The current issue and full text archive of this journal is available on Emerald Insight at: www.emeraldinsight.com/1756-137X.htm CAER 12,1 108 The effects of social capital on farmers’ wellbeing in China’s undeveloped poverty-stricken areas Xiaoqiang Ma Received 22 June 2016 Revised 27 September 2017 8 June 2018 29 October 2018 Accepted 22 April 2019 Northwest University, Xi’an, China Jiaqi Wang Northwest Institute of Mechanical and Electrical Engineering, Xianyang, China, and Ling Zhao and Jinmian Han Northwest University, Xi’an, China Abstract Purpose – The purpose of this paper is to investigate empirically the effects of different dimensions of social capital on the well-being of farmers in China’s undeveloped poverty-stricken areas, and study the equivalent multiple of social capital and income compensation. Design/methodology/approach – The paper opted for an exploratory study using the open-ended approach of grounded theory, including 1,176 interviews with rural households in poverty-stricken areas in China. The data were complemented by documentary analysis. Then an econometric model of social capital and farmers’ well-being was applied to the data. Findings – The results show that the number frequently visiting relatives, reciprocity, participation and trust level are significantly positively related to the well-being of the farmers, and the level of participation in social capital requires the most income compensation, while the level of trust comes second. Originality/value – This paper can serve as a template for developing a useful tool that can be fitted to national or regional data for studying the effects of social capital on the well-being of farmers in poor areas or countries and for calculating the concrete equivalent multiple of social capital and income compensation. Keywords Social capital, Equivalent multiple, Farmers’ well-being, Undeveloped poverty-stricken areas Paper type Research paper China Agricultural Economic Review Vol. 12 No. 1, 2020 pp. 108-121 © Emerald Publishing Limited 1756-137X DOI 10.1108/CAER-06-2016-0087 1. Introduction With today’s rapid in economic development, economic outcomes cannot be explained fully by traditional factors of production such as labor, land, physical capital and entrepreneurship. More and more attention has been given to “social capital” in explaining the well-being of the household and the nation. Since reform and opening-up, China’s rural economy has developed rapidly. In China, a number of factors have brought real benefits to farmers, namely the implementation of the household contract responsibility system along with various kinds of favorable policies to farmers, the progress of the new rural cooperative medical system, the establishment of the rural subsistence security system as well as social special care, the construction of rural public utilities and the cancellation of agricultural taxes. As a consequence, farmers’ well-being has obviously improved. However, there are some problems which restrict the process of rural development, such as limitations on the increase of farmers’ income, a continued large income disparity, less choice of financial instruments and low efficiency of the rural credit market. Obstacles restricting the further improvement of farmers’ well-being still exist. This paper is funded by National Social Science Foundation Project (13CJY077), Shaanxi Provincial Social Science Project (2018D09), Shaanxi Social Science Research Base Key Project (15JZ068), Shaanxi Provincial Department of Education Project (18JK0762) and Social Science Prosperous Project of Northwest University. The above problems have been studied from different perspectives, with fruitful results. In studies on improving household well-being, “capital” has been paid great attention. But early studies on household well-being have been mainly from the perspective of human capital, physical capital, natural capital and other traditional capital. Since the 1980s, the concept of social capital has been put forward (Bourdieu, 1983; Coleman, 1990), which provides a new perspective for the research on household wellbeing. Like physical capital and human capital, social capital is also foundational for people engaged in economic activities, and for gaining welfare. It can increase people’s welfare level, especially in undeveloped poverty-stricken areas where physical capital and human capital are relatively low. The most significant difference between social capital and traditional capital is that social capital is a kind of informal institution, and is a kind of resource which people acquire and use in social action and which is embedded in the social network (Lin, 2001). Correlation studies of social capital and economic well-being can be divided into three levels: national and regional level; community and village level; and household level. At present, most studies have focused on the national and regional levels, such as Tanzania (Narayan and Pritchett, 1997), Indonesia (Grootaert, 1999), South Africa ( John et al., 2000), Burkina Faso (Grootaert et al., 2002) and Bolivia (Grootaert and Narayan, 2004). In China, only a handful of literature (Huang and Lin, 2010; Ye and Luo, 2011) has addressed the effect of social capital on people’s income at the community and village levels. However, research on the correlation between social capital and farmers’ household well-being is even more deficient. At the beginning of the twenty-first century, as the goal of China’s Rural Poverty Alleviation and Development Program (2011–2020) was reached, the distribution of China’s population of absolute poverty was concentrated in the ethnic communities, remote mountainous areas, provincial border areas and old revolutionary base areas. These areas are called “undeveloped poverty-stricken areas with special difficulties,” hereinafter referred to as undeveloped poverty-stricken areas. To adapt to this change in China’s poverty pattern, in 2011, China’s Rural Poverty Alleviation and Development Program (2011–2020) addressed 14 undeveloped poverty-stricken areas, which were considered the crucial battlefield of China’s new stage poverty alleviation. Ding (2014) and Liu et al. (2014) studied the poverty measurement and alleviation in these areas. From this background, the present paper uses the 2015 farmers’ household field survey data of Qinba, LiuPanShan, Lv-liang Mountains and the Yanshan – Taihang Mountains, and investigates empirically the effect of farmers’ social capital on household economic well-being. It also discusses how to increase farmers’ household social capital in order to improve the performance of the poverty alleviation policy. This paper can provide a new direction for improving the farmers’ wellbeing in China’s undeveloped poverty- stricken areas. 2. Literature review 2.1 Social capital and its mechanism in affecting household welfare In the past two decades, social capital has emerged as one of the most salient and controversial concepts in social science studies. Different scholars have tried to identify social capital from different perspectives and approaches. Through its development, this concept has been widely used in the fields of economics, political science, management, science and other disciplines, but such far a common definition has yet to be agreed upon. Until the late 1980s and early 1990s, Bourdieu’s (1986), Coleman’s (1988) and Putnam’s et al. (1993) studies had become the starting point of social capital research discussion. Bourdieu (1986) distinguished between three forms of capital: economic capital, cultural Effects of social capital on farmers’ wellbeing 109 CAER 12,1 110 capital and social capital. He defines social capital as “the aggregate of the actual or potential resources which are linked to possession of a durable network of more or less institutionalized relationships of mutual acquaintance and recognition.” Fukuyama (2000) explained it as “shared norms or values that promote social cooperation, instantiated in actual social relationships,” and posits that social capital is based on trust. Lin (2001) considered social capital as the expected returns of social relations in the marketplace. In accordance with the above research, this paper defines social capital as a kind of social resource which exists in social networks in the form of capital, through the accumulation of the owner, and which can bring convenience and benefits. As a special kind of capital, social capital, compared with human capital and physical capital, has the characteristic of incomplete substitution, is self-value-added and not transferable, and is consisted as public goods and has externalities. Social capital is helpful for people to achieve a certain goal, and to improve both themselves and the surrounding environment. Creating and accumulating social capital contributes to the improvement of people’s well-being. Scholars use various indicators to measure social capital. Narayan and Pritchett (1997) measured three dimensions of social capital: first, their membership in groups; second, the characteristics of those groups in which the households were members; and third, the individual’s values and attitudes, particularly their definition and expressed levels of trust in various groups and their perception of social cohesion. Grootaert (1999) used six measurement indicators: density of membership (measured by the number of memberships per household), heterogeneity index (rated according to eight criteria), meeting attendance (measured by average number times over a three-month period someone from the household attend group meetings), active participation index (through questionnaires subjectively evaluate this index), membership dues (willing to pay membership dues) and community orientation (whether they perceive the association of which they are members to have been imitated by the community). Grootaert et al. (2002) used seven measurement indicators. The first six are almost the same as those Grootaert (1999) used. They added one more indicator, which is mode of organization (measured by formally or informally organized). Grootaert and Narayan (2004) also used the first six measurement indicators. Yusuf (2008) argued that the social capital includes density of membership, heterogeneity index, meeting attendance index, cash contribution, labor contribution and decision making index. We can see that some of the indicators are the same as those Grootaert and Narayan (2004) once used. Portela et al. (2013) used trust, networks and norms to capture social capital and proposed different measurement indicators. The mechanism by which capital affects household economic welfare can be divided into two categories: direct effect and indirect effect. For the direct effect, in the new classical economics, social capital can be considered as a dimension of welfare, and the accumulation of the social capital itself can improve welfare. In addition, social capital not only promotes the accumulation of human capital of teenagers (Coleman, 1988), but also is one of the important contributors to personal production activities. A person with higher social capital will improve his physical standard of living; spiritual needs will also be satisfied, and accordingly, welfare level will grow higher (Lin, 2010). As for the indirect effects, from the perspective of informal institution, social capital can affect people’s expectations, influence their behavior (Xu, 2014) and thus indirectly affect their income, health and employment, so as to improve household welfare. The mechanism is as follows: first, social capital can improve the flow of information, promote the diffusion and adoption of new technology, and reduce transaction cost through information communication channels (Ding et al., 2013). Second, social capital provides members of the cooperative with network support, trust and mutually beneficial norms and incentive supervision mechanism, promotes decision making and collective action, and reduces opportunistic behavior, so as to minimize negative externalities and promote the production of public goods. Third, as Grootaert indicated in 1999, social capital can effectively improve the efficiency of resource allocation and promote mutually beneficial trade by the spreading mechanism such as citizens’ action norms, trust and reputation. Effects of social capital on farmers’ wellbeing 2.2 The relationship between social capital and people’s welfare In the literature which analyzes the impact of social capital on welfare, scholars hold different viewpoints; some are even opposite. Whether on the national, regional or household levels, a large number of studies show that social capital has a positive impact on economic welfare. Narayan and Pritchett (1997) found that higher social capital led to higher household welfare, and the impact social capital had on household welfare was greater than that of human capital and physical capital. Rose (1998) found that social capital was helpful in promoting the economic welfare using the multiple regression method. Grootaert (1999) used data from Indonesia and found that social capital could significantly increase farmers’ household welfare; and that the return on social capital gained by the poor was higher than that of the rich. Grootaert and Narayan (2004) did research on Bolivian farmers, drawing the following conclusion: the return on social capital gained by the poor was higher than other forms of capital. Therefore, Grootaert considered social capital as “the capital of the poor.” Jiang (2006) argued that the accumulation of social capital had a significantly positive impact on household welfare level. However, some scholars have the opposite viewpoints. Maluccio et al. (2000), based on an empirical analysis of South Africa, found that the economic return of social capital was less than that of human capital. Adato et al. (2007) using micro panel data of 1993–2001 from South Africa argued that the effect of social capital on increasing individual income was more efficient for non-poor people. Huang and Yang (2008) also believed that the marginal effect of social capital on income was less than that of human capital. Zhao and Lu (2009) did empirical research on Chinese rural areas and found that the poor had limited ability to obtain social capital and that the return of their social capital was also relatively lower than that of the rich. Social capital was “the capital of the rich,” according to their findings. In addition, some studies have shown no significant correlation between social capital and economic welfare. Putnam et al. (1993), who analyzed the development of the USA from the 1850s, found that although there was a significant decline in social capital, the country’s economic welfare had no significant decline. Gertler et al. (2006), by using panel data in Indonesia, found that that there was no significant correlation between social capital and family welfare level after risk shocks. Liu and Chang (2007) studied migrant workers’ income in the Yangtze River delta region from the perspective of social capital and found that the relationship between social capital and migrant workers’ income was not significant. The above literature provides a good foundation for this study. However, the results of the impact of social capital on household welfare are inconsistent. In the 14 undeveloped poverty-stricken areas in China, little research has been done in this aspect. Using field survey data, this paper attempts to investigate empirically the effect of farmers’ social capital on household economic well-being to see if the correlation is positive, negative or even unrelated. It studies different dimensions of social capital and puts forward more evidence of such effects. This paper is organized as follows: the following section describes the research method and econometric model; Section 4 gives the empirical analysis of social capital on the well-being of farmers and estimates the two-way causality, and then studies the equivalent multiple of social capital and income compensation; and the last section puts forward the conclusion and policy recommendations. 111 CAER 12,1 112 3. Methodology 3.1 Selection of variables This paper investigates empirically the effects of farmers’ social capital on their household economic well-being in China’s undeveloped poverty-stricken areas. Household economic well-being is the explained variable. It can be measured by household income, consumption expenditure, assets or other forms of household wealth. This paper chooses the natural logarithm of per capita household consumption expenditure as the explained variable for measuring farmers’ household well-being. The reason why it is chosen is that household income in a year varies widely. Moreover, farmers usually smooth their consumption in the year, and consumption expenditure can better characterize the farmers’ well-being. In employing the explanatory variables to measure social capital, this study has chosen to use farmers’ social network, participation, trust and reciprocity, which are specified as follows: (1) Social network: in China’s undeveloped poverty-stricken areas, social network is measured by the number of persons with whom the household mainly connects who can also bring benefit to them. It includes the number of frequently visiting relatives, and whether the household has migrant workers. In rural areas, the migrant workers’ network is an important form of social network. It can provide the rural surplus labor force with the information and opportunities to go out for work, and then increase the non-agricultural income. Whether the household has migrant workers reflects the extensive property of social network, while the number of frequently visiting relatives measures the affinity degree of the local social network. This paper assumes that there is no quality difference among the frequently visiting relatives of the household. (2) Participation: farmers’ participation in organizations and community groups can help them to obtain scarce resources in social life. This indicator is measured by farmers’ interest in public affairs, participation in village cadre elections and whether a Chinese Communist Party member or not. It is indicated by four levels: frequent participation, infrequent participation, rare participation and no participation, and is given the points of 4, 3, 2 and 1, respectively. (3) Trust: farmers’ trust toward each other can bring benefits to them. This indicator is measured by the level of farmers’ trust toward the outside world, such as toward acquaintances and strangers. The specific degree from extreme trust to no trust is given points from 10 to 1, respectively, in our data survey. In a sense, the harmony of the neighborhood reflects the degree of trust among farmers. (4) Reciprocity: this refers to the degree of mutual help between farmers and those with whom they daily interact. It can promote communication and cooperation among rural households, constrain opportunistic behavior and solve the “free-rider” problem of collective action. This indicator is measured by the role of relatives and friends when farmers fall in trouble. It is indicated by four levels: large, comparably large, normal and none, and is given the points of 4, 3, 2 and 1, respectively. 3.2 Model 3.2.1 Econometric model. We assume that after introducing the variable of social capital, the farmers’ utility function is as follows: U ¼ U ðI ; SC; X Þ; (1) where U denotes the farmer’s utility, namely the farmers’ well-being level, expressed by annual per capita consumption. I is the farmer’s net income for the year. SC is the farmer’s social capital and X is the farmer’s other characteristic variables. This function assumes that utility is a function of income, social capital and farmers’ other characteristic variables. At the same time, SC1, SC2, SC3, SC4 and SC5 represent the five different dimensions of social capital, that is, number of frequently visiting relatives, whether the family has migrant workers, reciprocity, trust and participation. Within this, a farmer’s social network scale is represented from two perspectives, namely the number of frequently visiting relatives and whether the family has migrant workers. Accordingly, we establish the following econometric model of social capital and farmers’ well-being: U ¼ b0 þby LogðI Þþbi SCi þbx X þx i ¼ 1; 2; 3; 4; 5: (2) 3.2.2 The equivalent multiple of social capital and income compensation. Assuming that C (X); U, SCi0) denotes the necessary income level that a famer with social capital SCi0 and characteristics of X needs to achieve the well-being level U. C(X; U, SCi1) stands for the necessary income level of a famer with social capital SCi1 and characteristics of X. We also define the equivalent multiple ES of social capital as follows: ES ¼ C ðX ; U ; SCi0 Þ ; C ðX ; U ; SCi1 Þ (3) where ES denotes the changing rate of the farmer’s income after the change in social capital, in order that make his utility remain unchanged. Taking the logarithm on both sides of Equation (3), we get the following equation: LogES ¼ Log C ðX ; U ; SCi1 Þ Log C ðX ; U ; SCi0 Þ ¼ bi DSC; by (4) where ΔSC ¼ SCi1−SCi0. This paper investigates what the equivalent multiple of social capital will be when the social capital changes by one unit, that is to say, SCi1−SCi0 ¼ 1, ΔSC ¼ 1, thereby LogES ¼ (βi)/(βy), so that the income compensation of social capital is CV ¼ ES I . In the equation, CV ¼ ES I , I stands for the farmer’s per capita income. CV stands for the income compensation of social capital. At average social income level, this indicator measures the extra minimum income the farmer needs to obtain if his social capital loses while his well-being level remains unchanged. Therefore, CV represents the farmers’ evaluation of the importance of different dimensions of social capital. The greater the CV, the more important the farmer considers the social capital and the higher his evaluation will be. On the other hand, the less important the farmer considers the social capital, the lower his evaluation will be. 4. Empirical analysis 4.1 Data 4.1.1 Data source. The data of this paper are from our social investigation in the Qinba, Liupanshan, Luliang and Yanshan undeveloped poverty-stricken areas in China in 2015. We obtained 1,259 household questionnaires, out of which 1,176 were valid. By adopting the method of random sampling investigation, investigators had face-to-face interviews with the head of the households, and administered questionnaires involving household characteristics, income and expenditure, social capital and other items. 