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Multistate models for monitoring individual trees in permanent observation plots
Authors:W. Urfer  F. H. Schwarzenbach  J. Kötting  P. Müller
Affiliation:(1) Department of Statistics, University of Dortmund, D-44221 Dortmund, Germany
Abstract:This interdisciplinary research on forest ecosystems begins with some characteristics of ecosystems which are the basis for the derivation of statistical models for the development and vitality of trees. Several ecological problems which could be solved by longitudinal studies are mentioned. Statistical methods for the evaluation of the crowns of spruce trees (Picea abies Karst) in three permanent observation plots in Switzerland are described. In particular, the time-dependent proportional odds model and a transitional model are used. Through application of these multistate models the data give information on the dependence of an ordered categorical response variable on covariates characterizing the ecosystem. The response variable is observed through infrared aerial photographs. This monitoring system gives insight into the dynamic behaviour of the forest ecosystem. The need for more eco-systematically motivated statistical research using longitudinal studies is identified.
Keywords:Causality  ecosystems  forest decline  infrared aerial photographs  longitudinal study  proportional odds model  score data  time-dependent covariates  transitional models
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