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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Earth Sci.</journal-id>
<journal-title>Frontiers in Earth Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Earth Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-6463</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1073276</article-id>
<article-id pub-id-type="doi">10.3389/feart.2022.1073276</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Earth Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Exploring the wicked problem dilemmas and driving mechanism of green transition: Evidence from the Yellow River Basin, China</article-title>
<alt-title alt-title-type="left-running-head">Xie et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/feart.2022.1073276">10.3389/feart.2022.1073276</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Xie</surname>
<given-names>Weiwei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2058317/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Dong</surname>
<given-names>Yaning</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Jin</surname>
<given-names>Tianlin</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Research Institute for Eco-civilization</institution>, <institution>Chinese Academy of Social Sciences</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Institute of Spatial Planning and Regional Economy</institution>, <institution>The Academy of Macroeconomic Research</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/915585/overview">Chuanbao Wu</ext-link>, Shandong University of Science and Technology, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2012857/overview">Fang Fang</ext-link>, Xinjiang University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1931390/overview">Yongguang Zhu</ext-link>, China University of Geosciences Wuhan, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2091643/overview">Zolt&#xe1;n Csed&#x151;</ext-link>, Corvinus University of Budapest, Hungary</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Yaning Dong, <email>dongyn@pku.edu.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Interdisciplinary Climate Studies, a section of the journal Frontiers in Earth Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>06</day>
<month>01</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>1073276</elocation-id>
<history>
<date date-type="received">
<day>18</day>
<month>10</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>22</day>
<month>12</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Xie, Dong and Jin.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Xie, Dong and Jin</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>The green transition of the Yellow River Basin (YRB) plays an important role in China&#x2019;s economic and social development, as well as its ecological security. In view of the wicked problem dilemmas of development and emissions reduction in the YRB, this study theoretically and empirically examines the driving forces of its green transition. A six-sector green endogenous growth model reveals that low-carbon governance and innovation activities are the main drivers of green transition. Subsequently, a panel econometric model empirically explores how these drivers can solve the challenges of green transition. The findings are summarized as follows: low-carbon governance and innovative human and physical capital are key elements of green transition. The investment and innovation-driven periods regression results confirm that these elements drive green transition in the latter period. The regional heterogeneity show that drivers can promote green transition in highly developed areas. At the same time, with the inflow of innovative human capital, the promotion of low-carbon governance and innovative human capital to green transition has increased to an extent. Hence, combining the urban development stage and level to avoid a uniform policy may be key to the green transition in the YRB.</p>
</abstract>
<kwd-group>
<kwd>Yellow River Basin</kwd>
<kwd>green transition</kwd>
<kwd>wicked problem</kwd>
<kwd>low-carbon governance</kwd>
<kwd>innovative human capital</kwd>
<kwd>innovative physical capital</kwd>
</kwd-group>
<contract-sponsor id="cn001">National Social Science Fund of China<named-content content-type="fundref-id">10.13039/501100012456</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">China Postdoctoral Science Foundation<named-content content-type="fundref-id">10.13039/501100002858</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Environmental deterioration is a disastrous consequence of the global industrial revolution. Extreme weather events such as excessive precipitation, droughts, floods, cold waves, heat waves, and storms have become more frequent and intense, affecting regions worldwide (<xref ref-type="bibr" rid="B20">Hao et al., 2018</xref>; <xref ref-type="bibr" rid="B59">Zhu et al., 2022</xref>). The climate change phenomenon has forced nations to stress on global green transition, with its first aim being adherence to the Paris Agreement and systematic upgrades to eco-friendly human development (<xref ref-type="bibr" rid="B39">Roberts et al., 2018</xref>; <xref ref-type="bibr" rid="B33">Mao et al., 2019</xref>).</p>
<p>Carbon emissions reduction has long been a path to green transition (<xref ref-type="bibr" rid="B58">Zhou et al., 2022</xref>). According to Net Zero Tracker, most countries are now actively and systematically exploring emissions reduction; indeed, more than 68% of the 198 countries worldwide have thus far proposed carbon neutral, climate neutral, net zero, and other independent contribution emissions reduction targets. Countries that have reached the carbon peak have completed the historical mission of industrialization and urbanization (<xref ref-type="bibr" rid="B15">Dong et al., 2019</xref>). In terms of gross domestic product (GDP), the <italic>per capita</italic> GDP of some countries that have already reached their carbon peak (<xref ref-type="bibr" rid="B6">BP Statistical Review of World Energy, 2020</xref>) ranges from United States$ 26,000 to 44,000. The service industry often accounts for over 65% of the GDP, with the United States and Japan revealing shares as high as 76.8% and 73.8%, respectively (<xref ref-type="bibr" rid="B52">Word Bank, 2022</xref>). In 2021, for instance, China&#x2019;s <italic>per capita</italic> GDP was United States $12,600, exceeding the global average for the first time; its service industry&#x2019;s share of GDP and urbanization rate were 53.3% and 64.7%, respectively (<xref ref-type="bibr" rid="B14">CNBS, 2020</xref>). Still, China&#x2019;s industrialization and urbanization are far from complete, leaving it vulnerable to the wicked dilemma of balancing development and emissions reduction to achieve carbon neutrality.</p>
<p>At a length of 5,464&#xa0;km, Yellow River is only the second largest river in China after the Yangtze. Its origin lies in the Qinghai Tibet Plateau. Its vastness and richness has made the Yellow River the seat of China&#x2019;s prosperity since the start of its civilizations, and it continues to serve as an important ecological barrier and economic growth rod. Thus, the sustainable development of the Yellow River YRB (from here, &#x201c;YRB&#x201d;) is essential to China&#x2019;s economic, social, and environmental security (<xref ref-type="bibr" rid="B46">Sun et al., 2022</xref>). In September 2019, the General Office of the State Council of the People Republic of China listed ecological protection and high-quality development of the YRB as its prime national strategy, justifying the urgency of green transition therein. The cities surrounding the YRB comprise more than 27% of the national population but contribute only 21% to China&#x2019;s GDP. Despite this relative underdevelopment, the YRB produces 33% of the total CO<sub>2</sub> emissions, confirming the wicked dilemma between development and protection of the YRB (<xref ref-type="fig" rid="F1">Figure 1</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Trend of the proportion of population, economy, water resources and carbon emissions in the YRB of China from 2004 to 2019.</p>
</caption>
<graphic xlink:href="feart-10-1073276-g001.tif"/>
</fig>
<p>To progress in our research, we must understand two points. First, to scientifically judge the quality of regional green transition we must accurately measure green transition. Regional green transition refers to high efficiency and low emissions economic growth pattern that meets the concept of sustainable development (<xref ref-type="bibr" rid="B55">Zeng et al., 2023</xref>). Compared to the traditional development mode of high consumption and high emissions, both energy and environment are endogenous variables of sustainable development goals (<xref ref-type="bibr" rid="B44">Sun et al., 2019</xref>; <xref ref-type="bibr" rid="B43">Su and Zhang, 2020</xref>). We risk greatly overestimating green productivity if it is calculated without reflecting environmental factors. Indeed, <xref ref-type="bibr" rid="B10">Chen (2010)</xref> shows that the average annual productivity growth <italic>exclusive</italic> of environmental factors was more than 5% during 1980&#x2013;2008, and only 2.29% <italic>inclusive</italic> of them. To address this problem, scholars now employ data envelopment analysis with energy and environmental variables as key factors for measuring green development (<xref ref-type="bibr" rid="B29">Lin and Benjamin, 2017</xref>; <xref ref-type="bibr" rid="B23">Huang et al., 2021</xref>). Still, research continues to stress on energy input in the measurement of green transition, while ignoring water as a resource and output.</p>
<p>Second, factors that drive green transition in river basins and urban agglomerations have been a popular&#x2014;often singular&#x2014;focus of scrutiny (<xref ref-type="bibr" rid="B12">Chen Y. et al., 2020</xref>). Environmental regulation is one such critically important factor (<xref ref-type="bibr" rid="B51">Wang et al., 2019</xref>). However, there are generally three types of cognition regarding the role of environmental regulation in green transition: <italic>promotion</italic>, <italic>inhibition</italic>, and <italic>uncertainty</italic> (<xref ref-type="bibr" rid="B47">Tian et al., 2022</xref>). Regarding promotion, studies show that environmental regulation has a direct positive role in promoting green transition or indirectly improves green total factor productivity (GTFP) through technological innovation or government actions (<xref ref-type="bibr" rid="B56">Zhai and An, 2020</xref>). A corresponding critique is that environmental regulations require enterprises to reduce pollution emissions in a way that increases the cost of pollution prevention and production. Ultimately, regulations are not conducive to improving GTFP (<xref ref-type="bibr" rid="B2">Ambec et al., 2013</xref>). The uncertainty view suggests that the relationship between environmental regulation and regional green transition is not simple and linear, but significantly U-shaped and curvilinear (<xref ref-type="bibr" rid="B41">Song et al., 2020</xref>). Empirical research in China also gives credence to this claim&#x2014;various scholars show that environmental regulation may have a restraining effect on GTFP in the short term, but significantly promotes green transition in the long run (<xref ref-type="bibr" rid="B53">Wu et al., 2020</xref>; <xref ref-type="bibr" rid="B16">Du et al., 2021</xref>; <xref ref-type="bibr" rid="B36">Qiu et al., 2021</xref>).</p>
