<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article">
 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">
    ojbm
   </journal-id>
   <journal-title-group>
    <journal-title>
     Open Journal of Business and Management
    </journal-title>
   </journal-title-group>
   <issn pub-type="epub">
    2329-3284
   </issn>
   <issn publication-format="print">
    2329-3292
   </issn>
   <publisher>
    <publisher-name>
     Scientific Research Publishing
    </publisher-name>
   </publisher>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="doi">
    10.4236/ojbm.2025.133095
   </article-id>
   <article-id pub-id-type="publisher-id">
    ojbm-142568
   </article-id>
   <article-categories>
    <subj-group subj-group-type="heading">
     <subject>
      Articles
     </subject>
    </subj-group>
    <subj-group subj-group-type="Discipline-v2">
     <subject>
      Business 
     </subject>
     <subject>
       Economics
     </subject>
    </subj-group>
   </article-categories>
   <title-group>
    Total Factor Productivity and Morocco’s Participation in Global Value Chains: Evidence from ARDL Bounds Testing Approach
   </title-group>
   <contrib-group>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Farah
      </surname>
      <given-names>
       Benomar
      </given-names>
     </name>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Hicham El
      </surname>
      <given-names>
       Bouanani
      </given-names>
     </name>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Abdelaaziz
      </surname>
      <given-names>
       Ezziani
      </given-names>
     </name>
    </contrib>
   </contrib-group> 
   <aff id="affnull">
    <addr-line>
     aLMAEG, Hassan II University of Casablanca, Casablanca, Morocco
    </addr-line> 
   </aff> 
   <pub-date pub-type="epub">
    <day>
     27
    </day> 
    <month>
     04
    </month>
    <year>
     2025
    </year>
   </pub-date> 
   <volume>
    13
   </volume> 
   <issue>
    03
   </issue>
   <fpage>
    1825
   </fpage>
   <lpage>
    1853
   </lpage>
   <history>
    <date date-type="received">
     <day>
      26,
     </day>
     <month>
      February
     </month>
     <year>
      2025
     </year>
    </date>
    <date date-type="published">
     <day>
      11,
     </day>
     <month>
      February
     </month>
     <year>
      2025
     </year> 
    </date> 
    <date date-type="accepted">
     <day>
      11,
     </day>
     <month>
      May
     </month>
     <year>
      2025
     </year> 
    </date>
   </history>
   <permissions>
    <copyright-statement>
     © Copyright 2014 by authors and Scientific Research Publishing Inc. 
    </copyright-statement>
    <copyright-year>
     2014
    </copyright-year>
    <license>
     <license-p>
      This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/
     </license-p>
    </license>
   </permissions>
   <abstract>
    One of the most spectacular developments in international trade in recent decades has been the rise of global value chains (GVCs). Theoretical and empirical research shows that participation in GVCs offers numerous advantages for developing countries, has beneficial macroeconomic effects and could represent a development strategy. This paper is a contribution to the literature on global value chains, and empirically investigates the short- and long-term impact of Morocco’s participation in GVCs on total factor productivity (TFP). The data used are annual time series covering the period 1991-2021. The data were obtained from the World Bank database, the OECD TIVA edition 2021 database and the Penn World Version 10.0 database. The empirical results showed a long-term relationship between TFP and participation in global value chains, as well as with the other control variables, namely the real effective exchange rate and wages. Indeed, upstream participation in GVCs has a negative impact on TFP in the short and long term, while downstream participation has a positive effect on TFP in the short and long term. The econometric study also shows that the real effective exchange rate has a negative impact on TFP in the short and long term, while wages have a positive impact on TFP in the short and long term.
   </abstract>
   <kwd-group> 
    <kwd>
     Global Value Chain
    </kwd> 
    <kwd>
      Total Factor Productivity
    </kwd> 
    <kwd>
      Upstream Participation
    </kwd> 
    <kwd>
      Downstream Participation
    </kwd> 
    <kwd>
      Real Effective Exchange Rate
    </kwd> 
    <kwd>
      Wages
    </kwd> 
    <kwd>
      ARDL
    </kwd> 
    <kwd>
      Morocco 
    </kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <sec id="s1">
   <title>1. Introduction</title>
   <p>Over the new millennium, global value chains (GVCs) have changed the pace of economic development, driving changes in the global division of labor and fragmentation processes for a borderless production system (<xref ref-type="bibr" rid="scirp.142568-27">
     Feng, Xin, &amp; Cui, 2020
    </xref>). Global value chain is the system by which production systems are broken down into different levels of specialization undertaken in countries or locations across international borders in order to take advantage of economies of scale. This means that at each stage, the added value depends on where the necessary skills and materials can be found at competitive costs (<xref ref-type="bibr" rid="scirp.142568-35">
     Globerman, 2011
    </xref>).</p>
   <p>Developing countries can draw many benefits from their participation in global value chains. They don’t need to create entire sectors and industries to be industrialized and competitive in international markets (<xref ref-type="bibr" rid="scirp.142568-30">
     Foster-McGregor &amp; Verspagen, 2016
    </xref>; <xref ref-type="bibr" rid="scirp.142568-61">
     Richard, 2012
    </xref>).</p>
   <p>It has been argued that GVCs contribute to total factor productivity growth in participating countries. In addition to the increase in economic activity resulting from their involvement in GVCs, these countries may be able to obtain technologies and management know-how, which would play an important role in increasing productivity and thus achieving economic growth (<xref ref-type="bibr" rid="scirp.142568-13">
     Benomar, El Bouanani, &amp; Ezziani, 2023b
    </xref>).</p>
   <p>In light of these observations, this paper attempts to examine the effects of participation in global value chains in Morocco, focusing on productivity. Productivity is expressed as a total factor productivity.</p>
   <p>We examine the effects of participation in global value chains from two angles: upstream and downstream participation. Upstream participation refers to sourcing foreign inputs for a country’s export production, while downstream participation refers to providing inputs for foreign partners for their export production.</p>
   <p>However, the question of whether or not global value chains promote total factor productivity growth remains an empirical question that requires empirical answers. The few studies conducted in this area reveal some interesting results that remain inconclusive, while little is known about the case of developing countries such as Morocco (<xref ref-type="bibr" rid="scirp.142568-72">
     Yanikkaya &amp; Altun, 2020
    </xref>; <xref ref-type="bibr" rid="scirp.142568-27">
     Feng, Xin, &amp; Cui, 2020
    </xref>; <xref ref-type="bibr" rid="scirp.142568-50">
     Liu &amp; Saam, 2021
    </xref>). Our study fills this gap and provides new evidence for the case of Morocco.</p>
   <p>Thus, the remainder of the article will be devoted firstly to a review of the theoretical and empirical literature, secondly to the methodology pursued and thirdly to the presentation and discussion of the results obtained.</p>
  </sec><sec id="s2">
   <title>2. Literature Review</title>
   <sec id="s2_1">
    <title>2.1. Overview of the Global Value Chain and Total Factor Productivity</title>
