IDEAS home Printed from https://ideas.repec.org/a/eee/thpobi/v82y2012i4p253-263.html
   My bibliography  Save this article

Effects of demographic structure on key properties of stochastic density-independent population dynamics

Author

Listed:
  • Vindenes, Yngvild
  • Sæther, Bernt-Erik
  • Engen, Steinar

Abstract

The development of stochastic demography has largely been based on age structured populations, although other types of demographic structure, especially permanent and dynamic heterogeneity, are likely common in natural populations. The combination of stochasticity and demographic structure is a challenge for analyses of population dynamics and extinction risk, because the population structure will fluctuate around the stable structure and the population size shows transient fluctuations. However, by using a diffusion approximation for the total reproductive value, density-independent dynamics of structured populations can be described with only three population parameters: the expected population growth rate, the environmental variance and the demographic variance. These parameters depend on population structure via the state-specific vital rates and transition rates. Once they are found, the diffusion approximation represents a substantial reduction in model complexity.

Suggested Citation

  • Vindenes, Yngvild & Sæther, Bernt-Erik & Engen, Steinar, 2012. "Effects of demographic structure on key properties of stochastic density-independent population dynamics," Theoretical Population Biology, Elsevier, vol. 82(4), pages 253-263.
    • Handle: RePEc:eee:thpobi:v:82:y:2012:i:4:p:253-263
    DOI: 10.1016/j.tpb.2011.10.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0040580911000888
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.tpb.2011.10.002?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. Hans Ellegren & Ben C. Sheldon, 2008. "Genetic basis of fitness differences in natural populations," Nature, Nature, vol. 452(7184), pages 169-175, March.
    2. Per T. Smiseth & Rolf J. Bu & Aase K. Eikenæs & Trond Amundsen, 2003. "Food limitation in asynchronous bluethroat broods: effects on food distribution, nestling begging, and parental provisioning rules," Behavioral Ecology, International Society for Behavioral Ecology, vol. 14(6), pages 793-801, November.
    3. Arpat Ozgul & Dylan Z. Childs & Madan K. Oli & Kenneth B. Armitage & Daniel T. Blumstein & Lucretia E. Olson & Shripad Tuljapurkar & Tim Coulson, 2010. "Coupled dynamics of body mass and population growth in response to environmental change," Nature, Nature, vol. 466(7305), pages 482-485, July.
    4. Yashin, Anatoli I. & Arbeev, Konstantin G. & Akushevich, Igor & Kulminski, Alexander & Akushevich, Lucy & Ukraintseva, Svetlana V., 2008. "Model of hidden heterogeneity in longitudinal data," Theoretical Population Biology, Elsevier, vol. 73(1), pages 1-10.
    5. Hal Caswell, 2011. "Beyond R0: Demographic Models for Variability of Lifetime Reproductive Output," PLOS ONE, Public Library of Science, vol. 6(6), pages 1-21, June.
    6. Irja I. Ratikainen & Jonathan Wright & Anahita J.N. Kazem, 2010. "Social class influences degree of variance sensitivity in wild Siberian jays," Behavioral Ecology, International Society for Behavioral Ecology, vol. 21(5), pages 1067-1072.
    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. Nothaaß, Dorian & Taubert, Franziska & Huth, Andreas & Clark, Adam Thomas, 2023. "Modelling species invasion using a metapopulation model with variable mortality and stochastic birth-death processes," Ecological Modelling, Elsevier, vol. 481(C).

