Biodiversity Calculator for the Simpson and Shannon Indexes

Dataset Totals
Total Number of Organisms:	534	Total Number of Species:	18
Average population size:	29.67	Decimal Accuracy:	4
Total Number of Regions:	1	Total Number of Region Sets:	1
Alpha Biodiversity [α]
Simpson Index $(∑(ni(ni-1)/(N(N-1))))$	0.06165	Simpson Index Approximation $(∑((n/N))2)$	0.0634
Dominance Index $(D = 1 - Simpson)$	0.9384	Dominance Index Approximation $(D = 1 - Simpson)$	0.9366
Reciprocal Simpson Index $(1 / Simpson)$	16.22	Alternate Reciprocal Simpson Index $(1 / Simpson)$	15.77
Shannon Index $log$	4.065	Berger-Parker Dominance Index $S/N^.5$	0.08427
Shannon Index $ln$	2.818	Inverted Berger-Parker Dominance Index $S/N^.5$	11.87
Shannon Index $%$	^-1.224	Margalef Richness Index $S/N^.5$	2.707
Menhinick Index $S/N^.5$	0.7789	Rényi Entropy/Hill Numbers (r=0,1,2,∞) $e^H/S$	18, 16.74, 15.77, ≈∞
Buzas and Gibson's Index $e^H/S$	0.9297	Gini Coeffificient $(2sum(ini)/n*sum(ni))-(N+1)/N$	0.2129
Equitability Index $S/N^.5$	0.9748	ln() of Hill Numbers (0,1,2,∞):	2.89, 2.818, 2.758, ≈^-∞
Beta Biodiversity [β] Comparing two sample areas
Absolute beta Value ((S₀-c)-(S₁-c)...):	17	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:	6	Jaccard Index (%):	^-100%
Mountford Index:	^-0.125	Number of Common Species:	18
Mountford Index (%):	^-12.5%	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.