the population census as a time machine

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The Population Census as a Time Machine Griffith Feeney Talk at Statistics South Africa 13 May 2011

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The Population Census as a Time Machine. Griffith Feeney Talk at Statistics South Africa 13 May 2011. “The history of a population is inscribed in its age distribution” --Nathan Keyfitz. 40-44. Kenya 1962 Census. Kenya. Kenya. Kenya. Time-Plotting Age-Specific Growth Rates. - PowerPoint PPT Presentation

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Page 1: The Population Census as a Time Machine

The Population Census as a Time Machine

Griffith Feeney

Talk at Statistics South Africa

13 May 2011

Page 2: The Population Census as a Time Machine

“The history of a population is inscribed in its age distribution”

--Nathan Keyfitz

Page 3: The Population Census as a Time Machine

Time Plot of Male and Female Literacy in ChinaCensus of 1982

0.0

0.2

0.4

0.6

0.8

1.0

1890 1900 1910 1920 1930 1940 1950 1960 1970 1980Year

Pro

port

ion L

itera

te

Male

Female

Page 4: The Population Census as a Time Machine

Time-Plot of Female Proportion Literate in PortugalCensus of 1981

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

1890 1910 1930 1950 1970 1990

Year

Pro

port

ion

Census 1981

Page 5: The Population Census as a Time Machine

Time Plot of Female Proportion Literate in PortugalCensuses of 1981 and 1991

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

1890 1910 1930 1950 1970 1990

Year

Pro

port

ion

Census 1981

Census 1991

Page 6: The Population Census as a Time Machine

Time Plot of Female Proportion Literate in PortugalCensuses of 1981, 1991 and 2001

