Withthe development of economic globalization, economic crisis, sudden publichealthevents, trade friction and international military conflict are constantlyimpacting China's economic development, increasing risks and uncertainties. Howto resist the internal and external shocks, crises and risks, improve theresilience of regional economic response to shocks, to achieve steady economicgrowth is increasingly valued by the state and governments at all levels.

Inthis paper, the Beijing Tianjin and Hebei region is taken as the research area,and on the basis of the research results of economic resilience at home andabroad, based on the four criteria of economic stability, economic diversity,economic innovation ability and economic system vitality, the evaluation indexsystem of economic toughness in Beijing Tianjin and Hebei region is constructedby using entropy method, the paper calculates the economic toughness index andthe toughness index of each criterion layer of the Beijing Tianjin and Hebeiregion and its 13 cities from 2005 to 2020, and analyzes the evolutioncharacteristics, spatial differentiation and development model of the economictoughness from time and space. Secondly, combining the actual cases of"global economic crisis in 2008" and "new crown epidemic in2019", the differences of economic resilience among 13 cities in BeijingTianjin and Hebei region are compared and analyzed, to reveal the ability ofdifferent cities to cope with different shock events. Finally, the obstacledegree model is used to analyze the obstacle degree and main obstacle factorsof each criterion layer in Beijing Tianjin and Hebei region and 13 cities.

The results show that: (1) in terms of time evolution, the regional economic toughness of Beijing Tianjin and Hebei region is on the whole increasing,showing a rising trend of fluctuation;. On the city territory, Beijing Tianjinand Hebei region cities economic resilience stage obvious, Beijing and Tianjintwo cities economic resilience level is high, and there is a fault-type gapwith Hebei province cities, Hebei province cities economic resilience presentsthree echelon characteristics; The developing trend and speed of the toughnessof each criterion layer are different. (2) in terms of spatial differentiation,on the whole, the economic toughness in the Beijing Tianjin and Hebei regionpresents a distribution pattern of " Beijing and Tianjin extremelyhigh-mid-Hebei high-southern Hebei low-eastern Hebei low-northern HebeiLow", there was no uniform distribution pattern, and the distribution area varied greatly from year to year. (3) as for the development model, Beijing and Tianjin are the "three-high model", Shijiazhuang is the "Medium-high Model", Handan is the "high-high school model" and Langfang is the "high-high school model", Cangzhou is the "three-medium model", Qinhuangdao is the "Low-medium Model", Baoding is the "low-low-high model", Zhangjiakou is the "Low-medium-low Model", Tangshan, Xingtai, Chengde and Hengshui are the "three low modes". (4) in response to specific events, the response capacity of Beijing Tianjin and Hebei region to the global economic crisis showed a three-echelon distribution, the response capacity to the new crown epidemic showed polarization.different types of cities have different resistances to impact events, which are mainly influenced by the degree of industrial structure diversification and dominant industries.

Finally,by calculating the obstacle degree of the whole Beijing Tianjin and Hebeiregion and the provincial units, this paper analyzes the obstacle factors thataffect the development of the economic toughness, and on this basis, putsforward some suggestions on the optimization of the economic toughness of theBeijing Tianjin and Hebei region.