Homework SoursePlease show all steps and equations I need to understand how
Please show all steps and equations. I need to understand how to do this. Thank you!!
Life tables and survivorship curves. Suppose 250% individulas of spiders Apopyllus now wre hatched at the same time and tracked over a period of six months, with each death being recorded. Numbers of remaning individuals at each month are recorded in th second column of the below table:
a) Fill in th rest of the life table.
b) Produce a survivorship curve.
c) What is the type of survivorship curve?
| Time(months) at beginning of interval | Number remaning at beginning of interval, nx | Proportion of original animals surviving to beginning of inteval, lx | Proporitoin of original animsl dying during interval, dx | Mortality rate, qx |
| 0 | 250 | |||
| 1 | 200 | |||
| 2 | 150 | |||
| 3 | 68 | |||
| 4 | 53 | |||
| 5 | 6 | |||
| 6 | 0 |
Solution
a. For the rest of the tabe, we use the formula:
lx = nx / 250
dx = (lx- lx+1) / 250
qx = dx / lx
So, the table is completed as:
b. Survivorship curve: lx v/s time
c. This is a type II survivorship curve. (Songbirds type) as it is linearly decreasing.
| Time(months) at beginning of interval | Number remaning at beginning of interval, nx | Proportion of original animals surviving to beginning of inteval, lx | Proporitoin of original animsl dying during interval, dx | Mortality rate, qx |
| 0 | 250 | 1 | 50 | 0.20 |
| 1 | 200 | 0.80 | 50 | 0.25 |
| 2 | 150 | 0.60 | 82 | 0.5467 |
| 3 | 68 | 0.272 | 15 | 0.2206 |
| 4 | 53 | 0.212 | 47 | 0.8868 |
| 5 | 6 | 0.024 | 6 | 1 |
| 6 | 0 | 0 |