<p>Since China&#x2019;s entry into information-based and innovation-driven development, the innovation vitality in environmental regulation is another key driver of green economic growth. <xref ref-type="bibr" rid="B17">Fan and Sun (2020)</xref> show that environmental regulation and green technology innovation are major drivers that promote green economic growth. <xref ref-type="bibr" rid="B40">Shangguan and Ge (2020)</xref> further discuss the synergistic effect of environmental regulation and technological innovation in promoting green economic growth. Despite the literature incorporating environmental regulation and technological innovation into a unified framework, the description of innovation activities still emphasizes a single output. The close relationship between innovation human capital and innovation material capital in promoting green transition continues to be ignored.</p>
<p>To address the question of how the YRB&#x2019;s internal mechanism leads to the antagonistic characteristics of green transition, we first identify the mechanism that drives green transition at the theoretical level, and then construct regression models to test the driving mechanisms of the dilemmas of green transition in the YRB.</p>
</sec>
<sec id="s2">
<title>2 Theoretical framework</title>
<p>With the emergence of the endogenous growth model, economists began to introduce pollution into production functions and environmental quality into utility functions when discussing environmental deterioration and sustainable development under the framework of the new model. Representative models, such as <xref ref-type="bibr" rid="B5">Bovenberg and Smulders&#x2019; (1995)</xref> model, introduced environmental factors into a production function based on the Romer model. By extending Barro&#x2019;s AK model and introducing a pollution index as one of the control variables of representative consumers. <xref ref-type="bibr" rid="B42">Stokey&#x2019;s (1998)</xref> study focuses on the externality of environmental pollution and sustainable economic growth. <xref ref-type="bibr" rid="B1">Aghion and Howitt (1998)</xref> reasonably changed the <xref ref-type="bibr" rid="B42">Stokey&#x2019;s (1998)</xref> model assumptions, stipulating a threshold value for environmental quality; if the level falls below this value, environmental damage would become irreversible. They then introduced environmental pollution into the new Schumpeter model to investigate the effect of environmental resource constraints on sustainable development. Then, <xref ref-type="bibr" rid="B22">Howitt and Aghion (1998)</xref> added pollution and non-renewable resources into the production function and environmental quality into the utility function to build an endogenous growth analysis framework. Although they did not perform further solution analysis, they employed Schumpeter and AK&#x2019;s methods for comparative analysis. Later, <xref ref-type="bibr" rid="B4">Barbier (1999)</xref> introduced resource scarcity and population growth into the Romer Stiglitz model to explore the optimal equilibrium growth path.</p>
<p>
<xref ref-type="bibr" rid="B7">Brock and Taylor (2005)</xref> regard nature both as a sink that accepts human waste and a source of economic growth. The &#x201c;source and sink&#x201d; approach simultaneously introduces energy and environmental constraints into the economic growth model. However, the model also introduces environmental pollution or environmental quality into the production function as exogenous variables instead of directly introducing environmental quality into the production function as a production factor. Thus, the model does not comprehensively consider the effect of environmental regulation and technological innovation on green transition from an endogenous perspective, and ultimately fails to systematically reveal its internal coupling mechanism.</p>
<p>The present study is based on the Romer model and introduces human capital development, natural resources development, and environmental management sectors. Among these, the human capital development sector conducts human capital development through investing of a certain amount of human capital, and its output is a human capital increment <inline-formula id="inf1">
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</inline-formula>. The natural resources development sector inputs a certain amount of natural resource elements <inline-formula id="inf2">
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<mml:math id="m5">
<mml:mrow>
<mml:mi>E</mml:mi>
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<list-item>
<p>a) Maximize consumer utility. It is assumed that both consumption and environmental pollution affect consumer utility, and the intertemporal utility function is as follows:</p>
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<p>b) Product production sector. Natural resources and environmental factors are included in the Cobb&#x2013;Douglas production function, and the total production function of the final product sector is expressed as:</p>
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</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where <inline-formula id="inf10">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> is the final product sector productivity parameter, <inline-formula id="inf11">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the environmental quality that supports economic development in period <inline-formula id="inf12">
<mml:math id="m14">
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf13">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>&#x3b1;</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>&#x3b1;</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mi mathvariant="normal">d</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> denote the output elasticity of human capital, material capital, the labor force, natural resources, and environmental quality, respectively.<list list-type="simple">
<list-item>
<p>c) Human capital sector. The total amount of human capital of the whole economic system is assumed to be <inline-formula id="inf14">
<mml:math id="m16">
<mml:mrow>
<mml:mi>H</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>; of this, the amount of human capital investment engaged in human capital development is <inline-formula id="inf15">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mi>H</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. The corresponding production function or human capital increment, <inline-formula id="inf16">
<mml:math id="m18">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>H</mml:mi>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula>, is expressed as:</p>
</list-item>
</list>
<disp-formula id="e3">
<mml:math id="m19">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>H</mml:mi>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mi>H</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where <inline-formula id="inf17">
<mml:math id="m20">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> is the human capital development sector&#x2019;s productivity parameter.<list list-type="simple">
<list-item>
<p>d) R&#x26;D sector. It is assumed that intellectual capital is a non-competitive investment; that is, when the R&#x26;D sector is developing new product design schemes or patents, it can freely obtain all knowledge. Here, the stock of knowledge capital represents the level of regional technological innovation. Assuming that the output level of the R&#x26;D sector mainly depends on the sector&#x2019;s human capital input, innovation efficiency, and innovation quality, the R&#x26;D sector&#x2019;s production function is set as:</p>
</list-item>
</list>
<disp-formula id="e4">
<mml:math id="m21">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>A</mml:mi>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:msubsup>
<mml:mi>H</mml:mi>
<mml:mi>A</mml:mi>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:msubsup>
<mml:msup>
<mml:mi>A</mml:mi>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:msup>
<mml:mo>,</mml:mo>
<mml:mtext>&#x2003;</mml:mtext>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>where <inline-formula id="inf18">
<mml:math id="m22">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> is the R&#x26;D sector&#x2019;s productivity parameter, <inline-formula id="inf19">
<mml:math id="m23">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>A</mml:mi>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> is the increment of knowledge capital, and <inline-formula id="inf20">
<mml:math id="m24">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf21">
<mml:math id="m25">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are the output elasticities of innovation human capital and innovation material capital, respectively.<list list-type="simple">
<list-item>
<p>e) Natural resources sector. Natural resources are the resources obtained from nature and consumed by human production activities. They include renewable and non-renewable natural resources. Non-renewable natural resources (e.g., oil and coal) are essential input factors in current economic development. As water is the key factor for high-quality development in the YRB, natural resources here mainly refer to water resources and non-renewable natural resources. It is assumed that the production function of the natural resources development sector is:</p>
</list-item>
</list>
<disp-formula id="e5">
<mml:math id="m26">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:msup>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:msup>
<mml:msubsup>
<mml:mi>L</mml:mi>
<mml:mi>R</mml:mi>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:msubsup>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>where <inline-formula id="inf22">
<mml:math id="m27">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the productivity parameter of the natural resources development sector; <inline-formula id="inf23">
