A binomial stochastic simulated study of mutualism

García Algarra, Francisco Javier; Galeano, Javier; Pastor Ruiz, Juan Manuel; Iriondo, José María y Ramasco, Juan José (2013). A binomial stochastic simulated study of mutualism. En: "XXXIII Dynamics Days Europe", 03/06/2013-07/06/2013, Madrid, España. p. 20.


Título: A binomial stochastic simulated study of mutualism
  • García Algarra, Francisco Javier
  • Galeano, Javier
  • Pastor Ruiz, Juan Manuel
  • Iriondo, José María
  • Ramasco, Juan José
Tipo de Documento: Ponencia en Congreso o Jornada (Artículo)
Título del Evento: XXXIII Dynamics Days Europe
Fechas del Evento: 03/06/2013-07/06/2013
Lugar del Evento: Madrid, España
Título del Libro: XXXIII Dynamics Days Europe
Fecha: 2013
Escuela: E.T.S.I. Agrónomos (UPM) [antigua denominación]
Departamento: Otro
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Mutualism is the interaction between two species that results benefitial for both. Mutualistic communities have an internal structure of bipartite network, with a property called nestedness that makes them quite resilient. Research has focused on stability to explain the reasons of this effect but dynamics is less well understood. Theoretical models are modifications of the classical logistic equation with addition l terms to take into account intraspecies interactions, but they are not fully satisfactory for simultaion under all circumstances. We have developed a model of mutualism based on the aggregation of benefit for each species in its equivalent growth rate: dN a j dt = req a jNj a ? |req a j| N a j 2 Ka j dN p l dt = req p lNlp ? |req p l|N K lpp2 l (1) Where the superscripts stands for each of both class of species. With these equtaions, we have built a binomial stochastic simulator for the study of system dynamics. It allows the introduction of external perturbations such as step increases in mortality by plagues, removal of links between species due to evolution or superposition of a predator foodweb. With this toolbox, we have simulated different scenarios that explain, for instance, why newcomer species have more chances of survival if they link to the generalist nested core, and how extinctions can spread and lead to a total collapse with a minimum change of the intensity of the external perturbation.

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ID de Registro: 43652
Identificador DC: http://oa.upm.es/43652/
Identificador OAI: oai:oa.upm.es:43652
URL Oficial: http://dynamics-days-europe-2013.org/
Depositado por: Memoria Investigacion
Depositado el: 02 Nov 2016 16:09
Ultima Modificación: 02 Nov 2016 16:09
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