ECONOMICS DISSERTATION COVER SHEET STUDENT ID: 2693268 DATE: 18th July NAME OF SUPERVISOR: Dr Otto Lenhart DISSERTATION TITLE: Does Income Gap Affect the Fertility Intention? — Evidence from China WORD COUNT: 13247 PROGRAMME OF STUDY: Economic Development, MSc Adam Smith Business School West Quadrangle, Gilbert Scott Building, Glasgow, G12 8QQ, Scotland UK Telephone: +44 (0)141 330 3993 Facsimile: +44 (0)141 330 4939 Email: business-school@glasgow.ac.uk The University of Glasgow, charity number SC004401 Table of Contents Abstract ...................................................................................................................... 4 1. Introduction ........................................................................................................... 5 2. Literature Review .................................................................................................. 8 2.1 Fertility Intention ................................................................................................ 8 2.2 Income Gap...................................................................................................... 13 2.3 China Context .................................................................................................. 18 3. Theoretical Model and Mechanism ........................................................................... 20 3.1 Basic Model ..................................................................................................... 21 3.2 Mechanism Analysis ......................................................................................... 22 4. Data and Empirical Model ....................................................................................... 23 4.1 Data Resources and Data Processing ................................................................... 23 4.2 Empirical Model ............................................................................................... 30 5. Econometric Result and Analysis ............................................................................. 31 5.1Baseline Regression Result ................................................................................. 31 5.2Panel Data estimate analysis ............................................................................... 39 6. Robustness Test and Heterogeneity Analysis ............................................................. 42 6.1 Robustness Test ................................................................................................ 42 6.2 Heterogeneity Analysis ...................................................................................... 46 6.2.1 Spatial heterogeneity analysis....................................................................... 47 6.2.2Family heterogeneity analysis ....................................................................... 51 7. Conclusion and Policy Suggestion ............................................................................ 55 Reference ................................................................................................................. 57 2 List of Tables Table 1. Descriptive statistics of variables................................................................... 28 Table 2. Baseline Regression Result ............................................................................ 33 Table 3.Average Marginal Effect ................................................................................ 38 Table 4. Fix Effect Model and Randomize Effect Model ............................................. 41 Table 5. Average Marginal Effect of Fixed Effect Model ............................................. 41 Table 6.Sub-sample robustness tests ........................................................................... 44 Table 7.AME of subsamples ....................................................................................... 45 Table 8.Differences in fertility intentions under spatial heterogeneity ........................ 49 Table 9.Average Marginal Effect of different regions ................................................. 50 Table 10.Differences in fertility intentions by education level ..................................... 52 Table 11.Average Marginal Effect of Education ......................................................... 52 Table 12. Logit estimation and AME of income level .................................................. 54 3 Does Income Gap Affect the Fertility Intention? — Evidence from China Abstract The current stage of accelerated population ageing and uneven income distribution plague China's development and micro-economic decision-making by households. This paper uses Chinese General Social Survey (CGSS) data from 2010 to 2017 to delve into the impact of changes in social income disparity at the macro level on micro household fertility intentions by estimating a linear probability model, logit model compared with a Probit model. The empirical results show that the widening income gap significantly inhibits households' fertility intentions. At the same time, there are significant regional and micro-level differences in this effect. In terms of regional differences, the impact on the western region is significantly smaller than on the central and eastern regions. At the household level, differences in the level of education and income of families affect their ability to cope with the widening income gap. Finally, the policy implications of the above findings are that redistributive income policies are actively being improved to reduce income inequality. Also, promote coordinated regional development to reduce disparities between regions. 4 1. Introduction First of all, it is a brief review of China's demographic policy changes. In terms of total population and history, China has always been considered a traditionally large country in the aspect of the population. That is why China introduced the one-child policy in 1978 and it contributed to a great decline in the total population but it was not the sole driving force. Social atmosphere, economic, and cultural change also brought about this decline with the implementation of the one-child policy and continue to keep China’s fertility rate low(Zhou and Guo, 2020). However, with the demographic dividend disappearing and aging population, in 2013 and 2015, the government launched the conditional two-child policy and universal two-child policy respectively. Moreover, the government permitted a three-child policy in 2021. This ongoing series of population policy changes, the rapid shift from strict restrictions to full encouragement, has drawn much interest from both academics and the general public regarding whether the 5 Chinese are willing to have a second child. Secondly, it is about China's demographic situation and future trends. In 2017, the United Nations already mentioned that China's population is expected to show an "inverted V" reversal by the end of the 21st century. China will be in a state of accelerated decline with a low fertility rate. Meanwhile, the National Bureau of Statistics also gives similar data that in 2018, 15.27 million people were born in China, a decrease of 2.01 million from the previous year and a record low since 1962. This is a record low since 1962. The number and share of the working-age population fell for the seventh consecutive year, by 27.71 million in seven years. The number and share of the working-age population fell for the seventh consecutive year, by 2,771,000 in seven years. What’s worse, according to the 7th Census in 2021, the decline in births is a general trend, with 11 provinces already experiencing negative population growth. From the data above, it is apparent that the universal two-child policy has been met with a lukewarm response, with fertility behavior not showing the expected buildup and the population dependency ratio continuing to rise due to the ageing of fewer children. The increasing dependency ratio due to the ageing of the population and the hesitancy of women of childbearing age after the relaxation of the childbirth policy has led to a serious demographic crisis in China. On the other hand, it is about the income gap problem. Although China's economy has been growing at a high rate that has caught the world's attention since the turn of the century, the problems of widening income disparity and declining consumption levels over the same period have come to the fore and have attracted the attention of all sectors 6 of society. Although the latest authoritative public data are not yet available, the World Bank's 2005 development report shows that China's Gini coefficient has exceeded the 0.4 thresholds and is in the lower middle of the global scale. Furthermore, when we talk about the income gap in China, we usually include four kinds of income gap: urbanrural income gap, regional income gap, industrial income gap, and property income gap. In recent years, despite the decline in the number of low-income groups as a result of poverty reduction policies, what more noteworthy is the widening impact of the wealthincome gap. Some scholars estimate that the Gini coefficient of wealth has continued to rise from 0.599 in 2000 to 0.711 in 2015 and on the meanwhile, the uneven allocation of real estate and financial assets to household assets is the main reason for the widening gap in wealth accumulation (Yuan et al, 2020). Thus, it is also crucial to study the impact of income inequality on society as a whole and people’s decision-making. In summary, we further proposed our research question: Does the income gap affect fertility intention? And the contribution of this paper is as follow: First, from the statement above, we can know that fertility intentions