A Proposed Novel Approach in Estimation of Unbiased Community Rarity Using the Locked Matrix and Tsallis Entropy
2024
Kürşad Özkan
The present study offers a new approach to measure unbiased rarity at the community level r q* . In this approach, the locked data matrix (matrix H) and the survey data matrix of the communities (matrix A) play the essential roles. q* q* The core equations of this approach are Tsallis entropy (qS) and bias-corrected Tsallis entropy q S . From the varying value of the Tsallis index (q), q* corresponds to the point in the curve where the relative difference among qS and qSmax values is maximized. AS and AS community data in the A matrix. HS * puted based on the following equation: q R q q q S q q * =1 / * r e denote Tsallis entropy and bias-corrected Tsallis entropy at the q* value using only the species * q* represents the value of Tsallis entropy obtained from the H matrix. q R S is com * * * S S S * H A A Unbiased. q* q* is defined q R S by interpolation and denotes an unbiased community rarity. In the present study, to better explain the proposed approach, a hypothetical community data set containing five com munities was used. Findings indicate that r q* seems to be promising to measure unbiased community rarity. However, its accuracy should, of course, be confirmed by further studies using real ecological data.
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