From the Lotka–Volterra model to a spatialised population-driven individual-based model
Hugo Thierry
(1)
,
David Sheeren
(1)
,
Nicolas Marilleau
(2)
,
Claude Monteil
(1)
,
Nathalie Corson
(3)
,
Marion Amalric
(4)
David Sheeren
- Fonction : Auteur
- PersonId : 1322450
- IdHAL : david-sheeren
- ORCID : 0000-0001-8016-5355
- IdRef : 092130062
Claude Monteil
- Fonction : Auteur
- PersonId : 765207
- ORCID : 0000-0002-2521-0472
Nathalie Corson
- Fonction : Auteur
- PersonId : 868124
Marion Amalric
- Fonction : Auteur
- PersonId : 184861
- IdHAL : marionamalric
- ORCID : 0000-0002-5590-6729
- IdRef : 095634061
Résumé
The modelling of predator–prey dynamics is of great importance in ecology. Models based on differential equations aim to understand the interactions between populations of prey and predators at population scale, but they are unable to handle spatial and individual behaviour heterogeneities (individual scale). In this study, a population-driven individual-based model is proposed that has been developed from the archetypical Lotka–Volterra model. The population scale was retained for processes with slower dynamics, such as reproduction for both species and the natural death of predators. The individual scale was only used for the predation process, defining local rules for individual movements of prey and predators (related to a perception distance of predators and the presence of shelters for prey in the spatial environment) and to locate births and deaths. This model was compared with the Lotka–Volterra model. Simulations were able to exhibit the overall classic periodic evolution of population sizes with local variations. The effects of spatial heterogeneity were then explored through a range of prey refuge densities. The model was implemented on the Netlogo platform. This work illustrates how both individual and population scales may be linked through methodological choices in order to focus on the impacts of spatialisation and take into account the effects of spatial and individual heterogeneities
Format du dépôt | Notice |
---|---|
Type de dépôt | Article dans une revue |
Résumé |
en
The modelling of predator–prey dynamics is of great importance in ecology. Models based on differential equations aim to understand the interactions between populations of prey and predators at population scale, but they are unable to handle spatial and individual behaviour heterogeneities (individual scale). In this study, a population-driven individual-based model is proposed that has been developed from the archetypical Lotka–Volterra model. The population scale was retained for processes with slower dynamics, such as reproduction for both species and the natural death of predators. The individual scale was only used for the predation process, defining local rules for individual movements of prey and predators (related to a perception distance of predators and the presence of shelters for prey in the spatial environment) and to locate births and deaths. This model was compared with the Lotka–Volterra model. Simulations were able to exhibit the overall classic periodic evolution of population sizes with local variations. The effects of spatial heterogeneity were then explored through a range of prey refuge densities. The model was implemented on the Netlogo platform. This work illustrates how both individual and population scales may be linked through methodological choices in order to focus on the impacts of spatialisation and take into account the effects of spatial and individual heterogeneities
|
Titre |
en
From the Lotka–Volterra model to a spatialised population-driven individual-based model
|
Auteur(s) |
Hugo Thierry
1
, David Sheeren
1
, Nicolas Marilleau
2
, Claude Monteil
1
, Nathalie Corson
3
, Marion Amalric
4
1
DYNAFOR -
Dynamiques Forestières dans l'Espace Rural
( 37920 )
- 24 Chemin de Borde-Rouge Auzeville CS 52627
31326 Castanet Tolosan Cedex
- France
2
UMMISCO -
Unité de modélisation mathématique et informatique des systèmes complexes [Bondy]
( 100405 )
- IRD France Nord - 32 avenue Henri Varagnat - 93143 Bondy cedex
- France
3
LMAH -
Laboratoire de Mathématiques Appliquées du Havre
( 87 )
- 25 rue Philippe Lebon
BP 1123
76063 Le Havre Cedex
- France
4
CITERES -
Cités, Territoires, Environnement et Sociétés
( 199947 )
- 33 allée Ferdinand de Lesseps BP 60449 37204 Tours cedex 3
- France
|
Page/Identifiant |
xxx (2014)
|
Date de publication électronique |
2014-10
|
Date de publication |
2014-10
|
Audience |
Internationale
|
Comité de lecture |
Oui
|
Langue du document |
Anglais
|
Date de production/écriture |
2014
|
Nom de la revue |
|
Vulgarisation |
Non
|
Volume |
306
|
Numéro |
June 2015
|
Localisation géographique du document |
Dynafor, UMR 1201 UMR INRA / ENSAT : Dynamiques et écologie des paysages agriforestiers, Centre de recherche de Toulouse, 31326 Castanet-Tolosan Cedex, FRA (2015_Thierry_EcolModelling)
|
URL éditeur |
http://www.journals.elsevier.com/ecological-modelling/
|
Public visé |
Scientifique
|
Sous-type de document pour les Articles |
Research article
|
Titre du numéro spécial |
Ecological Modelling for Ecosystem Sustainability
|
Numéro spécial |
Numéro spécial
|
Domaine(s) |
|
Voir aussi |
|
Indexation contrôlée |
|
Mots-clés |
en
Refuge, Prey–predator interactions, Population dynamics, Population-driven model, Individual-based model, Spatiotemporal scales
|
DOI | 10.1016/j.ecolmodel.2014.09.022 |
ProdINRA | 308567 |
UT key WOS | 000355708000030 |
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