Introduction:
The mean number of progenies that a woman produces during her life span is called thenet reproductive rate
. The reproductive rate is calculated by the given formula:
Where,
S = sum of all age class,
Answer to Problem 4TY
The correct answer is option (c) 1.75
Explanation of Solution
Explanation/justification for the correct answer:
Option (c) 1.75
Given table:
Age | No. alive at start of year |
Number dying during year, |
Age-specific survivorship rate, |
Age-specific fertility |
|
0 | 100 | 35 | 1 | 0 | 0 |
1 | 65 | 0.65 | 0 | 0 | |
2 | 45 | 15 | 3 | 1.35 | |
3 | 30 | 20 | 0.30 | 1 | |
4 | 10 | 10 | 0.10 | 1 | 0.10 |
5 | 0 | 0 | 0 | 1 | 0 |
Some values are missing in the given table. So, firstly calculate the missing values and put them in the new table:
Calculating the missing value of
Where,
So,
65 individuals were alive at the start of 1st year
And only 45 individuals were alive at the start of the 2nd year
Putting the values in above formula:
Hence, the number of individual dying during year (
Calculating the missing value of
Where,
Zero (0) at subscript = age
Individuals were alive at the start of 2ndyear
Individuals were alive at the start of zero (0) year
Putting the given value in above formula:
Hence the age-specific survivorship rate of the individual at the 2nd age is 0.45
Calculating the missing value of
Given the values of
Putting the given values in
Hence the value of
Putting the calculated values of points (A), (B), and (c) and making refresh table again:
Age | No. alive at start of year |
Number dying during year, |
Age-specific survivorship rate, |
Age-specific fertility |
|
0 | 100 | 35 | 1 | 0 | 0 |
1 | 65 | 20 | 0.65 | 0 | 0 |
2 | 45 | 15 | 0.45 | 3 | 1.35 |
3 | 30 | 20 | 0.30 | 1 | 0.30 |
4 | 10 | 10 | 0.10 | 1 | 0.10 |
5 | 0 | 0 | 0 | 1 | 0 |
Now finding the net reproductive rate
from above fresh table:
Hence, the net reproductive rate
So, this is the correct option.
Explanation for incorrect answer:
Option (a) 5. As explained in option (c), the net reproductive rate is not matched to given data. So, this is an incorrect option.
Option (b) 2.5. As explained in option (c), the net reproductive rate is not matched to given data. So, this is an incorrect option.
Option (d) 1.45. As explained in option (c), the net reproductive rate is not matched to given data. So, this is an incorrect option.
Option (e) 0.80. As explained in option (c), the net reproductive rate is not matched to given data. So, this is an incorrect option.
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Chapter 43 Solutions
Principles of Biology
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