Biological diversity can be quantified in many different ways. The two main factors taken into account when measuring diversity are richness and evenness. Richness is a measure of the number of different kinds of organisms present in a particular area. For example, species richness is the number of different species present. However, diversity depends not only on richness, but also on evenness. Evenness compares the similarity of the population size of each of the species present.
1. Richness
The number of species per sample is a measure of richness. The more species present in a sample, the 'richer' the sample.
Species richness as a measure on its own takes no account of the number of individuals of each species present. It gives as much weight to those species which have very few individuals as to those which have many individuals. Thus, one daisy has as much influence on the richness of an area as 1000 buttercups.
2. Evenness
Evenness is a measure of the relative abundance of the different species making up the richness of an area.
To give an example, we might have sampled two different fields for wildflowers. The sample from the first field consists of 300 daisies, 335 dandelions and 365 buttercups. The sample from the second field comprises 20 daisies, 49 dandelions and 931 buttercups (see the table below). Both samples have the same richness (3 species) and the same total number of individuals (1000). However, the first sample has more evenness than the second. This is because the total number of individuals in the sample is quite evenly distributed between the three species. In the second sample, most of the individuals are buttercups, with only a few daisies and dandelions present. Sample 2 is therefore considered to be less diverse than sample 1.
There are several ways to determine biodiversity incorporating terrestrial or aquatic macroinvertebrates, local bird populations or campus critters. Click
for ScienceNetLinks, an internet resource for standards-based science education.
The following is an easy laboratory experiment using terrestrial macroinvertebrate to compare different communities for biodiversity and percent similarity.
BIODIVERSITY
I.
Introduction
Diversity is a characteristic of community level
ecology. Community diversity can be
compared between different habitats, over time in the same habitat, and between
similar habitats in different locations.
Diversity indices are calculated so mathematical (statistical)
comparisons can be made. We will collect
field data of invertebrate diversity from several different locations on
campus.
The
Brockport campus was once farmland. The land was plowed and crops were
grown. Since the purchase of this land
for the SUNY Brockport campus, buildings and athletic fields were constructed,
lawns created, and parking lots paved. Some of the land however was left
untouched, or was mowed for a short time, or mowed every few years. This has left areas in different stages of soil,
plant, invertebrate and therefore community succession.
Calculating Community similarity and diversity
Indices
Biological systems are organized on many
different levels: molecules, cells,
organisms, populations, communities and ecosystems. Species diversity is
a characteristic unique to the community level of biological organization.
Higher species diversity is generally thought to indicate a more complex and
healthier community because a greater variety of species allows for more
species interactions and indicates good environmental conditions. A variety of diversity
indices can be calculated to compare ecological communities. In addition,
pairs of communities can be compared using community similarity indices.
Species diversity has two parts. Richness
refers to the number of species found in a community and evenness refers
to the relative abundance of each species. A community is said to have high
species diversity if many nearly equally abundant species are present. If a
community has only a few species or if only a few species are very abundant,
then species diversity is low. Consider a community with 100 individuals
distributed among 10 species. It should make sense that if there are 10
individuals in each of the 10 species in the community it is more diverse than
if there are 91 individuals in one species and one individual in each of the
other nine species.
To give another example, we
might have sampled two different fields for wildflowers. The sample from the
first field consists of 300 daisies, 335 dandelions and 365 buttercups. The
sample from the second field comprises 20 daisies, 49 dandelions and 931
buttercups (see the table below). Both samples have the same richness (3
species) and the same total number of individuals (1000). However, the first
sample has more evenness than the second. This is because the total number of
individuals in the sample is quite evenly distributed between the three
species. In the second sample, most of the individuals are buttercups, with
only a few daisies and dandelions present. Sample 2 is therefore considered to
be less diverse than sample 1.
|
|
Numbers of individuals
|
|
Flower Species
|
Sample 1
|
Sample 2
|
|
Daisy
|
300
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20
|
|
Dandelion
|
335
|
49
|
|
Buttercup
|
365
|
931
|
|
Total
|
1000
|
1000
|
A community dominated
by one or two species is considered to be less diverse than one in which
several different species have a similar abundance.
As species richness and
evenness increase, so diversity increases. Simpson's Diversity Index is a
measure of diversity which takes into account both richness and evenness.
Simpson's Diversity Index is a measure of diversity. In
ecology, it is often used to quantify the biodiversity of a habitat. It takes
into account the number of species present, as well as the abundance of each
species.
Simpson's Diversity
Indices
The term 'Simpson's
Diversity Index' can actually refer to any one of 3 closely related indices.
Simpson's Index (D) measures the probability that two individuals
randomly selected from a sample will belong to the same species (or some
category other than species). There are two versions of the formula for
calculating D, either
is acceptable, but be consistent.
|
D = (n / N)2
|
|
|
n = the total number of organisms of a
particular species
N = the total number of organisms of
all species
|
The value of D ranges between 0 and 1
With this
index, 0 represents infinite diversity and 1, no diversity. That is, the bigger
the value of D, the lower the diversity. This is neither intuitive nor logical,
so to get over this problem, D is often subtracted from 1 to give:
Simpson's
Index of Diversity 1 - D
The value of
this index also ranges between 0 and 1, but now, the greater the value, the
greater the sample diversity. This makes more sense. In this case, the index
represents the probability that two individuals randomly selected from a sample
will belong to different species.
