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Cooperation in species: Interplay of population regulation and extinction through global population dynamics database

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  • Bhowmick, Amiya Ranjan
  • Saha, Bapi
  • Chattopadhyay, Joydev
  • Ray, Santanu
  • Bhattacharya, Sabyasachi

Abstract

Throughout the history of evolutionary process cooperation has played a significant role in species sociological development and social groups are more likely to be survived than individuals in apparently unfavorable conditions. We bring in the concept of cooperation and introduce a new parameter γ in the generalized theta-logistic equation to model non-monotonic behavior of per capita growth rate. This phenomenological modeling approach highlights the interplay of two opposing forces, namely, the positive effect of cooperation and the negative density dependence (competition). Sibly et al. (2005) found that, the density dependent population growth curve seems to be concave in most animal populations, and follows the theta-logistic equation. To explore this phenomenon further, we investigated 715 time series from global population dynamics database and identified 28 cases, where, incorporating intra-species cooperation as an allometric trait into the logistic improves the description of the population growth. Nonlinear regression and bootstrap resampling technique were used to estimate the model parameters during the fitting of real data and the mean square error was used to compare the fitting performance of theta-logistic model and the model with cooperation. This study may help to identify the presence of cooperation from species growth profile obtained from census data. The numerical estimate of cooperation parameter and its threshold value can be used as a potential tool to decide the optimal management action in species conservation. The stability and bifurcation analysis are used to choose the critical value of γ above which the risk of extinction is high. The illustration has been provided by means of simulation and real data.

Suggested Citation

  • Bhowmick, Amiya Ranjan & Saha, Bapi & Chattopadhyay, Joydev & Ray, Santanu & Bhattacharya, Sabyasachi, 2015. "Cooperation in species: Interplay of population regulation and extinction through global population dynamics database," Ecological Modelling, Elsevier, vol. 312(C), pages 150-165.
    • Handle: RePEc:eee:ecomod:v:312:y:2015:i:c:p:150-165
    DOI: 10.1016/j.ecolmodel.2015.05.023
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    References listed on IDEAS

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    1. John M. Drake & Blaine D. Griffen, 2010. "Early warning signals of extinction in deteriorating environments," Nature, Nature, vol. 467(7314), pages 456-459, September.
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    3. Saha, Bapi & Bhowmick, Amiya Ranjan & Chattopadhyay, Joydev & Bhattacharya, Sabyasachi, 2013. "On the evidence of an Allee effect in herring populations and consequences for population survival: A model-based study," Ecological Modelling, Elsevier, vol. 250(C), pages 72-80.
    4. Ross, J.V., 2009. "A note on density dependence in population models," Ecological Modelling, Elsevier, vol. 220(23), pages 3472-3474.
    5. Marten Scheffer & Jordi Bascompte & William A. Brock & Victor Brovkin & Stephen R. Carpenter & Vasilis Dakos & Hermann Held & Egbert H. van Nes & Max Rietkerk & George Sugihara, 2009. "Early-warning signals for critical transitions," Nature, Nature, vol. 461(7260), pages 53-59, September.
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    Cited by:

    1. Karim, Md Aktar Ul & Bhagat, Supriya Ramdas & Bhowmick, Amiya Ranjan, 2022. "Empirical detection of parameter variation in growth curve models using interval specific estimators," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    2. Rana, Sourav & Basu, Ayanendranath & Ghosh, Sinchan & Bhattacharya, Sabyasachi, 2023. "Moths exhibit strong memory among cooperative species of other taxonomic groups: An empirical study," Ecological Modelling, Elsevier, vol. 476(C).
    3. Soumalya Mukhopadhyay & Arnab Hazra & Amiya Ranjan Bhowmick & Sabyasachi Bhattacharya, 2016. "On comparison of relative growth rates under different environmental conditions with application to biological data," METRON, Springer;Sapienza Università di Roma, vol. 74(3), pages 311-337, December.
    4. Paul, Ayan & Reja, Selim & Kundu, Sayani & Bhattacharya, Sabyasachi, 2021. "COVID-19 pandemic models revisited with a new proposal: Plenty of epidemiological models outcast the simple population dynamics solution," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    5. Kundu, Sayani & Dasgupta, Nirjhar & Chakraborty, Bratati & Paul, Ayan & Ray, Santanu & Bhattacharya, Sabyasachi, 2021. "Growth acceleration is the key for identifying the most favorable food concentration of Artemia sp," Ecological Modelling, Elsevier, vol. 455(C).
    6. Roy, Trina & Ghosh, Sinchan & Bhattacharya, Sabyasachi, 2022. "A new growth curve model portraying the stress response regulation of fish: Illustration through particle motion and real data," Ecological Modelling, Elsevier, vol. 470(C).

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