The mathematics of sex and marriage, revisited

M. Martcheva, Fabio Milner

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We analyze the problem of modeling marriages in a two-sex model of population dynamics. We first deal with the problem of incomplete and inconsistent census data and then use a simulator to compare the performance of a variety of marriage functions in modeling births and couples during the ten-year period between consecutive U.S. censuses. Unlike most empirical methods for comparing marriage functions based on goodness of fit, the differences in the projections of the various functions in our method are of the same magnitude (or even smaller) than the errors between the projected and real data. We observe that for the population of the United States, the harmonic mean function frequently found and used in the literature is a quite poor performer when compared with many other functions in the family we use.

Original languageEnglish (US)
Pages (from-to)123-141
Number of pages19
JournalMathematical Population Studies
Volume9
Issue number2
StatePublished - 2001
Externally publishedYes

Fingerprint

marriage
Mathematics
mathematics
Marriage
Censuses
gender
census
census data
Population Dynamics
modeling
simulator
population dynamics
empirical method
Parturition
population development
projection
methodology
Population
method
performance

Keywords

  • Marriage
  • Modeling
  • Simulation
  • Two-sex population

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Geography, Planning and Development
  • Demography

Cite this

The mathematics of sex and marriage, revisited. / Martcheva, M.; Milner, Fabio.

In: Mathematical Population Studies, Vol. 9, No. 2, 2001, p. 123-141.

Research output: Contribution to journalArticle

@article{277322924d8147b0ba211e40b2694469,
title = "The mathematics of sex and marriage, revisited",
abstract = "We analyze the problem of modeling marriages in a two-sex model of population dynamics. We first deal with the problem of incomplete and inconsistent census data and then use a simulator to compare the performance of a variety of marriage functions in modeling births and couples during the ten-year period between consecutive U.S. censuses. Unlike most empirical methods for comparing marriage functions based on goodness of fit, the differences in the projections of the various functions in our method are of the same magnitude (or even smaller) than the errors between the projected and real data. We observe that for the population of the United States, the harmonic mean function frequently found and used in the literature is a quite poor performer when compared with many other functions in the family we use.",
keywords = "Marriage, Modeling, Simulation, Two-sex population",
author = "M. Martcheva and Fabio Milner",
year = "2001",
language = "English (US)",
volume = "9",
pages = "123--141",
journal = "Mathematical Population Studies",
issn = "0889-8480",
publisher = "Taylor and Francis Ltd.",
number = "2",

}

TY - JOUR

T1 - The mathematics of sex and marriage, revisited

AU - Martcheva, M.

AU - Milner, Fabio

PY - 2001

Y1 - 2001

N2 - We analyze the problem of modeling marriages in a two-sex model of population dynamics. We first deal with the problem of incomplete and inconsistent census data and then use a simulator to compare the performance of a variety of marriage functions in modeling births and couples during the ten-year period between consecutive U.S. censuses. Unlike most empirical methods for comparing marriage functions based on goodness of fit, the differences in the projections of the various functions in our method are of the same magnitude (or even smaller) than the errors between the projected and real data. We observe that for the population of the United States, the harmonic mean function frequently found and used in the literature is a quite poor performer when compared with many other functions in the family we use.

AB - We analyze the problem of modeling marriages in a two-sex model of population dynamics. We first deal with the problem of incomplete and inconsistent census data and then use a simulator to compare the performance of a variety of marriage functions in modeling births and couples during the ten-year period between consecutive U.S. censuses. Unlike most empirical methods for comparing marriage functions based on goodness of fit, the differences in the projections of the various functions in our method are of the same magnitude (or even smaller) than the errors between the projected and real data. We observe that for the population of the United States, the harmonic mean function frequently found and used in the literature is a quite poor performer when compared with many other functions in the family we use.

KW - Marriage

KW - Modeling

KW - Simulation

KW - Two-sex population

UR - http://www.scopus.com/inward/record.url?scp=0034920978&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034920978&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0034920978

VL - 9

SP - 123

EP - 141

JO - Mathematical Population Studies

JF - Mathematical Population Studies

SN - 0889-8480

IS - 2

ER -