Biodiversity Calculator for the Simpson and Shannon Indexes

Dataset Totals
Total Number of Organisms:	2217	Total Number of Species:	73
Average population size:	30.36986	Decimal Accuracy:	7
Total Number of Regions:	1	Total Number of Region Sets:	1
Alpha Biodiversity [α]
Simpson Index $(∑(ni(ni-1)/(N(N-1))))$	0.01526032	Simpson Index Approximation $(∑((n/N))2)$	0.0157045
Dominance Index $(D = 1 - Simpson)$	0.9847397	Dominance Index Approximation $(D = 1 - Simpson)$	0.9842955
Reciprocal Simpson Index $(1 / Simpson)$	65.52942	Alternate Reciprocal Simpson Index $(1 / Simpson)$	63.67603
Shannon Index $log$	6.07762	Berger-Parker Dominance Index $S/N^.5$	0.02210194
Shannon Index $ln$	4.212685	Inverted Berger-Parker Dominance Index $S/N^.5$	45.2449
Shannon Index $%$	^-1.829546	Margalef Richness Index $S/N^.5$	9.345903
Menhinick Index $S/N^.5$	1.550387	Rényi Entropy/Hill Numbers (r=0,1,2,∞) $e^H/S$	73, 67.54569, 63.67603, ≈∞
Buzas and Gibson's Index $e^H/S$	0.9251729	Gini Coeffificient $(2sum(ini)/n*sum(ni))-(N+1)/N$	0.2203026
Equitability Index $S/N^.5$	0.9818727	ln() of Hill Numbers (0,1,2,∞):	4.290459, 4.212804, 4.153808, ≈^-∞
Beta Biodiversity [β] Comparing two sample areas
Absolute beta Value ((S₀-c)-(S₁-c)...):	72	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:	24.33333	Jaccard Index (%):	^-100%
Mountford Index:	^-0.02816901	Number of Common Species:	73
Mountford Index (%):	^-2.816901%	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.