Testing randomness of spatial pattern using Eberhardt's index

Autor:	S.R. Deshmukh, V. R. Prayag
Rok vydání:	2000
Předmět:	Statistics and Probability Multivariate statistics Complete spatial randomness Ecological Modeling Statistics Spatial ecology Asymptotic distribution Common spatial pattern Statistic Randomness Mathematics Central limit theorem
Zdroj:	Environmetrics. 11:571-582
ISSN:	1099-095X 1180-4009
DOI:	10.1002/1099-095x(200009/10)11:5<571::aid-env455>3.0.co;2-6
Popis:	In the literature on spatial point patterns, the distribution of Eberhardt's index is obtained empirically. In this paper, using multivariate central limit theorem, the asymptotic distribution of Eberhardt's statistic is obtained in three spatial patterns viz., random, aggregated and regular. Based on these, tests of randomness are developed for detecting the type of spatial pattern. Powers of these tests under both aggregated and regular alternatives are evaluated. The tests are powerful under various degrees of aggregation and regularity.
Databáze:	OpenAIRE
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