Analyzing spatial structure of communities using the two-dimensional poisson lognormal species abundance model

The American Naturalist
Steinar EngenPhilip J DeVries

Abstract

The joint spatial and temporal fluctuations in the community structure of tropical butterflies are analyzed by fitting the bivariate Poisson lognormal distribution to a large number of observations in space and time. By applying multivariate dependent diffusions for describing the fluctuations in the abundances, the environmental variance is estimated to be very large and so is the strength of local density regulation. The variance in the lognormal species abundance distribution is partitioned into components expressing the heterogeneity between the species, independent noise components for the different species, a demographic stochastic component, and a component due to overdispersion in the sampling. In disagreement with the neutral theory, the estimates show that the heterogeneity component is the dominating one, representing 81% of the total variance in the lognormal model. Different spatial components of diversity, the alpha, beta, and gamma diversity, are also estimated. The spatial scale of the autocorrelation function for the community is of order 1 km, while sampling of a quadrat would need to be 10 km on a side to yield the total diversity for the community.

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Citations

May 24, 2005·Mathematical Biosciences·Steinar EngenHenri Weimerskirch
Nov 2, 2005·Proceedings of the National Academy of Sciences of the United States of America·Brian J McGillBrian A Maurer
Jun 10, 2014·Proceedings of the National Academy of Sciences of the United States of America·Sean R ConnollyRobin S Wilson
Jun 7, 2005·The American Naturalist·Sean R Connolly
Mar 8, 2013·Journal of Theoretical Biology·Joshua GreeneGrzegorz A Rempala
Nov 12, 2014·Journal of Bioinformatics and Computational Biology·Jun WuZhifeng Shao
Sep 27, 2015·Journal of Theoretical Biology·Tak FungRyan A Chisholm
Jul 12, 2008·Ecology Letters·Maria Dornelas, Sean R Connolly
Nov 19, 2011·The Journal of Animal Ecology·Philip J DevriesJames A Fordyce
Feb 3, 2012·The Journal of Animal Ecology·Vidar GrøtanPhil J DeVries
Oct 20, 2010·Journal of Theoretical Biology·Grzegorz A RempalaLeszek Ignatowicz
May 27, 2016·Journal of Mathematical Biology·Tak FungRyan A Chisholm
Jul 10, 2016·Theoretical Population Biology·Erik Blystad SolbuOla Håvard Diserud
Mar 3, 2017·Ecology Letters·Sean R ConnollyDavid R Bellwood
Nov 26, 2015·Science Advances·John Alroy
Aug 12, 2018·Scientific Reports·Surendran Harikrishnan, Karthikeyan Vasudevan
Nov 29, 2017·The American Journal of Tropical Medicine and Hygiene·Kathryn L ColbornTerence P Speed
Mar 20, 2018·Scientific Reports·Markus MajanevaTorbjørn Ekrem
Jun 25, 2020·Scientific Reports·Hans Ter SteegeGeorgia Pickavance
Aug 31, 2021·Ecology·Jonatan F MarquezAline Magdalena Lee

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