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Complete the life table (a balsamroot population), assuming that the balsamroot

ID: 63165 • Letter: C

Question

Complete the life table (a balsamroot population), assuming that the balsamroot plants have overlapping generations. Calculate the net reproductive rate (R0), generation time (T), and per capita rate of increase (r). Based on your calculations, predict whether the population will increase, decrease or remain stable in the next year. Once you have completed all calculations, enter your answers. Important: Round all your numbers to the second decimal place and enter numbers only (no words)!

Hints: make two columns. one for lx and another for (lx)*(bx) to help calculate Ro

Example L2 = 520 / 2300 = ?

when r= 0 , stable
when r? 0, increase
when r? 0, decrease

Explanation / Answer

A life table is a table of statistics related to life expectancy and mortality rate for a given population. Simple mathematical calculations are involved in it. Now lets fill the table using this calculations. Its easy to calculate, just go through.

Age

(X)

Abundance

(nx)

Age specific birth rate

(bx)

lx

lx x bx

X x lx x bx

1

2300

0

1

0

0

2

52

2.2

0.23

0.50

1.00

3

220

2.5

0.10

0.25

0.75

4

103

3.7

0.04

0.15

0.60

5

80

4.5

0.03

0.14

0.70

6

67

4.4

0.03

0.13

0.78

7

52

4

0.02

0.08

0.56

8

26

3

0.01

0.03

0.24

9

0

0

0

0

0

R0 = lx x bx = 1.28

T = X x lx x bx/R0 = 4.63/1.28 = 3.61

r = In(R0)/T = 0.25/3.61 = 0.07

r is less than zero, hence there will be decrease in population in next year.

Age

(X)

Abundance

(nx)

Age specific birth rate

(bx)

lx

lx x bx

X x lx x bx

1

2300

0

1

0

0

2

52

2.2

0.23

0.50

1.00

3

220

2.5

0.10

0.25

0.75

4

103

3.7

0.04

0.15

0.60

5

80

4.5

0.03

0.14

0.70

6

67

4.4

0.03

0.13

0.78

7

52

4

0.02

0.08

0.56

8

26

3

0.01

0.03

0.24

9

0

0

0

0

0