Abstract:
In the field of fisheries, one of the key tasks is to determine the total and commercial stocks of fish
resources in a water body, as well as to establish the maximum allowable catch of fish to maintain
the sustainability of the ecosystem. Mathematical models play an important role in this process,
providing effective resource management and predicting fish population dynamics, which ensures
the sustainable development of fisheries and the protection of aquatic ecosystems from depletion.
The aim of this study is to develop a new mathematical model for assessing changes in fish resource
stocks using the cohort method. The work proposes an alternative approach to calculating changes
in fish resource stocks based on statistical theory. The model developed in this work represents
a new approach to calculating fish resources for practical application, which can be useful for
fisheries enterprisers and government bodies involved in fish resource management.
The advantage of this work lies in the development of a mathematical model based solely
on known statistical data and data obtained from fisheries laboratories in the Republic of
Kazakhstan. Modern statistical methods were applied to solve the mathematical model, which
allow for the identification of unknown factors affecting the dynamics of fish populations, thereby
increasing the accuracy of forecasts and the efficiency of resource management.
