Biodiversity Calculator for the Simpson and Shannon Indexes

Dataset Totals
Total Number of Organisms:	2485	Total Number of Species:	76
Average population size:	32.69737	Decimal Accuracy:	7
Total Number of Regions:	1	Total Number of Region Sets:	1
Alpha Biodiversity [α]
Simpson Index $(∑(ni(ni-1)/(N(N-1))))$	0.01432071	Simpson Index Approximation $(∑((n/N))2)$	0.01471736
Dominance Index $(D = 1 - Simpson)$	0.9856793	Dominance Index Approximation $(D = 1 - Simpson)$	0.9852826
Reciprocal Simpson Index $(1 / Simpson)$	69.82896	Alternate Reciprocal Simpson Index $(1 / Simpson)$	67.94698
Shannon Index $log$	6.156006	Berger-Parker Dominance Index $S/N^.5$	0.02012072
Shannon Index $ln$	4.267018	Inverted Berger-Parker Dominance Index $S/N^.5$	49.7
Shannon Index $%$	^-1.853142	Margalef Richness Index $S/N^.5$	9.593212
Menhinick Index $S/N^.5$	1.524581	Rényi Entropy/Hill Numbers (r=0,1,2,∞) $e^H/S$	76, 71.31529, 67.94698, ≈∞
Buzas and Gibson's Index $e^H/S$	0.938272	Gini Coeffificient $(2sum(ini)/n*sum(ni))-(N+1)/N$	0.1977602
Equitability Index $S/N^.5$	0.9852876	ln() of Hill Numbers (0,1,2,∞):	4.330733, 4.267111, 4.218728, ≈^-∞
Beta Biodiversity [β] Comparing two sample areas
Absolute beta Value ((S₀-c)-(S₁-c)...):	75	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:	25.33333	Jaccard Index (%):	^-100%
Mountford Index:	^-0.02702703	Number of Common Species:	76
Mountford Index (%):	^-2.702703%	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.