Program

P.55 -- Poster, NCTP-40

Date: Tuesday, 28 July 2015

Time: 08h30 - 10h00

On the applications of non extensive statistical mechanics to studying ecological diversity

Le Van Xuan (1), Nguyen Tri Lan (2) and Nguyen Ai Viet (2)

(1) Hanoi College of Technology and Economy, Dong Xuan, Soc Son, Ha Noi, Viet Nam (2) Institute of Physics, Vietnam Academy of Science and Technology, 10 Dao Tan, Ha Noi, Viet Nam

Several indices have been proposed to estimate diversity, and the most well—known are the Shannon-Wiener ($H$) and Simpson ($D$) indices along with the number of species ($S$) and evenness ($E$), It is not clear which index is more effectively applicable in a certain context. However, a non extensive entropy (Tsallis entropy) has probably potential to explore insights of these problems. In this work, a family of diversity indices ($S_q$ where $q$ is the Tsallis index) and evenness ($E_q$), based on Tsallis entropy that incorporates the most used indices is explored. In addition, the ecological properties of $E_q$ and $S_q$ are also discussed.

Presenter: Le Van Xuan