IDEAS home Printed from https://ideas.repec.org/a/ijm/journl/v5y2012i1p31-51.html
   My bibliography  Save this article

A Mate-Matching Algorithm for Continuous-Time Microsimulation Models

Author

Listed:
  • Sabine Zinn

    (Max Planck Institute for Demographic Research, Laboratory of Statistical Demography, Rostock, Germany)

Abstract

The timing of partnership formation in closed continuous-time microsimulation models poses difficulties due to the continuous time scale. In this paper the problem is resolved by the concept of a partnership market, which individuals can enter and leave at any point in time over the complete simulation time range. Each individual, who looks for a spouse, remains in the market for a specific period during which searching and matching is performed. To build up synthetic couples, the model imitates a decision making-process. The decision to enter a partnership depends on empirically estimated logit models for the probability that a given woman and a given man will get together, and also on an individual aspiration level regarding a potential partner. A couple is formed if a positive decision has been made and the timing of the partnership formation is consistent with the individual searching periods of the prospective spouses. The algorithm is illustrated by an example in which simulations are run to project a synthetic population, similar to the population of the Netherlands, by using an extended version of the microsimulation tool of the MicMac project.

Suggested Citation

  • Sabine Zinn, 2012. "A Mate-Matching Algorithm for Continuous-Time Microsimulation Models," International Journal of Microsimulation, International Microsimulation Association, vol. 5(1), pages 31-51.
  • Handle: RePEc:ijm:journl:v:5:y:2012:i:1:p:31-51
    as

