### 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 language | English (US) |
---|---|

Pages (from-to) | 123-141 |

Number of pages | 19 |

Journal | Mathematical Population Studies |

Volume | 9 |

Issue number | 2 |

State | Published - 2001 |

Externally published | Yes |

### Fingerprint

### Keywords

- Marriage
- Modeling
- Simulation
- Two-sex population

### ASJC Scopus subject areas

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

### Cite this

*Mathematical Population Studies*,

*9*(2), 123-141.

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

Research output: Contribution to journal › Article

*Mathematical Population Studies*, vol. 9, no. 2, pp. 123-141.

}

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 -