Population dynamic models generating the lognormal species abundance distribution - PubMed (original) (raw)
Population dynamic models generating the lognormal species abundance distribution
S Engen et al. Math Biosci. 1996 Mar.
Abstract
This paper deals with a new class of stochastic species abundance models where the abundances are the points of an inhomogeneous Poisson process. These models are the result of a dynamic approach in which the changes in abundances through time are described by a multivariate diffusion and speciation constitutes a homogeneous Poisson process. In particular, the lognormal model is generated by assuming that the density regulation within each species is given by the Gompertz curve and that the environmental variances are constant. A substantial generalization is obtained by introducing a general type of interspecific density regulation and correlated environmental noise. This more general mechanism also generates the lognormal species abundance distribution.
Similar articles
- Species diversity and community similarity in fluctuating environments: parametric approaches using species abundance distributions.
Sæther BE, Engen S, Grøtan V. Sæther BE, et al. J Anim Ecol. 2013 Jul;82(4):721-38. doi: 10.1111/1365-2656.12068. Epub 2013 Apr 11. J Anim Ecol. 2013. PMID: 23578202 Review. - Heterogeneous communities with lognormal species abundance distribution: Species-area curves and sustainability.
Engen S. Engen S. J Theor Biol. 2007 Dec 21;249(4):791-803. doi: 10.1016/j.jtbi.2007.09.005. Epub 2007 Sep 12. J Theor Biol. 2007. PMID: 17936307 - A General and Dynamic Species Abundance Model, Embracing the Lognormal and the Gamma Models.
Diserud OH, Engen S. Diserud OH, et al. Am Nat. 2000 Apr;155(4):497-511. doi: 10.1086/303339. Am Nat. 2000. PMID: 10753077 - Bringing consistency to simulation of population models--Poisson simulation as a bridge between micro and macro simulation.
Gustafsson L, Sternad M. Gustafsson L, et al. Math Biosci. 2007 Oct;209(2):361-85. doi: 10.1016/j.mbs.2007.02.004. Epub 2007 Feb 28. Math Biosci. 2007. PMID: 17412368 - Heterogeneity in dynamic species abundance models: the selective effect of extinction processes.
Engen S. Engen S. Math Biosci. 2007 Dec;210(2):490-507. doi: 10.1016/j.mbs.2007.06.002. Epub 2007 Jun 10. Math Biosci. 2007. PMID: 17662310
Cited by
- The rate of species extinction in declining or fragmented ecological communities.
Halley JM, Pimm SL. Halley JM, et al. PLoS One. 2023 Jul 12;18(7):e0285945. doi: 10.1371/journal.pone.0285945. eCollection 2023. PLoS One. 2023. PMID: 37437089 Free PMC article. - Niche-Based Microbial Community Assemblage in Urban Transit Systems and the Influence of City Characteristics.
Xiong G, Ji L, Cheng M, Ning K. Xiong G, et al. Microbiol Spectr. 2023 Mar 14;11(2):e0016723. doi: 10.1128/spectrum.00167-23. Online ahead of print. Microbiol Spectr. 2023. PMID: 36916942 Free PMC article. - Intraspecies characterization of bacteria via evolutionary modeling of protein domains.
Budimir I, Giampieri E, Saccenti E, Suarez-Diez M, Tarozzi M, Dall'Olio D, Merlotti A, Curti N, Remondini D, Castellani G, Sala C. Budimir I, et al. Sci Rep. 2022 Oct 5;12(1):16595. doi: 10.1038/s41598-022-21036-3. Sci Rep. 2022. PMID: 36198716 Free PMC article. - A general framework for species-abundance distributions: Linking traits and dispersal to explain commonness and rarity.
Koffel T, Umemura K, Litchman E, Klausmeier CA. Koffel T, et al. Ecol Lett. 2022 Nov;25(11):2359-2371. doi: 10.1111/ele.14094. Epub 2022 Sep 14. Ecol Lett. 2022. PMID: 36106355 Free PMC article. - Analyzing dynamic species abundance distributions using generalized linear mixed models.
Solbu EB, van der Veen B, Herfindal I, Hovstad KA. Solbu EB, et al. Ecology. 2022 Sep;103(9):e3742. doi: 10.1002/ecy.3742. Epub 2022 Jun 23. Ecology. 2022. PMID: 35560064 Free PMC article.