    Download full text from publisher

    File URL: http://www.microsimulation.org/IJM/V5_1/3_IJM_5_1_spring_2012_Zinn.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. I. D. Currie & M. Durban & P. H. C. Eilers, 2006. "Generalized linear array models with applications to multidimensional smoothing," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 68(2), pages 259-280, April.
    2. repec:cai:popine:popu_p1998_10n1_0136 is not listed on IDEAS
    3. Francesco C. Billari, 2000. "Searching for Mates Using 'Fast and Frugal' Heuristics: a Demographic Perspective," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 3(01n04), pages 53-65.
    4. Peter Todd & Francesco Billari & Jorge Simão, 2005. "Aggregate age-at-marriage patterns from individual mate-search heuristics," Demography, Springer;Population Association of America (PAA), vol. 42(3), pages 559-574, August.
    5. Kevin Perese, 2002. "Mate Matching for Microsimulation Models: Technical Paper 2002-3," Working Papers 14211, Congressional Budget Office.
    6. Neal Bouffard & Richard Easther & Tom Johnson & Richard J. Morrison & Jan Vink, 2001. "Matchmaker, Matchmaker, Make Me a Match," Brazilian Electronic Journal of Economics, Department of Economics, Universidade Federal de Pernambuco, vol. 4(2), December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Maria Winkler-Dworak & Eva Beaujouan & Paola Di Giulio & Martin Spielauer, 2019. "Simulating Family Life Courses: An Application for Italy, Great Britain, and Scandinavia," VID Working Papers 1908, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna.
    2. Gál, Róbert Iván & Törzsök, Árpád, 2015. "Háztartás-formálódás a MIDAS modellben [Household formation in the MIDAS-HU model]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(12), pages 1343-1358.
    3. Sebastian Dräger & Johannes Kopp & Ralf Münnich & Simon Schmaus, 2021. "Analyse der Grundschulversorgung in Trier mit Hilfe kleinräumiger Mikrosimulationsmodelle," Research Papers in Economics 2021-01, University of Trier, Department of Economics.
    4. Anna Klabunde & Frans J. Willekens & Sabine Zinn & Matthias Leuchter, 2015. "An agent-based decision model of migration, embedded in the life course - Model description in ODD+D format," MPIDR Working Papers WP-2015-002, Max Planck Institute for Demographic Research, Rostock, Germany.
    5. Susan M. Rogers & James Rineer & Matthew D. Scruggs & William D. Wheaton & Phillip C. Cooley & Douglas J. Roberts & Diane K. Wagener, 2014. "A Geospatial Dynamic Microsimulation Model for Household Population Projections," International Journal of Microsimulation, International Microsimulation Association, vol. 7(2), pages 119-146.
    6. Maria Winkler-Dworak & Eva Beaujouan & Paola Di Giulio & Martin Spielauer, 2021. "Simulating family life courses: An application for Italy, Great Britain, Norway, and Sweden," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 44(1), pages 1-48.
    7. Sebastian Dräger & Johannes Kopp & Ralf Münnich & Simon Schmaus, 2022. "Die zukünftige Entwicklung der Grundschulversorgung im Kontext ausgewählter Wanderungsszenarien [The future development of primary school demand in the context of selected migration scenarios]," AStA Wirtschafts- und Sozialstatistisches Archiv, Springer;Deutsche Statistische Gesellschaft - German Statistical Society, vol. 16(1), pages 51-77, March.
    8. Nathan Geffen & Stefan Scholz, 2017. "Efficient and Effective Pair-Matching Algorithms for Agent-Based Models," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 20(4), pages 1-8.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lyndon Walker & Peter Davis, 2013. "Modelling "Marriage Markets": A Population-Scale Implementation and Parameter Test," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 16(1), pages 1-6.
    2. Kostas Rontos & Luca Salvati, 2020. "Space Matters? Exploring Gender Differentials in the Age at Marriage, Greece (1980–2017)," Social Sciences, MDPI, vol. 9(4), pages 1-18, April.
    3. Lee, Dae-Jin & Durbán, María, 2009. "P-spline anova-type interaction models for spatio-temporal smoothing," DES - Working Papers. Statistics and Econometrics. WS ws093312, Universidad Carlos III de Madrid. Departamento de Estadística.
    4. Jakub Bijak & Jason D. Hilton & Eric Silverman & Viet Dung Cao, 2013. "Reforging the Wedding Ring," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 29(27), pages 729-766.
    5. Welham, S.J. & Thompson, R., 2009. "A note on bimodality in the log-likelihood function for penalized spline mixed models," Computational Statistics & Data Analysis, Elsevier, vol. 53(4), pages 920-931, February.
    6. E. Zanini & E. Eastoe & M. J. Jones & D. Randell & P. Jonathan, 2020. "Flexible covariate representations for extremes," Environmetrics, John Wiley & Sons, Ltd., vol. 31(5), August.
    7. Ahbab Mohammad Fazle Rabbi & Stefano Mazzuco, 2021. "Mortality Forecasting with the Lee–Carter Method: Adjusting for Smoothing and Lifespan Disparity," European Journal of Population, Springer;European Association for Population Studies, vol. 37(1), pages 97-120, March.
    8. Chelsey Hill & James Li & Matthew J. Schneider & Martin T. Wells, 2021. "The tensor auto‐regressive model," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 40(4), pages 636-652, July.
    9. Hanzhe Zhang, 2021. "An Investment-and-Marriage Model with Differential Fecundity: On the College Gender Gap," Journal of Political Economy, University of Chicago Press, vol. 129(5), pages 1464-1486.
    10. Carlo G. Camarda & Paul H. C. Eilers & Jutta Gampe, 2017. "Modelling trends in digit preference patterns," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 66(5), pages 893-918, November.
    11. Yingxing Li & Chen Huang & Wolfgang Karl Härdle, 2017. "Spatial Functional Principal Component Analysis with Applications to Brain Image Data," SFB 649 Discussion Papers SFB649DP2017-024, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    12. Militino, A.F. & Goicoa, T. & Ugarte, M.D., 2012. "Estimating the percentage of food expenditure in small areas using bias-corrected P-spline based estimators," Computational Statistics & Data Analysis, Elsevier, vol. 56(10), pages 2934-2948.
    13. Ayma Anza, Diego Armando & Durbán, María & Lee, Dae-Jin & Van de Kassteele, Jan, 2016. "Modelling latent trends from spatio-temporally grouped data using composite link mixed models," DES - Working Papers. Statistics and Econometrics. WS 23448, Universidad Carlos III de Madrid. Departamento de Estadística.
    14. Philipp F. M. Baumann & Enzo Rossi & Alexander Volkmann, 2020. "What Drives Inflation and How: Evidence from Additive Mixed Models Selected by cAIC," Papers 2006.06274, arXiv.org, revised Aug 2022.
    15. Bourguignon, François & Bussolo, Maurizio, 2013. "Income Distribution in Computable General Equilibrium Modeling," Handbook of Computable General Equilibrium Modeling, in: Peter B. Dixon & Dale Jorgenson (ed.), Handbook of Computable General Equilibrium Modeling, edition 1, volume 1, chapter 0, pages 1383-1437, Elsevier.
    16. Jan-Maarten van Sonsbeek & j.m.van.sonsbeek@vu.nl, 2011. "Micro simulations on the effects of ageing-related policy measures: The Social Affairs Department of the Netherlands Ageing and Pensions Model," International Journal of Microsimulation, International Microsimulation Association, vol. 4(1), pages 72-99.
    17. André Grow & Jan Van Bavel, 2020. "The Gender Cliff in the Relative Contribution to the Household Income: Insights from Modelling Marriage Markets in 27 European Countries," European Journal of Population, Springer;European Association for Population Studies, vol. 36(4), pages 711-733, September.
    18. Basile, Roberto & Durbán, María & Mínguez, Román & María Montero, Jose & Mur, Jesús, 2014. "Modeling regional economic dynamics: Spatial dependence, spatial heterogeneity and nonlinearities," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 229-245.
    19. Benchimol, Andrés Gustavo & Albarrán Lozano, Irene & Marín Díazaraque, Juan Miguel & Alonso, Pablo J., 2015. "Hierarchical Lee-Carter model estimation through data cloning applied to demographically linked countries," DES - Working Papers. Statistics and Econometrics. WS ws1510, Universidad Carlos III de Madrid. Departamento de Estadística.
    20. Jonas Zangenberg Hansen & Peter Stephensen & Joachim Borg Kristensen, 2013. "Household Formation and Housing Demand Forecasts," DREAM Working Paper Series 201308, Danish Rational Economic Agents Model, DREAM.

    More about this item

    Keywords

    mate-matching algorithm; closed mating model; continuous-time microsimulation; compatibility index;
    All these keywords.

    JEL classification:

    • J11 - Labor and Demographic Economics - - Demographic Economics - - - Demographic Trends, Macroeconomic Effects, and Forecasts
    • J12 - Labor and Demographic Economics - - Demographic Economics - - - Marriage; Marital Dissolution; Family Structure
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ijm:journl:v:5:y:2012:i:1:p:31-51. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Jinjing Li (email available below). General contact details of provider: http://www.microsimulation.org/ijm/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.