Physiological responses of fish under environmental stress and extension of growth (curve) models
Article Type
Research Article
Publication Title
Ecological Modelling
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.
First Page
172
Last Page
186
DOI
10.1016/j.ecolmodel.2017.08.009
Publication Date
11-10-2017
Recommended Citation
Chakraborty, Biman; Bhowmick, Amiya Ranjan; Chattopadhyay, Joydev; and Bhattacharya, Sabyasachi, "Physiological responses of fish under environmental stress and extension of growth (curve) models" (2017). Journal Articles. 2344.
https://digitalcommons.isical.ac.in/journal-articles/2344