Mathematical Modelling to Determine the Growth in Weight of Marine Species in Nagapattinam District

Abstract

This study developed and validated logistic and Gompertz growth models to predict the growth in weight of marine species in Nagapattinam District, India. Field data collected from 2018 to 2022 was used to calibrate and validate the models. The study focused on finfish and shellfish species, including commercially important species such as shrimp, fish, and squid. The results showed that the Gompertz model performed better for predicting weight growth in finfish (R2 = 0.85), while the logistic model was more accurate for shellfish (R2 = 0.82). The models accurately predicted growth patterns, biomass, and yield. Sensitivity analysis revealed that water temperature, salinity, and food availability significantly influenced growth rates.