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. 2026 Mar 12;21(3):e0342445. doi: 10.1371/journal.pone.0342445

Wealth, health, and happiness: An inverse story of the Easterlin Paradox in China

Yangjie Wang 1, Lianhua Li 2, Juan Huang 1, Hongjie Qiang 1,*
Editor: Chih-Wei Tseng3
PMCID: PMC12981521  PMID: 41818252

Abstract

One popular explanation for the Easterlin paradox is that income growth over time is usually accompanied by industrialization and pollution, which cause damage to happiness that cannot be reflected by income change. We examine this explanation by exploring the effects of a large-scale environmental regulation program -the “Two Control Zones (TCZ)” Policy- on subjective well-being (SWB) using data from a series of household surveys in China. We find that, the regulation has successfully mitigated air pollution in the implemented area, although at the cost of local income. Overall, the environmental effect dominates the income effect and TCZ policy increases the SWB of affected people. In particular, despite its negative effect on income, by controlling air pollution, the TCZ policy brought a net increase in residential happiness with a money value of ¥59.04 per month in terms of 2009 CNY. This finding supports the environmental explanation of the Easterlin paradox.

1 Introduction

Nowadays, there is a growing concern about sustainable development among academics and policymakers, and with well-grounded reasons. The prevailing pattern of economic development has relied heavily on non-renewable fossil fuels. As a result, it has often been accompanied by severe environmental pollution and increased health risks [13], economic growth and wealth accumulation may not necessarily lead to proportional increases in happiness [4]. This concern echoes the well-known Easterlin paradox, which states that although happiness varies positively with income at a point in time, it does not rise over time as income continues to grow [57]. One prominent explanation for this paradox centers on environmental degradation. The idea is that long-run income growth is typically accompanied by industrialization and pollution, which impose welfare costs not captured by income measures. Thus, the positive effect of wealth accumulation on happiness could be partially or even totally offset by its environmental cost [8]. In this research, we examine the inverse perspective of the Easterlin paradox. If unsustainable growth accompanied by pollution reduces SWB, a natural question arises: can environmental regulation -despite potentially slowing economic activity- improve happiness? Or, more specifically, can we improve happiness by implementing environmental regulation on economic behaviors? We explore this question by examining the effects of a large-scale environmental regulation program -the “Two Control Zones (TCZ)” Policy- on subjective well-being (SWB), using household survey data from China, the world’s largest developing economy.

The environmental explanation of the Easterlin paradox not only provides a theoretical account of this empirical phenomenon, but also has far-reaching policy implications, especially for governments in developing countries and areas. In such contexts, development paths may be constrained by poverty traps, making environmentally friendly strategies appear unattainable [911]. At the early stages of development, countries and areas facing poverty traps might have to sacrifice their environmental quality in exchange for technologies and investments essential for escaping the trap and seizing development opportunities. While such sacrifices cannot continue indefinitely, the key question is when a transition should occur. Examining the environmental explanation of the Easterlin paradox helps to reveal the residents’ trade-off between development and environment in developing countries and areas and thus provide important insight for local governments there. This explanation provides a natural starting point for considering whether improvements in environmental quality might increase happiness even at the cost of slower economic growth. If environmental problems associated with development have reduced local SWB, this may indicate that a change in the development trajectory is warranted.

Despite increasing social and academic interest, quantitative literature on the association between income, air pollution and SWB remains in its infancy. Accurately estimating the relationships among income, air pollution, and SWB faces several methodological challenges. First, SWB is influenced by various factors, and many of them could be correlated with air pollution. It is impossible to control all these factors, so directly regressing SWB on air pollution could cause endogenous problems. Second, different demographic groups may have varying preferences for air pollution reduction versus income gains, leading to different levels of willingness to pay (WTP) for environmental quality. This limits the generalizability of findings derived from small or context-specific samples. As a result, context-specific studies often yield ambiguous conclusions. For example, some studies document a significant negative relationship between air pollution and SWB. Others, however, find that pollution plays a relatively minor role compared with factors such as spatial location [12,13], socioeconomic status [14,15], and weather conditions [16]. Similarly, the Easterlin paradox is confirmed in China [3,8,17], Germany [18,19], and Japan [20,21], while the opposite is found in Italy [2224], the United Kingdom [25,26], and Romania [27].

In this research, we investigate the environmental explanation of the Easterlin paradox taking advantage of a quasi-natural experiment provided by a large-scale environmental regulation program -the “Two Control Zones (TCZ)” Policy- in China. The term “Two Control Zones” refers to acid rain control zones and SO2 pollution control zones. This policy was imposed by the Chinese government in 1998, which entailed the enforcement of stricter regulations aiming at reducing the use of high-sulfur coal and promoting clean energy technologies. Many researchers have explored the role of the TCZ policy in reducing pollution and improving air quality [2830], and generally found a significantly positive relationship between the policy and the air quality improvement. However, much less is known about whether this regulation slows economic growth in targeted cities. And if so, how will the trade-off between economic benefit and environmental quality be evaluated by residents and thus affect their SWB? This study aims to explore this dimension of the policy’s impact.

We estimate people’s willingness to pay for air quality as well as the effect of TCZ policy on air pollution and income. Following Levinson, Ambrey, and Zhang et al. [3,3133], we find that people’s willingness to pay (WTP) is ¥109.56 per month (in 2009 CNY) for a reduction of 10,000 tons in SO₂ emissions. Combining this with our estimates of the TCZ policy’s effects—reducing SO₂ emissions in affected cities by approximately 8,920 tons and lowering average monthly individual income by about 5.2%—we conclude that, on average, the TCZ policy still increases the SWB of affected individuals, with an equivalent monetary value of approximately ¥59.04 per month. Our results are consistent with the environmental explanation of the Easterlin paradox, which suggests that as the economy develops, people increasingly value the environmental quality of their surroundings, and the SWB loss from environmental degradation may outweigh the gains from economic development. In this sense, regulating economic activities to improve air quality may be worthwhile. We conduct several robustness checks to validate this conclusion, including: (1) replacing pollution with self-reported health to verify the pathway through which the policy improves health by reducing pollution, thereby increasing SWB; (2) recalculating WTP while accounting for differences between the CHIP and CHNS datasets; and (3) performing parallel trend tests to assess whether pre-existing trends in income and pollution existed prior to the policy shock; and (4) conducting balancing tests to examine whether the TCZ policy is systematically correlated with observable time-varying characteristics (see Appendix B). The validity of our conclusion is confirmed by all these robustness checks.

The rest of the paper proceeds as follows. Section 2 reviews the literature. Section 3 describes the policy background. Section 4 outlines our empirical strategy, and Section 5 presents the empirical results. Section 6 concludes.

2 Literature review

Happiness plays a critical role in economic behavior, and higher life satisfaction is associated with enhanced cognitive functioning, competence, and productivity [34]. Moreover, the field of happiness economics has expanded substantially since the 1990s [35]. It is important to recognize that happiness is a complex concept influenced by a range of individual and societal factors. Prior studies have linked happiness to factors such as income, age, education, GDP per capita, welfare institutions, public insurance, and unemployment rates, among others [3537]. Among these determinants, the role of wealth accumulation has attracted particular attention, as economic growth remains a primary objective for most governments [38]. The traditional view holds that economic growth raises income, and higher disposable income can be translated into greater consumption and thus higher utility [39]. While conceptually appealing, this view faced empirical limitations due to the difficulty of measuring happiness. In fact, income itself is usually used by economists as a proxy for happiness [12]. Since the 1970s, Easterlin and subsequent researchers have shown that happiness can be elicited through survey questions asking individuals to evaluate their quality of life in subjective terms (such measurements are usually called SWB). Diener et al. [40] further demonstrated that SWB measures exhibit high internal consistency, reliability, and validity.

Research based on SWB challenged traditional beliefs about the income-happiness relationship and generated substantial debate. In U.S. data, Easterlin found that although at a point in time happiness varies directly with income both among and within nations, over time, happiness does not trend upward as income continues to grow [5,7]. Subsequently, this phenomenon, known as the Easterlin paradox, is also confirmed in other developed countries [6,18,41], and later, in less developed countries [4143]. Critics argue that Easterlin’s finding may be due to a failure in isolating statistically significant relationships between average levels of happiness and economic growth through time; related empirical evidence has been documented in several studies [41,4447]. Although there is debate regarding the significance of the effect, both supporters and opponents of the Easterlin paradox generally report positive but very small estimates of the stated long-run income-happiness relationship [48]. It seems that even if income does have a long-run influence on happiness, the relationship is not as prominent as traditional beliefs.

Several theories attempt to explain why the long-run relationship between income and happiness appears weak. Easterlin and his followers argue that this phenomenon might be due to psychological issues of hedonic adaptation [4951], or maybe it is the relative position of the income instead of its absolute value which determines happiness [47,50,5254]. Beyond psychological explanations, other researchers seek to explain the Easterlin paradox from an economic perspective. They suggest that happiness is neither a definite nor an automatic consequence of income growth [48]; instead, it also consists of many other things such as interpersonal relationships [55], social security [56], and health [57]. One popular explanation from the economic perspective concerns the environment. This explanation suggests that income growth over time is usually accompanied by industrialization and pollution, which harm happiness in ways that are not captured by changes in income. As a result, pollution accompanying income growth may offset the positive effects of wealth accumulation on SWB [8]. In recent years, as concerns about environmental quality, sustainable development, and climate change have increased, policymakers and academics have shown increasing interest in this explanation of the Easterlin paradox and have used it to justify environmental regulations that are often criticized for potentially harming the economy and employment [58,59].

Two main lines of research have focused on the environmental explanation of the Easterlin paradox. First, abundant literature has examined the relationship between pollution and SWB [3,6062]. These studies examine multiple types of pollution and generally show that pollution associated with economic growth can reduce SWB. However, most of these studies examine how pollution affects happiness while treating income as exogenous. Few have considered the endogenous relationship between income and pollution, or explored whether environmental regulation can improve SWB by accounting for both effects. By estimating the welfare effects of the TCZ policy, our study provides an integrated perspective on both the income and environmental channels. A recent study comparable to ours in this regard is Sun et al. [63], which considers both income and environmental effects as transmission mechanisms through which air pollution affects SWB. However, Sun et al. [63] use provincial-level cross-sectional data in their analysis, which makes their results more prone to endogeneity issues. All cross-city variations within the province are also averaged out in their research. By contrast, we construct a panel dataset based on a longitudinal survey and match interviewees’ air pollution exposure and SWB at the city level.

Second, in recent years, empirical studies based on hedonic pricing or contingent valuation have emerged to estimate how an individual’s SWB is affected by amenities (including pollution) in their living surroundings, driven by the growing need to evaluate people’s WTP for environmental policies or business projects. [6467]. Studies using hedonic pricing or contingent valuation provide important insights into how people make trade-offs between wealth and the environment in specific contexts. However, due to the high requirement for detailed individual information, such research usually either focuses on a small group of interviewees concentrated in limited geographic areas (see Borja-Urbano et al. [67]), or relies on aggregated data at the provincial or national level (see Malpezzi [68]). They cannot provide a comprehensive view of how regional or local happiness profiles are affected by the corresponding environmental conditions. We use pooled cross-sectional data covering 214 cities across 22 provinces from 2002 to 2013, matching city-level pollution measures and economic variables to individual respondents. This structure allows us to capture more comprehensively how environmental conditions affect SWB. Our research can also be linked to the growing environmental regulation literature on China, the world’s largest developing economy. In recent years, the Chinese government has introduced a series of environmental regulations to address the growing threat of environmental deterioration resulting from rapid industrialization and economic growth. Existing literature has examined the effectiveness of various environmental regulations in China from various perspectives [62,6971]. Extensive research has also examined the effects of the TCZ policy. However, due to data limitations, most of the existing literature has to focus on only one aspect of the policy’s effects. For example, several studies examine the pollution reduction or health effect of the policy [30,7274], while others focus on its impact on income [75,76].

Our study contributes to the environmental regulation literature and the TCZ policy literature by: 1) comprehensively examining two key mechanisms—pollution and health effects, and income effects—through which the TCZ policy influences SWB in the context of the Easterlin paradox; and 2) quantifying the monetary value of the TCZ policy’s impact using a WTP-based approach.

3 Background

To contextualize our empirical strategy, we begin with a brief overview of China’s air pollution challenges and its efforts to curb SO₂ emissions, with a particular emphasis on the TCZ policy.

China has experienced remarkable economic growth since the launch of its reform and opening-up policy and its transition toward a market economy in the late 1970s. However, as in many developing countries, rapid industrialization brought not only substantial economic growth but also severe environmental degradation. As early as the 1990s, coal combustion–induced SO₂ emissions represented one of the most serious air pollution problems in China [77]. Elevated atmospheric SO2 concentrations pose serious health risks, increasing the likelihood of respiratory diseases such as lung cancer and causing irritation of the conjunctiva and upper respiratory tract, among other inflammatory conditions [78] SO2 emissions are also a major contributor to acid rain. In 1995, approximately 40% of the country’s territory reported acid rain with an average pH value below 5.6 [79]. There were growing concerns that acid rain could damage ecosystems, buildings, and human health in China [80,81].

The Chinese government recognized the threats of SO₂ emissions and acid rain and adopted a series of measures to address this problem beginning in the 1980s [82]. China’s early efforts to combat SO₂ emissions and acid rain included the Air Pollution Prevention and Control Law (APPCL) enacted in 1987, its amendment in 1995, and a series of national and local emission standards gradually implemented since 1990. However, the effectiveness of these tentative and unsystematic efforts was questioned by many researchers [8385]. Therefore, in 1998, the Chinese government launched a systematic regulatory framework for SO₂ emissions, namely the “Two Control Zones (TCZ)” policy. Specifically, 175 cities across 27 provinces were designated as either acid rain control zones (mainly in South China) or SO2 pollution control zones (mainly in North China), and were subjected to a series of strict air pollution regulations. The TCZs covered approximately 1.09 million square kilometers, accounting for 11.4% of China’s territory, 40.6% of the population and 58.9% of the total SO2 emissions in 1995. Fig 1 shows the geographic distribution of TCZ cities in China.

Fig 1. Geographic distribution of TCZ cities.

Fig 1

Notes: Map created by the authors using administrative boundary data from GeoBoundaries [86]. The southern Chinese archipelago is not shown in the figure.

Unlike previous efforts, this ambitious policy initiative fully reveals China’s determination to solve SO2 emission-related problems. First, the TCZ policy established detailed production requirements for related industries. For example, according to the Official Reply of the State Council on Issues Concerning Acid Rain Control Areas and Sulfur Dioxide Pollution Control Areas issued in 1998, new coal mines in TCZ cities can obtain approval only if the sulfur content in their products is controlled below 3%. Existing coal mines that fail to meet this requirement are required to reduce their production or even suspend operations until compliance is achieved. As a major emission source, coal-combustion power plants face even stricter requirements. Newly constructed plants burning coal with sulfur content higher than 1.5% must install sulfur scrubbers before being approved for operation. Existing plants burning coal with similar sulfur content must adopt effective SO2 emissions reduction measures by 2000. Moreover, new plants were no longer allowed to be built near large cities, except for heat-supplying cogeneration purposes. Production procedures in industries with SO2 emissions potential such as steel, cement, electric power, nonferrous metals, etc., are also strictly regulated. These detailed requirements make the TCZ policy not only a principal guide for SO2 emission reduction but also an enforceable operational manual for both central and local governments.

Second, the TCZ policy profile was executed with strong administrative and fiscal support. Administratively, local governments and SO₂-emitting industries—especially power plants and coal producers—were required to adopt effective measures in accordance with TCZ plans to ensure the achievement of emission reduction goals. The Environmental Protection Agency, the Ministry of Economic and Trade, and the Ministry of Science and Technology were designated to guide SO2 emissions reduction projects, monitor atmospheric SO2 concentrations, and inspect emission control efforts. Fiscally, China expanded its SO2 discharge fee system, piloted in selected areas since 1992, to cover the entire TCZ region. The collected funds were used as local environmental protection subsidies, with over 90% allocated to SO2 control projects targeting key polluters. During the Tenth Five-Year Plan period (2001 ~ 2005), the central government also earmarked 12 billion CNY for TCZ cities to construct desulfurization facilities in coal-fired power plants, aiming to reduce annual SO₂ emissions by 1.05 million tons.

