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Measurement of Producer Services Agglomeration Level and Influence Factor Analysis : —Based on Panel Data of Provinces along the Belt & Road

This paper is an interdisciplinary research article related to mathematics, and uses panel data of 16 provinces along the belt and road in 2012-2018 as the research object. First , it uses the mathematical formula of the location quotient to calculate the location index of the productive service industry in the provinces along the belt and road, so as to obtain the agglomeration level of the productive service industry in the provinces along the belt and road. Then, the index system of the influencing factors of producer services agglomeration is constructed, and the partial least squares structural equation model is used to explore the mechanism and degree of the influencing factors. The empirical research shows that urbanization rate, government intervention, public service investment, manufacturing development and financial industry development have positive and significant impact on the agglomeration of producer services, while Internet construction will indirectly affect the agglomeration of producer services through the development of manufacturing industry and financial industry.