<mml:math id="m28">
<mml:mrow>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the amount of natural resources invested in the natural resources development sector; <inline-formula id="inf24">
<mml:math id="m29">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mi mathvariant="normal">d</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> refer to the output elasticity coefficients of natural resources and the labor force, respectively; and <inline-formula id="inf25">
<mml:math id="m30">
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>R</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the labor force input into the natural resources development sector.<list list-type="simple">
<list-item>
<p>f) Environmental management sector. From the production perspective, the environment is included in the endogenous growth model as a production factor. Assuming <inline-formula id="inf26">
<mml:math id="m31">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the economic system&#x2019;s initial environmental quality, which is also environmental quality&#x2019;s upper limit, then the environmental quality supporting economic development at time <inline-formula id="inf27">
<mml:math id="m32">
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is as follows:</p>
</list-item>
</list>
<disp-formula id="e6">
<mml:math id="m33">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>where <inline-formula id="inf28">
<mml:math id="m34">
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the economic system&#x2019;s pollutant emissions at time <inline-formula id="inf29">
<mml:math id="m35">
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. The environmental management sector improves environmental quality by investing in environmental governance. Assuming that each unit of economic output will emit <inline-formula id="inf30">
<mml:math id="m36">
<mml:mrow>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> units of pollutants, the environmental management sector will invest a certain amount of material capital <inline-formula id="inf31">
<mml:math id="m37">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>E</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3c0;</mml:mi>
<mml:mi>K</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, where <inline-formula id="inf32">
<mml:math id="m38">
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
<mml:mo>&#x2208;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>0,1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is the proportion coefficient of the environmental treatment investment and material capital required to promote improving and upgrading production technology and reducing pollutant emission. After comprehensively considering how environmental consumption, treatment, and capacity for self-purification affect the environmental stock, the accumulation equation of pollutant <inline-formula id="inf33">
<mml:math id="m39">
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> can be set as follows:<disp-formula id="e7">
<mml:math id="m40">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>P</mml:mi>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>h</mml:mi>
<mml:msup>
<mml:mi>&#x3c0;</mml:mi>
<mml:msub>
<mml:mi>&#x3b7;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:msup>
<mml:msup>
<mml:mi>K</mml:mi>
<mml:msub>
<mml:mi>&#x3b7;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:msup>
<mml:mi>Y</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3be;</mml:mi>
<mml:mi>P</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>Z</mml:mi>
<mml:mi>Y</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3be;</mml:mi>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>Z</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>h</mml:mi>
<mml:msup>
<mml:mi>&#x3c0;</mml:mi>
<mml:msub>
<mml:mi>&#x3b7;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:msup>
<mml:msup>
<mml:mi>K</mml:mi>
<mml:msub>
<mml:mi>&#x3b7;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>where <inline-formula id="inf34">
<mml:math id="m41">
<mml:mrow>
<mml:mi>Z</mml:mi>
<mml:mi>Y</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> represents the current pollutant emission. <inline-formula id="inf35">
<mml:math id="m42">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b7;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>&#x3b7;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2208;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1,0</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> indicates that investment in environmental treatment can reduce pollutant emission; and <inline-formula id="inf36">
<mml:math id="m43">
<mml:mrow>
<mml:mi>&#x3be;</mml:mi>
<mml:mo>&#x2208;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>0,1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is expressed as the pollutant self-purification coefficient.</p>
<p>Under the condition of the optimal growth path, the growth rate of any economic variable is constant, and <inline-formula id="inf37">
<mml:math id="m44">
<mml:mrow>
<mml:msub>
<mml:mi>g</mml:mi>
<mml:mi>X</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>X</mml:mi>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
<mml:mo>/</mml:mo>
<mml:mi>X</mml:mi>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> represents the growth rate of any variable <inline-formula id="inf38">
<mml:math id="m45">
<mml:mrow>
<mml:mi>X</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. According to the relationships between final output, material capital, consumption, and environmental investment, the variables <inline-formula id="inf39">
<mml:math id="m46">
<mml:mrow>
<mml:mi>Y</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf40">
<mml:math id="m47">
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf41">
<mml:math id="m48">
<mml:mrow>
<mml:mi>K</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> have the same equilibrium growth rate. Through dynamic optimization, the green economic growth rate can be obtained as follows:<disp-formula id="e8">
<mml:math id="m49">
<mml:mrow>
<mml:msub>
<mml:mi>g</mml:mi>
<mml:mi>Y</mml:mi>
</mml:msub>
<mml:mo>&#x221d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
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<mml:mi>&#x3b1;</mml:mi>
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<mml:mn>1</mml:mn>
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<mml:mi>&#x3c9;</mml:mi>
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<label>(8)</label>
</disp-formula>
</p>
<p>Comparative static analysis yields two propositions:</p>
<p>
<statement content-type="proposition" id="Proposition_1">
<label>Proposition 1</label>
<p>When other conditions remain unchanged, innovative human capital and innovative material capital have a positive marginal effect on the long-term steady-state green economic growth rate. Specifically, <inline-formula id="inf42">
<mml:math id="m50">
<mml:mrow>
<mml:mrow>
<mml:mrow>
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<mml:mi mathvariant="normal">g</mml:mi>
<mml:mi mathvariant="normal">Y</mml:mi>
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<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
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</inline-formula>, indicating that the long-term steady-state green economic growth rate will increase with improvements in the innovation sector&#x2019;s innovative human and material capital.</p>
</statement>
</p>
<p>
<statement content-type="proposition" id="Proposition_2">
<label>Proposition 2</label>
<p>When other conditions remain unchanged, improvements in the investment efficiency of environmental governance can reduce pollutant emissions, which can not only reduce the constraints of environmental pollution on economic growth but improve the long-term steady-state green economic growth rate, that is, <inline-formula id="inf44">
<mml:math id="m52">
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
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<mml:mi mathvariant="normal">g</mml:mi>
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<mml:mo>/</mml:mo>
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</inline-formula>.</p>
</statement>
</p>
</sec>
<sec sec-type="methods" id="s3">
<title>3 Methodology</title>
<sec id="s3-1">
<title>3.1 Research area</title>
<p>This study takes the YRB as its research area. Based on the Yellow River Yearbook, the YRB&#x2019;s outline for ecological protection and high-quality development planning, we take the prefecture level cities of Shandong, Henan, Shanxi, Inner Mongolia, Shaanxi, Ningxia, Gansu, and Qinghai, as well as some cities in Anhui and Hebei through which the Yellow River flows, as our research area. The YRB comprises 87 prefecture level cities (see <xref ref-type="fig" rid="F2">Figure 2</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>The Yellow River Basin.</p>
</caption>
<graphic xlink:href="feart-10-1073276-g002.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 Research method</title>
<sec id="s3-2-1">
<title>3.2.1 Measurement of green transition</title>
<p>Green transition is a transformation process (<xref ref-type="bibr" rid="B25">Kemp and Never, 2017</xref>; <xref ref-type="bibr" rid="B41">Song et al., 2020</xref>). It refers to the transformation of regional economy from traditional extensive development mode to intensive sustainable development under resources and environment constraints (<xref ref-type="bibr" rid="B32">L&#xf3;pez-Gamero et al., 2010</xref>). The measurement of the green transition is the relative efficiency of various inputs and outputs in the sustainable development model (Shen et al., 2019). Total factor productivity (TFP) is used to represent traditional economic efficiency. While GTFP including &#x201c;good&#x201d; and &#x201c;bad&#x201d; outputs allows for evaluating the performance of green transition with ecological constraints (<xref ref-type="bibr" rid="B13">Chen et al., 2018</xref>; <xref ref-type="bibr" rid="B24">Huang et al., 2022</xref>).</p>
<p>To evaluate the GTFP of the YRB, we use a global Malmquist Luenberger productivity index based on the directional distance function of a Slacks-based model that includes environmental input factors and undesirable output (<xref ref-type="bibr" rid="B35">Oh, 2010</xref>; <xref ref-type="bibr" rid="B30">Liu and Xin, 2019</xref>). In most research, labor, capital, and energy are input factors (<xref ref-type="bibr" rid="B18">Fare et al., 2007</xref>; <xref ref-type="bibr" rid="B26">Li et al., 2016</xref>; <xref ref-type="bibr" rid="B31">Long et al., 2018</xref>), while economic output and industrial pollution emissions (e.g., the three industrial wastes, sulfur dioxide, wastewater, and soot) are output factors in the GTFP calculation (<xref ref-type="bibr" rid="B54">Wu et al., 2017</xref>; <xref ref-type="bibr" rid="B28">Li et al., 2018</xref>).</p>
