Species assembly in model ecosystems, II: Results of the assembly process

e-Archivo Repository

Show simple item record

dc.contributor.author Capitán, José A.
dc.contributor.author Cuesta, José A.
dc.contributor.author Bascompte, Jordi
dc.date.accessioned 2011-05-16T14:47:04Z
dc.date.available 2011-05-16T14:47:04Z
dc.date.issued 2011-01
dc.identifier.bibliographicCitation Journal of Theoretical Biology (2011), 269 (1), 344-355
dc.identifier.issn 0022-5193
dc.identifier.uri http://hdl.handle.net/10016/11088
dc.description.abstract Recently we have introduced a simplified model of ecosystem assembly (Capitán et al., 2009) for which we are able to map out all assembly pathways generated by external invasions in an exact manner. In this paper we provide a deeper analysis of the model, obtaining analytical results and introducing some approximations which allow us to reconstruct the results of our previous work. In particular, we show that the population dynamics equations of a very general class of trophic-level structured food-web have an unique interior equilibrium point which is globally stable. We show analytically that communities found as end states of the assembly process are pyramidal and we find that the equilibrium abundance of any species at any trophic level is approximately inversely proportional to the number of species in that level. We also find that the per capita growth rate of a top predator invading a resident community is key to understand the appearance of complex end states reported in our previous work. The sign of these rates allows us to separate regions in the space of parameters where the end state is either a single community or a complex set containing more than one community. We have also built up analytical approximations to the time evolution of species abundances that allow us to determine, with high accuracy, the sequence of extinctions that an invasion may cause. Finally we apply this analysis to obtain the communities in the end states. To test the accuracy of the transition probability matrix generated by this analytical procedure for the end states, we have compared averages over those sets with those obtained from the graph derived by numerical integration of the Lotka–Volterra equations. The agreement is excellent.
dc.description.sponsorship This work is funded by projects MOSAICO, from Ministerio de Educación y Ciencia (Spain) and MODELICO CM, from Comunidad Autónoma de Madrid (Spain). J.A. Capitán also acknowledges financial support through a contract from Consejería de Educación of Comunidad de Madrid and Fondo Social Europeo. J.B. is funded by the European Heads of Research Councils, the European Science Foundation, and the EC Sixth Framework Programme through a EURYI (European Young Investigator) Award.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher Elsevier
dc.rights © Elsevier
dc.subject.other Community assembly
dc.subject.other Lotka–Volterra equations
dc.subject.other Dynamic stability
dc.title Species assembly in model ecosystems, II: Results of the assembly process
dc.type article
dc.description.status Publicado
dc.relation.publisherversion http://dx.doi.org/10.1016/j.jtbi.2010.10.031
dc.subject.eciencia Matemáticas
dc.identifier.doi 10.1016/j.jtbi.2010.10.031
dc.rights.accessRights openAccess
dc.relation.projectID Proyecto: Comunidad de Madrid. S2009/ESP-1691/MODELICO
dc.relation.projectID Gobierno de España. FIS2006-01485/MOSAICO
dc.type.version acceptedVersion
dc.identifier.uxxi AR/0000007930
 Find Full text

Files in this item

*Click on file's image for preview. (Embargoed files's preview is not supported)

This item appears in the following Collection(s)

Show simple item record