    <p>One of the most spectacular developments in international trade in recent decades has been the rapid and remarkable expansion of trade in parts and components, which have been traded within global value chains (GVCs) or production networks. GVCs can be referred to as global production sharing, in which the production system is broken down into different stages. These stages are then carried out in different economies around the world. The production system is fragmented into cross-border networks in different locations, which has implications for industrial productivity and the development of developing economies (<xref ref-type="bibr" rid="scirp.142568-66">
      Tong &amp; Seric, 2019
     </xref>; <xref ref-type="bibr" rid="scirp.142568-65">
      Sydor, 2011
     </xref>). Global value chains have been developed mainly by foreign companies, who have fragmented production processes into several different sub-processes located in the country or region where each particular sub-process can be carried out at the lowest cost. Final products are assembled through the active trade of parts and components within global value chains. The development of global value chains can be attributed to many different factors. The development of information and communication technologies has facilitated the transfer of the knowledge needed to develop and manage value chains from the head company to its subsidiaries, the liberalization of trade and investment policies has also contributed to the expansion of global value chains, by reducing the costs of trade and investment.</p>
    <p>Over time, researchers have become interested in measuring a country’s GVCs using global input-output tables (<xref ref-type="bibr" rid="scirp.142568-56">
      Nomaler &amp; Verspagen, 2014
     </xref>). Indeed, since the seminal paper by <xref ref-type="bibr" rid="scirp.142568-41">
      Hummels et al. (2001)
     </xref>, participation in GVCs has generally been defined and measured as vertical specialization. According to this definition, the production of goods in a GVC must take place in different stages of production, in which at least two countries are involved, crossing at least two borders. A distinction is made between upstream and downstream participation. Upstream participation measures the foreign value-added content of exports. Here, the exporting country plays the role of input buyer. For example, the upstream participation rate is very high if a country functions as an assembly platform, where imported components are assembled solely for export. Downstream participation, on the other hand, represents the role of the seller. We measure here the national value added contained in third-country exports. These two values, taken together as a percentage of exports, express the rate of participation in GVCs. <xref ref-type="bibr" rid="scirp.142568-14">
      Carballa Smichowski, Durand, &amp; Knauss (2020)
     </xref> present another method of measurement and considers participation in GVCs as the sum of the share of non-primary products in domestic value added in exports plus intermediate imports, both together as a share of GDP<sup>1</sup>. This method is characterized by three features: firstly, it excludes primary products. Secondly, imports of finished products for domestic use are also excluded. Thirdly, the denominator is GDP, not gross exports.</p>
    <p>In Morocco, the country participates in global value chains through upstream and downstream linkages. Upstream participation occurs when the country uses inputs generated by another country. This mainly occurs when inputs are not available locally, while downstream participation occurs when Morocco provides inputs to a foreign country. This means that goods and services cross many borders before reaching the final production stage.</p>
    <p>Similarly, Total Factor Productivity (TFP) is essential for any economy seeking a higher level of economic performance. TFP is the residual of the production function that affects production performance after capital stock and human capital. It captures the efficiency used in input processing activities. It is the output per unit of total factors influenced by technical efficiency due to technological progress, effective economic policies and high quality of political institutions (<xref ref-type="bibr" rid="scirp.142568-31">
      Garzarelli &amp; Limam, 2019
     </xref>; <xref ref-type="bibr" rid="scirp.142568-3">
      Ajide, 2021
     </xref>).</p>
   </sec>
   <sec id="s2_2">
    <title>2.2. How Do Global Value Chains Influence Productivity?</title>
    <p>In theory, the participation of developing countries in GVCs can improve productivity and expose them to opportunities on world markets, which can encourage the inflow of foreign direct investment. Technological spillovers can occur through technology transfers. These effects can result through the adoption of best practices in terms of organizational management and business methods, and through the use of high-tech intermediary products and the production of high-quality services. They can also result from the use of intellectual property, brand names, knowledge and the sharing of technologies from developed countries through demand and the improvement of skills by learning from customers (<xref ref-type="bibr" rid="scirp.142568-30">
      Foster-McGregor &amp; Verspagen, 2016
     </xref>; <xref ref-type="bibr" rid="scirp.142568-57">
      Olasehinde-Williams &amp; Oshodi, 2021
     </xref>).</p>
    <p>The impact of production fragmentation on productivity in developing countries can be explained by endogenous growth models based on trade. These models determine long-term growth. The most important endogenous factor in economic growth is knowledge, technology, managerial know-how and human capital. Developing countries may be able to obtain technology and management know-how through a variety of channels, including technology licensing and the import of capital goods and intermediate goods containing technology. Among these channels, hosting foreign companies and participating in relocations or global value chains is one of the most effective ways of acquiring technological and management know-how, not only directly by being involved in the management of these companies and trading with them, but also indirectly through technological spillovers within the companies, for example through the demonstration effect.</p>
    <p>Trade can also boost productivity and value added at the country level through a myriad of channels, including gains in specialization and the reallocation of resources. However, recent theoretical research shows that global value chains have altered the way trade is conducted, leading to new and ambiguous effects on its participants. This literature typically examines global value chains that link low-wage, developing countries (the South) to technologically advanced, high-wage, developed countries (the North). The differences between the two countries create incentives to exchange tasks or relocate, which in turn creates a set of advantages and drawbacks depending on the assumptions of the models. For example, in the dynamic model by <xref ref-type="bibr" rid="scirp.142568-49">
      Li and Liu (2014)
     </xref>, the South gains through a learning-by-doing process that improves productivity, while the North gains by becoming more productive by specializing in tasks for which it has a strong advantage. In this model, a final good is produced using a sequence of tasks, based on the assumption that for each task, unit labor requirements in the North are equal to or lower than those in the South. The development of global value chains enables the North and South to specialize in tasks according to their comparative advantage. Specialization enables the South to reduce its unit labor requirements through a learning-by-doing process, which in turn encourages the North to relocate more tasks to the South. Throughout the process, the South gains, but the North experiences a period of declining welfare because its comparative advantage deteriorates as the South becomes more productive in tasks performed by the North. Consequently, the overall effect of increased participation in global value chains on value added can be negative for the North but positive for the South.</p>
