GISI Foundation study materials
GISI Foundation study resources

GISI Foundation cheat sheet

GISI Foundation · Keep the key ideas within reach.

Quick reference

GIS and Spatial Data Fundamentals

  • Vector data represents discrete features as points, lines, and polygons; raster data represents continuous fields as a grid of cells, each holding one attribute value.

  • Topology records spatial relationships (adjacency, connectivity, containment) independently of coordinates, enabling network tracing and polygon neighbor queries without recomputation.

  • Raster resolution is the ground size of one cell; halving cell size quadruples cell count and storage, so resolution choice trades precision against volume.

  • Vector storage scales with vertex count, raster storage with cell count; a coarse raster of a large extent can exceed a detailed vector layer in size.

  • Discrete objects suit vector models (parcels, pipes); continuous phenomena (elevation, temperature, reflectance) suit raster models.

  • A TIN stores terrain as irregular triangles with vertices at measured points, preserving breaklines better than a fixed grid of the same point budget.

  • Scale is the ratio of map distance to ground distance; large-scale maps (1:1,000) show small areas in high detail, small-scale maps (1:1,000,000) the reverse.

  • Feature geometry types are fixed per layer in most formats; mixing points and polygons in one layer complicates symbology, queries, and overlay operations.

Quick reference

Spatial Reference Systems, Projections, and Coordinate Geometry

  • A geographic coordinate system (GCS) locates positions on a datum-defined ellipsoid in degrees; a projected coordinate system (PCS) applies a map projection to express positions in linear units on a plane.

  • A datum pairs an ellipsoid with an origin and orientation; WGS84 and NAD83 differ by roughly 1-2 m in North America, enough to matter at large scales.

  • Transformations between datums require published parameters and introduce error; reprojection between projections on the same datum is exact mathematics.

  • Conformal projections preserve local angles and shapes (Mercator, Transverse Mercator, Lambert Conformal Conic); equal-area projections preserve area (Albers, Lambert Azimuthal Equal-Area).

  • No projection preserves shape, area, distance, and direction simultaneously; choose by the measurement the analysis depends on.

  • UTM divides the globe into 60 zones of 6 degrees longitude, each a Transverse Mercator with a central meridian scale factor of 0.9996.

  • Web Mercator (EPSG:3857) uses spherical formulas on WGS84 coordinates; it is convenient for tiling but unsuitable for area or distance measurement.

  • Distance in a GCS is angular (degrees); computing Euclidean length on unprojected coordinates yields meaningless units, so project before measuring.

Quick reference

Spatial Data Models, Structures, and Database Concepts

  • A spatial database stores geometry as a native type with a spatial index (R-tree or grid) so bounding-box and topological predicates run without full table scans.

  • The OGC Simple Features model defines geometry types (Point, LineString, Polygon, MultiPolygon) and predicates such as ST_Intersects, ST_Contains, and ST_Within.

  • ST_Within(A, B) and ST_Contains(B, A) are equivalent; ST_Intersects is symmetric; ST_Touches excludes overlap of interiors.

  • Normalization removes redundancy in attribute tables; geometry columns stay denormalized as single objects, so spatial and attribute design are tuned separately.

  • A spatial index accelerates filter steps but not exact geometry tests; queries run index filter first, then precise predicate on candidates.

  • File geodatabases and PostGIS both enforce geometry type and spatial reference per layer; shapefiles store one geometry type, lack true curves, and cap field names at 10 characters.

  • GeoJSON stores coordinates as longitude-latitude arrays in WGS84 and supports only 2D geometry; topology is not encoded, so shared boundaries are duplicated.

  • A join table keyed on a stable identifier links attributes to geometry; keying on geometry itself breaks when coordinates are edited or reprojected.

Quick reference

Spatial Analysis and Geoprocessing Methods

  • Overlay operations: clip cuts input to a boundary; intersect keeps overlapping areas of both layers; union keeps all areas; erase removes the second layer's area from the first.

