Journal of Physics: Conference Series 726
, 012024 (2016)
On application of non–extensive statistical mechanics to studying ecological diversity
Le Van Xuan, Nguyen Tri Lan, and Nguyen Ai Viet
The concept of Tsallis entropy provides an extension of thermodynamics and statistical physics. In the ecology, Tsallis entropy is proposed to be a new class of diversity
indices Sq which covers many common diversity indices found in ecological literature. As a new statistical model for the Whittaker plots describing species abundance distribution, the truncated exponential distribution is used to calculate the diversity and evenness indices. The
obtained results in new model are graphically compared with those in previous publication in the same field of interests, and shows a good agreement. A further development of a thermodynamic theory of ecological systems that is consistent with entropic approach of statistical physics is motivated.