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Non-parametric modelling of non-linear density dependence: a three-species host–parasitoid system

  1. A. B. Kristoffersen1,2,
  2. O. C. Lingjærde2,
  3. N. CHR. Stenseth1,*,
  4. M. Shimada3

Article first published online: 20 DEC 2001

DOI: 10.1046/j.0021-8790.2001.00540.x

Issue

Journal of Animal Ecology

Journal of Animal Ecology

Volume 70, Issue 5, pages 808–819, September 2001

Additional Information

How to Cite

Kristoffersen, A. B., Lingjærde, O. C., Stenseth, N. C. and Shimada, M. (2001), Non-parametric modelling of non-linear density dependence: a three-species host–parasitoid system. Journal of Animal Ecology, 70: 808–819. doi: 10.1046/j.0021-8790.2001.00540.x

Author Information

  1. 1

    Department of Biology, University of Oslo, PO Box 1050, N-0316 Oslo, Norway;

  2. 2

    Department of Informatikk, University of Oslo, PO Box 1080, N-0316 Oslo, Norway; and

  3. 3

    Department of Systems Sciences (Biology), University of Tokyo, Komaba, Meguro-ku, Tokyo 153–8902, Japan

* Nils Chr. Stenseth, Department of Biology, University of Oslo, PO Box 1050, N-0316 Oslo, Norway. Tel: (+ 47) 22854561. Fax: (+ 47) 22854605. E-mail:n.c.stenseth@bio.uio.no

Publication History

  1. Issue published online: 20 DEC 2001
  2. Article first published online: 20 DEC 2001

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Keywords:

  • Anisopteromalus calandrae;
  • Callosobruchus chinensis;
  • Heterospilus prosopidis;
  • model structure;
  • population dynamics;
  • time-series analysis

Summary

  • 1
     Time-series data from a twice-replicated population experiment (consisting of a seed beetle (host), Callosobruchus chinensis, and two parasitoids, Anisopteromalus calandrae and Heterospilus prosopidis) were studied in order to identify and to estimate the density-dependent structure.
  • 2
     A non-parametric host–parasitoid model based on the Nicholson–Bailey model, was studied through non-parametric autoregressive modelling. An additive non-linear structure was found in the population growth/parasitism rates for all three species.
  • 3
     The analysis suggests that the abundance of A. calandrae only weakly affects its own parasitism rate as well as H. prosopidis parasitism rate.
  • 4
     The analysis also suggests that the net population growth rate of C. chinensis is highly non-linear, which may be due to disproportionately higher egg mortality at high adult densities.
  • 5
     Non-linearity was also demonstrated in the parasitism rate of H. prosopidis, which is consistent with assuming that the density-dependent mutual interference becomes disproportionately higher at high H. prosopidis adult densities.
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