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Physiological responses of fish under environmental stress and extension of growth (curve) models

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  • Chakraborty, Biman
  • Bhowmick, Amiya Ranjan
  • Chattopadhyay, Joydev
  • Bhattacharya, Sabyasachi

Abstract

The physiological responses of fish to the environmental stress have been broadly classified into three categories, namely, primary, secondary and tertiary. We have proposed two extended growth curve models considering the physiological responses of fish due to various stressors. We illustrate the proposed models based on a fish growth data where tree shading effect on the water and the habitat alteration play a significant role. The tree shading effect produces different ecological niche in the water ecosystem. We consider the two stressors viz. heat-shock and deficiency of dissolved oxygen, originates from the habitat alteration and tree shading effect issues. The proposed models can capture the different forms of species fitness and thus quantify the stress effect accurately in comparison with the standard models. This quantification is achieved by introducing an additional parameter with the existing mathematical forms of Gompertz and logistic function. We extend these deterministic models by incorporating the random environmental influences. We study the mathematical properties of the proposed models and compute some important characteristics, namely, the point of inflections, asymptotic size, etc. We use the nonlinear least squares method to estimate the model parameters. We also discuss the existence and consistency of the estimates. The stochastic models appeared to give significant improvement over the deterministic case.

Suggested Citation

  • Chakraborty, Biman & Bhowmick, Amiya Ranjan & Chattopadhyay, Joydev & Bhattacharya, Sabyasachi, 2017. "Physiological responses of fish under environmental stress and extension of growth (curve) models," Ecological Modelling, Elsevier, vol. 363(C), pages 172-186.
  • Handle: RePEc:eee:ecomod:v:363:y:2017:i:c:p:172-186
    DOI: 10.1016/j.ecolmodel.2017.08.009
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    References listed on IDEAS

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    1. 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.
    2. 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.
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    Citations

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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. 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).
    3. 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).
    4. Kamkar, Behnam & Feyzbakhsh, Mohammad Taghi & Mokhtarpour, Hassan & Barbir, Jelena & Grahić, Jasmin & Tabor, Sylwester & Azadi, Hossein, 2023. "Effect of heat stress during anthesis on the Summer Maize grain formation: Using integrated modelling and multi-criteria GIS-based method," Ecological Modelling, Elsevier, vol. 481(C).

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