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Harmonic Means

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Journal Article
Demography (1981) 18 (2): 201–216.
Published: 01 May 1981
... propensities of the observed population with that of the model. When discrete age intervals are used, the two-sex consistency condition is given by equation (14) which equates observed and model population rates calculated using the harmonic means of the number of persons in the relevant male and female age...
Journal Article
Demography (2023) 60 (3): 939–963.
Published: 01 June 2023
... fertility. We evaluate this possibility by focusing on Japan, a society characterized by half a century of below-replacement fertility and widely shared family norms that associate eldest (male) children with specific family obligations. Harmonic mean models allow us to quantify the contribution of changes...
FIGURES
Includes: Supplementary data
Image
Published: 17 December 2011
Fig. 4 Average age at first marriage and proportion single among men aged 50 according to three marriage models, China and India: 2005–2100 (rapid transition scenario). FD = Female dominance model; HM = harmonic mean model; DMM = delayed male marriage model (see the text for details) More
Journal Article
Demography (2018) 55 (6): 2071–2096.
Published: 12 November 2018
... quantified the impact of large classes of diseases on life disparity trends since 1994 using a newly harmonized cause-of-death time series for eight countries in the region. Mortality patterns in CEE countries were heterogeneous and ran counter to the common patterns observed in most developed countries...
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Includes: Supplementary data
Journal Article
Demography (2015) 52 (1): 183–208.
Published: 21 January 2015
...) 2005–2006 (International Institute for Population Sciences IIPS 2007 ) and the Indian Socio-Economic Survey (1999 and 2004) available from the IPUMS international database (Minnesota Population Center MPC 2011 ). The harmonic mean marriage function proposed by Schoen ( 1988 ) relates...
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Journal Article
Demography (2018) 55 (6): 2129–2160.
Published: 16 October 2018
... and the harmonic mean of the sampling rate across units. If both unit population sizes and sampling rates are known, we show that they can be used to construct bias-corrected segregation estimates without relying on access to sample microdata. Using Monte Carlo simulations, we test these bias-corrected estimators...
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Includes: Supplementary data
Journal Article
Demography (2012) 49 (1): 77–100.
Published: 17 December 2011
...Fig. 4 Average age at first marriage and proportion single among men aged 50 according to three marriage models, China and India: 2005–2100 (rapid transition scenario). FD = Female dominance model; HM = harmonic mean model; DMM = delayed male marriage model (see the text for details) ...
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Journal Article
Demography (1977) 14 (3): 333–350.
Published: 01 August 1977
... in the associated male and female one-sex nuptiality-mortality tables. 30 12 2010 © Population Association of America 1977 1977 Life Table Marriage Market Marriage Rate Harmonic Mean Marriage Squeeze References Bartlett , M. S. ( 1973 ). A Note on Das Gupta’s Two-Sex Population...
Journal Article
Demography (1998) 35 (3): 279–292.
Published: 01 August 1998
... and Preston (1993), us- ing Schoen's harmonic-mean model (Schoen 1988), exam- ine how changes in the availability of partners affect declin- ing rates of marriage. The harmonic-mean model relates unions between people with certain characteristics to the har- monic mean of the numbers of men and women...
Journal Article
Demography (2012) 49 (4): 1307–1333.
Published: 12 July 2012
... reports to the conventions of Nordic countries, Austria, Germany, and the Netherlands. Table 1 Average immigration and emigration adjustment ratios: 2003–2007 Immigration Emigration Harmonic Mean SD Harmonic Mean SD Nordic countries  Denmark 1.000 (0.000) 1.005 (0.000...
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Journal Article
Demography (1967) 4 (2): 453–463.
Published: 01 June 1967
... in those two pioneering experiences, respectively. Similar results were found by Westoff et al., in their study of fertility of urban mothers in the United States who do not practice contraception Now, 11 months of expected waiting time is equivalent to 0.09 as the harmonic mean fecundability of women,18...
Journal Article
Demography (1983) 20 (1): 61–78.
Published: 01 February 1983
... . Muhsam H. V. ( 1974 ). The Marriage Squeeze . Demography , 11 , 291 – 299 . 10.2307/2060564 Schoen Robert ( 1977 ). A Two-Sex Nuptiality-Mortality Life Table . Demography , 14 , 333 – 350 . 10.2307/2060790 Schoen Robert ( 1981 ). The Harmonic Mean as the Basis...
Journal Article
Demography (1978) 15 (4): 541–548.
Published: 01 November 1978
...- lation models (Coale, 1972). The nonlinearity of (1) is not much of a problem, since Bit) can be interpreted as one -halfof the harmonic mean of the two integrals appearing in the same equation. Had BF(t) maintained the same ratio with the arithmetic mean of the same two in- tegrals, the system would...
Journal Article
Demography (2006) 43 (3): 463–490.
Published: 01 August 2006
... Markets . Demography , 38 , 161 – 75 . 10.1353/dem.2001.0020 Schoen , R. ( 1981 ). The Harmonic Mean as the Basis of a Realistic Two-Sex Marriage Model . Demography , 18 , 201 – 16 . 10.2307/2061093 Siow , A. ( 1998 ). Differential Fecundity, Markets and Gender Roles...
Journal Article
Demography (2017) 54 (1): 145–173.
Published: 05 January 2017
... ij d and r ij s result from male to female sex ratio at birth and differential survival rates of daughters and sons to adulthood. We adopt Schoen’s harmonic mean mating rule (Schoen 1981 , 1988 ), which assumes a particular functional form for how the number of marriages between...
FIGURES
Journal Article
Demography (1983) 20 (4): 433–447.
Published: 01 November 1983
...). The number of unweighted unmarried persons age 25 and over in 1960 is 2,182; in 1970,2,629; and in 1976, 18,999. Weighting each sample to the harmonic mean for the three groups gives an N of 3,366 per survey." Similar weighting is also done for unmarried persons not living with related children. Variable...
Journal Article
Demography (1986) 23 (2): 247–259.
Published: 01 May 1986
... for the Growth of Human Populations . Cambridge : Cambridge University Press . Pollard R. A. ( 1977 ). The continuing attempt to incorporate both sexes into marriage analysis . International Population Conference, Mexico 1977 , I , 291 – 309 . Schoen R. ( 1981 ). The harmonic mean...
Journal Article
Demography (1989) 26 (3): 451–465.
Published: 01 August 1989
... distribution that has the expected mean of M/pj. Since each couple has M boys under this rule, the expected proportion of boys in the population of children whose parents have completed childbearing becomes (9) Stopping Rules and Sex Dilferences 457 Hence the proportion of boys becomes the harmonic mean of Pi...
Journal Article
Demography (1982) 19 (4): 511–526.
Published: 01 November 1982
... ). The Harmonic Mean as the Basis of a Realistic Two-Sex Marriage Model . Demography , 18 , 201 – 216 . 10.2307/2061093 Taeuber Karl E. , & Taeuber Alma F. ( 1976 ). A Practitioner’s Perspective on the Index of Dissimilarity . American Sociological Review , 41 , 884 – 889 . 10.2307...
Journal Article
Demography (2022) 59 (4): 1571–1593.
Published: 01 August 2022
... for researchers to identify the characteristics of spouses, such as age and educational level. Other OECD countries (e.g., Colombia, Poland) lack harmonized labor market–related variables and are also excluded from the analysis. 2 Schoen’s (1988) well-known harmonic mean–based marriage rate...
FIGURES
Includes: Supplementary data