Bowhead whales is an endangered species but they are still hunted by Inuits. How to protect the endangered species and at the same time fulfill people’s need is an important topic in economics. Resource economics and Welfare economics are two branches of economics and both of them give some answer. However, economic efficiency may not be preferred because it doesn’t lead to society welfare in realities. Considering the bowhead whale problem, a simulation was done in this paper to find the catch limit which can fulfill the Inuits’ need and meanwhile, protect the whale from extinction.It is very important to make clear the structure of the stock toprotect the biodiversity of the species. Chukchi Circuit hypothesis was put forward and Jorde. et. al (2004) found the “Oslo bump” of thepair-wise microsatellite differences in data from whales landed duringthe autumn migration at Barrow. The simulation of BCB whale migrationhypothesis based on Dirichlet distribution has never been made beforeand will be done in this paper. 54 samples landed at Barrow in Autumnwere studied, with genetic measurement on 11 loci. The results showthat to get a neat bump, very extreme parameter will be required.