Third, to ensure the effectiveness of the policy, the State Council set both short-term (by 2000) and long-term (by 2010) pollutant emission control targets for each TCZ city. Most cities ultimately met their assigned targets. For example, according to Shenyang City’s Eleventh Five-Year Major Pollutant Emission Reduction Work Plan, the city aimed to reduce its SO2 emissions to below 105.4 thousand tons per year by 2010; the actual emission level was 96.4 thousand tons. Similarly, Shanghai City’s Eleventh Five-Year Plan for environmental protection and ecological construction set a target of keeping annual SO2 emissions below 380 thousand tons by the end of 2010; the actual level reached 358.1 thousand tons.

With detailed regulatory measures, strong fiscal and administrative backing, and clear pollution control targets integrated into government performance evaluations, the TCZ policy marked a milestone in China’s efforts to combat SO₂-related environmental problems. A large body of official documentation has confirmed the TCZ policy’s effectiveness in improving air quality. By 2005, 45.1% of cities in the SO₂ pollution-control zones met the national Class II standard for average ambient SO₂ concentrations, while 73.9% of cities in the acid rain-control zones had done so. By 2010, the proportion of TCZ cities meeting the national Class II standard had risen to 94.9%.

Theoretically, the TCZ policy can influence residents’ SWB via two major channels. The first is the well-documented pollution–health channel. As suggested by existing literature, an increase in SO2 concentration in the atmosphere can cause chronic obstructive pulmonary disease [87], asthma [88,89], bronchiectasis [90] and tuberculosis [81]. All these deteriorate the health status or self-reported health status of affected residents and lower their happiness, as numerous studies have found a strong link between health and SWB across different age groups [37,9193]. In this sense, TCZ policy could increase happiness by improving self-recognized health status. The second is the more contentious income channel. On the one hand, pollution control regulations compel firms to alter production inputs or invest in abatement technologies, thereby raising costs and reducing output, profitability, and ultimately employment and wages [94]. From this perspective, TCZ policy may adversely impact residents’ income. On the other hand, sustained regulations may incentivize firms to pursue long-term green innovations, thereby enhancing productivity and potentially increasing employment and wages [95,96]. Better health and environmental quality have also been shown to boost labor productivity, increase labor supply, and raise total earnings [9799]. Moreover, environmental governance itself can generate employment [94]. Thus, the TCZ policy may also increase average income. Fig 2 presents the two mechanisms through which TCZ policy could potentially influence SWB. In summary, we expect the TCZ policy to reduce SO2 emissions and improve perceived health among residents. However, whether it reduces or increases income—and which channel has a greater effect on SWB—remains an open question in our study. As a preview of our findings, the TCZ policy significantly reduced SO2 emissions and improved residents’ perceived health, albeit at the cost of individual income and household income. Overall, the health benefits outweighed the income losses, resulting in increased SWB. This provides support for the environmental explanation of the Easterlin paradox in China.

Fig 2. Two mechanisms TCZ policy affects SWB.

Fig 2

4 Empirical strategy

This study investigates the environmental explanation of the Easterlin paradox, which posits that beyond a certain income threshold, increases in SWB may be offset by pollution generated during economic growth, thereby weakening or even eliminating the observed correlation between income and SWB. We examine this question from an inverse perspective by analyzing how an air pollution regulation that successfully reduced targeted emissions affected individuals’ SWB. If the environmental explanation of the Easterlin paradox holds, we should observe that effective air pollution regulations can improve SWB despite potential negative income effects.

4.1 Data

To address our research questions, we combine data from the following sources.

Our first data source comprises two large-scale household surveys: the China Health and Nutrition Survey (CHNS) and the China Household Income Project (CHIP).

The CHNS provides a longitudinal panel dataset derived from individual and community-level surveys. It was jointly conducted by the Carolina Population Center at the University of North Carolina at Chapel Hill and the National Institute of Nutrition and Food Safety at the Chinese Center for Disease Control and Prevention, with the aim of investigating nutrition and health among Chinese residents. As of 2015, ten waves of CHNS surveys had been conducted, covering both urban and rural areas in 15 regions across China, including 12 provinces and 3 municipalities (Beijing, Chongqing, Shanghai, Guangxi, Guizhou, Heilongjiang, Henan, Hubei, Hunan, Jiangsu, Liaoning, Shandong, Shanxi, Yunnan, and Zhejiang). For this analysis, we use data from six waves of the CHNS conducted between 1991 and 2006 (1991, 1993, 1997, 2000, 2004, and 2006), which provide two key variables: self-reported health status (SRH) and individual income. Respondents were asked, “How would you describe your health compared to that of other people at your age?” The responses are categorized into three categories: good, fair, and poor. In addition, respondents reported their income from their primary job.

The CHNS provides extensive information relevant to this study, including individual characteristics (such as SRH, age, sex, education, income, and marriage), household information (such as household size, number of kids, and household income), and community-level information (such as community medical service level, community education level and community hygiene level). The multistage, random cluster process used to draw the sample, along with the longitudinal nature of the data, also allows us to better control for unobserved individual heterogeneity and potential selection bias. The CHNS sample used in our analysis includes approximately 11,088 observations, covering 9 provinces and 47 cities (21 of which are TCZ cities and 26 are non-TCZ cities). It involves 2,351 households and 3,886 individuals, with data spanning from 1991 to 2006. However, the CHNS has one notable limitation. The survey focuses on the health status of the residents and does not include questions about subjective wellbeing. Therefore, we incorporate the CHIP survey to examine how income, pollution, and consequently health affect SWB—the right-hand side of Fig 2.

The CHIP surveys are conducted by the Agricultural Survey Corps in the National Bureau of Statistics of China and the Institute of Economics in the Chinese Academy of Social Sciences using methodologies closely aligned with those of the NBS surveys (see Eichen and Ming [100]; Li et al. [101]; Luo and Shi [102]). Currently, the surveys have been conducted in five rounds across most regions of China and the questionnaires cover topics such as income, consumption, employment, and production. Since 2003, the surveys have included the question: “Do you feel happy now?” The options include excellent, good, fair, poor, very poor, and unknown. The CHIP dataset has the advantage of containing information on both SRH and SWB; however, these variables were introduced only after the implementation of the TCZ policies. In this research, we utilize both surveys to achieve our research objectives. The CHIP sample used in our analysis includes 23,187 observations, covering most regions across the country, and the data is from 2002, 2007, 2008, and 2013.

The second data source used in this study is the city-level annual SO₂ emission data, obtained from the Emissions Database for Global Atmospheric Research (EDGAR v8.0) [103]. EDGAR provides harmonized and internationally comparable estimates of anthropogenic emission inventories. Based on this dataset, we construct annual SO₂ emissions for each city from 1991 to 2013 to measure air pollution intensity. We use emission data rather than ambient concentration data because the TCZ policy primarily targeted industrial SO2 emissions.

The third dataset includes information on city characteristics, including weather conditions, obtained from the National Meteorological Information Center. Table 1 summarizes descriptive statistics for each variable by data source.

Table 1. Summary statistics.

CHNS CHIP
Variable Definition Mean SD Mean SD
SWB Very unhappy = 1; unhappy = 2; fair = 3; happy = 4; very happy = 5 3.930 0.830
Income Individual monthly income (CNY) 743.9 955.2 1954 2224
Health Unhealthy = 1; fair = 2; healthy = 3 2.759 0.468 2.720 0.510
Age Age (years; individuals older than 16) 9.695 3.299 10.31 3.390
Education Years of formal education 39.13 10.34 43.26 9.770
Marriage Never married = 1; married = 2; divorce = 3; widowed = 4 1.906 0.399 2 0.350
Household income Annual household income (1,000 CNY) 26.45 26.86 47.85 48.10
Household members Household size (number of members) 3.914 1.399 3.360 1.070
SO2 Annual average SO2 emissions (in ten thousand tons) 9.978 9.915 16.95 12.42
Rain Annual average precipitation (mm) 1056 436.3 1080 493.4
Temperature Annual average temperature (°C) 14.43 4.590 16.13 3.620
Wind speed Annual average wind (m/s) 2.430 0.801 2.150 0.520

4.2 Estimation

The main empirical challenge of this study is the lack of consistent SWB data before and after the implementation of the TCZ policy. This issue is common in studies on SWB, as obtaining reliable and comparable SWB measures is inherently difficult. Fortunately, we have access to two complementary datasets that allow us to combine their strengths and offset their respective limitations. As noted in Section 4.1, the CHNS is a ten-wave longitudinal survey conducted from 1989 to 2015, covering periods both before and after the 1998 TCZ policy. It includes rich individual-, household-, and community-level information, with the exception of SWB. If SWB were also included, the CHNS would be the ideal dataset for our research. In contrast, beginning in 2002, the CHIP survey started collecting relatively complete responses to questions on SWB. There have been three survey rounds since then, each providing valuable information such as household income, wages, and self-reported health—essential variables for predicting how living conditions influence SWB. Among these, income and health are of particular interest, as they represent the two main channels through which the TCZ policy could affect SWB. Thus, the CHNS allows us to estimate how the TCZ policy affects pollution and income (the left half of Fig 2), whereas the CHIP enables us to identify how income, pollution (or health), and SWB are jointly related (the right half of Fig 2). Combining the two datasets allows us to address our central question: Can air pollution regulation improve happiness? The idea is as follows:

First, we use a typical difference-in-difference (DID) approach to estimate the effect of the TCZ policy on air pollution and residents’ income. For air pollution, we regress:

Pjpt=α1+β1(TCZj×Postt)+ω(P×f(t))+φ1Wjpt+δj+θt+μpt+εjt (1)

Here, Pjpt is the air pollution of city j (located in province p) at time t, measured by the annual SO2 emissions (in ten thousand tons) at the city level. TCZj is a dummy variable equal to 1 if city j is subject to the TCZ policy. Postt is a dummy variable equal to 1 for years 1998 and thereafter, representing the post-policy period. β^1 is then the parameter of interest which illustrates the effect of TCZ policy on city air pollution. To address the non-random assignment of the TCZ policy, following Li et al. [104] and Liu et al. [105], we additionally include the interaction term P×f(t), where P represents the baseline SO2 emissions of each city in 1997(the pre-policy year), and f(t) is specified as (i) year fixed effects, (ii) a post-policy dummy, or (iii) a third-order polynomial in time. These specifications flexibly control for differential pre-policy trends associated with initial pollution levels. For comparison, we also report the corresponding regression results and parallel-trend tests from specifications that exclude the interaction term P×f(t) in Appendix A (Tables A1-A2 and Figures A1-A2). The regression further controls for city-level meteorological variables such as precipitation, temperature, and wind speed as well as the city fixed effect δj, the time fixed effect θt, and the combined fixed effect at a higher dimension, i.e., μpt=Provincep×timet. εjpt is a heteroskedasticity-robust standard error term.

For residential income, we regress:

lnRihjpt=α2+β2(TCZj×Postt)+η2Xihjpt+ϕ2Mhjpt+φ2Wjpt+ω(P×f(t))+τi+δj+θt+μpt+εihjpt (2)

Here, lnRihjpt is the log monthly income of individual i from household h living in city j, province p, at time t. Xihjpt is a series of time-varying individual level control variables including years of education, age, and marital status. Mhjpt is a series of household level control variables including the household’s income and family size. τi  is the individual fixed effects. Wjpt, (P×f(t)), δj, θt and μpt are the same as in equation (1), and β^2 is the parameter of interest which measures the percentage change in monthly income associated with the TCZ policy. The above two regressions are estimated using the CHNS data.

Second, following Levinson, Ambrey, and Zhang et al. [3,3133], we estimate residents’ WTP for improved air quality by exploring their trade-offs between economic benefit and environmental quality subject to the constraint that their SWB stay the same. Since income might be correlated with unobserved factors that also affect SWB, we use an instrumental-variable (IV) approach to address potential endogeneity.

In terms of individual income, we choose the provincial level average income of workers who work in the same industry as the instrumental variable for individual income, as suggested by Zhang et al. [3]. We use a two-stage least squares (2SLS) approach to estimate this IV model. The 1st stage regressions are:

lnRihjkpt=α3+β3lnAvgWagekpt+η3Xihjpt+ϕ3Mhjpt+φ3Wjpt+δj+θt+μpt+εihjpt (3)

In equation (3), lnRihjkpt is the log monthly income of individual i at time t, where individual i is from household h, lives in the city j of province p, and works in industry k. lnAvgWagekpt is the average log income for staff who work in the same industry and the same province as individual i. Control variables Xihjpt, Mhjpt, Wjpt, fixed effects δj, θt and μpt are the same as in equation (1) and (2).

In the 2nd stage, we regress the following:

SWBihjkpt=α4+β4Pjpt+γ4lnR^ihjkpt+η4Xihjpt+ϕ4Mhjpt+φ4Wjpt+δj+θt+μpt+εihjpt (4)

Here, lnR^ihjkpt is predicted from equation (3). In equation (4), the parameters of interest are β^4 and γ^4, as they determine the change in SWB while holding other factors constant:

ΔSWB^ihjkpt=β^4ΔPjpt+γ^4ΔlnRihjkpt (5)

Therefore, according to Levinson, Ambrey, and Zhang et al. [3,3133], the WTP of affected residents for improved air quality (measured by reduced SO2 emissions) can be calculated by:

WTP^=RP|dSWB=0 =RCHIPβ^4γ^4 (6)

Here, RCHIP is the average income of the sample. Equation (3) to (6) are estimated using the CHIP data.

Finally, with the influence of TCZ policy on air pollution (β^1) and on the percentage change in monthly income (β^2) estimated in the first step, together with residents’ willingness to pay (WTP) for reduced air pollution obtained from the second step, we calculate the net monetary value of the TCZ policy for affected residents as:

Value(ΔSWB)=β^1WTP^+β^2RCHNS (7)

5 Results

5.1 Main results

This section presents the main results on how the TCZ policy affects the subjective well-being (SWB) of affected residents. As previously described, the analysis combines information from two large-scale household surveys: CHNS and CHIP.

We first apply the DID approach to the CHNS data and find that the TCZ policy significantly improves air quality in affected cities, although it comes at the cost of reduced residents’ income. Table 2 reports the estimated effect of the TCZ policy on air quality, measured by city-level SO2 emissions.

Table 2. The impact of the TCZ Policy on SO2.

(1) (2) (3)
VARIABLES SO2 SO2 SO2
TCZ×Post −0.892*** −0.800*** −0.827***
(0.312) (0.295) (0.283)
Rain −0.000 −0.001 −0.000
(0.000) (0.000) (0.000)
Temperature −0.719** −0.737** −0.721**
(0.309) (0.367) (0.310)
Wind speed −0.918 −1.416** −1.001
(0.586) (0.643) (0.633)
P×Year dummy YES NO NO
P×Post1998 NO YES NO
P × t NO NO YES
P × t × t NO NO YES
P × t × t × t NO NO YES
Year FE YES YES YES
City FE YES YES YES
Province-by-year FE YES YES YES
Observations 745 745 745
R-squared 0.961 0.947 0.960

Note: Table 2 presents the estimation results of Equation (1). Columns (1)–(3) correspond to different specifications of the time function f(t). Column (1) uses time fixed effects; Column (2) employs a post-policy dummy; and Column (3) adopts a third-order time polynomial. Robust standard errors are reported in parentheses (*** p < 0.01, ** p < 0.05, * p < 0.1).

As shown in Column (1) of the table, we find a significant negative effect of the TCZ policy on city-level SO2 emissions at the 1% level. More specifically, the implementation of the policy caused SO2 emissions in affected cities decrease by about 8,920 tons. This finding is consistent with Huang et al. [72], who also document a decline in SO2 emissions following the TCZ policy.

Table 3 reports the estimated economic effects of the TCZ policy, using the log of monthly income of surveyed individuals as the outcome variable. As shown in Column (1), after controlling for a set of observable characteristics that may affect individual income, the TCZ policy has a significant negative effect on residents’ monthly earnings. Specifically, the implementation of the TCZ policy reduces monthly income by approximately 5.2%, equivalent to a loss of about ¥38.68 relative to the sample average monthly income of ¥743.9. This estimate is statistically significant at the 1% level. This finding is consistent with Sun et al. [75], who also document income reductions in small and medium-sized cities following the TCZ policy.

Table 3. Impact of the TCZ Policy on log monthly income.

(1) (2) (3)
VARIABLES Ln(R) Ln(R) Ln(R)
TCZ×Post −0.052** −0.050** −0.044*
(0.025) (0.025) (0.024)
Education 0.006 0.006 0.006
(0.006) (0.006) (0.006)
Age 0.107 0.100 0.107
(0.070) (0.070) (0.070)
Age² −0.050*** −0.050*** −0.049***
(0.007) (0.007) (0.007)
Married 0.047* 0.046* 0.047*
(0.026) (0.026) (0.026)
Divorce 0.153*** 0.153*** 0.154***
(0.059) (0.059) (0.059)
Widowed 0.093 0.097 0.096
(0.080) (0.081) (0.081)
Household income 0.008*** 0.008*** 0.008***
(0.001) (0.001) (0.001)
Household members −0.026*** −0.026*** −0.026***
(0.008) (0.008) (0.008)
Rain 0.000 0.000* 0.000*
(0.000) (0.000) (0.000)
Temperature 0.036 0.032 0.033
(0.024) (0.024) (0.024)
Wind speed 0.006 −0.001 0.000
(0.038) (0.036) (0.038)
(85.729) (80.392) (88.977)
P×Year dummy YES NO NO
P×Post1998 NO YES NO
P × t NO NO YES
P × t × t NO NO YES
P × t × t × t NO NO YES
Individual FE YES YES YES
Year FE YES YES YES
City FE YES YES YES
Province-by-year FE YES YES YES
Observations 11,088 11,088 11,088
R-squared 0.799 0.799 0.799

Note: Table 3 presents the estimation results of Equation (2). Columns (1)–(3) correspond to different specifications of the time function f(t). Column (1) uses time fixed effects; Column (2) employs a post-policy dummy; and Column (3) adopts a third-order time polynomial. Robust standard errors are reported in parentheses (*** p < 0.01, ** p < 0.05, * p < 0.1).

We then use the CHIP data to estimate the relationship between income, air quality and SWB using a 2SLS IV regression. We report the related results in Table 4, where Columns (1) represents the 1st stage results while Column (2) represents the 2nd stage results. In Column (1), the instrument (Ln(Avgwage)) has a strong and statistically significant effect on the endogenous variable (Ln(R)). The reported F-statistics exceed conventional thresholds for weak identification, indicating that weak instruments are unlikely to be a concern in our specification. In Column (2), we obtain β^5=0.006 and γ^5=0.107. Since we use a linear 2SLS model in this regression, these two estimates do not have direct economic interpretations. However, their ratio reveals the trade-off between income and air pollution required to keep the individual’s perceived level of subjective well-being (e.g., feeling excellent, good, fair, poor, or very poor) unchanged. Together with the average income of the sample, i.e., ¥1954 per month, we estimate that the average monthly willingness to pay for a 10,000-ton reduction in SO₂ emissions is ¥109.56.

Table 4. The relationship between income, air quality and SWB.

(1) (2)
First stage Second stage
VARIABLES Ln(R) SWB
Ln(Avgwage) 0.339***
(0.029)
SO2 0.002 −0.006*
(0.004) (0.003)
Ln(R) 0.107*
(0.059)
Education 0.058*** 0.012***
(0.003) (0.004)
Age 0.056*** −0.036***
(0.005) (0.005)
Age^2 −0.071*** 0.040***
(0.006) (0.006)
Married 0.041 0.208***
(0.031) (0.028)
Divorce 0.084* −0.278***
(0.043) (0.053)
Widowed −0.070 −0.286***
(0.052) (0.066)
Household income 0.000*** 0.000*
(0.000) (0.000)
Household members −0.080*** 0.021***
(0.008) (0.007)
Rain 0.000*** −0.000
(0.000) (0.000)
Temperature 0.013 −0.083
(0.055) (0.056)
Wind speed 0.064 −0.084
(0.068) (0.058)
Year FE YES YES
City FE YES YES
Province-by-year FE YES YES
Cragg-Donald Wald F-statistic 165.782
Observations 23,187 23,187
R-squared 0.366 0.030

Note: Table 4 reports the estimation results of Equation (3) and Equation (4). Column (1) presents the first-stage IV regression corresponding to Equation (3). The Cragg-Donald Wald F statistic (165.782) and the Kleibergen-Paap rk Wald F statistic (140.884) both exceed conventional thresholds, indicating that the instrument is strongly identified. Column (2) reports the second-stage IV estimates corresponding to Equation (4). Robust standard errors are shown in parentheses. (*** p < 0.01, ** p < 0.05, * p < 0.1).

Finally, we combine the DID and IV results to estimate the monetary value of the net SWB improvement generated by the TCZ policy for affected residents. This value is calculated as: Value(ΔSWB)=(β^1WTP^+β^2RCHNS)=0.892×109.560.052×743.9=59.04.

5.2 Robustness checks

In this section, we present a series of robustness checks to assess the validity of our main results.

First, a standard concern in DID analyses is whether treated and control groups follow parallel trends prior to the policy shock. We therefore conduct two parallel-trends (event-study) tests.

Fig 3 displays the event-study estimates for Equation (1), which test the parallel-trends assumption for the TCZ effect on city SO2 emissions. The coefficients prior to the policy implementation are statistically indistinguishable from zero, while post-policy coefficients become negative. These results support the parallel-trends assumption underlying our DID design.

Fig 3. Parallel Trend Test (the TCZ on SO2).

Fig 3

Note: The baseline year is 1997, and the policy implementation year is 1998.

Fig 4 reports the event-study estimates for Equation (2). The pre-policy coefficients are not statistically significant, indicating no differential trends in log monthly income between treatment and control groups prior to implementation. This pattern supports the validity of the parallel-trends assumption for the income specification.

Fig 4. Parallel Trend Test (the TCZ on log monthly income).

Fig 4

Note: The baseline year is 1997, and the policy implementation year is 1998.

Second, our conceptual framework suggests that the TCZ policy may improve SWB by reducing air pollution and thereby enhancing health. Since our baseline results show a significant reduction in pollution, we next test the robustness of this health transmission channel. We re-estimate the effect of the TCZ policy on health (Table 5) and the effect of health on SWB (Table 6) under alternative specifications. Specifically, we examine the first stage of the mechanism (Fig 2) by estimating the following ordered logit model to determine whether the health status of affected residents improved after the implementation of the TCZ policy:

Table 5. The marginal effect of the TCZ Policy on health.

(1) (2) (3)
The Probability To Be Unhealthy −0.004* −0.004* −0.003*
(0.002) (0.002) (0.002)
The Probability To Be Fair −0.030* −0.029* −0.028*
(0.016) (0.016) (0.016)
The Probability To Be Healthy 0.033* 0.033* 0.031*
(0.018) (0.018) (0.018)
P×Year dummy YES NO NO
P×Post1998 NO YES NO
P × t NO NO YES
P × t × t NO NO YES
P × t × t × t NO NO YES
Individual Control YES YES YES
Family Control YES YES YES
Weather Control YES YES YES
Year FE YES YES YES
City FE YES YES YES
Province-by-year FE YES YES YES
Observations 10,603 10,603 10,603

Note: Table 5 presents the estimation results of Equation (8) eporting the marginal effects from the ordered logit model that measure the impact of the TCZ policy on individual health status. Columns (1)-(3) correspond to alternative specifications of the time function f(t). Column (1) uses time fixed effects; Column (2) employs a post-policy dummy; and Column (3) adopts a third-order time polynomial. Robust standard errors are reported in parentheses (*** p < 0.01, ** p < 0.05, * p < 0.1).

Table 6. The marginal effect of health on SWB.

(1) (2) (3)
Fair vs. Poor Good vs. Poor Good vs. Fair
The Probability To Be Very Unhappy −0.003*** −0.009*** −0.006***
(0.001) (0.001) (0.000)
The Probability To Be Unhappy −0.023*** −0.058*** −0.036***
(0.005) (0.005) (0.002)
The Probability To Be Fair −0.041*** −0.105*** −0.064***
(0.008) (0.008) (0.003)
The Probability To Be Happy −0.001* −0.004* −0.002*
(0.001) (0.002) (0.001)
The Probability To Be Very Happy 0.068*** 0.176*** 0.107***
(0.014) (0.013) (0.004)
Individual Control YES YES YES
Family Control YES YES YES
Weather Control YES YES YES
Year FE YES YES YES
City FE YES YES YES
Province-by-year FE YES YES YES
Observations 23,187 23,187 23,187

Note: Table 6 presents the estimation results of Equation (9), reporting the marginal effects from the ordered logit model, which measure the impact of individual health status on SWB. Column (1) shows the marginal effect of health2 in Equation (9), while Column (2) shows the marginal effect of health3. Column (3) reports the difference between (1) and (2). All control variables marked YES in the table are included in the regression but their coefficients are omitted for brevity. Robust standard errors are reported in parentheses (*** p < 0.01, ** p < 0.05, * p < 0.1).

Healthihjpt=α5+β5(TCZj×Postt)+η5Xihjpt+ϕ5Mhjpt+φ5Wjpt+ω(P×f(t))+δj+θt+μpt+εihcjpt (8)

Here, Healthihjpt is the self-reported health status of individual i, Xihjptis a series of individual level control variables including years of education, age, marital status, gender, nationality, and urban/rural residence. Other variables are just as previously defined. Table 5 reports the marginal effects of the TCZ policy on the probabilities of being unhealthy, fair, and healthy, estimated from ordered logit model.

As shown in Column (1) of the table, after controlling appropriate factors and fixed effects, we find that the TCZ policy increases the probability of reporting good health by 3.3 percentage points. This outcome confirms that the TCZ policy does improve the health status of the affected residents, which is consistent with the research findings of Wang et al [73]. Specifically, their study found that the TCZ policy led to a 39% reduction in the four-week prevalence of diseases associated with air pollution.

We then turn to the right half of Fig 2 and regress:

SWBihjpt=α6+β6Health2ihjpt+δ6Health3ihjpt+γ6lnWageihjpt+η6Xihjpt+ϕ6Mhjpt+φ6Wjpt+δj+θt+μpt+εihjpt (9)

Here, Health2ihjpt is a binary variable that equals 1 if the respondent reports a health status of “Fair”, and 0 otherwise. Similarly, Health3ihjpt equals 1 if the reported health status is “Good”, and 0 otherwise. Table 6 presents the marginal effects of reporting fair health (relative to poor health) and good health (relative to poor or fair health) on the probabilities of being very unhappy, unhappy, fair, happy, and very happy, based on an ordered logit model that includes individual, household, and weather-related covariates, as well as fixed effects.

As shown in Column (2) of the table, relative to residents who report poor health, those reporting fair health are 17.6 percentage points more likely to report being “Very Happy”. This outcome is significant at the 1% level. As shown in Column (3) of the table, compared to those who report fair health, individuals in good health are 10.7 percentage points more likely to report being “Very Happy”.

Third, a potential concern is the mismatch in data-collection periods: the CHIP surveys were conducted after the TCZ policy shock, so WTP estimates based on CHIP may not equal WTP in the policy year. To address this concern, we re-estimate WTP using year-specific estimates. More specifically, according to equation (7), the WTP is determined by its two components: the ratio β^4γ^4and the average income RCHIP. For the first component, we first regress equations (3) and (4) by year, to see how β^4γ^4 changes over time. Table 7 reports the by year results of equation (4).

Table 7. The relationship between income, air quality and SWB in different years.

(1) (2) (3) (4)
Year 2002 2007 2008 2013
SO2 −0.018*** −0.004 −0.003 −0.007**
(0.005) (0.004) (0.004) (0.003)
Ln(R) 0.213*** 0.079 0.140 0.094*
(0.082) (0.085) (0.099) (0.057)
|β^4/γ^4| 0.08 0.05 0.02 0.07
RCHIP 910.69 1981.33 2661.25 2232.16
WTP 76.96 100.32 57.03 166.22

Note: Table 7 reports the year-by-year results of Equation (4), with Columns (1)-(4) corresponding to different years (total observations = 23,187). For brevity, we only present the coefficients of SO2, Ln(R). The sample mean of income (RCHIP) is directly calculated from the corresponding CHIP subsample, while the implied WTP is computed using the estimated ratio |β^4γ^4| and RCHIP. All variables included in Equation (4) are included in the regressions. Robust standard errors are reported in parentheses (*** p < 0.01, ** p < 0.05, * p < 0.1).

As shown in the table, the β^4γ^4 ratio. is broadly stable. However, the estimated coefficients for the years 2007 and 2008 are not statistically significant. Therefore, our subsequent analysis primarily focuses on the results from 2002 and 2013. To obtain a policy-year approximation we consider two scenarios. (i) The “Average scenario”: we take the simple average of the 2002 and 2013 ratios (see Table 8). (ii) The “Linear interpolation scenario”: we linearly interpolate between the 2002 and 2013 ratios to estimate the ratio for the policy year (this yields a ratio of 0.9; see Table 8). For the income component, we use the average income of the subsample from affected areas in the CHNS data. The corresponding results are presented in Table 8.

Table 8. Results based on various assumptions.

Average Scenario Linear Interpolation Scenario
|β^4/γ^4| 0.08 0.09
RCHNS 743.9 743.9
WTP 59.1 65.6
Value(ΔSWB) 14.1 19.8

Note: Table 8 reports the marginal rate of substitution (|β^4/γ^4|) between air pollution and income under different assumptions, as well as the corresponding WTP calculated using the average income from the CHNS.

As shown in Table 8, our conclusion is robust across scenarios: although the TCZ policy reduces local income, the monetized welfare gains from reduced pollution exceed the income losses, yielding a positive net effect on SWB.

Finally, we address the difference in geographic coverage between the two datasets. As noted in the data section, the CHIP surveys cover most provinces in mainland China, whereas the CHNS surveys include only nine provinces. This discrepancy raises the concern that the WTP estimates derived from CHIP may not accurately represent the preferences of residents in the CHNS sample. To mitigate this issue, we restrict the CHIP sample to the provinces that overlap with the CHNS.

We replicate the procedures used for Tables 7 and 8 and present the corresponding results in Tables 9 and 10. As shown in Table 10, the welfare gains from pollution reduction continue to exceed the associated income losses, implying that the TCZ policy generates a positive net monetary benefit for affected residents.

Table 9. The relationship between income, SO2 and SWB (restricted geographic area).

(1) (2) (3) (4)
Year 2002 2007 2008 2013
SO2 −0.020*** −0.004 −0.013* −0.010**
(0.006) (0.005) (0.007) (0.004)
Ln(R) 0.179* 0.259** 0.211 0.143*
(0.095) (0.130) (0.134) (0.083)
|β^4/γ^4| 0.11 0.02 0.06 0.07
RCHIP 773.41 1789.73 2278.88 2214.23
WTP 86.41 27.64 140.40 154.84

Note: Table 9 reports the year-by-year estimates of Equation (4) using the CHIP dataset restricted to provinces also covered by the CHNS (total observations = 9,413). Columns (1)-(4) present results for 2002, 2007, 2008, and 2013, respectively. As in Table 8, we report only the coefficients of SO2, Ln(R). The sample mean of income (RCHIP) is directly calculated from the corresponding CHIP subsample, while the implied WTP is computed using the estimated ratio |β^4/γ^4| and RCHIP. All variables included in Equation (4) are included in the regressions. Robust standard errors are reported in parentheses (*** p < 0.01, ** p < 0.05, * p < 0.1).

Table 10. Results based on various assumptions (restricted geographic area).

Average Scenario Linear interpolation Scenario
|β^4/γ^4| 0.09 0.13
RCHNS 743.9 743.9
WTP 67.6 94.4
Value(ΔSWB) 21.6 45.5

Note: Table 10 reports the marginal rate of substitution (|β^4/γ^4|) between air pollution and income under different assumptions for the restricted sample, along with the implied WTP based on the CHNS average income.

Conclusion

The trade-off between economic development and environmental protection has long posed a major challenge worldwide, particularly for policymakers in developing countries. On the one hand, the environmental explanation of the Easterlin paradox highlights a key limitation of relying solely on income growth to enhance subjective well-being. It seems that to achieve the final goal of improving happiness, changes must be made to the widely adopted development path of “pollution before treatment” in many developing regions. On the other hand, concerns remain prevalent in these regions that enforcing environmental regulations might slow economic growth and, consequently, reduce people’s happiness, given that their economies are more vulnerable than those of developed countries. In this sense, empirical evidence on the environmental explanation of the Easterlin paradox, especially the ones targeted at developing countries and areas, have particular importance and strong policy implications.

In this research, we examine the environmental explanation of the Easterlin paradox in China, the world’s largest developing economy, by exploring the effects of a large-scale environmental regulation program-the TCZ Policy- on SWB of affected residents using observations from two multi-round household surveys (one of which is a longitudinal survey that provides a good panel). By comparing changes in pollution and income between TCZ cities and non-TCZ cities before and after the policy implementation under a series of DID approaches, our research offers robust evidence on how income, environmental quality, and pollution control interact to shape SWB—an area that has been underexplored in previous studies due to the scarcity of longitudinal SWB data.

We find that the regulation has successfully mitigated air pollution in the implemented area, though at a cost of local income. Overall, the environmental benefits outweighed the income losses, yielding a positive net monetary effect for affected residents. Ceteris paribus, an average resident would be willing to forgo approximately ¥109.56 (2009 CNY) in monthly income for a 10,000-ton reduction in local SO₂ emissions. Therefore, the net SWB improvement that TCZ policy brought to this average resident is equivalent to an increase in their income by about ¥59.04 in terms of 2009 CNY. We view this as evidence supporting the Easterlin paradox in China. The validity of our method is verified by a series of diagnostic tests, including parallel trend tests and covariate balancing checks. The results remain robust when replacing pollution with health status as the treatment variable and when accounting for potential temporal confounders.

Our results suggest that even in developing countries, a well-implemented air pollution regulation can greatly enhance the subjective wellbeing of affected residents, especially those living in industrialized and wealthier areas.

Supporting information

S1 Appendix. Additional tables and figures, including regression results without the P×f(t) interaction term, parallel trend tests, and balancing tests for time-varying covariates.

(DOCX)

pone.0342445.s001.docx (147.3KB, docx)

Data Availability

All data used in this study are publicly available: The China Health and Nutrition Survey (CHNS) data can be downloaded from the official repository at https://dataverse.unc.edu/dataverse/chns The China Household Income Project (CHIP) data is accessible via application at the official platform: https://bs.bnu.edu.cn/zgjmsrfpdcsjk/sjsq/index.html The SO₂ emission data is available for download from the EDGAR database at https://edgar.jrc.ec.europa.eu/dataset_ap81.

Funding Statement

This study was financially supported by the National Natural Science Foundation of China in the form of grants received by YW (72088101 and 72173139) and HQ (72203239). This study was also financially supported by the Natural Science Foundation of Hunan Province in the form of a grant (2024JJ2079) received by YW. The funders had no role in the study design, data collection and analysis, decision to publish, or preparation of the manuscript.

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Reviewer #1: This paper proposes the environmental explanation to the Easterlin paradox. Using the survey data of CHNS and CHIP, the paper estimates the effect of Tow Control Zone policy on households’ subjective wellbeing with a difference-in-difference approach, and further calculate the households’ willingness to pay for the environment. In general, I feel that the paper is well-written, the ideas is clear and easy to follow. Yet, there are some concerns regarding the research design and the empirical approach that need to be addressed to pass on to the next step. Following are some of my comments.

1.Prediction of household subjective wellbeing (SWB). To derive the dependent variable of SWB, which is absent in the CHNS data, the authors construct a SWB function (model 1) to predict the SWB probability using another CHIP data. A key assumption underlying the approach is that the estimated SWB function is national representative, so that it can be transferred from one data to another. However, given the fact that the two datasets have different geographical coverage and time periods, it is hard for me to believe that households in the two datasets have the same preferences, and that you can transfer the SWB function from one group of households to another group of households. You should further justify the representativeness of the CHIP data and the appropriateness of your approach.

2.Construction of the SWB function. In the model 1, it is clear that the SWB is predicted from the household health status, income, and a number of socio-economic characteristics. Since you also controlled for the same set of socio-economic characteristics in model (2), the predicted SWB equals to a composite indicator of health status and income. But in the follow-up analysis, you explain the effect of TCZ policy on SWB from the perspective of air pollution and income as in model (3) and (4). I wonder why don’t you just predict the SWB from the air pollution and income in model (1) to make it more consistent with the follow-up analysis?

3.Construction of the fake data. I feel it odd to inflate the data by expanding 1 observation to 100, should this trick artificially creates some problems of autocorrelation? Why don’t you just use a simple linear probit model in the first step to predict the SWB for households with the original CHNS data? This is more clear and simple for implementation.

4. Identification of the TCZ effect. The key assumption of difference-in-difference approach is the parallel trend assumption. However, it is un clear how do you test this assumption from the main text, and the results in table 4 are doubtful without any figures to show the parallel trend. Moreover, it is also important to test the parallel trend assumption for the follow-up analysis of air pollution and income. These test results could be put into appendix.

5. Misunderstanding in the heterogeneity analysis. How do you implement the heterogeneity analysis in section 5.2? Should you divide the full sample into subsamples or use interaction terms? It is unclear from reading the text, and in Table 5-7, it seems that you just simply add the classification variables in the model. You should clarify your approach.

6.The endogeneity problem. You mention that two instruments are employed to address the endogeneity issue of air pollution in Equation (8). I guess that you mean the Equation (5). If you think that the air pollution here is endogenous, it is also the concern for income. You should address the endogeneity problems of both air pollution and income with additional IVs. You should also carefully discuss the relevance and exclusive restriction of your IVs and present the first stage results of the IV estimations, which is now absent in the text.

7. Contribution of the paper. In the literature, there are a number of papers to estimate the impact of TCZ policy in China. Why your paper is novel compared to other TCZ studies? You should strengthen your contribution to the literature in the introduction.

Reviewer #2: The authors shed light on the Easterlin Paradox, a phenomenon in which economic growth does not improve the SWB of people. One of the typical explanations for this paradox is that environmental quality often deteriorates as economy grows, and the potential improvement in the SWB from economic growth is off-set by the SWB loss owing to deteriorated environmental quality. The authors examined the inverse story of this explanation, that is, whether and how an environmental regulation, which can reduce environmental pollution but hinder economic activities, affects SWB of people, using data from China and utilizing the TCZ policy implemented in 1998. The authors further estimated the WTP for pollution reduction and the monetary value of the TCZ policy. The results showed that the TCZ policy improved the SWB of people, reduced SO2 pollution, and lowered wage incomes. The authors concluded that the abovementioned inverse story of the Easterlin Paradox was supported.

While the question addressed is interesting, I have concerns on the scientific soundness and appropriateness of the analyses. The main results and conclusion of the study is entirely dependent on the “fake” dataset. My main concerns are 1) the estimation results to generate the fake dataset is only partially disclosed; and 2) the sample size is expanded by 100 times during the process, and this is likely to artificially lower the standard errors of the main results (detailed comments below).

Let me summarize their process to generate the fake dataset. The authors first estimated the equation (equation 1) to explain the SWB level (happy, fair, unhappy) by ordered logit based on the CHIPS data, which covers only the post-TCZ periods (called first stage). Then they predicted the probabilities that each CHNS sample individuals, which cover pre- and post-TCZ periods, has the three levels of SWB, extrapolating the estimated equation (1) to the CHNS data. Finally, the authors employed 1:100 expansion, in which each CHNS individual appears 100 times, to convert the predicted probabilities into categorical choice variable (if the probability of SWB=3 is 0.3, SWB=2 is 0.4, and SWB=1 is 0.3, then this individual appears 100 times in data, 30 times with SWB=3, 40 times with SWB=2, and 30 times with SWB=1). I understand the problem that the SWB data covering both the pre- and post-TCZ policy are unavailable. However, there are several major concerns with this procedure as follows.

1. The biggest concern is that the authors did not report the details of the estimation results to generate fake dataset, although the authors provided a clear methodological process. Authors graphically demonstrated the marginal effects of income and self-reported health status on the probabilities to choose three levels of SWB in the CHIPS data but omitted other details, noting “instead of reporting the meaningless estimates on coefficients (p31).” The problem is not either the coefficients or marginal effects are better. It is that all other information is not disclosed. More information is needed, such as the significances and signs of other variables (or ME), goodness of fit and/or overall explanation power, sample size and sample-selection criteria, etc. Although the overall results of this study were interesting, it was hard to agree or disagree with them if the derivation of the fake dataset is mostly kept in a blackbox.

Further concerns are on their 1:100 expansion method. The authors noted “that this trick is just to deal with the problems caused by the particular characteristic of ordered choice model, otherwise, what we do is nothing different from predicting a missing SWB and applying it for further research, which is common in researches facing incomplete data problems (see Little and Ann 2004, Kang and Schafer 2007, Penn 2009).” However, it is not that simple.

2. It does not seem that the authors dealt with the decreased standard errors owing to the increased sample size by 100-time appearance of each individual. That procedure would lower the standard errors and the t-values of the variables would be inflated. The authors did not state anything about this issue, and did not cite any study that utilize similar 1:100 expansion. I suspect that, after appropriate treatment of the standard errors, some of the coefficients that have values close to zero will become insignificant.

3. Further, why did the authors use non-linear model in the first stage but linear model in the second-stage estimations, although the dependent variable is the same SWB? Clearly, the SWB is a categorical measure. But in the second stage, the authors anyway mainly used “traditional fixed effect DID” and treated the SWB as a continuous variable. 1) If the non-linear model is preferable, then the second stage should also use non-linear model. 2) But if a linear-model is sufficient, then the authors can use linear model in the first stage as well and do not need to apply 1:100 expansion. What if the authors use a linear regression in the first stage, predict SWB^hat of CHNS individuals (which will be mostly non-integer values), and regress SWB^hat in the second stage without 1:100 expansion?

4. The authors cited three papers, but they basically focus on cases where key variables are missing for subsamples. But in this study, the key variable, SWB, is completely missing in the CHNS data and predicted from CHIP data. I felt that “nothing different” is not reasonable. For example, an underlying assumption to extrapolate the CHIP-based equation to the CHNS data is that the preferences of people in the CHIPS (starting from 2003) and the CHNS (1991–2006) are unchanged. But is it justifiable? In particular, a marginal effect of a one-yuan increase in income on the SWB could be different over time.

5. The main results and various robustness check and heterogeneity analyses showed that the TCZ policy improved the SWB. Then the authors argued that the positive effect is “evidence supporting the environmental explanation of the Easterlin paradox from an inverse story logistic (p32).” But the positive coefficient itself does not explain anything about the Easterlin Paradox, because at this moment, the authors have not provided any evidence that the TCZ policy simultaneously improved environmental quality and lowered economic welfare. The authors argue so conceptually in Figure 3 (p21), but the summary statistics (p25) rather suggest the opposite: the TCZ policy improves both the environmental quality and wage rates. It is Table 8 (pp43¬-44) where the authors provided evidence that the TCZ policy simultaneously improved environmental quality and lowered economic welfare for the first time (although several questions exist for this result, see below). Therefore, under the current structure, it was hard to agree with the abovementioned claim in p32. In the conclusion section, the authors explain the results of Table 8 first and then the impact of the TCZ policy on the SWB. The results section should proceed in the same way.

Section 5.3 is directly related to the inverse story of the Easterlin Paradox. While the WTP calculation method itself is fine, the estimation is questionable.

6. In column (26), the sample size is 1245170, meaning that the fake dataset was used. But in this estimation, because the SWB is not used, the authors should directly use the original CHNS dataset and do not have to use the fake dataset in which the same individuals appear 100 times. I wonder if the TCZxPost remains significant if the original CHNS dataset is used. Indeed, the summary statistics showed that the wage rate grew faster in the TCZ cities than in the non-TCZ cities, suggesting that the TCZ policy increased wage rate and lowered the pollution level. Maybe the effect of TCZ policy was reverted in column (26) after controlling for other factors (then it supports the inverse story of Easterlin Paradox). But the significant coefficient may just reflect the small standard errors caused by the 1:100 expansion. In sum, because there is no need to use the fake dataset, the authors should try this estimation with the original CHNS dataset.

7. In column (27), the SWB is regressed to SO2 level and log(wage) based on the fake dataset. But because the TCZ policy variable is not used this time, the authors can use the original CHIP dataset for this analysis. Do these coefficients remain significant if the original CHIPS data are used and the sample size is not artificially increased by 100 times?

8. Further, the estimation of column (27) uses an IV. The IV itself is fine (used widely in the literature), I wonder why endogeneity matters. The dependent variable this time, SWB^hat, is basically predicted from the observable characteristics and unobservable factors cannot influence SWB^hat. Even if the authors continue using an IV, further information is needed, such as first-stage results, F-value, etc.

9. The authors used the 1:100 expansion, so the sample size should be multiples of 100. But I saw the sample size of 1245170, 1246489, etc. Why? Is the CHIPs data also used as samples without multiplication?

Other comments

10. The literature review and background sections were too lengthy, spanning from p7–p21. The authors should shorten these parts by reducing irrelevant information. Further, in these sections, citation is incorrect or simply missing in the reference list. For example, DiMaria and Sarracino (2019), Naghdi et al. (2014), and Stelzner (2021) are the in-text citation (pp7–8), but according to the reference list, they should be DiMaria and Sarracino (2020), Naghdi et al. (2021), and Stelzner (2022). In p15, World Bank (2015), NBS (1991; 2007), and Ministry of Ecology and Environment, PRC, 1996) are cited, but they do not appear in the reference list. These are just examples, and there are other papers inaccurately cited. Careful re-checking is needed.

11. In pp 19–21 where the theoretical channels are discussed, the authors explain the possibilities that environmental regulation can positively affect income, not only the possibility that the regulation hinders income. It is nice. But I think there is an additional channel: an improved health and environment quality increase the income by improving labor productivity and labor supply amount. There are a lot of studies examining this point, such as

Aragón, F.M., Miranda, J.J., Oliva, P., 2017. Journal of Environmental Economics and Management 86, 295–309.

Borgschulte, M., Molitor, D., Zou, E.Y., (forthcoming). The Review of Economics and Statistics.

Fu, S., Viard, V.B., Zhang, P., 2022.

Although this channel is not the main one this study considers, a brief mentioning to this channel may improve the clarity of the conceptual flow.

12. Estimation equations and variable notations need revision. Equation (1) is a linear equation and is not an ordered-choice equation. Equation (2) is the main second-stage equation, but it needs the term for fixed effects if fixed effects model is actually used in the results.

13. In p 27, the authors wrote “We use the ordered logit model to estimate Equation (1), and the result tells us, conditional on income, health and other individual, household and city characteristics,what’s the probability an individual will say good, fair, or poor when asked: “Do you feel happy now?”. To make the two data sets consistent, we convert the four-level rank in CHIP data to three levels: excellent is converted into good, good is converted into fair, and poor and very poor are converted into poor.” But what variable are you talking about? Context-wise, it sounds like the SWB level was converted, but this cannot be true because CHNS data do not have SWB and consistency does not matter? Are you talking about household income?

14. PSM is used in column (2), but more information is needed, such as the equation to estimate the PSM, matching method (nearest neighbor? Kernel? Or other?).

15. In Table 7, cities with high proportion of primary industry are labelled as “agricultural.” But it is counterintuitive that the TCZ policy worsened the SWB of people. But I think primary industry also includes mining. So it should be labelled as “agricultural and mining”. And it is very intuitive that the TCZ policy worsened the SWB of people in mining sector.

16. In p43, “In estimating Equation (8), we use […] we report the results in Column (27)”. But in equation (8), there is nothing to additionally estimate: beta^hat3 and beta^hat4 are estimated based on equations (3) and (4), and WTP^hat is calculated from equations (5)–(7). Perhaps the author examined an additional equation (not equation 8) and showed the results in column (27). Careful revision of the explanation is needed.

17. Further, the notation of ΔWTP^hat is a bit problematic. WTP^hat can take only the values of 1,2,3. So ΔWTP^hat being 649.499 confuses readers. ΔWTP^hat stands for “the monetized value of WTP changes”, so some other notation will be better.

18. Data availability statement states only the URL of the CHIP (which I could not access for some reason), but the authors used various other datasets. Further, these data sources are not cited in the reference (CHNS, NASA’s satellite data, etc). They should be cited. Data availability and reasons that data cannot be shared by the authors should be more clearly stated, instead of just writing the URL for CHIP dataset.

19. Language editing is needed. While overall the manuscript is written in good English, there are quite a lot of small mistakes (e.g. German instead of Germany). Wordy and lengthy parts can be shorten.

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PLoS One. 2026 Mar 12;21(3):e0342445. doi: 10.1371/journal.pone.0342445.r002

Author response to Decision Letter 1


5 Mar 2025

Dear editor,

Thank you for your email of 18 September 2024 concerning our manuscript “Wealth, Health, and Happiness: An Inverse Story of the Easterlin Paradox in China” (PONE-D-23-32960). We would like to thank you for the full consideration of our paper and sending us the comments of two reviewers. We have revised the paper according to yours and the reviewers’ suggestions, and mark the changed text in red.

The major revisions are summarized as follows:

1. We made a series of modifications to the methodology used in our research, specifically:

1) We no longer predict SWB across datasets, instead, we adopted the three steps approach suggested by you to evaluate the effect of TCZ policy.

2) We explore more details about how WTP changes over time and use the knowledge to provide robustness checks regarding the concern about period difference across data sets.

3) We used average log wage for staffs who work in the same industry and the same province as instrument variables for income.

2.We made a series of modifications in the Literature review and Background components, including:

1) We placed the literature review before the background as suggested.

2) We deleted several less relevant contents from these two parts.

3) We added several important literatures as suggested.

3.We had a professional editing of the paper. Now the writing has been substantially improved.

With this letter, we have resubmitted our manuscript which we would like to be considered for publication in Plos one. In order to facilitate the review of our revisions, we are attaching a detailed, comment by comment response to the two reviewers’ concerns.

If you need anything else, please do not hesitate to contact us.

Kind regards,

All authors

Response of Authors to the Comments of Editor.

Editor’s Comments:

1. The topic is interesting and you have

done a lot of work, but using CHIPS data's SWB information to predict SWB in

CHNS is problematic. Actually, you do not have to do so. I have the following

proposal to answer your research question without imputing SWB:

� estimate the effect of two-control zone policy on air pollution, wage, and health, this can be done using only CHNS;

� estimate the trade off between pollution (or health) and income, using only CHIPS, following Levison (2012).

� Combining both 1 and 2, you can still back up the net effect of (net willingness to pay for) the two-control zone policy, as you did in Table 8.

� You can use PSM method to predict individual's SWB in CHNS without inflating the sample size, and check if the effect for TCZ policy on imputed SWB matches your calculation in step 3, if you wish. But I don't think this is a must.

Authors’ Response:

Thank you for your valuable suggestions. That provides us with a good framework to address reviewers’ key concerns.

As suggested, we now choose to use a three-stage approach to combine information from CHNS data and CHIP data and to evaluate the total effect of TCZ policy on SWB.

“First, we use a typical difference in difference (DID) approach to estimate the effect of the TCZ policy on air pollution and residential income of affected cities.

For air pollution, we regress:

P_jpt=α_1+β_1 (〖TCZ〗_j×〖Post〗_t )+φ_1 W_jpt+δ_j+θ_t+μ_pt+ε_jt (1)

Here, P_jpt is the air pollution of city j (which locates in province p) at time t, measured by average ambient concentration of SO2 at the city level. 〖TCZ〗_j is a dummy variable indicating whether the observation is from a city covered by the TCZ policy (takes the value of 1 if it is) while 〖Post〗_t is a dummy variable indicating whether the observation is from the post-policy period (takes the value of 1 in the year 1998 and so after). β _1 is then the parameter of interest which illustrates the effect of TCZ policy on city air pollution. In this regression, we control a series of city level meteorological factors and economic factors such as temperature, precipitation and logarithm of local GDP, the city fixed effect δ_j, the time fixed effect θ_t, and the combined fixed effect at a higher dimension, i.e., μ_pt=〖Province〗_j×〖time〗_t. ε_jpt is a heteroskedasticity-robust standard error term.

For residential income, we regress:

R_ihcjpt=α_2+β_2 (〖TCZ〗_j×〖Post〗_t )+η_2 X_ihcjpt+ϕ_2 M_chjpt+ν_2 D_cjpt+φ_2 W_jpt+δ_j+θ_t+μ_pt+ε_ihcjpt (2)

Here, R_ihcjpt is the average monthly income of individual i at time t, where the individual is from household h and lives in the community c of city j in province p. X_ihcjpt is a series of individual level control variables including the education year, gender, ethnicity and age. M_chjpt is a series of household level control variables including family size and the household’s income. D_cjpt is a series of community level control variables including the population density and the market composition index. W_jpt, δ_j, θ_t and μ_pt are the same as in equation (1), and β _2 is the parameter of interest which indicates the effect of TCZ policy on monthly income of affected individuals. The above two regressions are estimated using the CHNS data.

Second, following the wisdom of Levinson (2012), Ambrey et al. (2014) and Zhang et al. (2017a, 2017b), we estimate residents’ WTP for improved air quality by exploring their trade-offs between economic benefit and environmental quality subject to the constraint that their SWB stay the same. Since both air quality and income might be correlated with factors which also influence SWB, we apply a series of instrumental variables to deal with potential endogeneity issues. We also use the methods adopted by the ordered choice models to take care of the potential problems from the discrete choice issues following Dolan et al. (2008), Diener et al. (2018) and Clark (2018).”

“We use a 2SLS approach to estimate this IV model. The 1st stage regressions are:

P_jpt=α_3+β_3 〖Days〗_jpt+γ_3 〖Wind〗_jpt+φ_3 W_jpt+δ_j+θ_t+μ_pt+ε_jt (3)

and:

lnR_ihjkpt=α_4+β_4 ln〖Wage〗_kpt+η_4 X_ihjt+ϕ_4 M_hjpt+φ_4 W_jpt+δ_j+θ_t+μ_pt+ε_ihjpt (4)

In equation (3), 〖Days〗_jpt is the weighted average of number of days in the year when the second layer of the atmosphere is warmer than the first layer and that when the third layer of the atmosphere is warmer than the first layer. The weight is 1:1. 〖Wind〗_jpt is the annual average wind speed of the city. In equation (4), lnR_ihjkpt is the log income of individual i at time t, where individual i is from household h, lives in the community c of city j in province p, and works for industry k. ln〖Wage〗_kpt is the average log wage for staffs who work in the same industry and the same province as individual i. Other control variables are the same as in equation (1) and (2).

In the 2nd stage, we regress the following ordered choice model:

〖SWB〗_ihjkpt=α_5+β_5 P _jpt+γ_5 ln⁡〖R _ihjkpt 〗+η_5 X_ihjpt+ϕ_5 M_hjpt+φ_5 W_jpt+δ_j+θ_t+μ_pt+ε_ihjpt (5)

Here, P _jpt are predicted through equation (3) while ln⁡〖R _ihjkpt 〗 are predicted from equation (4).”

“according to Levinson (2012), Ambrey et al. (2014) and Zhang et al. (2017a, 2017b), the WTP of affected residents on improved air quality (measured by reduced SO2 concentration) can be calculated by:

(WTP) =∂R/∂P |■(@@dSWB=0)┤=-R β _5/γ _5

Here, R is the average income of the sample. Equation (3)~(7) are estimated using the CHIP data.

Finally, with influence of TCZ policy on air pollution (β _1) and monthly income of affected residents (β _2) estimated in the first step and the residents’ WTP for less air pollution estimated in the second step, we can calculate the average net money value of TCZ policy on affected residents through:

Value(∆SWB)=β _1 (WTP) +β _2”

The related content can be found in page 22-27 of our replenished manuscript.

Response of Authors to the Comments of Reviewer #1

Reviewer’s Comments:

GENERAL COMMENTS

This paper proposes the environmental explanation to the Easterlin paradox. Using the survey data of CHNS and CHIP, the paper estimates the effect of Tow Control Zone policy on households’ subjective wellbeing with a difference-in-difference approach, and further calculate the households’ willingness to pay for the environment. In general, I feel that the paper is well-written, the ideas is clear and easy to follow. Yet, there are some concerns regarding the research design and the empirical approach that need to be addressed to pass on to the next step. Following are some of my comments.

Authors’ Response:

Thank you for all your nice comments and suggestions. Through the revisions, this paper has been substantially improved. We have revised the paper according to your comments. We hope you would find the revisions satisfactory.

MAJOR COMMENTS

1) Prediction of household subjective wellbeing (SWB). To derive the dependent variable of SWB, which is absent in the CHNS data, the authors construct a SWB function (model 1) to predict the SWB probability using another CHIP data. A key assumption underlying the approach is that the estimated SWB function is national representative, so that it can be transferred from one data to another. However, given the fact that the two datasets have different geographical coverage and time periods, it is hard for me to believe that households in the two datasets have the same preferences, and that you can transfer the SWB function from one group of households to another group of households. You should further justify the representativeness of the CHIP data and the appropriateness of your approach.

Authors’ Response:

Thank you for highlighting the potential issues regarding the use of CHIP data to construct the SWB function and its application to CHNS data. We appreciate your valuable suggestions, and we agree that trying to combine information from two data sets with different geographic areas and periods is challenging.

After carefully discussions around opinions from the editor and two reviewers, we have made following changes to our empirical strategy in identifying the comprehensive effects of TCZ policy on SWB.

First, we no longer trying to predict the SWB for CHNS interviewers using CHIP data. Instead, following the suggestion from the editor, we use a less complex approach to draw information from CHIP data and CHNS data. The main process are as follows:

“First, we use a typical difference in difference (DID) approach to estimate the effect of the TCZ policy on air pollution and residential income of affected cities.

For air pollution, we regress:

P_jpt=α_1+β_1 (〖TCZ〗_j×〖Post〗_t )+φ_1 W_jpt+δ_j+θ_t+μ_pt+ε_jt (1)

Here, P_jpt is the air pollution of city j (which locates in province p) at time t, measured by average ambient concentration of SO2 at the city level. 〖TCZ〗_j is a dummy variable indicating whether the observation is from a city covered by the TCZ policy (takes the value of 1 if it is) while 〖Post〗_t is a dummy variable indicating whether the observation is from the post-policy period (takes the value of 1 in the year 1998 and so after). β _1 is then the parameter of interest which illustrates the effect of TCZ policy on city air pollution. In this regression, we control a series of city level meteorological factors and economic factors such as temperature, precipitation and logarithm of local GDP, the city fixed effect δ_j, the time fixed effect θ_t, and the combined fixed effect at a higher dimension, i.e., μ_pt=〖Province〗_j×〖time〗_t. ε_jpt is a heteroskedasticity-robust standard error term.

For residential income, we regress:

R_ihcjpt=α_2+β_2 (〖TCZ〗_j×〖Post〗_t )+η_2 X_ihcjpt+ϕ_2 M_chjpt+ν_2 D_cjpt+φ_2 W_jpt+δ_j+θ_t+μ_pt+ε_ihcjpt (2)

Here, R_ihcjpt is the average monthly income of individual i at time t, where the individual is from household h and lives in the community c of city j in province p. X_ihcjpt is a series of individual level control variables including the education year, gender, ethnicity and age. M_chjpt is a series of household level control variables including family size and the household’s income. D_cjpt is a series of community level control variables including the population density and the market composition index. W_jpt, δ_j, θ_t and μ_pt are the same as in equation (1), and β _2 is the parameter of interest which indicates the effect of TCZ policy on monthly income of affected individuals. The above two regressions are estimated using the CHNS data.

Second, following the wisdom of Levinson (2012), Ambrey et al. (2014) and Zhang et al. (2017a, 2017b), we estimate residents’ WTP for improved air quality by exploring their trade-offs between economic benefit and environmental quality subject to the constraint that their SWB stay the same. Since both air quality and income might be correlated with factors which also influence SWB, we apply a series of instrumental variables to deal with potential endogeneity issues. We also use the methods adopted by the ordered choice models to take care of the potential problems from the discrete choice issues following Dolan et al. (2008), Diener et al. (2018) and Clark (2018).”

“We use a 2SLS approach to estimate this IV model. The 1st stage regressions are:

P_jpt=α_3+β_3 〖Days〗_jpt+γ_3 〖Wind〗_jpt+φ_3 W_jpt+δ_j+θ_t+μ_pt+ε_jt (3)

and:

lnR_ihjkpt=α_4+β_4 ln〖Wage〗_kpt+η_4 X_ihjt+ϕ_4 M_hjpt+φ_4 W_jpt+δ_j+θ_t+μ_pt+ε_ihjpt (4)

In equation (3), 〖Days〗_jpt is the weighted average of number of days in the year when the second layer of the atmosphere is warmer than the first layer and that when the third layer of the atmosphere is warmer than the first layer. The weight is 1:1. 〖Wind〗_jpt is the annual average wind speed of the city. In equation (4), lnR_ihjkpt is the log income of individual i at time t, where individual i is from household h, lives in the community c of city j in province p, and works for industry k. ln〖Wage〗_kpt is the average log wage for staffs who work in the same industry and the same province as individual i. Other control variables are the same as in equation (1) and (2).

In the 2nd stage, we regress the following ordered choice model:

〖SWB〗_ihjkpt=α_5+β_5 P _jpt+γ_5 ln⁡〖R _ihjkpt 〗+η_5 X_ihjpt+ϕ_5 M_hjpt+φ_5 W_jpt+δ_j+θ_t+μ_pt+ε_ihjpt (5)

Here, P _jpt are predicted through equation (3) while ln⁡〖R _ihjkpt 〗 are predicted from equation (4).”

“according to Levinson (2012), Ambrey et al. (2014) and Zhang et al. (2017a, 2017b), the WTP of affected residents on improved air quality (measured by reduced SO2 concentration) can be calculated by:

(WTP) =∂R/∂P |■(@@dSWB=0)┤=-R β _5/γ _5

Here, R is the average income of the sample. Equation (3)~(7) are estimated using the CHIP data.

Finally, with influence of TCZ policy on air pollution (β _1) and monthly income of affected residents (β _2) estimated in the first step and the residents’ WTP for less air pollution estimated in the second step, we can calculate the average net money value of TCZ policy on affected residents through:

Value(∆SWB)=β _1 (WTP) +β _2”

The related content can be found in page 22 - 27 of our replenished manuscript.

Second, we adopted a series of robustness checks regarding the inconsistency in time and area between the two data sets.

For time inconsistency:

“Fourth, one concern is that the CHIP data are collected in a period different from the year of the policy shock, therefore the WTP estimated from CHIP data may be different from that of the policy shock year, if WTP changes over time. In this sense, we recalculate WTP by taking account of this concern. More specifically, according to equation (7), the WTP is determined by its two components: the ratio β _5/γ _5 and the average income R . For the first component, we first regress equation (3) ~ (5) by year, to see how β _5/γ _5 changes overtime. Table 9 reports the by year results of equation (5).”

“As shown in the table, the β _5/γ _5 ratio takes a special high value in the year 2002(1.04), then it dramatically decreased to a level around 0.20 in the year 2007, 2008, and 2013, and does not show a clear time trend then. There are two possibilities which might lead to such phenomena. First, it is possible that before 2002, the ratio is fluctuating around 1.04, and then a structural change in the correlation happens sometime between 2002 and 2007 which result in a new stable ratio around 0.2. In this case, we should use 1.04 to approximate the ratio in th

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Submitted filename: Response to Reviewers.docx

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Decision Letter 1

Chih-Wei Tseng

4 Apr 2025

Dear Dr. Qiang,

Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the points raised during the review process.

Please submit your revised manuscript by May 19 2025 11:59PM. If you will need more time than this to complete your revisions, please reply to this message or contact the journal office at plosone@plos.org . When you're ready to submit your revision, log on to https://www.editorialmanager.com/pone/ and select the 'Submissions Needing Revision' folder to locate your manuscript file.

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  • A marked-up copy of your manuscript that highlights changes made to the original version. You should upload this as a separate file labeled 'Revised Manuscript with Track Changes'.

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If you would like to make changes to your financial disclosure, please include your updated statement in your cover letter. Guidelines for resubmitting your figure files are available below the reviewer comments at the end of this letter.

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We look forward to receiving your revised manuscript.

Kind regards,

Chih-Wei Tseng

Academic Editor

PLOS ONE

Additional Editor Comments:

Kindly address each of the reviewer’s comments individually, as outlined in the attached document.

[Note: HTML markup is below. Please do not edit.]