   </sec>
   <sec id="s2_3">
    <title>2.3. Theoretical Literature</title>
    <p>Classical theory explains that labor and capital are the main sources of production in the economy. Consequently, other factors, such as total factor productivity, do not receive the attention they deserve in the analysis. The neoclassical framework suggests that factor accumulation (labor and capital), including productivity growth, are the main sources of economic performance, and this has been widely debated in the literature (<xref ref-type="bibr" rid="scirp.142568-52">
      McMillan &amp; Rodrik, 2011
     </xref>; <xref ref-type="bibr" rid="scirp.142568-6">
      Akinlo &amp; Adejumo, 2016
     </xref>).</p>
    <p>However, economic theories do not provide a clear picture of the contribution of GVCs to total factor productivity (<xref ref-type="bibr" rid="scirp.142568-64">
      Stiglitz &amp; Pike, 2022
     </xref>; <xref ref-type="bibr" rid="scirp.142568-73">
      Young, 1991
     </xref>) argue that the participation of developing countries in GVCs can undermine their economic performance and discourage the growth of certain industries, limiting knowledge transfer and factor productivity growth. Other authors argue that GVCs can enhance overall productivity growth in various ways. In the context of imperfect conditions, GVCs can exert competitive pressure, improving the efficiency of resource allocation by encouraging firms to adopt a lower cost-price relationship. In addition, GVCs can reduce average cost and increase firm size, including efficiency of scale (<xref ref-type="bibr" rid="scirp.142568-24">
      Epifani, 2003
     </xref>). Then improving the position of countries in value chains is the best long-term strategy for preserving and increasing the benefits of their participation in GVCs (<xref ref-type="bibr" rid="scirp.142568-12">
      Benomar, El Bouanani, &amp; Ezziani, 2023a
     </xref>).</p>
    <p>Growth theory literature considers that economic openness can promote participation in global value chains and lead to economic expansion through changes in economies of scale, improved resource allocation, technological progress and total factor productivity (<xref ref-type="bibr" rid="scirp.142568-46">
      Kruger, 1985
     </xref>; <xref ref-type="bibr" rid="scirp.142568-40">
      Helpman &amp; Krugman, 1987
     </xref>; <xref ref-type="bibr" rid="scirp.142568-63">
      Rodrik, 1988
     </xref>; <xref ref-type="bibr" rid="scirp.142568-8">
      Barro &amp; Sala-i-Martin, 1995
     </xref>). This means that integration into the global economy can accelerate production efficiency and the pace of economic expansion. Global value chains can also improve factor productivity through trade intermediation, learning through interaction and the opening up of new market opportunities, as well as improving the country’s position in the chains. <xref ref-type="bibr" rid="scirp.142568-15">
      CNUCED (2013)
     </xref>, <xref ref-type="bibr" rid="scirp.142568-72">
      Yanikkaya &amp; Altun (2020)
     </xref> and <xref ref-type="bibr" rid="scirp.142568-28">
      Fessehaie &amp; Morris (2018)
     </xref> indicate that global value chains have the mechanism to improve an economy’s total factor productivity through technological spillovers and access to rare and sophisticated production mechanisms. However, <xref ref-type="bibr" rid="scirp.142568-37">
      Grossman &amp; Helpman (1991)
     </xref> support a restrictive policy, a policy against participation in GVCs, and point out that protectionism would help develop the domestic economy and protect against foreign pressures. Protection can also encourage investment in industrial research and development, which in turn promotes innovation in specific sectors.</p>
    <p>However, the question of whether or not GVCs promote productivity growth remains an empirical question that requires empirical answers. The few studies carried out in this field reveal some interesting but inconclusive results, while little is known about the case of developing countries (<xref ref-type="bibr" rid="scirp.142568-72">
      Yanikkaya &amp; Altun, 2020
     </xref>; <xref ref-type="bibr" rid="scirp.142568-27">
      Feng, Xin, &amp; Cui, 2020
     </xref>; <xref ref-type="bibr" rid="scirp.142568-50">
      Liu &amp; Saam, 2021
     </xref>).</p>
   </sec>
   <sec id="s2_4">
    <title>2.4. Empirical Literature</title>
    <p>One of the most frequently discussed issues concerning global value chains is their impact on productivity, given that productivity is an important factor influencing economic growth. A number of studies on global value chains, focusing on fragmented production at international level, have examined the relationship between delocalization—the commercial practice that consists of basing a company or part of a company in a different country and productivity (<xref ref-type="bibr" rid="scirp.142568-26">
      Feenstra &amp; Hanson, 1996
     </xref>; <xref ref-type="bibr" rid="scirp.142568-23">
      Egger &amp; Egger, 2006
     </xref>; <xref ref-type="bibr" rid="scirp.142568-7">
      Amiti &amp; Wei, 2009
     </xref>; <xref ref-type="bibr" rid="scirp.142568-70">
      Winkler, 2010
     </xref>). It has been shown theoretically and empirically that companies engaged in delocalization have higher productivity, and that delocalization tends to increase the productivity of delocalized companies as it allows companies to specialize in sub-processes with their comparative advantage. Furthermore, delocalization leads to increased access to new varieties of inputs for delocalized firms, improving their competitiveness. These discussions in terms of firms can also be formulated in terms of countries. Countries can improve their productivity by engaging in delocalization, as this enables them to specialize in the production of products with a comparative advantage (<xref ref-type="bibr" rid="scirp.142568-53">
      Mitra &amp; Ranjan, 2007
     </xref>; <xref ref-type="bibr" rid="scirp.142568-38">
      Grossman &amp; Rossi-Hansberg, 2007
     </xref>; <xref ref-type="bibr" rid="scirp.142568-17">
      Criscuolo, Timmis, &amp; Johnstone, 2016
     </xref>). To sum up, countries involved in global value chains through delocalized firms can improve their productivity.</p>
    <p>To this point, we have examined studies of the impact of global value chains on developed countries, now let’s move on to the impact of global value chains on developing countries, which participate in these chains by hosting firms of developed countries.</p>
    <p>The relationship between TFP and global value chains has not yet been well studied in developing countries. Developing economies are generally expected to benefit from the acquisition of intermediate goods and services from developed countries, which may be used to enhance productivity.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.142568-19">
      Del Prete, Giovannetti, &amp; Marvasi (2017)
     </xref> investigated if participation in global value chains boosted the competitiveness of local firms by increasing TFP and labor productivity, they used World Bank firm survey data for two North African countries, Egypt and Morocco, in 2004 and 2007. The results show that firms participating in global value chains perform better ex-ante (selection effect) and achieve additional productivity gains ex-post (learning effect).</p>
    <p>
     <xref ref-type="bibr" rid="scirp.142568-51">
      Lu, Sun, &amp; Chen (2016)
