Biodiversity Calculator for the Simpson and Shannon Indexes

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Dataset Totals
Total Number of Organisms:	315	Total Number of Species:	12
Average population size:	26.25	Decimal Accuracy:	7
Total Number of Regions:	1	Total Number of Region Sets:	1
Alpha Biodiversity [α]
Simpson Index $(∑(ni(ni-1)/(N(N-1))))$	0.09552118	Simpson Index Approximation $(∑((n/N))2)$	0.09839254
Dominance Index $(D = 1 - Simpson)$	0.9044788	Dominance Index Approximation $(D = 1 - Simpson)$	0.9016075
Reciprocal Simpson Index $(1 / Simpson)$	10.46888	Alternate Reciprocal Simpson Index $(1 / Simpson)$	10.16337
Shannon Index $log$	3.459065	Berger-Parker Dominance Index $S/N^.5$	0.1492063
Shannon Index $ln$	2.397641	Inverted Berger-Parker Dominance Index $S/N^.5$	6.702128
Shannon Index $%$	^-1.041282	Margalef Richness Index $S/N^.5$	1.912188
Menhinick Index $S/N^.5$	0.6761234	Rényi Entropy/Hill Numbers (r=0,1,2,∞) $e^H/S$	12, 10.99807, 10.16337, ≈∞
Buzas and Gibson's Index $e^H/S$	0.9164338	Gini Coeffificient $(2sum(ini)/n*sum(ni))-(N+1)/N$	0.234127
Equitability Index $S/N^.5$	0.9648818	ln() of Hill Numbers (0,1,2,∞):	2.484907, 2.397719, 2.31879, ≈^-∞
Beta Biodiversity [β] Comparing two sample areas
Absolute beta Value ((S₀-c)-(S₁-c)...):	11	Whittaker's Index (S/alpha):	1
Sørensen's similarity index:	1	Alternate Whittaker's Index (S/alpha-1):	0
Sørensen's similarity index (%):	100%	Jaccard Index:	^-1
Routledge beta-R Index:	4	Jaccard Index (%):	^-100%
Mountford Index:	^-0.2	Number of Common Species:	12
Mountford Index (%):	^-20%	Bray Curtis dissimilarity	0
Gamma Biodiversity [γ] Comparing many sample areas
Absolute gamma (S₀+S₁...-c):	0
By the definitions used in this calculator, Alpha indices are for a single sample of a single region. This is the most typical way to study and measure biodiversity. These indices are calculated with all data provided to the calculator as a single sample, if you are unsure which indices to use, start with Alpha values. Beta diversity indices compare two sample regions for "similarity" and other correlations of biodiversity between two different areas/regions. For example, studies of mammal populations in 2.5 x 10⁵ hectares of the Rocky Mountains compared to mammal populations in 2.5 x 10⁵ hectares of the Alps. This is less common and requires careful, consistent data collection to be useful. Gamma diversity indices calculator for large or global areas, where many samples are being compared, and are the rarest to use in published studies and articles.