and income inequality are hot topics in Chinese society today, and a study combining these two can be relevant and guidance for policy development. Second, at present, research on income disparity in China has mainly focused on the measurement of income disparity, the analysis of the causes of urban-rural income disparity, or the impact of a single factor on income disparity. There is a lack of analysis of the spillover effects of income disparity in terms of the transmission mechanism of the impact of income disparity fluctuations. Thirdly, the empirical results were further analyses for individual heterogeneity, including regional differences, urban-rural differences, and et.al 7 The whole structures of this paper are as followed: section 2 is the literature review, and it will shortly discuss related literature in the fertility intention area and income gap area. Section 3 is mechanism analysis, it will discuss how income disparity specifically affects people's fertility decisions and intentions through literature and theoretical model. Section 4 is the data and empirical model, this part will introduce data sources, data collation process, basic descriptive statistics and empirical model setting for this paper. Section 5 is baseline regression, it will analysis of basic empirical results, and endogeneity issues with the method of panel data, which indicate that the widening income gap has had a significant dampening effect on people's willingness to have children. Section 6 is a robustness check and heterogeneity analysis. Likewise, not only are the findings in the benchmark regressions robust and valid but geographical differences in the impact of income disparities and micro-level differences in households are also found. Section7 is the conclusion and shortcomings. 2. Literature Review This section has three sub-chapters. The main sections include a review of existing research in the area of fertility intentions and income inequality and a presentation of findings from China-specific studies. 2.1 Fertility Intention Low fertility has been a central concern of demographers and policymakers in Europe 8 and East Asia over the past few decades. A large literature has explored the causes of fertility decline in the post-industrial era and the possible reasons for cross-country differences. The existing research literature on this topic can be divided into three main branches. The earliest literature on the microeconomic analysis of family fertility is proposed by Becker (1960). He discussed in the context of the utility maximization theory of family reproductive decision-making. Then based on Becker’s theory, the first type of main research is about housing prices and housing wealth affect the fertility intention. Dettling and Kearney (2014) indicate that houses as a kind of micro commodities, their own price changes can have income and substitution effects on households' budget constraints. Kauir Atalay et al. (2021) use the Australian housing market with resident households as a sample, it is found that an increase in overall house prices, in turn, has a more pronounced wealth effect, particularly for loan holders. An increase in overall housing values increases households' propensity to have children. Similar research in America also shows that for each $1 increase in housing equity For every $1 increase in housing equity, parents receive an average of 25 - 30 cents in benefits, and it was found that Young parents use these gains to pay for childcare-related expenses (Mian and Sufi, 2009). In contrast, Yi (2008) handle with Hong Kong data and prove that there is a long-term effect of rising house prices on fertility, with each 1% increase in the house price index significantly reducing the total fertility rate by 0.45%. On the other hand, there are also some studies that suggest that the rising house price does have significant differences in fertility intention between the individuals who own a house and those who do not. Like Dettling and Kearney (2014) by using data from 9 metropolitan statistical areas to analyze house price changes and household fertility that short-term increases in house prices lead to lower fertility rates among the unhoused and a net increase in the fertility rate of those who do own a home. Besides, the second one which is most related to fertility intention, is gender role and gender inequality. The relative early discussion about gender inequality is gender preference, most usually, a preference for sons— which is common in many regions of the world. And this phenomenon lead to “the missing women” (Sen, 1990). To research the relationship between the gender preference and fertility intention, Ralentine et al. (2022) draw Southeast Asia and Latin America as an example to find how gender preference adjusts fertility intention. They find that it will finally leads to one boy and one girl in Latin America. Moreover, nowadays researchers provide a variety of measurement of gender inequality. For instance, Anneli et al. (2011) use gender altitude and family life as the measurements of the gender inequality and it draws an inverted U curve between fertility intention and gender inequality, which means both traditional and equal males are willing to have a baby. Similarly, Coke (2003) points out that the willingness of the whole family to have a second child is increased when the father has a strong role in the care of the first child. What’s more, Mary et al. (2018) also provide cross-country qualitative comparative analysis evidence to prove this topic. They select Japan, Spain, America, and Sweden as research objects and use work conditions and family conflict to measure gender inequality. They found that a lack of support for women’s roles will eventually lead to a low fertility intention. It is not unique that a supportive environment for families can be beneficial for women’s fertility intention. If policy can provide a more equal environment for gender roles, women will be willing 10 to have a second child (Soo-Yeon, 2017). The same, a panel study of 21 European countries shows that family policies that favor closing the gender gap in income are positively associated with increased fertility intentions for both first and second children (Tommy and Sunnee, 2014). Thirdly, it combines demographic and socioeconomic characteristics with fertility intention. And it mainly includes age, ethnicity, education, income, regional context, and so on. First of all, from an individual perspective, age always plays a key role in fertility intentions and behaviors, and rising age has a significant dampening effect on fertility intentions (Morgan, 1982) because age represents the objective condition of being able to have children safely. Other studies also support that although women without children suffer much stronger social pressure, they still will decrease their expectations for a baby (Aizen and Kloabs, 2013). Secondly, ethnicity is always considered to play a role in people's willingness to have children, along with social norms, culture, and beliefs (John, 1982). Sarah and Morgan (2007) discuss How religion affects fertility intentions in the United States and it provides a mechanism that religious schemas often incorporate attitudes and values about family-related behavior, which the more devout believers will have higher fertility intention (Edgell, 2003). Then the third part is the most important factor, education, and human capital. In the early literature, education is usually considered to have an inverse relationship with fertility intentions (Bongaarts, 1997). Because early researches believe that highly educated women will prefer children quality rather than the amount of children (Becker and Lewis, 1973). Whether there are national or regional differences in this educational impact is also an area of concern for scholars. For example, Melanie and Harper (2019) 11 the influence of education on fertility intention has significant differences around SubSaharan Africa. Or in Pakistan, Samia and Bashir (2013) think that educational attainment influences women's contraceptive decisions and thus family reproductive decisions. But, in recent years, some empirical researches have challenged this traditional view. Testa (2014) find that there is a positive relationship between education and fertility intention in 27 European countries where the birth rate of the whole society is low. On the meanwhile, high-level of education can guarantee better job prospect, which makes female more confidence to have a baby (Dupray and Pailhé, 2018). Moreover, women who have a high level of education can be able to handle with job strain and family conflict when they want to have a baby (Katia and Melinda, 2010). Fourth, it is the income and job factor. Work and income levels determine a family's stability and ability to raise children. It is traditional to find that household income positively affects both actual and preferred fertility rates (Moav, 2005). However, the positive impact of this income is offset by the level of female education. Besides, employment uncertainty is also a factor that affects fertility intention (Doris et al, 2016). And it offers a variety of pathways that uncertainty influences fertility intention. Such as, Kravadal (2002) indicates that the effect of employment uncertainty on fertility may differ between partners. Often, employment uncertainty generates high opportunity costs in terms of forgone career promotions or salary increases among highly educated populations and therefore results in delayed parenthood and fewer births in this group (Kravadal and Rindfuss, 2008). Fifth, it is regional context and fertility intention. Especially, differences between urban and