
        • Describe a simple process model that would generate a given set of spatial patterns
    • Unit: AM6 Analysis of surfaces (0)

      There is a wide range of phenomena that can be studied using a set of techniques and tools that aredesigned to help understand the characteristics of continuous surface data. Applications of thesetechniques using terrain data include overland transport, flow, and siting tasks, but similar analyses can be conducted using non-tangible surfaces such as those of temperature, pressure and population density

      • Topic AM6-1 (0)
        • List the likely sources of error in slope and aspect maps derived from DEMs and state thecircumstances under which these can be very severe
        • Outline a number of different methods for calculating slope from a Digital Elevation Model (DEM)
        • Outline how higher order derivatives of height can be interpreted
        • Explain how slope and aspect can be represented as the vector field given by the first derivative of height
        • Explain why the properties of spatial continuity are characteristic of spatial surfaces
        • Explain why zero slopes are indicative of surface specific points such as peaks, pits and passes and list the conditions necessary for each
        • Design an algorithm that calculates slope and aspect from a Triangulated Irregular Network (TIN) model
      • Topic AM6-2 (0)
        • Identify the spatial concepts that are assumed in different interpolation algorithms
        • Describe how surfaces can be interpolated using splines
        • Compare and contrast interpolation by inverse distance weighting, bi-cubic spline fitting andKriging
        • Differentiate between trend surface analysis and deterministic spatial interpolation
        • Explain why different interpolation algorithms produce different results and suggest ways bywhich these can be evaluated in the context of a specific problem
        • Design an algorithm which interpolates irregular point elevation data onto a regular grid
        • Outline algorithms to produce repeatable contour-type lines from point datasets using proximity polygons, spatial averages, or inverse distance weighting
        • Implement a trend surface analysis using either the supplied function in a GIS or a regressionfunction from any standard statistical package
      • Topic AM6-3 (0)
        • Describe how a network of stream channels and ridges can be estimated from a Digital ElevationModel (DEM)
        • Explain how ridgelines and streamlines can be used to improve the result of an interpolationProcess
      • Topic AM6-4 (0)

        • Define intervisibility
        • Explain the sources and impact of errors that affect intervisibility analyses
        • Outline an algorithm to determine the viewshed (area visible) from specific locations on surfaces specified by digital elevation models (DEM)
        • Perform siting analyses using specified visibility, slope and other surface related constraints
      • Topic AM6-5 (0)
        • Define friction surface
        • Explain how friction surfaces are enhanced by the use of impedance and barriers
        • Apply the principles of friction surfaces in the calculation of least-cost paths
    • Unit: AM7 Spatial statistics (0)

      Traditional statistical methods are used to describe the central tendency, dispersion, and othercharacteristics of data but are not always suited to use with spatial data for which specialized techniques are often required. The field of spatial statistical analysis forms the backbone for the testing of hypotheses about the nature of spatial pattern, dependency, and heterogeneity. The techniques are widely used in both exploratory and confirmatory spatial analysis in many different fields

      • Topic AM7-1 (0)
        • Describe the statistical characteristics of a set of spatial data using a variety of graphs and plots(including scatterplots, histograms, boxplots, q–q plots)
        • Select the appropriate statistical methods for the analysis of given spatial datasets by firstexploring them using graphic methods
      • Topic AM7-2 (0)
        • List the two basic assumptions of the purely random process
        • Justify the stochastic process approach to spatial statistical analysis
        • Exemplify deterministic and spatial stochastic processes
        • Exemplify non-stationarity involving first and second order effects
        • Differentiate between isotropic and anisotropic processes
        • Discuss the theory leading to the assumption of intrinsic stationarity
        • Outline the logic behind the derivation of long run expected outcomes of the independent random process using quadrat counts
      • Topic AM7-3 (0)
        • Explain how different types of spatial weights matrices are defined and calculated
        • Explain the rationale used for each type of spatial weights matrix
        • Discuss the appropriateness of different types of spatial weights matrices for various problems
        • Construct a spatial weights matrix for lattice, point, and area patterns
      • Topic AM7-4 (0)
        • Describe the effect of the assumption of stationarity on global measures of spatial association
        • Explain how a statistic that is based on combining all the spatial data and returning a singlesummary value or two can be useful in understanding broad spatial trends
        • Explain how the K function provides a scale-dependent measure of dispersion
        • Compute Moran’s I and Geary’s c for patterns of attribute data measured on interval/ratio scales
        • Compute measures of overall dispersion and clustering of point datasets using nearest neighbour distance statistics
        • Compute the K function
        • Justify, compute, and test the significance of the join count statistic for a pattern of objects
      • Topic AM7-5 (0)
        • Describe the effect of non-stationarity on local indices of spatial association
        • Compare and contrast global and local statistics and their uses
        • Explain how a weights matrix can be used to convert any classical statistic into a local measure of spatial association
        • Explain how geographically weighted regression provides a local measure of spatial association
        • Decompose Moran’s I and Geary’s c into local measures of spatial association
        • Compute the Gi and Gi* statistics
      • Topic AM7-6 (0)
        • Explain how outliers affect the results of analyses
        • Explain how the following techniques can be used to examine outliers: tabulation, histograms, box plots, correlation analysis, scatter plots, local statistics
      • Topic AM7-7 (0)
        • Define prior and posterior distributions and Markov-Chain Monte Carlo
        • Explain how the Bayesian perspective is a unified framework from which to view uncertainty
        • Compare and contrast Bayesian methods and classical “frequentist” statistical methods
    • Unit: AM8 Geostatistics (0)

      Geostatistics are a variety of techniques used to analyze continuous data (e.g., rainfall, elevation, air pollution). The fundamental structure of geostatistics is based on the concept of semi-variograms and their use for spatial prediction (kriging). Sampling methods are also discussed in Unit GD9 Field data collection

      • Topic AM8-1 (0)
        • List and describe several spatial sampling schemes and evaluate each one for specificApplications
        • Describe sampling schemes for accurately estimating the mean of a spatial data set
        • Differentiate between model-based and design-based sampling schemes
        • Design a sampling scheme that will help detect when space-time clusters of events occur
        • Create spatial samples under a variety of requirements, such as coverage, randomness,Transects
      • Topic AM8-2 (0)
        • Identify and define the parameters of a semi-variogram (range, sill, nugget)
        • Describe the relationships between semi-variograms and correlograms, and Moran’s indices of spatial association
        • Demonstrate how semi-variograms react to spatial nonstationarity
        • Construct a semi-variogram and illustrate with a semi-variogram cloud
      • Topic AM8-3 (0)
        • List the possible sources of error in a selected and fitted model of an experimental semivariogram
        • Describe some commonly used semi-variogram models
        • Describe the conditions under which each of the commonly used semi-variograms models would be most appropriate
        • Explain the necessity of defining a semi-variogram model for geographic data
        • Apply the method of weighted least squares and maximum likelihood to fit semi-variogrammodels to datasets
      • Topic AM8-4 (0)
        • Describe the relationship between the semi-variogram and kriging
        • Explain why kriging is more suitable as an interpolation method in some applications than others
        • Explain why it is important to have a good model of the semi-variogram in kriging
        • Explain the concept of the kriging variance, and describe some of its shortcomings
        • Explain how block-kriging and its variants can be used to combine data sets with different spatial resolution (support)
        • Compare block-kriging with areal interpolation using proportional area weighting and dasymetric mapping
        • Outline the basic kriging equations in their matrix formulation
        • Conduct a spatial interpolation process using kriging from data description to final error map
      • Topic AM8-5 (0)
        • Compare and contrast co-kriging, log-normal kriging, disjunctive kriging, indicator kriging, factorial kriging and universal kriging
        • Apply universal kriging to appropriate data sets
        • Interpret the results of universal kriging
    • Unit: AM9 Spatial regression and econometrics (0)

      Many problems of the social sciences can be expressed in terms of spatial regression analysis. Thedevelopment of spatial autoregressive models and the estimation of their parameters is the focus for the field of spatial econometrics

      • Topic AM9-1 (0)
        • Describe the general types of spatial econometric model
        • Explain how spatial dependence and spatial heterogeneity violate the Gauss-Markovassumptions of regression used in traditional econometrics
        • Demonstrate how spatially lagged, trend surface, or dummy spatial variables can be used tocreate the spatial component variables missing in a standard regression analysis
        • Demonstrate how the spatial weights matrix is fundamental in spatial econometrics models
        • Demonstrate why spatial autocorrelation among regression residuals can be an indication that spatial variables have been omitted from the models
      • Topic AM9-2 (0)
        • Explain Anselin’s typology of spatial autoregressive models
        • Conduct a spatial econometric analysis to test for spatial dependence in the residuals from leastsquares models and spatial autoregressive models
        • Demonstrate how the parameters of spatial auto-regressive models can be estimated usingunivariate and bivariate optimization algorithms for maximizing the likelihood function
        • Find a “best” model
        • Implement a maximum likelihood estimation procedure for determining key spatial econometric parameters
        • Apply spatial statistic software (e.g., GEODA) to create and estimate an autoregressive model
      • Topic AM9-3 (0)
        • Identify modeling situations where spatial filtering might not be appropriate
        • Describe the relationship between factorial kriging and spatial filtering
        • Explain how spatial correlation can result as a side effect of the spatial aggregation in a givendataset
        • Explain how dissolving clusters of blocks with similar values may resolve the spatial correlation problem
        • Explain how the Getis and Tiefelsdorf-Griffith spatial filtering techniques incorporate spatialcomponent variables into OLS regression analysis in order to remedy misspecification and theproblem of spatially auto-correlated residuals
        • Demonstrate how spatial autocorrelation can be “removed” by resampling
      • Topic AM9-4 (0)
        • Describe the characteristics of the spatial expansion method
        • Discuss the appropriateness of GWR under various conditions
        • Explain how allowing the parameters of the model to vary with the spatial location of the sample data can be used to accommodate spatial heterogeneity
        • Explain the principles of geographically weighted regression
        • Compare and contrast GWR with universal kriging using moving neighbourhoods
        • Perform an analysis using the geographically weighted regression technique
        • Analyze the number of degrees of freedom in GWR analyses and discuss any possible difficulties with the method based on your results
    • Unit: AM10 Data mining (0)

      Algorithms have been developed to scan and search through extremely large data sets in order to find patterns within the data. These data mining and knowledge discovery techniques have been expanded to the spatial case. Legal and ethical concerns associated with such practices are considered in Knowledge Areas GS GI S&T and Society and OI Organizational and Institutional Aspects

      • Topic AM10-1 (0)
        • Describe emerging geographical analysis techniques in geocomputation derived from artificialintelligence (e.g., expert systems, artificial neural networks, genetic algorithms, and softwareagents)
        • Describe difficulties in dealing with large spatial databases, especially those arising from spatialHeterogeneity
        • Explain what is meant by the term “contaminated data,” suggesting how it can arise
        • Explain how to recognize contaminated data in large datasets
        • Outline the implications of complexity for the application of statistical ideas in geography
      • Topic AM10-2 (0)
        • Describe how data mining can be used for geospatial intelligence
        • Differentiate between data mining approaches used for spatial and non-spatial applications
        • Compare and contrast the primary types of data mining: summarization/characterization,clustering/categorization, feature extraction, and rule/relationships extraction
        • Explain how spatial statistics techniques are used in spatial data mining
        • Explain how the analytical reasoning techniques, visual representations, and interactiontechniques that make up the domain of visual analytics have a strong spatial component
        • Demonstrate how cluster analysis can be used as a data mining tool
        • Interpret patterns in space and time using Dorling and Openshaw’s Geographical AnalysisMachine (GAM) demonstration of disease incidence diffusion
      • Topic AM10-3 (0)
        • Explain how spatial data mining techniques can be used for knowledge discovery
        • Explain how visual data exploration can be combined with data mining techniques as a means of discovering research hypotheses in large spatial datasets
        • Explain how a Bayesian framework can incorporate expert knowledge in order to retrieve allrelevant datasets given an initial user query
      • Topic AM10-4 (0)
        • Differentiate among machine learning, data mining, and pattern recognition
        • Explain the outcome of an artificial intelligence analysis (e.g., edge recognition), including adiscussion of what the human did not see that the computer identified and vice versa
        • Explain the principles of pattern recognition
        • Apply a simple spatial mean filter to an image as a means of recognizing patterns
        • Construct an edge-recognition filter
        • Design a simple spatial mean filter
    • Unit: AM11 Network analysis (0)

      Network analysis encompasses a wide range of procedures, techniques, and methods that allow for the examination of phenomena that can be modeled in the form of connected sets of edges and vertices. Such sets are termed a network or a graph, and the mathematical basis for network analysis is known as graph theory. Graph theory contains descriptive measures and indices of networks (such as connectivity, adjacency, capacity, and flow) as well as methods for proving the properties of networks. Networks have long been recognized as an efficient way to model many types of geographic data, including transportation networks, river networks, and utility networks (electric, cable, sewer and water, etc.) to name just a few. The data structures to support network analysis are covered in Unit DM4 Vector and object data models

      • Topic AM11-1 (0)
        • Define the following terms pertaining to a network: Loops, multiple edges, the degree of a vertex, walk, trail, path, cycle, fundamental cycle
        • Define different interpretations of “cost” in various routing applications
        • Describe networks that apply to specific applications or industries
        • Create a data set with network attributes and topology
      • Topic AM11-2 (0)
        • Demonstrate how networks can be measured using the number of elements in a network, thedistances along network edges, and the level of connectivity of the network
        • Explain the concept of the diameter of a network
        • Compute the estimated number of fundamental cycles in a graph
        • Compute the alpha, beta, and gamma indices of network connectivity
        • Compute the Detour Index and the measure of network density for a given network
      • Topic AM11-3 (0)
        • Describe some variants of Dijkstra’s algorithm that are even more efficient
        • Explain how a leading World Wide Web-based routing system works (e.g., MapQuest, YahooMaps, Google)
        • Discuss the difference of implementing Dijkstra’s algorithm in raster and vector modes
        • Demonstrate how K-shortest path algorithms can be implemented to find many efficient alternate paths across the network
        • Compute the optimum path between two points through a network with Dijkstra’s algorithm
      • Topic AM11-4 (0)
        • Describe practical situations in which flow is conserved while splitting or joining at nodes of theNetwork
        • Explain how the concept of capacity represents an upper limit on the amount of flow through theNetwork
        • Demonstrate how capacity is assigned to edges in a network using the appropriate data structure
        • Apply a maximum flow algorithm to calculate the largest flow from a source to a sink, using theedges of the network, subject to capacity constraints on the arcs and the conservation of flow
      • Topic AM11-5 (0)
        • Explain why, if supply equals demand, there will always be a feasible solution to the ClassicTransportation Problem
        • Exemplify the Classic Transportation Problem
        • Demonstrate how the Classic Transportation Problem can be structured as a linear program
        • Implement the Transportation Simplex method to determine the optimal solution
      • Topic AM11-6 (0)
        • List several classic problems to which network analysis is applied (e.g., The Traveling SalesmanProblem, The Chinese Postman Problem)
        • Explain why heuristic solutions are generally used to address the combinatorially complex natureof these problems and the difficulty of solving them optimally
      • Topic AM11-7 (0)
        • List ways we can define accessibility on a network
        • Describe methods for measuring different kinds of accessibility on a network
        • Contrast accessibility modeling at the individual level versus at an aggregated level
        • Compare current accessibility models with early models of market potential
    • Unit: AM12 Optimization and location-allocation modeling (0)

      A wide variety of optimization techniques are now solvable within the GI S&T domain. Operationsresearch is a branch of mathematics practiced in the allied fields of business and engineering. Newmodels and software tools allow for the solution of transportation routing, facility location, and a host of other location-allocation modeling problems

      • Topic AM12-1 (0)
        • Explain how optimization models can be used to generate models of alternate options forpresentation to decision makers
        • Explain the concept of solution space
        • Explain the principles of operations research modeling and location modelling
        • Explain, using the concept of combinatorial complexity, why some location problems are veryhard to solve
        • Compare and contrast the concepts of discrete location problems and continuous locationProblems
      • Topic AM12-2 (0)
        • Describe the structure of linear programs
        • Explain the role of objective functions in linear programming
        • Explain the role of constraint functions using the graphical method
        • Explain the role of constraint functions using the simplex method
        • Implement linear programs for spatial allocation problems
      • Topic AM12-3 (0)
        • Differentiate between a linear program and an integer program
        • Explain why integer programs are harder to solve than linear programs
      • Topic AM12-4 (0)
        • Describe the structure of origin-destination matrices
        • Explain the concepts of demand and service
        • Explain Weber’s locational triangle
        • Assess the outcome of location-allocation models using other spatial analysis techniques
        • Compare and contrast covering, dispersion, and p-median models
        • Locate, using location-allocation software, service facilities that meet given sets of constraints
  • Knowledge Area: CF Conceptual Foundations (12)

    The GIScience perspective is grounded in spatial thinking. The aim of this knowledge area is to recognize, identify, and appreciate the explicit spatial, spatio-temporal, and semantic components of the geographic environment at an ontological and epistemological level in preparation for modeling the environment with geographic data and analysis. In order to do this, one must understand the nature of space and time as a context for geographic phenomena. This knowledge area covers the ways in which views of the geographic environment depend on philosophical viewpoints, physics, human cognition, society, and the task at hand. This knowledge area also requires an understanding of the fundamental principles in the discipline of geography, the “language” of spatial tasks. On a more advanced level, this area incorporates mathematical and graphical models that formalize these concepts, such as set theory, algebra, and semantic nets

    Because of its wide range of foundational principles, this knowledge area forms a basis for the other knowledge areas. Wise design and use of geospatial technologies requires an understanding of the nature of geographic information, the social and philosophical context of geographic information, and the principles of geography. This knowledge area is especially closely tied to Knowledge Areas DM Data Modeling and DA Design Aspects, as generic data models (such as raster and vector) and application designs need to be grounded in sound conceptual models

    The foundations of geographic information have developed over several decades. Philosophical and scientific views on the nature of space and time have evolved since the ancient Greeks. Early papers during the quantitative revolution, such as Berry (1964), began to formalize the structure of information used in geographic inquiry. The fundamental data structures and algorithms comprising the GIS software developed in the 1960's and 1970's were based on implicit “common-sense” conceptual models of geographic information. During the 1980's, several researchers questioned these underlying assumptions. Some were refuted, other confirmed, and many extended. However, the most rapid pace of development in this area was during the 1990's with the rise of GIScience as a distinct discipline, and the many cooperative initiatives it comprised. The new millennium has seen some of these foundational principles incorporated into commercial software, thus making theoretical knowledge even more importantfor practitioners

    It is expected that the concepts in this knowledge area will be learned gradually. An introductory course would cover only a few topics in a cursory manner, an intermediate course on data modeling or data analysis would cover several theoretical topics of practical application, and a number of graduate courses could cover each topic in a research-oriented environment

    Discussion of this knowledge area includes several terms that can have multiple meanings. For the purposes of this document, two in particular require definition:1. Geographic: Almost any subject or discourse involving earthly phenomena, studied from a spatial perspective at a medium scale (sub-astronomical and super-architectural).2. Phenomenon: Any subject of geographic discourse that is perceived to be external to the individual, including entities, events, processes, social constructs, and the like

    • Unit: CF1 Philosophical foundations (12)

      Many branches of philosophy are relevant to an understanding of geographic information, especially metaphysics and epistemology. Researchers and practitioners of GI S&T have followed (explicitly or unknowingly) several different philosophical approaches to understanding the nature of our work, which influences our structuring, analysis, and interpretation of geographic information. It is, therefore, crucial for professionals to understand these principles in order to bridge (rather than eliminate) the differences and work together. Philosophical perspectives on GIS practice are covered in Unit GS7 Critical GIS

      • Topic CF1-1 (0)
        • Define common theories on what is “real,” such as realism, idealism, relativism, and experientialRealism
        • Evaluate the influences of particular worldviews (including one's own) on GIS practices
        • Identify the ontological assumptions underlying the work of colleagues
        • Justify the metaphysical theories with which you agree
        • Compare and contrast the ability of different theories to explain various situations
        • Recognize the commonalities of philosophical viewpoints and appreciate differences to enablework with diverse colleagues
      • Topic CF1-2 (0)
        • Define common theories on what constitutes knowledge, including positivism, reflectancecorrespondence, pragmatism, social constructivism, and memetics
        • Explain the notions of model and representation in science
        • Recognize the influences of epistemology on GIS practices
        • Justify the epistemological frameworks with which you agree
        • Compare and contrast the ability of various theories to explain different situations
        • Identify the epistemological assumptions underlying the work of colleagues
        • Bridge the differences in epistemological viewpoints to enable work with diverse colleagues
      • Topic CF1-3 (0)
        • Define common philosophical theories that have influenced geography and science, such aslogical positivism, Marxism, phenomenology, feminism, and critical theory
        • Defend or refute the statement, “All data are theory-laden”
        • Describe a brief history of major philosophical movements relating to the nature of space, time,geographic phenomena and human interaction with it
        • Compare and contrast the kinds of questions various philosophies ask, the methodologies theyuse, the answers they offer, and their applicability to different phenomena
        • Evaluate the influences of one's own philosophical views and assumptions on GI S&T practicesIdentify the philosophical views and assumptions underlying the work of colleagues
    • Unit: CF2 Cognitive and social foundations (0)

      Geographic information is observed, comprehended, organized, used in human processes, with both personal and social influences. Therefore, sound models of geographic information should be grounded on a sound understanding of human perception, cognition, memory, and behavior, as well as human institutions

