Abstract
This article analyzes the relationship between family policies focused on childcare for children under the age of three and fertility levels. In the current context of very low European fertility, it is important to understand whether public support for families can help increase fertility or if, on the contrary, existing fertility levels are the exact reflection of the reproductive desires of families, regardless of the family-support of the policies that may exist in each country. This analysis was carried out through a stochastic dynamic mathematical model that incorporates both demographic variables and family policy variables. A sensitivity analysis was carried out on Spain and Norway, two countries that have very different models of family policies. This sensitivity analysis allows establishing a relationship between the existing family policies and the total fertility rate and also the expected evolution of fertility rates in the future, if the current family policies remain constant. The results showed that the models which lead to an increase in fertility are those which are most generous and which also incorporate a gender perspective, so they allow the identification of good practices and maximum levels of policy efficiency in regards to different objectives such as increase fertility and advances towards gender equality. By contrast, models with erratic and insufficient support clearly contribute to maintaining fertility at very low levels and perpetuate unequal gender relationships. There is, therefore, space for state agency to develop more effective public policies in both dimensions.
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Source: own elaboration

Source: own elaboration

Source: own elaboration

Source: own elaboration

Source: own elaboration

Source: own elaboration

Source: own elaboration

Source: own elaboration

Source: own elaboration
Notes
The list of variables included in the model is available in “Appendix”.
To observe the actual effect of each input variable on the given output variable, we must consider that the other input variables are constant or we must take a random sample of all possible combined values. Otherwise, as in the present case, the analysis will be valid only for the specific situation examined. An example of this approach is explained in Caselles et al. (1999).
The model was validated for all the variables, applying the methodology followed by Sanz, Díaz Gandasegui and Elizalde-San Miguel (2019)
References
Baizán, P. (2009). Regional child care availability and fertility decisions in Spain. Demographic research, 21, 803–842.
Baizán, P., Arpino, B., & Delclós, C. E. (2016). The effect of gender policies on fertility: The moderating role of education and normative context. European Journal of Population, 32(1), 1–30.
Beaujouan, E., & Berghammer, C. (2019). The gap between lifetime fertility intentions and completed fertility in Europe and the United States: A cohort approach. Population Research and Policy Review, 38, 507–535.
Billari, F., & Kohler, H. P. (2004). Patterns of low and lowest-low fertility in Europe. Population studies, 58(2), 161–176.
Billingsley, S., & Ferrarini, T. (2014). Family policy and fertility intentions in 21 European countries. Journal of Marriage and Family, 76(2), 428–445. https://doi.org/10.1111/jomf.2014.76.issue-2.
Björklund, A. (2006). Does family policy affect fertility? Journal of Population Economics, 19(1), 3–24. https://doi.org/10.1007/s00148-005-0024-0.
Brandth, B., & Kvande, E. (2018). Enabling or promoting gender equality through parental leave policies. Revista Española de Sociología, 27, 107–120. https://doi.org/10.22325/fes/res.2018.36.
Brinton, M. C., & Lee, D. J. (2016). Gender-role ideology, labor market institutions, and post-industrial fertility. Population and Development Review, pp. 405–433.
Bueno, X., García Román, J. (2020). La fecundidad según la diferencia educativa y laboral entre cónyuges: ¿Tanto monta, monta tanto?. Perspectives Demogràphiques, p.21.
Campillo Poza, I. (2010). Políticas de conciliación de la vida laboral y familiar en los regímenes de bienestar mediterráneos: los casos de Italia y España. Política y sociedad, 47(1), 189–213.
Caselles, A., Ferrer, L., Martínez de Lejarza, I., Pla, R., & Temre, R. (1999). Control del desempleo por Simulación. Valencia: Universitat de València.
Caselles, A. (1998). A tool for discovery by complex function fitting. In R. Trappl (Ed.), Cybernetics and systems research ’98 (pp. 787–792). Vienna, Austria: Austrian Society for Cybernetic Studies.
Caselles, A. (2008). Modelización y simulación de sistemas complejos [Modeling and simulation of complex systems]. València, Spain: Universitat de València. Retrieved from http://www.uv.es/caselles
Castro-Martín, T. & Martín-García, T. (2013). “Fecundidad bajo mínimos en España: pocos hijos, a edades tardías y por debajo de las aspiraciones reproductivas”, In G. Esping-Andersen (Coord.), El déficit de la natalidad en Europa. La singularidad del caso español, Barcelona: Obra Social La Caixa, pp. 48–88