rural areas are most concerned. Historically, fertility rates have started to decline earlier in cities and more rapidly than in rural areas. Capitals and larger cities usually have lower fertility rates than rural areas (Kulu et al, 12 2007). Early on it was a decomposition study of urban-rural differences. Berahard and Isebella (2019) through the gap among realization and intention discuss how the regional context affects the fertility intention. They found that Delay in childbirth is more pronounced in urban than rural areas due to expectations of employment and promotion. In addition to the three branches of literature mentioned above, there are also a number of new studies that are methodologically innovative and are beginning to introduce experimental approaches to the analysis of fertility intentions. For instance, Maximilian et al (2022) make a field experiment in Kenya to explain how descriptions of future uncertainty affect women's fertility intentions. Compared to existing literature, when previous literature has explored the impact on fertility intentions from an economic perspective, it has mostly been measured in terms of direct income or assets, and wealth. This means that the measure is directly on the individual micro-household. However, as some of the more recent literature also points out, people's fertility behavior, as a planned behavior, is usually also influenced by their own expectations of the future. In turn, families' expectations of the future are usually based on social information. Therefore, the main contribution of this paper is to use the income gap of the population as a research perspective to explore, from a macro social development perspective, how people's fertility intentions would be affected if a society becomes more or less equitable. 2.2 Income Gap 13 The income gap has been a hot topic in academia related to income distribution. As we mentioned above, existing research on income disparities can be divided into measurement and causal analysis categories. The former is mainly based on the discussion and improvement of the measure, while the latter is a study of the causes and effects of income disparity. First of all, it is about the selection of the measurement of the income gap. The study of income disparity indicators has its roots in Ricardo's theory of factor income distribution (Richardo, 1817). Then Pareto (1895) was a pioneer in this field at the micro level using statistical methods. Over a few decades, Gini challenged Pareto’s research, and finally proposed the Gini coefficient (Gini, 1914). The coefficient remains an important indicator of income disparity today. Besides, the Gini coefficient is a grouping of the total population by level of income. It is a measure of income disparity, but not an accurate measure of urban-rural income disparity. Therefore, Thail (1972) extended and presented another index named Generalized Entropy. Moreover, the definition of the Gini coefficient is also expanding and is no longer limited to a discussion of the net income range. Household property, between industries and financial disparities, can all be measured by the Gini coefficient (Molina, 2018). Secondly, it is about the causality research in the income gap area and here this section will mainly review the urban-rural income gap. Since the Gini coefficient was used to measure income distribution inequality in the 1950s, the inverted "U" curve proposed by Kuznets has been the focus of income distribution research. However, the Kuznets curve is, after all, only an empirical theorem and has been constantly questioned by 14 scholars due to the lack of a more rigorous theoretical explanation. In summary, the available research can be stated at followed three branches. The first concerns the relationship between the urban-rural income gap and economic growth. Barro(1991, 1997, 2000) argues that conditional convergence due to diminishing returns to physical and human capital accumulation is negatively correlated with the real output when potential output is constant, and positively correlated with potential output when real output is constant. Income disparity affects the potential output by affecting the factors of production, which in turn affects the rate of economic growth and the level of output per capita. Further Galor and Moav (2004) argue that the accumulation of human capital, which is the main engine of economic growth, replaces the accumulation of physical capital during the transition period of economic development thus changing the impact of income on economic growth. In other words, the accumulation of physical capital is the main source of economic growth in the early stages of economic development or when the economy is at a low level, which means an adequate income gap is good for economic growth. Meanwhile, the income gap widening constraints on increased investment in human capital by those on low incomes when there is a high level of GDP per capita. Whether the income gap is good for economic growth, it is the main point of argument. For example. Alesina and Rodrik (1994) use two stages least square empirical method to inspect the relationship between the urban-rural income gap and economic growth based on the theoretical model, and they find that there is a stable negative relationship between them. It is not the only one, Persson and Tabellini (1994) examine the relationship between urban-rural income disparity and economic growth from the perspective of the mechanism of policy change, 15 arguing that urban-rural income disparity is detrimental to improving labor productivity and, in turn, hurts the economy. Frank (2005) found that income The gap has a significant negative impact on economic growth and there is a long term dynamic equilibrium between the two. In contrast, it is also argued that a widening income gap between rural and urban areas can contribute to economic growth. Such as government expenditure in CES model can motivate economic growth through the income gap (Li and Zou, 1998). Foreb (2008) used panel data and robustness check to find that a widening income gap can be beneficial for economic growth in a short run. In addition, other scholars’ researches have found that the relationship between urban-rural income disparity and economic growth is not invariant. Secondly, it’s about the trend of the income gap. Loewy and Papell (1996) provided an analysis of the stability of regional income disparities in the US and found that three of the eight regions studied showed random walk. Saranties and Stewart (1999) treat twenty OCED countries as examples and calculate their consumption to income ratio, they also found that income gap is not stable. Strazicich et al. (2004) found that during the Second World War, income levels in many countries were randomly unstable, and that each country had significant points of sudden change in relative income. Tunali and Yilanci (2010) test the income per capita from 1950 to 2006, and they indicate that most countries in the Middle East and North Africa Income disparities continue to widen in most countries in the Middle East and North Africa. Thirdly, it’s about the factors that affect the income gap. The mainstream view sees historical legacy and government systems as factors influencing the widening of the 16 urban-rural income gap. For instance, Sicular et.al (2007) consider that the urban-rural dichotomy is an important factor in the widening income gap. Similarly, Jedweb et al. (2017) explain that urban expansion in the developing world has been dramatic with a more serious income gap. There are also some scholars who believe that resource endowment and economic development are the causes of the widening urban-rural income gap. Like Douglass (1998) believe that the uneven distribution of resources and market mechanisms are influencing the widening of the income gap between urban and rural areas. Blanchard and Giavazzi (2003) interpret that in an imperfectly competitive market structure, the urban-rural income gap is influenced by the factor shares between urban and rural areas by constructing a general equilibrium model. Moreover, the creation of a financial structure and the improvement of financial levels are also important influences on the widening of the income gap. It also has two sides with the income gap. On the one hand, the poor can use credit for human capital The poor can invest in human capital through credit, which facilitates the training of vocational skills and the creation of new businesses, and the rapid rise in income of the lower strata of the population, thereby reducing Income inequality (Banerjee and Newman, 1993). On the other hand, When the financial system is inadequate, information asymmetries, and transaction costs. The existence of information asymmetries and transaction costs discourage the poor, who lack collateral, credit history and social connections, from gaining equal access to credit, and the rich have an overwhelming advantage in access to financial resources. The access of the rich to financial resources is overwhelmingly dominant and the problem of income inequality grows (Greenwood and Jovanovic, 1990). Furthermore, educational resources, globalization and other factors are also perspectives for studying income gap. 17 This paper draws on the literature on income inequality mainly in terms of the calculation of an index for measuring inequality, which will be discussed in Section 4. The other aspect is to clarify the impact of income disparity on the economy 2.3 China Context This section presents the main studies on fertility and income disparities in China and analyses the shortcomings of the existing literature and the lessons learned from this paper. Overall, research