The Study of Age-structured Populations: Results
by The results from a study of human demography.
The net reproductive rate for individuals of both genders that lived in the 19th century was 8.01 offspring, the generation time was 27.71 years and the estimated intrinsic rate of increase was 0.075 individuals/individual/year as seen in Table 1. The net reproductive rate for individuals of both genders that lived in the 20th century was 8.54 offspring, the generation time was 31.22 years and the estimated intrinsic rate of increase was 0.06 individuals/individual/year as seen in Table 2. The net reproductive rate for males in the 19th and 20th centuries combined was 7.25 offspring, the generation time was 29.41 years and the estimated intrinsic rate of increase was 0.067 individuals/individual/year as seen in Table 3. The net reproductive rate for females in the 19th and 20th centuries combined was 7.30 offspring, the generation time was 29.33 years and the estimated intrinsic rate of increase was 0.068 individuals/individual/year as seen in Table 4.
|
Total Data |
Age Class |
# Died |
Number Alive |
Birth Schedule |
survivorship schedule |
survival probability |
||
|
Age at death |
x |
SX |
b(x) |
l(x) |
g(x) |
l(x)b(x) |
l(x)b(x)x |
|
|
|
0 |
0 |
232 |
0 |
1.00 |
0.95 |
0.00 |
0.00 |
|
0.1-9 |
9 |
11 |
221 |
0 |
0.95 |
0.98 |
0.00 |
0.00 |
|
10-19 |
19 |
4 |
217 |
2 |
0.94 |
0.94 |
1.87 |
35.54 |
|
20-29 |
29 |
12 |
205 |
6 |
0.88 |
0.95 |
5.30 |
153.75 |
|
30-39 |
39 |
10 |
195 |
1 |
0.84 |
0.90 |
0.84 |
32.78 |
|
40-49 |
49 |
19 |
176 |
0 |
0.76 |
0.78 |
0.00 |
0.00 |
|
50-59 |
59 |
39 |
137 |
0 |
0.59 |
0.69 |
0.00 |
0.00 |
|
60-69 |
69 |
42 |
95 |
0 |
0.41 |
0.45 |
0.00 |
0.00 |
|
70-79 |
79 |
52 |
43 |
0 |
0.19 |
0.28 |
0.00 |
0.00 |
|
80-89 |
89 |
31 |
12 |
0 |
0.05 |
0.25 |
0.00 |
0.00 |
|
90-99 |
99 |
9 |
3 |
0 |
0.01 |
0.00 |
0.00 |
0.00 |
|
100-109 |
109 |
3 |
0 |
0 |
0.00 |
0.00 |
0.00 |
|
|
SUM= |
232 |
R0= |
8.0129 |
222.0733 |
||||
|
offspring |
||||||||
|
G |
27.7144 |
years |
||||||
|
r(est) |
0.0751 |
indiv/indiv/yr |
Table 1. A life table for individuals that lived in the 19th century with genders combined and with the net reproductive rate, generation time, and the estimated intrinsic rate of increase.
|
Total Data |
Age Class |
# Died |
Number Alive |
Birth Schedule |
survivorship schedule |
survival probability |
||
|
Age at death |
x |
SX |
b(x) |
l(x) |
g(x) |
l(x)b(x) |
l(x)b(x)x |
|
|
|
0 |
0 |
217 |
0.00 |
1.00 |
0.91 |
0.00 |
0.00 |
|
0.1-9 |
9 |
19 |
198 |
0.00 |
0.91 |
0.94 |
0.00 |
0.00 |
|
10-19 |
19 |
12 |
186 |
1.00 |
0.86 |
0.98 |
0.86 |
16.29 |
|
20-29 |
29 |
3 |
183 |
4.00 |
0.84 |
0.91 |
3.37 |
97.82 |
|
30-39 |
39 |
16 |
167 |
3.00 |
0.77 |
0.91 |
2.31 |
90.04 |
|
40-49 |
49 |
15 |
152 |
0.00 |
0.70 |
0.88 |
0.00 |
0.00 |
|
50-59 |
59 |
18 |
134 |
0.00 |
0.62 |
0.73 |
0.00 |
0.00 |
|
60-69 |
69 |
36 |
98 |
0.00 |
0.45 |
0.58 |
0.00 |
0.00 |
|
70-79 |
79 |
41 |
57 |
0.00 |
0.26 |
0.30 |
0.00 |
0.00 |
|
80-89 |
89 |
40 |
17 |
0.00 |
0.08 |
0.00 |
0.00 |
0.00 |
|
90-99 |
99 |
17 |
0 |
0.00 |
0.00 |
0.00 |
0.00 |
|
|
100-109 |
109 |
0 |
0 |
0.00 |
0.00 |
0.00 |
0.00 |
|
|
SUM= |
217 |
R0= |
6.5392 |
204.1521 |
||||
|
offspring |
||||||||
|
G |
31.2199 |
years |
||||||
|
r(est) |
0.0601 |
indiv/indiv/yr |
Table 2. A life table for individuals that lived in the 20th century with genders combined and with the net reproductive rate, generation time, and the estimated intrinsic rate of increase.
