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《Journal of Biomathematics》 2010-04

## To Establish the Mathematical Model of Selected Standard Values Based on Correlations Analysis among a Few Component Traits of Yield in Rice

ZHOU Hang-kai HE Jue-min YE Chang-hui GUO Jian-fu (College of Agronomy,Guangdong Ocean University,Zhanjiang Guangdong 524088 China)
The correlation,regression analysis and analysis of linear equations intersect for the quantity traits such as total number of grains per panicles,effective number of panicles per clump,1000-grain weight and grain weight per plant,were studied in 54 hybrid crosses, and to establish the mathematical model of selected standard values in rice.The correlation between the total number of grains per panicles(x_1) and the effective number of panicles per clump (x_2),1000-grain weight(x_3) and grain weight per plant(x_4) respectively was close to remarkable. The multiple-correlations of the four traits were significant remarkable too.It revealed that the component traits of yield influenced and restricted each other,made contradictory integration for yielding.The regression equation of standard x_2,x_3 and x_4 regressed with x_1 respectively were as follow:x_2=0.6797-0.5907x_1,x_3=0.7268-0.4917x_1,x_4=0.2466+0.5053x_1.The equations were grouped according to their tendency and the standard optimum value of four traits were found by mathematical models follow:x_1 was 136.6 grain /panicle,x_2 was 7.72 panicle / clump,x_3 was 23.53g and x_4 was 3.09g.This study suggested that the model had good forecast ability and practicability for breeding of rice.
【Fund】： 广东省“十五”重大科技专项(2001A-2010104);; 国家自然科学基金项目(30100107)
【CateGory Index】： S511
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