distance decay
[spatial analysis] A mathematical representation of the effect of distance on the accessibility of locations and the number of interactions between them, reflecting the notion that demand drops as distance increases.
Distance decay The diminishing level of interaction or value of a variable with increasing distance largely resulting from the effect of various forms of distance-sensitive transaction costs on demand or cost patterns or functions.
The ACCESSIBILITY command computes values for accessibility as a function of the distance between locations and an empirically derived distance decay parameter.
distance of spatial correlation (value = 0.0, default [0.0]) exponent=float Input value: distance decay exponent (value 0.0), default [1.0]) flat=float Input value: distance filter remains flat before beginning exponent, default [0.
From a truth map, autocorrelation properties--the maximum distance of spatial dependence and the distance decay exponent--are developed for each land cover class.
- Elridge, J. and J.Jones, 1991. "Warped Space: A Geography of Distance Decay," Professional Geographer, 43(4): 500-511.
accessibilityAn aggregate measure of how reachable locations are from a given location. The ACCESSIBILITY command computes values for accessibility as a function of the distance between locations and an empirically derived distance decay ...
This is related to Tobler's first law of geography, which states that Everything depends on everything else, but closer things more so - in other words, the law implies a spatial distance decay function, ...
 See also: Model, Relation, Geographic, Location, Map
  
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