    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. Loeske E B Kruuk, 2017. "A new explanation for unexpected evolution in body size," PLOS Biology, Public Library of Science, vol. 15(2), pages 1-6, February.
    2. Silke van Daalen & Hal Caswell, 2015. "Lifetime reproduction and the second demographic transition: Stochasticity and individual variation," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 33(20), pages 561-588.
    3. Anna Y. Alekseeva & Anneloes E. Groenenboom & Eddy J. Smid & Sijmen E. Schoustra, 2021. "Eco-Evolutionary Dynamics in Microbial Communities from Spontaneous Fermented Foods," IJERPH, MDPI, vol. 18(19), pages 1-19, September.
    4. Dmitrii O. Logofet & Leonid L. Golubyatnikov & Nina G. Ulanova, 2020. "Realistic Choice of Annual Matrices Contracts the Range of λ S Estimates," Mathematics, MDPI, vol. 8(12), pages 1-15, December.
    5. Coste, Christophe F.D. & Pavard, Samuel, 2020. "Analysis of a multitrait population projection matrix reveals the evolutionary and demographic effects of a life history trade-off," Ecological Modelling, Elsevier, vol. 418(C).
    6. Maldonado-Chaparro, Adriana A. & Read, Dwight W. & Blumstein, Daniel T., 2017. "Can individual variation in phenotypic plasticity enhance population viability?," Ecological Modelling, Elsevier, vol. 352(C), pages 19-30.
    7. Hal Caswell & Silke van Daalen, 2021. "Healthy longevity from incidence-based models: More kinds of health than stars in the sky," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 45(13), pages 397-452.
    8. Roth, Gregory & Caswell, Hal, 2018. "Occupancy time in sets of states for demographic models," Theoretical Population Biology, Elsevier, vol. 120(C), pages 62-77.
    9. Anatoly I. Yashin & Igor Akushevich & Konstantin G. Arbeev & Alexander Kulminski & Svetlana Ukraintseva, 2011. "Joint Analysis of Health Histories, Physiological State, and Survival," Mathematical Population Studies, Taylor & Francis Journals, vol. 18(4), pages 207-233, October.
    10. Basak, Gopal K. & Das, Pranab Kumar & Rohit, Allena, 2019. "Coupled dynamics with an external system and application to international finance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 409-432.
    11. Beatriz C. Afonso & Gonçalo Matias & Daniela Teixeira & Rita Pereira & Luís M. Rosalino, 2023. "Determinants of Small Mammals’ Body Condition in Eucalyptus Dominated Landscapes," Sustainability, MDPI, vol. 16(1), pages 1-14, December.
    12. Daniel Parejo-Pulido & Lorenzo Pérez-Rodríguez & Inmaculada Abril-Colón & Jaime Potti & Tomás Redondo, 2023. "Passive and active parental food allocation in a songbird," Behavioral Ecology, International Society for Behavioral Ecology, vol. 34(5), pages 729-740.
    13. Caswell, Hal & Shyu, Esther, 2012. "Sensitivity analysis of periodic matrix population models," Theoretical Population Biology, Elsevier, vol. 82(4), pages 329-339.
    14. Hal Caswell, 2014. "A matrix approach to the statistics of longevity in heterogeneous frailty models," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 31(19), pages 553-592.
    15. David F. Westneat & Matthew Schofield & Jonathan Wright, 2013. "Editor's choice Parental behavior exhibits among-individual variance, plasticity, and heterogeneous residual variance," Behavioral Ecology, International Society for Behavioral Ecology, vol. 24(3), pages 598-604.
    16. van Daalen, Silke & Caswell, Hal, 2020. "Variance as a life history outcome: Sensitivity analysis of the contributions of stochasticity and heterogeneity," Ecological Modelling, Elsevier, vol. 417(C).
    17. Hal Caswell & Fanny Annemarie Kluge, 2015. "Demography and the statistics of lifetime economic transfers under individual stochasticity," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 32(19), pages 563-588.
    18. Domenico Fulgione & Maria Buglione, 2022. "The Boar War: Five Hot Factors Unleashing Boar Expansion and Related Emergency," Land, MDPI, vol. 11(6), pages 1-19, June.
    19. Daniel C. Schneider & Mikko Myrskylä, 2023. "Statistical inference for discrete-time multistate models: extensions to Markov Chains with rewards," MPIDR Working Papers WP-2023-042, Max Planck Institute for Demographic Research, Rostock, Germany.

    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:thpobi:v:82:y:2012:i:4:p:253-263. 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: https://www.journals.elsevier.com/intelligence .

    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.