Unlimited analysis of distance relations

This unit is dedicated to the analysis of distances between spatial objects. Unrestricted means that no spatial restraints (such as transport network, topography or settlement area, which could constrain the spatial distance between objects) are taken into account. If information is missing, it can be very useful to perform the analysis without predefined conditions.
The term proximity is quite imprecise. It can be replaced with more qualitative terms such as "near", "far" or "in the neighborhood of". The term "proximity" has to be objectified and operationalized in order to use it in a GIS. For this reason, a distance concept is needed, such as the Euclidean distance or the travel time (cf. unit 1 Space, Object and Distance Relation). In the second step, the unit for "proximity" has to be defined interpretatively. There exist more appropriate and less appropriate units, but none of them is right or wrong. It is therefore important that the neighborhood relations are well and reasonably defined. Illustration 1 object B is large, and its neighborhood is mainly determinate by large objects. Object A (illustration 2) is smaller and located in a different neighborhood, mainly determined by local and small objects. It is evident, that A belongs to the local environment of B, B be is not necessarily part of A’s environment.

Distanz und Nähe  ist                 kontextabhängig und nicht symmetrischDistanz und Nähe ist kontextabhängig und nicht symmetrisch (Worboys 1996)
Distanz und Nähe  ist                 kontextabhängig und nicht symmetrischDistanz und Nähe ist kontextabhängig und nicht symmetrisch (Worboys 1996)

In the proximity analysis and the analysis of neighborhood, the catchment areas and areas of influence related to supply and demand are of interest. Frequent questions in this context: