二次回归旋转组合设计在害虫天敌捕食效应研究中的应用

吴进才 沈斌斌

二次回归旋转组合设计在害虫天敌捕食效应研究中的应用

吴进才沈斌斌

QUADRATIC REGRESSION ROTATION COMPOSITE DESIGN AND STUDY ON THE EFFECT OF FOUR SPECIES OF SPIDERS ON THE WHITE-BACKED RICE PLANTHOPPER

Wu Jincai Shen Binbin Pang Xiongfei

摘要

摘要: 本文应用二次回归旋转组合设计研究了四种蜘蛛(食虫瘤胸蛛Oedothorax iasecticeps,拟水狼蛛Pirata subpiratica,粽管巢蛛Clubiona japonicola和菱头跳蛛Bianar hotingchlehi)复合种群对白背飞虱Sogateila furcifera若虫的捕食作用及交互效应。对白背飞虱捕食的数学模型为: Y=13.1492+0.4583x_1-0.125x_2+0.625Zx_3+1.0417X_4+13.9583x_5-0.9375x_1x_2+0.4375x_1x_3-0.0625x_1x_4+2.25x_1x_5+0.1875x_2x_3+0.1875x_2x_4-0.3125x_2x_5-0.6875x_3x_4+0.5625x_3x_5+0.0625x_4x_5+0.1008x_1~2-0.2742x_2~2+1.2258x_3~2+0.1008x_4~2+4.4758x_5~2 对上述模型进行了主效应及两个变量对一个因变量交互作用反应面分析。结果种间、种内个体间均存在干扰效应,这与田间调查结果一致。白背飞虱若虫的被捕食数与四种蜘蛛间形成多种形状的反应面。

Abstract: A mathematical model of the preying of four species of spiders, Oodothorax in-secticeps, Pirata subpiraticus, Clubiona japonicola and Bianar hotingchlechi on the white-backed rice planthopper Sogatella furcifera was studied with quadratic regression rotation composite design and reported in the paper. The mathematical model of the preying of the predators on the white-backed planthopper was asfollows:Y = 13.1492 + 0.4583x1 -0.125x2 + 0.625x3 + 1.0417x4 + 13.9583x5-0.9375x1x2 + 0.4375x1x3 -0.0625x1x4 +2.25x1x5 + 0.1875x2x3 + 0.1875x2x4 - 0.3125x2x5 - 0.6875x3x4 + 0.5625x3x5 + 0.0625x4x6 + 0.1008x12 - 0.2742x22 + 1.2258x32 + 0.1008x42 + 4.4758x52Furthermore, the response surfaces of interaction between two species of spiders were also studied. It proved that there were interference between species and detween individuals of the same species of the four predators.

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