Research on Optimizing the Development of Sports and Leisure Industry Using Genetic Algorithm to Promote the Growth of Local Sports Economy

With the improvement of people’s living standards and the enhancement of health consciousness, the sports and leisure industry is rapidly emerging as an important force to promote local economic development. In this paper, firstly, a cross-regional multi-objective integration model of sports and leisure resources is constructed, and then a genetic algorithm based on the improvement of non-uniform variation operator is used to further optimize the allocation of sports resources. Finally, a vector autoregressive (VAR) model is used to analyze the relationship between the development of the sports and leisure industry and the growth of the local sports economy, and then to support the effect of this paper’s model on the promotion of the development of the local sports economy. The improved genetic algorithm finds the optimal solution for resource allocation in the sports and leisure industry, thus achieving optimization of sports and leisure industry development. And the VAR model analysis found that, in the long run, there is a positive correlation between the development of the sports and leisure industry and local economic growth. In the short term, when the equilibrium state fluctuates, the added value of sports and leisure industry in the current period adjusts to the non-equilibrium state of the previous period with a strength of -0.2526 times, which pulls it back to the long-term equilibrium state. In addition, both the development of the sports and leisure industry and local economic growth are affected by shocks themselves. This paper provides a feasible and practical path to promote local sports economic growth by optimizing the development of sports and leisure industries.