      • Topic CF2-1 (0)
        • Describe the differences between real phenomena, conceptual models, and GIS datarepresentations thereof
        • Compare and contrast the symbolic and connectionist theories of human cognition and memoryand their ability to model various cases
        • Compare and contrast theories of spatial knowledge acquisition (e.g., Marr on vision, Piaget onchildhood, Golledge on wayfinding)
        • Explain the role of metaphors and image schema in our understanding of geographic phenomenaand geographic tasks
        • Explore the contribution of linguistics to the study of spatial cognition and the role of naturallanguage in the conceptualization of geographic phenomena
      • Topic CF2-2 (0)
        • Define the following terms: data, information, knowledge, and wisdom
        • Transform a conceptual model of information for a particular task into a data model
        • Describe the limitations of various information stores for representing geographic information, including the mind, computers, graphics, text, etc.
      • Topic CF2-3 (0)
        • Define the properties that make a phenomenon geographic
        • Describe some insights that a spatial perspective can contribute to a given topic
        • Justify or refute whether geography (as a discipline) should have a central role in GI S&T
        • Explore the history of geography including (but not limited to) Greek and Roman contributions to geography (Eratosthenes, Strabo, Ptolemy), geography and cartography in the age of discovery, military geography, and geography since the quantitative revolution
        • Justify a chosen position on which disciplines should have as important a role in GI S&T asGeography
        • Discuss the differing denotations and connotations of the terms spatial, geographic, andGeospatial
      • Topic CF2-4 (0)
        • Explain how the concept of place is more than just location
        • Define the notions of cultural landscape and physical landscape
        • Select a place or landscape with personal meaning and discuss its importance
        • Evaluate the differences in how various parties think or feel differently about a place beingModelled
        • Describe the elements of a sense of place or landscape that are difficult or impossible toadequately represent in GIS
        • Differentiate between space and place
        • Differentiate among elements of the meaning of a place that can or cannot be easily represented using geospatial technologies
      • Topic CF2-5 (0)
        • Identify common-sense views of geographic phenomena that sharply contrast with establishedtheories and technologies of geographic information
        • Evaluate the impact of geospatial technologies (e.g., Google Earth) that allow non-geospatialprofessionals to create, distribute, and map geographic information
        • Effectively communicate the design, procedures, and results of GIS projects to non-GISaudiences (clients, managers, general public)
        • Collaborate with non-GIS experts who use GIS to design applications that match common-senseunderstanding to an appropriate degree
        • Differentiate applications that can make use of common-sense principles of geography fromthose that should not
      • Topic CF2-6 (0)
        • Describe the ways in which the elements of culture (e.g., language, religion, education, traditions) may influence the understanding and use of geographic information
        • Recognize the impact of one’s social background on one’s own geographic worldview andperceptions and how it influences one’s use of GIS
        • Collaborate effectively with colleagues of differing social backgrounds in developing balancedGIS applications
      • Topic CF2-7 (0)
        • Evaluate the influences of political ideologies (e.g., Marxism, Capitalism, conservative/liberal) onthe understanding of geographic information
        • Evaluate the influences of political actions, especially the allocation of territory, on humanperceptions of space and place
        • Recognize the constraints that political forces place on geospatial applications in public andprivate sectors
    • CUnit: CF3 Domains of geographic information (0)

      Geographic phenomena, geographic information, and geographic tasks are described in terms of space, time, and properties. Different theories exist as to the nature and formal representation of these aspects, including space-like dimensions, sets, and phenomenology. Information in each of these three “aspects” is measured and reported with respect to one of several frames of reference or domains, including both absolute and relative approaches. Early frameworks such as that of Berry (1964) and Sinton (1978) were influential in setting forth the importance of space, time, and theme in GIS. This unit is closely tied to the creation of data models in Knowledge Area DM Data Modeling

      • Topic CF3-1 (0)
        • Define the four basic dimensions or shapes used to describe spatial objects (i.e., points, lines,regions, volumes)
        • Differentiate between absolute and relative descriptions of location
        • Differentiate between common-sense, Cartesian/metric, relational, relativistic, phenomenological, social constructivist, and other theories of the nature of space
        • Discuss the contributions that different perspectives on the nature of space bring to anunderstanding of geographic phenomenon
        • Justify the discrepancies between the nature of locations in the real world and representationsthereof (e.g., towns as points)
        • Select appropriate spatial metaphors and models of phenomena to be represented in GIS
        • Develop methods for representing non-cartesian models of space in GIS
        • Discuss the advantages and disadvantages of the use of cartesian/metric space as a basis forGIS and related technologies
      • Topic CF3-2 (0)
        • Differentiate between mathematical and phenomenological theories of the nature of time
        • Exemplify different temporal frames of reference: linear and cyclical, absolute and relative
        • Recognize the role that time plays in “static” GISystems
        • Compare and contrast models of a given spatial process using continuous and discreteperspectives of time
        • Select the temporal elements of geographic phenomena that need to be represented in particular GIS applications
      • Topic CF3-3 (0)
        • Discuss common prepositions and adjectives (in any particular language) that signify eitherspatial or temporal relations but are used for both kinds, such as “after” or “longer”
        • Compare and contrast the characteristics of spatial and temporal dimensions
        • Identify various types of geographic interactions in space and time
        • Describe different types of movement and change
        • Understand the physical notions of velocity and acceleration which are fundamentally aboutmovement across space through time
      • Topic CF3-4 (0)
        • Define Stevens’ four scales of measurement (nominal, ordinal, interval, ratio)
        • Recognize attribute domains that do not fit well into Stevens’ four scales of measurement(nominal, ordinal, interval, ratio), such as cycles, indexes, and hierarchies
        • Describe particular geographic phenomena in terms of attributes
        • Characterize the domains of attributes in a GIS, including continuous and discrete, qualitative and quantitative, absolute and relative
        • Determine the proper uses of attributes based on their domains
        • Recognize situations and phenomena in the landscape which cannot be adequately represented by formal attributes, such as aesthetics
        • Formalize attribute values and domains in terms of Set Theory
        • Compare and contrast the theory that properties are fundamental (and objects are humansimplifications of patterns thereof) with the theory that objects are fundamental (and propertiesare attributes thereof)
        • Develop alternative forms of representations for situations in which attributes do not adequately capture meaning
    • CUnit: CF4 Elements of geographic information (0)

      The concepts below form the basic elements of common human conceptions of geographic phenomena. Concepts from many units in this knowledge area have been synthesized to create general conceptual models of geographic information. Attempts to resolve the “object-field debate” have led to attempts to create comprehensive models that bridge these views. Consideration of this unit should also include formal models of these elements in mathematics and other fields. Knowledge Area DM Data Modeling discusses the representation of these elements in digital models

      • Topic CF4-1 (0)
        • Discuss the human predilection to conceptualize geographic phenomena in terms of discreteEntities
        • Describe particular entities in terms of space, time, and properties
        • Describe the perceptual processes (e.g., edge detection) that aid cognitive objectification
        • Compare and contrast differing epistemological and metaphysical viewpoints on the “reality” ofgeographic entities
        • Identify the types of features that need to be modeled in a particular GIS application or procedure
        • Identify phenomena that are difficult or impossible to conceptualize in terms of entities
        • Describe the difficulties in modeling entities with ill-defined edges
        • Describe the difficulties inherent in extending the “tabletop” metaphor of objects to the geographic environment
        • Evaluate the effectiveness of GIS data models for representing the identity, existence, andlifespan of entities
        • Justify or refute the conception of fields (e.g., temperature, density) as spatially-intensiveattributes of (sometimes amorphous and anonymous) entities
        • Model “gray area” phenomena, such as categorical coverages (a.k.a. discrete fields), in terms ofObjects
        • Evaluate the influence of scale on the conceptualization of entities
      • Topic CF4-2 (0)
        • Compare and contrast the concepts of continuants (entities) and occurrents (events)
        • Compare and contrast the concepts of event and process
        • Describe particular events or processes in terms of identity, categories, attributes, locations, etc.
        • Evaluate the assertion that “events and processes are the same thing, but viewed at differenttemporal scales”
        • Apply or develop formal systems for describing continuous spatio-temporal processes
        • Describe the “actor” role that entities and fields play in events and processes
        • Discuss the difficulty of integrating process models into GIS software based on the entity and field views, and methods used to do so
      • Topic CF4-3 (0)
        • Define a field in terms of properties, space, and time
        • Identify applications and phenomena that are not adequately modeled by the field view
        • Identify examples of discrete and continuous change found in spatial, temporal, and spatiotemporal fields
        • Differentiate various sources of fields, such as substance properties (e.g., temperature), artificial constructs (e.g., population density), and fields of potential or influence (e.g., gravity)
        • Formalize the notion of field using mathematical functions and Calculus
        • Relate the notion of field in GIS to the mathematical notions of scalar and vector fields
        • Recognize the influences of scale on the perception and meaning of fields
        • Evaluate the representation of movement as a field of location over time [e.g. = f(t) ]
        • Evaluate the field view’s description of “objects” as conceptual discretizations of continuousPatterns
      • Topic CF4-4 (0)
        • Discuss the contributions of early attempts to integrate the concepts of space, time, and attribute in geographic information, such as Berry (1964) and Sinton (1978)
        • Illustrate major integrated models of geographic information, such as Peuquet’s Triad, Mennis’Pyramid, and Yuan’s Three-Domain
        • Determine whether phenomena or applications exist that are not adequately represented in anexisting comprehensive model
        • Discuss the degree to which these models can be implemented using current technologies
        • Design data models for specific applications based on these comprehensive general models
    • Unit: CF5 Relationships (0)

      Like geography, geographic information not only models phenomena but the relationships between them. This can include relationships between entities, between attributes, between locations. In addition, one of the strengths of geography (and GIS) is its ability to use a spatial perspective to relate disparate subjects, such as climate and economy. Methods for analyzing relationships are discussed in Unit AM4 Modeling relationships and patterns

      • Topic CF5-1 (0)
        • Explain the human tendency to simplify the world using categories
        • Identify specific examples of categories of entities (i.e., common nouns), properties (i.e.,adjectives), space (i.e., regions), and time (i.e., eras)
        • Explain the role of categories in common-sense conceptual models, everyday language, andanalytical procedures
        • Recognize and manage the potential problems associated with the use of categories (e.g., the ecological fallacy)
        • Construct taxonomies and dictionaries (also known as formal ontologies) to communicatesystems of categories
        • Describe the contributions of category theory to understanding the internal structure of categories
        • Document the personal, social, and/or institutional meaning of categories used in GISApplications
        • Create or use GIS data structures to represent categories, including attribute columns,layers/themes, shapes, legends, etc.
        • Use categorical information in analysis, cartography, and other GIS processes, avoiding common interpretation mistakes
        • Reconcile differing common-sense and official definitions of common geospatial categories of entities, attributes, space, and time
      • Topic CF5-2 (0)
        • Describe particular geographic phenomena in terms of their place in mereonomic hierarchies(parts and composites)
        • Identify phenomena that are best understood as networks
        • Explain the modeling of structural relationships in standard GIS data models, such as storedTopology
        • Represent structural relationships in GIS data
        • Explain the effects of spatial or temporal scale on the perception of structure
        • Explain the contributions of formal mathematical methods such as Graph Theory to the study and application of geographic structures
      • Topic CF5-3 (0)
        • Describe ways in which a geographic entity can be created from one or more others
        • Describe the genealogy (as identity-based change or temporal relationships) of particulargeographic phenomena
        • Determine whether it is important to represent the genealogy of entities for a particular application
        • Discuss the effects of temporal scale on the modeling of genealogical structures
      • Topic CF5-4 (0)
        • Define various terms used to describe topological relationships, such as disjoint, overlap, within, and intersect
        • Describe geographic phenomena in terms of their topological relationships (in space and time) to other phenomena
        • List the possible topological relationships between entities in space (e.g., 9-intersection) and time
        • Use methods that analyze topological relationships
        • Recognize the contributions of Topology (the branch of mathematics) to the study of geographic relationships
      • Topic CF5-5 (0)
        • Describe geographic phenomena in terms of their distances and directions (in space and time) toother phenomena
        • Define spatial autocorrelation in the context of geographic proximity
        • Use methods that analyze metrical relationships
        • Identify situations in which Tobler’s First Law of Geography is valuable
        • Identify situations in which Tobler's First Law of Geography does not apply
        • Explain why Tobler’s First Law of Geography is fundamental to many operations in GIS andwhether it should be
        • Define the principle of friction of distance and geographic models that are based on it (e.g.,gravity models, spatial interaction models)
      • Topic CF5-6 (0)
        • Find spatial patterns in the distribution of geographic phenomena using geographic visualizationand other techniques
        • Discuss the causal relationship between spatial processes and spatial patterns, including thepossible problems in determining causality
        • Hypothesize the causes of a pattern in the spatial distribution of a phenomenon
        • Differentiate among distributions in space, time, and attribute
        • Identify influences of scale on the appearance of distributions
        • Employ techniques for visualizing, describing, and analyzing distributions in space, time, andAttribute
      • Topic CF5-7 (0)
        • Delineate regions using properties, spatial relationships, and geospatial technologies
        • Exemplify regions found at different scales
        • Explain the relationship between regions and categories
        • Differentiate among different types of regions, including functional, cultural, physical,administrative, and others
        • Identify the kinds of phenomena that are commonly found at the boundaries of regions
        • Explain why general-purpose regions rarely exist
        • Compare and contrast the opportunities and pitfalls of using regions to aggregate geographicinformation (e.g., census data)
        • Use established analysis methods that are based on the concept of region (e.g., landscapeecology)
        • Explain the nature of the Modifiable Areal Unit Problem (MAUP)
      • Topic CF5-8 (0)
        • Describe the ways in which a spatial perspective enables the synthesis of different subjects (e.g.,climate and economy)
        • Describe the common constraints on spatial integration
        • Use established analysis methods that are based on the concept of spatial integration (e.g.,overlay)
    • Unit: CF6 Imperfections in geographic information (0)

      Human models (mental, digital, visual, etc.) of the geographic environment are necessarily imperfect. While the mathematical principle of homomorphism (often operationalized as “fitness for use”) allows for imperfect data to be useful as long as they yield results adequate for the use for which they are intended, imperfections are frequently problematic. Although terminology still varies, two types of imperfection are generally accepted: vagueness (a.k.a. fuzziness, imprecision, and indeterminacy), which is generally caused by human simplification of a complex, dynamic, ambiguous, subjective world; and uncertainty (or ambiguity), generally the result of imperfect measurement processes (as discussed in Knowledge Area GD Geospatial Data). Both of these can be manifested in all forms of geographic information, including space, time, attribute, categories, and even existence. Imperfection is also dealt with in Units GD6 Data quality (in the context of measurement), GC8 Uncertainty and GC9 Fuzzy sets (for the handling and propagation of imperfections), and CV4 Graphic representation techniques (in the context of visualization)

      • Topic CF6-1 (0)
        • Compare and contrast the meanings of related terms such as vague, fuzzy, imprecise, indefinite,indiscrete, unclear, and ambiguous
        • Evaluate the role that system complexity, dynamic processes, and subjectivity play in the creation of vague phenomena and concepts
        • Identify the hedges used in language to convey vagueness
        • Describe the cognitive processes that tend to create vagueness
        • Differentiate applications in which vagueness is an acceptable trait from those in which it isunacceptable
        • Recognize the degree to which vagueness depends on scale
        • Evaluate vagueness in the locations, time, attributes, and other aspects of geographicphenomena
        • Differentiate between the following concepts: vagueness and ambiguity, well defined and poorlydefined objects and fields or discord and non-specificity
      • Topic CF6-2 (0)
        • Compare and contrast the relative merits of fuzzy sets, rough sets, and other models
        • Explain the problems inherent in fuzzy sets
        • Create appropriate membership functions to model vague phenomena
        • Differentiate between fuzzy set membership and probabilistic set membership
      • Topic CF6-3 (0)
        • Define uncertainty-related terms, such as error, accuracy, uncertainty, precision, stochastic,probabilistic, deterministic, and random
        • Differentiate uncertainty in geospatial situations from vagueness
        • Recognize the degree to which the importance of uncertainty depends on scale and application
        • Recognize expressions of uncertainty in language
        • Evaluate the causes of uncertainty in geospatial data
        • Describe a stochastic error model for a natural phenomenon
        • Explain how the familiar concepts of geographic objects and fields affect the conceptualization ofUncertainty
      • Topic CF6-4 (0)
        • Describe the basic principles of randomness and probability
        • Devise simple ways to represent probability information in GIS
        • Recognize the assumptions underlying probability and geostatistics and the situations in which they are useful analytical tools
        • Compute descriptive statistics and geostatistics of geographic data
        • Interpret descriptive statistics and geostatistics of geographic data
  • Knowledge Area: CV Cartography and Visualization (24)

    Cartography and visualization primarily relate to the visual display of geographic information. Thisknowledge area addresses the complex issues involved in effective visual thinking and communication of geospatial data and of the results of geospatial analysis. This knowledge area reflects much of the domain of cartography and visualization, although some concepts and skills in these areas can be found in other knowledge areas. For example, the process of visualization encompasses aspects of analysis as well as cartography. Specifically, visualization is currently being reformulated as visual analytics in the context of homeland security

    • Unit: CV1 History and trends (0)

      The history of cartography can be described as is an interplay of change in: the motives for mapping, the history of exploration, printing technologies, data collection technologies, design technologies, scientific understanding of map use, visual analysis of graphic displays, application domains and creative design innovations

      • Topic CV1-1 (0)
        • Describe how compilation, production, and distribution methods used in map making haveEvolved
        • Describe how symbolization methods used in map making have evolved
        • Describe the contributions by Robinson, Jenks, Raisz, etc. to US academic cartography
        • Discuss the influence of some cartographers of the 16th and 17th centuries (Mercator, Ortelius,Jansson, Homann and others)
        • Discuss the perspectives of Brian Harley and others on the political motivation for thedevelopment of certain kinds of maps
        • Discuss the relationship between the history of exploration and the development of a moreaccurate map of the world
        • Discuss the Swiss influence on map design and production, highlighting Imhof’s contributionsOutline the development of some of the major map projections (e.g., Mercator, Gnomonic,Robinson)
        • Explain how Bertin has influenced trends in cartographic symbolization
        • Explain how technological changes have affected cartographic design and production
        • Explain the impact of advances in visualization methods in the evolution of cartography
        • Compare and contrast cartographic developments in various countries and world regions such asSwitzerland, France, China, the Middle East, and Greece
      • Topic CV1-2 (0)
        • Discuss the impact that mapping on the Web via applications, such as Google Earth, have had onthe practice of Cartography
        • Explain how emerging technologies in related fields (e.g., the stereoplotter, aerial and satelliteimagery, GPS and LiDAR, the World Wide Web, immersive and virtual environments) haveadvanced cartography and visualization methods
        • Explain how MacEachren’s Cartography-cubed (C3) concept can be used to understand theevolving role of cartography and visualization
        • Explain how software innovations such as SYMAP, Surfer, and automated contouring methodshave affected the design of maps
        • Evaluate the advantages and limitations of various technological approaches to mapping
        • Select new technologies in related fields that have the most potential for use in cartography andVisualization
    • CUnit: CV2 Data considerations (8)

      This unit relates to data compilation and management for cartography and visualization. Certain data manipulations can, and should, be made prior to symbolization and labeling, although they are not made without consideration of the symbolization and labeling that will be applied. The symbolization and labeling requirements will shape the way the data used in the displays are selected, generalized, classified, projected, and otherwise manipulated. In this section, the considerations for data selection, subsequent abstraction for cartographic and visualization purposes, and manipulations for display are considered. Note that fundamental related topics such as projections and datums are introduced in Knowledge Area GD Geospatial Data rather than here. The procedures for implementing the tasks described in this unit are primarily covered in Unit DN2 Generalization and aggregation

      • Topic CV2-1 (0)
        • List the data required to compile a map that conveys a specified message
        • List the data required to explore a specified problem
        • Discuss the extent, classification and currency of government data sources and their influence on mapping
        • Discuss the issue of conflation of data from different sources or for different uses as it relates to mapping
        • Describe a situation in which it would be acceptable to use smaller scale data source forcompilation to compile a larger scale map
        • Describe the copyright issues involved in various cartographic source materials
        • Explain how data acquired from primary sources, such as satellite imagery and GPS, differ from data compiled for map sources such as Digital Line Graphs (DLGs)
        • Explain how data acquired from primary sources, such as satellite imagery and GPS, differ from data compiled from maps, such as DLGs
        • Explain how digital data compiled from map sources (such as DLGs) influences how subsidiary maps are compiled and used
        • Explain how geographic names databases (i.e., gazetteer) are used for mapping
        • Explain how the inherent properties of digital data (such as Digital Elevation Models, DEMs)influences how maps can be compiled from them
        • Identify the types of attributes that will be required to map a particular distribution for selected geographic features
        • Determine the standard scale of compilation of government data sources
        • Assess the data quality of a source dataset for appropriateness for a given mapping task,including an evaluation of the data resolution, extent, currency or date of compilation, and level of generalization in the attribute classification
        • Compile a map using at least three data sources
      • Topic CV2-2 (0)
        • Discuss advantages and disadvantages of various data classification methods for choroplethmapping, including equal interval, quantiles, mean-standard deviation, natural breaks, and“optimal” methods
        • Discuss the limitations of current technological approaches to generalization for mappingPurposes
        • Explain how generalization of one data theme can and must be reflected across multiple themes(e.g., if the river moves, the boundary, roads and towns also need to move)
        • Explain how the decisions for selection and generalization are made with regard to symbolizationin mapping
        • Explain why the reduction of map scale sometimes results in the need for mapped features to bereduced in size and moved
        • Identify mapping tasks that require each of the following: smoothing, aggregation, simplification,and displacement
        • Illustrate specific examples of feature elimination and simplification suited to mapping at smallerScales
        • Demonstrate how different classification schemes produce very different maps from a single setof interval or ratio data
        • Apply appropriate selection criteria to change the display of map data to a smaller scale
        • Write algorithms to perform equal interval, quantiles, mean-standard deviation, natural breaks,and “optimal” classification for choropleth mapping
      • Topic CV2-3 (0)
        • Identify the map projections commonly used for certain types of maps
        • Identify the most salient projection property of various generic mapping goals (e.g., choropleth map, navigation chart, flow map, etc.)
        • Explain why certain map projection properties have been associated with specific map types
        • Select appropriate projections for world or regional scales that are suited to specific mappurposes and phenomena with specific directional orientations or thematic areal aggregations
        • Determine the parameters needed to optimize the pattern of scale distortion that is associated with a given map projection for a particular mapping goal and area of interest
        • Diagnose an inappropriate projection choice for a given map and suggest an alternative
        • Construct a map projection suited to a given purpose and geographic location
    • CUnit: CV3 Principles of map design (8)

      This topic covers basic design principles that are used in mapping and visualization, as well ascartographic design principles specific to the display of geographic data. Both page layout design and data display are addressed