<p>Considering the particularity and importance of water as a natural factor in the YRB&#x2019;s study area, we consider water resource endowment a resource input factor (<xref ref-type="bibr" rid="B34">Miao et al., 2010</xref>; <xref ref-type="bibr" rid="B11">Chen Y. P. et al., 2020</xref>). Correspondingly, we make sewage discharge as an unexpected output of the water environment (<xref ref-type="bibr" rid="B41">Song et al., 2020</xref>). As air pollution is an important component of environmental pollution, carbon emissions (<xref ref-type="bibr" rid="B27">Li and Lin, 2017</xref>) and fine particulate matter are selected as undesirable outputs to describe the green transition accurately, especially given the need for complying with the &#x201c;double carbon&#x201d; goal.</p>
<p>The regional carbon emissions are derived from the 1997&#x2013;2017 China county carbon emissions dataset simulated and retrieved by the CEADs database based on DMSP/OLS and VIIRS/NPP night light data (<xref ref-type="bibr" rid="B9">Chen J. et al., 2020</xref>). The 2018 and 2019 data are inversely extrapolated based on the trend of the chain-based growth rate in the past 5&#xa0;years and proportion of various cities&#x2019; carbon emissions in the province in the past 5&#xa0;years. We cover the period from 2004 to 2019. Specific measurement indicators are provided in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Description of the indicators of green total factor productivity measurement.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Category</th>
<th align="left">Index</th>
<th align="left">Measurements</th>
<th align="left">Data sources</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="4" align="left">Input</td>
<td align="left">Labor input</td>
<td align="left">Persons employed in urban units at year-end</td>
<td rowspan="2" align="left">China City Statistical Yearbook</td>
</tr>
<tr>
<td align="left">Capital input</td>
<td align="left">Fixed asset investment</td>
</tr>
<tr>
<td align="left">Energy input</td>
<td align="left">Annual electricity consumption</td>
<td align="left">China City Statistical Yearbook</td>
</tr>
<tr>
<td align="left">Water input</td>
<td align="left">Total quantity of water supply</td>
<td align="left">China Urban-Rural Construction Statistical Yearbook</td>
</tr>
<tr>
<td align="left">Desirable output</td>
<td align="left">Economic output</td>
<td align="left">Gross domestic product (GDP)</td>
<td align="left">China City Statistical Yearbook</td>
</tr>
<tr>
<td rowspan="3" align="left">Undesirable output</td>
<td align="left">Greenhouse gas pollution</td>
<td align="left">Carbon emission</td>
<td align="left">
<ext-link ext-link-type="uri" xlink:href="https://www.ceads.net.cn/data/county/">https://www.ceads.net.cn/data/county/</ext-link>
</td>
</tr>
<tr>
<td align="left">Air pollution</td>
<td align="left">PM<sub>2.5</sub>
</td>
<td align="left">
<ext-link ext-link-type="uri" xlink:href="https://sites.wustl.edu/acag/datasets/surface-pm2-5/">https://sites.wustl.edu/acag/datasets/surface-pm2-5/</ext-link>
</td>
</tr>
<tr>
<td align="left">Water pollution</td>
<td align="left">Annual quantity of wastewater discharged</td>
<td align="left">China Urban-Rural Construction Statistical Yearbook</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Empirical model</title>
<p>To test the research hypothesis of the effect of environmental governance, innovative human capital, and innovative material capital investment on green transition, we constructed the following benchmark measurement model:<disp-formula id="e9">
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<mml:mo>&#x2b;</mml:mo>
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<mml:mo>&#x2b;</mml:mo>
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<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
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<label>(9)</label>
</disp-formula>where <inline-formula id="inf45">
<mml:math id="m54">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> represents a prefecture city, <inline-formula id="inf46">
<mml:math id="m55">
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> represents a year, <inline-formula id="inf47">
<mml:math id="m56">
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> represents GTFP, <italic>ER</italic> represents government environmental governance, <inline-formula id="inf48">
<mml:math id="m57">
<mml:mrow>
<mml:mi>h</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>e</mml:mi>
</mml:mrow>
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</inline-formula> and <inline-formula id="inf49">
<mml:math id="m58">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> represent a series of innovative activities of innovative human capital and innovative physical capital, <inline-formula id="inf50">
<mml:math id="m59">
<mml:mrow>
<mml:mi>X</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is a series of control variables, <inline-formula id="inf51">
<mml:math id="m60">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents an individual effect, and <inline-formula id="inf52">
<mml:math id="m61">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is a random item. Eq. <xref ref-type="disp-formula" rid="e9">9</xref> is further decomposed into investment- and innovation-driven stages to establish a segmented measurement model.</p>
<p>The traditional linear regression framework cannot be used test the non-linear effect of low-carbon governance and innovation activities on green transition when cities have non-linear characteristics. A panel threshold model can be used to study the heterogeneous effects of dependent variables on independent variables when urban characteristics are inconsistent (<xref ref-type="bibr" rid="B19">Hansen, 1999</xref>). Take the single threshold panel model as an example:<disp-formula id="e10">
<mml:math id="m62">
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<label>(10)</label>
</disp-formula>
</p>
<p>In the formula, <inline-formula id="inf53">
<mml:math id="m63">
<mml:mrow>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the threshold variable and <inline-formula id="inf54">
<mml:math id="m64">
<mml:mrow>
<mml:mi>&#x3b3;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the threshold parameter. Eq. <xref ref-type="disp-formula" rid="e9">9</xref> is divided into two parts by the parameters <inline-formula id="inf55">
<mml:math id="m65">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf56">
<mml:math id="m66">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf57">
<mml:math id="m67">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the individual effect and <inline-formula id="inf58">
<mml:math id="m68">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x223c;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:msup>
<mml:mi>&#x3b4;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is the random disturbance term. This single-threshold panel model is equivalent to the following piecewise function:<disp-formula id="e11">
<mml:math id="m69">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3bc;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>&#x3b3;</mml:mi>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>
<disp-formula id="e12">
<mml:math id="m70">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3bc;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mtext>and</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:mi>&#x3b3;</mml:mi>
</mml:mrow>
</mml:math>
<label>(12)</label>
</disp-formula>when <inline-formula id="inf59">
<mml:math id="m71">
<mml:mrow>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>&#x3b3;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, the coefficient of <inline-formula id="inf60">
<mml:math id="m72">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is <inline-formula id="inf61">
<mml:math id="m73">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>; when <inline-formula id="inf62">
<mml:math id="m74">
<mml:mrow>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:mi>&#x3b3;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, the coefficient of <inline-formula id="inf63">
<mml:math id="m75">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is <inline-formula id="inf64">
<mml:math id="m76">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>The first step is to use Tsay&#x2019;s permutation regression to find the threshold estimated value; the second step is to use the bootstrap method to test for a possible threshold effect. If a threshold effect exists, the likelihood ratio statistic is further used to detect whether the true value and the threshold estimate are the same (<xref ref-type="bibr" rid="B49">Wang, 2015</xref>). Generally, there may be multiple threshold values, making it necessary to test the number of threshold values. Consequently, the panel threshold model is set as follows:<disp-formula id="e13">
<mml:math id="m77">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>11</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>&#x3b3;</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>12</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>&#x3b3;</mml:mi>
<mml:mo>&#x3e;</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>21</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mi mathvariant="normal">u</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>e</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>&#x3b3;</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>22</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mi mathvariant="normal">u</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>e</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>&#x3b3;</mml:mi>
<mml:mo>&#x3e;</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>31</mml:mn>
</mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>&#x3b3;</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>32</mml:mn>
</mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>&#x3b3;</mml:mi>
<mml:mo>&#x3e;</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3bb;</mml:mi>
<mml:mo>&#x2211;</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(13)</label>
</disp-formula>
</p>
<p>In this equation, <inline-formula id="inf65">
<mml:math id="m78">
<mml:mrow>
<mml:mi>&#x3b3;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the threshold variable and <inline-formula id="inf66">
<mml:math id="m79">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, the threshold parameter, is the threshold value that needs to be estimated. The equation is divided into two parts by the parameters <inline-formula id="inf67">
<mml:math id="m80">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf68">
