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  2. Tobler's first law of geography - Wikipedia

    en.wikipedia.org/wiki/Tobler's_first_law_of...

    Waldo Tobler in front of the Newberry Library. Chicago, November 2007. The First Law of Geography, according to Waldo Tobler, is "everything is related to everything else, but near things are more related than distant things." [1] This first law is the foundation of the fundamental concepts of spatial dependence and spatial autocorrelation and is utilized specifically for the inverse distance ...

  3. Spatial analysis - Wikipedia

    en.wikipedia.org/wiki/Spatial_analysis

    Local spatial autocorrelation statistics provide estimates disaggregated to the level of the spatial analysis units, allowing assessment of the dependency relationships across space. G {\displaystyle G} statistics compare neighborhoods to a global average and identify local regions of strong autocorrelation.

  4. Modifiable areal unit problem - Wikipedia

    en.wikipedia.org/wiki/Modifiable_areal_unit_problem

    MAUP can be used as an analytical tool to help understand spatial heterogeneity and spatial autocorrelation. This topic is of particular importance because in some cases data aggregation can obscure a strong correlation between variables, making the relationship appear weak or even negative. Conversely, MAUP can cause random variables to appear ...

  5. Geary's C - Wikipedia

    en.wikipedia.org/wiki/Geary's_C

    Geary's C is a measure of spatial autocorrelation that attempts to determine if observations of the same variable are spatially autocorrelated globally (rather than at the neighborhood level). Spatial autocorrelation is more complex than autocorrelation because the correlation is multi-dimensional and bi-directional.

  6. Moran's I - Wikipedia

    en.wikipedia.org/wiki/Moran's_I

    The value of can depend quite a bit on the assumptions built into the spatial weights matrix .The matrix is required because, in order to address spatial autocorrelation and also model spatial interaction, we need to impose a structure to constrain the number of neighbors to be considered.

  7. Boundary problem (spatial analysis) - Wikipedia

    en.wikipedia.org/wiki/Boundary_problem_(spatial...

    In spatial analysis, four major problems interfere with an accurate estimation of the statistical parameter: the boundary problem, scale problem, pattern problem (or spatial autocorrelation), and modifiable areal unit problem. [1] The boundary problem occurs because of the loss of neighbours in analyses that depend on the values of the neighbours.

  8. Data model (GIS) - Wikipedia

    en.wikipedia.org/wiki/Data_model_(GIS)

    Because the world is much more complex than can be represented in a computer, all geospatial data are incomplete approximations of the world. [9] Thus, most geospatial data models encode some form of strategy for collecting a finite sample of an often infinite domain, and a structure to organize the sample in such a way as to enable interpolation of the nature of the unsampled portion.

  9. Indicators of spatial association - Wikipedia

    en.wikipedia.org/wiki/Indicators_of_spatial...

    Indicators of spatial association are statistics that evaluate the existence of clusters in the spatial arrangement of a given variable. For instance, if we are studying cancer rates among census tracts in a given city local clusters in the rates mean that there are areas that have higher or lower rates than is to be expected by chance alone; that is, the values occurring are above or below ...