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

  • Aurélie Garnier
  • Jane Lecomte
Chapter

Abstract

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.

Keywords

Genetically Modify Soil Seed Bank Dispersal Kernel Dispersal Vector Road Verge 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© 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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