Castro-Martín, T., & Martín-García, T. (2016). La fecundidad en España: entre las más bajas del mundo y sin muchas perspectivas de recuperación. Panorama social, 23, 11–26.
Castro-Martín, T., Martín-García, T., Cordero, J. & Seiz, M. (2018). El desafío de la baja fecundidad en España. In Informe España 2018 (pp. 165–232). Cátedra José María Martín Patino de la Cultura del Encuentro.
Castro-Martín, T., Martín-García, T., Cordero, J., & Seiz, M. (2020). La muy baja fecundidad en España: la brecha entre deseos y realidades reproductivas. Dossier Economistas sin Fronteras, 36, 8–13.
Castro-Martín, T. & M. Seiz (2014), “La transformación de las familias en España desde una perspectiva sociodemográfica”, VII Informe sobre exclusión y desarrollo social en España, Documento de Trabajo 1.1, Madrid, Fundación Foessa
D’Addio, A. C., & d’Ercole, M. M. (2005). Trends and determinants of fertility rates: The role of policies (Vol. 27). France: OECD Social, Employment and Migration Working Papers, OECD Publishing.
Del Rey Poveda, A., & Ortega Osona, J. (2011). La reproducción de la población en las provincias españolas (1975–2005). Análisis a través del reemplazo de nacimientos. Revista Internacional de Sociología, 69(1), 91–120.
Devolder, D., & Bueno, X. (2011). Interacciones entre fecundidad y migración. Un estudio de las personas nacidas en el extranjero y residentes en Cataluña en 2007. Documents d’anàlisi geogràfica, 57(3), 441–467.
Díaz Gandasegui, V., Díaz-Gorfinkiel, M., & Elizalde-San Miguel, B. (2017). Caring for children under three years in two different models of welfare states: The cases of Spain and Norway. Journal of Comparative Family Studies, 48(2), 157–175.
Djidjeli, K., Price, W. G., Temarel, P., & Twizell, E. H. (1998). Partially implicit schemes for the numerical solutions of some non-linear differential equations. Applied Mathematics and Computation, 96, 177–207.
Eydal, G. B., & Rostgaard, T. (2011). Day care schemes and cash for care at home. In Norden (Ed.) Parental leave, childcare and gender equality in the Nordic Countries. http://ffdd.ru/activity/attach/information/182/parental_leavechildcare_and_gender_equality_in_the_nordi c_countries.pdf
Elizalde-San Miguel, B., Díaz Gandasegui, V., & Díaz Gorfinkiel, M. (2019). Is involved fatherhood possible structural elements influencing the exercise of paternity in Spain and Norway. Journal of Family Issues. https://doi.org/10.1007/s11205-018-1920-5.
Elizalde-San Miguel, B., Díaz Gandasegui, V., & Sanz, M. T. (2019). Family policy index: A tool for policy makers to increase the efectiveness of family policies. Social Indicators Research, 142(1), 387–409. https://doi.org/10.1007/s11205-018-1920-5.
Esping-Andersen, G. (1990). The three worlds o f welfare capitalism. Oxford: Polity Press.
Ferrera, M. (1996). The southern model of welfare in social Europe. Journal of European Social Policy, 20(4), 283–300.
Gauthier, A. H. (2013). Family policy and fertility: Do policies make a difference? In A. Buchanan & A. Rotkirch (Eds.), Fertility rates and population decline (pp. 269–287). London, UK: Palgrave Macmillan.
Gauthier, A. H., & Philipov, D. (2008). Can policies enhance fertility in Europe? (pp. 1–16). Vienna, Austria: Yearbook of Population Research.
Gietel-Basten, S., & Sobotka, T. (2020). Uncertain population futures: Critical reflections on the IHME Scenarios of future fertility, mortality, migration and population trends from 2017 to 2100. https://doi.org/10.31235/osf.io/5syef.
Gornick, J. C., & Meyers, M. K. (2008). Creating gender egalitarian societies: An agenda for reform. Politics and Society, 36(3), 313–349.
Hegewisch, A., & Gornick, J. (2010). The impact of work-family policies on women’s employment: A review of research from OECD countries. Community, Work and Family, 14(2), 119–138. https://doi.org/10.1080/13668803.2011.571395.
Hoem, J. M. (2008). The impact of public policies on European fertility. Demographic Research, 19, 249–260. https://doi.org/10.4054/DemRes.2008.19.10.
Kalwij, A. (2010). The impact of family policy expenditure on fertility in western Europe. Demography, 47(2), 503–519.
Kammerman, S. B., & Kahn, A. J. (1994). Family policy and the under threes: money, services and time in a policy package. International Social Security Review, 47(3–4), 31–43.
Korpi, W. (2000). Faces of inequality: Gender, class and patters of inequalities in different types of welfare States. Social Politics: International Studies in Gender, State and Society, 7(2), 127–191. https://doi.org/10.1093/sp/7.2.127.
Kvande, E. (2009). Work-Life balance for fathers in globalized knowledge work. Some insights from the Norwegian context. Gender, Work and Organization, 16(1), 58–72. https://doi.org/10.1111/j.1468-0432.2008.00430.x.
Lappegård, T. (2010). Family policies and fertility in Norway. European Journal of Population/Revue européenne de Démographie, 26(1), 99–116. https://doi.org/10.1007/s10680-009-9190-1.