Another way of
overcoming the problem of the counter-intuitive nature of Simpson's Index is to
take the reciprocal of the Index:
Simpson's
Reciprocal Index 1 / D
The value of
this index starts with 1 as the lowest possible figure. This figure would
represent a community containing only one species; the higher the value, the
greater the diversity. The maximum value is the number of species (or other
category being used) in the sample. For example if there are five species in
the sample, then the maximum value is 5.
II.
Assignment
Today we
will sample leaf litter to determine the relative diversity of invertebrate.
The three lab sections will sample from different locations on campus and share
relative data. Using a 1 m x 1 m box transect you will leaf litter within for analysis. All leaf matter from this area will be collected and transferred back to the lab for analysis. The material will be placeed in a
Berlese funnel apparatus consisting of of a funnel lined with
screening (or a large piece of screening over a tray). A light source is placed above the funnel and heats the leaf litter.
The purpose of this apparatus is to collect the tiny invertebrates from the
sample as they fall into a sample collection jar located below the funnel. After
a period of one hour, you will record the number of invertebrates and calculate
the Simpson's Diversity Index (1-D) for the samples from all lab groups. Your
assignment is to answer the following questions and include all relevant
equations based on the data you collected, analyzed and interpreted.
Exercise 1:
Simpson's Index of Diversity
Simpson's Index calculates the
probability that two invertebrates sampled from a community will belong to
different species (the more even the abundance of individuals across species,
the higher the probability that the two individuals sampled will belong to
different species). Simpson's Index values range from 0 to 1, with 1
representing perfect evenness (all species present in equal numbers). The formula
for Simpson's Index of Diversity is:
Ds = 1
- Sum (ni*(ni-1)) (Equation 2)
Sum (N*(N-1))
--add all ni*(ni-1) values together, ni = the number of individuals in the ith species collected, and N = the total number of
organisms in the sample. For example, suppose you collected 3 species with 40,
25 and 15 individuals, respectively.
Ds = 1 - 40(39)
+ 25(24) + 15(14)
80(79)
= 1 - 2370
6320
= 1 - 0.375
= 0.625
**Calculate
the Simpson's Diversity Index (1-D) for all areas samples (Wed morning lab, Wed
evening lab and Fri morning lab).
Exercise 2:
Calculating the Proportional Index of Community Percent Similarity
A good way to compare communities in different
places (e.g., middle and lower Sandy Creek) or at different times (e.g., lower Sandy Creek
in spring and fall), is to use measures of community similarity. We will use a
simple measure, called Percent Similarity, to compare the invertebrate
communities on campus. The table below gives an example for you to work
through.
Table 1. The percent of hypothetical fish
sampled for 5 categories in community 1
and community 2.
|
Category
|
Community
1
|
(n1)/N1
*100
|
Community
2
|
(n2)/N2
*100
|
Lesser Value
|
|
A
|
50
|
(50/93) *100 = 54%
|
0
|
(0/112) * 100 = 0.0%
|
0.0%
|
|
B
|
25
|
(25/93) * 100 = 26.88%
|
7
|
(7/112) * 100 = 6.25%
|
6.25%
|
|
C
|
12
|
|
15
|
|
|
|
D
|
6
|
|
30
|
|
|
|
E
|
0
|
|
60
|
|
|
|
Total
|
93
|
|
112
|
|
Percent Similarity=
(sum)= 6.25%
|
The lesser value for category A between
community 1 and community 2 is 0% (community 2) therefore you take that value.
Example:
Community 1, Category B = 25 specimen out of 93
total
Community 2, Category B = 7 specimen out of 112 total
Therefore: =PS = 25/93= 26.88% 7/112 = 6.25% -à Lowest value, use it
Then: PS= 0% (from Category A) + 6.25% (from
Category B) = 6.25 % (for the first 2 categories).
PS (Percent Similarity) = (lowest percent value
between categories of communities), in this case:
PS = 0% + ?% + ?% + ?% + ?% = ??%
**Find the
percent similarity for the invertebrate communities sampled by the classes with
the lowest and highest Simpson's diversities.
.
|
A
Invertebrates
Sampled
|
B
Highest
Diversity (1-D) Community Values*
|
C
(n1)/N1
*100
|
D
Lowest
Diversity (1-D) Community Values**
|
E
(n2)/N2
*100
|
F
Lower of
the two % (column C vs E)
|
|
A
|
|
|
|
|
|
|
B
|
|
|
|
|
|
|
C
|
|
|
|
|
|
|
D
|
|
|
|
|
|
|
Total
|
|
|
|
|
SUM:
|
*Highest diversity indicates the highest value
for calculated 1-D from all three habitats sampled
**Lowest diversity indicates the lowest value
for calculated 1-D from all three habitats sampled
In terms of habitat, and
your answers to the questions above, explain why you think you got the results
you did for 1-D and community percent similarity?