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

1890 1910 1930 1950 1970 1990

Year

Pro

port

ion

Census 1981

Census 1991

Census 2001

Page 7: The Population Census as a Time Machine

Male and Female Literacy in Mexico: 1870-1960 Source: 1960 Census

0.0

0.2

0.4

0.6

0.8

1.0

1870 1880 1890 1900 1910 1920 1930 1940 1950 1960Year

Pro

port

ion

Male

Female

Page 8: The Population Census as a Time Machine

4.5

5.0

5.5

6.0

1915 1925 1935 1945 1955

Year

Me

an

Ch

ild

ren

Eve

r B

orn

Kenya 1962 Census

40-44

Page 9: The Population Census as a Time Machine

4.5

5.0

5.5

6.0

6.5

7.0

1915 1925 1935 1945 1955 1965

Year

Mean C

hildre

n E

ver

Born

1962 Census

1969 Census

Kenya

Page 10: The Population Census as a Time Machine

4.5

5.0

5.5

6.0

6.5

7.0

7.5

1915 1925 1935 1945 1955 1965 1975

Year

Mean C

hildre

n E

ver

Born

1962 Census

1969 Census

1979 Census

Kenya

Page 11: The Population Census as a Time Machine

4.5

5.0

5.5

6.0

6.5

7.0

7.5

1915 1925 1935 1945 1955 1965 1975

Year

Mean C

hildre

n E

ver

Born

1962 Census

1969 Census

1979 Census

Fitted line

Kenya

Page 12: The Population Census as a Time Machine

Time-Plot of Children Ever BornThailand Census of 1960

5.0

5.2

5.4

5.6

5.8

6.0

6.2

6.4

6.6

1920 1930 1940 1950 1960 1970Year

Chil

dre

n/W

om

an

Census 1960

Page 13: The Population Census as a Time Machine

Time-Plot of Children Ever BornThailand Censuses of 1960 and 1970

5.0

5.2

5.4

5.6

5.8

6.0

6.2

6.4

6.6

1920 1930 1940 1950 1960 1970Year

Chil

dre

n/W

om

an

Census 1960

Census 1970

Fitted Line

Page 14: The Population Census as a Time Machine

Time-Plot of Children Ever BornThailand Censuses of 1960, 1970 and 1980

5.0

5.2

5.4

5.6

5.8

6.0

6.2

6.4

6.6

1920 1925 1930 1935 1940 1945 1950 1955 1960 1965Year

Chil

dre

n/W

om

an

Census 1960

Census 1970

Census 1980

Page 15: The Population Census as a Time Machine

Time Plot of Children Ever Born DataUnited States

2.0

2.5

3.0

3.5

4.0

4.5

5.0

1870 1890 1910 1930 1950 1970

Year

Com

ple

ted

Fert

ilit

y

1980 Census

Page 16: The Population Census as a Time Machine

Time Plot of Children Ever Born DataUnited States

2.0

2.5

3.0

3.5

4.0

4.5

5.0

1870 1890 1910 1930 1950 1970

Year

Com

ple

ted F

ert

ilit

y

1980 Census

1970 Census

Page 17: The Population Census as a Time Machine

Time Plot of Children Ever Born DataUnited States

2.0

2.5

3.0

3.5

4.0

4.5

5.0

1870 1890 1910 1930 1950 1970

Year

Com

ple

ted

Fert

ilit

y

1980 Census

1970 Census

1960 Census

Page 18: The Population Census as a Time Machine

Time Plot of Children Ever Born DataUnited States

2.0

2.5

3.0

3.5

4.0

4.5

5.0

1870 1890 1910 1930 1950 1970

Year

Com

ple

ted

Fert

ilit

y

1980 Census

1970 Census

1960 Census

1950 Census

Page 19: The Population Census as a Time Machine

Time Plot of Children Ever Born DataUnited States

2.0

2.5

3.0

3.5

4.0

4.5

5.0

1870 1890 1910 1930 1950 1970

Year

Com

ple

ted F

ert

ilit

y

1980 Census

1970 Census

1960 Census

1950 Census

1940 Census

Page 20: The Population Census as a Time Machine

Time Plot of Children Ever Born DataUnited States

2.0

2.5

3.0

3.5

4.0

4.5

5.0

1870 1890 1910 1930 1950 1970

Year

Com

ple

ted

Fert

ilit

y

1980 Census

1970 Census

1960 Census

1950 Census

1940 Census

1910 Census

Page 21: The Population Census as a Time Machine

Time-Plotting Age-Specific Growth Rates

• Closely related idea: Interpret age-specific growth rates as estimates of …

• The growth rate of the “births function” of the population

• Begin with Lexis diagram …

Page 22: The Population Census as a Time Machine

tt - 5 t + 5

Time

0

5

Age

ASGR

Growth rate of birth series

Page 23: The Population Census as a Time Machine

Time Plot of Age-Specific Intercensal Growth RatesJapan, 1960-1965

-0.04

-0.03

-0.02

-0.01

0.00

0.01

0.02

0.03

0.04

0.05

1870 1880 1890 1900 1910 1920 1930 1940 1950 1960 1970

Year

Gro

wth

Rate

1960-1965

Zero Line

Page 24: The Population Census as a Time Machine

Time Plot of Age-Specific Intercensal Growth RatesJapan, 1960-65 and 1965-70

-0.04

-0.03

-0.02

-0.01

0.00

0.01

0.02

0.03

0.04

0.05

1870 1880 1890 1900 1910 1920 1930 1940 1950 1960 1970

Year

Gro

wth

Rate

1960-1965

1965-1970

Zero Line

Page 25: The Population Census as a Time Machine

Time Plot of Age-Specific Intercensal Growth RatesJapan, 1960-1965, 1965-70 and 1960-70

-0.04

-0.03

-0.02

-0.01

0.00

0.01

0.02

0.03

0.04

0.05

1870 1880 1890 1900 1910 1920 1930 1940 1950 1960 1970

Year

Gro

wth

Rate

1960-1965

1965-1970

1960-1970

Zero Line

Page 26: The Population Census as a Time Machine

Time Plot of Age-Specific Growth Rates

-0.02

-0.01

0.00

0.01

0.02

0.03

0.04

0.05

0.06

0.07

1870 1890 1910 1930 1950 1970

Year

Gro

wth

Rate

1960-70

All Ages Growth Rate

Page 27: The Population Census as a Time Machine

Time Plot of Age-Specific Growth RatesThailand Censuses of 1960-70 and 1970-80

-0.02

-0.01

0.00

0.01

0.02

0.03

0.04

0.05

0.06

0.07

1870 1890 1910 1930 1950 1970

Year

Gro

wth

Rate

1960-70

1970-80

Page 28: The Population Census as a Time Machine

Time Plot of Age-Specific Growth RatesThailand Censuses of 1960-70 and 1970-

-0.02

-0.01

0.00

0.01

0.02

0.03

0.04

0.05

0.06

0.07

1870 1890 1910 1930 1950 1970

Year

Gro

wth

Rate

1960-70 Adjusted

1970-80 Adjusted

Page 29: The Population Census as a Time Machine

Time Plot of Age-Specific Intercensal Growth Rates Pakistan, 1961-72

0.01

0.02

0.03

0.04

0.05

0.06

1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990

Year

Gro

wth

Rate

1961-72

GrowthRate

Page 30: The Population Census as a Time Machine

Time Plot of Age-Specific Intercensal Growth Rates Pakistan, 1961-72 and 1972-81

0.01

0.02

0.03

0.04

0.05

0.06

1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990

Year

Gro

wth

Rate

1961-72

1972-81

Page 31: The Population Census as a Time Machine

Time Plot of Age-Specific Intercensal Growth Rates Pakistan, 1961-72, 1972-81 and 1981-98

0.01

0.02

0.03

0.04

0.05

0.06

1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990

Year

Gro

wth

Rate

1961-72

1972-81

1981-98

Page 32: The Population Census as a Time Machine

Thank you!

Griffith Feeney<[email protected]>