BASED ON THIS DATA ANSWER THE QUESTION Age Population Size Fecundity b x Survivo
ID: 56268 • Letter: B
Question
BASED ON THIS DATA ANSWER THE QUESTION
Age
Population Size
Fecundity
bx
Survivorship
lx
lxbx
x(lxbx)
eggs
1736
--
--
--
--
1
286
2.4
0.1647
0.39528
0.39528
2
109
3.1
0.0627
0.19437
0.38874
3
74
3.7
0.0426
0.15762
0.47286
4
39
3.4
0.0224
0.07616
0.3464
5
27
3.8
0.0155
0.0589
0.2945
6
15
2.4
0.0086
0.02064
0.12384
7
9
3.1
0.0051
0.01581
0.11067
8
4
1.3
0.0023
0.00299
0.02392
Ro = ? lxbx
= ? 0.39528 + 0.19437 + 0.15762 + 0.07616 + 0.0589 + 0.02064 + 0.01581 + 0.00299 = 0.92177
Generation Time
T = (? x(lxbx))/ (? lxbx )
? x(lxbx) = ? 0.39528 + 0.38874 + 0.47286 + 0.3464 + 0.2945 + 0.12384 + 0.11067 + 0.02392 = 2.15621
T = 2.15621/0.92177 = 2.3392
6) Project future population size at t = 10, 25, 50, 75, and 100 years, using the following equations.
First, estimate the intrinsic rate of increase in the population, and include at least 4 digits to the right of the decimal in your results.
? = Ro1/T
? = ______________
Then project future population size given that N(t) = N(0) ?t ,where N(0) is the initial population size, which is 563.
N(10) = _____________ N(75) = _____________
N(25) = _____________ N(100) = _____________
N(50) = _____________
7) Graph the change in population size (Y axis) over time (X Axis). What is the predicted temporal trend (i.e., pattern over time) in this population based on the projections?
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Provide two reasons for this trend? Explain each reason.
How could the projected trend be reversed?
Age
Population Size
Fecundity
bx
Survivorship
lx
lxbx
x(lxbx)
eggs
1736
--
--
--
--
1
286
2.4
0.1647
0.39528
0.39528
2
109
3.1
0.0627
0.19437
0.38874
3
74
3.7
0.0426
0.15762
0.47286
4
39
3.4
0.0224
0.07616
0.3464
5
27
3.8
0.0155
0.0589
0.2945
6
15
2.4
0.0086
0.02064
0.12384
7
9
3.1
0.0051
0.01581
0.11067
8
4
1.3
0.0023
0.00299
0.02392
Population Size 400 300 200 100 0 0 25 50 75 100Explanation / Answer
Project future population size at t = 10, 25, 50, 75, and 100 years, using the following equations.
First, estimate the intrinsic rate of increase in the population, and include at least 4 digits to the right of the decimal in your results.
= Ro1/T
= ______________
Then project future population size given that N(t) = N(0) t ,where N(0) is the initial population size, which is 563.
N(10) = _____________ N(75) = _____________
N(25) = _____________ N(100) = _____________
N(50) = _____________
7) Graph the change in population size (Y axis) over time (X Axis). What is the predicted temporal trend (i.e., pattern over time) in this population based on the projections?
Provide two reasons for this trend? Explain each reason.
How could the projected trend be reversed?
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