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Fitting Ecological Process Models to Spatial Patterns Using Scalewise Variances and Moment Equations

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dc.contributor.author Detto, Matteo en
dc.contributor.author Muller-Landau, Helene C. en
dc.date.accessioned 2014-07-15T12:52:14Z
dc.date.available 2014-07-15T12:52:14Z
dc.date.issued 2013
dc.identifier.citation Detto, Matteo and Muller-Landau, Helene C. 2013. "<a href="https%3A%2F%2Frepository.si.edu%2Fhandle%2F10088%2F21994">Fitting Ecological Process Models to Spatial Patterns Using Scalewise Variances and Moment Equations</a>." <em>American Naturalist</em>. 181 (4):E68&ndash;E82. <a href="https://doi.org/10.1086/669678">https://doi.org/10.1086/669678</a> en
dc.identifier.issn 0003-0147
dc.identifier.uri http://hdl.handle.net/10088/21994
dc.description.abstract Abstract Ecological spatial patterns are structured by a multiplicity of processes acting over a wide range of scales. We propose a new method, based on the scalewise variance-that is, the variance as a function of spatial scale, calculated here with wavelet kernel functions-to disentangle the signature of processes that act at different and similar scales on observed spatial patterns. We derive exact and approximate analytical solutions for the expected scalewise variance under different individual-based, spatially explicit models for sessile organisms (e.g., plants), using moment equations. We further determine the probability distribution of independently observed scalewise variances for a given expectation, including complete spatial randomness. Thus, we provide a new analytical test of the null model of spatial randomness to understand at which scales, if any, the variance departs significantly from randomness. We also derive the likelihood function that is needed to estimate parameters of spatial models and their uncertainties from observed patterns. The methods are demonstrated through numerical examples and case studies of four tropical tree species on Barro Colorado Island, Panama. The methods developed here constitute powerful new tools for investigating effects of ecological processes on spatial point patterns and for statistical inference of process models from spatial patterns. en
dc.relation.ispartof American Naturalist en
dc.title Fitting Ecological Process Models to Spatial Patterns Using Scalewise Variances and Moment Equations en
dc.type Journal Article en
dc.identifier.srbnumber 114960
dc.identifier.doi 10.1086/669678
rft.jtitle American Naturalist
rft.volume 181
rft.issue 4
rft.spage E68
rft.epage E82
dc.description.SIUnit STRI en
dc.description.SIUnit Peer-reviewed en
dc.citation.spage E68
dc.citation.epage E82


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