     </xref> analyzed the impact of Chinese firms’ participation in GVCs on TFP for the period 2000-2006, They found a non-linear Inverted-U-shaped relationship between participation in GVCs and productivity.</p>
    <p>De même (<xref ref-type="bibr" rid="scirp.142568-32">
      Ge et al., 2018
     </xref>) studied Chinese manufacturing firms for the period 2002-2007 and found that Chinese manufacturing firms benefited from a significant improvement in productivity due to their integration into the global value chain. Specifically, this effect is evident in capital-intensive, technology-intensive and general trading firms, while the effects are not evident in processing trading firms and labor-intensive firms.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.142568-10">
      Benkovskis, Masso, Tkacevs, Vahter, &amp; Yashiro (2020)
     </xref> examined the effect of exporting intermediate goods, re-exporting and exporting services on the productivity of Latvian firms for the period 2006-2014 and Estonian firms for the period 1995-2014, the results show that in both countries, exporters have a significantly higher level of productivity than non-exporters and their productivity is associated with learning-by-doing and the diffusion of knowledge and technology between nations.</p>
    <p>According to a study conducted by <xref ref-type="bibr" rid="scirp.142568-67">
      Urata &amp; Baek (2020)
     </xref> covering 47 countries between 1995 and 2011, the authors found that participation in global value chains, both in upstream and downstream stages, contributed to an increase in the total factor productivity for those countries, and that productivity improvement was greater when developing countries sourced intermediate goods from developed countries, or in the case of upstream participation.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.142568-4">
      Ajide (2023)
     </xref> studied 23 African countries between 2007 and 2018 and found that there is a positive and significant relationship between participation in global value chains and the total factor productivity of African economies. The results reveal that participation in GVCs provides access to a larger global market that local firms can explore to benefit from economies of scale and learn to use modern technologies and innovations, access cheaper and quality inputs for domestic production.</p>
    <p>The study by <xref ref-type="bibr" rid="scirp.142568-45">
      Kowalski, Gonzalez, Ragoussis, &amp; Ugarte (2015)
     </xref> covered 152 countries over the period 1995 and 2009 and revealed that the developing countries’ upstream participation in GVCs positively impacts the countries’ productivity, the productivity is represented by the overall national value added per capita incorporated in the country’s exports.</p>
    <p>Over the period 1995-2011, <xref ref-type="bibr" rid="scirp.142568-44">
      Kordalska, Wolszczak-Derlacz, &amp; Parteka (2016)
     </xref> studied 40 countries, and 20 industries (13 manufacturing and 7 service sectors). They found that there is a positive relationship between TFP growth and the share of foreign value added in exports. In particular, the positive impact of foreign value added on TFP growth occurs mainly in the manufacturing sectors.</p>
    <p>In the study by <xref ref-type="bibr" rid="scirp.142568-16">
      Constantinescu, Mattoo, &amp; Ruta (2017)
     </xref>, which covers 13 sectors in 40 countries, the authors found that participation in global value chains is an important driver of labor productivity. A 10% increase in the level of upstream participation in GVCs raises average productivity by almost 1.7%.</p>
    <p>After studying 20 industries and 54 countries between 1995, 2000, 2005 and 2008-2013 (<xref ref-type="bibr" rid="scirp.142568-48">
      Kummritz, 2016
     </xref>) found that DVX, the share of domestic value added exported, has a positive impact on national productivity (measured by labor productivity) at both industry and country level, and that the effects of GVC integration on productivity do not depend on a country’s stage of development.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.142568-72">
      Yanikkaya &amp; Altun (2020)
     </xref> used the Generalized Method of Moments (GMM) to analyze the impact of upstream and downstream participation in global value chains on total factor productivity over two periods: 1995-2011 and 2005-2015. The study shows that higher participation in GVCs improves total factor productivity.</p>
    <p>The study by <xref ref-type="bibr" rid="scirp.142568-71">
      Yanikkaya &amp; Altun (2018)
     </xref> empirically estimates the impact of participation in global value chains on TFP growth for the years 1995-2014 by using OECD-WTO TiVA data. Their results indicate a significant positive impact on upstream participation and a significant negative impact on downstream participation for the entire sample.</p>
    <p>Using the Eora Multi Regional Input-Output (MRIO) database for 125 countries and for the period 1997-2013, <xref ref-type="bibr" rid="scirp.142568-25">
      Fagerberg, Lundvall, &amp; Srholec (2018)
     </xref> indicate that participation in GVCs does not increase productivity growth and that small and low-capacity countries do not benefit from GVCs.</p>
    <p>In addition to participation in global value chains, many other determinants of Total Factor Productivity are taken into account in the literature. Among these are wages and the real effective exchange rate.</p>
    <p>Multinational firms tend to offer higher wages to their employees than local firms (<xref ref-type="bibr" rid="scirp.142568-36">
      Görg, Strobl, &amp; Walsh, 2007
     </xref>; <xref ref-type="bibr" rid="scirp.142568-68">
      Urban, 2010
     </xref>). Such wages are necessary to attract a highly skilled and productive local workforce (<xref ref-type="bibr" rid="scirp.142568-21">
      Driffield, 1996
     </xref>). To compete with foreign firms on the labor market, local firms need to be able to offer wage rates that are relatively similar to those of foreign firms. Indeed, an increase in wage rates implies an increase in the efficiency and productivity of local firms. Higher wages motivate workers to be more productive, prevent labor turnover, and attract highly skilled workers (<xref ref-type="bibr" rid="scirp.142568-5">
      Akerlof, 1982
     </xref>; <xref ref-type="bibr" rid="scirp.142568-42">
      Katz, 1986
     </xref>). <xref ref-type="bibr" rid="scirp.142568-33">
      Ghose &amp; Biswas (2000)
     </xref> finds that there is a positive association between real wages and TFP, and that real wages are considered as a TFP determinant. If the real wage is sufficiently high for a group of industries, skilled workers may be attracted to that industry, and if skills are considered as a positive determinant of TFP, it can be argued that if the wage increases through the involvement of skilled workers in the production process, productivity may increase.</p>
    <p>In his empirical studies (<xref ref-type="bibr" rid="scirp.142568-58">
      Pal &amp; Das, 2014
     </xref>) showed that there is a long-run relationship between total factor productivity and wages, <xref ref-type="bibr" rid="scirp.142568-47">
      Kumar, Webber, &amp; Perry (2012)
     </xref> showed that the wage rate and labor productivity are mutually related and positively correlated in the long run, <xref ref-type="bibr" rid="scirp.142568-43">
      Klein (2012)
     </xref> found that there is a long-run relationship (cointegration) between the real wage and labor productivity and that this relationship is weak in the short run; Similarly, <xref ref-type="bibr" rid="scirp.142568-55">
      Nayak &amp; Patra (2013)
     </xref> have examined the relationship between wage rates and productivity in the manufacturing sector and, on the basis of this analysis, they argue that wage rates and labour productivity are positively correlated. While <xref ref-type="bibr" rid="scirp.142568-69">