      • Topic CV3-1 (0)
        • List the major factors that should be considered in preparing a map
        • Describe the design needs of special purpose maps such as subdivision plans, cadastralmapping, drainage plans, nautical charts, aeronautical charts, geological maps, military maps,wire-mesh volume maps, and 3D plans of urban change
        • Describe differences in design needed for a map that is to be viewed on the Internet versus as a 5x7 foot poster, including a discussion of the effect of viewing distance, lighting, and media type
        • Discuss how to create an intellectual and visual hierarchy on maps
        • Discuss the differences between maps that use the same data but are for different purposes and intended audiences
        • Discuss Tufte’s influence (or lack thereof) on cartographic design
        • Critique the graphic design of several maps in terms of balance, legibility, clarity, visual contrast, figure-ground organization, and hierarchal organization
        • Critique the layout of several maps, taking into account the map audience and purpose and the graphic design (visual balance, hierarchy, figure-ground), as well as the map components (north arrow, scale bar, and legend)
        • Design maps that are appropriate for users with vision limitations
        • Apply one or more Gestalt principles to achieve appropriate figure-ground for map elements
        • Prepare different map layouts using the same map components (main map area, inset maps,titles, legends, scale bars, north arrows, grids and graticule) to produce maps with very distinctive purposes
        • Prepare different maps using the same data for different purposes and intended audiences (e.g. expert and novice hikers)
      • Topic CV3-2 (0)
        • List the variables used in the symbolization of map data for visual, tactile, haptic, auditory, anddynamic display
        • Identify the visual variables (size, lightness, shape, hue, etc.) and graphic primitives (points, lines,areas) commonly used in maps to represent various geographic features at all attributemeasurement scales (nominal, ordinal, interval, ratio)
        • Illustrate how a single geographic feature can be represented by various graphic primitives e.g.land surface as a set of elevation points, as contour lines, as hypsometric layers or tints, and as ahillshaded surface)
        • Select effective symbols for map features based on the dimensionality and attributes of thegeographic phenomena being mapped
        • Design map symbols with sufficient contrast to be distinguishable by typical users
      • Topic CV3-3 (0)
        • List the range of factors that should be considered in selecting colors
        • Describe color decisions made for various production workflows
        • Describe how cultural differences with respect to color associations impact map design
        • Describe the common color models used in mapping
        • Determine the CMYK (cyan, magenta, yellow, and black) primary amounts in a selection of colors
        • Discuss the role of “gamut“ in choosing colors that can be reproduced on various devices andMedia
        • Explain how real-world connotations (e.g. blue=water, white=snow) can be used to determine color selections on maps
        • Exemplify colors for different forms of harmony, concordance, and balance
        • Estimate RGB (red, green, blue) primary amounts in a selection of colors
        • Plan color proofing suited for checking a map publication job
        • Select a color scheme (e.g., qualitative, sequential, diverging, spectral) that is appropriate for a given map purpose and variable
        • Select colors appropriate for map readers with color limitations
        • Specify a set of colors in device-independent Commision Internationale de L'Eclairage (CIE)Specifications
      • Topic CV3-4 (0)
        • Name the authorities used to confirm the spelling of geographic names for a specific mappingProject
        • Describe the role of labels in assisting readers in understanding feature locations (e.g., label tothe right of point, label follows line indicating its position, area label assists understanding extentof feature and feature type)
        • Compare and contrast the strengths and limitations of methods for automatic label placementCompare and contrast the relative merits of having map labels placed dynamically versus havingthem saved as annotation data
        • Explain how text properties can be used as visual variables to graphically represent the type andattributes of geographic features
        • Explain how to label features with indeterminate boundaries (canyons, oceans, etc.)
        • Position labels on a map to name point, line, and area features
        • Apply the appropriate technology to place name labels on a map using a geographic namesDatabase
        • Set type font, size, style and color for labels on a map by applying basic typography designPrinciples
        • Create a set of mapping problems that can be used to illustrate point, line, and area labelconventions for placing text on maps
        • Solve a labeling problem for a dense collection of features on a map using minimal leader lines
    • Unit CV4 Graphic representation techniques (0)

      This unit addresses mapping methods and the variations of those methods for specialized mapping and visualization instances, such as thematic mapping, dynamic and interactive mapping, Web mapping, mapping and visualization in virtual and immersive environments, using the map metaphor to display other forms of data (spatialization), and visualizing uncertainty. Analytical techniques used to derive the data employed in these graphic representations are discussed in Knowledge Area AM Analytical Methods and Unit DN2 Generalization and aggregation

      • Topic CV4-1 (0)
        • Describe the design considerations for each of the following methods: choropleth, dasymetric,proportioned symbol, graduated symbol, isoline, dot, cartogram, and flow map
        • Evaluate the strengths and limitations of each of the following methods: choropleth, dasymetric,proportioned symbol, graduated symbol, isoline, dot, cartogram, and flow map
        • Explain why choropleth maps should (almost) never be used for mapping count data and suggestalternative methods for mapping count data
        • Choose suitable mapping methods for each attribute of a given type of feature in a GIS (e.g.,roads with various attributes such as surface type, traffic flow, number of lanes, direction such asone-way, etc.)
        • Select base information suited to providing a frame of reference for thematic map symbols (e.g.,network of major roads and state boundaries underlying national population map)
        • Create maps using each of the following methods: choropleth, dasymetric, proportioned symbol,graduated symbol, isoline, dot, cartogram, and flow map
        • Create well-designed legends using the appropriate conventions for the following methods:choropleth, dasymetric, proportioned symbol, graduated symbol, isoline, dot, cartogram, and flowmap
      • Topic CV4-2 (0)
        • Differentiate the interpretation of a series of three maps and a single multivariate map, eachrepresenting the same three related variables
        • Explain the relationship among several variables in a parallel coordinate plot
        • Detect a multivariate outlier using a combination of maps and graphs
        • Design a map series to show the change in a geographic pattern over time
        • Design a single map symbol that can be used to symbolize a set of related variables
        • Create a map that displays related variables using different mapping methods (e.g., choroplethand proportional symbol, choropleth and cartogram)
        • Create a map that displays related variables using the same mapping method (e.g., bivariatechoropleth map, bivariate dot map)
      • Topic CV4-3 (0)
        • Explain how interactivity influences map use in animated displays
        • Describe a mapping goal in which the use of each of the following would be appropriate:brushing, linking, multiple displays
        • Describe the uses of the map as a user interface element in interactive presentations ofgeographic information
        • Critique the interactive elements of an online map
        • Develop a useful interactive interface and legend for an animated map
        • Create an animated map for a specified purpose
        • Create an interactive map suitable for a given audience
      • Topic CV4-4 (0)
        • Describe situations in which methods of terrain representation (e.g., shaded relief, contours,hypsometric tints, block diagrams, profiles) are well suited
        • Describe situations in which methods of terrain representation are poorly suited
        • Differentiate 3D representations from 2 ½ D representations
        • Explain how maps that show the landscape in profile can be used to represent terrain
        • Create a map that represents both slope and aspect on the same map using the Moellering-Kimerling coloring method
      • Topic CV4-5 (0)
        • Describe considerations for using maps on the Web as a method for downloading data
        • Discuss the influence of the user interface on maps and visualizations on the Web
        • Critique the user interface for existing Internet mapping services
        • Construct a Web page that includes an interactive map
        • Edit the symbology, labeling, and page layout for a map originally designed for hard copy printing so that it can be seen and used on the Web
      • Topic CV4-6 (0)
        • Discuss the nature and use of virtual environments such as Google Earth
        • Explain how the virtual and immersive environments become increasingly more complex as we move from the relatively non-immersive VRML desktop environment to a stereoscopic display (e.g., a GeoWall) to a more fully immersive CAVE
        • Explain how various data formats and software and hardware environments support immersive visualization
        • Compare and contrast the relative advantages of different immersive display systems used for cartographic visualization (e.g., CAVEs, GeoWalls)
        • Evaluate the extent to which a GeoWall or CAVE does or does not enhance understanding ofspatial data
      • Topic CV4-7 (0)
        • Explain how spatial metaphors can be used to illustrate the relationship among ideas
        • Explain how spatialization is a core component of visual analytics
        • Evaluate graphic techniques used to portray spatializations
        • Create a pseudo-topographic surface to portray the relationships in a collection of documents
        • Create a concept map that represents the contents and topology of a physical or social process
      • Topic CV4-8 (0)
        • Describe how the adding time-series data reveals or does not reveal patterns not evident in across-sectional data
        • Describe how an animated map reveals patterns not evident without animation
        • Demonstrate how Bertin’s “graphic variables” can be extended to include animation effects
        • Create a temporal sequence representing a dynamic geospatial process
      • Topic CV4-9 (0)
        • Describe a technique that can be used to represent the value of each of the components of dataquality (positional and attribute accuracy, logical consistency, and completeness)
        • Apply multivariate and dynamic visualization methods to display uncertainty in data
        • Sketch a map with a reliability overlay using symbols suited to reliability representations
        • Develop graphic techniques that clearly show different forms of inexactness (e.g., existenceuncertainty, boundary location uncertainty, attribute ambiguity, transitional boundary) of a givenfeature (e.g., a culture region)
    • Unit: CV5 Map production (0)

      This topic area addresses map production and reproduction, as well as computation issues that relate to those workflows

      • Topic CV5-1 (0)
        • Identify areas in cartography and visualization that have, and those that have not, advancedbecause of computational approaches
        • Describe the structure and function of geographic names databases (i.e., gazetteer) for use inMapping
        • Differentiate between GIS and graphics software tools for mapping and those for visualizationPurposes
        • Explain how optimization techniques are improving the automated design of maps
        • Explain how the concept “digital cartographic models” unifies a number of principles for computer cartography
        • Explain how the rise of interoperability and open standards has affected the production ofcartographic representations and visualizations
      • Topic CV5-2 (0)
        • Differentiate among the various raster map outputs (JPG, GIF, TIF) and various vector formats(PDF, Adobe Illustrator Postscript)
        • Discuss the purpose of advanced production methods (e.g., stochastic screening, hexachromecolor, color management and device profiles, trapping, overprinting)
        • Explain how color fastness and color consistency are ensured in map production
        • Compare and contrast the file formats suited to presentation of maps on the Web (e.g., PDF andJPEG) to those suited to publication in high resolution contexts (e.g., TIFF, PDF, Adobe IllustratorPostscript)
        • Compare and contrast the issues that arise for map production using black-and-white and fourcolor process specifications
        • Outline the process for the digital production of offset press printed maps, including reference tofeature and color separates, feature and map composites, and resolution
        • Compare outputs of the same map at various low and high resolutions
        • Critique typographic integrity in export formats (e.g., some file export processes break type intoletters degrading searchability, font processing, and reliability of Raster Image Processing)
        • Prepare a map file for CMYK publication in a book
        • Prepare a map file for RGB presentation on a Web site
      • Topic CV5-3 (0)
        • Describe print quality characteristics and price differences for limited-run color map distribution
        • Describe production concerns that might be discussed with a publisher who will print a mapProduct
        • Compare and contrast the quality of product evaluation that can be made from process proofs and color laser prints
        • Outline the stages in lithographic offset printing
        • Prepare a color map for black-and-white photocopy distribution
        • Specify a print job for publication, including paper, ink, lpi, proof needs, press check and other contract decisions
    • CUnit: CV6 Map use and evaluation (8)

      Map use addresses how the user utilizes the map or visualization for map reading, analysis, discovery and interpretation. Map reading is the translation of the graphic or other representation of features into a mental image of the environment. It involves the identification of map symbols and the interpretation of the symbology to understand the geographic phenomena. Map analysis allows the reader to analyze and understand the spatial structure of and relationships among features on a map. Visualizations often allow discovery of unexpected patterns and associations in data sets. Interpretation allows the reader to seek explanations for unusual or interesting patterns on maps. The reader can either look at one map and seek explanations for the patterns observed or look at several maps and seek understanding of the variations (perhaps through time) between the maps. Evaluation leads to better understanding of the user experience with the map or visualization. This unit also examines the impact of uncertainty in the data on the map use and evaluation of the use of the displayed data by the map reader. Technical aspects of uncertainty are covered in more depth in Unit GC8 Uncertainty and Unit GD6 Data quality

      • Topic CV6-1 (0)
        • Describe how maps such as topographic maps are produced within certain relations of power and knowledge
        • Discuss how the choices used in the design of a road map will influence the experience visitorsmay have of the area
        • Explain how legal issues impact the design and content of such special purpose maps assubdivision plans, nautical charts and cadastral maps
        • Exemplify maps that illustrate the provocative, propaganda, political, and persuasive nature ofmaps and geospatial data
        • Demonstrate how different methods of data classification for a single dataset can produce mapsthat will be interpreted very differently by the user
        • Deconstruct the silences (feature omissions) on a map of a personally well known area
        • Construct two maps about a conflict or war producing one supportive of each side’s viewpoint
      • Topic CV6-2 (0)
        • Discuss the pros and cons of using conventional symbols (e.g., blue is water, green is vegetation,Swiss cross is a hospital) on a map
        • Explain how the anatomy of the eye and its visual sensor cells affect how one sees maps, interms of attention, acuity, focus, and color
        • Explain how memory limitations effect map reading tasks
        • Find specified features on a topographic map (e.g., gravel pit, mine entrance, well, land grant)
        • Match map labels to the corresponding features
        • Match the symbols on a map to the corresponding explanations in the legend
        • Execute a well designed legend that facilitates map reading
      • Topic CV6-3 (0)
        • Compare and contrast the interpretation of landscape, geomorphic features, and humansettlement types shown on a series of topographic maps from several different countries
        • Match features on a map to corresponding features in the world
        • Identify the landforms represented by specific patterns in contours on a topographic map
        • Hypothesize about geographic processes by synthesizing the patterns found on one or morethematic maps or data visualizations
      • Topic CV6-4 (0)
        • Describe maps that can be used to find direction, distance, or position, plan routes, calculate area or volume, or describe shape
        • Describe the differences between azimuths, bearings, and other systems for indicating directions
        • Explain how maps can be used in determining an optimal route or facility selection
        • Explain how maps can be used in terrain analysis (e.g., elevation determination, surface profiles,slope, viewsheds, and gradient)
        • Explain how the types of distortion indicated by projection metadata on a map will affect mapMeasurements
        • Explain the differences between true north, magnetic north, and grid north directional references
        • Compare and contrast the manual measurement of the areas of polygons on a map printed froma GIS with those calculated by the computer and discuss the implications these variations inmeasurement might have on map use
        • Determine feature counts of point, line, and area features on maps
        • Analyze spatial patterns of selected point, line and area feature arrangements on maps
        • Calculate slope using a topographic map and a DEM
        • Calculate the planimetric and actual road distances between two locations on a topographic map
        • Create a profile of a cross section through a terrain using a topographic map and a digitalelevation model (DEM)
        • Measure point-feature movement and point-feature diffusion on maps
        • Plan an orienteering tour of a specific length that traverses slopes of an appropriate steepnessand crosses streams in places that can be forded based on a topographic map
      • Topic CV6-5 (0)
        • Describe the baseline expectations that a particular map makes of its audience
        • Discuss the use limitations of the USGS map accuracy standards for a range of projectsdemanding different levels of precision (e.g., driving directions versus excavation planning)
        • Compare and contrast the interpretive dangers (e.g., ecological fallacy, modifiable areal unitproblem) that are inherent to different types of maps or visualizations and their underlyinggeographic data
        • Identify several uses for which a particular map is or is not effective
        • Identify the particular design choices that make a map more or less effective
        • Evaluate the effectiveness of a map for its audience and purpose
        • Design a testing protocol to evaluate the usability of a simple graphical user interface
        • Perform a rigorous sampled field-check of the accuracy of a map
      • Topic CV6-6 (0)
        • Describe a scenario in which possible errors in a map may impact subsequent decision making,such as a land use decision based on a soils map
        • Compare the decisions made using a map with a reliability overlay from those made using a mappair separating data and reliability, both drawn from the same dataset
        • Critique the assumption that maps can or should be “accurate”
        • Evaluate the uncertainty inherent in a map
  • Knowledge Area: DA Design Aspects (12)

    Proper design, and the validation and verification of design activities, are critical components of work in all areas related to GI S&T. Design failures can negate the best efforts of members of the GIScience community to apply GIScience concepts and technology to the solution of real-world problems. While sharing a number of concerns with general systems analysis, the unique and complex spatial elements of geospatial information provide significant additional challenges. Viable design methodologies are required in GI S&T for building tools to solve real-world problems. The focus of this knowledge area is on the design of applications and databases for a particular need; the design of general-purpose models and tools (e.g., raster, vector) is covered in Knowledge Area DM Data Modeling. In the context of specific implementations, design activities fall into three general classes:1. Application Design addresses the development of workflows, procedures, and customized software tools for using geospatial technologies and methods to accomplish both routine and unique tasks that are inherently geographic.2. Analytic Model Design incorporates methods for developing effective mathematical and other models of spatial situations and processes. The design of the analytic model is often influenced by decisions that are made about data models and structures.3. Database Design concerns the optimal organization of the necessary spatial data in a computer environment in order to efficiently sustain a particular application or enterprise.Several units in Knowledge Area GD Geospatial Data follow from Knowledge Area DA Design Aspects, especially those that discuss the collection of data in conformance with the designs discussed herein. This knowledge area is also closely related to Knowledge Area OI Organizational and Institutional Aspects, which discusses several issues relating to the management of systems in organizations after they are designed and implemented. Beyond GI S&T, this knowledge area has strong ties to informationscience and technology (see Gorgone, G. B. & others, 2002, IS 2000: Model Curriculum Guidelines for Undergraduate Programs in Information Systems, and Gorgone, G. B. & Gray, P., 2000, MSIS 2000: Model Curriculum and Guidelines for Graduate Degree Programs in Information Systems), and to business management in the area of resource planning. Some of the methods of geospatial system design are identical to established methods in information system design, while others are unique

    • Unit: DA1 The scope of GI S&T system design (0)

      Geospatial applications, such as GIS, consist of data and procedures (automated or manual) that attempt to represent real world phenomena and processes. While necessarily imperfect, these applications should be homomorphic (in a mathematical sense) to the world, meaning that they are close enough to achieve acceptable results These applications are built in different situations, ranging from systems put together to solve a single problem to permanent enterprise databases

      • Topic DA1-1 (0)
        • Define a homomorphism as a mathematical property
        • Describe the ways in which an existing model faithfully represents reality and the ways in which it does not
        • Evaluate existing systems to determine whether they are adequate representations
        • Assess the data quality needed for a new application to be successful
        • Recognize the advantages and disadvantages of using models to study and manage the world as opposed to experimenting in the world directly
      • Topic DA1-2 (0)
        • Differentiate the three major parts of a model
        • Identify the composition of existing models
        • Explain the importance of context in effectively using models
        • Describe the mapping from components of the world (and conceptualizations of them) to the components of a model
      • Topic DA1-3 (0)
        • Differentiate between project-specific applications and enterprise systems
        • Identify tasks that are structured, semi-structured, and unstructured
        • Differentiate between applications for scientific research and resource management decision support
      • Topic DA1-4 (0)
        • Differentiate between general data models and application-specific data models
        • Differentiate among application design, database design, and analytic model design
      • Topic DA1-5 (0)
        • Describe the major approaches to the design of geospatial systems
        • Compare and contrast the relative merits of the use-case driven and architecture-centric design processes
        • Analyze past cases to identify best practices of design and implementation
    • Unit: DA2 Project definition (0)

      The first part of the process of designing GI systems is recognizing and verifying the need for geospatial technology in carrying out geographic tasks. Adequate planning requires the support and involvement of potential users and decision makers. A thoughtful analysis of users, their tasks, and their needs will yield a plan that is easier to implement with better results. A more thorough treatment of related social and institutional issues is found in Knowledge Area GS GI S&T and Society and Knowledge Area OI Organizational and Institutional Aspects

      • Topic DA2-1 (0)
        • Create a charter or hypothesis that defines and justifies the mission of a GIS to solve existingProblems
        • Identify geographic tasks for which particular geospatial technologies are not adequate orSufficient
        • Identify what is typically needed to garner support among managers for designing and/or creating a GIS
        • Define an enterprise GIS in terms of institutional missions and goals
        • Recognize the challenges of implementing and using geospatial technologies
      • Topic DA2-2 (0)
        • Define Gantt and PERT charts
        • Identify the people necessary to effectively design a GIS
        • Collaborate effectively with a variety of people in a design team
        • Create a schedule for the design and implementation of a GIS
        • Justify the funding necessary for the design process of a GIS
        • Use project management tools and techniques to manage the design process
      • Topic DA2-3 (0)
        • Identify current and potential users of geospatial technology in an enterprise
        • Differentiate the concepts of efficiency and effectiveness in application requirements
        • Recognize geographic tasks and geographic information that already exist in an enterprise
        • Classify potential users as casual or professional, early adopters or reluctant users
        • Educate potential users on the value of geospatial technology
        • Evaluate the potential for using geospatial technology to improve the efficiency and/oreffectiveness of existing activities
        • Identify new geographic tasks or information that align with institutional missions and goals
      • Topic DA2-4 (0)
        • Describe the need for user-centered requirements analysis
        • Develop use cases for potential applications using established techniques with potential users, such as questionnaires, interviews, focus groups, the Delphi method, or and joint application development (JAD)
        • Document existing and potential tasks in terms of workflow and information flow
        • Create requirements reports for individual potential applications in terms of the data, procedures, and output needed
        • Assess the relative importance and immediacy of potential applications
        • Coalesce the needs of individual users and tasks into enterprise-wide needs
        • Differentiate between the responsibilities of the proposed system and those that remain with the user
        • Illustrate how a business process analysis can be used to identify requirements during a GISystem implementation
        • Describe how spatial data and GI S&T can be integrated into a work flow process
        • Evaluate how external spatial data sources can be incorporated into the business process
      • Topic DA2-5 (0)
        • Recognize the unique constraints or opportunities of the social or cultural context of a potentialApplication
        • Compare and contrast the needs, constraints, and opportunities of different types of institutions,such as corporations, non-profit organizations, government agencies, and educational institutions
    • Unit: DA3 Resource planning (0)

      In order to design, build, and maintain a GIS, sufficient resources (e.g., labor, capital, and time) must be secured. These resources are needed for a variety of elements of the system, including design, software purchase, labor, hardware, and facilities. The most crucial task is to determine whether the project is worthy of the required resources. The focus here is on the initial startup costs: budgeting for ongoing management, and the design of management infrastructure, is discussed in Unit OI2 Managing the GI system, which should also be mastered to complete this process successfully. Further consideration of economic issues is found in Knowledge Area GS GI S&T and Society, Unit GS2 Economic aspects. Data sources and characteristics are covered in Knowledge Area GD Geospatial Data