|
Total Data |
Age Class |
# Died |
Number Alive |
Birth Schedule |
survivorship schedule |
survival probability |
||
|
Age at death |
x |
SX |
b(x) |
l(x) |
g(x) |
l(x)b(x) |
l(x)b(x)x |
|
|
|
0 |
0 |
220 |
0.00 |
1.00 |
0.92 |
0.00 |
0.00 |
|
0.1-9 |
9 |
17 |
203 |
0.00 |
0.92 |
0.96 |
0.00 |
0.00 |
|
10-19 |
19 |
9 |
194 |
1.50 |
0.88 |
0.98 |
1.32 |
25.13 |
|
20-29 |
29 |
4 |
190 |
5.00 |
0.86 |
0.94 |
4.32 |
125.23 |
|
30-39 |
39 |
12 |
178 |
2.00 |
0.81 |
0.87 |
1.62 |
63.11 |
|
40-49 |
49 |
24 |
154 |
0.00 |
0.70 |
0.77 |
0.00 |
0.00 |
|
50-59 |
59 |
35 |
119 |
0.00 |
0.54 |
0.62 |
0.00 |
0.00 |
|
60-69 |
69 |
45 |
74 |
0.00 |
0.34 |
0.39 |
0.00 |
0.00 |
|
70-79 |
79 |
45 |
29 |
0.00 |
0.13 |
0.28 |
0.00 |
0.00 |
|
80-89 |
89 |
21 |
8 |
0.00 |
0.04 |
0.13 |
0.00 |
0.00 |
|
90-99 |
99 |
7 |
1 |
0.00 |
0.00 |
0.00 |
0.00 |
0.00 |
|
100-109 |
109 |
1 |
0 |
0.00 |
0.00 |
0.00 |
0.00 |
|
|
SUM= |
220 |
R0= |
7.2591 |
213.4682 |
||||
|
offspring |
||||||||
|
G |
29.4070 |
years |
||||||
|
r(est) |
0.0674 |
indiv/indiv/yr |
Table 3. A life table for males with centuries combined and with the net reproductive rate, generation time, and the estimated intrinsic rate of increase.
|
Total Data |
Age Class |
# Died |
Number Alive |
Birth Schedule |
survivorship schedule |
survival probability |
||
|
Age at death |
x |
SX |
b(x) |
l(x) |
g(x) |
l(x)b(x) |
l(x)b(x)x |
|
|
|
0 |
0.00 |
229.00 |
0.00 |
1.00 |
0.94 |
0.00 |
0.00 |
|
0.1-9 |
9 |
13.00 |
216.00 |
0.00 |
0.94 |
0.97 |
0.00 |
0.00 |
|
10-19 |
19 |
7.00 |
209.00 |
1.50 |
0.91 |
0.95 |
1.37 |
26.01 |
|
20-29 |
29 |
11.00 |
198.00 |
5.00 |
0.86 |
0.93 |
4.32 |
125.37 |
|
30-39 |
39 |
14.00 |
184.00 |
2.00 |
0.80 |
0.95 |
1.61 |
62.67 |
|
40-49 |
49 |
10.00 |
174.00 |
0.00 |
0.76 |
0.87 |
0.00 |
0.00 |
|
50-59 |
59 |
22.00 |
152.00 |
0.00 |
0.66 |
0.78 |
0.00 |
0.00 |
|
60-69 |
69 |
33.00 |
119.00 |
0.00 |
0.52 |
0.60 |
0.00 |
0.00 |
|
70-79 |
79 |
48.00 |
71.00 |
0.00 |
0.31 |
0.30 |
0.00 |
0.00 |
|
80-89 |
89 |
50.00 |
21.00 |
0.00 |
0.09 |
0.10 |
0.00 |
0.00 |
|
90-99 |
99 |
19.00 |
2.00 |
0.00 |
0.01 |
0.00 |
0.00 |
0.00 |
|
100-109 |
109 |
2.00 |
0.00 |
0.00 |
0.00 |
0.00 |
0.00 |
|
|
SUM= |
229.00 |
R0= |
7.2991 |
214.0546 |
||||
|
offspring |
||||||||
|
G |
29.3261 |
years |
||||||
|
r(est) |
0.0678 |
indiv/indiv/yr |
Table 4. A life table for females with centuries combined and with the net reproductive rate, generation time, and the estimated intrinsic rate of increase.
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