Research on the Intergenerational Transmission of Poverty in Rural China Based on Sustainable Livelihood Analysis Framework: A Case Study of Six Poverty-Stricken Counties

China’s complicated and diverse poverty problems gradually emerged as poverty alleviation efforts deepened and rural urbanization progressed. Among these problems, the intergenerational transmission of poverty (ITP) is the most prominent and is an entrenched issue in rural China. This study selects six typical poverty-stricken counties in the eastern, central, and western regions of China on the basis of geography and uses the transformation matrix method and a regression model to analyze the regional differentiation characteristics of ITP. We further explore its impact mechanisms based on a sustainable livelihood analysis framework with the following results: (1) ITP in rural China exhibits the phenomenon of income-stratified transmission, and the groups at both ends of the low-income spectrum are more prone to having ITP; (2) ITP and the intergenerational mobility of income for different income levels have different spatial distribution characteristics, with these intergenerational relationships exhibiting a reverse variation trend in the eastern region, while exhibiting a codirectional variation trend in the central and western regions; (3) there are differences in the subsistence livelihood capital, which affect ITP in different regions. Financial capital has a significant impact on ITP across all of China. Natural capital has a significant impact on the eastern region, and physical capital plays a significant role in the central region, while the western region is greatly affected by both human and physical capital. In view of the differences in the influence of livelihood capital on ITP in different regions, China should formulate policies to accurately address ITP in order to narrow regional differences and accelerate the comprehensive construction of a financially affluent society