4.1.2 Descriptive statistics of the main variables. Table I Effects of social capital on farmers’ wellbeing 113 CAER 12,1 114 Table I. Definition and description of variables Overall classification Variable name Variable explanation Social capital SC1 Mean SD Minimum Maximum Number of frequently visiting 12.070 8.820 1 60 relatives SC2 One of HH’s members is a 0.640 0.481 0 1 migrant worker (yes ¼ 1, no ¼ 0) SC3 Participation level (range 1–4) 1.820 0.926 1 4 SC4 Trust level (range 1–10) 3.464 2.713 0 9.100 SC5 Reciprocity level (range 1–4) 2.543 0.899 1 4 Household i HH income per capita 11,301.289 10,222.730 500.000 98,000.000 characteristics c HH consumption expenditure 7,759.347 8,308.955 400.000 78,000.000 per capita Ln i The natural logarithm of HH 9.026 0.823 6.210 11.49 income per capita Ln c The natural logarithm of 8.549 0.867 5.990 11.26 HH consumption expenditure per capita Scale Size of household 4.588 1.463 1 13 Area HH total contracted land area 6.680 6.459 1 40 Type Quality of Housing (scale 1–3) 2.000 0.722 1 3 Mach Number of pieces agricultural 0.337 0.481 0 2 machinery Car HH having car (yes ¼ 1, no ¼ 0) 0.158 0.365 0 1 Head of Age Age of HH head 46.682 10.180 19 73 2 Age square of HH head 2,282.5 942.05 361 5,329 household Age HH head is healthy (yes ¼ 1, 0.926 0.263 0 1 characteristics Health no ¼ 0) Edu HH head education (range 1 to 4) 1.970 0.767 1 4 Gender Head gender (male ¼ 1, 0.949 0.221 0 1 female ¼ 0) Note: HH refers to household Source: Authors’ calculation based on field survey data in China’s undeveloped poverty-stricken areas in 2015 From our field survey, the surveyed households’ social capital conditions are as follows. 4.1.2.1 Social network size. The maximum, minimum, mean and standard deviation of the number of frequently visiting relatives of the surveyed households are, respectively, 60, 1, 12.070 and 8.820, which indicates the social network size ranges widely and has a high discrete degree. From the mean, standard deviation, maximum and minimum of the number of migrant workers, we can see that in the undeveloped poverty-stricken areas of China, the households having migrant workers are more than those not having migrant workers and the dispersion degree of the number of migrant workers among the households is small. To analyze further, among the surveyed households having less than five persons, 61 percent have migrant workers; while among the surveyed households having more than five persons, the proportion is 74 percent. When the age of the head of the household is between 30 and 40, the proportion of migrant workers is only 35 percent. When the head’s age is less than 30 or greater than 60, the proportion of migrant workers is, respectively, 62 and 70 percent. When the head of the household is male, the mean of the frequently visiting relatives is 12.87, but when the head of the household is female, the mean is 7.82. It means the number of daily interactions of male-headed households is much greater than femaleheaded households, because the males’ social status and activity levels are higher than those of the females. 4.1.2.2 Participation level. From the descriptive statistics, the mean of the participation level of the surveyed households is 1.820. The maximum, minimum and standard deviation, respectively, are 4, 1 and 0.926. This means the surveyed households’ participation level in public activities and affairs is low, and the dispersion degree of the participation level among households is small. The statistics show that when the head’s age is less than 30, the average level of participation in public affairs is 1.39, while the average level is 1.66 when the head’s age is between 31 and 45. The average level of participation is 1.91 when the head’s age is between 46 and 60, and the average is 2.33 when the head’s age is greater than 60. This means that with increasing age, the prestige and social status of the household head gradually increases. They receive more respect, and increase their participation in public affairs. 4.1.2.3 Trust level. From the descriptive statistics, the mean, maximum, minimum and standard deviation of the trust level of surveyed households, respectively, are 3.464, 9.1, 0 and 2.713. This indicates that the trust level of the surveyed households is low, and the dispersion degree of the participation level among households is not big. Statistical analysis shows that the trust level of those household heads who have only primary or secondary education levels is higher than those with university education, because with a higher education level, people’s thoughts encompass a wider range of factors and they are more cautious when getting along with others; thus, their level of trust in others is lower. 