Effects of stochasticity and social norms on complex dynamics of fisheries
Sukanta Sarkar, Arzoo Narang, Sudipta Kumar Sinha, and Partha Sharathi, Dutta

TL;DR
This study investigates how stochasticity and social norms influence the dynamics of recreational fisheries, revealing critical transitions and potential mitigation strategies through a stochastic social-ecological model.
Contribution
It introduces a stochastic two-species fish model incorporating social norms, providing new insights into critical transitions and resilience in fisheries management.
Findings
Increased harvesting rate causes a shift from high-yield to low-yield fisheries.
Social norms help maintain moderate fish densities despite high harvesting.
Indicators can forecast sudden critical transitions.
Abstract
Recreational fishing is a highly socio-ecological process. Although recreational fisheries are self-regulating and resilient, changing anthropogenic pressure drives these fisheries to overharvest and collapse. Here, we evaluate the effect of demographic and environmental stochasticity for a social-ecological two-species fish model. In the presence of noise, we find that an increase in harvesting rate drives a critical transition from high-yield/low-price fisheries to low-yield/high-price fisheries. To calculate stochastic trajectories for demographic noise, we derive the master equation corresponding to the model and perform Monte-Carlo simulation. Moreover, the analysis of probabilistic potential and mean first-passage time reveals the resilience of alternative steady states. We also describe the efficacy of a few generic indicators in forecasting sudden transitions. Furthermore, we…
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