Fractal Analysis of Multiscale Spatial Autocorrelation among Point Data

Dados Bibliográficos

ID4138972
AutoresLee De Cola (0000-0002-3606-057X, United States Geological Survey, autor correspondente)
Ano1991
Volume23
Fascículo4
Páginas545-556
Data de publicação1991-04-01
Peer ReviewedSim
Open AccessSim
TipoARTICLE
PeriódicoEnvironment and Planning A Economy and Space (JOURNAL)
Identificadores do periódicoISSN: 0308-518X • E-ISSN: 1472-3409
EditoraSAGE Publications Inc (PUBLISHER)
DOI10.1068/a230545
OpenAlexW2110961454
IdiomaEN
Citações recebidas2
Referências citadas32

The analysis of spatial autocorrelation among point-data quadrats is a well-developed technique that has made limited but intriguing use of the multiscale aspects of pattern. In this paper are presented theoretical and algorithmic approaches to the analysis of aggregations of quadrats at or above a given density, in which these sets are treated as multifractal regions whose fractal dimension, D, may vary with phenomenon intensity, scale, and location. The technique is illustrated with Matui's quadrat house-count data, which yield measurements consistent with a nonautocorrelated simulated Poisson process but not with an orthogonal unit-step random walk. The paper concludes with a discussion of the implications of such analysis for multiscale geographic analysis systems

Autocorrelation · Autocorrelation technique · Fractal · Fractal analysis · Fractal dimension · Geometry · Mathematical analysis · Multifractal system · Physics · Point process · Poisson distribution · Poisson point process · Quadrat · Spatial analysis · Statistical physics · Statistics · Transect · Cellular Automata and Applications · Land Use and Ecosystem Services · Mathematics · Soil Geostatistics and Mapping · Geology