<mml:math id="m81">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf69">
<mml:math id="m82">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the individual effect, and <inline-formula id="inf70">
<mml:math id="m83">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x223c;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:msup>
<mml:mi>&#x3b4;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is the random disturbance item.</p>
</sec>
</sec>
<sec id="s3-3">
<title>3.3 Data description</title>
<p>The core explanatory variables and control variables are set as follows.</p>
<sec id="s3-3-1">
<title>3.3.1 Low-carbon governance variable (ER)</title>
<p>Most studies choose the total investment in (industrial) environmental pollution or composite indicators that include measures such as SO<sub>2</sub> removal, smoke removal, comprehensive utilization of industrial solid waste, domestic sewage treatment, and industrial sewage treatment rates as a surrogate indicator of environmental governance (<xref ref-type="bibr" rid="B50">Wang and Shen, 2016</xref>; <xref ref-type="bibr" rid="B37">Ren et al., 2018</xref>; <xref ref-type="bibr" rid="B48">Wang and Zhang, 2022</xref>). We use the carbon intensity reduction rate index as a proxy for the effect of low-carbon governance to test the effect of environmental governance on green transition.</p>
</sec>
<sec id="s3-3-2">
<title>3.3.2 Innovation activities</title>
<p>Innovation activities include innovative human capital investment and innovative physical capital investment. Of these, the level of innovative human capital reflects the labor force&#x2019;s ability to imitate technology, absorb knowledge, and innovate and create; it is a more suitable proxy indicator to measure the labor force&#x2019;s skill level (<xref ref-type="bibr" rid="B3">Ang et al., 2011</xref>). Among various industries, scientific research, technical services and geological exploration is the key industy that serve the R&#x26;D sector. Hence, the scientific research, technical services, and geological exploration industry is selected for this study. The number of employees in the exploration industry and in the information transmission, computer services, and software industry are used as proxy variables for innovative human capital (<italic>human_e</italic>) to estimate the green growth elasticity of human capital changes; innovation material capital investment (<italic>patent_e</italic>) is measured using scientific and technological financial expenditure required for unit patent application.</p>
</sec>
<sec id="s3-3-3">
<title>3.3.3 Control variables</title>
<p>To alleviate bias in the model estimation results caused by variables that are potentially omitted, it is necessary to include control variables that could affect the TFP of urban greening. In the literature, the factors that affect GTFP include government intervention, foreign investment level, and population density. Fiscal pressure (<inline-formula id="inf71">
<mml:math id="m84">
<mml:mrow>
<mml:mi>f</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>), expressed as the proportion of fiscal expenditure to fiscal revenue, is used as a proxy for government intervention. The foreign investment level (<inline-formula id="inf72">
<mml:math id="m85">
<mml:mrow>
<mml:mi>f</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) is measured as the proportion of total foreign investment divided by GDP, and population density (<inline-formula id="inf73">
<mml:math id="m86">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) is represented by the urban population density. To weaken the influence of the dimensional gap and sample heteroscedasticity on the regression results, we take the logarithms of innovation material capital investment, financial pressure, and population density. The descriptive statistics of the original data are presented in <xref ref-type="table" rid="T2">Table 2</xref>.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Descriptive statistical results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variables</th>
<th align="left">Nobs</th>
<th align="left">Mean</th>
<th align="left">Sd</th>
<th align="left">Min</th>
<th align="left">Max</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<inline-formula id="inf74">
<mml:math id="m87">
<mml:mrow>
<mml:mi mathvariant="bold-italic">G</mml:mi>
<mml:mi mathvariant="bold-italic">T</mml:mi>
<mml:mi mathvariant="bold-italic">F</mml:mi>
<mml:mi mathvariant="bold-italic">P</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">1392</td>
<td align="left">1.002</td>
<td align="left">0.022</td>
<td align="left">0.838</td>
<td align="left">1.214</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf75">
<mml:math id="m88">
<mml:mrow>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">1392</td>
<td align="left">0.048</td>
<td align="left">0.132</td>
<td align="left">&#x2212;3.306</td>
<td align="left">0.761</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf76">
<mml:math id="m89">
<mml:mrow>
<mml:mi mathvariant="bold-italic">h</mml:mi>
<mml:mi mathvariant="bold-italic">u</mml:mi>
<mml:mi mathvariant="bold-italic">m</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">n</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="bold-italic">e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">1392</td>
<td align="left">1.19</td>
<td align="left">2.309</td>
<td align="left">0.03</td>
<td align="left">29</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf77">
<mml:math id="m90">
<mml:mrow>
<mml:mi mathvariant="bold-italic">p</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">n</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="bold-italic">e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">1392</td>
<td align="left">27.18</td>
<td align="left">44.33</td>
<td align="left">0.676</td>
<td align="left">755.25</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf78">
<mml:math id="m91">
<mml:mrow>
<mml:mi mathvariant="bold-italic">f</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">n</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">1392</td>
<td align="left">311.277</td>
<td align="left">235.705</td>
<td align="left">100.36</td>
<td align="left">1839.854</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf79">
<mml:math id="m92">
<mml:mrow>
<mml:mi mathvariant="bold-italic">f</mml:mi>
<mml:mi mathvariant="bold-italic">d</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">1392</td>
<td align="left">1.362</td>
<td align="left">1.651</td>
<td align="left">0.001</td>
<td align="left">19.783</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf80">
<mml:math id="m93">
<mml:mrow>
<mml:mi mathvariant="bold-italic">p</mml:mi>
<mml:mi mathvariant="bold-italic">d</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">1392</td>
<td align="left">425.29</td>
<td align="left">311.431</td>
<td align="left">4.7</td>
<td align="left">1440.371</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
</sec>
<sec id="s4">
<title>4 Mechanism test of green transition in the YRB</title>
<sec id="s4-1">
<title>4.1 Identifying the characteristics of the wicked problem</title>
<p>Wicked problems are complex and marked by deep uncertainty, and climate change is one such problem (<xref ref-type="bibr" rid="B38">Rittel and Webber, 1973</xref>; <xref ref-type="bibr" rid="B21">Head, 2014</xref>; <xref ref-type="bibr" rid="B45">Sun and Yang, 2016</xref>). The green transition of the YRB is characterized by a typical wicked problem dilemma of balancing development with emissions reduction (<xref ref-type="fig" rid="F3">Figure 3</xref>). The overall dilemma is manifested in a mismatched development, where the YRB proportion of secondary industry increment between 2004 and 2019 continued to decline, while its carbon emissions increased.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Development and emission reduction trends in the YRB of China from 2004 to 2019.</p>
</caption>
<graphic xlink:href="feart-10-1073276-g003.tif"/>
</fig>
<p>To further verify the dilemmas above, the GTFP of the 87 prefecture-level cities in the YRB is measured to represent green transition. The GTFP of the YRB increased from .987 in 2004 to 1.009 in 2019, with parallel trends in economic development and green and low-carbon development (<xref ref-type="fig" rid="F4">Figure 4</xref>). Among these, GTFP rose rapidly from 2004 to 2008. This stage corresponds to the factor-driven stage in China, which mainly relies on a large amount of labor, capital, and other factors to drive economic growth. With the emergence of the 2008 financial crisis, the overall economic downturn coupled with the environmental consequences of high investment in the early stage, as well as extensive and extended high-carbon development mode led to a continuous decline in the growth rate of green total factors. Although there was a substantial short-term increase in 2012 that led to a continuous increase in efficiency from 2013 to 2015, we see a downward trend in efficiency after 2015. Although the GTFP of the YRB has significantly improved, the task of ensuring a high-quality development-oriented green and low-carbon transition are facing dilemmas between development and emissions reduction.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>GTFP evolution trends in the YRB.</p>
</caption>
<graphic xlink:href="feart-10-1073276-g004.tif"/>
</fig>
</sec>
<sec id="s4-2">
<title>4.2 Result of overall sample regression</title>
<p>This study addresses a overall sample regression model to examine the main factors that led to the dilemmas above in the transition of the Yellow River basin.</p>
<p>
<xref ref-type="table" rid="T3">Table 3</xref> reports the regression results of the benchmark model; columns 1 to 3 present the regression results after adding low-carbon governance, innovative human capital, and innovative physical capital as input variables, respectively. The three main explanatory variables are all positive and significant at the 10% level. After adding all explanatory and control variables (column 3), the R<sup>2</sup> significantly improves, indicating that the selection of control variables is effective.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Benchmark results and robustness checks of the full sample.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variables</th>
<th align="left">(1)</th>
<th align="left">(2)</th>
<th align="left">(3)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<inline-formula id="inf81">
<mml:math id="m94">
<mml:mrow>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">1.20&#x2a;&#x2a;&#x2a; (4.12)</td>
<td align="left">0.012&#x2a;&#x2a; (2.36)</td>
<td align="left">0.013&#x2a;&#x2a; (2.49)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf82">
