Journal ArticleDOI
Behavioral choices based on patch selection: a model using aggregation methods.
Reads0
Chats0
TLDR
The aim of this work is to study the influence of patch selection on the dynamics of a system describing the interactions between two populations, generically called 'population N' and 'population P', and to obtain a global model describing the time evolution of the total populations, at a slow time scale.Abstract:
The aim of this work is to study the influence of patch selection on the dynamics of a system describing the interactions between two populations, generically called `population N' and `population P'. Our model may be applied to prey–predator systems as well as to certain host–parasite or parasitoid systems. A situation in which population P affects the spatial distribution of population N is considered. We deal with a heterogeneous environment composed of two spatial patches: population P lives only in patch 1, while individuals belonging to population N migrate between patch 1 and patch 2, which may be a refuge. Therefore they are divided into two patch sub-populations and can migrate according to different migration laws. We make the assumption that the patch change is fast, whereas the growth and interaction processes are slower. We take advantage of the two time scales to perform aggregation methods in order to obtain a global model describing the time evolution of the total populations, at a slow time scale. At first, a migration law which is independent on population P density is considered. In this case the global model is equivalent to the local one, and under certain conditions, population P always gets extinct. Then, the same model, but in which individuals belonging to population N leave patch 1 proportionally to population P density, is studied. This particular behavioral choice leads to a dynamically richer global system, which favors stability and population coexistence. Finally, we study a third example corresponding to the addition of an aggregative behavior of population N on patch 1. This leads to a more complicated situation in which, according to initial conditions, the global system is described by two different aggregated models. Under certain conditions on parameters a stable limit cycle occurs, leading to periodic variations of the total population densities, as well as of the local densities on the spatial patches.read more
Citations
More filters
Book ChapterDOI
Aggregation of Variables and Applications to Population Dynamics
TL;DR: In this paper, the authors present a survey of the IRD UR Geodes, IRD de l'Ile de France, 32, Av. Henri Varagnat, 93143 Bondy cedex, France pierreauger@bondy.ird.fr
Journal ArticleDOI
Aggregation methods in dynamical systems and applications in population and community dynamics
TL;DR: In this paper, a review is devoted to approximate aggregation methods that are based on the existence of different time scales, which is the case in many real systems as ecological ones where the different organization levels (individual, population, community and ecosystem) possess a different characteristic time scale.
Journal ArticleDOI
Aggregation and emergence in ecological modelling: integration of ecological levels
TL;DR: Aggregation methods are presented, which can be seen as a compromise between two previous modelling approaches, applicable for models involving two levels of organisation and the corresponding time scales and focus on the emerging properties of individual behaviours at the population and community levels.
Journal ArticleDOI
Methods of aggregation of variables in population dynamics.
TL;DR: The use of aggregation methods permits us to conclude that density-dependent migration can stabilize the total population, both for time continuous systems as well as for discrete models.
Journal ArticleDOI
Adaptation of prey and predators between patches.
Wendi Wang,Yasuhiro Takeuchi +1 more
TL;DR: It is shown that the adaptation of prey and predators increases the survival probability of predators from the extinction in both patches to the persistence in one patch, and it is proved that the model admits periodic cycles and multiple stability transitions.
References
More filters
Book
Behavioural Ecology : An Evolutionary Approach
John R. Krebs,Nicholas B. Davies +1 more
TL;DR: In this paper, natural selection and life histories are modeled in behavioural ecology evolution of life histories human behavioural ecology, and exploitation of resources is discussed in terms of competition for resources interactions between predators and prey.
Journal ArticleDOI
An Experimental Test of the Effects of Predation Risk on Habitat Use in Fish
TL;DR: Methods to predict the additional mortality expected on a cohort due to a reduction in growth rate are developed, and the potential for predation risk to enforce size—class segregation is discussed, which leads de facto to resource partitioning.
Journal ArticleDOI
Optimal behavior: can foragers balance two conflicting demands?
TL;DR: A backswimmer, Notonecta hoffmanni, was capable of balancing these two conflicting factors adaptively and was able to compare the observed behaviors with predictions derived from fitness considerations.
Related Papers (5)
Emergence of population growth models: fast migration and slow growth.
Complex ecological models with simple dynamics: From individuals to populations
Pierre Auger,Robert Roussarie +1 more