      • Topic DA3-1 (0)
        • List the costs and benefits (financial and intangible) of implementing geospatial technology for aparticular application or an entire institution
        • Compare and contrast the relative merits of outsourcing the feasibility analysis and system design processes or doing them in-house
        • Identify major obstacles to the success of a GIS proposal
        • Evaluate possible solutions to the major obstacles that stand in the way of a successful GISProposal
        • List some of the topics that should be addressed in such a justification of geospatial technology(e.g., ROI, workflow, knowledge sharing)
        • Decide whether geospatial technology should be used for a particular task
        • Perform a pilot study to evaluate the feasibility of an application
        • Justify feasibility recommendations to decision-makers
      • Topic DA3-2 (0)
        • Describe the major geospatial software architectures available currently, including desktop GIS,server-based, Internet, and component-based custom applications
        • Describe non-spatial software that can be used in geospatial applications, such as databases,Web services, and programming environments
        • Compare and contrast the primary sources of geospatial software, including major and minorcommercial vendors and open-source options
        • List the major functionality needed from off-the-shelf software based on a requirements report
        • Identify software options that meet functionality needs for a given task or enterprise
        • Evaluate software options that meet functionality needs for a given task or enterprise
      • Topic DA3-3 (0)
        • Identify potential sources of data (free or commercial) needed for a particular application orEnterprise
        • Estimate the cost to collect needed data from primary sources (e.g., remote sensing, GPS)
        • Judge the relative merits of obtaining free data, purchasing data, outsourcing data creation, orproducing and managing data in-house for a particular application or enterprise
      • Topic DA3-4 (0)
        • Identify the positions necessary to design and implement a GIS
        • Discuss the advantages and disadvantages of outsourcing elements of the implementation of a GI system, such as data entry
        • Evaluate the labor needed in past cases to build a new geospatial enterprise
        • Create a budget of expected labor costs, including salaries, benefits, training, and other expenses
      • Topic DA3-5 (0)
        • Identify the hardware and space that will be needed for a GIS implementation
        • Hypothesize the ways in which capital needs for GIS may change in the future
        • Compare and contrast the relative merits of housing GI systems within IT and MIS facilitiesversus keeping them separate
        • Collaborate effectively with various units in an institution to develop efficient hardware and space solutions
      • Topic DA3-6 (0)
        • Identify potential sources of funding (internal and external) for a project or enterprise GIS
        • Analyze previous attempts at funding to identify successful and unsuccessful techniques
        • Create proposals and presentations to secure funding
    • CUnit: DA4 Database design (12)

      The effective design of geospatial databases should follow the established methods and principles of database modeling and design developed in computer science. The basic method is a three-stepprocess, generally called the conceptual, logical, and physical models, transforming the application from very human-oriented to machine-oriented. Several standards and software tools exist to aid the process of database design. This unit relies heavily on the concepts developed in Knowledge Area CF Conceptual Foundations and the general-purpose data models developed in Knowledge Area DM Data Modeling

      • Topic DA4-1 (0)
        • Compare and contrast the relative merits of various textual and graphical tools for data modelling, including E-R diagrams, UML, and XML
        • Create conceptual, logical, and physical data models using automated software tools
        • Create E-R and UML diagrams of database designs
      • Topic DA4-2 (0)
        • Define entities and relationships as used in conceptual data models
        • Describe the degree to which attributes need to be modelled in the conceptual modelling phase
        • Explain the goals behind the conceptual modelling phase of design
        • Deconstruct an application use case into conceptual components
        • Create a conceptual model diagram of data needed in a geospatial application or enterpriseDatabase
        • Design application-specific conceptual models
      • Topic DA4-3 (0)
        • Differentiate between conceptual and logical models, in terms of the level of detail, constraints,and range of information included
        • Define the cardinality of relationships
        • Explain the various types of cardinality found in databases
        • Distinguish between the incidental and structural relationships found in a conceptual model
        • Determine which relationships need to be stored explicitly in the database
        • Evaluate the various general data models common in GI S&T for a given project, and select themost appropriate solutions
        • Create logical models based on conceptual models and general data models using UML or otherTools
      • Topic DA4-4 (0)
        • Differentiate between logical and physical models, in terms of the level of detail, constraints, andrange of information included
        • Recognize the constraints and opportunities of a particular choice of software for implementing a logical model
        • Create physical model diagrams, using UML or other tools, based on logical model diagrams andsoftware requirements
        • Create a complete design document ready for implementation
    • Unit: DA5 Analysis design (0)

      This unit addresses the design of GIS procedures and data to implement mathematical, geographical, statistical, and other analytical models. This process requires critical thinking and problem-solving skills for resolving unstructured tasks into analysis procedures. Successful analysis design also requires a working knowledge of many of the tools and techniques in Knowledge Area AM Analytical Methods and Knowledge Area GC Geocomputation

      • Topic DA5-1 (0)
        • Identify components in the conceptual model of a particular application that will require analytical modelling rather than data modelling
        • Identify relationships (e.g., topology) within a conceptual model that can be derived by analysisrather than being stored explicitly
        • Discuss the relevance of the scientific method to a particular system design problem
        • Deconstruct a scientific hypothesis to identify possible strategies for testing
      • Topic DA5-2 (0)
        • Identify the sequence of operations and statistical/mathematical methods (a procedure)appropriate for a particular application (e.g., multi-criteria evaluation for site suitability)
        • Critique the necessity of the operations used in a pre-defined procedure for a particularapplication (e.g., suitability analysis)
        • Develop a planned analytical procedure to solve a new unstructured problem (e.g., long-termbusiness strategy)
        • Implement a pre-defined procedure for a sample dataset
      • Topic DA5-3 (0)
        • Discuss the current state-of-the-art of the coupling of scientific models and simulations with GIS
        • Design a modeling procedure to integrate a spatial arrangement constraint for a mathematical optimization model
      • Topic DA5-4 (0)
        • Compare and contrast the relative merits of various tools and methods for procedure design,including flowcharting and pseudocode
        • Compare and contrast the relative merits of object-oriented and procedural designs for modelling tasks
        • Select the appropriate environment (e.g., GIS software, software development environment) forimplementing an analytical procedure
    • Unit: DA6 Application design (0)

      This unit addresses the development of customized software for using geospatial technologies ingeographic tasks. It also considers types of procedures: structured vs. unstructured, routine vs. unique; various approaches to implementing applications, including standard workflows and customized software; and making the design appropriate to the expected user. It includes procedural and object-oriented approaches to software development, as well. Successful mastery of this unit will require mastery of core portions of the Computer Science body of knowledge (ACM/IEEE-CS Joint Task Force, 2001) especially high-level programming

      • Topic DA6-1 (0)
        • Compare and contrast various methods for modeling workflows, including narratives, flowcharts,and UML
        • Differentiate between structured and unstructured tasks
        • Discuss the degree to which structured and unstructured tasks can be automated
        • Compare and contrast the relative merits of various software design methods, including traditional procedural designs, object-oriented design, the Rational Unified Process, Extreme Programming, and the Unified Software Development Process
        • Transform traditional workflows into computer-assisted workflows leveraging geospatialtechnologies to an appropriate degree
      • Topic DA6-2 (0)
        • Design an application-level software/user interface based on user requirements
        • Create user interface components in available development environments
      • Topic DA6-3 (0)
        • Compare and contrast the relative merits of available environments for geospatial applications,including desktop software scripting (e.g., VBA), graphical modeling tools, geospatial componentsin standard environments, and “from-scratch” development in standard environments
        • Develop a geospatial application using the most appropriate environment
      • Topic DA6-4 (0)
        • Use CASE tools to design geospatial software
        • Evaluate available CASE tools for their appropriateness for a given development task
    • Unit: DA7 System implementation (0)

      Once a design is created, it is time to actually create the system. This phase generally requires themajority of the resources of the entire project, so it is crucial that it be done well. This unit leads directly into Unit OI2 Managing the GI system operations and infrastructure, which covers the permanent maintenance of a system. Workforce development is also an important part of system implementation, but is discussed in Unit OI4 GI S&T workforce themes

      • Topic DA7-1 (0)
        • Discuss the importance of planning for implementation as opposed to “winging it”
        • Create a schedule for the implementation of a geospatial system based on a complete design
        • Create a budget for the resources needed to implement the system
        • Discuss pros and cons of different implementation strategies (e.g., spiral development versuswaterfall development) given the needs of a particular system
      • Topic DA7-2 (0)
        • Explain the rationale for piloting and prototyping new systems
        • Plan a formal quality assurance procedure
        • Construct an effective database structure in a selected GIS or database software based on the physical model
        • Acquire data from primary and secondary sources
        • Transfer data from primary and secondary sources into the database
        • Create customized programs and scripts based on an application design
      • Topic DA7-3 (0)
        • Describe the goals of alpha and beta testing
        • Implement established testing procedures on prototype systems
        • Use testing results to prepare a system for deployment
        • Conduct a quality assurance review
      • Topic DA7-4 (0)
        • Develop a phasing schedule for deployment of an enterprise-wide system
        • Integrate geospatial applications with other enterprise information systems
  • Knowledge Area: DM Data Modeling (12)

    This knowledge area deals with representation of formalized spatial and spatio-temporal reality through data models and the translation of these data models into data structures that are capable of being implemented within a computational environment (i.e., within a GIS). Data models provide the means for formalizing the spatio-temporal conceptualizations that will be translated into computational data structures. Examples of spatial data model types are discrete (object–based), continuous (location– based), dynamic, and probabilistic. Database management systems and their application to geospatial data are included within this knowledge area. Data structures represent the operational implementation of data models within a computational environment. Mastery of the objectives presented in this knowledge area require knowledge and skills presented in the bodies of knowledge of allied fields, including Computer Science (ACM/IEEE-CS Joint Task Force, 2001) and Information Systems (Gorgone & Gray, 2000; Gorgone & others, 2002). The topics presented here are based on concepts covered in Knowledge Area CF Conceptual Foundations

    • Unit: DM1 Basic storage and retrieval structures (0)

      This unit deals with mechanisms built into data structures to facilitate search and retrieval of geospatial data. These are generic principles and would often be a review, in a spatial context, of material learned in a basic computer science course

      • Topic DM1-1 (0)
        • Define basic data structure terminology (e.g., records, field, parent/child, nodes, pointers)
        • Differentiate among data models, data structures, and file structures
        • Discuss the advantages and disadvantages of different data structures (e.g., arrays, linked lists, binary trees) for storing geospatial data
        • Analyze the relative storage efficiency of each of the basic data structures
        • Implement algorithms that store geospatial data to a range of data structures
      • Topic DM1-2 (0)
        • Compare and contrast direct and indirect access search and retrieval methods
        • Discuss the advantages and disadvantages of different data structures (e.g., arrays, linked lists, binary trees, hash tables, indexes) for retrieving geospatial data
        • Analyze the relative performance of data retrieval strategies
        • Implement algorithms that retrieve geospatial data from a range of data structures
        • Describe the particular advantages of Morton addressing relative to geographic dataRepresentation
    • CUnit: DM2 Database management systems (4)

      This unit is considers the use of database management systems (DBMS) in a geographic context, inparticular, and evolution of modern database design technologies to better handle geographic data in its various forms. The form of structured query language (SQL) and its use in querying databases is covered in Unit AM2 Query operations and query languages. The design of databases specific to a particular application is discussed in Unit DA4 Database Design. These concepts are also considered in the body of knowledge of the allied field of Computer Science (ACM/IEEE 2001)

      • Topic DM2-1 (0)
        • Demonstrate how DBMS are currently used in conjunction with GIS
        • Explain why some of the older DBMS are now of limited use within GIS
        • Diagram Hierarchical DBMS architecture
        • Diagram network DBMS architecture
        • Differentiate among network, hierarchical and relational database structures, and their uses and limitations for geographic data storage and processing
        • Describe the geo-relational model (or dual architecture) approach to GIS DBMS
      • Topic DM2-2 (0)
        • Explain the advantage of the relational model over earlier database structures includingSpreadsheets
        • Demonstrate how search and relational join operations provide results for a typical GIS query and other simple operations using the relational DBMS within a GIS software application
        • Define the basic terms used in relational database management systems (e.g., tuple, relation,foreign key, SQL, relational join)
        • Discuss the efficiency and costs of normalization
        • Describe the entity-relationship diagram approach to data modelling
        • Explain how entity-relationship diagrams are translated into relational tables
        • Describe the problems associated with failure to follow the first and second normal forms(including data confusion, redundancy, and retrieval difficulties)
        • Create an SQL query that extracts data from related tables
      • Topic DM2-3 (0)
        • Describe the basic elements of the object-oriented paradigm, such as inheritance, encapsulation,methods, and composition
        • Differentiate between object-oriented programming and object-oriented databases
        • Evaluate the degree to which the object oriented paradigm does or does not approximatecognitive structures
        • Explain how the principle of inheritance can be implemented using an object-orientedprogramming approach
        • Defend or refute the notion that the Extensible Markup Language (XML) is a form of objectoriented database
        • Explain how the properties of object orientation allows for combining and generalizing objects
        • Evaluate the advantages and disadvantages of object-oriented databases compared to relationaldatabases, focusing on representational power, data entry, storage efficiency, and queryperformance
        • Implement a GIS database design in an off-the-shelf object-oriented database
      • Topic DM2-4 (0)
        • Explain why early attempts to store geographic data in standard relational tables failed
        • Describe extensions of the relational model designed to represent geospatial and other semistructured data, such as stored procedures, Binary Large Objects (BLOBs), nested tables,abstract data types, and spatial data types
        • Describe standards efforts relating to relational extensions, such as SQL:1999 and SQL-MM
        • Evaluate the degree to which an available object-relational database management systemapproximates a true object-oriented paradigm
        • Evaluate the adequacy of contemporary proprietary database schemes to manage geospatialData
    • CUnit: DM3 Tessellation data models (4)

      “Tessellation” partitions a continuous surface into a set of non-overlapping polygons that cover thesurface without gaps. Tessellation data models represent continuous surfaces with sets of data values that correspond to partitions. The theoretical foundations for a field-centered view of geographic information are covered in Knowledge Area CF Conceptual Foundations. Tessellated georeferencing systems are considered in Knowledge Area GD Geospatial Data, Unit GD3. Analytical methods for surfaces and other tessellations are considered in Knowledge Area AM Analytical Methods

      • Topic DM3-1 (0)
        • Explain how grid representations embody the field-based view
        • Differentiate among a lattice, a tessellation, and a grid
        • Explain how terrain elevation can be represented by a regular tessellation and by an irregularTessellation
        • Identify the national framework datasets based on a grid model
      • Topic DM3-2 (0)
        • Define basic terms used in the raster data model (e.g., cell, row, column, value)
        • Explain how the raster data model instantiates a grid representation
        • Interpret the header of a standard raster data file
        • Compare and contrast the raster with other types of regular tessellations for geographic dataStorage
        • Compare and contrast the raster with other types of regular tessellations for geographic dataAnalysis
        • Write a program to read and write a raster data file
      • Topic DM3-3 (0)
        • Illustrate the existing methods for compressing gridded data (e.g., run length encoding, Lempel-Ziv, wavelets)
        • Differentiate between lossy and lossless compression methods
        • Evaluate the relative merits of grid compression methods for storage
        • Explain the advantage of wavelet compression
      • Topic DM3-4 (0)
        • Illustrate the hexagonal model
        • Exemplify the uses (past and potential) of the hexagonal model
        • Explain the limitations of the grid model compared to the hexagonal model
      • Topic DM3-5 (0)
        • Describe the architecture of the TIN model
        • Demonstrate the use of the TIN model for different statistical surfaces (e.g., terrain elevation, population density, disease incidence) in a GIS software application
        • Describe how to generate a unique TIN solution using Delaunay triangulation
        • Construct a TIN manually from a set of spot elevations
        • Delineate a set of break lines that improve the accuracy of a TIN
        • Describe the conditions under which a TIN might be more practical than GRID
      • Topic DM3-6 (0)
        • Relate the concept of grid cell resolution to the more general concept of “support” and granularity
        • Illustrate the impact of grid cell resolution on the information that can be portrayed
        • Evaluate the implications of changing grid cell resolution on the results of analytical applications by using GIS software
        • Evaluate the ease of measuring resolution in different types of tessellations
      • Topic DM3-7 (0)
        • Illustrate the quadtree model
        • Describe the advantages and disadvantages of the quadtree model for geographic databaserepresentation and modelling
        • Describe alternatives to quadtrees for representing hierarchical tessellations (e.g., hextrees, rtrees, pyramids)
        • Explain how quadtrees and other hierarchical tessellations can be used to index large volumes of raster or vector data
        • Implement a format for encoding quadtrees in a data file
    • CUnit: DM4 Vector and object data models (4)

      Vector data models represent discrete entities by delineating points, lines, boundaries, and nodes as sets of coordinate values with associated attributes. This unit also examines recent methods and strategies for representing information in a more human-centered and natural way that goes beyond traditional vector models for representing an object-based view. Linear referencing systems are considered in Unit GD3 Georeferencing systems, and analytical methods for vector data are considered in Knowledge Area AM Analytical Methods. The theoretical foundations for an object-centered view of geographic information are covered in Knowledge Area CF Conceptual Foundations. Topics in this unit are also considered in the body of knowledge of the allied field of Computer Science (ACM/IEEE-CS Joint Task Force, 2001)

      • Topic DM4-1 (0)
        • Identify the three fundamental dimensionalities used to represent points, lines, and areas
        • Describe the data models used to encode coordinates as points, lines, or polygons
        • Critique the assumptions that are made in representing the world as points, lines, and polygons
        • Evaluate the correspondence between geographic phenomena and the shapes used to represent them
      • Topic DM4-2 (0)
        • Identify a widely-used example of the spaghetti model (e.g., AutoCAD DWF, ESRI shapefile)
        • Describe how geometric primitives are implemented in the spaghetti model as independentobjects without topology
        • Explain how the spaghetti data model embodies an object-based view of the world
        • Explain the conditions under which the spaghetti model is useful
        • Write a program to read and write a vector data file using a common published format
      • Topic DM4-3 (0)
        • Define terms related to topology (e.g., adjacency, connectivity, overlap, intersect, logicalconsistency)
        • Illustrate a topological relation
        • Explain the advantages and disadvantages of topological data models
        • Demonstrate how a topological structure can be represented in a relational database structure
        • Exemplify the concept of planar enforcement (e.g., TIN triangles)
        • Discuss the role of graph theory in topological structures
        • Describe the integrity constraints of integrated topological models (e.g., POLYVRT)
        • Discuss the historical roots of the Census Bureau’s creation of GBF/DIME as the foundation forthe development of topological data structures
        • Explain why integrated topological models have lost favor in commercial GIS software, andevaluate the positive and negative impacts of this shift
      • Topic DM4-4 (0)
        • Illustrate the GBF/DIME data model
        • Explain what makes POLYVRT a hierarchical vector data model
        • Discuss the advantages and disadvantages of POLYVRT
        • Describe the relationship between the GBF/DIME and TIGER structures, the rationale for their design, and their intended primary uses, paying particular attention to the role of graph theory in establishing the difference between GBF/DIME and TIGER files
        • Describe a Freeman-Huffman chain code
        • Describe the relationship of Freeman-Huffman chain codes to the raster model
        • Discuss the impact of early prototype data models (e.g., POLYVRT and GBF/DIME) oncontemporary vector formats
      • Topic DM4-5 (0)
        • Define the following terms pertaining to a network: Loops, multiple edges, the degree of a vertex, walk, trail, path, cycle, fundamental cycle
        • Demonstrate how a network is a connected set of edges and vertices
        • List definitions of networks that apply to specific applications or industries
        • Create an adjacency table from a sample network
        • Explain how a graph can be written as an adjacency matrix and how this can be used to calculatetopological shortest paths in the graph
        • Create an incidence matrix from a sample network
        • Explain how a graph (network) may be directed or undirected
        • Demonstrate how attributes of networks can be used to represent cost, time, distance, or manyother measures
        • Demonstrate how the star (or forward star) data structure, which is often employed when digitally storing network information, violates relational normal form, but allows for much faster search and retrieval in network databases
        • Discuss some of the difficulties of applying the standard process-pattern concept to lines andNetworks
      • Topic DM4-6 (0)
        • Construct a data structure to contain point or linear geometry for database record events that are referenced by their position along a linear feature
        • Demonstrate how linear referenced locations are often much more intuitive and easy to find in the real world than geographic coordinates
        • Explain how linear referencing allows attributes to be displayed and analyzed that do notcorrespond precisely with the underlying segmentation of the network features
        • Discuss dynamic segmentation as a process for transforming between linear and planarcoordinate systems
        • Describe how linear referencing can eliminate unnecessary segmentation of the underlyingnetwork features due to attribute value changes over time
      • Topic DM 4-7 (0)
        • Discuss the merits of storing geometric data in the same location as attribute data
        • Evaluate the advantages and disadvantages of the object–based data model compared to thelayer-based vector data model (topological or spaghetti)
        • Describe the architectures of various object-relational spatial data models, including spatialextensions of DBMS, proprietary object-based data models from GIS vendors, and open-sourceand standards-based efforts
        • Discuss the degree to which various object-relational spatial data models approximate a trueobject-oriented paradigm, and whether they should
        • Differentiate between the topological vector data model and spaghetti object data with topological rulebases
        • Write a script (in a GIS, database, or Web environment) to read and write data in an object-based spatial database
        • Transfer geospatial data from an XML schema to a database
    • Unit: DM5 Modeling 3D, temporal, and uncertain phenomena (0)

      Traditional raster and vector data models cannot easily represent the more complex aspects ofgeographic information, such as temporal change, uncertainty, three-dimensional phenomena, andintegrated multimedia. A variety of models have been proposed to represent these complexities, including both extensions to existing models and software, and entirely new models and software. During the 1990s, work in this area was largely experimental, but many solutions are now available to practitioners in commercial and open source software. The data models in this unit are based on concepts discussed in Knowledge Area CF Conceptual Foundations

      • Topic DM5-1 (0)
        • Describe extensions to relational DBMS to represent temporal change in attributes
        • Describe SQL extensions for querying temporal change
        • Differentiate the two types of temporal information to be modeled in databases: database (or transaction) time, and valid (or world) time
        • Identify whether it is important to represent temporal change in a particular GIS application
        • Describe the architecture of data models (both field and object based) to represent spatiotemporal phenomena
        • Evaluate the advantages and disadvantages of existing space-time models based on storageefficiency, query performance, ease of data entry, and ability to implement in existing softwareCreate a GIS database that models temporal information
        • Utilize two different space-time models to characterize a given scenario, such as a daily commute
      • Topic DM5-2 (0)
        • Describe extensions to relational DBMS to represent different types of uncertainty in attributes,including both vagueness/fuzziness and error-based uncertainty
        • Describe SQL extensions for querying uncertainty information in databases
        • Differentiate among modeling uncertainty for entire datasets, for features, and for individual data values
        • Identify whether it is important to represent uncertainty in a particular GIS application
        • Discuss the role of metadata in representing and communicating dataset-level uncertainty
        • Describe the architecture of data models (both field and object based) to represent feature-leveland datum-level uncertainty
        • Evaluate the advantages and disadvantages of existing uncertainty models based on storageefficiency, query performance, ease of data entry, and ability to implement in existing softwareCreate a GIS database that models uncertain information
      • Topic DM5-3 (0)
        • Identify GIS application domains in which true 3D models of natural phenomena are necessary
        • Differentiate between 2.5D representations and true 3D models
        • Explain how voxels and stack-unit maps that show the topography of a series of geologic layers might be considered 3D extensions of field and vector representations respectively
        • Explain the difficulties in creating true 3D objects in a vector or raster format
        • Explain the use of multi-patching to represent 3D objects
        • Explain how 3D models can be extended to additional dimensions
        • Illustrate the use of Virtual Reality Modeling Language (VRML) to model landscapes in 3D
        • Explain how octatrees are the 3D extension of quadtrees
  • Knowledge Area: DN Data Manipulation (12)

