The Leaves of a Tree

Authors: Zhu Jiaming, Yu Mengna

Abstract:

In this article, models based on quantitative analysis, physical geometry and regression analysis are established, by using analytic hierarchy process analysis, fuzzy cluster analysis, fuzzy photographic and data fitting. The reasons of various leaf shapes among different species and the differences between the leaf shapes on same tree have been solved by using software, such as Eviews, VB and Matlab. We also successfully estimate the leaf mass of a tree and the correlation with the tree profile.

Keywords: Leaf shape; Mass; Fuzzy cluster; Regression analysis; Eviews; Matlab

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1075899

References:

[1] http://baike.baidu.com/view/5626.htm.
[2] Wei Ming, Why do leaves have so many shapes, Discovery of Nature, 2011.4, Sichuan Science and Technology Press.
[3] Subject Database of China Plant. http://www.plant.csdb.cn/#.
[4] Plant Database, http://1.zhiwutong.com/.
[5] Plants Pictures, http://www.zhiwutong.com/tu.htm.
[6] Yang Guiyuan, Huang Jili, Fuzzy Clustering Mathematical Modeling.2-3 University of Science & Technology China press.