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5 applications of biodiversity metrics
Quantify types of diversity, compare diversity across scales, monitor effects of interventions, analyze relationships, inform action
What is another name for diversity metrics
Diversity indices
Species richness (S or R)
Number of species in an area, all species weighted equally
What is species richness greatly affected by
Sampling area or effort
Common ways to standardize samples for comparison
Sample equal area or equal number of individuals
Does diversity increase or decrease with habitat area
Increase
Species-accumulation or species-area curve
Number of species vs sampling effort
Asymptote on a species-area curve
True total richness of a site
Alpha diversity
Species diversity within a site, single community, or geographic area
How far can richness be extrapolated
2x sample size
When should asymptotic richness be estimated (3)
Curve is already leveling off, sample coverage is high so most individuals are species already sampled, species to compare are approximately equal
Gamma diversity
Total diversity across multiple communities or geographic areas
Beta diversity
Turnover (dissimilarity) between two or more communities

What is average alpha, gamma, and beta
3, 4, 1.33
Species diversity equation
Beta=gamma/alpha or alpha x beta=gamma
What does a Beta=1 mean
Two communities are the same as one community (no turnover)
What do diversity metrics based on species richness not account for
Differences in species proportions or relative abundance
Evenness
How similar the proportions are of each species based on their relative abundance
When is diversity maximized
All species are equally abundant (=R)
Rank-abundance curve
Sort species by proportional abundance, plot abundance vs rank or species ID
Which communities are the most diverse
Perfectly even communities with the greatest richness
Why use a diversity Index (3)
Synthesizes complex community data, combines richness and evenness, enables standardized comparisons between 2 or more communities
Shannon index of diversity
Weights species by their relative abundances to account for evenness, a measure of entropy
Entropy
Uncertainty in identity of randomly selected individual
When is entropy maximized
Many species with equal abundances
When is entropy minimized
All individuals belong to once species
Cons of shannon index of diversity (3)
Difficult to interpret, doesn’t obey mathematical rules, unintuitive
Hill’s numbers
Effective number of species (number of species the sample would have if all species were equally abundant
R
Count of all species present
Hills numbers: what is D when q=0
Species richness (R)
q=0 for species proportions
All species given equal weight (relative abundance not considered)
q=1 for species proportions
Rare and common species are weighted by their proportiona; abundance
0<q<1 for species proportions
Rare species are given greater weight
q>1 for species proportions
Rare species are discounted (given less weight)
What do species accumulation curves show
Number of species as sampling effort increases
Options for comparing diversity across two or more communities (2)
Standardize unequal sample sizes by number of samples or standardize samples by coverage/how representative they are of the whole community
Problem with standardizing by number of samples
Can result in loss of information from larger samples
How to standardize by number of samples
Interpolation/rarefaction of larger samples
Solution to problem of standardizing by number of samples
Extrapolate the smaller samples, but only up to 2n
Coverage
Proportion of the total number of individuals in a community that belong to the species represented in the sample