    GIS is a cyclical rather than a linear system such as computer aided drafting (CAD) and ComputerAssisted Cartographic Systems. Changes in projection, grid systems, data forms, and formats take place during the modeling process for which GIS was designed. Many non-analytical manipulations are necessary to accommodate the analytical power of the GIS. The manipulations of spatial and spatio– temporal data involve three general classes of operation:1. Their transformation into formats that facilitate subsequent analysis,2. Generalization and aggregation that affect the accuracy and integrity of the data used foranalysis, and3. Transaction management that allows for the tracking of changes, versioning, and updatingwithout loss of the original data.Practitioners frequently need to make decisions on when and how to engage in data manipulation. The ability to switch between raster and vector systems without substantial information loss is necessary for effective spatial analysis. Furthermore, knowledge of how particular data types respond to changes in format, organization, scale, resolution, and quality is often paramount to the ability to perform modeling and spatial analysis. During data manipulation operations, it is extremely important to know how to handle error propagation, as discussed in Knowledge Area GC Geocomputation Unit GC8 Uncertainty

    • CUnit: DN1 Representation transformation (6)

      Other knowledge areas have identified different forms of data structures, data models, projections, and other forms of geospatial data representation. These differences present both opportunities and challenges for analysis and modeling. The ability to transform one representation to another, in a manner that maintains the integrity of the information as much as possible, can enhance the analysis and visualization of geospatial data. The raster and vector data models are described in Units DM3 Tesselation data models and DM4 Vector and object data models. The principles of coordinate systems, datums, and projections are also considered in Knowledge Area GD Geospatial Data

      • Topic DN1-1 (0)
        • Compare and contrast the impacts of different conversion approaches, including the effect onspatial components
        • Prioritize a set of algorithms designed to perform transformations based on the need to maintaindata integrity [e.g., converting a digital elevation model (DEM) into a TIN]
        • Create a flowchart showing the sequence of transformations on a data set (e.g., geometric andradiometric correction and mosaicking of remotely sensed data)
      • Topic DN1-2 (0)
        • Identify the conceptual and practical difficulties associated with data model and format conversion
        • Describe a workflow for converting a implementing a data model in a GIS involving an Entity-Relationship (E-R) diagram and the Universal Modeling Language (UML)
        • Discuss the role of metadata in facilitating conversation of data models and data structuresbetween systems
        • Convert a data set from the native format of one GIS product to another
      • Topic DN1-3 (0)
        • Differentiate among common interpolation techniques (e.g., nearest neighbor, bilinear, bicubic)
        • Explain how the elevation values in a digital elevation model (DEM) are derived by interpolation from irregular arrays of spot elevations
        • Discuss the pitfalls of using secondary data that has been generated using interpolations (e.g., Level 1 USGS DEMs)
        • Estimate a value between two known values using linear interpolation (e.g., spot elevations,population between census years)
      • Topic DN1-4 (0)
        • Explain how the vector/raster/vector conversion process of graphic images and algorithms takesplace and how the results are achieved
        • Convert vector data to raster format and back using GIS software
        • Illustrate the impact of vector/raster/vector conversions on the quality of a dataset
        • Create estimated tessellated data sets from point samples or isolines using interpolationoperations that are appropriate to the specific situation
      • Topic DN1-5 (0)
        • Discuss the consequences of increasing and decreasing resolution
        • Evaluate methods used by contemporary GIS software to resample raster data on-the-fly during display
        • Select appropriate interpolation techniques to resample particular types of values in raster data (e.g., nominal using nearest neighbor)
        • Resample multiple raster data sets to a single resolution to enable overlay
        • Resample raster data sets (e.g., terrain, satellite imagery) to a resolution appropriate for a map of a particular scale
      • Topic DN1-6 (0)
        • Cite appropriate applications of several coordinate transformation techniques (e.g., affine,similarity, Molodenski, Helmert)
        • Differentiate between polynomial coordinate transformations (including linear) and rubbersheeting
        • Describe the impact of map projection transformation on raster and vector data
    • CUnit: DN2 Generalization and aggregation (6)

      All geospatial data are generalized. Even the most detailed data represent only subsets of reality.Furthermore, data are further generalized for purposes of mapping, visualization, and efficient storage. A variety of generalization techniques have been developed to facilitate this process. All are scale dependent. Aggregation is one form of generalization that transforms large numbers of individual objects into summarized groups. This unit is concerned with the nature of these procedures and their implications for professional practice. Generalization is an important part of cartography (and is therefore discussed conceptually in Unit CV2 Data considerations), but is also a transformation common to many GIS procedures

      • Topic DN2-1 (0)
        • Differentiate among the concepts of scale (as in map scale), support, scope, and resolution
        • Determine the mathematical relationships among scale, scope, and resolution, including Töpfer’s Radical Law
        • Defend or refute the statement “GIS data are scaleless”
        • Discuss the implications of tradeoff between data detail and data volume
        • Select a level of data detail and accuracy appropriate for a particular application (e.g., viewshed analysis, continental land cover change)
      • Topic DN2-2 (0)
        • Describe the basic forms of generalization used in applications in addition to cartography (e.g.,selection, simplification)
        • Discuss the possible effects of generalizing data sets on topological integrity
        • Explain why areal generalization is more difficult than line simplification
        • Explain the logic of the Douglas-Poiker line simplification algorithm
        • Explain the pitfalls of using data generalized for small scale display in a large scale application
        • Design an experiment that allows one to evaluate the effect of traditional approaches ofcartographic generalization on the quality of digital data sets created from analog originals
        • Evaluate various line simplification algorithms by their usefulness in different applications
      • Topic DN2-3 (0)
        • Identify a variety of likely measurement level transformations (e.g., the classification of ratio datayields ordinal data)
        • Discuss the relationship of attribute measurement levels to database query operations
        • Describe the pitfalls, in terms of information loss and analytical options, of transforming attributemeasurement levels
        • Reclassify (group) a nominal attribute domain to fewer, broader classes
      • Topic DN2-4 (0)
        • Discuss the conditions that require individual spatial entities to be aggregated (e.g., privacy,security, proprietary interests, data simplification)
        • Demonstrate the relationship between district size (resolution/support) and patterns in aggregate data
        • Summarize the attributes of individuals within regions using spatial joins
        • Demonstrate how changing the geometry of regions changes the data values (e.g., votingpatterns before and after redistricting)
        • Discuss the potential pitfalls of using regions to aggregate geographic information (e.g., censusdata)
        • Explain the nature and causes of the Modifiable Areal Unit Problem (MAUP)
        • Attempt to design aggregation regions that overcome the Modifiable Areal Unit Problem (MAUP)
    • Unit: DN3 Transaction management of geospatial data (0)

      In many circumstances, such as with data pertaining to land records, both spatial entities and theirattribute data undergo frequent and often profound changes. Complete cataloging of these changesrequires that the initial conditions, the new conditions, and any intermediate changes and methods of change be explicitly cataloged. In short, the geospatial database needs to contain an archival history of change. The updating of geospatial databases is discussed in Unit OI Managing the GI system operations and infrastructure, in the context of overall GIS management

      • Topic DN3-1 (0)
        • Demonstrate the importance of a clean, relatively error free database (together with anappropriate geodetic framework) with the use of GIS software
        • Modify spatial and attribute data while ensuring consistency within the database
        • Discuss the implication of “long transactions” on database integrity
        • Exemplify scenarios in which one would need to perform a number of periodic changes in a realGIS database
        • Explain how one would establish the criteria for monitoring the periodic changes in a real GISDatabase
      • Topic DN3-2 (0)
        • Define a set of rules for modeling changes in spatial databases
        • Describe techniques for handling version control in spatial databases
        • Describe techniques for managing long transactions in a multi-user environment
        • Explain why logging and rollback techniques are adequate for managing “short transactions”
      • Topic DN3-3 (0)
        • Design a test of reliability of change information (e.g., the logical consistency of updates to theTIGER database)
        • Implement a test of reliability of change information
      • Topic DN3-4 (0)
        • Describe an application in which it is crucial to maintain previous versions of the database
        • Produce viable queries for change scenarios using GIS or database management tools
        • Describe existing algorithms designed for performing dynamic queries
        • Demonstrate how both the time criticality and the data security might determine whether one performs change detection on-line or off-line in a given scenario
        • Exemplify how the lack of a data librarian to manage data can have disastrous consequences on the resulting dataset
  • Knowledge Area: GC Geocomputation (12)

    The knowledge area emphasizes the research, development and application of computationally intensive approaches to the study of complex spatial-temporal problems. It is motivated by the fact that some geographical systems can be difficult to model or analyze well when relying on more traditional statistical approaches—due to a combination of data complexity, invalid assumptions and computational demands. Geocomputational methods are often drawn from machine learning and simulation research, and include a variety of methods designed to simulate, model, analyze and visualize a range of highly complex, often non-deterministic, non-linear problems. This variety of methods include, but are not limited to, cellular automata, neural networks, agent based models, genetic algorithms and fuzzy sets. The boundary between Knowledge Areas AM Analytical Methods and GC Geocomputation is blurred as a consequence of their shared goals. As methods evolve within geocomputation, computer science, and GI S&T, units and topics included in Knowledge Area GC Geocomputation today may be more aptly included in Knowledge Area AM Analytical Methods in the future. It should be emphasized that there is no order in the presentation of units nor implied groupings of methods as the development of this knowledge area has received input from many individuals over the past seven years. While much of the content may best be studied within graduate level programs, an awareness of these topics may be included in other levels of GI S&T programs. Mastery of the objectives presented in this knowledge area require knowledge and skills presented in the Computer Science body of knowledge (ACM/IEEE-CS Joint Task Force, 2001)

    • Unit: GC1 Emergence of geocomputation (0)

      Unit GC1 Emergence of geocomputation Techniques that are the focus of this knowledge area tend to be computationally intensive and have become feasible for study with the advent of modern computing capabilities and sophisticated machine learning methods. Continuing advances and trends in this area may provide new avenues for GI S&T

      • Topic GC1-1 (0)
        • Discuss Openshaw’s contributions in the development of this sub-discipline
        • Summarize the development of geocomputation techniques and algorithms and the relatedadvances in computer technology/architecture that have aided in the ability to carry out morecomplex processes in GI S&T
        • Summarize the role of GeoComputation conference series in shaping this sub-discipline(http://www.geocomputation.org/)
      • Topic GC1-2 (0)
        • Describe GI S&T topics that may be addressed by new geocomputation techniques
        • Identify topics and techniques that may be addressed as computer capabilities increase
    • Unit: GC2 Computational aspects and neurocomputing (0)

      Taking advantage of parallel processing, super computers, and other high performance devices,geospatial analysis can be brought to a new level of insight, detail, and diversity. Neural net techniques and analysis takes advantage of intensive computation and is especially well suited for complex geospatial classification problems (e.g., those associated with highly multivariate remote sensing imagery, for prediction problems, or downscaling of climate models or evacuation plans for cities, running as agent-based simulations of individuals). Many of the basic analysis tools used in these models are also considered in Knowledge Area AM Analytical Methods

      • Topic GC2-1 (0)
        • Describe how the power increase in desktop computing has expanded the analytic methods thatcan be used for GI S&T
        • Exemplify how the power increase in desktop computing has expanded the analytic methods that can be used for GI S&T
      • Topic GC2-2 (0)
        • Describe computational intelligence methods that may apply to GI S&T
        • Describe a hypothesis space that includes searches for optimality of solutions within that space
        • Exemplify the potential for machine learning to expand performance of specialized geospatial analysis functions
        • Identify artificial intelligence tools that may be useful for GI S&T
      • Topic GC2-3 (0)
        • Define non-linear and non-Gaussian distributions in a geospatial data environment
        • Exemplify non-linear and non-Gaussian distributions in a geospatial data environment
        • Understand how some machine learning methods might be more adept at modelling orrepresenting such distributions
      • Topic GC2-4 (0)
        • Describe the use of pattern recognition based on temporal relationships of objects and space(Crime or disease analyses are examples)
      • Topic GC2-5 (0)
        • Compare and contrast the assumptions and performance of parametric and non-parametricapproaches to multivariate data classification
        • Compare and contrast the results of the neural approach to those obtained using more traditional
        • Gaussian maximum likelihood classification (available in most remote sensing systems)
        • Describe three algorithms that are commonly used to conduct geospatial data classification
        • Explain the effect of including geospatial contiguity as an explicit neighborhood classificationCriterion
      • Topic GC2-6 (0)
        • Analyze the stability of the network using multiple runs with the same training data andArchitecture
        • Describe the architecture and components of a feed-forward neural network
        • Differentiate between feed-forward and recurrent architectures
        • Compare and contrast classification results when the architecture of the network and initialparameters are changed
      • Topic GC2-7 (0)
        • Describe how space-scale algorithms can, or should, be used
      • Topic GC2-8 (0)
        • Describe how a neural network may use training rules to learn from input data
      • Topic GC2-9 (0)
        • Appraise the relative value of neural networks or alternative inductive machine learning methods, such as decision trees or genetic classifiers, in a hypothetical or real case
        • Evaluate the success of neural network schemes
        • Implement a neural network classification scheme for a complex data set
    • Unit: GC3 Cellular Automata (CA) models (0)

      Cellular automata are computational models in a cell based space that employ simple context-sensitive state-transition rules applied to cells across the domain, resulting in potentially complex patterns and behaviors of cell states

      • Topic GC3-1 (0)
        • Analyze the advantages and limitations of CA geospatial representations
        • Describe how CA might represent a geographical region
        • Explain how the use of CA to represent a geographical region relates to how places in a regionare interconnected
      • Topic GC3-2 (0)
        • Describe classic CA transition rules
        • Describe how local and global transitional rules are handled in CA
        • Describe how the rules of the Game of Life typically result in a continuously evolving pattern
        • Explain two geographical processes that could be effectively represented using CA
        • Explain two geographical processes that could not be effectively represented using CA
      • Topic GC3-3 (0)
        • Describe the challenges of calibrating CA models
        • Describe error sources of CA models
        • Explain how temporal concepts are implemented in CA models
      • Topic GC3-4 (0)
        • Appraise the possible improvement of integrating GeoAlgebra, Graph-Based Cellular Automata,or agent-based models to overcome the fixed-grid limitations of CA models
        • Compare and contrast the analysis of a process using a CA with the analysis of the sameprocess in a GIS using map algebra and similar raster operations
        • Explain the potential contribution of integrating data mining into CA models
      • Topic GC3-5 (0)
        • Exemplify CA simulations of urban growth
        • Exemplify CA simulations of wild fire
        • Exemplify CA simulations of real estate development
    • Unit: GC4 Heuristics (0)

      Among the recent artificial intelligence techniques are those pertaining to heuristics. The five topics introduced in this unit, and the genetic algorithms unit which follows, are especially important and powerful heuristic methods. Evolution of natural life is very much a trial and error process. Adaptation and ‘survival of the fittest’ are central to this area of concern. The algorithms that mimic evolution have now been applied to geospatial phenomena such as the location of optimal habitat sites. Skills in computer programming are needed to effectively carry out the process

      • Topic GC4-1 (0)
        • Demonstrate how to implement a greedy heuristic process
        • Identify problems for which the greedy heuristic also produces the optimal solution (e.g., Kruksal’s algorithm for minimum spanning tree, the fractional Knapsack problem)
      • Topic GC4-2 (0)
        • Define alternatives to the Tietz and Bart heuristic
        • Describe the process whereby an element within a random solution is exchanged, and if itimproves the solution, it is accepted, and if not, it is rejected and another element is tried until no improvement occurs in the objective function value
        • Outline the Tietz and Bart interchange heuristic
      • Topic GC4-3 (0)
        • Explain how the process to break out local optima can be based on a probability function
        • Outline the TABU heuristic
      • Topic GC4-4 (0)
        • Outline the rationale for and usefulness of simulated annealing
      • Topic GC4-5 (0)
        • Describe how Lagrangian relaxation can provide approximate solutions to complex problems
    • Unit: GC5 Genetic algorithms (GA) (0)

      Evolution of natural life is very much a trial and error process. Adaptation and ‘survival of the fittest’ are central to this area of concern. Genetic algorithms (GA) mimic evolution and have been applied to diverse geospatial problems such as the location of facilities on networks or the selection of optimal habitat sites on raster domains. A genetic algorithm harnesses evolutionary power by representing an optimization problem as a population of strings of parameters; initializing the first generation of strings with valid but otherwise random values; evaluating the fitness of each string according to an objective function; creating child strings by selecting parent strings according to their relative fitness, applying crossover and (rare) mutations to parent strings to create child string(s); and repeating the process for subsequent generations. Included in this unit are: Global search methods, cross breeding, mutations, competition and selection. Also included are ways to create rules for representing evolutionary processes and encoding agent based models

      • Topic GC5-1 (0)
        • Describe the difficulty of finding globally optimal solutions for problems with many local optima
        • Compare and contrast the effectiveness of multiple search criteria for finding the optimal solution with a simple greedy hill climbing approach
        • Explain the important advantage that GA methods may offer to find diverse near-optimal solutions
        • Explain how a GA searches for solutions by using selection proportional to fitness, crossover, and (very low levels of) mutation to fitness criteria and crossover mutation to search for a globally optimal solution to a problem
        • Explain how evolutionary algorithms may be used to search for solutions
      • Topic GC5-2 (0)
        • Create an artificial genome that can be used in a genetic algorithm to solve a specific problem
        • Explain how you would describe a potential solution for a problem in a way that could berepresented in a chromosome and evaluated according to some measure of fitness (such as thetotal distance everyone travels to the facility or the diversity of plants and animals that would beprotected) genome
        • Explain how you would describe a cluster in a way that could be represented in a genome
        • Explain how and why the representation of a GA’s chromosome strings can enhance or hinder the effectiveness of the GA (See Goldberg (1989) for a clear discussion of GA principles)
        • Use one of the many freely-available GA packages to apply a GA to Implement a simple genetic algorithm to a simple problem such as optimizing the location of one or more facilities oroptimizing the selection of habitat for a nature preserve geospatial pattern optimization (such asfor finding clusters of disease points)
    • Unit: GC6 Agent-based models (0)

      Many geographic patterns and dynamics are formed by systems of interacting actors that haveheterogeneous characteristics and/or behaviors and interact with a heterogeneous environment. Agentbased models are constructed with object-oriented programming to represent these actors, their environments, and their interactions with one another and with their environments. These models can be used as laboratories for exploring social and geospatial patterns and processes

      • Topic GC6-1 (0)
        • Compare and contrast agent-based models and cellular automata as approaches for modelingspatial processes
        • Describe how agent-based models use object-oriented programming constructs of inheritanceand encapsulation to represent the behavior of heterogeneous and interactive and adaptiveactors
      • Topic GC6-2 (0)
        • Describe how multiple, different types of agents in a given system behave and interact with eachother and their environment
        • Describe how multiple parameters (e.g., number of agents, variability of agents, random numberseeds for different series of random events or choices during each simulation, etc.) can be setwithin an agent-based model to change the model behaviour
        • Explain how agent behaviors can be used to represent the effects actors have on each other andon their environment
        • Generate multiple, different types of agents in a given system
      • Topic GC6-3 (0)
        • Describe different approaches to represent the effects of agent adaptation in the context of aspecific agent-based model
        • Explain the effects of agent adaptation in the context of a specific agent-based model
      • Topic GC6-4 (0)
        • Describe a "bottom-up" simulation from an activity-perspective with changes in the locationsand/or activities the individual person (and/or vehicle) in space and time, in the activity patternsand space-time trajectories created by these activity patterns, and in the consequent emergentphenomena, such as traffic jams and land-use patterns
        • Describe how measurements on the output of a model can be used to describe model behaviour
        • Describe how various parameters in an agent-based model can be modified to evaluate the range of behaviors possible with a model specification
      • Topic GC6-5 (0)
        • Conduct simple experiments with an agent-based model, analyze results, and evaluate theirstatistical significance with respect to degrees of freedom, sensitivity analyses, and uncertainty inthe model—Determine if the model been run enough times with enough different random numberseeds for rigorous inference of its results
        • Describe how measurements on various inputs and outputs of a model can be used to describemodel behavior and to relate model outcomes to various initial conditions
        • Describe how various parameters in an agent based model can be modified to evaluate the rangeof behaviors possible with a model specification, this should include special emphasis on therigorous use of scientific “long-series” random number generators such as the Mersenne Twister,and on rigorous use of separable random number seeds and series to separate random effects.Design simple experiments with an agent-based model
        • Design and implement a simple agent-based model (e.g., via available platforms such ashttp://www.repast.org, http://www.anylogic.org, or ESRI’s new agent-based simulation toolbox forArcGIS.)
        • Implement a simple agent-based model
    • Unit: GC7 Simulation modeling (0)

      This unit introduces tools for creating new models, visualizing model simulations and outcomes, and analyzing key characteristics of initial conditions. It also addresses how results can be optimized based on systematic targeted search through the parameter and random seed spaces via supervisory search and optimization methods, such as genetic algorithms

      • Topic GC7-1 (0)
        • Conduct an experiment using simulation techniques from an activity-perspective
        • Describe how supervisory search and optimization methods can be used to analyze keycharacteristics of initial conditions and results and to optimize results based on systematictargeted search through the parameter and random seed spaces
        • Discuss effective scientific use of supervisory genetic algorithms with agent-based simulationModels
        • Discuss whether, when prior information is absent, repeatedly generating random syntheticdatasets can be used to provide statistical significance
        • Discuss Monte Carlo simulation use in GI S&T
        • Discuss important computational laboratory tools for creating new models and visualizing modelsimulations and model outcomes
        • Explain how a simulation from an activity-perspective can be used in transportation
    • Unit: GC8 Uncertainty (0)

      Computers allow for the specification of increasingly more and more complex geospatial models and simulations. The work associated with them is subject to a certain degree of uncertainty, both because of the nature of input data and the nature of the estimation techniques for model output. Parameters can vary widely. It is the mark of a good scientist to understand the nature of uncertainty in problem specification and results. Unit CF6 Imperfections in geographic information focuses on the theoretical roots of uncertainty, while this unit focuses on the role of uncertainty in the use of geographic information

      • Topic GC8-1 (0)
        • Describe a stochastic error model for a natural phenomenon
        • Differentiate between the following concepts: vagueness and ambiguity, well defined and poorly defined objects and fields or discord and non-specificity
      • Topic GC8-2 (0)
        • Compare and contrast how systematic errors and random errors affect measurement of distance
        • Describe the causes of at least five different types of errors (e.g. positional, attribute, temporal, logical inconsistency and incompleteness)
      • Topic GC8-3 (0)
        • Describe the Modifiable Areal Unit Problem (MAUP) associated with aggregation of data collected at different scales and its affect on spatial autocorrelation
        • Describe the Modifiable Areal Unit Problem (MAUP) and its affects on correlation, regression andClassification
        • Describe the concept of Ecological Fallacy, and comment on its relationship with the ModifiableAreal Unit Problem (MAUP)
      • Topic GC8-4 (0)
        • Compare and contrast error propagation techniques (e.g., Taylor, Monte Carlo, etc.)
        • Explain how some operations can exacerbate error while others dampen it (e.g., mean filter)
      • Topic GC8-5 (0)
        • Describe stochastic error models
        • Exemplify stochastic error models used in GIScience
      • Topic GC8-6 (0)
        • Describe the problem of conflation associated with aggregation of data collected at differenttimes, from different sources, and to different scales and accuracy requirements
        • Explain how geostatistical techniques might be used to address such problems
    • Unit: GC9 Fuzzy sets (0)

      The field of fuzzy sets casts a new light on the way the world and data about the world are viewed. Not all classification schemes need be considered crisp, in the sense of definitive. Fuzzy logic and fuzzy set techniques allow for the geospatial analysis of a more nuanced approach to data analysis. The concept of vagueness, and the associated fuzzy set theory, is discussed theoretically in Unit CF6 Imperfections in geographic information; the focus here is on the application of those concepts to modeling and analysis

      • Topic GC9-1 (0)
        • Describe how linear functions are used to fuzzify input data (i.e., mapping domain values tolinguistic variables)
        • Explain why Fuzzy Logic rather then Boolean Algebra models can be useful for representing realworld boundaries between different tree species
        • Support or refute the quote from Lotfi Zadeh: “As complexity rises, precise statements losemeaning and meaningful statements lose precision” (Mathworks.com) as it relates to GI S&T
      • Topic GC9-2 (0)
        • Define fuzzy measures and give an example of a fuzzy measure
        • Explain how numerical values can be mapped onto linguistic variables (e.g., “big,” “distant”)
        • Explain how and why fuzzy measures can be used in geocomputation
      • Topic GC9-3 (0)
        • Compare and contrast Boolean and fuzzy logical operations
        • Describe fuzzy aggregation operators
        • Describe how an approach to map overlay analysis might be different if region boundaries were ‘fuzzy’ rather than crisp
        • Exemplify one use of fuzzy aggregation operators
        • Compare and contrast several operators for fuzzy aggregation, including those for intersect and union
      • Topic GC9-4 (0)
        • Develop a standardization criterion that recasts values into a statement of fuzzy set membership
      • Topic GC9-5 (0)
        • Evaluate a fuzzy weighting scheme in terms of uncertainty and error propagation
    • CUnit: GC10 Computer programming (12)

      Algorithm development, basic programming

      .