on fertility intentions in China continues to follow the three main categories described above. First of all, Chinese scholars also focus on gender roles and gender inequality in China. Considering China is characterized by a low fertility intention, a strong preference for sons, as well as a stringent birth control policy, Jiang et.al (2015) select Shaanxi province as the sample and they find that different from Latin America, in China, Women with son preference turn to sex-selective abortion to ensure that their first child is a son, thus reducing the likelihood of a second child and decreasing the fertility rate rather than continuing to have children until there is a boy. There is also an alternative perspective. Guo and Zhou (2020) use Blinder-Oaxaca to decompose the difference on fertility intention between urban and rural female. Liu et.al (2021) create a connection between the Internet usage frequency and women’s fertility. This study showed that the more frequently females use the Internet, the less likely women are willing to have children with controlling other variables. They interpret Internet brings cultural shock to people. Because the more frequently female 18 use the Internet, the more they disagree with traditional Chinese gender roles, where "men work outside the home to support the family while women stay at home to take care of the family". Also, some researches have focused more deeply on the impact of women's family-of-origin experiences on fertility intentions. Manyu Lan (2021) gives a conclusion that the number of siblings in childhood, the level of education of the parents and the stability of the parent’s marriage all influence women's perceptions of marriage and therefore their willingness to have children. Meanwhile, women with better socio-economic status have higher fertility intentions. Though there is some literature studying housing and fertility intention, it is not very much. Song et.al (2017) depressing effect is the dominant effect on the fertility intention when housing price rises in China. Besides, demographic and socioeconomic characteristics in China are also concerned by scholars. For example, elder women in Jiangsu Province tend to give up fertility intentions of having two children (Luo and Mao, 2014). And China is different with foreign countries, there is no ethnicity influence between Han group and non-Han group on fertility intention (Huang et al, 2016). In education aspect, Cui and Zhang (2020) combine women’s education, mental health of pregnancy age women and fertility intention. They found that highly educated women were less likely to develop mental health problems during pregnancy and therefore more willing to have children. Given the vast regional differences in social and economic conditions, fertility intentions may differ across regions in China. Especially, regional inequality in economic development in China is prominent, with marked gaps around different areas. According to recent paper, the per capita fertility intention in the eastern province of Jiangsu is 1.8 children, 19 while the per capita fertility intention in Shaanxi is 1.4 children (Jiang et al, 2016). This significant geographical variation is also a point worth analyzing. On the other hand, China’s income gap problem is around two main perspectives, which are measurement and urban-rural income gap. From 1995 to 2002, Yue et al (2007) measure the income gap and make a decomposing through Blinder-Oaxaca. They find that income gap increase over time, despite consideration of price adjustments. The existing literature mainly analyses income distribution at the national level as a whole, and lacks research on the differences and similarities that exist between different regions. Moreover, in the studies on the factors affecting the urban-rural income gap, there is no shortage of scholars who focus on the factors influencing the urban-rural income gap from a macro perspective. However, there is a lack of analysis of the characteristics of the urban-rural income gap itself. To sum up, with China as the subject of study, we expect to combine income disparity with fertility intentions, it explores whether the level of income inequality in society as a whole affects people's fertility intentions and provides a portrayal of the transmission mechanism. It also further analyses whether there are regional and household micro level differences in this channel of influence in China. 3. Theoretical Model and Mechanism 20 This section will provide a logical analysis and theoretical model of the mechanism that how income gap affects other factors and then influence people’s fertility intention indirectly. Then we will further propose the research hypothesis for this paper. 3.1 Basic Model According to the Becker’s Child Quantity Quality Alternative Model, we suppose that the net cost of raising a baby for the household is positive and the child is a durable good. And there is a relationship between changes in the quality of children and the cost of parenting. Furthermore, assuming that there are no technological advances in the household, the cost minimization is achieved by adjusting the choice of child quality, quantity and other consumption. Then we have the cost function of household in short run: TC TVC( n,q, z ) TFC ( i ) Of which, TC is the total cost in short run, TVC is the total variable cost in short run, and TFC represents the total fixed cost in short run on the meanwhile, n,q,z stand for the children number, children quality and the other consumption respectively. Also the budget constrain of the household can be written as follow: Y nWn qWq zWz ( ii ) Of which, Y is the total income of the household, Wn is the price of children n, Wq means the price of children quality q and Wz represents the price of other consumption. Thus, with a certain budget constraint Y, there is a conflict between the child's choice 21 of quantity and quality. If the quality of children q is higher, then under a budget constraint Y the number of children Wn and the marginal cost MCn are consequently lower for a given budget constraint Y, at which point the household reduces the number of children. Based on the assumption above, we can further speculate that when income gap becomes larger, people will turn for preventive saving, which eventually lead to the reducing of household budgets and family will have less children. 3.2 Mechanism Analysis This subsection will give the further mechanism analysis based on the literature and propose our research hypothesis. First of all, the classical theory tells that the relationship between income inequality and the consumption emphasizes that if the propensity to consume decreases with income, then from the macro level, the rising inequality will reduce the consumption then influence the economic growth. In other words, if the inequality keep rising, the family will turn to save money and smooth their consumption curve. Parenthetically, most studies conclude that income disparity creates a significant disincentive to micro household consumption. For examples, Aguiar and Bils (2011) discover that the consumption inequalities predicted by saving behavior were found to be largely caused by income disparities. Jin et.al (2011) use data from the 1997-2006 China Urban Household Survey, the study found that even after controlling for household income, income disparity still has a negative impact on household education expenditure and has a positive impact on household saving. Likewise, if we think this logic from the household fertility intention area, the larger income inequality means less confidence with household income, which make family to reduce their fertility consumption and have weaker fertility intention. Because 22 parents might be worried about the extra burden and stress of raising a child on the family or the inability to provide a good environment and future for your child. Hence, we propose the first hypothesis of this paper: HP1: The larger income inequality will depress family fertility consumption, and eventually discourage family fertility intention. On the other hand, reference the 3.1 section, it shows that Families trade-off between quantity and quality when making fertility decisions based on budget constraints. Responsible parents who not only want to provide their children with good living and educational conditions now, but who will also continue to invest in the future. Hence, the micro-level sample of households provides factors that vary between households, and our second hypothesis of this paper: HP2: Education and income level differences among households will lead to different response to the income gap impact on the fertility intention. And this hypothesis will be tested in the heterogeneity analysis section. 