      Wakeford (2004)
     </xref> has shown that there is a long-term equilibrium relationship (cointegration) between real wages and productivity and that real wages have a negative impact on productivity in the short term. <xref ref-type="bibr" rid="scirp.142568-47">
      Kumar, Webber, &amp; Perry (2012)
     </xref> Assert that higher real wages result in greater work effort due to the higher opportunity cost of job loss. In addition, differences in real wages between firms lead to labor mobility, which in turn affects firm productivity (<xref ref-type="bibr" rid="scirp.142568-68">
      Urban, 2010
     </xref>; <xref ref-type="bibr" rid="scirp.142568-29">
      Fosfuri, Motta, &amp; Ronde, 2001
     </xref>; <xref ref-type="bibr" rid="scirp.142568-34">
      Glass &amp; Saggi, 2002
     </xref>). Since labor mobility occurs between foreign and local firms, any increase in the average wage of foreign firms should affect the TFP of aggregate manufacturing firms.</p>
    <p>The monetary policy and exchange rate of countries cannot be decided independently of the economy’s performance in terms of productivity. Although it is widely recognized that the exchange rate plays an important role as a potential source of productivity growth, the relationship between the exchange rate and productivity growth remains a work in progress.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.142568-59">
      Pandya &amp; Mehta (2015)
     </xref> show that the exchange rate plays an important role in increasing total factor productivity.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.142568-33">
      Ghose &amp; Biswas (2000)
     </xref> have attempted to explain TFP growth by taking into account the effect of the real effective exchange rate. The author concludes that the relative adjustment of the real effective exchange rate has contributed positively to total factor productivity growth.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.142568-39">
      Harris (2000)
     </xref> argues that, at the macroeconomic level, productivity is treated as an endogenous variable, in which the exchange rate regime is either fixed or floating. He points out that real exchange rate depreciations accelerate productivity growth in certain circumstances.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.142568-62">
      Richard (2001)
     </xref> has demonstrated, using a panel model, the positive short-term effects of exchange rate depreciation on productivity, which means that in the short term, the results are consistent with the competitiveness hypothesis, which suggests that exchange rate depreciations stimulate productivity growth in the short term, and that undervalued exchange rates have negative long-term consequences on productivity growth, in other words, real exchange rate depreciation has negative long-term consequences on productivity growth.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.142568-18">
      Darryl &amp; Elitza (2011)
     </xref> estimate a country-fixed-effects panel model to study TFP growth as a function of the real effective exchange rate and several standard control variables for 58 developing countries over the period 1975-2004. They find that a 10% depreciation in the real exchange rate is associated with a 0.2% increase in the average annual growth rate of total factor productivity (TFP).</p>
    <p>
     <xref ref-type="bibr" rid="scirp.142568-2">
      Aghion, Bacchetta, Ranciere, &amp; Rogoff (2006)
     </xref> and <xref ref-type="bibr" rid="scirp.142568-9">
      Benhima (2012)
     </xref> use a panel of 83 countries between 1960 and 2000 and find that the real exchange rate can have a non-negligible effect on productivity growth, and the impact is a function of countries’ level of financial development. The exchange rate acts negatively on productivity growth in countries with a low level of financial development, while it has no effect on countries with a high level of financial development.</p>
    <p>The results of <xref ref-type="bibr" rid="scirp.142568-20">
      Diallo (2012)
     </xref> show that real effective exchange rate volatility negatively affects total factor productivity growth, the author also found that the real effective exchange rate acts on total factor productivity depending on the level of financial development. For very low and very high levels of financial development, real exchange rate volatility has no effect on productivity growth, but for moderately financially developed countries, real exchange rate volatility reacts negatively on productivity.</p>
   </sec>
   <sec id="s2_5">
    <title>2.5. Research Hypothesis</title>
    <p>Based on this theoretical overview, we will attempt to empirically test the following hypotheses:</p>
    <p>H 1: Participation in GVCs can have a positive impact on total factor productivity.</p>
    <p>H 1-1: Upstream participation in GVCs can have a positive impact on total factor productivity.</p>
    <p>H 1-2: Downstream participation in GVCs can have a positive impact on total factor productivity.</p>
    <p>H 2: Wages can have a positive impact on total factor productivity.</p>
    <p>H 3: The real effective exchange rate may have a negative impact on total factor productivity.</p>
   </sec>
  </sec><sec id="s3">
   <title>3. Method and Data</title>
   <sec id="s3_1">
    <title>3.1. Econometric Estimation</title>
    <p>The various modeling steps are presented below.</p>
    <p>To assess data stationarity, we will first utilize the correlogram and then proceed with the traditional time-series methodology. The two most widely applied stationarity tests are the Augmented Dickey-Fuller (ADF) test (1981) and the Philips-Perron test. These tests are designed to determine whether a time series possesses a unit root, which would indicate non-stationarity.</p>
    <p>The ARDL (AutoRegressive Distributed Lag) model, developed by <xref ref-type="bibr" rid="scirp.142568-60">
      Pesaran et al. (2001)
     </xref>, is an econometric tool used to analyze both short- and long-term relationships between variables. It is particularly useful for modeling causal connections between a dependent variable and multiple explanatory variables.</p>
    <p>Cointegration between series indicates the presence of one or more long-term equilibrium relationships among them. When dealing with multiple integrated variables of different orders, such as I(0) and I(1), the “bounds cointegration test” developed by <xref ref-type="bibr" rid="scirp.142568-60">
      Pesaran et al. (2001)
     </xref>, can be used to determine the existence of long-term relationships between variables within an ARDL model.</p>
    <p>To assess the stability of the model, we will employ the CUSUM test and the CUSUM of squares test. These tests are used to evaluate the stability of the model’s parameters over time.</p>
    <p>The statistical validation phase involves evaluating the robustness of the model through various tests. These include the Lagrange Multiplier (LM) test for detecting residual autocorrelation, the Jarque-Bera test for assessing the normality of residuals, and the Breusch-Pagan-Godfrey tests for checking for heteroscedasticity.</p>
   </sec>
   <sec id="s3_2">
    <title>3.2. Data</title>
    <p>The objective of this study is to examine the relationship between participation in Global Value Chains (GVCs), both upstream and downstream, and total factor productivity. The data used for the analysis are annual time series spanning the period from 1991 to 2021, providing the longest possible timeframe for the study. This results in a sample comprising 31 observations. The data sources include the World Bank database, the OECD TiVA 2021 edition database, and the Penn World Table Version 10.0 database.</p>
    <p>Five variables will be used in this study: total factor productivity is the variable to be explained, upstream and downstream participation are the explanatory variables, while wages and the real effective exchange rate are the control variables.</p>
