On the growth of locally interacting plants: differential equations for the dynamics of spatial moments

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dc.contributor.authorAdams TP
dc.contributor.authorHolland EP
dc.contributor.authorLaw R
dc.contributor.authorRaghib M
dc.contributor.authorPlank, Michael
dc.date.accessioned2021-04-07T02:46:03Z
dc.date.available2021-04-07T02:46:03Z
dc.date.issued2013en
dc.date.updated2021-03-31T22:25:58Z
dc.description.abstractEcologists are faced with the challenge of how to scale up from the activities of individual plants and animals to the macroscopic dynamics of populations and communities. It is especially difficult to do this in communities of plants where the fate of individuals depends on their immediate neighbors rather than an average over a larger region. This has meant that algorithmic, agent-based models are typically used to understand their dynamics, although certain macroscopic models have been developed for neighbor-dependent, birth- death processes. Here we present a macroscopic model that, for the first time, incorporates explicit, gradual, neighbor-dependent plant growth, as a third fundamental process of plant communities. The model is derived from a stochastic, agent-based model, and describes the dynamics of the first and second spatial moments of a multispecies, spatially structured plant community with neighbor-dependent growth, births, and deaths. A simple example shows that strong neighborhood space-filling during tree growth in an even-aged stand of Scots pine is well captured by the spatial-moment model. The space-filling has a spatial signature consistent with that observed in several field studies of forests. Small neighborhoods of interaction, nonuniform spacing of trees, and asymmetric competition all contribute to the buildup of a wide range of tree sizes with some large dominant individuals and many smaller ones. © 2013 by the Ecological Society of America.en
dc.identifier.citationAdams TP, Holland EP, Law R, Plank MJ, Raghib M (2013). On the growth of locally interacting plants: differential equations for the dynamics of spatial momentsOn the growth of locally interacting plants: differential equations for the dynamics of spatial moments. Ecology. 94(12). 2732-2743.en
dc.identifier.doihttp://doi.org/10.1890/13-0147.1
dc.identifier.issn0012-9658
dc.identifier.issn1939-9170
dc.identifier.urihttps://hdl.handle.net/10092/101786
dc.languageEnglish
dc.language.isoen
dc.publisherECOLOGICAL SOC AMERen
dc.rightsAll rights reserved unless otherwise stateden
dc.rights.urihttp://hdl.handle.net/10092/17651en
dc.subjectEcologyen
dc.subjectindividual-based modelen
dc.subjectPinus sylvestrisen
dc.subjectplant growthen
dc.subjectpopulation dynamicsen
dc.subjectspatial interactionen
dc.subjectspatial-moment dynamicsen
dc.subjectspatial patternen
dc.subjectstochastic modelen
dc.subjecttree stand developmenten
dc.subjectFOREST STRUCTURESen
dc.subjectPINE FORESTen
dc.subjectCOMPETITIONen
dc.subjectMODELen
dc.subjectSIZEen
dc.subjectTREESen
dc.subjectPATTERNSen
dc.subjectPOPULATIONSen
dc.subjectDISTANCEen
dc.subjectCANOPYen
dc.subject.anzsrc0501 Ecological Applicationsen
dc.subject.anzsrc0602 Ecologyen
dc.subject.anzsrc0603 Evolutionary Biologyen
dc.subject.anzsrcField of Research::06 - Biological Sciences::0602 - Ecology::060207 - Population Ecologyen
dc.subject.anzsrcField of Research::06 - Biological Sciences::0602 - Ecology::060202 - Community Ecologyen
dc.subject.anzsrcField of Research::01 - Mathematical Sciences::0102 - Applied Mathematics::010202 - Biological Mathematicsen
dc.titleOn the growth of locally interacting plants: differential equations for the dynamics of spatial momentsen
dc.typeJournal Articleen
uc.collegeFaculty of Engineering
uc.departmentMathematics and Statistics
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