      • Topic GC10-1 (0)
        • Explain computer program advanced algorithm concepts
        • Create computer programs containing advanced algorithms using a procedural programming language
        • Test computer programs containing advanced algorithms programmed using a procedural programming language
        • Document computer programs containing advanced algorithms using a procedural programming language
      • Topic GC10-2 (0)
        • Demonstrate an understanding of a graphical user interface (GUI) environment
        • Write a computer program using a procedural programming language for a GUI environment
        • Test a computer program written using a procedural programming language for a GUI environment
  • Knowledge Area: GD Geospatial Data (36)

    Geospatial data represent measurements of the locations and attributes of phenomena at or near Earth’s surface. Information is data made meaningful in the context of a question or problem. Information is rendered from data by analytical methods. Information quality and value depends to a large extent on the quality and currency of data (though historical data are valuable for many applications). Geospatial data may have spatial, temporal, and attribute (descriptive) components as well as associated metadata. Data may be acquired from primary or secondary data sources. Examples of primary data sources include surveying, remote sensing (including aerial and satellite imaging), the global positioning system (GPS), work logs (e.g., police traffic crash reports), environmental monitoring stations and field surveys. Secondary geospatial or geospatial-temporal data can be acquired by digitizing and scanning analog maps, as well as from other sources, such as governmental agencies. The legitimacy of geographic information science as a discrete field has been claimed in terms of the unique properties of geospatial data. In a paper in which he coined the term GIScience, Goodchild (1992) identified several such properties, including:1. Geospatial data represent spatial locations and non-spatial attributes measured at certain times.2. The Earth’s surface is highly complex in shape and continuous in extent.3. Geospatial data tend to be spatially autocorrelated.It has long been said that data account for the largest portion of geospatial project costs. While thismaxim remains true for many projects, practitioners and their clients now can reasonably expect certain kinds of data to be freely or cheaply available via the World Wide Web. Federal, state, regional, and local government agencies, as well as commercial geospatial data producers, operate clearinghouses that provide access to geospatial data. The U.S. Geological Survey envisions a “National Map” that is nationwide in coverage and updated continuously. Although geospatial data are much more abundant now than they were ten years ago, data quality issues persist. Good data are expensive to produce and to maintain. Proprietary interests impede data accessibility, especially beyond the U.S., where the notion of data as a public good is uncommon. Standards for geospatial data and metadata are useful in facilitating effective search, retrieval, evaluation, integration with existing data, and appropriate uses. National and international organizations such as the Federal Geographic Data Committee (FGDC) and International Organization for Standards (ISO) develop and promulgate such standards

    • CUnit: GD1 Earth geometry (4)

      Accurate geospatial data are based upon an accurate model of the shape of the Earth’s surface. TheEarth’s shape is complex and difficult to measure. Approximations of the Earth’s shape are used tominimize both positioning error and complexity

      • Topic GD1-1 (0)
        • Describe how man’s understanding of the Earth’s shape has evolved throughout history
        • Describe and critique early efforts to measure the Earth’s size and shape
        • Explain how technological and mathematical advances have led to more sophisticated knowledge about the Earth’s shape
        • Describe the contributions of key individuals (e.g., Eratosthenes, Newton, Picard, Bouguer,LaPlace, La Candamine) to man’s understanding of the Earth’s shape
      • Topic GD1-2 (0)
        • Explain why gravity varies over the Earth’s surface
        • Explain the concept of an equipotential gravity surface (i.e., a geoid)
        • Explain how geoids are modelled
        • Explain the role that the U.S. National Geodetic Survey plays in maintaining and developing geoid models<
      • Topic GD1-3 (0)
        • Distinguish between a geoid, an ellipsoid, a sphere, and the terrain surface
        • Explain why spheres and ellipsoids are used to approximate geoids
        • Describe an application for which it is acceptable to use a sphere rather than an ellipsoid
        • Identify the parameters used to define an ellipsoid
        • Differentiate the Clarke 1866 and WGS 84 ellipsoids in terms of ellipsoid parameters
        • Differentiate between a bi-axial and tri-axial ellipsoid and their applications
    • Unit: GD2 Land partitioning systems (0)

      Parcel-based geospatial reference systems used at the time of settlement left a lasting imprint on the pattern of development in many areas of the U.S.

      • Topic GD2-1 (0)
        • Compare the typical spatial arrangements of land parcels characteristic of early English, Spanish,and French settlements in the U.S.
        • Discuss advantages and disadvantages of unsystematic land partitioning methods in the contextof GIS
        • State a metes and bounds land description of a property parcel delineated in a land surveyDrawing
      • Topic GD2-2 (0)
        • Compare the USPLS and the Spanish land grant and French long lot systems
        • Describe the historical context of the United States Public Land Survey System (USPLS)
        • Describe the New England Town partitioning system
        • Differentiate the USPLS from the geographic coordinate system
        • Discuss advantages and disadvantages of systematic land partitioning methods in the context of GIS
        • Discuss the consequences of the USPLS with regard to public administration (i.e., zoning)
        • Explain how townships, ranges, and their sections are delineated in terms of baselines andprincipal meridians
        • Illustrate how to quarter-off portions of a township and range section
    • CUnit: GD3 Georeferencing systems (6)

      Geospatial referencing systems provide unique codes for every location on the surface of the Earth (or other celestial bodies). These codes are used to measure distances, areas, and volumes, to navigate, and to predict how and where phenomena on the Earth’s surface may move, spread, or contract. Pointbased, vector coordinate systems specify locations in relation to the origins of planar or spherical grids. Tessellated referencing systems specify locations hierarchically, as sequences of numbers that represent smaller and smaller subdivisions of two- or three dimensional surfaces that approximate the Earth’s shape, Linear referencing systems specify locations in relation to distances along a path from a starting point. Tessellation data models are considered in Unit DM3 Tessellation data models, and linear referencing models are considered in Unit DM4 Vector data models

      • Topic GD3-1 (0)
        • Distinguish between various latitude definitions (e.g., geocentric, geodetic, astronomic latitudes)
        • Explain the angular measurements represented by latitude and longitude coordinates
        • Locate on a globe the positions represented by latitude and longitude coordinates
        • Write an algorithm that converts geographic coordinates from decimal degrees (DD) to degrees, minutes, seconds (DMS) format
        • Using the coordinate grid ticks in the collar of a topographic map and the appropriate interpolation formula, calculate the coordinates of a given location on the map
        • Mathematically express the relationship between Cartesian coordinates and polar coordinates
        • Calculate the uncertainty of a ground position defined by latitude and longitude coordinatesspecified in decimal degrees to a given number of decimal places
      • Topic GD3-2 (0)
        • Explain why plane coordinates are sometimes preferable to geographic coordinates
        • Explain what Universal Transverse Mercator (UTM) eastings and northings represent
        • Associate UTM coordinates and zone specifications with corresponding position on a world map or globe
        • Identify the map projection(s) upon which UTM coordinate systems are based, and explain the relationship between the projection(s) and the coordinate system grid
        • Discuss the magnitude and cause of error associated with UTM coordinates
        • Differentiate the characteristics and uses of the UTM coordinate system from the Military Grid Reference System (MGRS) and the World Geographic Reference System (GEOREF)
        • Explain what State Plane Coordinates system (SPC) eastings and northings represent
        • Associate SPC coordinates and zone specifications with corresponding position on a U.S. map or globe
        • Identify the map projection(s) upon which SPC coordinate systems are based, and explain therelationship between the projection(s) and the coordinate system grid
        • Discuss the magnitude and cause of error associated with SPC coordinates
        • Recommend the most appropriate plane coordinate system for applications at different spatial extents and justify the recommendation
        • Critique the U.S. Geological Survey’s choice of UTM as the standard coordinate system for the U.S. National Map
        • Describe the characteristics of the “national grids” of countries other than the U.S.
      • Topic GD3-3 (0)
        • Explain the concept “quadtree”
        • Describe the octahedral quarternary triangulated mesh georeferencing system proposed byDutton
        • Discuss the advantages of hierarchical coordinates relative to geographic and plane coordinate systems
      • Topic GD3-4 (0)
        • Describe an application in which a linear referencing system is particularly useful
        • Discuss the magnitude and cause of error generated in the transformation from linear to planar coordinate systems
        • Explain how a network can be used as the basis for reference as opposed to the more common rectangular coordinate systems
        • Explain how the datum associated with a linear referencing system differs from a horizontal or vertical datum
        • Identify several different linear referencing methods (e.g., mileposts, reference posts, link and node) and compare them to planar grid systems
        • Identify the characteristics that all linear referencing systems have in common
    • CUnit: GD4 Datums (2)

      "Horizontal” datums define the geometric relationship between a coordinate system grid and the Earth's surface, where the Earth’s surface is approximated by an ellipsoid or other figure. “Vertical” datums are elevation reference surfaces such as mean sea level

      • Topic GD4-1 (0)
        • Define “horizontal datum” in terms of the relationship between a coordinate system and anapproximation of the Earth’s surface
        • Describe the limitations of a Molodenski transformation and in what circumstances a higherparameter transformation such as Helmert may be appropriate
        • Discuss appropriate applications of the various datum transformation options
        • Explain the difference between NAD 27 and NAD 83 in terms of ellipsoid parameters
        • Explain the difference in coordinate specifications for the same position when referenced to NAD27 and NAD 83
        • Explain the methodology employed by the U.S. National Geodetic Survey to transform controlpoints from NAD 27 to NAD 83
        • Explain the rationale for updating NAD27 to NAD83
        • Explain why all GPS data are originally referenced to the WGS 84 datum
        • Identify which datum transformation options that are available and unavailable in a GIS softwarePackage
        • Outline the historical development of horizontal datums
        • Perform a Molodenski transformation manually
        • Using a conversion routine maintained by the U.S. National Geodetic Survey, determine theimpact of a datum transformation from NAD 27 to NAD 83 for a given location
        • Use GIS software to perform a datum transformation
      • Topic GD4-2 (0)
        • Outline the historical development of vertical datums
        • Explain how a vertical datum is established
        • Differentiate between NAVD 29 and NAVD 88
        • Illustrate the difference between a vertical datum and a geoid
        • Illustrate the relationship among the concepts ellipsoidal (or geodetic) height, geoidal height, and orthometric elevation (See also Unit GD7-1)
    • CUnit: GD5 Map projections (6)

      Map projections are plane coordinate grids that have been transformed from spherical coordinate grids using mathematical formulae. Inverse projections transform plane coordinates to geographic. Plane coordinate systems are thus based upon map projections. Because transformation from a spherical grid to a flat grid inevitably distorts the geometry of the grid, and because different projection formulae produce different distortion patterns, knowledgeable selection of appropriate map projections for particular uses is critical. Selection criteria for small-scale thematic mapping are considered in Knowledge Area CV Cartography and Visualization, especially Unit CV2 Data considerations, while procedures for transforming data between projections are considered in Unit DN1 Representation transformation

      • Topic GD5-1 (0)
        • Describe the visual appearance of the Earth’s graticule
        • Identify and define the four geometric properties of the globe that may be preserved or lost in projected coordinates
        • Explain the concept of a “compromise” projection and for which purposes it is useful
        • Discuss what a Tissot indicatrix represents and how it can be used to assess projection-induced error
        • Interpret a given a projected graticule, continent outlines, and indicatrixes at each graticuleintersection in terms of geometric properties preserved and distorted
        • Illustrate distortion patterns associated with a given projection class
        • Recognize distortion patterns on a map based upon the graticule arrangement
        • Explain the kind of distortion that occurs when raster data are projected
        • Explain the rationale for the selection of the geometric property that is preserved in mapprojections used as the basis of the UTM and SPC systems
        • Recommend the map projection property that would be useful for various mapping applications, including parcel mapping, route mapping, etc., and justify your recommendations
      • Topic GD5-2 (0)
        • Explain the concept “developable surface” and “reference globe” as conceptual ways of projecting the Earth’s surface
        • Classify various map projection types by the three main classes of map projections based ondevelopable surfaces
        • Classify various map projection types according to the geometric properties preserved
        • Illustrate the graticule configurations for “other” projection classes, such as polyconic,pseudocylindrical, etc.
        • Explain the mathematical basis by which latitude and longitude locations are projected into x andy coordinate space
      • Topic GD5-3 (0)
        • Define key terms such as "standard line," projection "case," latitude and longitude of origin
        • Explain how the concepts of the tangent and secant cases relate to the idea of a standard line
        • Identify the possible “aspects” of a projection and describe the graticule’s appearance in each aspect
        • Identify the parameters that allow one to focus a projection on an area of interest
        • Use GIS software to produce a graticule that matches a target graticule
        • Implement a given map projection formulae in a software program that reads geographiccoordinates as input and produces projected (x, y) coordinates as output
      • Topic GD5-4 (0)
        • Differentiate rectification and orthorectification
        • Explain the role and selection criteria for “ground control points” (GCPs) in the georegistration of aerial imagery
        • Identify and explain an equation used to perform image-to-map registration
        • Identify and explain an equation used to perform image-to-image registration
        • Use GIS software to transform a given dataset to a specified coordinate system, projection, and datum
    • CUnit: GD6 Data quality (6)

      The ultimate standard of quality is the degree to which a geospatial data set is fit for use in a particular application. That standard varies from one application to another. In general, however, the key criteria are how much uncertainty is present in a data set and how much is acceptable. Judgments about fitness for use may be more difficult when data are acquired from secondary rather than primary sources. Aspects of data quality include accuracy, resolution, and precision. Concepts of data quality, error, and uncertainty are also covered in Knowledge Areas CF Conceptual Foundations (in a theoretical context) and GC Geocomputation (in the context of analysis); the focus here is on the measurement and assessment of data quality

      • Topic GD6-1 (0)
        • State the geometric accuracies associated with the various orders of the U.S. horizontal geodeticcontrol network
        • Explain how geometric accuracies associated with the various orders of the U.S. horizontalgeodetic control network are assured
        • State the approximate number and spacing of control points in each order of the horizontalgeodetic control network
        • Explain the factors that influence the geometric accuracy of data produced with GlobalPositioning System (GPS) receivers
        • Explain the concept of dilution of precision
        • Describe the impact of the concept of dilution of precision on the uncertainty of GPS positioning
        • Explain the principle of differential correction in relation to the global positioning system
        • Apply the National Map Accuracy Standard to calculate the accuracy associated with the variousUSGS topographic map scales
        • Compare the National Map Accuracy Standard with the ASPRS Coordinate Standard
        • In contrast to the National Map Accuracy Standard, explain how the spatial accuracy of a digitalroad centerlines data set may be evaluated and documented
        • Explain the formula for calculating root mean square error
        • Compare the concepts of geometric accuracy and topological fidelity
        • Describe how geometric accuracy should be documented in terms of the FGDC metadataStandard
      • Topic GD6-2 (0)
        • Explain the distinction between thematic accuracy, geometric accuracy, and topological fidelity
        • Describe the different measurement levels on which thematic accuracy is based
        • Describe the component measures and the utility of a misclassification matrix
        • Discuss how measures of spatial autocorrelation may be used to evaluate thematic accuracy
        • Outline the SDTS and ISO TC211 standards for thematic accuracy
      • Topic GD6-3 (0)
        • Illustrate and explain the distinction between “resolution,” “precision,” and “accuracy”
        • Illustrate and explain the distinctions between spatial resolution, thematic resolution, andtemporal resolution
        • Discuss the implications of the sampling theorem (λ = 0.5 δ) to the concept of resolution
        • Differentiate among the spatial, spectral, radiometric, and temporal resolution of a remote sensing instrument
        • Explain how resampling affects the resolution of image data
        • Discuss the advantages and potential problems associated with the use of Minimum Mapping Unit (MMU) as a measure of the level of detail in land use, land cover, and soils maps
      • Topic GD6-4 (0)
        • Calculate, in terms of ground area, the uncertainty associated with decimal coordinates specifiedto three, four, and five decimal places
        • Explain the concept of error propagation
        • Explain, in general terms, the difference between single and double precision and impacts onerror propagation
      • Topic GD6-5 (0)
        • Explain the distinction between primary and secondary data sources in terms of census data,cartographic data, and remotely sensed data
        • Describe a scenario in which data from a secondary source may pose obstacles to effective andefficient use
    • CUnit: GD7 Land surveying and GPS (6)

      In the U.S., land surveyors are licensed by state governments to produce geospatial data that conforms to legal accuracy standards. Such standards pertain to property demarcation, construction engineering, and other applications. Land surveyors and geodesists also create and maintain the control networks upon which highly accurate positioning depends. GPS is supplanting electro-optical methods for point positioning in surveying, mapping, and navigation. The topics included in this unit do not comprise an exhaustive treatment of land surveying and GPS, but they are aspects of the field about which all geospatial professionals should be knowledgeable

      • Topic GD7-1 (0)
        • Apply coordinate geometry to calculate positions in a coordinate system grid based on controlpoint locations and measured angles and distances
        • Explain how electronic distance measurement instruments work
        • Define the concepts ellipsoidal (or geodetic) height, geoidal height, and orthometric elevationIllustrate the relationship between the concepts of ellipsoidal (or geodetic) height, geoidal height,and orthometric elevation
        • Given the elevation of one control point, calculate the elevation of a second point by differential(spirit or direct) levelling
        • Given the elevation of one control point, calculate the elevation of a second point by trigonometric (indirect) levelling
        • Describe the differences between differential and trigonometric levelling
      • Topic GD7-2 (0)
        • Distinguish between GIS, LIS, and CAD/CAM in the context of land records management
        • Distinguish between topological fidelity and geometric accuracy in the context of a plat map
        • Exemplify and compare deed descriptions in terms of how accurately they convey the geometry of a parcel
        • Evaluate the difference in accuracy requirements for deeds systems versus registration system
      • Topic GD7-3 (0)
        • Explain how GPS receivers calculate coordinate data
        • Distinguish between horizontal and vertical accuracies when using coarse acquisitioncodes/standard positioning service (C-codes) and precision acquisition codes/precise positioningservice (P-codes)
        • Perform differential correction of GPS data using reference data from a CORS station
        • List, define, and rank the sources of error associated with GPS positioning
        • Explain the relevance of the concept of trilateration to both GPS positioning and control surveying
        • Specify the features of a GPS receiver that is able to achieve geometric accuracies on the order of centimeters without post-processing
        • Discuss the relationship of GPS to the Global Satellite Navigation System
        • Explain “selective availability,” why it was discontinued in 2000, and what alternatives areavailable to the U.S. Department of Defense
        • Explain the relationship of the U.S. Global Positioning System with comparable systemssponsored by Russia and the European Union and the Global Navigation Satellite System
        • Discuss the role of GPS in location-based services (LBS)
    • Unit: GD8 Digitizing (0)

      Encoding vector points, lines, and polygons by tracing map sheets on digitizing tablets has diminished inimportance since the early years of GI S&T, but remains a useful technique for incorporating historicalgeographies and local knowledge. “Heads-up” digitizing using digital imagery as a backdrop on-screen isa standard technique for editing and updating GIS databases

      • Topic GD8-1 (0)
        • Digitize and georegister a specified vector feature set to a given geometric accuracy andtopological fidelity thresholds using a given map sheet, digitizing tablet, and data entry software
      • Topic GD8-2 (0)
        • Outline a workflow that can be used to train a new employee to update a county road centrelines database using digital aerial imagery and standard GIS editing tools
      • Topic GD8-3 (0)
        • Outline the process of scanning and vectorizing features depicted on a printed map sheet using agiven GIS software product, emphasizing issues that require manual intervention
    • Unit: GD9 Field data collection (0)

      Field data collection involves the in situ measurement of physical and demographic phenomena occurring at or near the earth’s surface at particular locations and times