  • Buffer distance is measured in the layer's coordinate units; buffering in a GCS produces distorted rings, so project first or use a geodesic buffer.

  • Spatial join transfers attributes by a spatial relationship (intersects, contains, nearest) and can produce one-to-many output rows unless a match option limits it.

  • Dissolve merges features sharing attribute values and can compute aggregate statistics; it is the standard step before area or length summarization.

  • Slope and aspect derive from the gradient of a DEM; slope is the magnitude of the gradient, aspect its compass direction, and flat cells have undefined aspect.

  • Viewshed analysis marks cells visible from an observer point given elevation and earth curvature; output is binary visibility, not distance.

  • Kriging, inverse distance weighting, and spline interpolate surfaces from sample points; IDW is exact at samples and produces bull's-eye artifacts, kriging models spatial autocorrelation.

  • Raster map algebra applies cell-by-cell expressions across aligned grids; misaligned extents or cell sizes require resampling, which alters values.

Quick reference

Cartographic Design, Visualization, and Map Production

  • Visual hierarchy orders elements by contrast and size so the title and main data read first, supporting layers second, marginalia last.

  • Color schemes follow data type: sequential for ordered data, diverging for data around a meaningful midpoint, qualitative for unordered categories.

  • Choropleth maps encode rates or ratios, never raw counts, because area differences otherwise dominate the pattern.

  • Classification methods (equal interval, quantile, natural breaks, standard deviation) change the same data's appearance; state the method in the legend.

  • Map scale, north arrow, legend, and data source are required map elements; a representative fraction states scale independent of unit.

  • Label placement rules: avoid overlap with features and other labels, follow line curvature, keep text upright, and prioritize by feature importance.

  • Figure-ground contrast separates the data layer from the basemap; muting basemap saturation and value pushes it behind thematic content.

  • Layout resolution for print is typically 300 dpi; screen products use 72-96 dpi and RGB, print uses CMYK, and conversion shifts saturated colors.

Quick reference

Data Quality, Metadata, Standards, and Governance

  • Spatial data quality elements include positional accuracy, attribute accuracy, logical consistency, completeness, and temporal accuracy.

  • Root mean square error summarizes positional error against checkpoints; it does not bound maximum error, so report sample size and method too.

  • Metadata records lineage, accuracy, projection, contact, and use constraints; ISO 19115 is the international geospatial metadata standard.

  • FGDC Content Standard for Digital Geospatial Metadata is the US predecessor to ISO 19115; the ISO standard is now generally preferred for new work.

  • A data dictionary defines field names, types, domains, and null rules; it prevents semantic drift when layers pass between teams.

  • Governance assigns data ownership, stewardship, access rules, and review cadence; without an owner, updates and corrections stall.

  • Lineage documents source data, processing steps, and parameters so results can be reproduced and errors traced to their origin.

  • Version control for spatial data should record geometry and attribute changes with timestamps; overwriting files in place destroys audit trails.

Quick reference

GIS Professional Practice, Ethics, and Project Workflow

  • A GIS project lifecycle runs needs assessment, data acquisition, database design, analysis, product delivery, and maintenance; skipping maintenance shortens data lifespan.

  • Requirements define the decision the map supports; deliverable format, accuracy, and scale follow from that decision, not from available data.

  • Positional accuracy requirements should match the smallest feature or decision threshold; over-specifying accuracy raises cost without benefit.

  • Ethical practice requires disclosing data limitations, protecting locational privacy of individuals, and not presenting derived estimates as measurements.

  • Licensing governs redistribution: some datasets permit derived products, others restrict sharing; check terms before publishing maps built on them.

  • Reproducibility requires recording software versions, tool parameters, and input dataset versions alongside outputs.

  • Documented quality assurance includes independent checkpoint validation, topology checks, and review of symbology against the data classification.

  • Stakeholder review at each milestone reduces rework; late discovery of a wrong extent or classification forces full redo of maps and analysis.