4. Data and Empirical Model 4.1 Data Resources and Data Processing This section will focus on the data sources used in this paper as well as the measurement of inequality data and the processing of the raw data. 23 (1) Chinese General Social Survey In order to obtain data on fertility intentions, this paper selected the 2010, 2012, 2013, 2015 and 2017 Chinese General Social Surveys (CGSS). Started in 2003, the CGSS is the first national, comprehensive and continuous academic survey project in China. The CGSS systematically and comprehensively collects data from society, communities, households and individuals at multiple levels to summarize trends in social change. Meanwhile, CGSS provide specific personal characteristics, family characteristics and regional information, which is convenient to facilitate the construction of rich and sufficient control variables in this paper. Next it is the data processing for this paper: First of all, to construct the explanatory variable, fertility intention, of this paper, referencing to available literature, we use the number of children expected to have as the key measurement of our independent variable. In particular, this variable is generated from the questionnaire “If there were no policy restrictions, how many children would you like to have?” The ideal situation would take the values of the dummy variables of not wanting children and wanting more than 1 child. However, in practice, as the proportion of the sample that answered “do not want to have a child” was too low. The dummy variable was set to 0 and the label “low fertility intention” was assigned to them. Also, we combine “want to have 2 children” and “want to have 3 or more children” were grouped together and the dummy variable was set to 1, and give the label “high fertility intention”. Secondly, it is the set of a series of control variables. In terms of the selection of control 24 variables, the paper follows the previous literature review section and set control variables in three directions: housing, gender roles, and demographic characteristics. In the housing area, according to “whether you own more than one house”, we generate dummy variable house, which 0 represents “less than one (including one)” and 1 represents “more than two”. Furthermore, taking “whether you own car” into account, set dummy variable Car. 0 means family has no cars or 1 means family has cars. And based on the self-assessment of income levels, we divide the households into two types, one is “Below average”, the other is “above and equal to the average”. Then we use these three variables together to measure the economic characteristics of households. In accordance with the literature section, in order to take into account the impact of the gender equality perspective, through the survey “Do you agree that - men put their careers first and women put their families first”, we can received the equality variable. The last parts of control variables is related to the demographic characteristics. In this regard we take into account, age, gender, political affiliation, Hukou system, ethnicity, religion, education, personal income, health, working hours, and social security. Of which, in terms of age, we took an age-appropriate sample of 17-50 year olds as for robustness check. On the other hand, to identify the education influence, the 13 education levels of the questionnaire were divided into four categories of variables: “never had any education” is assigned the value of 0, then “private school, literacy class”, “primary school” and “junior high school” were combined into “primary education level” and assigned a value of 1 , then “vocational high school”, “general high school”, “secondary school” and “technical school” are combined as “secondary education level” and assigned a value of 2. The “university college (adult higher education)”, “University college (formal higher education)”, “University bachelor's 25 degree (adult higher education)” and “University bachelor's degree (formal higher education)” are combined as “advanced education” and assign a value of 3. Finally, “Postgraduate and above” is assigned a value of 4. The remaining control variables are described below: political affiliation includes “Normal” and “Communist party member”. Hukou system is used to distinguish the rural areas, which 0 means “nonrural” and 1 represents “rural”. The ethnicity dummy variable is set to 1 for Han Chinese and 0 for other ethnicities. The social security dummy variable measures whether people are covered by pension insurance, where 1 means they are covered and 0 means they are not. Working hours and household income are continuous variables, measuring the number of hours worked in a week and total income after tax in a year respectively, and make logarithmisation of two variables. Finally, after collating the above variables and eliminating missing values, matching individual IDs, household IDs with community IDs and combining the samples from 2010, 2013 and 2017 to obtain 3 periods balanced panel data, where the samples from 2012and 2015 would be used for robustness check. Then the final output is the following descriptive statistics table (Table 1) (2) China Urban Statistics Yearbook The dependent variable in this paper, income gap, cannot directly get data from National Bureau of Statistics. Therefore, we need to calculate the Gini coefficient to measure the inequality. According to the definition, if the population is divided into N equal groups, which each group is an equal share of the total and the mean value of the income of the 26 corresponding sub-groups is known yi, then the Gini coefficient is calculated as: G= N N 1 | yi y j | (i ) 2 N 2 i 1 j 1 Of which, G is Gini coefficient, is the expected value of total income of each subgroup, N is the observation samples. But there are some problems with the equation (i) for the reason that the data do not appear in equal groups for a variety of reasons. So based on Thomas et al (2000), they provide a formula for calculating the Gini coefficient for non-equal groups is proposed, and the statistical yearbooks of the various provinces in China again suffer from inconsistencies in income groupings. This non-equivalent grouping is therefore a more appropriate calculation for this paper. Based on the Lorenz Curve, we can have the formula follow: 1 n 1 G= [ 2 ( Pj W j )] n i 1 ( ii) In this formula, The ratio of the cumulative income of the population from group 1 to group i to the total income of the entire population is W, and the cumulative population to total population ratio from group 1 to group i is P. Equation (ii) avoid the difficult problem of equal and unequal groupings, and group people only by their income, if the number of people in each group and their income are known, the Gini coefficient can be calculated. Therefore, this paper calculates the Gini coefficient of population income in Stata based on the surveyed population income data in China Statistical Yearbook in 2010, 2012, 2013, 2015 and 2017, combined with Equation (2). And we output descriptive statistics table as follow (Table 1) 27 Table 1. Descriptive statistics of variables Variable Name Freq. Percent Fertility Intention Variable Type Dummy Variable low fertility intention 2464 23.38 high feritility intention 8075 76.62 Gender Dummy Variable Male 5252 49.83 Female 5287 50.17 Ethnicity Dummy Variable Han 9704 92.08 Other 835 7.92 Religion Belief Dummy variable No religious belief 9457 89.73 Have religious belief 1082 10.27 Education Experience Ordered categorical variables No education 1210 11.49 Primary education 5297 50.30 Secondary education 2060 19.56 28 Advanced education 1848 17.55 Postgraduate 115 1.09 Political Affiliation Dummy variable Normal 8785 83.36 Communist 1754 16.64 Health Status Dummy variable Health 6183 58.69 Not health 4352 41.31 Hukou System Dummy variable Non-rural 5267 49.98 Rural 5272 50.02 Gender Role Dummy variable Inequality 4346 41.32 Equality 6173 58.68 Income Level Dummy variable Below average 4145 39.33 Above and equal to 6394 60.67 average 29 House Dummy variable Less than one (include 8962 85.04 1577 14.96 one) More than one Family Assets Dummy variable No car 8497 80.7 With car 2032 19.3 Variable Obs Mean Std.Dev. Min Max age 10539 49.381 15.702 17 101 Working hours 9057 32.737 28.348 0 168 Family income 10539 69122.12 211000 0 9930000 Gini 10561 0.3 0.1 0.078 .544 4.2 Empirical Model To test the relation between the income gap and people’s fertility intention, we set empirical model as followed: Fertilityi ,t 0 1 ln( Ginii ,s ,t ) 2 householdi ,t eco 3equalityi ,t 4 Demographici ,t i ,t Fertilityi ,t represents the fertility intention of sample i in the t time. ln( Ginii ,s ,t ) is the 30 logarithmic form of the Gini coefficient for the province s in which the sample is located, and the logarithmic form can explain the impact of percentage change in Gini coefficient on fertility intention of the population. householdi ,t eco , equaltiy i,t , and Demographici ,t are the series of control variable described in 4.1 section. Of which, householdi ,t eco includes housing, Car, and income level. equaltiyi ,t includes gender equality and Demographici ,t contains age, gender, political affiliation, Hukou system, ethnicity, religion, education, family income, health, working hours, and social security. i ,t is the error term. In addition, Fertilityi ,t is the dummy variable, thus we will use probit model and logit model to estimate the econometric function. 1 is the core problem of this paper, and it reflects how the variation of income gap affect the fertility intention. 