We will now explore and "verify" the claims made in Example 10 from Topic 16. Specifically, we will: a. Determine the long-term behavior of the population under the original model. b. Check out the growth rates for the sub-populations under the original model. c. Determine how long it will take the population to decrease to a certain percentage of its original value. d. Repeat the investigation on the long-term behavior and the growth rates for the model when conservation efforts take place. e. Find the juvenile survival rate needed to save the population from eventual extinction.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Related questions
Question
Owl model
juvenile survival
Subadult survival
adult survival
adult birth rate
n
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
0.18
0.71
0.94
0.33
j_n
900
858
924
906
888
874
859
845
831
818
804
791
778
765
753
741
728
716
705
693
682
671
660
649
0
0
0
0
0
0
0
s_n
500
162
154
166
163
160
157
155
152
150
147
145
142
140
138
136
133
131
129
127
125
123
121
119
117
0
OOO OO
0
0
0
0
0
a_n
2600
2799
2746
2691
2648
2605
2562
2520
2478
2438
2398
2358
2320
2282
2244
2207
2171
2136
2100
2066
2032
1999
1966
total
1400
1020
1078
1072
1051
1034
1017
1000
984
968
952
936
921
906
891
876
862
848
834
820
807
793
780
767
117
0
0
0
OOOO
0
0
0
(j_n+1)/(j_n)
new population with old
Growth
Growth Factor factor
juveniles
#DIV/0!
#DIV/0!
#DIV/0!
#DIV/0!
0.9533333333 0.9533333333
0.324
1.076538462 1.076538462 0.9533333333
0.9810932476 0.9810932476 1.076538462
0.9799305191 0.9799305191 0.9810932476
0.9838671302 0.9838671302 0.9799305191
0.9837434526 0.9837434526 0.9838671302
0.9835739055 0.9835739055 0.9837434526
0.9835868958 0.9835868958 0.9835739055
0.9835938335 0.9835938335 0.9835868958
0.9835929503 0.9835929503 0.9835938335
0.983592682 0.983592682 0.9835929503
0.983592733 0.983592733 0.983592682
0.9835927426 0.9835927426 0.983592733
0.9835927399 0.9835927399 0.9835927426
0.9835927396 0.9835927396 0.9835927399
0.9835927398 0.9835927398 0.9835927396
0.9835927398 0.9835927398 0.9835927398
0.9835927398 0.9835927398 0.9835927398
0.9835927398 0.9835927398 0.9835927398
0.9835927398 0.9835927398 0.9835927398
0.9835927398 0.9835927398 0.9835927398
0.9835927398 0.9835927398 0.9835927398
0.9835927398 0.9835927398 0.9835927398
0 0.9835927398
#DIV/0!
#DIV/0!
subadults
0
Growth
factor adults
#DIV/0!
#DIV/0!
#DIV/0!
#DIV/0!
#DIV/0!
#DIV/0!
#DIV/0!
#DIV/0!
#DIV/0!
#DIV/0!
#DIV/0!
0
Transcribed Image Text:Owl model juvenile survival Subadult survival adult survival adult birth rate n 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 0.18 0.71 0.94 0.33 j_n 900 858 924 906 888 874 859 845 831 818 804 791 778 765 753 741 728 716 705 693 682 671 660 649 0 0 0 0 0 0 0 s_n 500 162 154 166 163 160 157 155 152 150 147 145 142 140 138 136 133 131 129 127 125 123 121 119 117 0 OOO OO 0 0 0 0 0 a_n 2600 2799 2746 2691 2648 2605 2562 2520 2478 2438 2398 2358 2320 2282 2244 2207 2171 2136 2100 2066 2032 1999 1966 total 1400 1020 1078 1072 1051 1034 1017 1000 984 968 952 936 921 906 891 876 862 848 834 820 807 793 780 767 117 0 0 0 OOOO 0 0 0 (j_n+1)/(j_n) new population with old Growth Growth Factor factor juveniles #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0.9533333333 0.9533333333 0.324 1.076538462 1.076538462 0.9533333333 0.9810932476 0.9810932476 1.076538462 0.9799305191 0.9799305191 0.9810932476 0.9838671302 0.9838671302 0.9799305191 0.9837434526 0.9837434526 0.9838671302 0.9835739055 0.9835739055 0.9837434526 0.9835868958 0.9835868958 0.9835739055 0.9835938335 0.9835938335 0.9835868958 0.9835929503 0.9835929503 0.9835938335 0.983592682 0.983592682 0.9835929503 0.983592733 0.983592733 0.983592682 0.9835927426 0.9835927426 0.983592733 0.9835927399 0.9835927399 0.9835927426 0.9835927396 0.9835927396 0.9835927399 0.9835927398 0.9835927398 0.9835927396 0.9835927398 0.9835927398 0.9835927398 0.9835927398 0.9835927398 0.9835927398 0.9835927398 0.9835927398 0.9835927398 0.9835927398 0.9835927398 0.9835927398 0.9835927398 0.9835927398 0.9835927398 0.9835927398 0.9835927398 0.9835927398 0.9835927398 0.9835927398 0.9835927398 0 0.9835927398 #DIV/0! #DIV/0! subadults 0 Growth factor adults #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0
We will now explore and "verify" the claims made in Example 10 from Topic 16. Specifically, we
will:
a. Determine the long-term behavior of the population under the original model.
b. Check out the growth rates for the sub-populations under the original model.
c. Determine how long it will take the population to decrease to a certain percentage of its
original value.
d. Repeat the investigation on the long-term behavior and the growth rates for the model
when conservation efforts take place.
e. Find the juvenile survival rate needed to save the population from eventual extinction.
Transcribed Image Text:We will now explore and "verify" the claims made in Example 10 from Topic 16. Specifically, we will: a. Determine the long-term behavior of the population under the original model. b. Check out the growth rates for the sub-populations under the original model. c. Determine how long it will take the population to decrease to a certain percentage of its original value. d. Repeat the investigation on the long-term behavior and the growth rates for the model when conservation efforts take place. e. Find the juvenile survival rate needed to save the population from eventual extinction.
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