Computing true species diversity using Shannon entropy-based bias-corrected measures and upper confidence limit value of Pla estimator

Year 2023, Volume: 24 Issue: 3, 235 - 240, 30.09.2023

Kürşad Özkan

https://doi.org/10.18182/tjf.1302074

Abstract

This study was conducted to illustrate how to estimate true species diversity using upper confidence limit value of Pla unbiased estimator (H ̂_ ^e+1,96σ_H^* ) and Shannon entropy-based bias-corrected diversity (SCD) measures (i.e., Jackknife index (JK), bias-corrected maximum likelihood estimator (MLEbc), Chao and Shen bias-corrected estimator (H ̂_CS ), Özkan bias-corrected estimator (H ̂_O ), information theory-based bias-corrected estimator (H ̂_CWJ ), Miller index (H ̂_Miller ) and Grassberger index (H ̂_ψ )). In this regards, firstly JK, MLEbc, H ̂_CS, H ̂_O, H ̂_CWJ, H ̂_Miller, H ̂_ψ and H ̂_ ^e+1,96σ_H^* values of five communities were calculated. Next for each community, true diversity values are calculated using the SCD values below H ̂_ ^e+1,96σ_H^* value.

Keywords

Biodiversity, Shannon index, Rare species, Negative bias, Unbiased species diversity, Incomplete inventory

Shannon entropisi temelli düzeltmeli çeşitlilik ölçümleri ve Pla kestiricisinin üst güven sınır değerini kullanarak gerçek tür çeşitliliğinin hesaplanması

Abstract

Bu çalışma Pla kestiricisinin düzeltilmiş üst güven değeri (H ̂_ ^e+1,96σ_H^* ) ve Shannon entropisi temelli düzeltmeli tür çeşitlilik (SDÇ) ölçümleri (Jackknife indisi (JK), düzeltilmiş en büyük olabilirlik kestiricisi (MLEbc), Chao ve Shen düzeltmeli çeşitlilik eşitliği (H ̂_CS ), Özkan düzeltmeli çeşitlilik kestiricisi (H ̂_O ), Bilgi teorisi temelli düzeltmeli çeşitlilik indisi (H ̂_CWJ ), Miller sapma düzeltme eşitliği (H ̂_Miller ) ve Grassberger sapma düzeltme eşitliği (H ̂_ψ )) kullanılarak gerçek tür çeşitliliğinin nasıl hesaplanabileceği bilgisini vermek amacıyla gerçekleştirilmiştir. Bu doğrultuda ilk olarak 5 toplumun JK, MLEbc, H ̂_CS, H ̂_O, H ̂_CWJ, H ̂_Miller, H ̂_ψ ve H ̂_ ^e+1,96σ_H^* değerleri hesaplanmıştır. Daha sonra her bir toplum için hesaplanan H ̂_ ^e+1,96σ_H^* değerinin altında kalan indis değerleri kullanılarak örnek toplumların gerçek tür çeşitlilik değerleri belirlenmiştir.

Keywords

Biyolojik çeşitlilik, Shannon indisi, Nadir tür, Negatif sapma, Düzeltmeli tür çeşitliliği, Eksik envanter

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