Abstract: This paper first reports a mathematical statistic method by which selective precision can be increased when breeding population number is less than that of selective characters. By standardized data processing, correlation analysis and selection of variables, the predict contribution of 10 selection breeding objective in new poplar varieties to their economical income has been estimated and evaluated, regression diagnosis has been carried out for abnormal points of original data based on the analysis of residuals. With several policy-making schemes, new poplar variety NL-80105 has been selected whose synthetical characters, such as yield, tree form quality, resistance and wood property in the region of Huang-Huai-Hai have been improved on the highest level. The development of this new variety in Huang-Huai-Hai region will make economical profit of poplar wood to raise thirty-three thousand yuan per ha at 5-year-old.

Key words: Poplar, Economical genetics, Mathematical model, Optimum selection