Human migration is responsible for forming modern civilization and has had an important influence on the development of various countries. There are many issues worth researching, and "the reason to move" is the most basic one. The concept of migration cost in the classical self-selection theory, which was introduced by Roy and Borjas, is useful. However, migration cost cannot address global migration because of the limitations of deterministic and bilateral choice. Following the idea of migration cost, this paper developed a new probabilistic multilateral migration model by introducing the Boltzmann factor from statistical physics. After characterizing the underlying mechanism or driving force of human mobility, we reveal some interesting facts that have provided a deeper understanding of international migration, such as the negative correlation between migration costs for emigrants and immigrants and a global classification with clear regional and economic characteristics, based on clustering of migration cost vectors. In addition, we deconstruct the migration barriers using regression analysis and find that the influencing factors are complicated but can be partly (12.5%) described by several macro indexes, such as the GDP growth of the destination country, the GNI per capita and the HDI of both the source and destination countries.In this globalization wave, the scale and diversity of international migration are increasing sustainably Considering immigrants as the research object, much work has been performed in this field. Aside from research on migration patterns 2-6 , the effects and consequences of international migration have intrigued many researchers. Researchers have discussed the social and economic influence of migration on the origin and destination countries. Generally, the migration of skilled workers benefits destination countries, but the effect on the origin countries is controversial. Some researchers hold that migration is harmful to the origin countries [7][8][9][10] . However, other researchers have identified the potential benefits of brain drain or brain gain [11][12][13][14][15][16][17][18][19] . Although different opinions exist, most studies have acknowledged the importance of migration flows to both the origin and destination countries. Other works have focused on the complex effective factors of human migration. However, most studies use qualitative analyses without quantification. This is because migration is a complex field of research that includes topics from a wide range of fields, such as development, trade, fiscal studies, demography, policy, and human resources 20 . So far, the quantitative analysis and estimation of the factors affecting migration patterns have remained on the research frontier. The reasons for migration are basic and critical; establishing those reasons would help to explain the current circumstances of international migration, predict the evolution of migration patterns, and even design more beneficial migration policies.In quantitative analysis and esti...