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| |
Example Diversity based on shrub dominance of a Clay Loam and a Sandy Loam Site
in South Texas. (Shrubs expressed as plant density as plant per
hectare)
|
Shrub |
Clay Loam |
Sandy Loam |
Scientific plant name |
|
blackbrush |
156 |
65 |
(Acacia rigidula) |
|
guajillo |
176 |
55 |
(Acacia berlandieri) |
|
catclaw acacia |
43 |
45 |
(Acacia greggii) |
|
granjeno |
56 |
32 |
(Celtis pallida) |
|
whitebrush |
25 |
67 |
(Aloysia lyciodes) |
|
kidneywood |
15 |
25 |
(Eysenhardtia texana) |
|
elbowbush |
1 |
70 |
(Forestieria cuntjolia) |
|
wolfberry |
0 |
28 |
(Lycium berlandieri) |
|
shrubby bluesage |
0 |
40 |
(Salvia bullotaeflora) |
Answers to Advanced Questions:
-
In the example below,
which site (Clay Loam or Sandy Loam) have the greatest
species richness?
•
Species Richness Clay Loam
< Sandy Loam or 7 species < 9 species
-
Which site (Clay Loam
or Sandy Loam) has the greatest evenness of species?
• Species evenness much
better fro the Sandy Loam than for Clay Loam
-
Which site has the
greatest diversity as estimated by the Shannon Weiner
Index (H')?
• Clay Loam = 1.48
• Sandy Loam = 1.81
|
Shannon-Wiener Index (H’) |
|
|
|
CLAY LOAM SITE |
|
|
|
Shrub |
Plants/Ha |
n/N |
ln of n/N |
n/N*ln(n/N) |
|
|
blackbrush |
156 |
0.331 |
-1.107 |
-0.366 |
|
|
guajillo |
176 |
0.373 |
-0.986 |
-0.368 |
|
|
catclaw acacia |
43 |
0.091 |
-2.396 |
-0.218 |
|
|
granjeno |
56 |
0.119 |
-2.132 |
-0.253 |
|
|
whitebrush |
25 |
0.053 |
-2.938 |
-0.156 |
|
|
kidneywood |
15 |
0.032 |
-3.449 |
-0.110 |
|
|
elbowbush |
1 |
0.002 |
-6.157 |
-0.013 |
|
|
wolfberry |
0 |
|
|
|
|
|
shrubby bluesage |
0 |
|
|
|
|
|
Sum |
|
|
|
-1.48 |
|
| |
|
= N |
|
|
|
| |
|
|
|
|
= H' |
|
SANDY LOAM SITE |
|
|
|
|
Shrub |
|
n/N |
ln of n/N |
n/N*ln(n/N) |
|
|
blackbrush |
65 |
0.138 |
-1.983 |
-0.273 |
|
|
guajillo |
55 |
0.117 |
-2.150 |
-0.250 |
|
|
catclaw acacia |
45 |
0.095 |
-2.350 |
-0.224 |
|
|
granjeno |
32 |
0.068 |
-2.691 |
-0.182 |
|
|
whitebrush |
67 |
0.142 |
-1.952 |
-0.277 |
|
|
kidneywood |
25 |
0.053 |
-2.938 |
-0.156 |
|
|
elbowbush |
70 |
0.148 |
-1.908 |
-0.283 |
|
|
wolfberry |
28 |
0.059 |
-2.825 |
-0.168 |
|
|
shrubby bluesage |
40 |
0.085 |
-2.468 |
-0.209 |
|
|
Sum |
387 |
=N |
|
-1.81 |
|
| |
|
|
|
1.81 |
= H' |
-
Which site expresses
the greatest level of dominance by a few species as
estimated by Simpson Index (λ)?
• Clay Loam = 0.273
• Sandy Loam = 0.093
|
CLAY LOAM SITE |
|
|
|
|
Shrub |
Plants/Ha |
n-1 |
n(n-1) |
n(n-1)/ N(N-1) |
|
|
blackbrush |
156 |
155 |
24180 |
0.109 |
|
|
guajillo |
176 |
175 |
30800 |
0.139 |
|
|
catclaw acacia |
43 |
42 |
1806 |
0.008 |
|
|
granjeno |
56 |
55 |
3080 |
0.014 |
|
|
whitebrush |
25 |
24 |
600 |
0.003 |
|
|
kidneywood |
15 |
14 |
210 |
0.001 |
|
|
elbowbush |
1 |
0 |
0 |
0.000 |
|
|
wolfberry |
0 |
|
|
|
|
|
shrubby bluesage |
0 |
|
|
|
|
|
Sum= |
472 |
=N |
|
0.273 |
=λ |
| |
222312 |
=N(N-1) |
|
|
|
|
SANDY LOAM SITE |
|
|
|
|
Shrub |
Plants/Ha |
n-1 |
n(n-1) |
n(n-1)/N(N-1) |
|
|
blackbrush |
65 |
64 |
4160 |
0.019 |
|
|
guajillo |
55 |
54 |
2970 |
0.013 |
|
|
catclaw acacia |
45 |
44 |
1980 |
0.009 |
|
|
granjeno |
32 |
31 |
992 |
0.004 |
|
|
whitebrush |
67 |
66 |
4422 |
0.020 |
|
|
kidneywood |
25 |
24 |
600 |
0.003 |
|
|
elbowbush |
70 |
69 |
4830 |
0.022 |
|
|
wolfberry |
28 |
27 |
756 |
0.003 |
|
|
shrubby bluesage |
40 |
39 |
1560 |
0.007 |
|
|
Sum= |
387 |
=N |
|
0.093 |
=λ |
| |
149382 |
=N(N-1) |
|
|
|
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