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

Reviewer #1: All comments have been addressed

Reviewer #2: All comments have been addressed

**********

2. Is the manuscript technically sound, and do the data support the conclusions??>

Reviewer #1: Yes

Reviewer #2: Partly

**********

3. Has the statistical analysis been performed appropriately and rigorously? -->?>

Reviewer #1: Yes

Reviewer #2: Yes

**********

4. Have the authors made all data underlying the findings in their manuscript fully available??>

The PLOS Data policy

Reviewer #1: Yes

Reviewer #2: No

**********

5. Is the manuscript presented in an intelligible fashion and written in standard English??>

Reviewer #1: Yes

Reviewer #2: Yes

**********

Reviewer #1: (No Response)

Reviewer #2: (No Response)

**********

what does this mean? ). If published, this will include your full peer review and any attached files.

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Reviewer #1: Yes: Huanxiu Guo

Reviewer #2: No

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Attachment

Submitted filename: Comments.docx

pone.0342445.s003.docx (24.2KB, docx)
PLoS One. 2026 Mar 12;21(3):e0342445. doi: 10.1371/journal.pone.0342445.r004

Author response to Decision Letter 2


19 May 2025

(We have uploaded a Word version of the response letter, in which the replies are presented more clearly)

Comments to the Author

GENERAL COMMENTS

The authors made a significant improvement to the manuscript. The methods are improved, and the results are presented in a logically organized manner compared to the previous manuscript.

Whereas I appreciate the improvement made by the authors, I still see several points that need to be clarified. Some of the points are related to methodologies, while some others are related to inaccurate, confusing explanations (and sometimes explanations are lacking, old sentences from the previous manuscript are remaining, etc). Thank you very much for your constructive comments and suggestions.

We have revised the manuscript carefully in response to your comments. We hope you find the revisions satisfactory.

MAJOR COMMENTS

1)Why don’t you use FE or RE for CHNS dataset?

The authors noted that CHNS data is a panel dataset. They further stated “the longitudinal essential of the data also allows us to better control for unobserved individual heterogeneity and the potential selection bias problem” in Section 4.1. However, based on the methods and results, the authors seemingly did not use individual/household FE to control these confounding factors. If there is a reason for not using the individual fixed effects and treating the CHNS panel as just a pooled dataset, then the authors should describe so and justify it. The authors also need to delete some of the sentences that sounds as if the authors are using FEs. Otherwise, it is straightforward to use individual FEs. Thank you very much for your insightful comment. We sincerely appreciate your suggestion regarding the use of individual fixed effects (FEs) for the CHNS dataset.

In our initial submission, we did not include individual fixed effects in the CHNS sample regressions, which may have led to potential concerns regarding unobserved heterogeneity. We acknowledge this as a methodological omission and have now addressed it in our revised manuscript. Specifically, we have re-estimated the relevant regressions using individual fixed effects, implemented via the “reghdfe” command in Stata. By including individual FEs, we are able to control for all time-invariant individual-specific characteristics, thereby improving the robustness of our estimates and better addressing potential selection bias.

In addition, as you rightly pointed out in your subsequent comment, we observed instability and theoretical inconsistency in the coefficient estimates of the GDP variable, which is likely due to multicollinearity. In response, we have removed GDP from all relevant equations to enhance the model’s clarity and focus.

Specifically, we add τ_i which represents individual fixed effect in equation (2). We also revised the related descriptions in Section 4.1:

“X_ihcjpt is a series of time-varying individual level control variables including years of education, age, and marital status. M_hcjpt is a series of household level control variables including family size and the household’s income. D_cjpt is a series of community level control variables including marketization score and transportation infrastructure score. τ_i is the individual fixed effect”.

Thank you again for your constructive feedback, which has helped us significantly improve the methodological rigor of our work.

2) Data description

Apart from the comment above, the description of the data sources is confusing. The authors wrote “We combine data from the following sources to generate a 6 years panel across 8 provinces, 40 cities (21 cities are TCZ cities and 19 are non-TCZ cities), 5,058 households and 19,538 individuals to accomplish our research targets” at the beginning of Section 4.1. But this is simply inaccurate. Firstly, the estimations based on the CHNS data have the sample sizes around 23,000 (Table 3), whereas those based on the CHIP data have the sample size of 20,887 (Table 4). Secondly, the area coverage and timing of these surveys are different. CHNS cover 10 provinces, whereas CHIP cover all provinces.

As the authors use two different datasets, the authors should describe the sample size and data coverage of each dataset separately. Thank you very much for pointing out the confusion in our data description. We appreciate your detailed and constructive comments. In response, we have made the following clarifications and revisions:

First, regarding the inconsistency in sample sizes, we acknowledge that our earlier description was unclear. For the CHNS-based estimations, the total number of observations used in our analysis is 27,561, covering 12,364 individuals from 4,632 households. Since CHNS is a longitudinal survey, the number of individuals is smaller than the total number of observations due to repeated measurements over time. For the CHIP-based estimations, the total number of observations is 22,199.

Second, we recognize that our original description inaccurately combined details from both datasets, which have different geographical coverage and time spans. CHNS covers selected provinces and provides panel data from 1991 to 2006, while CHIP includes broader geographic coverage and is based on pooled cross-sectional data from 2002, 2007, 2008, and 2013.

To correct this, we have revised the relevant paragraph on page 19. The original statement:

“We combine data from the following sources to generate a 6-year panel across 8 provinces, 40 cities (21 cities are TCZ cities and 19 are non-TCZ cities), 5,058 households and 19,538 individuals to accomplish our research targets.” has been replaced with: “In this research, we combine data from the following sources to accomplish our research targets.”

Details of the data coverage are moved to separate descriptions for each data source. More specifically, in the section introducing the CHNS data (page 21 of the revised manuscript), we add:

“The CHNS sample used in our analysis includes approximately 27,561 observations, covering 8 provinces and 40 cities (21 of which are TCZ cities and 19 are non-TCZ cities). It involves 4,632 households and 12,364 individuals, with data spanning from 1991 to 2006”.

On page 21 of the revised manuscript, which introduces the CHIP data, we add:

“The CHIP sample used in our analysis includes 22,199 observations, covering most regions across the country, with survey waves conducted in 2002, 2007, 2008, and 2013.”

We hope these clarifications address your concerns and improve the clarity and accuracy of our data description. Thank you again for your valuable suggestions.

3) IV regression between SWB, SO2 and wage (Table 4)

Firstly, I would like to confirm this point. In Table 4, only IVs and instrumented endogenous variables are shown. Did the authors use other variables but omit them from the table? The estimation equations (3)-(5) in Section 4.2 include other variables. Or did the authors actually not use any other variables? In other tables, the authors put notes like “Individual control YES”, so it seemed that the authors did not use any other variable in Table 4. I made the following comments, assuming that the authors did not use any other variables. Thank you very much for your insightful comment and for pointing out the ambiguity in our table presentation.

We would like to clarify that the estimations reported in Table 4 were indeed conducted based on Equations (3), (4), and (5), and all control variables included in these equations were used in the regressions. These include individual-level controls (e.g., age, gender, marital status), household-level controls (e.g., household income, household size), and city-level controls (e.g., temperature, precipitation).

However, we acknowledge that we failed to explicitly indicate the inclusion of these control variables in the original version of Table 4, which may have led to the misunderstanding. To address this, we have revised the table by adding appropriate notes: “Individual controls: YES; Household controls: YES; Weather controls: YES; Year FE: YES; City FE: YES; Province-by-year FE: YES” to clarify that these variables were included in the estimation. We have also presented the regression results of all control variables’ coefficients in Table A1 in the Appendix.

We appreciate your careful reading and helpful suggestions, and we believe these changes will improve the clarity and transparency of our presentation.

Then, the use of these IVs can have several problems. Thermal inversion and wind speed themselves can be nice IVs, but they are likely to be correlated to geographical characteristics (thermal inversion is generally more frequent in cold areas and wind speed can be stronger in, say, coastal areas). These characteristics are likely to be correlated to the local economic conditions and people’s SWB. So, to use these IVs, the city-level and province level characteristics, such as weather conditions and development levels, need to be controlled for. Thank you very much for raising this important concern regarding the validity of our instrumental variables.

To address the potential endogeneity arising from the correlation between thermal inversion, wind speed, and underlying geographical or socioeconomic characteristics, we have taken the following steps:

1) Control City Fixed Effects: We include city fixed effects in all IV regressions to account for time-invariant city-level characteristics, such as geography, location (e.g., coastal vs. inland). This helps to mitigate the concern that differences in geography or structural development could bias the IV estimates.

2) Include Province-Year Fixed Effects: To control for time-varying regional shocks and macroeconomic conditions that may influence both air pollution and SWB, we further include province-by-year fixed effects. This controls for province-level trends and annual shocks such as economic policy changes, infrastructure investment, or regional development initiatives.

3) Time-varying city level controls: In addition, we include time-varying weather variables (e.g., temperature, precipitation) at the city level to further mitigate any residual confounding related to short-term weather fluctuations that may affect both pollution levels and well-being.

We believe these strategies jointly address the concern of omitted variable bias and support the validity of our IV approach. Thank you again for your thoughtful and constructive feedback.

The average income as an IV is more questionable. Firstly, living in a high-income area itself can have a direct influence on SWB. Secondly, the average income can cause a residential sorting problem. For example, a high wage area can attract economy-oriented, young and high-skilled individuals who value monetary aspects of SWB greatly. Then the second-stage coefficient of the wage can reflect the effect of such residential sorting, not a pure effect of income on SWB. Thank you very much for your insightful comments regarding the use of provincial-level average industry wage as an instrumental variable for individual income.

We acknowledge the concerns that (1) average income may directly affect SWB, and (2) it may lead to residential sorting, thus violating the exclusion restriction. To address these issues, we have included a range of control variables in our model, including age, education level, marital status, household income, and household size. We apologize for not making this sufficiently clear in the previous version of the table.

In response to your comments, we have further included additional controls such as self-reported health status, city-level population size to better account for potential confounding effects related to regional development and individual health conditions. The updated results, reported in Table A2 of the Appendix, remain consistent with our baseline findings, suggesting that our main conclusions are robust to these concerns.

We greatly appreciate your constructive feedback, which helped us strengthen the empirical validity of our analysis.

Thus, to use these IVs as reliable exogenous factors, I suppose that the authors need to control for potential confounding factors. If the authors actually used other control variables and forgot to mention so, it is fine, but the coefficients of other variables should be provided. If the authors did not use any control variables, then they should add some variables and check if the results remain unchanged. Thank you very much for pointing out the importance of controlling for potential confounding factors when using instrumental variables (IVs).

We would like to clarify that we did include a comprehensive set of control variables in the IV regressions, but we apologize for not stating this clearly in the previous version of the manuscript. Specifically, we controlled for a variety of individual- and household-level characteristics, such as age, education, marital status, household income, and household size, to mitigate possible confounding effects. At the city level, we controlled for city fixed effects to account for time-invariant geographical and policy-related factors, as well as city-specific weather conditions (e.g., temperature and precipitation). In addition, we included province-by-year fixed effects to capture broader macroeconomic and environmental variations across time and regions.

Although these controls were included in the model estimation, we did not clearly report them in the table notes or results. In the revised version, we have now explicitly indicated the inclusion of control variables in the table captions and added the estimated coefficients of these controls in the appendix for transparency and completeness.

We greatly appreciate your careful review and helpful suggestions. We believe these revisions significantly improve the clarity and credibility of our empirical strategy.

4) A related question regarding the IV regression (Table 4)

Why is the sample size in column 1 just 4,224? It must be equal to the second stage result. Did you separately estimate these three equations? Thank you very much for your careful review.

The reason why the sample size in column 1 is different from that in column 3 is because the endogenous variable P_jpt (which is measured by SO2 concentration in city j of province p at time t) itself is a city level observation, while the independent variable 〖SWB〗_ihjkpt in the 2nd stage regression is an individual level measurement associated with individual i from household h. As a result, in the 1st stage regression regarding P_jpt(see Equation (3)), the observation is just 4,224, while in the 2nd stage regression regarding 〖SWB〗_ihjkpt(see Equation(5)), the observation is 22,199. In comparison, since the endogenous variable lnR_ihjkpt is also an individual variable associated with individual i from household h, in the 1st stage regression regarding this variable (see Equation (4) and Column (2)), the observation is 22,199, equals to that in the 2nd stage regression. To match the hierarchical structure of the data, we estimated the 2SLS IV model in two separate steps.

We appreciate your attention to this technical detail and hope this explanation clarifies the issue.

5) Estimation of wages (Table 3)

The authors regarded the column 4 as their main result and used it in the calculation of WTP and the monetary benefit of the TCZ policy. However, I wonder if the column 4 is the best specification.

Firstly, the coefficient of the TCZxPost in column 4 (-26.089) is quite different from those in the other three columns (-15.075 to -16.580). I wonder if the column 4 coefficient is robust.

The difference between column 4 and 3 is the addition of lnGDP. There is no detailed explanation for the definition of this variable, but I suppose that it is the city-level GDP (because the national GDP cannot be used with the year FE, and the province level GDP cannot be used with the province-year FE). Whatever the definition is, however, it is very counterintuitive that this variable has a negative coefficient on wage. It should be positive, at least theoretically. Is there a possibility that lnGDP is causing a multi-collinearity problem and consequently the coefficient of TCZxPost changed greatly?

I actually do not think that lnGDP

Attachment

Submitted filename: Response to Reviewers_V4.docx

pone.0342445.s004.docx (54.1KB, docx)

Decision Letter 2

Chih-Wei Tseng

22 Jun 2025

Dear Dr. Qiang,

Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the points raised during the review process.

Please submit your revised manuscript by Aug 06 2025 11:59PM. If you will need more time than this to complete your revisions, please reply to this message or contact the journal office at plosone@plos.org . When you're ready to submit your revision, log on to https://www.editorialmanager.com/pone/ and select the 'Submissions Needing Revision' folder to locate your manuscript file.

  • A rebuttal letter that responds to each point raised by the academic editor and reviewer(s). You should upload this letter as a separate file labeled 'Response to Reviewers'.

  • A marked-up copy of your manuscript that highlights changes made to the original version. You should upload this as a separate file labeled 'Revised Manuscript with Track Changes'.

  • An unmarked version of your revised paper without tracked changes. You should upload this as a separate file labeled 'Manuscript'.

If you would like to make changes to your financial disclosure, please include your updated statement in your cover letter. Guidelines for resubmitting your figure files are available below the reviewer comments at the end of this letter.

If applicable, we recommend that you deposit your laboratory protocols in protocols.io to enhance the reproducibility of your results. Protocols.io assigns your protocol its own identifier (DOI) so that it can be cited independently in the future. For instructions see: https://journals.plos.org/plosone/s/submission-guidelines#loc-laboratory-protocols . Additionally, PLOS ONE offers an option for publishing peer-reviewed Lab Protocol articles, which describe protocols hosted on protocols.io. Read more information on sharing protocols at https://plos.org/protocols?utm_medium=editorial-email&utm_source=authorletters&utm_campaign=protocols .

We look forward to receiving your revised manuscript.

Kind regards,

Chih-Wei Tseng

Academic Editor

PLOS ONE

[Note: HTML markup is below. Please do not edit.]

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

Reviewer #1: (No Response)

Reviewer #2: (No Response)

**********

2. Is the manuscript technically sound, and do the data support the conclusions??>

Reviewer #1: Yes

Reviewer #2: Partly

**********

3. Has the statistical analysis been performed appropriately and rigorously? -->?>

Reviewer #1: Yes

Reviewer #2: No

**********

4. Have the authors made all data underlying the findings in their manuscript fully available??>

The PLOS Data policy

Reviewer #1: Yes

Reviewer #2: Yes

**********

5. Is the manuscript presented in an intelligible fashion and written in standard English??>

Reviewer #1: Yes

Reviewer #2: Yes

**********

Reviewer #1: I appreciate the efforts made by the authors to address my previous comments. I feel that this version has been well improved. Yet, I still have some questions and suggestions for the authors.

1. I still don’t understand how did you conduct the IV estimation. Did you estimate Eq(3) and Eq(4) separately to predict P and R, or you estimate them all together? Since the set of control variables are different for Eq (3) and Eq (5), it may raise the concern of forbidden regression. Moreover, you should also report the results of weak instruments test and over-identification test to justify the validity of your instruments.