4.1.2.4 Reciprocity level. From the descriptive statistics, the surveyed households’ average reciprocity level is 2.543. The standard deviation, maximum and minimum are, respectively, 0.899, 4 and 1. This indicates that the surveyed households have a high reciprocity level, and the dispersion degree of the reciprocity level among the households is small. Our statistical analysis also shows that when the head’s age is less than 30 or greater than 60, households have a low level of reciprocity, but when the head’s age is between 30 and 60, households have a high level of reciprocity. This may be due to the fact that households with young heads accumulate limited social resources, and households with old heads gradually reduce their daily communicative activities, but households with middle-aged heads have considerable social resources and more frequent communicative activities. 4.2 Regression results and analysis (Table II) The coefficient of each variable of Equation (2) can be obtained from the regression above. From the results, the variables measuring social capital are statistically significant. The coefficients of SC1: the number of frequently visiting relatives, SC3: participation level, SC4: trust level and SC5: reciprocity level are all positive, indicating a positive correlation between these dimensions of social capital and the households’ well-being. Other researchers found similar results (Narayan and Pritchett, 1997; Rose, 1998; Grootaert, 1999; Grootaert and Narayan, 2004; Jiang, 2006; Huang and Lin, 2010; Ye and Luo, 2011). The coefficient of SC2 is negative, indicating that this type of social capital is negatively related to the household well-being. The usual understanding is that migrant workers can increase the household income and improve household well-being, so the coefficient should be positive. But this paper posits that migrant workers do not live in their villages and this may weaken their links with other households in their own village, decreasing their household social capital stock and their household well-being. The other reason is that the migrant workers’ consumption is not included in the total consumption of the households. The influence of participation level on household welfare is 0.088, and the influence of trust level is 0.073. This suggests that the higher the level of the households’ Effects of social capital on farmers’ wellbeing 115 CAER 12,1 116 Table II. Social capital and results of farmers’ estimated level of well-being Variable name Variable explanation Coefficient SE Intercept β0 4.373*** (1.018) Ln i The natural logarithm of HH income per capita 0.436*** (0.073) Gender Head gender (male ¼ 1, female ¼ 0) 0.113* (0.063) Age Age of HH head 0.066** (0.032) Age square of HH head −0.001** (0.00) Age2 Edu HH head education (range 1–4) 0.069 (0.066) Scale Size of household −0.080** (0.038) Area HH total contracted land area 0.018* (0.009) Type Quality of housing (scale 1–3) 0.0030*** (0.001) Mach Number of pieces of agricultural machinery 0.056 (0.110) SC1 Number of frequently visiting relatives 0.009* (0.005) SC2 One of HH’s members is a migrant worker (yes ¼ 1, no ¼ 0) −0.085* (0.048) SC3 Participation level (range 1–4) 0.088* (0.047) SC4 Trust level (range 1–10) 0.073*** (0.023) SC5 Reciprocity level (range 1–4) 0.035* (0.020) 2 2 Adjusted R 0.394 Adj. R n Sample size 1,176 Notes: *po 0.1; **p o0.05; ***p o0.01 Source: Authors’ calculation based on the field survey data in China’s undeveloped poverty-stricken areas in 2015 participation in rural public affairs, the more significantly this affects their own wellbeing. In the same way, the higher the level of trust in others in their village, the more significantly this affects their own well-being. Thus, improving participation in public affairs and strengthening trust levels can improve the level of household well-being in the undeveloped poverty-stricken areas in China. The age of the household head and annual income per capita have statistically significant effects on farmers’ well-being. The influence of heads’ education level on farmers’ well-being is not significant, and one possible reason is that such areas in China are naturally fragile and people in those areas face more risk shocks. There is a tendency toward saving to deal with future uncertainty, and their patterns of consumption are also similar, tending to only just meet their daily needs. The other possible reason is that the sources of income and standards of living in undeveloped poverty-stricken areas in China are quite similar, so it is hard to increase the well-being of the household even if the heads have a higher education level. It is obvious that male-headed households’ well-being is higher than that of female-headed households, and the results are statistically significant. This is in line with the understanding, in a general sense, that female-headed households are mostly single parents. The effect of household size on farmers’ household welfare is negative, and it is also statistically significant. This means that the more members of the household, the lower their overall welfare. This is because the larger the household, the greater the household burden and consequent costs and the lower the level of well-being. The quality of house and the contracted land area are positively related to wellbeing. This is because the house is often the most important asset of Chinese rural households in poverty-stricken areas; the better the quality of the house, the higher the living standard of the households. Part of the farmers’ income is from farming, and their income will increase with increasing size of the contracted land area, leading to a higher level of well-being. 