Book Section
Non-Euclidean Distances in Point Pattern Analysis: Anisotropic Measures for the Study of Settlement Networks in Heterogeneous Regions
- Title
- Non-Euclidean Distances in Point Pattern Analysis: Anisotropic Measures for the Study of Settlement Networks in Heterogeneous Regions
- Date
- 2015
- Pages
- 369-382
- Language
- eng
- Publisher
- CRC Press
- Place Published
- Boca Raton
- ISBN
- 978-1-4822-2681-2
- Short Title
- Non-Euclidean Distances in Point Pattern Analysis
- Abstract
- In the statistical analysis of spatial point patterns, stationarity is often assumed to mean that the spatial point process has constant intensity and uniform correlation depending only on the lag vector between pairs of points. In other words, it is assumed that the correlation between the elements of a spatial distribution is a function of the Euclidean distance between them. This framework has been vastly used in Spatial Analysis to describe settlement processes, taking into account a homogenous and undifferentiated surface that is easy to generalise. These assumptions fail when we consider the historical and economical dynamics that took place in space.
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