5. Econometric Result and Analysis 5.1Baseline Regression Result Fertilityi ,t is dummy variable, so probit and logit are the main estimate methods. But, Ai, Norton, and Berry (2010) point out that the significance of the coefficients of the interaction terms in the non-linear model is neither a sufficient nor a necessary condition for the interaction between variables. In contrast, the interpretation of the coefficients of the interaction terms in the linear model is intuitive. Thus, here we test 31 and compare the linear probability model, logit model and probit model, and to find whether differences. The regression equations are estimated separately and the results display in Table 2 below. (1) (2) (3) LPM logit probit VARIABLES fertility fertility fertility lnGini -0.127*** -0.756*** -0.442*** (0.016) (0.097) (0.057) -0.002 -0.014 -0.009 (0.009) (0.054) (0.031) 0.005*** 0.031*** 0.018*** (0.000) (0.002) (0.001) 0.011 0.096 0.055 (0.016) (0.107) (0.060) 0.042*** 0.288*** 0.152*** (0.014) (0.097) (0.055) 0.008 0.055 0.030 (0.007) (0.039) (0.023) 0.046*** 0.260*** 0.151*** (0.013) (0.077) (0.044) 0.005 0.025 0.018 (0.010) (0.058) (0.034) Gender Age Ethnicity Religion Education Political affiliation Health 32 Hukou 0.130*** 0.754*** 0.441*** (0.012) (0.065) (0.038) 0.053*** 0.297*** 0.176*** (0.010) (0.055) (0.032) 0.000 0.001 0.001 (0.000) (0.001) (0.001) 0.013 0.075 0.047 (0.010) (0.059) (0.034) 0.015*** 0.087*** 0.049** (0.005) (0.033) (0.019) 0.024** 0.142** 0.085** (0.010) (0.057) (0.033) 0.025* 0.142* 0.080* (0.013) (0.073) (0.043) 0.020 0.121 0.076* (0.013) (0.076) (0.044) 0.030 -3.023*** -1.729*** (0.071) (0.436) (0.254) Observations 8,868 8,868 8,868 R-squared 0.067 Gender equality Working Pensions Family income Income level Car House Constant Table 2. Baseline Regression Result Robust standard errors in parentheses *** p<0.01, ** p<0.05, * p<0.1 33 Before explaining the coefficient of each regression, we will test the model setting first. To test if the logit model and probit model are set up correctly, in this paper, we compare the logit and probit under ordinary standard error and robust standard error, respectively. And it shows that the ordinary standard error and robust standard error are very close, which indicates that there is no need to worry about the setting problems. Secondly, we will compare the percent correctly predict (PCP) between the logit model and probit model. In Stata we can get the PCP is 75.9% in probit model and 74.7% in logit model, both two are very similar. Overall there is no significant difference among these two models, and they are equivalent. Then we can move forward focusing coefficient. Here we explain the column (2) and column (3) at first. As we mention above, coefficients in logit and probit are only significant in terms of changes in direction, not in terms of specific changes in quantity. Hence, Table2 shows that both in probit and logit model, there is a negative relation between the increase in the Gini coefficient and fertility intentions and they are both significant at 1% confidence level. In other words, the larger income gap will depress people’s fertility intention. Except for the core variable, the rest of control variables are also interesting, though some of them might not significant. Firstly, in this regression analysis, there is no apparent difference in gender aspect, which means both females and males suffered the impact when the income gap in society becomes wider. Secondly, unlike foreign samples, in China, the older the family, the higher the willingness to have children. One of possible explanation is aging issue. Due to the measurement about fertility intention, the focus is on willingness rather than 34 ability. Moreover, in China, lots of family trust they raise the children for their old age in advanced. As a result, the elder Chinese families are, the more they want to have more children to solve their retirement problems. Thirdly, likewise Huang et al (2016), there is no ethnicity affect between Han group and non-Han group. Nevertheless religious belief and political affiliation show significant. It means having religious beliefs or being a member of the Communist Party increases people's willingness to have children. This is relatively easy to understand: Party members need to be more proactive in responding to policies. Other demographic control variables like health and Hukou also display positive relation, which means healthy people have higher fertility intentions and non-rural household have higher fertility intention. Non-farm households have a better level of economic income than rural households and therefore have a higher propensity to have children. In the gender equality aspect, the coefficient shows that a more equal gender perspective will increase people's willingness to have children. As for the household economic characteristics variables, these variables all prove that higher overall household economic levels correspond to higher fertility intentions. In addition to the control variable listed above, there are also some control variables show result beyond our expectation. For instance, working measures the weekly working hours is not significant in the table 1, which is contradicted with previous finding (Katia and Melinda, 2010). The traditional view is that longer working hours mean higher work stress, which may reduce people's willingness to have children. But, on the one hand the previous literature measured this on an individual basis, and on the other hand, in terms of family structure, most Chinese families still maintain a division of labor where the man is responsible for work and the woman is the housewife. This means that due to the division of labor in the household, the pressure of working hours is 35 shared, which is the reason that the control variable of working hours is not significant in this paper. Likewise the pensions variable gives similar result. Some literatures believe that better social security, such as health insurance and pension insurance, can help reduce financial stress and make people more willing to have children. However, this conclusion seems like that it is not suitable. That might because pension insurance itself is a current investment to protect the future, and the purchase of pension insurance will, to a certain extent, reduce the household's current budgetary constraints and thus influence fertility decisions. Finally, although education variable is not significant in the Table1, we will not discuss the education until the heterogeneity section. To further research the impact of specific changes in the degree of income disparity on fertility intentions and compare with the LPM , we output the average marginal effects of the logit and probit models as below Table3. (1) (2) VARIABLES Logit margins Probit margins lnGini -0.131*** -0.133*** (0.0167) (0.0170) -0.00240 -0.00270 (0.00934) (0.00943) 0.00530*** 0.00541*** (0.000386) (0.000391) 0.0162 0.0162 Gender Age Ethnicity 36 Religion Education Political Health Hukou Equality Working Pensions Family income Income level Car House (0.0176) (0.0175) 0.0466*** 0.0435*** (0.0146) (0.0148) 0.00949 0.00909 (0.00680) (0.00693) 0.0428*** 0.0436*** (0.0120) (0.0123) 0.00432 0.00543 (0.0101) (0.0102) 0.131*** 0.132*** (0.0113) (0.0114) 0.0521*** 0.0534*** (0.00973) (0.00980) 0.000249 0.000262 (0.000181) (0.000182) 0.0130 0.0143 (0.0103) (0.0104) 0.0150*** 0.0146** (0.00565) (0.00569) 0.0247** 0.0257** (0.00996) (0.0101) 0.0239** 0.0236* (0.0120) (0.0123) 0.0205 0.0224* 37 Observations (0.0125) (0.0127) 8,868 8,868 Table 3.Average Marginal Effect Robust standard errors in parentheses *** p<0.01, ** p<0.05, * p<0.1 A comparison of the results in Table 3 with the results of the LPM estimates in column 1 of Table 1 shows that, the coefficient of the core variable, Gini reports similar values like -0.127,-0.131 and -0.133 in three models. Hence, we can explain such value in a more detailed way: in these three models, with the income gap 1% higher, there are 12.7%, 13.1% and 13.3% probability that people will decrease their fertility willingness. Likewise, control variables can also be stated as followed: compared with normal people, the party member will have 4.28% higher fertility intention. In addition, people with non-rural Hukou also have 13.1% higher than people with rural Hukou. And those with a more equal gender perspective also show a 5.21% higher willingness to have children compared with those have inequality gender view. Overall, comparison of the coefficients of LPM, logit and probit shows that in terms of estimation effectiveness, there is no significant difference between these three estimation methods in this article, and they all yielding consistent conclusions that: (1) Increasing income gap shows a negative relationship with fertility intentions (2) For every 1% increase in the Gini coefficient, the fertility intention will decrease 13% approximately. (3) In terms of control variables, it shows a unique variation based on Chinese reality 38 5.2Panel Data estimate analysis The estimation of the panel data all base on the different assumption of the i ,t . The basic idea is as followed: First, consider whether there is individual effect, if not, we will apply the pool regression. If there is individual effect, we can handle it with the randomize effect model and fixed effect model. And to ensure the accurate model selection, we estimated the fixed effects model and the random effects model separately and performed the Hausman test on both and report them in Table 4 below (1) (2) Fixed Effect Randomize Effect VARIABLES fertility fertility lnGini -0.932*** -0.780*** (0.134) (0.102) -0.035 -0.013 (0.073) (0.055) 0.034*** 0.031*** (0.003) (0.002) 0.033 0.095 (0.140) (0.109) 0.174 0.291*** Gender Age Ethnicity Religion 39 Education Political Health Hukou Gender equality working Pensions Family income Income level Car House Constant (0.125) (0.097) 0.061 0.055 (0.054) (0.041) 0.187* 0.269*** (0.102) (0.077) 0.037 0.024 (0.081) (0.060) 0.750*** 0.769*** (0.089) (0.068) 0.340*** 0.305*** (0.073) (0.056) 0.001 0.001 (0.001) (0.001) 0.068 0.077 (0.080) (0.061) 0.056 0.075** (0.045) (0.034) 0.113 0.147** (0.078) (0.059) 0.202** 0.147** (0.096) (0.073) 0.108 0.124 (0.106) (0.078) -2.958*** 40 (0.453) Observations 4,191 8,868 Number of id 1,575 3,510 Table 4. Fix Effect Model and Randomize Effect Model Standard errors in parentheses *** p<0.01, ** p<0.05, * p<0.1 According to the result of Hausman test in Stata, it believes that the estimated coefficients are significantly different between the two models, so the fixed effects model is the better choice to eliminate the effect of individual effects. Moreover, we look back at table4 column (1) the coefficient of the Gini is still significant at 1% confidence level and also perform same negative relation with the fertility intention. Similarly, to further observe the effect of income disparity on fertility intention after excluding individual effects, this paper reports the average marginal effect under fixed effects. (Table 5) (1) VARIABLES Fixed Effect margins lnGini -0.013* (0.0068) Observations 4191 Table 5. Average Marginal Effect of Fixed Effect Model 41 Standard errors in parentheses *** p<0.01, ** p<0.05, * p<0.1 After sample censoring, with the removal of individual effects, table 5 shows that the average marginal effect in the benchmark regression may be overestimated. In the fixed effects model, the relationship between income disparity and fertility intentions can be explained as follows: a 10% increase in the Gini coefficient would result in a 13% drop in fertility intentions. 