<mml:math id="m95">
<mml:mrow>
<mml:mi mathvariant="bold-italic">h</mml:mi>
<mml:mi mathvariant="bold-italic">u</mml:mi>
<mml:mi mathvariant="bold-italic">m</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">n</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="bold-italic">e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left">0.001&#x2a;&#x2a; (1.99)</td>
<td align="left">0.001&#x2a; &#x2a;(1.85)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf83">
<mml:math id="m96">
<mml:mrow>
<mml:mi mathvariant="bold-italic">p</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">n</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="bold-italic">e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="left">0.002&#x2a;&#x2a; (2.36)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf84">
<mml:math id="m97">
<mml:mrow>
<mml:mi mathvariant="bold-italic">C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.881&#x2a;&#x2a;&#x2a; (12.55)</td>
<td align="left">0.799&#x2a;&#x2a;&#x2a; (11.34)</td>
<td align="left">0.821&#x2a;&#x2a;&#x2a; (11.57)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf85">
<mml:math id="m98">
<mml:mrow>
<mml:mi mathvariant="bold-italic">f</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">n</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.006 (1.58)</td>
<td align="left">0.006 (1.55)</td>
<td align="left">0.005 (1.46)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf86">
<mml:math id="m99">
<mml:mrow>
<mml:mi mathvariant="bold-italic">f</mml:mi>
<mml:mi mathvariant="bold-italic">d</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.0002 (0.54)</td>
<td align="left">0.0003 (0.67)</td>
<td align="left">0.0005 (0.90)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf87">
<mml:math id="m100">
<mml:mrow>
<mml:mi mathvariant="bold-italic">p</mml:mi>
<mml:mi mathvariant="bold-italic">d</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.036&#x2a;&#x2a;&#x2a; (2.93)</td>
<td align="left">0.030&#x2a;&#x2a; (2.34)</td>
<td align="left">0.025&#x2a;&#x2a; (1.97)</td>
</tr>
<tr>
<td align="left">N</td>
<td align="left">1357</td>
<td align="left">1392</td>
<td align="left">1392</td>
</tr>
<tr>
<td align="left">Year FE</td>
<td align="left">Yes</td>
<td align="left">Yes</td>
<td align="left">Yes</td>
</tr>
<tr>
<td align="left">City FE</td>
<td align="left">Yes</td>
<td align="left">Yes</td>
<td align="left">Yes</td>
</tr>
<tr>
<td align="left">R<sup>2</sup>
</td>
<td align="left">0.154</td>
<td align="left">0.185</td>
<td align="left">0.23</td>
</tr>
<tr>
<td align="left">F-value</td>
<td align="left">8.34&#x2a;&#x2a;&#x2a;</td>
<td align="left">4.89&#x2a;&#x2a;&#x2a;</td>
<td align="left">5.01&#x2a;&#x2a;&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; indicate significance at the 1%, 5%, and 10% levels, respectively. T-statistics are in parentheses.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Specifically, the estimated coefficient on ER is .013 and significant at the 1% level (column 4), which shows that the overall low-carbon governance in the YRB has achieved remarkable results through playing a role in promoting green transition. Importantly, the test results are consistent with <xref ref-type="statement" rid="Proposition_1">Proposition 1</xref>.</p>
<p>The carbon intensity reduction rate is essentially the degree of reduction in pollutant emissions brought about by low-carbon governance; that is, the more obvious the reduction in carbon intensity, the better the low-carbon governance effect. To reflect the effect of low-carbon governance intensity on the YRB&#x2019;s GTFP from an intuitive point of view, we use the ratio of environment-related words to the total word count of the report on the government&#x2019;s work as a proxy variable for the government&#x2019;s environmental governance (<xref ref-type="bibr" rid="B8">Chen et al., 2018</xref>; <xref ref-type="bibr" rid="B57">Zhong et al., 2021</xref>). The results in column 2 show that low-carbon governance intensity also has a significant effect on GTFP, indicating that the carbon intensity reduction rate is properly characterized. Environmental governance investment efficiency (<inline-formula id="inf88">
<mml:math id="m101">
<mml:mrow>
<mml:mi>&#x3b7;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) in the model is reasonable and effective.</p>
<p>From the perspective of the two core explanatory variables on innovation, the coefficients on innovative human capital (<italic>human_e</italic>) and innovative physical capital (<italic>patent</italic>_e) are both significantly positive, indicating that the greater the input of innovative human and physical capital, the higher the GTFP, supporting the effectiveness of <xref ref-type="statement" rid="Proposition_2">Proposition 2</xref>. Thus, innovative human and physical capital, as the key factors promoting technological progress, play key roles in increasing the ability to digest, absorb, and apply existing technologies. As we empirically demonstrate, they are of great significance to the YRB&#x2019;s green and low-carbon transition of the YRB.</p>
<p>Above all, low-carbon governance has obviously promoted the green transition of the Yellow River basin. In contrast, innovation activities, as important factors of sustainable and high-quality economic and social development, have played a very weak role in the green transition of the YRB. We believe that the lack of innovative vitality may be the key reason for the slow and even backward process of low-carbon transformation in the Yellow River basin.</p>
<p>To ensure robustness, four approaches were used to re-estimate the relevant parameters and test the robustness of the empirical conclusions (<xref ref-type="table" rid="T4">Table 4</xref>). We replaced explanatory variable ER (column 4), replaced the GTFP value from the global Malmquist-Luenberger index with the adjacent reference global Malmquist-Luenberger index as the explained variable (column 5), removed the provincial capital city (column 6), and performed a generalized method of moments regression with a one-period lag of the explained variable (column 7). In column (4), the proportion of the word frequency related to the word &#x201c;environmental protection&#x201d; in the work report of each city&#x2019;s government in the total number of words in the report is used as a substitute variable for the intensity of environmental governance. The results show that ER-new has also significantly improved the GTFP, which fully shows that it is reasonable and effective to characterize the investment efficiency of environmental governance in the model by the reduction rate of carbon intensity. The results of the robustness tests show that the estimation results of the three main explanatory variables are consistent with the model&#x2019;s benchmark regression results. Thus, the results are relatively robust.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Robustness tests.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Varibales</th>
<th rowspan="2" align="center">(4)</th>
<th rowspan="2" align="center">(5) GTFP-new</th>
<th align="center" rowspan="2">(6) Exclude provincial capital cities</th>
<th align="center">(7) SYS-GMM</th>
</tr>
<tr>
<th align="center">
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf89">
<mml:math id="m102">
<mml:mrow>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td rowspan="2" align="left"/>
<td align="center">0.014&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.012&#x2a;&#x2a;</td>
<td align="center">0.015&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">(2.89)</td>
<td align="center">(2.15)</td>
<td align="center">(1.98)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf90">
<mml:math id="m103">
<mml:mrow>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">R</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="bold-italic">n</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">w</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.043&#x2a;&#x2a;</td>
<td rowspan="2" align="left"/>
<td rowspan="2" align="left"/>
<td rowspan="2" align="left"/>
</tr>
<tr>
<td align="center">(0.75)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf91">
<mml:math id="m104">
<mml:mrow>
<mml:mi mathvariant="bold-italic">h</mml:mi>
<mml:mi mathvariant="bold-italic">u</mml:mi>
<mml:mi mathvariant="bold-italic">m</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">n</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="bold-italic">e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.0014&#x2a;&#x2a;</td>
<td align="center">0.0007&#x2a;</td>
<td align="center">0.002&#x2a;</td>
<td align="center">0.001&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">(0.32)</td>
<td align="center">(1.22)</td>
<td align="center">(.73)</td>
<td align="center">(2.31)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf92">
<mml:math id="m105">
<mml:mrow>
<mml:mi mathvariant="bold-italic">p</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">n</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="bold-italic">e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.003&#x2a;&#x2a;</td>
<td align="center">0.0008&#x2a;&#x2a;</td>
<td align="center">0.002&#x2a;</td>
<td align="center">0.001&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">(0.48)</td>
<td align="center">(1.10)</td>
<td align="center">(2.05)</td>
<td align="center">(1.85)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf93">
<mml:math id="m106">
<mml:mrow>
<mml:mi mathvariant="bold-italic">C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.156&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.725&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.804&#x2a;&#x2a;&#x2a;</td>
<td align="center">1.061&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">(2.73)</td>
<td align="center">(10.92)</td>
<td align="center">(9.43)</td>
<td align="center">(15.26)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf94">
<mml:math id="m107">
<mml:mrow>
<mml:mi mathvariant="bold-italic">f</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">n</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.020</td>
<td align="center">0.008&#x2a;</td>
<td align="center">.005</td>
<td align="center">.007&#x2a;</td>
</tr>
<tr>
<td align="center">(0.72)</td>
<td align="center">(2.31)</td>
<td align="center">(1.30)</td>
<td align="center">(1.91)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf95">
<mml:math id="m108">
<mml:mrow>
<mml:mi mathvariant="bold-italic">f</mml:mi>
<mml:mi mathvariant="bold-italic">d</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.001</td>
<td align="center">0.001</td>
<td align="center">0.001</td>
<td align="center">0.00001</td>
</tr>
<tr>
<td align="center">(0.29)</td>
<td align="center">(1.41)</td>