      • Topic GD9-1 (0)
        • Determine the minimum number and distribution of point samples for a given study area and agiven statistical test of thematic accuracy
        • Assess the practicality of statistically reliable sampling in a given situation
        • Determine minimum homogeneous ground area for a particular application
        • Describe how spatial autocorrelation influences selection of sample size and sample statistics
      • Topic GD9-2 (0)
        • Design point, transect, and area sampling strategies for given applications
        • Differentiate among random, systematic, stratified random, and stratified systematic unaligned sampling strategies
        • Differentiate between situations in which one would use stratified random sampling andsystematic sampling
      • Topic GD9-3 (0)
        • Identify the fundamental principle of the sampling theorem for specifying a sampling rate orInterval
        • Discuss what sampling intervals should be used to investigate some of the temporal patternsencountered in oceanography
        • Propose a sampling strategy considering a variable range in autocorrelation distances for aVariable
      • Topic GD9-4 (0)
        • Identify the measurement framework that applies to moving object tracking
        • Considering the measurement framework applied to moving object tracking, identify which of the dimensions of location, attribute, and time is fixed, which is controlled, and which is measured
        • Describe a real or hypothetical application of a sensor network in field data collection
        • Outline a combination of positioning techniques that can be used to support location-basedservices in a given environment
        • Explain the advantage of real-time kinematic GPS in field data collection
        • Describe an application of hand-held computing or personal digital assistants (PDAs) for fielddata collection
    • CUnit: GD10 Aerial imaging and photogrammetry (6)

      Since the 1940s aerial imagery has been the primary source of detailed geospatial data for extensivestudy areas. Photogrammetry is the profession concerned with producing precise measurements from aerial imagery. Aerial imaging and photogrammetry comprise a major component of the geospatial industry. The topics included in this unit do not comprise an exhaustive treatment of photogrammetry, but they are aspects of the field about which all geospatial professionals should be knowledgeable

      • Topic GD10-1 (0)
        • Explain the phenomenon that is recorded in an aerial image
        • Compare and contrast digital and photographic imaging
        • Explain the significance of "bit depth" in aerial imaging
        • Differentiate oblique and vertical aerial imagery
        • Describe the location and geometric characteristics of the “principal point” of an aerial image
        • Recognize the distortions and implications of relief displacement and radial distortion in an aerial image
      • Topic GD10-2 (0)
        • Compare common sensors—including LIDAR, and airborne panchromatic and multispectralcameras and scanners—in terms of spatial resolution, spectral sensitivity, ground coverage, andtemporal resolution
      • Topic GD10-3 (0)
        • Describe the elements of image interpretation
        • Use photo interpretation keys to interpret features on aerial photographs
        • Using a vertical aerial image, produce a map of land use/land cover classes
        • Calculate the nominal scale of a vertical aerial image
        • Calculate heights and areas of objects and distances between objects shown in a vertical aerial image
      • Topic GD10-4 (0)
        • Explain the relevance of the concept "parallax" in stereoscopic aerial imagery
        • Outline the sequence of tasks involved in generating an orthoimage from a vertical aerialPhotograph
        • Evaluate the advantages and disadvantages of photogrammetric methods and LIDAR forproduction of terrain elevation data
        • Specify the technical components of an aerotriangulation system
      • Topic GD10-5 (0)
        • Describe the source data, instrumentation, and workflow involved in extracting vector data(features and elevations) from analog and digital stereoimagery
        • Discuss the extent to which vector data extraction from aerial stereoimagery has been automated
        • Discuss future prospects for automated feature extraction from aerial imagery
      • Topic GD10-6 (0)
        • Plan an aerial imagery mission in response to a given RFP and map of a study area, taking intoconsideration vertical and horizontal control, atmospheric conditions, time of year, and time of day
    • CUnit: GD11 Satellite and shipboard remote sensing (0)

      Satellite-based sensors enable frequent mapping and analysis of very large areas. Many sensinginstruments are able to measure electromagnetic energy at multiple wavelengths, including those beyond the visible band. Satellite remote sensing is a key source for regional- and global-scale land use and land cover mapping, environmental resource management, mineral exploration, and global change research. Shipboard sensors employ acoustic energy to determine seafloor depth or to create imagery of the seafloor or water column. The topics included in this unit do not comprise an exhaustive treatment of remote sensing, but they are aspects of the field about which all geospatial professionals should be knowledgeable

      • Topic GD11-1 (0)
        • Explain the concepts of spatial resolution, radiometric resolution, and spectral sensitivity
        • Draw and explain a diagram that depicts the key bands of the electromagnetic spectrum inrelation to the magnitude of electromagnetic energy emitted and/or reflected by the Sun andEarth across the spectrum
        • Draw and explain a diagram that depicts the bands in the electromagnetic spectrum at whichEarth’s atmosphere is sufficiently transparent to allow high-altitude remote sensing
        • Illustrate the spectral response curves for basic environmental features (e.g., vegetation,concrete, bare soil)
        • Describe an application that requires integration of remotely sensed data with GIS and/or GPS data
      • Topic GD11-2 (0)
        • Compare common sensors by spatial resolution, spectral sensitivity, ground coverage, andtemporal resolution [e.g., AVHRR, MODIS (intermediate resolution ~500 m, high temporal)Landsat, commercial high resolution (Ikonos and Quickbird); LIDAR and microwave (Radarsat;SIR-A & -B); hyperspectral (AVRIS, Hyperion)]
        • Differentiate between “active” and “passive” sensors, citing examples of each
        • Differentiate “push-broom” and “cross-track” scanning technologies
        • Explain the principle of multibeam bathymetric mapping
        • Evaluate the advantages and disadvantages of airborne remote sensing versus satellite remoteSensing
        • Evaluate the advantages and disadvantages of acoustic remote sensing versus airborne orsatellite remote sensing for seafloor mapping
        • Select the most appropriate remotely sensed data source for a given analytical task, study area,budget, and availability
      • Topic GD11-3 (0)
        • Differentiate supervised classification from unsupervised classification
        • Produce pseudocode for common unsupervised classification algorithms including chain method, ISODATA method, and clustering
        • Perform a manual unsupervised classification given a two-dimensional array of reflectance values and ranges of reflectance values associated with a given number of land cover categoriesCalculate a set of filtered reflectance values for a given array of reflectance values and a digitalimage filtering algorithm
        • Describe a situation in which filtered data are more useful than the original unfiltered data
        • Describe the sequence of tasks involved in the geometric correction of the Advanced Very High Resolution Radiometer (AVHRR) Global Land Dataset
        • Compare pixel-based image classification methods with segmentation techniques
        • Explain how to enhance contrast of reflectance values clustered within a narrow band ofWavelengths
        • Describe an application of hyperspectral image data
      • Topic GD11-4 (0)
        • Explain how U.S. Geological Survey scientists and contractors assess the accuracy of theNational Land Cover Dataset
        • Evaluate the thematic accuracy of a given soils map
      • Topic GD11-5 (0)
        • Outline a plausible workflow used by MDA Federal (formerly EarthSat) to create the high-resolution GEOCOVER global imagery and GEOCOVER-LC global land cover datasets
        • Outline a plausible workflow for habitat mapping, such as the benthic habitat mapping in the main Hawaiian Islands as part of the NOAA Biogeography program
        • Describe how sea surface temperatures are mapped
        • Explain how sea surface temperature maps are used to predict El Niño events
    • CUnit: GD12 Metadata, standards, and infrastructures (0)

      Governments and businesses alike invest large sums to produce the geospatial data on which much of their operations depend. To maximize returns on these investments, organizations seek to minimize redundancies and facilitate reuse of data resources. One way to achieve efficiencies is to standardize the methods by which organizations encode, structure, document, and exchange geospatial data. The success of a Spatial Data Infrastructure depends on the availability of suitably qualified human resources in the industry. See also Knowledge Area OI5 Organizational and Institutional Aspects and OI6 Coordinating Organizations, and Knowledge Area GS GI S&T and Society (especially Unit GS5 Dissemination of geospatial information)

      • Topic GD12-1 (0)
        • Define “metadata” in the context of the geospatial data set
        • Explain the ways in which metadata increases the value of geospatial data
        • Outline the elements of the U.S. geospatial metadata standard
        • Interpret the elements of an existing metadata document
        • Identify software tools available to support metadata creation
        • Use a metadata utility to create a geospatial metadata document for a digital database youCreated
        • Formulate metadata for a graphic output that would be distributed to the general publicFormulate metadata for a geostatistical analysis that would be released to an experiencedAudience
        • Compose data integrity statements for a geostatistical or spatial analysis to be included in graphic output
        • Explain why metadata production should be integrated into the data production and database development workflows, rather than treated as an ancillary activity
      • Topic GD12-2 (0)
        • Differentiate between a controlled vocabulary and an ontology
        • Describe a domain ontology or vocabulary – i.e., land use classification systems, surveyor codes, data dictionaries, place names, or benthic habitat classification system
        • Describe how a domain ontology or vocabulary facilitates data sharing
        • Define “thesaurus” as it pertains to geospatial metadata
        • Describe the primary focus of the following content standards: FGDC, Dublin Core MetadataInitiative, and ISO 19115
        • Differentiate between a content standard and a profile
        • Describe some of the profiles created for the Content Standard for Digital Geospatial Metadata (CSDGM)
      • Topic GD12-3 (0)
        • Differentiate a data warehouse from a database
        • Discuss the appropriate use of a data warehouse versus a database
        • Differentiate the retrieval mechanisms of data warehouses and databases
        • Describe the functions that gazetteers support
      • Topic GD12-4 (0)
        • Explain the purpose, history, and status of the Spatial Data Transfer Standard (SDTS)
        • Describe the characteristics of the Geography Markup Language (GML)
        • Identify different levels of information integration
        • Identify the level of integration at which the Geography Markup Language (GML) operates
        • Describe the geospatial elements of Earth science data exchange specifications, such as theEcological Metadata Language (EML), Earth Science Markup Language (ESML), and ClimateScience Modeling Language (CSML)
        • Import data packaged in a standard transfer format to a GIS software package
        • Export data from a GIS program to a standard exchange format
      • Topic GD12-5 (0)
        • Explain the relevance of transport protocols to GI S&T
        • Describe the characteristics of the Simple Object Access Protocol (SOAP)
        • Describe the characteristics of the Z39.50 protocol
        • Describe the characteristics of the Open Digital Libraries (ODL) protocol
        • Describe the characteristics of the Open Digital Resource Description Framework (RDF) protocol
        • Describe the characteristics of the OpeN Data Access Protocol (OPenDAP)
        • Describe the characteristics of the Web Ontology Language (OWL)
        • Describe the characteristics of the Global Change Master Directory (GCMD)
        • Describe the characteristics of the Web Feature Services (WFS) protocols
        • Describe the characteristics of the Web Mapping Services (WMS) protocols
        • Describe the characteristics of the Web Catalog Services (WCS) protocols
        • Create a service that delivers geospatial data over the Internet using a standard transportProtocol
        • Create an application that consumes Web services using standards transport protocols
      • Topic GD12-6 (0)
        • Define the concepts of a Spatial Data Infrastructure, its purpose, benefits, trends and case studies
        • Explain the vision, history, and status of the U.S. National Spatial Data Infrastructure
        • Explain the vision, history, and status of the S.A. National Spatial Data Infrastructure
        • Compare U.S. initiatives to European and S.A. geographic information infrastructures
        • Explain the vision, history, and status of the Global Spatial Data Infrastructure
        • Obtain data from a spatial data infrastructure for a particular application
      • Topic GD12-7 (0)
        • Describe the specific workforce requirements for a successfull SDI implementation including organisational issues, capacity building, human resources, marketing, awareness and community support
  • Knowledge Area: GS GI S&T and Society (12)

    Geographic Information Science and Technology exists to serve the society, but it is not a panacea. The history of its development is the sum of fragmented efforts, which have still not been fully integrated. Its potential benefits are often constrained by several factors, and its potential impacts are not fully understood. Institutional and economic factors limit access to data, technology, and expertise by some of those who need it to make better decisions. Political, ideological, and personal issues aside, organizations invest in GI S&T when estimated benefits outweigh estimated costs. Evaluating costs and benefits is difficult and too often leads to nothing being done, however. For some individuals and groups, costs are prohibitive even though potential benefits are compelling. The legal framework provides a structure for regulating a number of key aspects of geographic information science, technology, and applications. Legal regimes determine who can claim the exclusive right to hold and use geospatial data, the conditions under which others may have access to the data, and what subsequent uses are permitted. Political struggles arise from conflicting proprietary and public interests about who benefits from geospatial information, and how the power to allocate the use of this information is, or should be, distributed among members of a society. The need to choose among conflicting interests sometimes poses ethical dilemmas for GI S&T professionals. Because so many public agencies and private organizations rely upon GI S&T for planning, decisionmaking, and management, GI S&T increasingly affects and is used to direct daily life. Critical approaches to understanding the role of GIS in society equip practitioners to employ GI S&T reflectively. The critical approach specifically questions the assumptions and premises that underlie the economic, legal, and political regimes and institutional structures within which GI S&T is implemented and are also considered in Knowledge Area OI Organizational and Institutional Aspects

    • Unit: GS1 Legal aspects (0)

      Legal problems can arise when geospatial information is used for land management, among otheractivities. Geospatial professionals may be liable for harm that results from flawed data or the misuse of data. Understanding of contract law and liability standards is essential to mitigate risks associated with the provision of geospatial information products and services

      • Topic GS1-1 (0)
        • Discuss ways in which the geospatial profession is regulated under the U.S.
        • Provide a brief overview of legislation and policies regulating geospatial data in S.A. in the context of the S.A. SDI, CSI and Pricing Policy, etc.
        • Compare and contrast the relationship of the geospatial profession and the U.S. legal regime with similar relationships in other countries such as in S.A.
        • Copyright and proprietry right issues, see GS4
      • Topic GS1-2 (0)
        • Differentiate “contracts for service” from “contracts of service”
        • Identify the liability implications associated with contracts
        • Discuss potential legal problems associated with licensing geospatial information
      • Topic GS1-3 (0)
        • Describe the nature of tort law generally and nuisance law specifically
        • Differentiate among contract liability, tort liability, and statutory liability
        • Describe cases of liability claims associated with misuse of geospatial information, erroneousinformation, and loss of proprietary interests
        • Describe strategies for managing liability risk, including disclaimers and data quality standards
      • Topic GS1-4 (0)
        • Discuss the status of the concept of “privacy” in the U.S. legal regime
        • Explain how data aggregation is used to protect personal privacy in data produced by the U.S. Census Bureau
        • Explain how conversion of land records data from analog to digital form increases risk to personal privacy
        • Compare and contrast geographic information technologies that are privacy-invasive, privacyenhancing, and privacy-sympathetic
        • Explain the argument that human tracking systems enable “geoslavery”
    • Unit: GS2 Economic aspects (0)

      Most organizations insist that investments in GI S&T be justified in economic terms. Quantifying the value of information, and of information systems, however, is not a straightforward matter

      • Topic GS2-1 (0)
        • Discuss the general role of information in economics
        • Describe the role of economics in public and private production of geospatial information
        • Describe the role of economics in the use of geospatial information
      • Topic GS2-2 (0)
        • Distinguish between operational, organizational, and societal activities that rely upon geospatialInformation
        • Identify practical problems in defining and measuring the value of geospatial information in landor other business decisions
        • Describe the potential benefits of geospatial information in terms of efficiency, effectiveness, and equity
        • Explain how cost-benefit analyses can be manipulated
        • Compare and contrast the evaluation of benefits at different scales (e.g., national, regional /state, local)
      • Topic GS2-3 (0)
        • Describe recent models of the benefits of GI S&T applications
        • Discuss the extent to which external costs and benefits enhance the economic case for GIS
        • Explain how profit considerations have shaped the evolution of GI S&T
        • Outline the elements of a business case that justifies an organizations’ investment in anenterprise geospatial information infrastructure
      • Topic GS2-4 (0)
        • Describe perspectives on the nature and scope of system benefits among agency officials,organizational personnel, and citizens
        • Discuss implications of unequal economic power on the kinds of organizations that use, andbenefit from, GI S&T
      • Topic GS2-5 (0)
        • Explain how the saying “developing data are the largest single cost of implementing GIS” couldbe true for an organization that is already collecting data as part of its regular operations
        • Outline the categories of costs that an organization should anticipate as it plans to design andimplement a GIS
        • Outline sources of additional costs associated with development of an enterprise GIS
        • Describe some non-fiduciary barriers to GIS implementation
        • Summarize what the literature suggests as means for overcoming some of the non-fiduciarybarriers to GIS implementation
    • Unit: GS3 Use of geospatial information in the public sector (0)

      Government agencies at local, state, and federal levels produce and use geospatial data for manyactivities, including provision of social services, public safety (police, fire, and E911), economicdevelopment, environmental management, and national defense. Public participation in governing,empowered by geospatial technologies, offers the potential to strengthen democratic societies byinvolving grassroots community organizations and by engaging local knowledge

      • Topic GS3-1 (0)
        • List and describe the types of data maintained by local, state, and federal governments
        • Describe how geospatial data are used and maintained for land use planning, property valueassessment, maintenance of public works, and other applications
        • Explain the concept of a “spatial decision support system”
        • Explain how geospatial information might be used in a taking of private property through agovernment’s claim of its right of eminent domain
      • Topic GS3-2 (0)
        • Differentiate among universal/deliberative, pluralist/representative, and participatory models ofcitizen participation in governing
        • Compare the advantages and disadvantages of group participation and individual participation
        • Describe the six “rungs” of increasing participation in governmental decision-making thatconstitute a “ladder” of public participation
        • Describe the range of spatial scales at which community organizations operate
        • Describe an example of “local knowledge” that is unlikely to be represented in the geospatial data maintained routinely by government agencies
        • Defend or refute the argument that local knowledges are contested
        • Explain how community organizations represent the interests of citizens, politicians, and planners
        • Explain and respond to the assertion that “capturing local knowledge” can be exploitative
        • Explain how legislation such as the Community Reinvestment Act of 1977 provides leverage tocommunity organizations
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      • Topic GS3-3 (0)
        • Explain how geospatial technologies can assist community organizations at each rung of theladder of public participation
        • Explain why some community organizations may encounter more difficulty than others inacquiring geospatial data from public and private organizations
        • Explain how community organizations’ use of geospatial technologies can alter existingcommunity power relations
        • Critique the assertion that public participation GIS promotes democracy
        • Explain the challenge of representing within current GIS software local knowledge that is neithereasily mapped or verified
        • Discuss advantages and disadvantages of six models of GIS availability, including communitybased GIS; University-community partnerships; GIS facilities in universities and public libraries; ‘Map rooms’; Internet map servers; and Neighborhood GIS centers
    • Unit: GS4 Geospatial information as property (0)

      The nature of information in general, and the characteristics of geospatial information in particular, make it an unusual and difficult subject for a legal regime that seeks to establish and enforce the type of exclusive control associated with other commodities. Geospatial information is in many ways unlike the kinds of works that intellectual property rights were intended to protect. Still, organizations can, and do, assert proprietary interests in geospatial information. Perspectives on geospatial information as property vary between the public and private sectors and between different countries

      • Topic GS4-1 (0)
        • Explain the legal concept “property regime”
        • Describe organizations’ and governments’ incentives to treat geospatial information as property
        • Argue for, and against, the treatment of geospatial information as a commodity
        • Outline arguments for and against the notion of information as a public good
        • Compare and contrast the U.S. federal government’s policy regarding rights to geospatial data with similar policies in other countries such as S.A.
        • Compare and contrast the consequences of different national policies about rights to geospatial data in terms of the real costs of spatial data, their coverage, accuracy, uncertainty, reliability, validity and maintenance
      • Topic GS4-2 (0)
        • Distinguish among the various intellectual property rights, including copyright, patent, trademark, business methods, and other rights
        • Differentiate geospatial information from other “works” protected under copyright law
        • Explain how maps may be protected under U.S. copyright law
        • Explain how databases may be protected under U.S. copyright law
        • Describe advantages and disadvantages of “open” alternatives to copyright protection, such asthe Creative Commons
        • Outline the intellectual property protection clause of a contract that a local government uses tolicense geospatial data to a community group
      • Topic GS4-3 (0)
        • Explain the concept of “fair use” with regard to geospatial information
        • Identify types of copyright infringement
        • Describe defenses against various claims of copyright infringement
        • Discuss ways in which copyright infringements may be remedied
    • Unit: GS5 Dissemination of geospatial information (0)

      Geospatial data are abundant, but access to data varies with the nature of the data, who wishes toacquire it and for what purpose, under what conditions, and at what price. Legal relations between public and private organizations and individuals govern data access. Complementary topics appear in Knowledge Area GD Geospatial Data (especially Unit GD12 Data standards and infrastructures), and Knowledge Area OI (Units 0I5 Institutional and Inter-intuitional aspects and OI6 Coordinating organizations)

      • Topic GS5-1 (0)
        • Describe political, economic, administrative, and other social forces in agencies, organizations,and citizens that inhibit or promote sharing of geospatial and other data
      • Topic GS5-2 (0)
        • Describe formal and informal arrangements that promote geospatial data sharing (e.g., FGDC,ESDI, memoranda of agreements, informal access arrangements, targeted funding support)
        • Describe a situation in which politics interferes with data sharing and exchange
      • Topic GS5-3 (0)
        • Describe contracts, licenses, and other mechanisms for sharing geospatial data
        • Outline the terms of a licensing agreement with a local engineering consulting firm that amanager of a county government GIS office would employ if charged to recoup revenue throughsale and licensure of county data
      • Topic GS5-4 (0)
        • Discuss the way that a legal regime balances the need for security of geospatial data with thedesire for open access
    • CUnit: GS6 Ethical aspects of geospatial information and technology (12)

      Ethics provide frameworks that help individuals and organizations make decisions when confronted with choices that have moral implications. Most professional organizations develop codes of ethics to help their members do the right thing, preserve their good reputation in the community, and help their members develop as a community

      • Topic GS6-1 (0)
        • Describe a variety of philosophical frameworks upon which codes of professional ethics may bebased
        • Discuss the ethical implications of a local government’s decision to charge fees for its dataDescribe a scenario in which you would find it necessary to report misconduct by a colleague orfriend
        • Describe the individuals or groups to which GI S&T professionals have ethical obligations
      • Topic GS6-2 (0)
        • Compare and contrast the ethical guidelines promoted by the GIS Certification Institute (GISCI)and the American Society for Photogrammetry and Remote Sensing (ASPRS)
        • Describe the sanctions imposed by ASPRS and GISCI on individuals whose professional actionsviolate the Codes of Ethics
        • Explain how one or more obligations in the GIS Code of Ethics may conflict with organizations’proprietary interests
        • Propose a resolution to a conflict between an obligation in the GIS Code of Ethics andorganizations’ proprietary interests
    • Unit: GS7 Critical GIS (0)

