大优角蚱卵块外型的数学模型研究及其生态学意义  

Mathematical model of the egg mass of Eucriotettix grandis and its ecological implications

作　　者：白克强[1] 曹成全[2] 宋伟 

机构地区：[1]西南科技大学研究生部,四川绵阳621010 [2]乐山师范学院生命科学学院,四川乐山614004 [3]四川仁智石化科技有限责任公司,四川绵阳621000

出　　处：《昆虫学报》2013年第9期1083-1087,共5页Acta Entomologica Sinica

基　　金：乐山师范学院校级青年教师启动项目(Z1150)

摘　　要：[目的]探究大优角蚱Eucriotettix grandis独特的卵块形态的生态学意义。[方法]在大量野外调查大优角蚱卵块生态学特征的基础上,通过对卵块图片的三维数据点进行截面线抽取,获得卵块截面曲线的拟合方程,并用线条拟合法建立相应的数学模型。依据拟合曲线的曲率图和二阶导数值图对数据拟合曲线的几何特性进行分析。[结果]大优角蚱多以完整卵块的形式产卵,卵块为约六边形的橘子瓣状结构,且卵块顶部有一明显的半球形凹槽,底部则中间略隆起。利用线条拟合理论,构造出既能够有效满足拟合优度,又能够满足光滑度的核函数,通过对函数取值得到模型曲线非常近似拟合于真值曲线。[结论]凹槽很可能是便于存水,保持卵块的湿润,利于卵的存活和孵化;棱角有利于缓解卵块的远距离滚动和破散,紧密结合的卵块结构利于卵的保温保湿。【Aim】 To explore the ecological implications of the unique merogony morphology of Eucriotettix grandis. 【Methods】 Based on a large number of field investigations on the ecological characteristics of egg mass of E. grandis, we got the fitted equation of merogony cross section curve through extracting section line in the three dimensional data point from the photos of egg mass of E. grandis, built the corresponding mathematic model by means of line fitting process, and analyzed the geometrical features of data fitted curve from the aspects of fitted curve curvature and second derivative value map. 【Results】 E. grandis often lays intact egg mass which is near-hexagonal orange segment, with an obvious hemispheric groove on the top and a slightly apophysis in the middle part of the bottom. By using line fitting theory, the kernel function with both the goodness of fit and the smoothness was constructed, and the model curve obtained from the function value fitted quite well with the curve of true value. 【Conclusion】 The groove is probably for water preservation to keep the egg mass moist and make the egg more likely to survive and incubate. The edges and corners are conducive to relieve the long distance rolling and breaking for egg mass, and the tight coupling of egg mass is beneficial to moisturizing the egg.

关 键 词：大优角蚱 卵块 数据拟合 数学模型 生态学意义 

分 类 号：Q965[生物学—昆虫学]