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The Study of Age-structured Populations: Results

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.

Check out the rest this study

Quick Overview

Introduction

Methods

Survivorship

Discussion

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