<td align="center">(0.93)</td>
<td align="center">(0.17)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf96">
<mml:math id="m109">
<mml:mrow>
<mml:mi mathvariant="bold-italic">p</mml:mi>
<mml:mi mathvariant="bold-italic">d</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.081&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.041&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.028&#x2a;</td>
<td align="center">0.015</td>
</tr>
<tr>
<td align="center">(1.22)</td>
<td align="center">(3.37)</td>
<td align="center">(1.83)</td>
<td align="center">(1.31)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>l.GTFP</italic>
</td>
<td rowspan="2" align="left"/>
<td rowspan="2" align="left"/>
<td rowspan="2" align="left"/>
<td align="center">&#x2212;0.190&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">(&#x2212;7.68)</td>
</tr>
<tr>
<td align="left">N</td>
<td align="center">1392</td>
<td align="center">1392</td>
<td align="center">1280</td>
<td align="center">1392</td>
</tr>
<tr>
<td align="left">Year FE</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">City FE</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">R<sup>2</sup>
</td>
<td align="center">0.055</td>
<td align="center">0.313</td>
<td align="center">0.173</td>
<td align="center">0.562</td>
</tr>
<tr>
<td align="left">AR (2)P</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">0.746</td>
</tr>
<tr>
<td align="left">Sargan P</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">0.572</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s4-3">
<title>4.3 Regression results of development period</title>
<p>At present, China is transitioning from a high-speed development period that is driven by factors and investment to a high-quality development stage that is driven by innovation. The effect of low-carbon governance and innovation activities on green transition is further examined in two periods, namely 2004&#x2013;2011, the investment-driven period, and the innovation-driven period after 2012. <xref ref-type="table" rid="T5">Table 5</xref> reports the regression results. It is obvious that low-carbon governance and innovation activities have significant temporal heterogeneity in these two periods.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Estimated results at different periods of development.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variables</th>
<th align="left">Investment driven period (2004&#x2013;2011)</th>
<th align="left">Innovation driven period (2012&#x2013;2019)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<inline-formula id="inf97">
<mml:math id="m110">
<mml:mrow>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.008 (1.0)</td>
<td align="left">0.017&#x2a;&#x2a; (2.01)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf98">
<mml:math id="m111">
<mml:mrow>
<mml:mi mathvariant="bold-italic">h</mml:mi>
<mml:mi mathvariant="bold-italic">u</mml:mi>
<mml:mi mathvariant="bold-italic">m</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">n</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="bold-italic">e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.001 (.36)</td>
<td align="left">0.0001&#x2a; (0.19)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf99">
<mml:math id="m112">
<mml:mrow>
<mml:mi mathvariant="bold-italic">p</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">n</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="bold-italic">e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.004&#x2a;&#x2a;&#x2a; (2.83)</td>
<td align="left">&#x2212;0.003 (&#x2212;0.29)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf100">
<mml:math id="m113">
<mml:mrow>
<mml:mi mathvariant="bold-italic">C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.996&#x2a;&#x2a;&#x2a; (5.65)</td>
<td align="left">0.966&#x2a;&#x2a;&#x2a; (8.08)</td>
</tr>
<tr>
<td align="left">Control variable</td>
<td align="left">Yes</td>
<td align="left">Yes</td>
</tr>
<tr>
<td align="left">N</td>
<td align="left">783</td>
<td align="left">696</td>
</tr>
<tr>
<td align="left">R<sup>2</sup>
</td>
<td align="left">0.243</td>
<td align="left">0.141</td>
</tr>
<tr>
<td align="left">F-value</td>
<td align="left">2.49&#x2a;&#x2a;</td>
<td align="left">0.83&#x2a;&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; indicate significance at the 10%, 5%, and 1% levels, respectively. T-statistics are in parentheses.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>First, low-carbon governance plays a significant role in enhancing GTFP only in the innovation-driven period. That is, in the rapid economic growth stage, development-oriented high investment and high consumption lead to weak low-carbon governance effects. Second, although innovative human capital has made insufficient contribution to green transformation in the investment-driven period. While it has accumulated rich human capital. As a result, human capital in innovation-driven period begin to play a role in promoting green transformation. Third, innovative physical capital significantly improved GTFP in the investment-driven period, but did not play a significant role in promoting the innovation-driven period. The drive of physical capital investment has been unable to promote high-quality economic development in the YRB, and physical capital has gradually weakened against innovative human capital. One possible explanation is that with the arrival of the high-quality development, division of labor based on specialization is deepened. Material capital is gradually replaced by innovative human capital.</p>
<p>According to the results, the factors driving green transition are changing at different stages of development. This also means that at different stages of development, the factors leading to the dilemma of green transformation will also change. For example, in innovation driven period, innovative physical capital may be the main reason for the decline of green transformation. To solve the dilemma of green transformation in the current and future time of the innovation driven stage, we should not only reverse the negative effect of innovative material capital, but further enhance the impetus of innovative human capital and low-carbon governance to green transformation.</p>
</sec>
</sec>
<sec id="s5">
<title>5 Further study</title>
<p>The YRB not only exhibits non-linear coupling characteristics between development and emissions (<xref ref-type="fig" rid="F3">Figure 3</xref>), but its green transition quality also fluctuates with time (<xref ref-type="fig" rid="F4">Figure 4</xref>). GFTP increased from .987 in 2004 to 1.009 in 2019; during this time, it went through multiple stages of decline. This may be because the driving effects of low-carbon governance and innovation activities on the YRB&#x2019;s green transition have different effects owing to the idiosyncratic characteristics of each city. Therefore, a panel threshold model was established to explore the non-linear characteristics of the driving mechanism of the YRB&#x2019;s green transition, which is also a realistic path to address its third dilemma.</p>
<sec id="s5-1">
<title>5.1 Non-linear test of urban development levels</title>
<p>The development gap among the regions along the YRB is large. In 2019, Qingdao, which has the highest level of economic development, had a GDP over 40 times that of Jiayuguan City. Therefore, the effect on GTFP of low-carbon governance and innovation activities are further examined when cities have different levels of development. Specifically, the logarithm (<italic>dev</italic>) of <italic>per capita</italic> GDP is used as the threshold variable in Hansen&#x2019;s panel threshold model, and the likelihood ratio is simulated 1,000 times using the bootstrap method. The results show that the panel threshold model has only a single threshold value, which is 8.9, and the F value is 28.95, which is significant at the 10% level.</p>
<p>The results in <xref ref-type="table" rid="T6">Table 6</xref> show that, as the level of urban development crosses the threshold, the effects of low-carbon governance, innovative human capital, and innovative physical capital on GTFP change from insignificant to significant at the 1% level. That is, in cities with low levels of urban development, increasing the government&#x2019;s low-carbon governance and enriching innovation activities cannot effectively improve GTFP. The effect of the green development of low-carbon governance and innovation activities can be fully demonstrated only when urban development reaches a certain level.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Regression results of the panel threshold model.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variables</th>
<th align="left">Coefficients</th>
<th align="left">Variables</th>
<th align="left">Coefficients</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<inline-formula id="inf101">
<mml:math id="m114">
<mml:mrow>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> <bold>(dev&#x3c;8.9)</bold>
</td>
<td align="left">&#x2212;0.034 (&#x2212;1.32)</td>
<td align="left">
<inline-formula id="inf102">
<mml:math id="m115">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (dev &#x3e;8.9)</td>
<td align="left">0.015&#x2a;&#x2a;&#x2a; (2.86)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf103">
<mml:math id="m116">
<mml:mrow>
<mml:mi mathvariant="bold-italic">h</mml:mi>
<mml:mi mathvariant="bold-italic">u</mml:mi>
<mml:mi mathvariant="bold-italic">m</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">n</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="bold-italic">e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (dev &#x3c;8.9)</td>
<td align="left">&#x2212;0.001 (&#x2212;0.14)</td>
<td align="left">
<inline-formula id="inf104">
<mml:math id="m117">
<mml:mrow>
<mml:mi>h</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (dev &#x3e;8.9)</td>
<td align="left">0.001&#x2a;&#x2a;&#x2a; (1.88)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf105">
<mml:math id="m118">
<mml:mrow>
<mml:mi mathvariant="bold-italic">p</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">n</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="bold-italic">e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (dev &#x3c;8.9)</td>
<td align="left">&#x2212;0.001 (&#x2212;1.00)</td>
<td align="left">
<inline-formula id="inf106">
<mml:math id="m119">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (dev &#x3e;8.9)</td>
<td align="left">0.002&#x2a;&#x2a;&#x2a; (2.67)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf107">
<mml:math id="m120">
<mml:mrow>
<mml:mi mathvariant="bold-italic">C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.879&#x2a; (12.22)</td>
<td align="left">Control variable</td>
<td align="left">Yes</td>
</tr>
<tr>
<td align="left">N</td>
