IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v629y2023ics0378437123007343.html
   My bibliography  Save this article

A stage structured demographic model with “no-regression” growth: The case of temperature-dependent development rate

Author

Listed:
  • Pasquali, Sara
  • Trivellato, Barbara

Abstract

To describe the dynamics of a pest, stage structured demographic models appear suitable tools since they allow to know the abundance in each stage. The growth of an individual is described by its physiological age supposed to be stochastic. The physiological age is conveniently represented by a stochastic differential equation driven by a Gamma process to guarantee its non-negativity. Two different formulations using a Gamma process with drift or a pure time-inhomogeneous Gamma process are here considered and compared with the common Wiener driven model which, however, do not grant the positivity of the physiological age. The population dynamics based on the Gamma processes are represented by a system of generalized Kolmogorov equations, while a system of Fokker–Planck equations describes the dynamics in the case of a Wiener driven physiological age. Development, mortality and fecundity rate functions are supposed time-dependent. The Gamma driven physiological age models have the same expectation of the Wiener driven physiological age and present similar residence times in a stage. Consequently, they also produce similar population dynamics allowing us to state that the population dynamics based on Wiener driven physiological age represents a good approximation of the formally correct dynamics obtained using a Gamma driven physiological age with an appropriate choice of the parameters. Suitable discretizations of the models are presented to simulate the dynamics.

Suggested Citation

  • Pasquali, Sara & Trivellato, Barbara, 2023. "A stage structured demographic model with “no-regression” growth: The case of temperature-dependent development rate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(C).
  • Handle: RePEc:eee:phsmap:v:629:y:2023:i:c:s0378437123007343
    DOI: 10.1016/j.physa.2023.129179
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437123007343
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2023.129179?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. Pasquali, S. & Soresina, C. & Gilioli, G., 2019. "The effects of fecundity, mortality and distribution of the initial condition in phenological models," Ecological Modelling, Elsevier, vol. 402(C), pages 45-58.
    2. Pasquali, Sara, 2021. "A stage structured demographic model with “no-regression” growth: The case of constant development rate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).
    3. Gilioli, Gianni & Pasquali, Sara & Marchesini, Enrico, 2016. "A modelling framework for pest population dynamics and management: An application to the grape berry moth," Ecological Modelling, Elsevier, vol. 320(C), pages 348-357.
    4. S. I. Denisov & W. Horsthemke & P. Hänggi, 2009. "Generalized Fokker-Planck equation: Derivation and exact solutions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 68(4), pages 567-575, April.
    5. Ponosov, Arcady & Idels, Lev & Kadiev, Ramazan, 2020. "Stochastic McKendrick–Von Foerster models with applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    Full references (including those not matched with items on IDEAS)

    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. Pasquali, Sara, 2021. "A stage structured demographic model with “no-regression” growth: The case of constant development rate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).
    2. Rossini, Luca & Contarini, Mario & Severini, Maurizio & Speranza, Stefano, 2020. "Reformulation of the Distributed Delay Model to describe insect pest populations using count variables," Ecological Modelling, Elsevier, vol. 436(C).
    3. Pasquali, S. & Soresina, C. & Marchesini, E., 2022. "Mortality estimate driven by population abundance field data in a stage-structured demographic model. The case of Lobesia botrana," Ecological Modelling, Elsevier, vol. 464(C).
    4. Rossini, Luca & Bono Rosselló, Nicolás & Speranza, Stefano & Garone, Emanuele, 2021. "A general ODE-based model to describe the physiological age structure of ectotherms: Description and application to Drosophila suzukii," Ecological Modelling, Elsevier, vol. 456(C).
    5. Denisov, S.I. & Bystrik, Yu.S., 2019. "Statistics of bounded processes driven by Poisson white noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 38-46.
    6. Neta, Ayana & Gafni, Roni & Elias, Hilit & Bar-Shmuel, Nitsan & Shaltiel-Harpaz, Liora & Morin, Efrat & Morin, Shai, 2021. "Decision support for pest management: Using field data for optimizing temperature-dependent population dynamics models," Ecological Modelling, Elsevier, vol. 440(C).
    7. Klagkou, Evridiki & Gergs, Andre & Baden, Christian U. & Lika, Konstadia, 2024. "Dynamic Energy Budget approach for modeling growth and reproduction of Neotropical stink bugs," Ecological Modelling, Elsevier, vol. 493(C).
    8. Castex, V. & García de Cortázar-Atauri, I. & Calanca, P. & Beniston, M. & Moreau, J., 2020. "Assembling and testing a generic phenological model to predict Lobesia botrana voltinism for impact studies," Ecological Modelling, Elsevier, vol. 420(C).
    9. Rossini, Luca & Severini, Maurizio & Contarini, Mario & Speranza, Stefano, 2019. "A novel modelling approach to describe an insect life cycle vis-à-vis plant protection: description and application in the case study of Tuta absoluta," Ecological Modelling, Elsevier, vol. 409(C), pages 1-1.
    10. Aguirre-Zapata, Estefania & Alvarez, Hernan & Dagatti, Carla Vanina & di Sciascio, Fernando & Amicarelli, Adriana N., 2023. "Parametric interpretability of growth kinetics equations in a process model for the life cycle of Lobesia botrana," Ecological Modelling, Elsevier, vol. 482(C).
    11. Pasquali, S. & Soresina, C. & Gilioli, G., 2019. "The effects of fecundity, mortality and distribution of the initial condition in phenological models," Ecological Modelling, Elsevier, vol. 402(C), pages 45-58.
    12. Max-Olivier Hongler & Roger Filliger, 2019. "On Jump-Diffusive Driving Noise Sources," Methodology and Computing in Applied Probability, Springer, vol. 21(3), pages 753-764, September.
    13. Kolpas, Allison & Funk, David H. & Jackson, John K. & Sweeney, Bernard W., 2020. "Phenological modeling of the parthenogenetic mayfly Neocloeon triangulifer (Ephemeroptera: Baetidae) in White Clay Creek," Ecological Modelling, Elsevier, vol. 416(C).

    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:phsmap:v:629:y:2023:i:c:s0378437123007343. 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/physica-a-statistical-mechpplications/ .

    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.