IDEAS home Printed from https://ideas.repec.org/a/eee/ecomod/v213y2008i1p133-142.html
   My bibliography  Save this article

On the use of growth rate parameters for projecting population sizes: Application to aphids

Author

Listed:
  • Matis, James H.
  • Kiffe, Thomas R.
  • Matis, Timothy I.
  • Jackman, John A.
  • Grant, William E.
  • Singh, Harvir

Abstract

This paper extends the application of the cumulative size based mechanistic model, which has previously been shown to describe diverse aphid population size data well. The mechanistic model is reviewed with a focus on the explanatory role of the birth and death rate formulation. An analysis of two data sets, one on the mustard aphid and the other on the pecan aphid, indicates that multiple linear regression equations based on the estimated birth and death rate parameters alone account for nearly all (R2>0.95) of the variability in two key population attributes, namely the peak count and the cumulative density. This indicates that population size variables may be projected directly from the growth rate parameters using linear equations. Such linear relationships based on the birth and death rate parameters are shown to hold also for certain generalized mechanistic models for which the analytical solution is not available. The birth and death rate coefficients, therefore, constitute a new succinct set of variables that could be included in the predictive modeling of aphid populations, as well as other insect and animal populations with local collapse which follow similar growth dynamics.

Suggested Citation

  • Matis, James H. & Kiffe, Thomas R. & Matis, Timothy I. & Jackman, John A. & Grant, William E. & Singh, Harvir, 2008. "On the use of growth rate parameters for projecting population sizes: Application to aphids," Ecological Modelling, Elsevier, vol. 213(1), pages 133-142.
  • Handle: RePEc:eee:ecomod:v:213:y:2008:i:1:p:133-142
    DOI: 10.1016/j.ecolmodel.2007.12.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304380007006291
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ecolmodel.2007.12.003?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Giarola, L.T.P. & Martins, S.G.F. & Toledo Costa, M.C.P., 2006. "Computer simulation of Aphis gossypii insects using Penna aging model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(1), pages 147-154.
    2. Matis, James H. & Kiffe, Thomas R. & Matis, Timothy I. & Jackman, John A. & Singh, Harvir, 2007. "Population size models based on cumulative size, with application to aphids," Ecological Modelling, Elsevier, vol. 205(1), pages 81-92.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Matis, James H. & Kiffe, Thomas R. & van der Werf, Wopke & Costamagna, Alejandro C. & Matis, Timothy I. & Grant, William E., 2009. "Population dynamics models based on cumulative density dependent feedback: A link to the logistic growth curve and a test for symmetry using aphid data," Ecological Modelling, Elsevier, vol. 220(15), pages 1745-1751.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Colin S. Gillespie & Andrew Golightly, 2010. "Bayesian inference for generalized stochastic population growth models with application to aphids," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 59(2), pages 341-357, March.
    2. Matis, James H. & Kiffe, Thomas R. & van der Werf, Wopke & Costamagna, Alejandro C. & Matis, Timothy I. & Grant, William E., 2009. "Population dynamics models based on cumulative density dependent feedback: A link to the logistic growth curve and a test for symmetry using aphid data," Ecological Modelling, Elsevier, vol. 220(15), pages 1745-1751.
    3. Gavin Ross & C. Sarada, 2010. "Reparameterization of nonlinear statistical models: a case study," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(12), pages 2015-2026.
    4. dos Santos, R.V.R. & Martins, S.G.F. & Pompeu, P.S., 2012. "An individual-based model for evolutionary effects of selective fishing applied to Pseudoplatystoma corruscans," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(21), pages 5112-5120.
    5. de Souza, A.A. & Martins, S.G.F. & Zacarias, M.S., 2009. "Computer simulation applied to the biological control of the insect Aphis gossypii for the parasitoid Lysiphlebus testaceipes," Ecological Modelling, Elsevier, vol. 220(6), pages 756-763.
    6. Grechi, Isabelle & Hilgert, Nadine & Sauphanor, Benoît & Senoussi, Rachid & Lescourret, Françoise, 2010. "Modelling coupled peach tree–aphid population dynamics and their control by winter pruning and nitrogen fertilization," Ecological Modelling, Elsevier, vol. 221(19), pages 2363-2373.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ecomod:v:213:y:2008:i:1:p:133-142. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/ecological-modelling .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.