    <p>The following <xref ref-type="table" rid="table1">
      Table 1
     </xref> presents the study variables, the measurement indicator and source of each variable.</p>
    <table-wrap id="table1">
     <label>
      <xref ref-type="table" rid="table1">
       Table 1
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.142568-"></xref>Table 1. Presentation of model variable (Source: Authors).</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="18.73%"><p style="text-align:center">Variable</p></td> 
       <td class="custom-bottom-td acenter" width="31.72%"><p style="text-align:center">Indicator</p></td> 
       <td class="custom-bottom-td acenter" width="35.96%"><p style="text-align:center">Data source</p></td> 
       <td class="custom-bottom-td acenter" width="13.59%"><p style="text-align:center">Period</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="18.73%"><p style="text-align:center">Productivity</p></td> 
       <td class="custom-top-td acenter" width="31.72%"><p style="text-align:center">Total factorproductivity (TFP)</p></td> 
       <td class="custom-top-td acenter" width="35.96%"><p style="text-align:center">Penn World Table database, version 10.0 available at <xref ref-type="bibr" rid="scirp.142568-http://www.ggdc.net/pwt">
          http://www.ggdc.net/pwt
         </xref> </p></td> 
       <td class="custom-top-td acenter" width="13.59%"><p style="text-align:center">1991-2021</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="18.73%"><p style="text-align:center">Upstreamparticipation</p></td> 
       <td class="acenter" width="31.72%"><p style="text-align:center">Foreign valueadded/Gross exports</p></td> 
       <td class="acenter" width="35.96%"><p style="text-align:center">Trade in Value Added (TiVA) database</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">1991-2021</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="18.73%"><p style="text-align:center">Downstreamparticipation</p></td> 
       <td class="acenter" width="31.72%"><p style="text-align:center">Indirect local valueadded/Gross exports</p></td> 
       <td class="acenter" width="35.96%"><p style="text-align:center">Value-added trade database (TiVA)</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">1991-2021</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="18.73%"><p style="text-align:center">Employeecompensation</p></td> 
       <td class="acenter" width="31.72%"><p style="text-align:center">Compensation ofemployees (% of expenses)</p></td> 
       <td class="acenter" width="35.96%"><p style="text-align:center">World Bank database</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">1991-2021</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="18.73%"><p style="text-align:center">Real effectiveexchange rate</p></td> 
       <td class="acenter" width="31.72%"><p style="text-align:center">Real effective exchangerate (2010 = 100)</p></td> 
       <td class="acenter" width="35.96%"><p style="text-align:center">World Bank database</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">1991-2021</p></td> 
      </tr> 
     </table>
    </table-wrap>
   </sec>
  </sec><sec id="s4">
   <title>4. Results</title>
   <p>Before conducting any analysis, we transformed the variables into logarithmic form. This step helps facilitate interpretation and addresses issues related to non-normality, non-linearity, and heteroscedasticity in the data series.</p>
   <sec id="s4_1">
    <title>4.1. Descriptive Study</title>
    <p>This phase is used to describe and analyze the data by calculating position, dispersion and normality indicators. The following <xref ref-type="table" rid="table2">
      Table 2
     </xref> shows these calculations using Eviews 12.</p>
    <table-wrap id="table2">
     <label>
      <xref ref-type="table" rid="table2">
       Table 2
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.142568-"></xref>Table 2. Descriptive study of the model’s variables (Source: Authors:our estimates on Eviews 12).</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="19.05%"><p style="text-align:center">Statistic</p></td> 
       <td class="custom-bottom-td acenter" width="15.71%"><p style="text-align:center">Log PTF</p></td> 
       <td class="custom-bottom-td acenter" width="17.61%"><p style="text-align:center">Log</p><p style="text-align:center">Downstream</p><p style="text-align:center">Participation</p></td> 
       <td class="custom-bottom-td acenter" width="16.18%"><p style="text-align:center">Log</p><p style="text-align:center">Upstream</p><p style="text-align:center">Participation</p></td> 
       <td class="custom-bottom-td acenter" width="18.50%"><p style="text-align:center">Log</p><p style="text-align:center">Compensation</p><p style="text-align:center">of Employees</p></td> 
       <td class="custom-bottom-td acenter" width="12.95%"><p style="text-align:center">LogREER</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="19.05%"><p style="text-align:center">Mean</p></td> 
       <td class="custom-top-td acenter" width="15.71%"><p style="text-align:center">−0.241238</p></td> 
       <td class="custom-top-td acenter" width="17.61%"><p style="text-align:center">−0.660016</p></td> 
       <td class="custom-top-td acenter" width="16.18%"><p style="text-align:center">−0.548737</p></td> 
       <td class="custom-top-td acenter" width="18.50%"><p style="text-align:center">1.659705</p></td> 
       <td class="custom-top-td acenter" width="12.95%"><p style="text-align:center">2.015273</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.05%"><p style="text-align:center">Median</p></td> 
       <td class="acenter" width="15.71%"><p style="text-align:center">−0.246317</p></td> 
       <td class="acenter" width="17.61%"><p style="text-align:center">−0.665848</p></td> 
       <td class="acenter" width="16.18%"><p style="text-align:center">−0.555542</p></td> 
       <td class="acenter" width="18.50%"><p style="text-align:center">1.656794</p></td> 
       <td class="acenter" width="12.95%"><p style="text-align:center">2.014209</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.05%"><p style="text-align:center">Maximum</p></td> 
       <td class="acenter" width="15.71%"><p style="text-align:center">0.090898</p></td> 
       <td class="acenter" width="17.61%"><p style="text-align:center">−0.544084</p></td> 
       <td class="acenter" width="16.18%"><p style="text-align:center">−0.340513</p></td> 
       <td class="acenter" width="18.50%"><p style="text-align:center">1.717107</p></td> 
       <td class="acenter" width="12.95%"><p style="text-align:center">2.060137</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.05%"><p style="text-align:center">Minimum</p></td> 
       <td class="acenter" width="15.71%"><p style="text-align:center">−0.29232</p></td> 
       <td class="acenter" width="17.61%"><p style="text-align:center">−0.758506</p></td> 
       <td class="acenter" width="16.18%"><p style="text-align:center">−0.722257</p></td> 
       <td class="acenter" width="18.50%"><p style="text-align:center">1.615411</p></td> 
       <td class="acenter" width="12.95%"><p style="text-align:center">1.979472</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.05%"><p style="text-align:center">Std. Dev.</p></td> 
       <td class="acenter" width="15.71%"><p style="text-align:center">0.043962</p></td> 
       <td class="acenter" width="17.61%"><p style="text-align:center">0.054434</p></td> 
       <td class="acenter" width="16.18%"><p style="text-align:center">0.11863</p></td> 
       <td class="acenter" width="18.50%"><p style="text-align:center">0.022479</p></td> 
       <td class="acenter" width="12.95%"><p style="text-align:center">0.024749</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.05%"><p style="text-align:center">Skewness</p></td> 
       <td class="acenter" width="15.71%"><p style="text-align:center">1.40674</p></td> 
