Using Hellinger Distance to Compare the Similarity of Two Communities

• Main Author: 林政瑋
• Other Authors: 潘宏裕
• Format: Others
• Language: zh-TW
• Published: 2011
• Online Access: http://ndltd.ncl.edu.tw/handle/85152037429713168188

碩士 === 國立嘉義大學 === 應用數學系研究所 === 99 === In environmental ecology, the ecologists often use similarity index to explore the species structure of two communities. But some ecologists think that the similarity index is not the only feasible way, using the difference between the two communities is also available to explore the of species structure. So the distance index can be derived from this idea. In this thesis, we discusses the index of Hellinger distance from the distance index, and find its estimator by the method of moments. From the simulation results can be found the estimation is overestimated, so we need to correct the estimation by Cubic Spline Interpolation, and use condition number of matrix to analyze the approach. We evaluated the performance of corrected estimation by changing the sample size and the number of shared species in the simulation result. Finally, we will use the estimation to analysis the marine organism in Haomei Village, Chiayi County, Taiwan.