FAKULTI SAINS DAN TEKNOLOGI
UNIVERSITI KEBANGSAAN MALAYSIA
STAB6034 POPULATION ECOLOGY AND COMMUNITY
TITLE:
ASSIGNMENT 1: POPULATION ESTIMATE
PREPARED FOR:
PROF. DR. SHUKOR MD. NOR
PREPARED BY:
NUR SYAMIMI BINTI ZAMZURI
P104417
HOMEWORK 1
QUESTION 1
Ct = total number of individuals caught in sample t
Rt = number of individuals already marked when caught in sample t
Ut = number of individuals marked for first time and released in sample t
Mt = number of marked individuals in the population just before the t- th sample is taken
From the data in Table 1, I obtain:
∑ CtMt = 20 (0) + 17 (20) + 10 (37) + 21 (42) + 9 (58) + 18 (65) + 7 (71) + 13 (82) + 19 (97)
= 0 + 340 + 370 + 882 + 522 + 1170 + 497 + 1066 + 1843
= 6690
For the Schnabel estimator,
^
𝑁=
=
∑(𝐶𝑡 𝑀𝑡 )
∑𝑅𝑡
6690
22
= 304.0909 ≈ 304 small mammals
QUESTION 2
mt = number of marked animals caught in sample t
ut = number of unmarked animals caught in sample t
nt = total number of animals caught in sample t = mt + ut
st = total number of animals released after sample t
At t = 3,
𝑚 +1
α3 = 𝑛 3+1
3
37 + 1
=
169+1
= 0.2235
m3 =
(𝑠3 + 1)𝑍3
𝑅3 +1
+ 𝑚3
(164+1)(5+2+2+18+8+4)
=
(33+13+8)+1
=
165 (39)
55
+ 37
= 154
^
^
𝑁3 =
=
𝑚3
𝛼3
154
0.2235
= 689 animals
+ 37
At t = 4,
𝑚 +1
α4 = 𝑛 4+1
4
56 + 1
= 209+1
= 0.2714
M4 =
=
=
(𝑠4 + 1)𝑍4
𝑅4 +1
+ 𝑚4
(202+1)(2+2+8+4+13+8)
(30+20)+1
7511
51
+ 56
= 203.3
^
^
𝑁4 =
𝑚4
𝛼4
203.3
= 0.2714
= 749.1 ≈ 749 animals
+ 56