Gompertz

Gompertz Assignment (25 pts)

1. Idealized hypothetical survival data for a cohort of 10,000 inbred standard poodles raised as pets (data from canine researcher John B Armstrong University of Ottawa, several poodle books, personal experience and other assorted data sets were used to construct this idealized cohort).

a. Fill in the appropriate values for deaths, mortality and Gompertz constant for each age. (16 pts)

age

survivors

deaths

mortality

Gompertz

0

10,000

200

0.02

****

1

9,800

200

0.020408

18.56017

2

9,556

244

0.025534

18.99377

3

9,259

297

0.032077

18.99991

4

8,901

358

0.04022

19

5

8,471

430

0.050761

19

6

7,963

508

0.063795

19

7

7,367

596

0.080901

19

8

6,679

688

0.103009

19

9

5,903

776

0.131459

19

10

5,048

855

0.169374

19

11

4,137

911

0.220208

19

12

3,207

930

0.289991

19

13

2,308

899

0.389515

19

14

1,502

806

0.536618

19

15

849

653

0.76914

19

16

389

460

1.182519

19

17

127

262

2.062992

19

18

20

107

5.35

19

19

0

***

****

****

b. What is the mean value for the Gompertz constant? (3 pts)

Mean value of Gompertz Constant = 18.975

c. What is the median lifespan for the dogs in this cohort? (3 pts)

Median Life span = 19

d. ...