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Invasion with stage-structured coupled map lattices: Application to the spread of scentless chamomile

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  • de-Camino-Beck, T.
  • Lewis, M.A.

Abstract

Two fundamental aspects of invasion dynamics are population growth and population spread. These quantities have been subject of study in biological invasions and can be used to study management and control of organisms. In this paper we derive formulae to calculate wave speed and rates of spread for coupled map lattices. Coupled map lattice models are dynamical models where space and time are discrete. We also show how wave speed and rate of spread can be calculated for structured population coupled map lattices in deterministic, stochastic environments and heterogeneous landscapes. Coupled map lattices are simple mathematical models that can be easily linked to landscape data to study invading organisms control strategies.

Suggested Citation

  • de-Camino-Beck, T. & Lewis, M.A., 2009. "Invasion with stage-structured coupled map lattices: Application to the spread of scentless chamomile," Ecological Modelling, Elsevier, vol. 220(23), pages 3394-3403.
    • Handle: RePEc:eee:ecomod:v:220:y:2009:i:23:p:3394-3403
    DOI: 10.1016/j.ecolmodel.2009.09.003
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    References listed on IDEAS

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    1. Kimberly A. With, 2004. "Assessing the Risk of Invasive Spread in Fragmented Landscapes," Risk Analysis, John Wiley & Sons, vol. 24(4), pages 803-815, August.
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    Cited by:

    1. Wang, Ching-Hao & Matin, Sakib & George, Ashish B. & Korolev, Kirill S., 2019. "Pinned, locked, pushed, and pulled traveling waves in structured environments," Theoretical Population Biology, Elsevier, vol. 127(C), pages 102-119.

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