There are some common problems in the study of driving forces of landscape pattern change and ecological environment effects,such as the uncertainty of data,insufficiency of sample of the time series data,and "noise" disturbance.After these questions are described,this paper explains the principles and application background of gray analysis method,maximum likelihood method,and Panel Data model.Then,dynamic of yearly runoff into the Dongting Lake,hydrology response to change of landscape pattern in Xiangjiang River basin,and driving forces of landscape pattern change in Dongting Lake watershed are selected to test the result in the use of these non-statistical methods.Results show that the methods are effective,specially when they are combined with the classical statistics methods such as correlation analysis and principal components analysis.Therefore,the research efficiency and scientific level of the results can be further improved.