4.3 Two-way causality: instrument variable estimation This paper treats social capital an input of household production function. However, Grootaert (1999) and Grootaert and Narayan (2004) argued that social capital, like human capital, can be, at least partly, a consumption good. Therefore, there could be a reverse causality from well-being level to social capital. If so, the estimated coefficient of social capital is biased. In econometrics, instrument variable estimation can be used to solve this two-way causality. Grootaert (1999), Grootaert and Narayan (2004) and Yusuf (2008) also adopted this estimation to estimate reverse causality. So we need to find valid instrumental variables. Such variables induce changes in the social capital but have no independent effect on farmers’ well-being, allowing a researcher to uncover the causal effect of social capital on farmers’ well-being. We argue that the following instrument variables are suitable for social capital in China’s poverty-stricken areas: frequency of relatives’ and friends’ visiting the household during Spring Festival, number of churches and temples in the village, frequency of helping others in the same village when a household encounters a big event such as house-building, number of organizations in the village and proportion of migrant workers in the village. After introducing the above instrumental variables, we apply the 2SLS regression. The following results obtained are compared with the previous results. From this table, we can see the adjusted R2 has increased from 0.394 to 0.396 and the coefficients of social capital all have a slight change. Yusuf (2008) indicated that a reverse causality could have been accepted if there is no improvement or reduction in R2 as well as reduction/lack of improvement in the instrumented variable. Moreover, for example, the coefficient of SC1 with instrumental variable estimation has changed into 0.010 which was 0.009 in the OLS estimation, indicating a one unit increase in the instrumented SC1 leading to a 1 percent increase in household well-being. Such changes in R2 as well as the coefficients of social capital suggest the absence of significant reverse causality, and thus confirms social capital is and exogenous determinant of household well-being (Table III). In addition, Hausman’s test is performed on the regression of the instrumental variables and the ordinary least squares regression. Table IV shows the results. Variable name Without instrumental variable (OLS) Effects of social capital on farmers’ wellbeing 117 With instrumental variable (2SLS) 4.373*** (1.018) 4.371*** (1.015) β0 Ln i 0.436*** (0.073) 0.433*** (0.069) Gender 0.113* (0.063) 0.114* (0.065) Age 0.066** (0.032) 0.064** (0.030) Age2 −0.001** (0.00) −0.001** (0.00) Edu 0.069 (0.066) 0.070 (0.067) Scale −0.080** (0.038) −0.083** (0.039) Area 0.018* (0.009) 0.017* (0.009) Type 0.0030*** (0.001) 0.0031*** (0.001) Mach 0.056 (0.110) 0.057 (0.111) SC1 0.009* (0.005) 0.010* (0.006) SC2 −0.085* (0.048) −0.087* (0.050) SC3 0.088* (0.047) 0.089* (0.049) SC4 0.073*** (0.023) 0.074*** (0.025) SC5 0.035* (0.020) 0.037* (0.022) Adj. R2 0.394 0.396 n 1,176 1,176 F-statistics 23.28 24.75 Notes: *p o0.1; **p o0.05; ***p o0.01 Source: Authors’ calculation based on the field survey data in China’s undeveloped poverty-stricken areas in 2015 Table III. Social capital: Instrumental variable estimation CAER 12,1 The p-values obtained by the test are all greater than 0.7, and the null hypothesis that there is no systematic difference between the OLS result and the 2SLS result cannot be rejected. Therefore, based on the results of the Hausman’s test, we found that there is no significant endogeneity in the social capital variables, that is, using the OLS results to estimate the impact of social capital on the income of farmers will not have systematic bias. 118 4.4 The equivalent multiple of social capital and income compensation Table V is calculated by Equations (3) and (4). As can be seen from the results, the equivalent multiple of the number of frequently visiting relatives is 1.021, and income compensation is RMB 2,323.47 per year, indicating that on the premise of no difference in the quality of relatives, households should receive an annual income of RMB 2,323.47 as compensation to ensure the same level of welfare when the number of frequently visiting relatives reduces by one unit. The equivalent multiple of households having migrant workers is less than one, because the social capital is negatively related to households’ well-being. Its income compensation is RMB 1,872.86 per year, indicating that households should get an annual income of RMB 1,872.86 to ensure the same level of welfare when the number of migrant workers increases by one unit. This is different from the other four indicators of social capital. Households should get income compensation when relatives, participation, trust level and reciprocity level decrease, but households should get annual income compensation when the number of migrant workers increases. When the level of participation increases by one unit, the income increases to 1.224 times, and income compensation is RMB 2,785.018 per year to maintain the original level of wellbeing. Similarly, when the levels of trust or reciprocity change by one unit, equivalent multiples are 1.182 and 1.084, respectively, and income compensation is RMB 2,690.833 and 2,466.24, respectively. Thus, when the level of well-being and the characteristic conditions of households are held equal, participation level requires the most income compensation, and the level of trust comes