<td align="left">1392</td>
<td align="left">F-value</td>
<td align="left">6.44&#x2a;&#x2a;&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; indicate significance at the 10%, 5%, and 1% levels, respectively. T-statistics are in parentheses.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s5-2">
<title>5.2 Non-linear test of the spatial configuration of innovation elements</title>
<p>The YRB has long faced a relatively low quality of human capital and generally high degree of brain drain, a bottleneck of &#x201c;talent collapse,&#x201d; and the misallocation of innovative talent elements in urban agglomerations. Existing research shows that innovative human capital has a weak effect on GTFP, and hence the difference in the spatial allocation of innovative factors may be an important source of the non-linear characteristics of development and transition. Therefore, the key to breaking through the human capital dilemma is to weaken the spatial mismatch of innovative elements, among which the spatial allocation of innovative talent is the most important.</p>
<p>This study further examines the effect of innovative talent influx on low-carbon governance, innovative activities, and urban green transition to explore solutions from the perspective of the spatial allocation of innovative talent.</p>
<p>Using the China Migrants Dynamic Survey, the proportion of the immigrant population in prior years with college education or above is calculated to measure the inflow of regional innovative talent (<italic>talent</italic>), and then a panel threshold model is established as a threshold variable. The threshold test results show that the model passes only the single threshold test, with a threshold value of .866 and an F value of 10.57. The regression results confirm a continuous inflow of innovative talent that has significantly enhanced the effect of low-carbon governance and local innovative human capital on GTFP (<xref ref-type="table" rid="T7">Table 7</xref>). However, as regions have had high performance in eliminating fragmentation and improving transportation efficiency, the speed and intensity of the inflow of innovative talent has greatly improved. This has been accompanied by a collision of knowledge and thinking between foreign talent and local innovative human capital, thus enhancing regional low-carbon governance power and technology, which is more conducive to GTFP growth.</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Regression results of panel threshold.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variables</th>
<th align="left">Coefficients</th>
<th align="left">Variables</th>
<th align="left">Coefficients</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<inline-formula id="inf108">
<mml:math id="m121">
<mml:mrow>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (talent&#x3c;.866)</td>
<td align="left">0.012&#x2a;&#x2a; (2.14)</td>
<td align="left">
<inline-formula id="inf109">
<mml:math id="m122">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (talent &#x3e;0.866)</td>
<td align="left">0.036&#x2a;&#x2a; (1.87)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf110">
<mml:math id="m123">
<mml:mrow>
<mml:mi mathvariant="bold-italic">h</mml:mi>
<mml:mi mathvariant="bold-italic">u</mml:mi>
<mml:mi mathvariant="bold-italic">m</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">n</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="bold-italic">e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (talent &#x3c;0.866)</td>
<td align="left">0.001&#x2a;&#x2a; (2.01)</td>
<td align="left">
<inline-formula id="inf111">
<mml:math id="m124">
<mml:mrow>
<mml:mi>h</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (talent &#x3e;0.866)</td>
<td align="left">0.002&#x2a;&#x2a; (1.73)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf112">
<mml:math id="m125">
<mml:mrow>
<mml:mi mathvariant="bold-italic">p</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">n</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="bold-italic">e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (talent &#x3c;0.866)</td>
<td align="left">0.002&#x2a;&#x2a; (2.55)</td>
<td align="left">
<inline-formula id="inf113">
<mml:math id="m126">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (talent &#x3e;0.866)</td>
<td align="left">&#x2212;0.003 (&#x2212;0.30)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf114">
<mml:math id="m127">
<mml:mrow>
<mml:mi mathvariant="bold-italic">C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.827&#x2a;&#x2a;&#x2a; (10.82)</td>
<td align="left">Control variable</td>
<td align="left">Yes</td>
</tr>
<tr>
<td align="left">N</td>
<td align="left">1305</td>
<td align="left">F-value</td>
<td align="left">4.29&#x2a;&#x2a;&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; indicate significance at the 10%, 5%, and 1% levels, respectively. T-statistics are in parentheses.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The role of innovation material capital investment is relatively more obvious at the beginning of innovation talent flow. This may be because innovation output is more dependent on local science and technology financial expenditure when local human innovation capital plays a dominant role in the market. Establishing a unified national market has brought the inevitable trend of multi-center network development to the forefront. Adhering to the urban network concept that cities have boundaries while urban networks do not, inter-regional innovation networks have been promoted in all directions. Therefore, when the amount of innovative foreign talent exceeds a certain threshold, traditional innovation output driven by physical capital cannot keep up with the improvement in the green economy&#x2019;s efficiency in the new era. This further reinforces importance of the spatial allocation of innovative talent in this new development stage.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s6">
<title>6 Conclusion</title>
<p>China has publicly committed to transforming into an &#x201c;ecological civilization,&#x201d; that requires green development. This study explores a path to solving the dilemmas affecting the YRB&#x2019;s green transition process. We constructed a six-sector green endogenous growth model including natural resources, environmental quality, environmental governance investment, knowledge spillovers, environmental self-purification capabilities, and the impact mechanism of green economic growth. Then, a Slacks-based model using the directional distance function measured the degree of green transition of cities in the YRB from 2003 to 2019. In this model, we incorporated undesired outputs such as air, greenhouse gas, and water pollution. Finally, we used a panel econometric model to test the driving role of carbon governance and innovation activities on the YRB&#x2019;s green transition.</p>
<p>The results of our varied methodological approach confirm the role of low-carbon governance, innovative human capital, and innovative material capital investment in promoting green transition. When the research period is divided into investment- and innovation-driven development stages, low-carbon governance and innovative human capital are shown to have played positive roles in the YRB&#x2019;s green transition in the innovation-driven development stage. Further research based on urban development levels and the spatial allocation of innovation elements revealed that the effects of low-carbon governance and innovation activities on green transition are non-linear. On the one hand, green transition can benefit from low-carbon governance only when urban development is above a certain level. On the other hand, the spatial allocation effect of innovative talent has significantly improved the driving force of low-carbon governance and innovative human capital on the YRB&#x2019;s green transition.</p>
<p>We propose that the YRB&#x2019;s triple wicked problem requires governments to further improve the level of innovative human capital and enhance the density and quality of green technologies. The YRB&#x2019;s green transition is largely driven by innovative physical capital investment than innovative human capital. Three paths arise from this result: intensify R&#x26;D in green technology innovation, promote independent innovation, and improve green technology progresses.</p>
<p>Green transition also requires increased publicity of green technology, active promotion and use of green technology, saving of resources, protecting the environment from root causes of degradation, and realizing a green economy. First, the innovative output of human capital, especially innovative talent, should be fully stimulate. Scientific researchers need to be better compensated particularly through incentivizing technological achievement We believe these measures could enhance innovation vitality. Second, the motivation for retaining, attracting, and utilizing talent requires a combination of efforts. The support services of the whole talent industrial chain should be expanded to ensure the quality of new talent. Acquiring and retaining talent from abroad should be further prioritized. We also suggest combining green transition with the stage and development level and avoiding accelerating transition in a one-size-fits-all manner. Efforts should be made to narrow the green economic development gap between the upstream and the middle and lower reaches, especially for upstream areas with high locations. This will further strengthen the construction of compact urban forms, compressing spatial distance and eliminating divisions. Constructing regionally coordinated and efficient environmental regulation policies should also be explored. As water is the YRB&#x2019;s core element, urban agglomeration policies for water environment, atmospheric environment, and low-carbon governance should be formulated to avoid uncoordinated environmental governance caused by economic competition and improvements.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s7">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Materials, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s8">
<title>Author contributions</title>
<p>WX: Conceptualization, methodology, writing&#x2013;review and editing. YD: Supervision, review and editing. TJ: Additional review and editing.</p>
</sec>
<sec id="s9">
<title>Funding</title>
<p>This research was funded by the State Key of National Natural Science Foundation of China (No. 71733001), the National Social Science Fund of China (No. 20ZDA086) China Postdoctoral Science Foundation (No. 2021M703573) and National Social Science Foundation Youth Project (No. 17CRK009).</p>
</sec>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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