       <td class="acenter" width="17.61%"><p style="text-align:center">0.209045</p></td> 
       <td class="acenter" width="16.18%"><p style="text-align:center">0.153057</p></td> 
       <td class="acenter" width="18.50%"><p style="text-align:center">0.369401</p></td> 
       <td class="acenter" width="12.95%"><p style="text-align:center">0.269393</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.05%"><p style="text-align:center">Kurtosis</p></td> 
       <td class="acenter" width="15.71%"><p style="text-align:center">5.076244</p></td> 
       <td class="acenter" width="17.61%"><p style="text-align:center">2.483387</p></td> 
       <td class="acenter" width="16.18%"><p style="text-align:center">1.731917</p></td> 
       <td class="acenter" width="18.50%"><p style="text-align:center">2.511769</p></td> 
       <td class="acenter" width="12.95%"><p style="text-align:center">1.901094</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.05%"><p style="text-align:center">Jarque-Bera</p></td> 
       <td class="acenter" width="15.71%"><p style="text-align:center">15.79251</p></td> 
       <td class="acenter" width="17.61%"><p style="text-align:center">0.570513</p></td> 
       <td class="acenter" width="16.18%"><p style="text-align:center">2.198081</p></td> 
       <td class="acenter" width="18.50%"><p style="text-align:center">1.119752</p></td> 
       <td class="acenter" width="12.95%"><p style="text-align:center">1.936275</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.05%"><p style="text-align:center">Probability</p></td> 
       <td class="acenter" width="15.71%"><p style="text-align:center">0.000372</p></td> 
       <td class="acenter" width="17.61%"><p style="text-align:center">0.751821</p></td> 
       <td class="acenter" width="16.18%"><p style="text-align:center">0.333191</p></td> 
       <td class="acenter" width="18.50%"><p style="text-align:center">0.57128</p></td> 
       <td class="acenter" width="12.95%"><p style="text-align:center">0.379709</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.05%"><p style="text-align:center">Sum</p></td> 
       <td class="acenter" width="15.71%"><p style="text-align:center">−7.478379</p></td> 
       <td class="acenter" width="17.61%"><p style="text-align:center">−20.46048</p></td> 
       <td class="acenter" width="16.18%"><p style="text-align:center">−17.01084</p></td> 
       <td class="acenter" width="18.50%"><p style="text-align:center">51.45086</p></td> 
       <td class="acenter" width="12.95%"><p style="text-align:center">62.47345</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.05%"><p style="text-align:center">Sum Sq. Dev.</p></td> 
       <td class="acenter" width="15.71%"><p style="text-align:center">0.057979</p></td> 
       <td class="acenter" width="17.61%"><p style="text-align:center">0.088598</p></td> 
       <td class="acenter" width="16.18%"><p style="text-align:center">0.422195</p></td> 
       <td class="acenter" width="18.50%"><p style="text-align:center">0.021079</p></td> 
       <td class="acenter" width="12.95%"><p style="text-align:center">0.015159</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.05%"><p style="text-align:center">Observations</p></td> 
       <td class="acenter" width="15.71%"><p style="text-align:center">31</p></td> 
       <td class="acenter" width="17.61%"><p style="text-align:center">31</p></td> 
       <td class="acenter" width="16.18%"><p style="text-align:center">31</p></td> 
       <td class="acenter" width="18.50%"><p style="text-align:center">31</p></td> 
       <td class="acenter" width="12.95%"><p style="text-align:center">31</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>This descriptive study shows that all variables have a normal distribution, except for TFP, since Jarque Bera probabilities are greater than 5%.</p>
    <p>The skewness coefficient indicates the presence of leftward skewness for all variables, since the coefficients are &gt;0.</p>
    <p>The Kurtosis coefficient indicates that the distribution of (PTF) is pointed (as this coefficient is greater than 3), while the other variables are flatter than the normal distribution.</p>
   </sec>
   <sec id="s4_2">
    <title>4.2. Graphical Study</title>
    <p>The graphical visualization (<xref ref-type="fig" rid="fig1">
      Figure 1
     </xref>) of the variables provides an opportunity to observe their variations over the period from 1991 to 2021. This visual analysis helps in understanding the trends and patterns in the data across the entire timeframe.</p>
    <fig id="fig1" position="float">
     <label>Figure 1</label>
     <caption>
      <title>Figure 1. Graphical representation of model variables (Source: Authors our graphics on Eviews 12).</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1534462-rId15.jpeg?20250514112035" />
    </fig>
    <p>After an initial visualization of the series graphs, it appears that upstream participation, designated by log upstream participation, downstream participation, designated by log downstream participation, and the real effective exchange rate, designated by log REER, are not stationary in level. On the other hand, the evolution of total factor productivity, designated by log PTF, and wages, designated by log compensation of employees (% of expense), allow us to assume that these variables are stationary in level.</p>
   </sec>
   <sec id="s4_3">
    <title>4.3. Stationarity Tests</title>
    <p>To determine the degree of integration for each variable, we will test the stationarity of the series to ensure that none of them is integrated of order greater than one. We will utilize the Augmented Dickey-Fuller (ADF) test and the Phillips-Perron (PP) test for this purpose. The results of these tests are summarized in <xref ref-type="table" rid="table3">
      Table 3
     </xref> below.</p>
    <table-wrap id="table3">
     <label>
      <xref ref-type="table" rid="table3">
       Table 3
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.142568-"></xref>Table 3. Augmented-Dickey Fuller et Phillips-Perron test (Source: Authors our estimates on Eviews 12).</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td rowspan="2" class="acenter" width="14.03%"><p style="text-align:center">Test</p></td> 
       <td class="custom-bottom-td acenter" width="41.66%" colspan="5"><p style="text-align:center">Dickey Fuller Augmented</p></td> 
       <td class="custom-bottom-td acenter" width="44.31%" colspan="5"><p style="text-align:center">Philips Perron</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.07%" colspan="2"><p style="text-align:center">Level</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.32%" colspan="2"><p style="text-align:center">1st Difference</p></td> 
       <td rowspan="2" class="custom-top-td acenter" width="11.27%"><p style="text-align:center">Ordred’integration</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.92%" colspan="2"><p style="text-align:center">Level</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.34%" colspan="2"><p style="text-align:center">1st Difference</p></td> 
       <td rowspan="2" class="custom-top-td acenter" width="12.05%"><p style="text-align:center">Ordred’integration</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.03%"><p style="text-align:center">Variable</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="9.06%"><p style="text-align:center">Statistic</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="7.01%"><p style="text-align:center">P-Value</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="7.31%"><p style="text-align:center">Statistic</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="7.01%"><p style="text-align:center">P-Value</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="9.17%"><p style="text-align:center">Statistic</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="7.74%"><p style="text-align:center">P-Value</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="8.33%"><p style="text-align:center">Statistic</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="7.01%"><p style="text-align:center">P-Value</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="14.03%"><p style="text-align:center">Log PTF</p></td> 
