IDEAS home Printed from https://ideas.repec.org/a/eee/ecomod/v368y2018icp147-157.html
   My bibliography  Save this article

A methodology to quantify the long-term changes in social networks of competing species

Author

Listed:
  • Bani-Yaghoub, Majid
  • Reed, Aaron

Abstract

Current methods of social network analysis need detailed data, which are often unavailable for long periods of time (e.g. decades). The main objective of the present work is to develop and test a methodology that requires less detailed data and relies on user-defined mathematical models. This methodology is a three-step procedure described as follows. First, long-term population data is divided into n subsets based on the desired time unit (e.g. months, or years). Second, a class of mathematical models are defined and fitted to each subset of data, where growth, migration, and interaction parameters are estimated. Third, time series of estimated parameter values are analyzed to detect trends, periodic cycles and patterns of ecological dominance. To examine the robustness of this method, the annual competitive Lotka–Volterra (CLV) models were parametrized using the long-term (1973–2003) population densities of five rodent species residing in Kansas: cotton rat (CR), prairie vole (PV), white-footed mouse (WFM), deer mouse (DM), and western harvest mouse (WHM). Using the Fourier series models fitted to the estimated parameter values, we found that the periodic cycles of growth and competition rates were about 5.5 and 11 years for CR and about 2.6–3.8 years in all rodent species. The linear regression models fitted to the estimated values indicate slight decreases in the growth rates of all species except PV. The competing effects of PV on CR and WFM have decreased more than 11.4%. Whereas the competing effect of the DM on PV, and WFM on DM and itself have increased by 15.4%, 25.8% and 14.9%, respectively. The estimated migration rates of DM and WHM were mainly negative, which indicates that these species were mainly migrating out of the study site. All other three species had mainly positive migration rates. The parametrized annual CLV models were employed to analyze the formation of stable equilibria and to numerically investigate spatio-temporal patterns of population densities. We found that CR and PV were often dominant. The present work is the first step towards employing user-defined models compensating for the lack of long-term detailed social network data.

Suggested Citation

  • Bani-Yaghoub, Majid & Reed, Aaron, 2018. "A methodology to quantify the long-term changes in social networks of competing species," Ecological Modelling, Elsevier, vol. 368(C), pages 147-157.
    • Handle: RePEc:eee:ecomod:v:368:y:2018:i:c:p:147-157
    DOI: 10.1016/j.ecolmodel.2017.10.011
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304380017304386
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ecolmodel.2017.10.011?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. Wu, Lifeng & Liu, Sifeng & Wang, Yinao, 2012. "Grey Lotka–Volterra model and its application," Technological Forecasting and Social Change, Elsevier, vol. 79(9), pages 1720-1730.
    2. Geijzendorffer, I.R. & van der Werf, W. & Bianchi, F.J.J.A. & Schulte, R.P.O., 2011. "Sustained dynamic transience in a Lotka–Volterra competition model system for grassland species," Ecological Modelling, Elsevier, vol. 222(15), pages 2817-2824.
    3. Kyrre L. Kausrud & Atle Mysterud & Harald Steen & Jon Olav Vik & Eivind Østbye & Bernard Cazelles & Erik Framstad & Anne Maria Eikeset & Ivar Mysterud & Torstein Solhøy & Nils Chr. Stenseth, 2008. "Linking climate change to lemming cycles," Nature, Nature, vol. 456(7218), pages 93-97, November.
    4. David N. Fisher & Rolando Rodríguez-Muñoz & Tom Tregenza, 2016. "Comparing pre- and post-copulatory mate competition using social network analysis in wild crickets," Behavioral Ecology, International Society for Behavioral Ecology, vol. 27(3), pages 912-919.
    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. Kajikawa, Yuya & Mejia, Cristian & Wu, Mengjia & Zhang, Yi, 2022. "Academic landscape of Technological Forecasting and Social Change through citation network and topic analyses," Technological Forecasting and Social Change, Elsevier, vol. 182(C).
    2. Wang, Guiming & Getz, Lowell L. & Linzey, Alicia V. & Slade, Norman A. & Kesner, Michael H., 2012. "Fast and slow dynamics of northern small mammal populations," Ecological Modelling, Elsevier, vol. 225(C), pages 95-102.
    3. Yang, Chunyu & Huang, Jue & Lin, Zhibin & Zhang, Danxia & Zhu, Ying & Xu, Xinghua & Chen, Mei, 2018. "Evaluating the symbiosis status of tourist towns: The case of Guizhou Province, China," Annals of Tourism Research, Elsevier, vol. 72(C), pages 109-125.
    4. Mario Gallego-Abenza & Nicolas Mathevon & David Wheatcroft & Ulrika Candolin, 2020. "Experience modulates an insect’s response to anthropogenic noise," Behavioral Ecology, International Society for Behavioral Ecology, vol. 31(1), pages 90-96.
    5. Michael Neuman & Lorenzo Chelleri & Thorsten Schuetze, 2021. "Post-Pandemic Urbanism: Criteria for a New Normal," Sustainability, MDPI, vol. 13(19), pages 1-6, September.
    6. Tom Tregenza & Petri T Niemelä & Rolando Rodríguez-Muñoz & Paul E Hopwood, 2022. "Environment and mate attractiveness in a wild insect [Female pied flycatchers choose territory quality and not male characteristics]," Behavioral Ecology, International Society for Behavioral Ecology, vol. 33(5), pages 999-1006.
    7. Zhang, Zhibin & Yan, Chuan & Krebs, Charles J. & Stenseth, Nils Chr., 2015. "Ecological non-monotonicity and its effects on complexity and stability of populations, communities and ecosystems," Ecological Modelling, Elsevier, vol. 312(C), pages 374-384.
    8. Oksana Revutskaya & Galina Neverova & Oksana Zhdanova & Efim Frisman, 2023. "The Evolutionary Dynamics of a Sex-Structured Population with Non-Overlapping Generations," Mathematics, MDPI, vol. 11(24), pages 1-24, December.
    9. Andreas Sundelöf & Valerio Bartolino & Mats Ulmestrand & Massimiliano Cardinale, 2013. "Multi-Annual Fluctuations in Reconstructed Historical Time-Series of a European Lobster (Homarus gammarus) Population Disappear at Increased Exploitation Levels," PLOS ONE, Public Library of Science, vol. 8(4), pages 1-10, April.
    10. Barraquand, Frédéric & New, Leslie F. & Redpath, Stephen & Matthiopoulos, Jason, 2015. "Indirect effects of primary prey population dynamics on alternative prey," Theoretical Population Biology, Elsevier, vol. 103(C), pages 44-59.
    11. Matvey Kulakov & Efim Frisman, 2023. "Clustering Synchronization in a Model of the 2D Spatio-Temporal Dynamics of an Age-Structured Population with Long-Range Interactions," Mathematics, MDPI, vol. 11(9), pages 1-21, April.

    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:368:y:2018:i:c:p:147-157. 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.