Environmental Engineering Reference
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of unit biovolume and species count. The use of phy-
toplankton biovolume as an index of overall phy-
toplankton biomass complements the different, more
direct bulk analysis techniques noted earlier (see Sec-
tion 2.3), and avoids some of the pitfalls associated
with each of these methods. A further advantage of
biovolume calculation is that total changes in
P
b
can
be related to individual algal species and genera,
thus providing insight into phytoplankton dynamics
within the lake ecosystem.
If biovolume determinations are valid, then
changes in
P
b
(e.g. with seasonal progression)
should parallel bulk determinations of phytoplankton
biomass. In many situations (as shown in Fig. 2.8)
there does appear to be a good correlation, with
total biovolumes showing corresponding increases to
chlorophyll-
a
concentration during spring and sum-
mer algal blooms, and an inverse relationship to Sec-
chi depth.
Margalef index (
d
)
This index (Margalef, 1958)
avoids the complication of sample size by incorpo-
rating the number of individuals (
N
)inthesample.
The index thus provides a measure of the number of
species relative to the overall sample size, where
d
= (
S
− 1)∕log
e
N
(2.10)
Species evenness/dominance
The evenness of species occurrence is also an impor-
tant measure of biodiversity. Considering two hypo-
thetical samples (I and II), each composed of four
species (A, B, C and D):
Sample I. Total 100 individuals; species A (25), B
(25), C(25) and D (25).
Sample II. Total 100 individuals; species A (94), B
(2), C (2) and D (2).
2.5.5 Indices of biodiversity
Determinations of species counts (see Section 2.5.3)
and biovolumes (see Section 2.5.4) can be used to
estimate biodiversity within mixed-species algal pop-
ulations (Sigee, 2004). Most estimates of algal diver-
sity are based on species counts, which can be used to
generatebioindicesofthreemaintypes-speciesrich-
ness, species evenness/dominance and a combined
index of species diversity.
Sample I would be regarded as more diverse than
sample II, though species richness is the same. Sam-
ple I has a greater evenness of species occurrence,
but a lower dominance of any species. Sample II is
the converse.
Species evenness may be determined as Pielou's
evenness index (
J
′
):
J
′
=
H
′
(observed)∕
H
′
max
(2.11)
Species richness
where
H
′
max
is the maximum possible diversity that
would occur if all species were equally abundant.
Dominance is the converse of evenness and can
be determined using the Simpson index (
D
), which
relates the number of individuals in each species (
n
i
)
to the total number of individuals in the sample (
N
):
This index relates to the total number of species
present in the population sample - the greater the
number of species the greater the measure of biodi-
versity. Species richness may be assessed in two main
ways:
Total number of species (
S
)
Species richness
is often determined simply in relation to the total
numberofspecies.Themajorproblemwiththisindex
is that the value
S
may depend on sample size - the
bigger the sample the more species there are likely
to be.
D
=
∑
(
n
i
∕
N
2
)
(2.12)
Comparison of indices for species evenness and dom-
inance over a number of population samples shows a
clear inverse relationship.
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