Stage-Structured Integro-Differential Models: Application to Invasion Ecology



Modelling dispersal processes requires a quantitative measure of the amount of individuals dispersed at each distance, which is conveniently summarized in a dispersal kernel. The framework of stage-structured integro-differential models provides spatially explicit population dynamics models that couple a stage-structured life-cycle with a dispersal kernel. This framework is flexible and can notably incorporate density-dependence and stochasticity in demography and dispersal. We first present the general formalism of stage-structured integro-differential models and then provide two examples of application, both from invasion ecology. The first model was developed for the spread of feral oilseed rape along road verges. It is a one-dimensional deterministic invasion model, with a complex dispersal kernel that includes the combined action of various dispersal vectors. The second model was developed for the invasion of grasslands by pines and is a two-dimensional stochastic model with a life-cycle that accounts for the maturity age (10 years) and the dependence of cone production to tree height and tree density.

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© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Unité Ecologie Systématique et Evolution, UMR8079Univ. Paris-Sud 11OrsayFrance
  2. 2.CNRSOrsayFrance
  3. 3.AgroParisTechParisFrance

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