A combination of grey GM(1,1) with Markov predictiori medels is advantangeous inforecasting more accurately a sequence of greater stochasticity and fluctuation, The combinedversion, called the grey-Markov prediction model,is employed for investigating a time series ofAletai goat/sheep mortality rate and forecasting the misfort une in the years to follow, thusproviding a scientific basis for the graziery and d isaster pervention/reduction over Aletai ofXinjiang Province.