second. Instrumental variables Table IV. Hausman’s test: p-value Table V. The Equivalent multiple of social capital and income compensation SC1 SC2 SC3 SC4 SC5 Frequency of relatives’ and friends’ visiting the household during Spring festival 0.853 Number of churches and temples in the village 0.743 Frequency of helping others in the same village when a household 0.772 encounters a big event such as house-building Number of organizations in the village 0.838 Proportion of migrant workers in the village 0.794 Source: Authors’ calculation based on the field survey data in China’s undeveloped poverty- stricken areas in 2015 Number of frequently visiting relatives Households having migrant workers Participation level Trust level Reciprocity level 1.021 0.823 1.224 1.182 1.084 2,323.47 1,872.86 2,785.018 2,690.833 2,466.24 Source: Authors’ calculation based on field survey data in China’s undeveloped poverty-stricken areas in 2015 5. Conclusion, policy recommendations and limitations Using survey data of 1,176 farmers’ households from Qinba, LiuPanShan, Lu-liang and the Yanshan –Taihang mountains, which are 4 of the 14 undeveloped poverty-stricken areas in China, this paper studies the effects of different dimensions of social capital on the well-being of farmers’ households. The conclusions are summarized as follows: first, using statistical methods in data classification, we found that social network from the respect of the number of frequently visiting relatives among the households ranges widely and has a high discrete degree. In such areas, most households have a member migrating out of their village to work outside, and social network can also be measured from this respect. The households’ participation in organizations and community groups and their trust toward the outside world are low. The households in these poverty-stricken areas depend on mutual help among the persons they daily interact and have a high reciprocity level. Second, the regression results show that the four dimensions of social capital have statistically significant effects on household well-being, and the number of frequently visiting relatives, reciprocity, participation and trust level of the household contribute positively to the household well-being. Among these, the strongest effect on household well-being is the participation level. The number of migrant workers of the household has a negative impact on the household well-being. In addition, the age and gender of the head of the household has a statistically significant influence on household well-being. The well-being of male-headed households is higher than that of female-headed households. The quality of house and the contracted land area are positively related to farmers’ well-being. The influence of heads’ education level on farmers’ well-being is not significant. Third, using instrumental variable estimation to test reserve causality between social capital and household well-being, we find that the direct effect of social capital on well-being outweighs the reverse effect. Fourth, analysis of results of the equivalent multiple of social capital and its income compensation indicate that when the level of participation increases by one unit, the income increases to 1.224 times and participation level requires the most income compensation, and the level of trust comes the second. From the above results, this paper proposes that farmers’ well-being can be improved by improving the social capital in undeveloped poverty-stricken areas in China. It gives the following corresponding policy recommendations: first, social capital acquisition and investment are very important in undeveloped poverty-stricken areas. Households in such areas should pay attention to their social capital accumulation. The government may also establish and enhance the credibility of the rural social credit system to help the households in such areas build social networks and trust systems. Second, since participation level requires the most income compensation, the community and local government need to encourage the development of various ethical, religious and cultural entertainment organizations and promote community construction. The households themselves need to actively participate in public activities and affairs to build their prestige and social status in their villages, for they live in remote areas and have the free time to do so. Third, poverty alleviation can be achieved by investing in social capital in such areas in China. Constructing effective networks of social participation, fostering farmer’s participation awareness and increasing farmers’ opportunity to participate in public activities can help to improve farmers’ well-being and alleviate their poverty. The limitation of this paper is that the measurement of social capital is complex, and this paper selected only four core indicators of social capital, namely, social network size, level of reciprocity, trust level and participation level. Future research could try to expand the dimensions of indicators, cooperate with other subjects and establish a multi-dimensional social capital measurement model to measure the welfare of farmers more comprehensively. Effects of social capital on farmers’ wellbeing 119 CAER 12,1 References Adato, M., Lund, F. and Mhlongo, P. (2007), “Methodological innovations in research on the dynamics of poverty: a longitudinal study in KwaZulu-Natal, South Africa”, World Development, Vol. 35 No. 2, pp. 247-263. Bourdieu, P. 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