DATA has already been filled out for you please answer quest

DATA has already been filled out for you, please answer question(s)

Age

Population Size

Fecundity

b_x

Survivorship

l_x

l_xb_x

x(l_xb_x)

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

R_o = ? l_xb_x

        = ? 0.39528 + 0.19437 + 0.15762 + 0.07616 + 0.0589 + 0.02064 + 0.01581 + 0.00299 = 0.92177

Generation Time

T = (? x(l_xb_x))/ (? l_xb_x )

? x(l_xb_x) = ? 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.

? = R_o^1/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?

//d2vlcm61l7u1fs.cloudfront.net/media%2F381%2F381a6341-d4fd-41c4-9b35-fb0b9eb49165%2FphpNKzidK.png

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 75 100

Solution