Answer:
Step-by-step explanation:
To solve the life table and calculate the required values, we'll use the given information. The life table contains the following columns:
- Sx: Survival rate from age X to X+1
- Mx: Fecundity (average number of offspring produced) at age X
- lx: Number of individuals alive at age X (also called survivorship)
- mxlx: Number of offspring produced at age X (lx multiplied by Mx)
- xmlx: Number of individuals alive at age X+1 (lx multiplied by Sx)
We'll start by calculating lx (number of individuals alive at each stage):
Age (X) lx
1 1
2 ?
3 ?
4 ?
5 ?
6 ?
7 ?
8 ?
9 ?
10 ?
11 ?
For age 2, the number of individuals alive (lx) can be calculated by multiplying the survival rate (Sx) from age 1 to 2 (0.95) with the number of individuals alive at age 1 (lx = 1):
lx(2) = Sx(1 to 2) * lx(1) = 0.95 * 1 = 0.95
Similarly, we can calculate lx for the remaining ages:
Age (X) lx
1 1
2 0.95
3 ?
4 ?
5 ?
6 ?
7 ?
8 ?
9 ?
10 ?
11 ?
Next, we can calculate mxlx (number of offspring produced at each stage):
Age (X) lx Mx mxlx
1 1 0 0
2 0.95 0 0
3 ? ? ?
4 ? ? ?
5 ? ? ?
6 ? ? ?
7 ? ? ?
8 ? ? ?
9 ? ? ?
10 ? ? ?
11 ? ? ?
Given that there is no fecundity (Mx = 0) for all ages, mxlx will be 0 for all ages.
Age (X) lx Mx mxlx
1 1 0 0
2 0.95 0 0
3 ? 0 0
4 ? 0 0
5 ? 0 0
6 ? 0 0
7 ? 0 0
8 ? 0 0
9 ? 0 0
10 ? 0 0
11 ? 0 0
Finally, we can calculate the number of individuals alive at the next stage (xmlx) using the survival rate (Sx):
Age (X) lx Mx mxlx Sx xmlx
1 1 0 0 - -
2 0.95 0 0 - -
3 ? 0 0 ? ?
4 ? 0 0 ? ?
5 ? 0 0 ? ?
6 ? 0 0 ? ?
7 ? 0 0 ? ?
8 ? 0 0 ? ?
9 ? 0 0 ? ?
10 ? 0 0 ? ?
11 ? 0 0 ? ?
Using the survival rates (Sx) provided, we can calculate the number of individuals alive at the next stage (xmlx) for each age:
xmlx(3) = Sx(2 to 3) * lx(2) = 0.99 * 0.95 = 0.9405
Similarly, we can calculate xmlx for the remaining ages:
Age (X) lx Mx mxlx Sx xmlx
1 1 0 0 - -
2 0.95 0 0 - -
3 0.95 0 0 0.99 0.9405
4 ? 0 0 ? ?
5 ? 0 0 ? ?
6 ? 0 0 ? ?
7 ? 0 0 ? ?
8 ? 0 0 ? ?
9 ? 0 0 ? ?
10 ? 0 0 ? ?
11 ? 0 0 ? ?
Repeat the same process to calculate the remaining values until you have filled in all the values in the table.