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A micro-level 'consumer approach' to species population dynamics

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dc.creator Christiaans, Thomas
dc.creator Christiaans, Thomas
dc.creator Pethig, Rüdiger
dc.date 2005
dc.date.accessioned 2013-10-16T07:02:20Z
dc.date.available 2013-10-16T07:02:20Z
dc.date.issued 2013-10-16
dc.identifier http://hdl.handle.net/10419/18994
dc.identifier ppn:500838720
dc.identifier.uri http://koha.mediu.edu.my:8181/xmlui/handle/10419/18994
dc.description In this paper we develop a micro ecosystem model whose basic entities are representative organisms which behave as if maximizing their net offspring under constraints. Net offspring is increasing in prey biomass intake, declining in the loss of own biomass to predators and Allee?s Law applies. The organism?s constraint reflects its perception of how scarce its own biomass and the biomass of its prey is. In the short-run periods prices (scarcity indicators) coordinate and determine all biomass transactions and net offspring which directly translates into population growth functions. We are able to explicitly determine these growth functions for a simple food web when specific parametric net offspring functions are chosen in the micro-level ecosystem model. For the case of a single species our model is shown to yield the well-known Verhulst-Pearl logistic growth function. With two species in predator-prey relationship, we derive differential equations whose dynamics are completely characterized and turn out to be similar to the predator-prey model with Michaelis-Menten type functional response. With two species competing for a single resource we find that coexistence is a knife-edge feature confirming Tschirhart?s (2002) result in a different but related model.
dc.language eng
dc.publisher
dc.relation CESifo working papers 1530
dc.rights http://www.econstor.eu/dspace/Nutzungsbedingungen
dc.subject Q20
dc.subject ddc:330
dc.subject species
dc.subject growth
dc.subject extinction
dc.subject predator-prey relations
dc.subject resource competition
dc.subject Erneuerbare Ressourcen
dc.subject Bioökonomik
dc.subject Mikroökonomische Fundierung
dc.subject Theorie
dc.subject Räuber-Beute Modell
dc.title A micro-level 'consumer approach' to species population dynamics
dc.type doc-type:workingPaper


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