6. Robustness Test and Heterogeneity Analysis 6.1 Robustness Test This section begins with a series of robustness tests on the analysis above. First of all, following the description in section 4.1, the 2012 and 2015 samples are recombined in this paper as the regression samples for the robustness test. The sample from 2012-2015 was used as a time subsample to test whether the relationship between income disparity and fertility intention was consistent with the previous findings. Again, as mentioned in section 4.1, age is an important influence on fertility intentions, and thus whether the effect of income gap on fertility intentions is as described in the previous section is the second direction of the robustness test when faced with different age groups. So here we select 18 years old to 50 years old, which are suitable ages for having a baby, as the robustness tests for age subsamples. Furthermore, given the gender division of labor and cultural environment in China, women are under the double pressure of working for a salary and having offspring. We therefore need to identify whether the effect on women is misallocated to men in the overall sample estimates. As a result, we apply 42 gender subsamples as the third way to make the robustness test. Separate regression estimates for the time subsample, the age subsample and the gender subsample were used as robustness tests for this paper. And we uniformed use logit model to estimate the result, then output Table6 as the robustness result. (1) (2) (3) (4) Time Age Gender Gender 2012-2015 18-50 Male Female VARIABLES fertility fertility fertility fertility lnGini -0.656*** -0.445* -0.739** -0.483* (0.214) (0.232) (0.294) (0.319) 0.094 0.068 (0.095) (0.106) Gender Age 0.024*** (0.004) Ethnicity Religion Education Political 0.027 0.016 -0.365 0.498* (0.176) (0.197) (0.233) (0.287) 0.400** 0.348* 0.405* 0.375 (0.172) (0.193) (0.234) (0.256) 0.079 -0.056 0.022 -0.124 (0.070) (0.077) (0.093) (0.100) -0.156 -0.124 0.019 -0.297 43 Health Hukou Gender equality Working Pensions Family income Income level Car House Constant Observations (0.132) (0.153) (0.165) (0.230) 0.051 0.117 0.059 0.317* (0.105) (0.120) (0.135) (0.162) 0.825*** 0.596*** 0.930*** 0.554*** (0.112) (0.125) (0.148) (0.178) 0.359*** 0.446*** 0.465*** 0.185 (0.095) (0.107) (0.124) (0.151) -0.002 -0.002 -0.002 -0.007* (0.002) (0.003) (0.003) (0.004) 0.240** 0.195* 0.224* 0.526*** (0.102) (0.111) (0.135) (0.149) 0.053 0.077 -0.069 0.087 (0.062) (0.078) (0.085) (0.090) 0.018 0.052 0.155 -0.150 (0.102) (0.115) (0.135) (0.156) -0.011 0.070 -0.129 0.116 (0.132) (0.143) (0.175) (0.207) 0.200 0.225 0.179 0.308 (0.133) (0.148) (0.172) (0.214) -2.017** -0.805 0.092 -0.371 (0.828) (0.948) (1.064) (1.124) 3,444 2,353 1,969 1,475 Table 6.Sub-sample robustness tests 44 Robust standard errors in parentheses *** p<0.01, ** p<0.05, * p<0.1 From the table 6 above, we can discover that the Gini coefficient is significant among the robustness test in general. In all three subsamples, they all indicate that the larger income gap will lead to the decreasing of the fertility intention. Likewise, we also calculate the average marginal effect of each subsamples group and list as table 7 below. (1) (2) (3) (4) VARIABLES 2012-2015 Age(18-50) Male Female lnGini -0.092* -0.072* -0.103* -0.068 (0.030) (0.037) (0.041) (0.041) 3444 2353 1969 1475 Observations Table 7.AME of subsamples Robust standard errors in parentheses *** p<0.01, ** p<0.05, * p<0.1 From the table 7, we can learn that the overall estimate is worse than the baseline regression results, but this is due to the decline in sample size versus classification. Moreover, the marginal effect of income gap shows that in the column (1) 1% change in the Gini coefficient will result in 9.2% decreasing probability in having children. Then in the column (2) the fluctuations in the income gap will lead to the 7.2% decreasing in the fertility intention among the 18 years old to 50 years old group. In the average marginal effect level, the robustness check also give a strong proof that the 45 widen income gap can depress the fertility intention of the population though it might have some specific values differences. However, tests on the gender subsample showed different results. Compared with the column (3) and column (4), the results of this paper show that the impact of the widening income gap is greater for men than for women. This is not quite the same as the results of some studies with foreign samples. In studies that have been conducted in foreign countries, gender-specific surveys have shown that changes in some independent variables (like housing price, working conditions) should have a greater impact on women than on men. Because women are the mainstay of childbirth. But, in the table7, males perform a stronger depressing effects compared with females. This might be explained as followed: In China, it is difficult for women to combine childbirth and work at the same time. As a result, when women want to have children or plan to have children, they move away from work to a certain extent or become housewives. The increase in the income gap therefore has less impact on women than on men who are still working. To sum up, the above tests all indicate that the basic conclusions of this paper are robust to different subsamples. 6.2 Heterogeneity Analysis Based on the following considerations, this paper will develop a heterogeneity analysis. First of all, the preceding analysis is based on an overall sample with a national perspective. However, as we know, the influence might be limited or different through the regions. Also the level of development of different regions affects their response to changes in income disparity. Secondly, there are many micro-level differences between 46 households. These differences can be shown as human capital levels and income levels. These family-level heterogeneities are also the focus of this paper, and a detailed exploration of such heterogeneities and family responses will also help to inform more targeted policy proposals. 6.2.1 Spatial heterogeneity analysis Based on the unbalanced reality of China's regional development, we break through the constraints of the "smooth economy" perspective of modern economics, and start from the "block economy" perspective advocated by spatial economy, and from the perspective of "block economy", i.e. agglomeration economy, as advocated by spatial economics. This paper seeks to further identify the spatial characteristics of changes in fertility intentions under the influence of income gap. Therefore, according to geographic characteristics, we divided the samples into eastern samples, midland samples and western samples. Then we use logit model to estimate the coefficient and the result are shown as table below (Table 8). (1) (2) (3) east mid west VARIABLES fertility fertility fertility lnGini -0.728*** -1.184*** -0.621* (0.183) (0.195) (0.343) -0.000 -0.042 -0.200 Gender 47 Age Ethnicity Religion Education Political Health Hukou Gender equality Working Pensions Family income Income level (0.079) (0.105) (0.150) 0.028*** 0.033*** 0.031*** (0.003) (0.004) (0.007) 0.340 0.523* 0.105 (0.270) (0.298) (0.206) 0.396*** 0.106 0.219 (0.148) (0.193) (0.263) 0.068 0.095 0.012 (0.056) (0.077) (0.110) 0.278*** -0.001 0.222 (0.103) (0.141) (0.217) -0.054 -0.088 0.278* (0.087) (0.108) (0.160) 0.975*** 0.741*** 0.881*** (0.112) (0.128) (0.182) 0.193** 0.180* 0.597*** (0.079) (0.108) (0.150) 0.001 0.003 0.002 (0.002) (0.002) (0.003) -0.125 -0.095 0.155 (0.100) (0.124) (0.150) 0.035 0.068 0.179** (0.052) (0.067) (0.087) 0.122 0.160 0.199 48 Car House Constant Observations (0.084) (0.109) (0.156) 0.134 0.028 0.339 (0.092) (0.154) (0.257) -0.007 -0.008 0.327 (0.101) (0.138) (0.251) -2.060*** -3.264*** -3.891*** (0.688) (0.892) (1.197) 3,708 2,567 1,551 Table 8.Differences in fertility intentions under spatial heterogeneity Robust standard errors in parentheses *** p<0.01, ** p<0.05, * p<0.1 From the table8 we can learn that whatever in each region, it always obey the basic relation that there is a negative effect on fertility intention with the larger income gap. And the coefficient of income gap all perform significant in general. Hence, we provide average marginal effect of logit model to study the differences in detailed and the marginal effect display in table9. VARIABLES lnGini (1) (2) (3) East Midland West -0.140*** -0.183*** -0.076* (0.0352) (0.0308) (0.042) 49 Observations 3,708 2567 1551 Table 9.Average Marginal Effect of different regions Robust standard errors in parentheses *** p<0.01, ** p<0.05, * p<0.1 Through table9, we can find that there are obvious regional differences. For example, the midland area shows highest reaction, which 1% change in Gini coefficient can result in 18.3% depressing fertility intention. On the meanwhile, the western area is the