2. Is it possible to control for stricter fixed effect such as individual fixed effects in Eq (5)? The SWB equation is the base of all your calculation, which is very important to support your conclusion. Therefore, I would like to see more robustness checks about the SWB equation.

3. There are inconsistences in the terminology in the paper. For example, In Eq(2), the dependent variable is defined as the average monthly income of individual. However, in Table 3 and 4, the income becomes wage. You should keep the same terminology throughout the paper.

4. To improve the reading experience of the paper, I would suggest to put forward the analysis of SWB before the TCZ analysis. You should first estimate the willingness to pay for air pollution reduction, then proceed to estimate the reduction of air pollution by TCZ policy and calculate monetary value of related improvement of wellbeing.

5. Table 4 is very important, and have you included any control variables? It is not clear in the table. And all tables should have more detailed notes to make it self-readable.

Reviewer #2:

The manuscript was overall adequately revised, and unclear parts were mostly clarified. I also see that the authors have made substantial effort in language editing.

However, I have one major concern which may affect the entire conclusion and credibility of the study. Below, I explain the major concern, followed by minor comments.

Major concern

  1. My major concern is the 2SLS estimations. Well, the estimations that the authors call 2SLS but actually seems to be two-step OLS mimicking 2SLS. I initially asked the authors why the sample size in column 1 of Table 4, one of the two first-stages, is just 4,224, while the sample size of the second-stage result is 22,199. The author replied that the column 1 was done at the city-level while others were done at the individual level, implying that each equation was separately estimated. Based on this reply, while the authors call it 2SLS, what the authors actually did seems to be as follows. The second stage has two endogenous regressors (SO2 and wage, denoted by P and R). The authors first estimated the first stages by OLS, using IVs, and obtained the hat-values. Then they plugged the hat-values of the endogenous regressors into the second stage and estimated the second stage again by OLS. Although this is the idea that its name, two-stage least square, implies, the manual implementation like above is a classic mistake because the standard errors are not accurately estimated. The same approach was used in Tables 8 and 11, where the samples were divided by years, and in Tables 13–16, where heterogeneity is explored. Indeed, in the manuscript pp 26–27, these procedures were described, although the authors state “2SLS” but do not mention that they used OLS actually.

  2. The problem of this manual procedure mimicking 2SLS by OLS is that the standard errors are not accurately calculated (see e.g., Angrist and Pischke, Mostly Harmless Econometrics, Ch. 4.6 and Wooldridge, Econometric Analysis of Cross Section and Panel Data, Ch. 5.1). Almost always the standard errors are underestimated, making the coefficient of the endogenous regressor overly significant. The authors should use a command for 2SLS, such as ivregress and ivreg2—you are using stata, right? I wonder if the coefficients of endogenous regressors, particularly that of SO2, remain significant after you properly conduct 2SLS with these commands.

  3. The authors seem to have a concern that SO2 variable is only at city level and the first stage for SO2 should not be done at individual level, which is the reason that they tried the mimicked 2SLS method. But this is not a concern at all. The authors can simply use ivreg or ivreg2, conducting the first stage for SO2 also at individual level.

  1. In addition, applying this procedure to the heterogeneity analyses (column 3 of Tables 13–16), the authors seem to make a mistake of forbidden regression. I take Table 13 as an example, but the same concerns apply to all other tables. Although the authors do not use the terms “2SLS” and “IV” in the explanations of the equations (11)–(13), the method is actually the same mimicked 2SLS conducted by OLS. There are for endogenous regressors, P, P*developed, R, and R*developed. The authors seemingly used the same P-hat and R-hat as above. And then they interacted P-hat and R-hat with the “developed” dummy variable, and plugged P-hat, R-hat, P-hat*developed and R-hat*developed into the second stage and ran OLS. This is a classic example of forbidden regression.

  2. This inappropriate procedure may be the reason that none of the coefficients of the interaction terms, P*developed and R*developed (Table 13) to P*educated and R*educated (Table 16) are significant.

  3. Instead, if there are four endogenous regressors, P, P*developed, R, and R*developed, then there must be four first stages, where each endogenous variable is the dependent variable. As the number of IVs are not enough if only Day, Wind, and Avgwage are used as IVs, the authors may use Day*developed, Wind*developed, and R*developed as additional IVs. And these procedures should be done by ivregress, ivreg2 or other appropriate commands, not mimicking 2SLS by OLS.

  4. If the interaction terms still do not provide significant coefficients even after appropriate procedure, you may simply drop these heterogeneity analyses.

  1. The other major concerns I raised in the previous review were mostly clarified. However, this major concern is quite a large one. I was not sure at the moment of the previous review whether the explanation in the text is wrong (but the method is accurate) or the method itself has a problem, but it now turns out that the method has the problem of the mimicked-2SLS and forbidden regression.

  2. Appropriate re-estimations may affect the significance of the coefficients. In particular, the coefficient of SO2 on SWB in Table 4 is significant at a merely 10% level as of now, and if it remains significant is not clear. This coefficient is of particular importance because it is the main evidence for the inverse logic of the environmental explanation of Easterlin’s Paradox.

  3. By the way, just in case the appropriate 2SLS does not provide a significant effect of SO2, I am not sure why the endogeneity of SO2 level is a concern in the first place. The authors only note that “Since both air quality and income might be correlated with factors which also influence SWB, we apply a series of instrumental variables to deal with potential endogeneity issues (p25)” and do not argue what kind of unobservable factors confounds the relationship. But is there really any major factor that still affects both SWB and SO2 even after controlling for individual and household characteristics, city FE, and region-year FE? So, one possibility, if the appropriate 2SLS does not provide a significant effect, would be to treat SO2 as exogenous regressor, assuming that potential confounding factors are controlled by FEs. Indeed, Levinson (2012) uses IV only for income and treats pollution as exogenous. I do not know if this approach provides a desired result, but it is better than two-step OLS mimicking 2SLS.

Minor comments

  1. The sample size must be provided in Tables 7, 8, 10, 11, 13–16. In addition, the author should explain what variables are used but omitted in these tables. As for Table 7, I commented before that the demonstration of YES rows and sample sizes were confusing, but I did not recommend you to completely remove them. You may attach notes below the table explaining the sample sizes and the control variables that were used but omitted. You explained these things in text, but it should also be clarified in tables.

  2. Table 6 (effects of TCZ on health) and Table 7 (effects of health on SWB) are currently demonstrated in the subsection “Robustness Checks”, but they are not robustness checks. So, you may set up an additional subsection entitled “Mechanisms” or “Health Channel” or whatever and demonstrate them after Table 12—this is not mandatory, however.

  3. Regarding the heterogeneity analyses, despite the insignificant differences between groups, the authors describe as if there are differences. For example, regarding the heterogeneity with respect to initial pollution (Table 14), while the authors state that “the effects of the policy shock are not significantly different across high- and low-pollution cities ,” they also state that “Residents in high pollution cities exhibit a lower WTP for pollution reduction ” (both p45). The authors also state in the conclusion that “in terms of initial pollution level, it is stronger when the affected city has higher initial pollution level (p49)”. Well, the WTP differs slightly (287 vs. 337), but this difference reflects the insignificant coefficients of interaction terms—or, in other words, the insignificant coefficients of interaction terms were treated as if they were significantly different from zero. Thus, it is unfair to conclude “stronger when the affected city has higher initial pollution level ” as in the conclusion. The same applies to other heterogeneity analyses—although the results themselves may change if you appropriately avoid the methodological problems pointed out above.

  4. Capitalization: Some table headings are capitalized (e.g., Table 2. The Impact of Regulation on SO2) whereas some others are not (e.g., Table 4. The relationship between income, air quality and SWB). Be consistent.

  5. In addition, although I acknowledge that the authors made significant language editing, further language editing may be needed. For example, there is an incomplete sentence in pp11-12, “With pooled cross-sectional data covering 214 cities in 22 provinces of China over the years 2002-2013. This dataset matches air pollution and…

**********

what does this mean? ). If published, this will include your full peer review and any attached files.

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Do you want your identity to be public for this peer review? For information about this choice, including consent withdrawal, please see our Privacy Policy

Reviewer #1: No

Reviewer #2: No

**********

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While revising your submission, please upload your figure files to the Preflight Analysis and Conversion Engine (PACE) digital diagnostic tool, https://pacev2.apexcovantage.com/ . PACE helps ensure that figures meet PLOS requirements. To use PACE, you must first register as a user. Registration is free. Then, login and navigate to the UPLOAD tab, where you will find detailed instructions on how to use the tool. If you encounter any issues or have any questions when using PACE, please email PLOS at figures@plos.org . Please note that Supporting Information files do not need this step.

Attachment

Submitted filename: CommentsR2.docx

pone.0342445.s005.docx (21.2KB, docx)
PLoS One. 2026 Mar 12;21(3):e0342445. doi: 10.1371/journal.pone.0342445.r006

Author response to Decision Letter 3


5 Dec 2025

(We have uploaded a Word version of the response letter, in which the replies are

presented more clearly)

Response of Authors to the Comments of Reviewer #1

Comments to the Author

GENERAL COMMENTS

I appreciate the efforts made by the authors to address my previous comments. I feel that this version has been well improved. Yet, I still have some questions and suggestions for the authors.

Thank you very much for your encouraging comments and constructive suggestions. We greatly appreciate your recognition of our previous efforts. We have revised the manuscript carefully in response to your remaining comments. We hope you find the revisions satisfactory.

MAJOR COMMENTS

1) I still don’t understand how did you conduct the IV estimation. Did you estimate Eq(3) and Eq(4) separately to predict P and R, or you estimate them all together? Since the set of control variables are different for Eq (3) and Eq (5), it may raise the concern of forbidden regression. Moreover, you should also report the results of weak instruments test and over-identification test to justify the validity of your instruments.

Thank you for your insightful comment on the instrumental variable (IV) estimation approach, we apologize for the ambiguity in our previous submission that led to your confusion. To address your questions directly:

IV estimation method: Initially, we estimated Eq. (3) and Eq. (4) separately to predict Pollution and Wage. However, we recognize that the different sets of control variables across Eq. (3) and Eq. (5) may may lead to issues related to forbidden regressions, mainly because the previous implementation relied on manually generated fitted values. To address this properly, we now use ivreg2, which automatically performs the correct two-stage least squares estimation and computes valid standard errors.

Weak instrument test: We have supplemented the weak instrument test results in Table 4, including the Cragg-Donald Wald F-statistic (value: 165.782) and the Kleibergen-Paap rk Wald F statistic (value: 140.884). Since these F-statistics far exceed the conventional critical values, the test confirms that our instrument is not weak, validating its relevance.

Over-identification test: In the updated model, we adopt a just-identified specification (one instrumental variable for one endogenous variable: only personal wage is treated as endogenous, while air pollution is treated as relatively exogenous). Over-identification tests (such as the Sargan-Hansen test) require more instruments than endogenous variables to assess instrument exogeneity. As our model is just-identified, this test is not applicable. We have clarified this model setting in the manuscript (p. 26-27) to avoid confusion.

Thank you again for your constructive feedback-this revision has significantly enhanced the methodological rigor and transparency of our work.

2) Is it possible to control for stricter fixed effect such as individual fixed effects in Eq (5)? The SWB equation is the base of all your calculation, which is very important to support your conclusion. Therefore, I would like to see more robustness checks about the SWB equation.

Thank you for your valuable suggestion regarding the robustness of the SWB equation (formerly Eq. 5, now Eq. 4). We fully agree that this equation is foundational to our conclusions.

Regarding the feasibility of adding individual fixed effects: We regret that this is not available for Eq. (4), as the estimation relies on CHIP data, which is pooled cross-sectional data (rather than panel data). Individual fixed effects control for time-invariant unobserved heterogeneity of the same individuals over multiple periods, which requires repeated observations of the same individuals across different time waves.

Although individual fixed effects cannot be used due to the pooled cross-sectional nature of the CHIP data, we conducted several robustness checks-such as year-interacted specifications and geographic restrictions-to verify that the estimates from Eq. (4) remain stable.

The results of these robustness checks confirm that our core findings from Eq. (4) remain consistent and reliable. Thank you again for helping us strengthen the rigor of our analysis.

3) There are inconsistences in the terminology in the paper. For example, In Eq(2), the dependent variable is defined as the average monthly income of individual. However, in Table 3 and 4, the income becomes wage. You should keep the same terminology throughout the paper.

Thank you for pointing out the terminology inconsistency-this is a key detail for clarity, and we appreciate your careful review.

We note that the variable in question (covering annual wage, bonus, and other income from the job) is more accurately defined as income (rather than narrow wage). To resolve the inconsistency:

We have revised all instances of wage in Tables 3, 4, and the corresponding text to R (consistent with the definition in Eq. 2: average monthly income of individual).

We have double-checked the entire manuscript to ensure this terminology is applied uniformly across equations, tables, and descriptions.

This revision aligns the terminology with the actual scope of the variable and eliminates confusion. Thank you again for your meticulous feedback.

4) To improve the reading experience of the paper, I would suggest to put forward the analysis of SWB before the TCZ analysis. You should first estimate the willingness to pay for air pollution reduction, then proceed to estimate the reduction of air pollution by TCZ policy and calculate monetary value of related improvement of wellbeing.

Thank you for your thoughtful suggestion regarding the manuscript’s structure. We truly value your input on improving the reading experience.

After carefully considering your suggestion to present the SWB analysis before the TCZ analysis, we respectfully propose to maintain the current structure for the following reasons, which we believe best serve the logical flow of the research:

The core objective of our study is to examine the causal mechanism of how the TCZ policy (an environmental intervention) affects subjective well-being (SWB). The current organization aligns strictly with this causal chain:

1) Policy Evaluation: We first verify that the TCZ policy effectively reduces air pollution and income (TCZ analysis).

2) Impact Mechanism: We then estimate how this reduction in air pollution and income impacts SWB (SWB equation).

3) Valuation: finally, based on these links, we calculate the Willingness to Pay (WTP) for pollution reduction to quantify the welfare effect.

This order is designed to guide readers naturally from the policy intervention → environmental outcome

→ well-being impact → economic valuation. Placing the SWB analysis first might disrupt this narrative of evaluating a specific policy's welfare effect.

We hope this explanation clarifies the rationale behind our structural choice, and we appreciate your understanding. Thank you again for your valuable feedback.

5) Table 4 is very important, and have you included any control variables? It is not clear in the table. And all tables should have more detailed notes to make it self-readable.

Thank you for your constructive suggestion to improve the clarity of the tables, we fully agree that detailed notes and transparent variable reporting are critical for readability. In response to your concern:

For Table 4: We have revised the table to explicitly include the regression results of control variables (which were previously omitted for brevity) and supplemented the note to clarify this. The updated note for Table 4 now reads: Table 4 reports the estimation results of Equation (3) and Equation (4). Column (1) presents the first-stage IV regression corresponding to Equation (3). The Cragg-Donald Wald F statistic (165.782) and the Kleibergen-Paap rk Wald F statistic (140.884) both exceed conventional thresholds, indicating that the instrument is strongly identified. Column (2) reports the second-stage IV estimates corresponding to Equation (4). (We have also adjusted the table layout to display these control variable coefficients.)

For all tables: We have added detailed self-explanatory notes to each table, which clarify:

1) The corresponding equation for each table;

2) The specification of each column (e.g., time function, fixed effects);

3) Key statistical details (e.g., robust standard errors, significance levels);

4) Supplementary information (e.g., WTP calculation basis in Table 8).

These revisions ensure that each table is self-contained and easy to interpret without relying on the main text. We have checked all tables to confirm the notes align with the results. Thank you again for your meticulous feedback.

Response of Authors to the Comments of Reviewer #2

Comments to the Author

GENERAL COMMENTS

The manuscript was overall adequately revised, and unclear parts were mostly clarified. I also see that the authors have made substantial effort in language editing.

However, I have one major concern which may affect the entire conclusion and credibility of the study. Below, I explain the major concern, followed by minor comments. Thank you very much for your positive overall evaluation of our revised manuscript and for acknowledging our efforts in clarification and language editing. We greatly appreciate the time and care you have devoted to reviewing our work.

We also recognize the major concern you raised regarding the 2SLS estimation procedure. We take this issue very seriously. Below, we address your concern point-by-point and detail the corresponding revisions made to the manuscript.

