Biodiversity Calculator for the Simpson and Shannon Indexes

Dataset Totals
Total Number of Organisms:	2134	Total Number of Species:	76
Average population size:	28.0789	Decimal Accuracy:	6
Total Number of Regions:	1	Total Number of Region Sets:	1
Alpha Biodiversity [α]
Simpson Index $(∑(ni(ni-1)/(N(N-1))))$	0.0149755	Simpson Index Approximation $(∑((n/N))2)$	0.0154371
Dominance Index $(D = 1 - Simpson)$	0.985024	Dominance Index Approximation $(D = 1 - Simpson)$	0.984563
Reciprocal Simpson Index $(1 / Simpson)$	66.7755	Alternate Reciprocal Simpson Index $(1 / Simpson)$	64.7789
Shannon Index $log$	6.1181	Berger-Parker Dominance Index $S/N^.5$	0.0234302
Shannon Index $ln$	4.24074	Inverted Berger-Parker Dominance Index $S/N^.5$	42.68
Shannon Index $%$	^-1.84173	Margalef Richness Index $S/N^.5$	9.78377
Menhinick Index $S/N^.5$	1.64519	Rényi Entropy/Hill Numbers (r=0,1,2,∞) $e^H/S$	76, 69.4689, 64.7789, ≈∞
Buzas and Gibson's Index $e^H/S$	0.913941	Gini Coeffificient $(2sum(ini)/n*sum(ni))-(N+1)/N$	0.239469
Equitability Index $S/N^.5$	0.979221	ln() of Hill Numbers (0,1,2,∞):	4.33073, 4.24088, 4.17098, ≈^-∞
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:	25.3333	Jaccard Index (%):	^-100%
Mountford Index:	^-0.027027	Number of Common Species:	76
Mountford Index (%):	^-2.7027%	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.