Spatial Data Models

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vector-data raster-data spatial-data data-models

Core Idea

Spatial data represents geographic features using two fundamental models. The vector model represents discrete features as points, lines, and polygons defined by coordinate pairs, with associated attribute tables -- ideal for boundaries, networks, and discrete objects (buildings, roads, parcels). The raster model represents continuous phenomena as regular grids of cells (pixels), each storing a value -- ideal for elevation, temperature, satellite imagery, and any field that varies continuously across space. Choosing between vector and raster (or combining both) depends on the nature of the phenomenon, the analysis to be performed, and the required precision of boundary representation.

Explainer

The choice of spatial data model is the first and most consequential decision in any GIS project, because it determines what analyses are possible, how storage and processing scale, and how accurately the real world is represented.

The vector model excels at representing discrete features with well-defined boundaries. A land parcel is naturally a polygon with precise coordinates; a road is naturally a line; a fire hydrant is naturally a point. Each feature links to a row in an attribute table, making vector data ideal for database-style queries ("select all parcels zoned commercial with area over 1 hectare"). Common vector formats include Shapefile, GeoJSON, GeoPackage, and features stored in spatial databases (PostGIS, SpatiaLite).

The raster model excels at representing continuous phenomena -- elevation, temperature, precipitation, satellite imagery, land cover probability. Each cell in the grid stores a single value, and the grid's resolution (cell size) determines the spatial detail. Raster data is computationally efficient for map algebra -- cell-by-cell mathematical operations like adding two layers, computing slope from elevation, or creating NDVI from red and NIR bands. Common raster formats include GeoTIFF, NetCDF, and cloud-optimized GeoTIFF (COG).

Many analyses combine both models. A flood analysis might use a raster DEM for hydrological modeling, then convert the inundation boundary to a vector polygon for overlay with vector parcel data to identify affected properties. Remote sensing classification produces raster land cover maps that are often vectorized for integration with administrative boundaries. Understanding the strengths, limitations, and conversion pathways between vector and raster is essential for effective GIS work.

Practice Questions 3 questions

Prerequisite Chain

Counting to 10Counting to 20Understanding ZeroThe Number ZeroCounting to FiveOne-to-One CorrespondenceCombining Small Groups Within 5Addition Within 10Addition Within 20Two-Digit Addition Without RegroupingTwo-Digit Addition with RegroupingAddition Within 100Repeated Addition as MultiplicationMultiplication Facts Within 100Division as Equal SharingDivision as Grouping (Measurement Division)Division: Grouping (Repeated Subtraction) ModelDivision: Fair Sharing ModelDivision as Equal SharingDivision as GroupingBasic Division FactsDivision Facts Within 100Two-Digit by One-Digit DivisionDivision with RemaindersRemainders and Quotients in DivisionDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueReading and Writing DecimalsComparing and Ordering DecimalsAdding and Subtracting DecimalsMultiplying DecimalsDividing DecimalsDividing FractionsMixed Number ArithmeticOrder of OperationsInteger Order of OperationsVariable ExpressionsCombining Like TermsOne-Step EquationsTwo-Step EquationsSolving Multi-Step EquationsEquations with Variables on Both SidesAngle Pairs: Complementary, Supplementary, and VerticalParallel Lines and TransversalsCorresponding AnglesAlternate Interior AnglesTriangle Angle Sum TheoremExterior Angle TheoremTriangle Inequality TheoremSimilar Triangles: AA SimilaritySimilar Triangles: SSS and SAS SimilarityProportions in Similar TrianglesRight Triangle Trigonometry IntroductionTrigonometric Ratios ReviewRadian MeasureConverting Between Degrees and RadiansThe Unit CircleGraphing Sine and CosineGraphing Tangent and Reciprocal Trigonometric FunctionsDerivatives of Trigonometric FunctionsAntiderivativesIterated Integrals and Fubini's TheoremDouble Integrals in Cartesian CoordinatesDouble Integrals over Rectangular RegionsDouble Integrals in Polar CoordinatesDouble Integrals: Definition and SetupIterated Integrals and Fubini's TheoremDouble Integrals over Rectangular RegionsDouble Integrals over General RegionsApplications of Double Integrals: Area, Mass, and MomentsTriple Integrals in Cartesian CoordinatesTriple Integrals in Cylindrical and Spherical CoordinatesChange of Variables and the Jacobian DeterminantApplications of Triple Integrals: Volume and MassVector Fields and Their RepresentationsLine Integrals of Vector FieldsGreen's TheoremSurface Integrals and Flux of Vector FieldsSurface Integrals and Flux of Vector FieldsDivergence Theorem: Flux and OutflowDivergence TheoremElectric FluxGauss's LawConductors in Electrostatic EquilibriumCapacitance and CapacitorsDielectricsDielectric Constant and Relative PermittivityElectric Field Inside Dielectric MaterialsDielectric Materials and PolarizationDielectric Susceptibility and PermittivityEnergy Density in Electric FieldsElectric Current and Current DensityElectrical Resistance and ResistivityOhm's Law and Circuit ElementsElectromotive Force (EMF) and BatteriesKirchhoff's Circuit Laws: Voltage and CurrentDC Circuit Network Analysis MethodsTransient Response in RC CircuitsRC CircuitsLC and RLC CircuitsAC Circuits: FundamentalsImpedance and ReactanceAC Power and ResonanceElectromagnetic WavesThe Electromagnetic SpectrumElectromagnetic Spectrum for Remote SensingCoordinate Systems and Map ProjectionsGIS FundamentalsSpatial Data Models

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