A binomial stochastic simulated study of mutualism

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

Description

Title: A binomial stochastic simulated study of mutualism
Author/s:
  • García Algarra, Francisco Javier
  • Galeano, Javier
  • Pastor Ruiz, Juan Manuel
  • Iriondo, José María
  • Ramasco, Juan José
Item Type: Presentation at Congress or Conference (Article)
Event Title: XXXIII Dynamics Days Europe
Event Dates: 03/06/2013-07/06/2013
Event Location: Madrid, España
Title of Book: XXXIII Dynamics Days Europe
Date: 2013
Subjects:
Faculty: E.T.S.I. Agrónomos (UPM) [antigua denominación]
Department: Otro
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

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.

More information

Item ID: 43652
DC Identifier: http://oa.upm.es/43652/
OAI Identifier: oai:oa.upm.es:43652
Official URL: http://dynamics-days-europe-2013.org/
Deposited by: Memoria Investigacion
Deposited on: 02 Nov 2016 16:09
Last Modified: 02 Nov 2016 16:09
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