León, M., & Pavolini, E. (2014). Social investment or back to ‘Familism’: The impact of the economic crisis on family and care policies in Italy and Spain. South European Society and Politics, 19(3), 353–369.
Luci-Greulich, A., & Thévenon, O. (2013). The impact of family policies on fertility trends in developed countries. European Journal of Population/Revue européenne de Démographie, 29(4), 387–416. https://doi.org/10.1007/s10680-013-9295-4.
McDonald, P. (2001). Work-family policies are the right approach to the prevention of very low fertility. People and Place, 9(3), 17.
Micó, J. C., Caselles, A., Soler, D., Sanz, T., & Martínez, E. (2008). A side-by-side single sex age-structured human population dynamic model: Exact solution and model validation. The Journal of Mathematical Sociology, 32(4), 285–321. https://doi.org/10.1080/00222500802352758.
Micó, J. C., Soler, D., Sanz, M. T., Caselles, A., & Amigó, S. (2019). Optimizing the demographic rates to control the dependency ratio through a genetic algorithm. In R. Company, J. C. Cortés, L. Jódar, & E. López-Navaroo (Eds.), Mathematical modelling in engineering & human behaviour 2019 (pp. 185–192). Valencia, Spain: Universitat Politècnica de València.
OECD. (2017). The pursuit of gender equality: An unphill battle. Paris: OECD Publishing.
Rindfuss, R. R., Guilkey, D. K., Morgan, S. P., & Kravdal, Ø. (2010). Child-care availability and fertility in Norway. Population and Development Review, 36(4), 725–748.
Rønsen, M. (2004). Fertility and family policy in Norway—A reflection on trends and possible connections. Demographic Research, 10, 265–286. https://doi.org/10.4054/DemRes.2004.10.10.
Rønsen, M., & Skrede, K. (2010). Can public policies sustain fertility in the Nordic countries?: Lessons from the past and questions for the future. Demographic Research, 22, 321–346.
Rostgaard, T. (2014). Family policies in Scandinavia. Berlin, Germany: Friedrich Ebert Stiftung.
Salles, A., Rossier, C., & Brachet, S. (2010). Understanding the long term effects of family policies on fertility: The diffusion of different family models in France and Germany. Demographic Research, 22, 1057–1096.
Sanz, M. T., Díaz Gandasegui, V., & Elizalde-San Miguel, B. (2019). Sense and sensibility: using a model to examine the relationship between public pre-school places and fertility. The Journal of Mathematical Sociology, On-line first. https://doi.org/10.1080/0022250X.2019.1583226.
Spanish National Statistical Institute (2019). España en cifras 2019. INE: Madrid. Available at: https://www.ine.es/prodyser/espa_cifras/2019/12/.
Tobío, C. & Fernandez-Cordón, J. A. (2005). Conciliar las responsabilidades familiares y laborales: políticas y prácticas sociales (V.2). Madrid: Fundación Alternativas.
Sobotka, T., & Beaujouan, E. (2014). Two is best? The persistence of a two-child family ideal in Europe. Population and Development Review, 40(3), 391–419.
Thévenon, O. (2010). Fertility in OECD countries: An assessment of macro-level trends and policy responses (Work Package, 2). REPRO Reproductive Decision-Making in a Macro-Micro Perspective. Vienna Institute of Demography, Vienna, Austria.
Thévenon, O. (2011). Family policies in OECD countries: A comparative analysis. Population and Development Review, 37(1), 57–87.
Thévenon, O., & Gauthier, A. H. (2011). Family policies in developed countries: A ‘fertility-booster’ with side-effects. Community, Work and Family, 14(2), 197–216. https://doi.org/10.1080/13668803.2011.571400.
Vollset, S. E., et al. (2020). Fertility, mortality, migration, and population scenarios for 195 countries and territories from 2017 to 2100: a forecasting analysis for the Global Burden of Disease Study. The Lancet, 396(10258), 1258–1306. https://doi.org/10.1016/S0140-6736(20)30677-2.
Wolfram Research, Inc. (2017). Mathematica, Version 11.00, Champaign, IL.
Funding
This study was conducted under two competitive research projects: “Ecuaciones en Derivadas Parciales Singulares” (MTM2017-85449-P) and Childcare Practices among Families in Spain: Agents, Practices and Satisfaction (CSO2017-84634-R), funded by the Ministry of Economy, Industry and Competitiveness. It was also supported by the I-Communitas Research Institute—Institute for Advanced Social Research of the Public University of Navarra and the Department of Social Analysis of the Carlos III University of Madrid.
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Díaz Gandasegui, V., Elizalde-San Miguel, B. & Sanz, M.T. Back to the Future: a Sensitivity Analysis to Predict Future Fertility Rates Considering the Influence of Family Policies—The Cases of Spain and Norway. Soc Indic Res 154, 943–968 (2021). https://doi.org/10.1007/s11205-020-02566-7
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DOI: https://doi.org/10.1007/s11205-020-02566-7
Keywords
- Family policies
- Fertility rates
- Gender equality
- Work-life balance
- Mathematical sociology