Biodiversity Calculator for the Simpson and Shannon Indexes

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Dataset Totals
Total Number of Organisms:	1094	Total Number of Species:	35
Average population size:	31.25714	Decimal Accuracy:	7
Total Number of Regions:	1	Total Number of Region Sets:	1
Alpha Biodiversity [α]
Simpson Index $(∑(ni(ni-1)/(N(N-1))))$	0.03186473	Simpson Index Approximation $(∑((n/N))2)$	0.03274968
Dominance Index $(D = 1 - Simpson)$	0.9681353	Dominance Index Approximation $(D = 1 - Simpson)$	0.9672503
Reciprocal Simpson Index $(1 / Simpson)$	31.38266	Alternate Reciprocal Simpson Index $(1 / Simpson)$	30.53465
Shannon Index $log$	5.019985	Berger-Parker Dominance Index $S/N^.5$	0.04387569
Shannon Index $ln$	3.479588	Inverted Berger-Parker Dominance Index $S/N^.5$	22.79167
Shannon Index $%$	^-1.511166	Margalef Richness Index $S/N^.5$	4.858812
Menhinick Index $S/N^.5$	1.05818	Rényi Entropy/Hill Numbers (r=0,1,2,∞) $e^H/S$	35, 32.44958, 30.53465, ≈∞
Buzas and Gibson's Index $e^H/S$	0.9270387	Gini Coeffificient $(2sum(ini)/n*sum(ni))-(N+1)/N$	0.2173936
Equitability Index $S/N^.5$	0.9786913	ln() of Hill Numbers (0,1,2,∞):	3.555348, 3.479687, 3.418862, ≈^-∞
Beta Biodiversity [β] Comparing two sample areas
Absolute beta Value ((S₀-c)-(S₁-c)...):	34	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:	11.66667	Jaccard Index (%):	^-100%
Mountford Index:	^-0.06060606	Number of Common Species:	35
Mountford Index (%):	^-6.060606%	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.