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Total abundance ( N ) number of individuals Species richness ( S ) number of species. S ≤ N. Rank-abundance distribution (RAD). Abundance. Rank in abundance. Rank-abundance distribution (RAD). Abundance. Rank in abundance. n 1 + n 2 +…+ n S = N. Abundance. Rank in abundance. - PowerPoint PPT Presentation
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Total abundance (N)number of individuals
Species richness (S) number of species
S ≤ N
Rank-abundance distribution (RAD)
Rank in abundance
Abun
danc
e
Rank-abundance distribution (RAD)
Rank in abundance
Abun
danc
e
Abun
danc
e
Rank in abundance
n1+n2+…+nS = N
N=50, S=10
16,958 forms of the RAD
Rank in abundance
Abun
danc
e
The feasible set(all possible shapes of the RAD)
16,958 shapes forQ = 50 & N = 10
Rank in abundance
Abun
danc
e
Mapping the feasible setln
(abu
ndan
ce)
Rank in abundance
N=1,000S=80
The center of the feasible setln
(abu
ndan
ce)
Rank in abundance
N=500S=50
R2 = 0.93
100 101 102
102
101
100
Obs
erve
d ab
unda
nce
Abundance at center of the feasible set
Obs
erve
d ab
unda
nce
Abundance at center of the feasible set
0.74 0.84
0.78 0.80
0.85
0.76
Total (N)number of individual ‘things’
Entities (S)number of groups of ‘things’
S ≤ N
Expected home runs
Obs
erve
d ho
me
runs
0.93 0.88
0.91 0.91
0.94 0.93
http://mlb.mlb.com
0.91
Expected
Obs
erve
dUrban population sizes
among nations(1960-2009, rescaled)
Oil related CO2 emission among nations
(1980-2009, rescaled)
0.92
Obs
erve
dExpected
Total (N)number of individual ‘things’
Entities (S)number of groups of ‘things’
S ≤ N
den
sity
Species evenness (Evar)
Species evenness for all possible RADs
N = 50, S = 20
N = 50, S = 10
den
sity
Species evenness (Evar)
Species evenness for all possible RADs
N = 50, S = 20
N = 50, S = 10
Per
cent
ile o
f fea
sibl
e se
t
Evenness
Normalized rank
ln(a
bund
ance
)
AcknowledgementsFor collecting, managing and providing datasets:North American Breeding Bird SurveyChristmas Bird CountGentry’s Forest Transect DataForest Inventory and Analysis datasetMicrobial metagenomic datasets accessed from MG-RASTMammal Community Database
Awesome folks:X. Xiao, D. McGlinn, J. Kitzes, James O’Dwyer
Funding: CAREER grant from the U.S. National Science Foundation to EPW (DEB-0953694)Research grant from Amazon Web Services
Other Support:Utah State University’s Department of Biology and the Ecology Center