Major concern

1) My major concern is the 2SLS estimations. Well, the estimations that the authors call 2SLS but actually seems to be two-step OLS mimicking 2SLS. I initially asked the authors why the sample size in column 1 of Table 4, one of the two first-stages, is just 4,224, while the sample size of the second-stage result is 22,199. The author replied that the column 1 was done at the city-level while others were done at the individual level, implying that each equation was separately estimated. Based on this reply, while the authors call it 2SLS, what the authors actually did seems to be as follows. The second stage has two endogenous regressors (SO2 and wage, denoted by P and R). The authors first estimated the first stages by OLS, using IVs, and obtained the hat-values. Then they plugged the hat-values of the endogenous regressors into the second stage and estimated the second stage again by OLS. Although this is the idea that its name, two-stage least square, implies, the manual implementation like above is a classic mistake because the standard errors are not accurately estimated. The same approach was used in Tables 8 and 11, where the samples were divided by years, and in Tables 13–16, where heterogeneity is explored. Indeed, in the manuscript pp 26–27, these procedures were described, although the authors state “2SLS” but do not mention that they used OLS actually.

2) The problem of this manual procedure mimicking 2SLS by OLS is that the standard errors are not accurately calculated (see e.g., Angrist and Pischke, Mostly Harmless Econometrics, Ch. 4.6 and Wooldridge, Econometric Analysis of Cross Section and Panel Data, Ch. 5.1). Almost always the standard errors are underestimated, making the coefficient of the endogenous regressor overly significant. The authors should use a command for 2SLS, such as ivregress and ivreg2—you are using stata, right? I wonder if the coefficients of endogenous regressors, particularly that of SO2, remain significant after you properly conduct 2SLS with these commands.

3) The authors seem to have a concern that SO2 variable is only at city level and the first stage for SO2 should not be done at individual level, which is the reason that they tried the mimicked 2SLS method. But this is not a concern at all. The authors can simply use ivreg or ivreg2, conducting the first stage for SO2 also at individual level.

4) In addition, applying this procedure to the heterogeneity analyses (column 3 of Tables 13-16), the authors seem to make a mistake of forbidden regression. I take Table 13 as an example, but the same concerns apply to all other tables. Although the authors do not use the terms “2SLS” and “IV” in the explanations of the equations (11)-(13), the method is actually the same mimicked 2SLS conducted by OLS. There are for endogenous regressors, P, P*developed, R, and R*developed. The authors seemingly used the same P-hat and R-hat as above. And then they interacted P-hat and R-hat with the “developed” dummy variable, and plugged P-hat, R-hat, P-hat*developed and R-hat*developed into the second stage and ran OLS. This is a classic example of forbidden regression.

5) This inappropriate procedure may be the reason that none of the coefficients of the interaction terms, P*developed and R*developed (Table 13) to P*educated and R*educated (Table 16) are significant.

6) Instead, if there are four endogenous regressors, P, P*developed, R, and R*developed, then there must be four first stages, where each endogenous variable is the dependent variable. As the number of IVs are not enough if only Day, Wind, and Avgwage are used as IVs, the authors may use Day*developed, Wind*developed, and R*developed as additional IVs. And these procedures should be done by ivregress, ivreg2 or other appropriate commands, not mimicking 2SLS by OLS.

7) If the interaction terms still do not provide significant coefficients even after appropriate procedure, you may simply drop these heterogeneity analyses.

8) The other major concerns I raised in the previous review were mostly clarified. However, this major concern is quite a large one. I was not sure at the moment of the previous review whether the explanation in the text is wrong (but the method is accurate) or the method itself has a problem, but it now turns out that the method has the problem of the mimicked-2SLS and forbidden regression.

9) Appropriate re-estimations may affect the significance of the coefficients. In particular, the coefficient of SO2 on SWB in Table 4 is significant at a merely 10% level as of now, and if it remains significant is not clear. This coefficient is of particular importance because it is the main evidence for the inverse logic of the environmental explanation of Easterlin’s Paradox.

10) By the way, just in case the appropriate 2SLS does not provide a significant effect of SO2, I am not sure why the endogeneity of SO2 level is a concern in the first place. The authors only note that “Since both air quality and income might be correlated with factors which also influence SWB, we apply a series of instrumental variables to deal with potential endogeneity issues (p25)” and do not argue what kind of unobservable factors confounds the relationship. But is there really any major factor that still affects both SWB and SO2 even after controlling for individual and household characteristics, city FE, and region-year FE? So, one possibility, if the appropriate 2SLS does not provide a significant effect, would be to treat SO2 as exogenous regressor, assuming that potential confounding factors are controlled by FEs. Indeed, Levinson (2012) uses IV only for income and treats pollution as exogenous. I do not know if this approach provides a desired result, but it is better than two-step OLS mimicking 2SLS.

Thank you very much for your careful and constructive comments on our IV strategy. We truly appreciate the precision with which you identified the issues in our previous implementation. Following your suggestions, we have undertaken a full revision of all empirical estimations involving instrumental variables. Below, we provide a point-by-point response.

1) Correction of the 2SLS implementation

We sincerely appreciate you pointing out the methodological flaw in our previous manual “two-step OLS” procedure. As advised, we have re-estimated all specifications that involve instrumental variables (Tables 4, 8, 10 and the heterogeneity tables) using ivreg2 in Stata, which correctly estimates the first and second stages jointly and provides valid standard errors.

All results previously based on manual 2-step OLS have been removed and replace

Attachment

Submitted filename: Response_to_Reviewers_auresp_3.docx

pone.0342445.s006.docx (45.8KB, docx)

Decision Letter 3

Chih-Wei Tseng

19 Dec 2025

Dear Dr. Qiang,

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PLOS One

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Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

Reviewer #1: All comments have been addressed

Reviewer #2: All comments have been addressed

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Reviewer #1: Yes

Reviewer #2: Partly

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Reviewer #2: Yes

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Reviewer #1: Yes

Reviewer #2: Yes

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Reviewer #2: Yes

**********

Reviewer #1: The paper is well revised and the authors have addressed all my comments, I think the paper is ready for publication.

Reviewer #2: The authors addressed the methodological concerns. The overall methodologies are fair.

I suggested in the previous review that the authors may quit instrumenting the SO2 level. The authors previously instrumented it (but in an inappropriate method mimicking 2SLS). The authors admitted that, after using a correct 2SLS method, the significance of the coefficient of SO2 on SWB disappeared, and they chose not to instrument SO2. Certainly, a method that appropriately account for the endogeneity of air pollution is preferrable. However, I at least believe that a method treating SO2 level as exogenous is better than an inappropriate method that wrongly provides a seemingly good result.

The authors also improved the interpretation of their results and removed overstating claims, which I positively evaluate.

Meanwhile, the authors also made various other methodological changes that neither I nor the other reviewer suggested. Making such changes itself is fine if it improves the quality of the study. However, the appropriateness of some of these changes is questionable at times. Below are the main concerns.

1. What is the reason that the sample size changed from the previous version? The observation size for city-level estimations increased from 680 to 745 (Table 2), that in the CHNS based estimations decreased from 27,561 to 11,088 (Table 3) and that in the CHIP based estimations slightly increased from 22,199 to 23,187. The change of the CHNS based estimations is particularly drastic. What is the reason? Did you change the sample criteria? Or, considering the errors having occurred in the previous manuscript, are the sample sizes correct?

2. The addition of P*f(t) in Tables 2, 3 and 6 is questionable. P is the pre-TCZ SO2 emission. This is particularly questionable in Table 2 in which the dependent variable is the SO2 level. The authors previously did not add such a term and used only year FE, city FE, and province-by-year FE, which worked. What is the reason that the authors made this change? The authors explain that they added this term to “control for differential pre-policy trends associated with initial pollution levels (p24)” but it was not necessary in the previous version. Even if the authors try this method, the authors should also show the results in which P*f(t) is not added. In addition, the authors show the parallel trends in Figures 3 and 4, meaning that the differential pre-policy trends are not really a concern. Therefore, the authors should try a model without P*f(t) first and then may try models with P*f(t) as a robustness check.

3. Why did the authors include individual FE for balancing test? It is obvious that the differences in individual and household characteristics disappears once you add individual FE, because it basically absorbs any time-invariant individual-level characteristics. And if you are using a panel dataset in a FE model, the sample balance is not a concern. This table is simply unnecessary.

**********

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PLoS One. 2026 Mar 12;21(3):e0342445. doi: 10.1371/journal.pone.0342445.r008

Author response to Decision Letter 4


22 Jan 2026

Response of Authors to the Comments of Reviewer #1

GENERAL COMMENTS

The paper is well revised and the authors have addressed all my comments, I think the paper is ready for publication.

We sincerely thank the reviewer for the positive evaluation of our manuscript. We greatly appreciate the time and thoughtful comments provided throughout the review process.

Response of Authors to the Comments of Reviewer #2

GENERAL COMMENTS

The authors addressed the methodological concerns. The overall methodologies are fair.

I suggested in the previous review that the authors may quit instrumenting the SO2 level. The authors previously instrumented it (but in an inappropriate method mimicking 2SLS). The authors admitted that, after using a correct 2SLS method, the significance of the coefficient of SO2 on SWB disappeared, and they chose not to instrument SO2. Certainly, a method that appropriately account for the endogeneity of air pollution is preferrable. However, I at least believe that a method treating SO2 level as exogenous is better than an inappropriate method that wrongly provides a seemingly good result.

The authors also improved the interpretation of their results and removed overstating claims, which I positively evaluate.

Meanwhile, the authors also made various other methodological changes that neither I nor the other reviewer suggested. Making such changes itself is fine if it improves the quality of the study. However, the appropriateness of some of these changes is questionable at times. Below are the main concerns.

We sincerely thank the reviewer for the careful evaluation of our revised manuscript and for the constructive feedback provided in the previous and current rounds of review.

Regarding the treatment of SO₂, we agree with your assessment that an appropriately specified model treating SO₂ as exogenous is preferable to an incorrect IV approach, and we have revised the analysis accordingly.

We also acknowledge your concern regarding the additional methodological changes introduced in this revision. These changes were intended to improve the analysis, and we address each of the specific points you raise below.

Major concern

1) What is the reason that the sample size changed from the previous version? The observation size for city-level estimations increased from 680 to 745 (Table 2), that in the CHNS based estimations decreased from 27,561 to 11,088 (Table 3) and that in the CHIP based estimations slightly increased from 22,199 to 23,187. The change of the CHNS based estimations is particularly drastic. What is the reason? Did you change the sample criteria? Or, considering the errors having occurred in the previous manuscript, are the sample sizes correct?

We sincerely thank the reviewer for raising this important question regarding the changes in sample sizes across revisions. Below, we clarify the reasons for each change and confirm that the current samples are correctly constructed and consistent with the revised empirical specifications.

City-level estimations (Table 2: 680 → 745).

In the revised version, we expanded the city-level sample by incorporating additional cities from Heilongjiang Province that were inadvertently omitted in the previous data-matching procedure. This correction improves regional coverage and results in a more complete and representative city-level dataset.

CHNS-based estimations (Table 3: 27,561 → 11,088).

In the previous version, we imputed income using the employment status to increase sample size (e.g., assigning zero income to non-employed individuals). In the revised analysis, we use only income values directly reported in the CHNS and do not impute income based on employment status, which reduces the sample size but improves measurement accuracy.

CHIP-based estimations (Table 4: 22,199 → 23,187).

In the earlier version, observations with zero income were dropped mechanically due to the logarithmic transformation of income. In the revised version, we retain these observations by adding a small constant (0.0001) to income values prior to taking logarithms, which allows us to preserve zero-income observations without materially affecting the estimation results.

Overall, these changes reflect improved data handling and greater internal consistency between variable construction and the empirical specifications. The reported sample sizes follow directly from the updated data construction and processing procedures described above.

2) The addition of P*f(t) in Tables 2, 3 and 6 is questionable. P is the pre-TCZ SO2 emission. This is particularly questionable in Table 2 in which the dependent variable is the SO2 level. The authors previously did not add such a term and used only year FE, city FE, and province-by-year FE, which worked. What is the reason that the authors made this change? The authors explain that they added this term to “control for differential pre-policy trends associated with initial pollution levels (p24)” but it was not necessary in the previous version. Even if the authors try this method, the authors should also show the results in which P*f(t) is not added. In addition, the authors show the parallel trends in Figures 3 and 4, meaning that the differential pre-policy trends are not really a concern. Therefore, the authors should try a model without P*f(t) first and then may try models with P*f(t) as a robustness check.

We sincerely thank the reviewer for this thoughtful and constructive comment regarding the inclusion of the interaction term P×f(t), where P denotes pre-policy SO₂ emissions.

We agree that in many DID applications, models with only unit and time fixed effects can be sufficient when the parallel trends assumption holds. However, in the case of the TCZ policy, city selection was explicitly based on pre-policy pollution severity, which raises concerns about heterogeneous pre-treatment trends across cities with different initial pollution levels.

In this sense, we follow the most recent DID practices (e.g., Li et al., 2016; Liu et al., 2025), and include P×f(t) to flexibly control for potential trend heterogeneity linked to initial SO₂ levels.

In response to your kind suggestion, we also added the estimation results and parallel trend tests from the specifications without P×f(t) in Appendix A (Tables A1–A2 and Figures A1–A2), and added a footnote in the main text to explicitly inform readers of these alternative specifications. In these results, we find that when P×f(t) is excluded, the pre-treatment trend for the logarithm of income is not parallel, and the estimated effect of the TCZ policy on SO₂ is counterintuitively positive. In contrast, once P×f(t) is included, both problematic phenomena are addressed. We therefore view the inappropriate results in the P×f(t) excluded models as outcomes of unaccounted heterogeneous trends and recommend the results from the P×f(t) included models in the main text as credible policy effects.

We sincerely appreciate the reviewer’s constructive suggestion, which has helped us clarify and strengthen our empirical strategy.

3) Why did the authors include individual FE for balancing test? It is obvious that the differences in individual and household characteristics disappears once you add individual FE, because it basically absorbs any time-invariant individual-level characteristics. And if you are using a panel dataset in a FE model, the sample balance is not a concern. This table is simply unnecessary.

We sincerely thank the reviewer for this insightful comment.

The purpose of this balancing test is not to assess sample balance in the conventional sense. Rather, following Tanaka (2015) and Wang et al. (2024), it serves as a supplementary diagnostic to examine whether the TCZ policy variable is systematically correlated with observable time-varying individual-, household-, and city-level characteristics, conditional on individual fixed effects and time controls. This provides additional descriptive evidence on the plausibility of “local randomness” with respect to time-varying covariates.

To streamline the presentation and avoid confusion, we have moved this table to the Appendix and clearly describe it as supplementary evidence. We are also happy to remove it entirely if the editor deems it unnecessary.

Attachment

Submitted filename: Response_to_Reviewers_auresp_4.docx

pone.0342445.s007.docx (32.7KB, docx)

Decision Letter 4

Chih-Wei Tseng

26 Jan 2026

Wealth, health, and happiness: An inverse story of the Easterlin Paradox in China

PONE-D-23-32960R4

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PLOS One

Additional Editor Comments (optional):

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

Reviewer #2: All comments have been addressed

**********

2. Is the manuscript technically sound, and do the data support the conclusions??>

Reviewer #2: Yes

**********

3. Has the statistical analysis been performed appropriately and rigorously? -->?>

Reviewer #2: Yes

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Reviewer #2: The authors addressed all questions that I raised in the previous review. The manuscript is ready for publication.

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Reviewer #2: No

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Acceptance letter

Chih-Wei Tseng

PONE-D-23-32960R4

PLOS One

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Associated Data

    This section collects any data citations, data availability statements, or supplementary materials included in this article.

    Supplementary Materials

    S1 Appendix. Additional tables and figures, including regression results without the P×f(t) interaction term, parallel trend tests, and balancing tests for time-varying covariates.

    (DOCX)

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    Data Availability Statement

    All data used in this study are publicly available: The China Health and Nutrition Survey (CHNS) data can be downloaded from the official repository at https://dataverse.unc.edu/dataverse/chns The China Household Income Project (CHIP) data is accessible via application at the official platform: https://bs.bnu.edu.cn/zgjmsrfpdcsjk/sjsq/index.html The SO₂ emission data is available for download from the EDGAR database at https://edgar.jrc.ec.europa.eu/dataset_ap81.


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