least reaction area. Eastern area is similar to the national average level (13%). This phenomenon is undoubtedly related to the differences in the level of economic development of the various regions. The two main reasons for this regional variation are the following: economic development and population movements. For these two reasons, we focus first on the Western region. Firstly, the overall level of development in the western region lags behind that of the eastern and midland regions, which means that the impact of the widening income gap in the western region is not all negative, in other words, the impact of the widening income gap in the west is less than that of the eastern and midland regions (referring to the Kuznets Hypothesis). Next, what comes with poor economic development is population loss. In order to make a living, the population of the West will move more towards the East and midland regions where the economic level is better, and middle aged and elder people are left. For these kinds of people, they prefer offspring rather than earing more money. And this is consistent with finding in 5.1 section. Then it’s easy to understand eastern and midland region. These two regions 50 have higher depressing effect first for the reason that better economic development level. Larger income gap will give people more pressure and they will be more possible to give up having a baby. Likewise, the depressing effect is particularly pronounced in the eastern and midland regions, which have a high in-migration population and where young new arrivals have no savings or assets to cope with the impact of the widening income gap. 6.2.2Family heterogeneity analysis This sub-section will discuss how households handle with changes in income gap from the perspective of household heterogeneity, both in terms of the level of human capital and the level of household income (1) Heterogeneity in the level of human capital Following the education variables in the previous section, household heads were divided into sub-samples at different levels of human capital and their responses to changes in income disparity were explored separately. And the estimate result of four levels of education samples display as followed table 10. (1) (2) (3) (4) No education primary secondary advance VARIABLES fertility fertility fertility fertility lnGini 0.085 -0.938*** -0.685*** -0.854*** 51 Constant Observations (0.431) (0.149) (0.187) (0.202) -1.451 -3.148*** -2.985*** -4.637*** (1.553) (0.632) (0.972) (1.035) 919 4,434 1,749 1,775 Table 10.Differences in fertility intentions by education level Robust standard errors in parentheses *** p<0.01, ** p<0.05, * p<0.1 Compared with other three levels of the education, the column (1) in table 10 shows apparently different. Only sample with no education experience provide a positive relation between income gap and negative relationship at all other education levels. Then further report the average marginal effects of each education levels in table 11. VARIABLES lnGini Observations (1) (2) (3) (4) No education Primary Secondary Advanced 0.079* -0.136*** -0.143*** -0.176*** (0.0352) (0.023) (0.039) (0.041) 919 4434 1749 1775 Table 11.Average Marginal Effect of Education Robust standard errors in parentheses *** p<0.01, ** p<0.05, * p<0.1 From the column (1) in the table 11, people with no education seem like getting stuck 52 in a wired circle: The worse their living are, the more willing they are to have children. Fortunately, this is just a minority and with the rising of the education level, the depressing effect of the income gap shows more serious. It might be explained as: Families invest in human capital for better income levels instead of having more children. Meanwhile, higher education level means later entry into labor market, which implies less working experience and less saving. Therefore, they have no ability to response to the income gap changes. Furthermore, another possible explanation is that the low level of human capital makes it difficult for women to bear the cost of raising two or more children. Women with primary education are more likely to appreciate the importance of human capital, i.e. the quality of their children, and invest more in their children's education, thus discouraging them from having children. And this might explain why depressing effect is more significant among the higher education level groups. (2) Heterogeneity of income levels In section 5.1, we already know that Families with better economic status also have higher fertility intentions. But what is the response of households to changes in income disparity at different income levels? Hence we make heterogeneity analysis here. The household sample was divided into below average, and above average (including average). Then report the logit estimation result and average marginal effects as followed. (1) (2) (3) (4) Below Above Below Above 53 VARIABLES fertility fertility AME AME lnGini -0.791*** -0.740*** -0.147*** -0.103*** (0.157) (0.124) (0.026) (0.020) 3,476 5,392 3476 5392 Observations Table 12. Logit estimation and AME of income level Robust standard errors in parentheses *** p<0.01, ** p<0.05, * p<0.1 According to the column (1) and column (2) in table 12, we can easily discover that income gap still shows a negative impact on fertility intention although we make a distinction on income level. It seems like that regardless of income level, they will receive the negative impact of the widening income gap. However, do households at lower and higher income levels receive the same impact when faced with shocks? Absolutely not. Column (3) and column (4) provides detailed marginal effect on two different income levels. It shows that for the family belongs to low income level, the 1% change in income gap can make them reduce 14.7% probability on having children. On the contrast, this effect is only 10.3% decreasing for the family with higher income level. Actually, this kind of impact is quite similar to the “Housing wealth effect” (Dettling and Kearney, 2014), which means Households with multiple properties are better able to cope with rising house prices. Likewise, this difference can be explained as followed: compared with low income level household, richer family income level have more preserved assets and being able to offset some of the impact of the widening income gap because they are already above the average income level. In contrast, 54 households at lower income levels are left with heavier pressures and costs of living as the income gap widens, with the lacking of the effective means of spreading the risk. Meanwhile, regression above also indicate that the continued widening of the income gap is not a good thing for the whole society, no matter what level of income a household has. 7. Conclusion and Policy Suggestion This paper uses the data of Chinese General Social Survey from 2010 to 2017 to study the impact of changes in income gap on the fertility intention, and discuss the endogenous problem through the fixed effect model. Furthermore, by the three subsamples, we also make the robustness test to ensure the regression result is stable and consistent. Finally, this paper provide heterogeneity analysis of spatial and household dimension. Through the above analysis, we have following key findings: (1) Increasing income gap shows a negative relationship with fertility intentions, and for every 1% increase in the Gini coefficient, the fertility intention will decrease 13% approximately. Meanwhile, some control variables like age show a unique variation based on Chinese reality. (2)In term of spatial level, it reflects the impact of income gap changes has clear difference among eastern, midland and western region. And the possible reason might be economic development and population movements. (3) Heterogeneity analysis at the family level indicates that rising education level does 55 help to break the wired circle that the worse their living are, the more willing they are to have children. However, education levels do not directly handle with the effects of changes in income disparities. Moreover, although a widening income gap is a bad thing for society, families with higher income levels are better able to response with the shock of the income gap on fertility intentions. Based on the above findings, this paper makes the following policy suggestions: (1) Improve redistributive income policies and strive to ensure that income disparities are in a reasonable range. Reduce the negative impact on the policy of encouraging childbirth due to the widening of the income gap. (2) Balanced regional development to reduce the gap between the economic development levels in the East, Middle and West. At the same time, helping the western region to solve the problem of net population outflow As a concluding remark, this paper also has some disadvantages: First of all, for the measurement of income gap, this paper mainly uses the Gini coefficient to measure the income inequality. However there are many other ways to measure inequality, and whether the conclusions of this paper still hold under other measures is a direction that can be remedied in the future. Meanwhile, the paper lacks analysis of urban-rural differences, in particular the question of whether the impact of changes in the urbanrural income gap is consistent for urban and rural samples. Finally, on the endogenous problem, the instrumental variables approach to are not better explored due to data and methodological limitations. 56 Reference AGUIAR, M. & BILS, M. 2015. Has Consumption Inequality Mirrored Income Inequality? The American economic review, 105, 2725-2756. AIZEN, I. & KLOBAS, J. 2013. 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