IDEAS home Printed from https://ideas.repec.org/a/eee/ecomod/v204y2007i1p59-69.html
   My bibliography  Save this article

Estimator of upgrowth transition rates for size-classified matrix from small samples

Author

Listed:
  • Picard, Nicolas
  • Bar-Hen, Avner
  • Gourlet-Fleury, Sylvie

Abstract

Matrix models can incorporate demographic, environmental or sampling stochasticity. The first two have intensively been studied, and we shall focus on the latter. It comes from the uncertainty on the estimation of vital rates, that generates an uncertainty on the model predictions. When dealing with size-classified models, the continuous information brought by the size may or may not be taken into consideration to estimate vital rates. The proportion estimator is obtained in the former case, whereas the increment estimator is obtained in the latter case. We compared these two estimators on the basis of their bias, variance and probability of being null, and applied the results to a tropical rain forest in French Guiana. The proportion estimator is unbiased, whereas the increment estimator is generally biased. We specified some conditions under which the increment estimator is also unbiased. However, the increment estimator generally has a lower asymptotic variance than the proportion estimator. As a consequence, the increment estimator is generally more efficient than the proportion estimator for small samples. Moreover, the increment estimator cannot bring null estimates, contrary to the proportion estimator, which reinforces its suitability for small samples.

Suggested Citation

  • Picard, Nicolas & Bar-Hen, Avner & Gourlet-Fleury, Sylvie, 2007. "Estimator of upgrowth transition rates for size-classified matrix from small samples," Ecological Modelling, Elsevier, vol. 204(1), pages 59-69.
  • Handle: RePEc:eee:ecomod:v:204:y:2007:i:1:p:59-69
    DOI: 10.1016/j.ecolmodel.2006.12.016
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304380006006442
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ecolmodel.2006.12.016?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. Sebert-Cuvillier, Emmanuelle & Paccaut, Frédéric & Chabrerie, Olivier & Endels, Patrick & Goubet, Olivier & Decocq, Guillaume, 2007. "Local population dynamics of an invasive tree species with a complex life-history cycle: A stochastic matrix model," Ecological Modelling, Elsevier, vol. 201(2), pages 127-143.
    2. Lesnoff, M., 1999. "Dynamics of a sheep population in a Sahelian area (Ndiagne district in Senegal): a periodic matrix model," Agricultural Systems, Elsevier, vol. 61(3), pages 207-221, September.
    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. Abotaleb Salehnasab & Harold E. Burkhart & Mahmoud Bayat & Bagher Khaleghi & Sahar Heidari & Hafiz Umair Masood Awan, 2022. "Projection Matrix Models: A Suitable Approach for Predicting Sustainable Growth in Uneven-Aged and Mixed Hyrcanian Forests," Sustainability, MDPI, vol. 14(11), pages 1-17, June.
    2. Picard, Nicolas & Mortier, Frédéric & Chagneau, Pierrette, 2008. "Influence of estimators of the vital rates in the stock recovery rate when using matrix models for tropical rainforests," Ecological Modelling, Elsevier, vol. 214(2), pages 349-360.
    3. Roitman, Iris & Vanclay, Jerome K., 2015. "Assessing size–class dynamics of a neotropical gallery forest with stationary models," Ecological Modelling, Elsevier, vol. 297(C), pages 118-125.

    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. Fargue-Lelièvre, A. & Le Cœur, D. & Baudry, J., 2011. "Integrating farming techniques in an ecological matrix model: Implementation on the primrose (Primula vulgaris)," Ecological Modelling, Elsevier, vol. 222(4), pages 1002-1015.
    2. Bown, James L. & Pachepsky, Elizaveta & Eberst, Alistair & Bausenwein, Ursula & Millard, Peter & Squire, Geoff R. & Crawford, John W., 2007. "Consequences of intraspecific variation for the structure and function of ecological communities," Ecological Modelling, Elsevier, vol. 207(2), pages 264-276.
    3. Brancatelli, Gabriela I.E. & Amodeo, Martín R. & Zalba, Sergio M., 2022. "Demographic model for Aleppo pine invading Argentinean grasslands," Ecological Modelling, Elsevier, vol. 473(C).
    4. Texeira, Marcos & Paruelo, Jose M., 2006. "Demography, population dynamics and sustainability of the Patagonian sheep flocks," Agricultural Systems, Elsevier, vol. 87(2), pages 123-146, February.
    5. Caswell, Hal & Shyu, Esther, 2012. "Sensitivity analysis of periodic matrix population models," Theoretical Population Biology, Elsevier, vol. 82(4), pages 329-339.
    6. Vuilleumier, S. & Buttler, A. & Perrin, N. & Yearsley, J.M., 2011. "Invasion and eradication of a competitively superior species in heterogeneous landscapes," Ecological Modelling, Elsevier, vol. 222(3), pages 398-406.
    7. arnaud dragicevic, 2012. "Bayesian Population Dynamics of Spreading Species," THEMA Working Papers 2012-30, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    8. Lesnoff, Matthieu & Corniaux, Christian & Hiernaux, Pierre, 2012. "Sensitivity analysis of the recovery dynamics of a cattle population following drought in the Sahel region," Ecological Modelling, Elsevier, vol. 232(C), pages 28-39.

    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:204:y:2007:i:1:p:59-69. 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.