<p>Quantile regression have its advantage properties comparing to the OLS model regression which are full measurement of the effects of a covariate on response, robustness and Equivariance property. In this paper, I use a survey data in Belgium and apply a linear model to see the advantage properites of quantile regression. And I use a quantile regression model with the raw data to analyze the different cost of family on different numbers of children and apply a Wald test. The result shows that for most of the family types and living standard, from the lower quantile to the upper quantile the family cost on children increases along with the increasing number of children and the cost of each child is the same. And we found a common behavior that the cost of the second child is significantly more than the cost of the first child for a nonworking type of family and all living standard families, at the upper quantile (from 0.75 quantile to 0.9 quantile) of the conditional distribution.</p>

Quantile regression have its advantage properties comparing to the OLS model regression which are full measurement of the effects of a covariate on response, robustness and Equivariance property. In this paper, I use a survey data in Belgium and apply a linear model to see the advantage properites of quantile regression. And I use a quantile regression model with the raw data to analyze the different cost of family on different numbers of children and apply a Wald test. The result shows that for most of the family types and living standard, from the lower quantile to the upper quantile the family cost on children increases along with the increasing number of children and the cost of each child is the same. And we found a common behavior that the cost of the second child is significantly more than the cost of the first child for a nonworking type of family and all living standard families, at the upper quantile (from 0.75 quantile to 0.9 quantile) of the conditional distribution.

Cette thèse se donne pour objectif de contribuer à la compréhension des tendances démographiques en Afrique subsaharienne par l’examen de l’influence de la mortalité infantile sur les comportements de fécondité. Dans le premier chapitre, j’examine la relation entre mortalité infantile et fécondité à l’échelle micro-économique. Des modèles de données de comptage sont utilisés pour analyser les déterminants de la fécondité complète de femmes d’une communauté rurale sénégalaise. Je montre que l’effet global de la mortalité infantile est positif tant sur la fécondité totale que sur la fécondité nette. De plus, j’identifie une relation en U inversé entre mortalité infantile et fécondité nette. Dans le second chapitre, j’analyse les effets de la mortalité infantile sur les comportements reproductifs dans un modèle de fécondité endogène où la survie infantile est stochastique. J’adopte une forme fonctionnelle de coût des enfants englobant quatre scénarios différents, chacun représentant un contexte socio-économique distinct. Mon modèle peut prédire des réponses positives et négatives de la fécondité, selon que les enfants sont respectivement “intensifs en temps” ou “pourvoyeurs en temps”. Finalement, le troisième chapitre analyse les effets de la mortalité et de la morbidité infantiles sur le processus de décision de fécondité des femmes rurales sénégalaises. J’estime des modèles dynamiques non linéaires de données de panel. Je montre que la mortalité et la morbidité palustres à l’échelle de la communauté, ont un effet positif sur les décisions ultérieures de fécondité. Cet effet est d’autant plus fort que la maladie est létale pour les enfants infectés. / This dissertation attempts to contribute to the understanding of current demographic trends in sub-Saharan Africa by examining the role of child mortality in shaping fertility behavior. In the first chapter of this dissertation, I examine the relationship between child mortality and fertility at the micro level. Count data models are employed to investigate the determinants of completed fertility of women from a Senegalese rural community. The global effect of child mortality on total and net fertility is found to be positive. I also identify an inverted-U shaped relationship between child mortality and net fertility. In the second chapter of this dissertation, I analyze the effects of child mortality changes on fertility behaviors in an endogenous fertility model where child survival is stochastic. I adopt a functional form for the cost of children that allows for four different scenarios, each of which is representative of a particular socio-economic setting. My model can predict both positive and negative fertility responses to child mortality depending on whether children are “time-intensive” or “time-supplying”, respectively. Finally, the third chapter analyzes the effects of childhood mortality and morbidity on the fertility decision-making process among rural Senegalese women. I estimate nonlinear dynamic panel data models of fertility behavior. I find that community child mortality and morbidity attributable to malaria exert a joint influence on fertility behaviors. Community-level malaria incidence among children has a positive effect on subsequent fertility choices, and this positive effect is stronger the more the disease is fatal to children who are infected.