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Pedodiversity
book

Pedodiversity

by Juan José Ibáñez, James G. Bockheim
April 2013
Intermediate to advanced content levelIntermediate to advanced
256 pages
8h 22m
English
CRC Press
Content preview from Pedodiversity
34 Pedodiversity
functions may be applicable to any set of classes of events C(O) for which
the weight can be made relative to the total weight, i.e., p
i
= w
i
=
Q
i
/ΣQ
i
,
with Σp
i
=1.
4.1 Crispy diversity measures
These measures correspond to the formulas of entropies (H) of Rényi
(1961), Patil and Taillie (1976) and of Hill (1973) that are respectively
known as alpha-diversity, beta-diversity and N-diversity.
The fi rst is:
α
α
α
Σ
==
1
ln
)(
ii
p
HOD
α
α
α
1)
The second is:
β
β
β
)1(
)(
1+
Σ−
==
ii
p
HOD
β
β
β
2)
The third is:
()
1
1
()
i
a
a
ai
DO N p
==Σ
(
(
3)
The parameters α, β and a defi ne an infi nite number of possible “point
measures” of diversity for the corresponding formulas, ...
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Publisher Resources

ISBN: 9781466582774