Biological Invasions

, Volume 14, Issue 3, pp 633–647 | Cite as

Identifying non-invasible habitats for marine copepods using temperature-dependent R 0

  • Harshana Rajakaruna
  • Carly Strasser
  • Mark Lewis
Original Paper


If a non-indigenous species is to thrive and become invasive it must first persist under its new set of environmental conditions. Net reproductive rate (R 0) represents the average number of female offspring produced by a female over its lifetime, and has been used as a metric of population persistence. We modeled R 0 as a function of ambient water temperature (T) for the invasive marine calanoid copepod Pseudodiaptomus marinus, which is introduced to west coast of North America from East Asia by ship ballast water. The model was based on temperature-dependent stage-structured population dynamics given by a system of ordinary differential equations. We proposed a methodology to identify habitats that are non-invasible for P. marinus using the threshold of R 0(T) < 1 in order to identify potentially invasible habitats. We parameterized the model using published data on P. marinus and applied R 0(T) to identify the range of non-invasible habitats in a global scale based on sea surface temperature data. The model predictions matched the field evidence of species occurrences well.


Net reproductive rate Invasive species Marine copepods Pseudodiaptomus marinus Temperature Stage-structured population models Ordinary differential equations Ecological modeling Habitat invasibility Habitat suitability 



Financial support for HR and CS came from the NSERC-funded Canadian Aquatic Species Network (CAISN). HR also acknowledges the Department of Biological Sciences, University of Alberta for providing financial support. MAL gratefully acknowledges an NSERC Discovery Grant and a Canada Research Chair. The authors thank Alex Potapov at the Centre for Mathematical Biology, University of Alberta, and Claudio DiBacco at the Bedford Institute of Oceanography, Halifax, for valuable suggestions.


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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  • Harshana Rajakaruna
    • 1
  • Carly Strasser
    • 2
    • 3
  • Mark Lewis
    • 1
    • 2
  1. 1.Centre for Mathematical Biology, Department of Biological SciencesUniversity of AlbertaEdmontonCanada
  2. 2.Department of Mathematical and Statistical SciencesUniversity of AlbertaEdmontonCanada
  3. 3.Department of OceanographyDalhousie UniversityHalifaxCanada

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