      Many of the educational objectives used to define topics in this knowledge area, and in the Body ofKnowledge 2006 as a whole, challenge educators and students to think critically about GI S&T. Since the 1990s, scholars have criticized GI S&T from a wide range of perspectives. Common among thesecritiques are questioned assumptions about the purported benefits of GI S&T and attention to itsunexamined risks. By promoting reflective practice among current and aspiring GI S&T professionals, an understanding of the range of critical perspectives increases the likelihood that GI S&T will fulfill its potential to benefit all stakeholders. Philosophical, psychological, and social underpinnings of these critiques are considered in Knowledge Area CF: Conceptual Foundations

      • Topic GS7-1 (0)
        • Explain the argument that GIS privileges certain views of the world over others
        • Identify alternatives to the “algorithmic way of thinking” that characterizes GIS
        • Discuss critiques of GIS as “deterministic” technology in relation to debates about the“quantitative revolution” in the discipline of geography
        • Describe the extent to which contemporary GI S&T supports diverse ways of understanding the world
        • Discuss the implications of interoperability on ontology
      • Topic GS7-2 (0)
        • Defend or refute the argument that the GI S&T professionals are culpable for applications thatresult in civilian casualties in warfare
        • Defend or refute the argument that the “digital divide” that characterizes access to GI S&T perpetuates inequities among developed and developing nations, among socio-economic groups,and between individuals, community organizations, and public agencies and private firms
        • Discuss the ethical implications of the use of GI S&T as a surveillance technology
      • Topic GS7-3 (0)
        • Defend or refute the contention that the masculinist culture of computer work in general, and GIS work in particular, perpetuates gender inequality in GI S&T education and training andoccupational segregation in the GI S&T workforce
        • Explain the argument that GIS and remote sensing foster a “disembodied” way of knowing theWorld
        • Discuss the potential role of agency (individual action) in resisting dominant practices and inusing GI S&T in ways that are consistent with feminist epistemologies and politics
      • Topic GS7-4 (0)
        • Explain the argument that, throughout history, maps have been used to depict social relations
        • Explain how a tax assessor’s office adoption of GI S&T may affect power relations within aCommunity
        • Discuss the production, maintenance, and use of geospatial data by a government agency orprivate firm from the perspectives of a taxpayer, a community organization, and a member of aminority group
        • Explain the argument that GIS is “socially constructed”
        • Describe the use of GIS from a political ecology point of view (e.g., consider the use of GIS forresource identification, conservation, and allocation by an NGO in Sub-Saharan Africa)
        • Defend or refute the contention that critical studies have an identifiable influence on thedevelopment of the information society in general and GIScience in particular
  • Knowledge Area: OI Organizational and Institutional Aspects (12)

    This knowledge area considers the management of GI systems—including hardware, software, data, and workforce—within and among private and public organizations. Mastery of the educational objectives in this knowledge area requires complimentary competencies in the allied field of business management. Also considered are local, national, and international organizations concerned with the coordination and effectiveness of GI S&T. The success of these organizations in helping to fulfill the potential of GI S&T to improve the quality of life depends upon the participation and cooperation of GI S&T professionals and the public (see also Knowledge Area GS GI S&T and Society). The knowledge area begins with a consideration of the emergence of GI S&T as a distinct community of practice. This knowledge area uses the term “GI system” to refer to a particular, semi-closed system of hardware, software, people, and business rules, such as an enterprise GIS. Related topics are considered in Knowledge Area GS GI S&T in Society and Knowledge Area DA Design Aspects

    • Unit: OI1 Origins of GI S&T (0)

      Though the conceptual foundations of GI S&T originated much earlier, GIS emerged as a distincttechnology less than 50 years ago. GI S&T is still only just becoming a coherent field. Practitioners’awareness of the historical roots of their field contribute to its coherence and advancement

      • Topic OI1-1 (0)
        • Identify some of the key federal agencies and programs that provided the impetus for thedevelopment of GI S&T
        • Describe the role of NASA and the Landsat program in promoting development of digital imageprocessing and raster GIS systems
        • Explain how the federalization of land management in Canada led to the development of theCanadian Geographic Information System in the 1960s
        • Discuss the role of the U.S. Census Bureau in contributing to the development of the U.S.geospatial industry
        • Discuss the role of the U.S. Geological Survey in contributing to the development of the U.S.geospatial industry
        • Describe the mechanical and computerized technologies used by civilian and military mappingagencies between World War II and the advent of GIS
        • Trace the history of the relationship between the intelligence community and the geospatialIndustry
        • Compare and contrast the initiatives of various countries to move their national mapping activities to geospatial data
      • Topic OI1-2 (0)
        • Identify some of the key commercial activities that provided an impetus for the development of GI S&T
        • Discuss the emergence of the GIS software industry in terms of technology evolution and markets served by firms such as ESRI, Intergraph, and ERDAS
        • Describe the influence of evolving computer hardware and of private sector hardware firms such as IBM on the emerging GIS software industry
        • Describe the contributions of McHarg and other practitioners in developing geographic analysis methods later incorporated into GIS
        • Evaluate the correspondence between advances in hardware and operating system technology and changes in GIS software
        • Differentiate the dominant industries using geospatial technologies during the 1980s, 1990s, and 2000s
      • Topic OI1-3 (0)
        • Identify the key academic disciplines that contributed to the development of GI S&T
        • Discuss the contributions of early academic centers of GI S&T research and development (e.g. Harvard Laboratory for Computer Graphics, UK Experimental Cartography Unit)
        • Evaluate the role that the quantitative revolution in geography played in the development of GIS
        • Describe the major research foci in GIS and related fields in the 1970s, 1980s, 1990s, and 2000s
        • Evaluate the importance of the NCGIA and UCGIS in coalescing GIScience as a sub-field of GIS&T
      • Topic OI1-4 (0)
        • Explain how knowledge of the history of the development of enterprise GIS can aid in animplementation process
        • Discuss the evolution of isolated GIS projects to enterprise GIS
        • Evaluate case studies of past GI systems to identify factors leading to success and failure
      • Topic OI1-5 (0)
        • Identify future trends in computer science and information technology as they relate to GI system designs in organizations
        • Assess the impact of technology convergence, such as spatial technologies with Web services,wireless, and grid computing
        • Utilize resources (e.g., conferences, journals) to keep up to date on ongoing research indeveloping enterprise and intra-organizational GI systems
        • Discuss the evolution of “Enterprise GIS” toward integrated business applications within, across,and between organizations
        • Discuss the impact of the Internet on the geospatial industry since the mid-1990s
        • Evaluate the possible implications of technologies (e.g., Google Earth, Microsoft Live Local,vehicle navigation systems) in popularizing GI S&T
    • Unit: OI2 Managing the GI system operations and infrastructure (0)

      This unit addresses the main tasks and issues involved in managing the GI system operations andinfrastructure across an organization. The emphasis is on understanding basic approaches and models and adapting them appropriately to a specific organization and its GI S&T needs and activities. This unit is closely related to Units DA2 Project definition, DA3 Resource planning, and DA7 System implementation, which cover the initial budgeting and management tasks during the design and implementation of GI systems. This is also closely related to Unit GS2 Economic aspects

      • Topic OI2-1 (0)
        • Calculate the estimated schedule required to carry out all of the implementation steps for anenterprise GI system of a given size
        • Describe the components of a needs assessment for an enterprise GI system
        • Exemplify each component of a needs assessment for an enterprise GI system
        • Indicate the possible justifications that can be used to implement an enterprise GI system
        • List some of the topics that should be addressed in a justification for implementing an enterprise
        • GI system (e.g., return on investment, workflow, knowledge sharing)
      • Topic OI2-2 (0)
        • Describe a method that allows users within an organization to access data, including methods ofdata sharing, version control, and maintenance
        • Describe how internal spatial data sources can be handled during an implementation process
        • Describe how spatial data and GI S&T can be integrated into a work flow process
        • Develop a plan for user feedback and self-evaluation procedures
        • Evaluate how external spatial data sources can be incorporated into the business process
        • Evaluate internal spatial databases for continuing adequacy
        • Evaluate the efficiency and effectiveness of an existing enterprise GI system
        • Evaluate the needs for spatial data sources including currency, accuracy and access, specificallyaddressing issues related to financial costs, sharing arrangements, online/realtime, andtransactional processes across an organization
        • Illustrate how a business process analysis can be used to periodically review systemRequirements
        • List improvements that may be made to the design of an existing GI system
      • Topic OI2-3 (0)
        • Describe various approaches to the long-term funding of a GI system in an organization
        • Describe methods to evaluate the return on investment (ROI) of a GI system within anOrganization
        • Develop a budget for ongoing re-design and system improvement
        • Discuss the advantages and disadvantages of maintenance contracts for software, hardware, and data across an enterprise
        • Evaluate the adequacy of current investments in capital (e.g., facilities, hardware, software) and labor for a GI system
        • Justify changes to the investment in an enterprise GI system, including both cutbacks andincreased expenses
      • Topic OI2-4 (0)
        • Describe how using standards can affect implementation of a GI System
        • Describe effective methods to get stakeholders to create, adopt, or develop and maintainmetadata for shared datasets
        • Explain how validation and verification processes can be used to maintain database integrity
        • Summarize how data access processes can be a factor in development of an enterprise GISystem implementation
      • Topic OI2-5 (0)
        • Demonstrate how the way people do their jobs can affect system management
        • Describe how system management includes understanding people
        • Describe methods for articulating user needs to internal technical support staff
      • Topic OI2-6 (0)
        • Develop a plan to provide user support to aid in the implementation process
        • Illustrate how the failure of successfully engaging user support can affect the outcome of a GIsystem implementation project
    • Unit: OI3 Organizational structures and procedures (0)

      GI S&T implementation and use within an organization often involves a variety of participants,stakeholders, users and applications. Organizational structures and procedures address methods fordeveloping, managing, and coordinating these multi-purpose, multi-user GI systems and programs.Although topics refer to structures, the related procedures are equally important

      • Topic OI3-1 (0)
        • Analyze how using GI S&T as an integrating technology affects different models of management
        • Describe how GI S & T can be used in the decision-making process in organizations dealing with natural resource management, business management, public management or operationsManagement
        • Differentiate an enterprise system from a department-centered GI system
        • Explain how GI S&T can be an integrating technology
        • Illustrate what functions a support or service center can provide to an organization using GI S&T
      • Topic OI3-2 (0)
        • Describe the stages of two different models of implementing a GI system within an organization
        • Describe different organizational models for coordinating GI S&T participants and stakeholders
        • Compare and contrast centralized, federated, and distributed models for managing information infrastructures
        • Describe the roles and relationships of GI S&T support staff
        • Exemplify how to make GI S&T relevant to top management
      • Topic OI3-3 (0)
        • Compare and contrast the prototypical corporate cultures of a MIS department and a GISDepartment
        • Compare and contrast the readiness of GI S&T professionals to learn MIS skills versus thereadiness of MIS professionals to learn GI S&T skills
        • Describe the issues to consider when integrating with MIS in relation to personnel, hardware,software, and data
        • Draw conclusions from previous cases of GI S&T and MIS integration, including successes andFailures
        • Make a business case for or against integrating GI S&T and MIS in the context of a particularOrganization
    • Unit: OI4 GI S&T workforce themes (0)

      This unit addresses GI S&T staff and workforce issues within an organization, particularly as they relate to ensuring that GI S&T is appropriately used and supported. Related GI S&T professional issues are addressed in Knowledge Area GS GI S&T in Society

      • Topic OI4-1 (0)
        • Describe issues that may hinder implementation and continued successful operation of a GIsystem and a Spatial Data Infrastructure if effective methods of staff development are not included in the process
        • Outline methods (programs or processes) that provide effective staff development opportunitiesfor GI S&T
      • Topic OI4-2 (0)
        • Describe the differences between licensing, certification and accreditation in relation to GI S&T positions and qualifications in the U.S., Europe and South Africa
        • Discuss the status of professional and academic certification (registration) in GI S&T
        • Discuss how a code of ethics might be applied within an organization
        • Explain why it has been difficult for many agencies and organizations to define positions androles for GI S&T professionals
        • Identify the qualifications needed for a particular GI S&T position
        • Identify the standard occupational codes that are relevant to GI S&T
      • Topic OI4-3 (0)
        • Compare and contrast training methods utilized in a non-profit to those employed in a localgovernment agency
        • Discuss different formats (tutorials, in house, online, instructor lead) for training and how they can be used by organizations
        • Discuss the National Research Council report on Learning to Think Spatially (2005) as it relates to spatial thinking skills needed by the GI S&T workforce
        • Find or create training resources appropriate for GI S&T workforce in a local governmentOrganization
        • Identify the particular skills necessary for users to perform tasks in three different workforcedomains (e.g., small city, medium county agency, a business, or others)
        • Illustrate methods that are effective in providing opportunities for education and training when implementing a GI system in a small city
        • Teach necessary skills for users to successfully perform tasks in an enterprise GI system
      • Topic OI4-4 (0)
        • Explain how resistance to change and the need to standardize operations when trying toincorporate GI S&T can promote inclusion into existing job classifications
        • Illustrate how methods for overcoming resistance to change can aid implementation of a GISystem
        • Select two effective methods of overcoming resistance to change
    • CUnit: OI5 Recognition of prior learning (RPL) and Work Integarted Learning (WIL) (6)

      This Unit discusses the importance of RPL and WIL in the work place, the development and implementation of policies

      • Topic OI5-1 (0)
        • Demonstrate understanding of the conceptual underpinnings and purposes of the recognition of prior learning
        • Investigate current RPL practice and opportunities in an organisation or sector
        • Develop RPL policies, procedures and plans for an organisation
        • Provide RPL advice and support
        • Promote RPL practices
      • Topic OI5-2 (0)
        • Demonstrate understanding of the conceptual underpinnings and purposes of work integrated learning
        • Investigate current WIL practice and opportunities in an organisation or sector
        • Develop WIL policies, procedures and plans for an organisation
        • Provide WIL advice and support
        • Promote WIL practices
      • Topic OI5-3 (0)

        Practitioners who achieve this standard will be able to:

        • Facilitate the holistic development of learners
        • Promote the learner's sense of responsibility to society
        • Advise learners with respect to their strategies of learning and occupational interests
        • Refer learners to appropriate counselling services
        • Evaluate own practice when mentoring and advising learners
    • CUnit: OI6 Institutional and inter-institutional aspects (6)

      As GI S&T use extends beyond the traditional in-house data warehouses and Web services (within one organization), the fuzzy boundary between formal and informal organizations and inter-institutional use will have societal and ethical implications within and beyond each organization (related issues are covered in Knowledge Area GS GI S&T in Society)

      • Topic OI6-1 (0)
        • Explain how clearing houses, metadata, and standards can help facilitate spatial data sharing
        • Explain how privacy and commoditization of data impact influences decisions regarding spatial data infrastructures
      • Topic OI6-2 (0)
        • Compare and contrast the impact effect of time for developing consensus-based standards withimmediate operational needs
        • Explain how resistance to change affects the adoption of standards in an organizationcoordinating a GI system
        • Explain how a business case analysis can be used to justify the expense of implementingconsensus-based standards
        • Identify organizations that focus on developing standards related to GI S&T
        • Identify standards that are used in GI S&T
      • Topic OI6-3 (0)
        • Explain how an understanding of use of current and proposed technology in other organizationscan aid in implementing a GI system
      • Topic OI6-4 (0)
        • Describe the rationale for and against sharing data among organizations
        • Describe methods used by organizations to facilitate data sharing
        • Describe the barriers to information sharing
      • Topic OI6-5 (0)
        • Assess the status of openness in the GI S&T field
        • Differentiate “open standards,” “open source,” and “open systems”
        • Discuss the advantages and disadvantages of adopting open systems in the context of a localGovernment
        • In the role of a consultant or chief information officer, respond to a client’s or colleague’s question about the future prospects of open standards and systems in GI S&T
      • Topic OI6-6 (0)
        • Assess the effect of restricting data in the context of the availability of alternate sources of data
        • Exemplify areas where post-9/11 changes in policies have restricted or expanded data access
      • Topic OI6-7 (0)
        • Describe the advantages and disadvantages to an organization in using GIS portal informationfrom other organizations
        • Describe how inter-organization GIS portals may impact or influence issues related to socialequity, privacy and data access
        • Discuss how distributed GI S&T may affect the nature of organizations and relationships amongInstitutions
        • Suggest the possible societal and ethical implications of distributed GI S&T
      • Topic OI6-8 (0)
        • Describe the advantages and disadvantages to an organization in using GIS portal informationfrom other organizations or entities (private, public, non-profit)
        • Describe how inter-organization GIS portals may impact issues related to social equity, privacyand data access
        • Discuss the mission, history, constituencies and activities of user conferences hosted by softwareVendors
        • Discuss the roles traditionally performed by software vendors in developing professionals in GIS&T
        • Discuss the history of major geospatial-centric companies, including software, hardware, anddata vendors
    • CUnit: OI7 Business and project management (6)

      Effective communication within the built environment (written and spoken communication, communication in the workplace); office organisation and methods; contracts; awareness of management theory,  marketing and client relations. Introduction to project management.

      • Topic OI7-1 (0)
        • Assess the current status of Gore’s “digital earth”
        • Describe the data programs provided by organizations such as The National Map, GeoSpatialOne Stop, and National Integrated Land System
        • Discuss the mission, history constituencies and activities of international organizations such as Association of Geographic Information Laboratories for Europe (AGILE) and the European GISEducation Seminar (EUGISES)
        • Discuss the mission, history, constituencies, and activities of governmental entities such as the Bureau of Land Management (BLM), United States Geological Survey (USGS) and theEnvironmental Protection Agency as they related to support of professionals and organizationsinvolved in GI S&T
        • Discuss the mission, history, constituencies, and activities of GeoSpatial One StopDiscuss the mission, history, constituencies, and activities of the Open Geospatial Consortium(OGC), Inc.
        • Discuss the mission, history, constituencies, and activities of the Nation Integrated Land System (NILS)
        • Discuss the mission, history, constituencies, and activities of the Federal Geographic DataCommittee (FGDC)
        • Discuss the mission, history, constituencies, and activities of the National Academies of Science Mapping Science Committee
        • Discuss the mission, history, constituencies, and activities of the USGS and its National MapVision
        • Discuss the mission, history, constituencies, and activities of University Consortium ofGeographic Science (UCGIS) and the National Center for Geographic Information and Analysis(NCGIA)
        • Discuss the political, cultural, economic, and geographic characteristics of various countries that influence their adoption and use of GI S&T
        • Identify National Science Foundation (NSF) programs that support GI S&T research andEducation
        • Outline the principle concepts and goals of the “digital earth” vision articulated in 1998 by Vice President Al Gore
      • Topic OI7-2 (0)
        • Describe how state GIS Councils can be used in enterprise GI S&T implementation processesDetermine if your state has a Geospatial Information Office (GIO) and discuss the mission,history, constituencies and activities of a GIO
        • Discuss how informal and formal regional bodies (e.g., Metro GIS) can help support GI S&T in an organization
        • Discuss the mission, history, constituencies, and activities of National States GeographicInformation Council (NSGIC)
        • Explain the functions, mission, history, constituencies, and activities of your state GIS Counciland related formal and informal bodies
      • Topic OI7-3 (0)
        • Compare and contrast the missions, histories, constituencies, and activities of professionalorganizations including Association of American Geographers (AAG), America Society forPhotogrammetry and Remote Sensing (ASPRS), Geospatial Information and TechnologyAssociation (GITA), Management Association for Private Photogrammetric Surveyors (MAPPS), Urban and Regional Information Systems Association (URISA), Geographical Information Society of South Africa (GISSA), the South African Geomatics Institute (SAGI) and The South African Council for Professional and Technical Surveyors (PLATO)
        • Discuss the mission, history, constituencies, and activities of the GIS Certification Institute(GISCI) and compare with registration activities of PLATO
        • Identify conferences that are related to GI S&T hosted by professional organizations
      • Topic OI7-4 (0)
        • Describe the leading academic journals serving the GI S&T community
        • Develop a bibliography of scholarly and professional articles and/or books that are relevant to a particular GI S&T project
        • Select association and for-profit journals that are useful to entities managing enterprise GISystems
        • Select and describe the leading trade journals serving the GI S&T community
      • Topic OI7-5 (0)
        • Describe possible benefits to an organization by participating in a given society that is related toGI S&T
        • Discuss the value or effect of participation in societies, conferences, and informal communities toentities managing enterprise GI systems
        • Identify conferences that are related to GI S&T
      • Topic OI7-6 (0)
        • Assess the involvement of non-GIS companies (e.g., Microsoft, Google) in the geospatial industry
        • Describe the geospatial industry in your country of origin including vendors, software, hardware and data
        • Describe three applications of geospatial technology for different workforce domains (e.g., firstresponders, forestry, water resource management, facilities management)
        • Explain why software products sold by U.S. companies may predominate in foreign markets,including Europe, Australia and Africa?
  • Knowledge Area: RM Research Methods (8)

    The research project must have a system design and or spatial analysis component and include reporting and presentation of final results. The time spend on research topic selection, research proposal, analysis & interpretation, progress reporting, and liaison with research supervisor must be a minimal of 300 hours

    • CUnit: RM1 Research methodologies (POE) (8)

      Discuss various research methodologies and chose the one best suited to your work

      • Topic RM1-1 (0)
        • Writing a research proposal
        • Conducting a critical literature review
        • Structuring precise research questions
        • Selecting or devising appropriate research methods
        • Critical analysis of the results emanating from the research
        • Writing up the research dissertation
        • Application of recognised referencing methods
        • Undertaking study at an advanced level
        • Critical analysis of the results emanating from the research
    • CUnit: RM2 Research problem and methods (0)

      Discuss the research problem and solution

      • Topic Rm2-1 (0)
        • Identify a problem in the GISc field that is viable and researchable
        • Provided prove that the learner in which he/she has done their research understands the problem in the GISc industry
        • Analyse and set out the problem logically in order to arrive at logical conclusions or a diagnosis in the course of the research
        • Introduce proposals for the improvement/elimination of the problem that was identified and researched
    • CUnit: RM3 Analysing the results and discussion (0)

      Explain the various ways to analyse the results and subsequent discussion

      • Topic RM3-1 (0)
        • Planning descriptive, quantitative and qualitative research projects in a responsible manner
        • Maintaining professional and ethical working relationships with fellow researchers and participants
        • Conducting quantitative and qualitative value-free research with integrity
        • Providing reliable, valid and credible findings
    • CUnit: RM4 Writing an academic paper, article or thesis (0)

      Explain the various ways to author a paper, article or thesis

      • Topic RM4-1 (0)
        • Critical analysis of the results emanating from the research; Writing up the research dissertation; Application of recognised referencing methods; Undertaking study at an advanced level; Critical analysis of the results emanating from the research
  • Unit: OI Business and Project management (6)