       <td class="custom-top-td acenter" width="9.06%"><p style="text-align:center">−4.328878</p></td> 
       <td class="custom-top-td acenter" width="7.01%"><p style="text-align:center">0.0039</p></td> 
       <td class="custom-top-td acenter" width="7.31%"><p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="7.01%"><p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="11.27%"><p style="text-align:center">I (0)</p></td> 
       <td class="custom-top-td acenter" width="9.17%"><p style="text-align:center">−4.693708</p></td> 
       <td class="custom-top-td acenter" width="7.74%"><p style="text-align:center">0.0007</p></td> 
       <td class="custom-top-td acenter" width="8.33%"><p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="7.01%"><p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="12.05%"><p style="text-align:center">I (0)</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.03%"><p style="text-align:center">LogCompensationof employees(% of expense)</p></td> 
       <td class="acenter" width="9.06%"><p style="text-align:center">−3.660736</p></td> 
       <td class="acenter" width="7.01%"><p style="text-align:center">0.011</p></td> 
       <td class="acenter" width="7.31%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="7.01%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="11.27%"><p style="text-align:center">I (0)</p></td> 
       <td class="acenter" width="9.17%"><p style="text-align:center">−3.325538</p></td> 
       <td class="acenter" width="7.74%"><p style="text-align:center">0.0225</p></td> 
       <td class="acenter" width="8.33%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="7.01%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="12.05%"><p style="text-align:center">I (0)</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.03%"><p style="text-align:center">LogDownstreamParticipation</p></td> 
       <td class="acenter" width="9.06%"><p style="text-align:center">0.06166</p></td> 
       <td class="acenter" width="7.01%"><p style="text-align:center">0.6948</p></td> 
       <td class="acenter" width="7.31%"><p style="text-align:center">−5.51722</p></td> 
       <td class="acenter" width="7.01%"><p style="text-align:center">0</p></td> 
       <td class="acenter" width="11.27%"><p style="text-align:center">I (1)</p></td> 
       <td class="acenter" width="9.17%"><p style="text-align:center">0.069258</p></td> 
       <td class="acenter" width="7.74%"><p style="text-align:center">0.6972</p></td> 
       <td class="acenter" width="8.33%"><p style="text-align:center">−5.517557</p></td> 
       <td class="acenter" width="7.01%"><p style="text-align:center">0</p></td> 
       <td class="acenter" width="12.05%"><p style="text-align:center">I (1)</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.03%"><p style="text-align:center">Log REER</p></td> 
       <td class="acenter" width="9.06%"><p style="text-align:center">0.196775</p></td> 
       <td class="acenter" width="7.01%"><p style="text-align:center">0.7364</p></td> 
       <td class="acenter" width="7.31%"><p style="text-align:center">−4.2518</p></td> 
       <td class="acenter" width="7.01%"><p style="text-align:center">0.0001</p></td> 
       <td class="acenter" width="11.27%"><p style="text-align:center">I (1)</p></td> 
       <td class="acenter" width="9.17%"><p style="text-align:center">0.149992</p></td> 
       <td class="acenter" width="7.74%"><p style="text-align:center">0.7223</p></td> 
       <td class="acenter" width="8.33%"><p style="text-align:center">−4.280578</p></td> 
       <td class="acenter" width="7.01%"><p style="text-align:center">0.0001</p></td> 
       <td class="acenter" width="12.05%"><p style="text-align:center">I (1)</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.03%"><p style="text-align:center">LogUpstreamParticipation</p></td> 
       <td class="acenter" width="9.06%"><p style="text-align:center">−0.770629</p></td> 
       <td class="acenter" width="7.01%"><p style="text-align:center">0.3739</p></td> 
       <td class="acenter" width="7.31%"><p style="text-align:center">−5.3338</p></td> 
       <td class="acenter" width="7.01%"><p style="text-align:center">0</p></td> 
       <td class="acenter" width="11.27%"><p style="text-align:center">I (1)</p></td> 
       <td class="acenter" width="9.17%"><p style="text-align:center">−0.772755</p></td> 
       <td class="acenter" width="7.74%"><p style="text-align:center">0.373</p></td> 
       <td class="acenter" width="8.33%"><p style="text-align:center">−5.333869</p></td> 
       <td class="acenter" width="7.01%"><p style="text-align:center">0</p></td> 
       <td class="acenter" width="12.05%"><p style="text-align:center">I (1)</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>The Augmented-Dickey Fuller and Phillips Perron test shows that upstream participation, downstream participation and the real effective exchange rate are stationary in first difference, meaning they are integrated of order 1, while Total Factor Productivity and employee compensation are stationary in level, meaning the variables are integrated of order 0. The most appropriate model is the Autoregressive Distributed Lag model-ARDL.</p>
   </sec>
   <sec id="s4_4">
    <title>4.4. ARDL Model Estimation</title>
    <p>To select the optimal ARDL model, which provides statistically significant results with the fewest parameters, we will use Akaike’s Information Criterion (AIC). This criterion helps identify the model that balances goodness-of-fit with model complexity.</p>
    <p>
     <xref ref-type="fig" rid="fig2">
      Figure 2
     </xref> indicates that the ARDL (4, 4, 4, 4, 3) model is the most optimal among the 19 models tested, as it has the lowest AIC value. This model not only provides statistically significant results but also has its coefficients estimated, as shown in <xref ref-type="table" rid="table4">
      Table 4
     </xref>.</p>
    <fig id="fig2" position="float">
     <label>Figure 2</label>
     <caption>
      <title>Figure 2. Optimal ARDL model. Source: Authors Our graphics on Eviews 12).</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1534462-rId16.jpeg?20250514112035" />
    </fig>
    <table-wrap id="table4">
     <label>
      <xref ref-type="table" rid="table4">
       Table 4
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.142568-"></xref>Table 4. Estimation of optimal ARDL model (Source: Authors our estimates on Eviews 12).</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="100.00%" colspan="5"><p style="text-align:center">Dependent Variable: LOG_PTF</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="100.00%" colspan="5"><p style="text-align:center">Method: ARDL</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="100.00%" colspan="5"><p style="text-align:center">Date: 03/19/25 Time: 16:03</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="100.00%" colspan="5"><p style="text-align:center">Sample (adjusted): 1995 2021</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="100.00%" colspan="5"><p style="text-align:center">Included observations: 27 after adjustments</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="100.00%" colspan="5"><p style="text-align:center">Maximum dependent lags: 4 (Automatic selection)</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="100.00%" colspan="5"><p style="text-align:center">Model selection method: Akaike info criterion (AIC)</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="100.00%" colspan="5"><p style="text-align:center">Dynamic regressors (4 lags, automatic): LOG_REER LOG_DOWNSTREAM</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="100.00%" colspan="5"><p style="text-align:center">PARTICIPATION LOG_COMPENSATION_OF_EMPLOYEES_OF_EXPENSE_LOG_UPSTREAM_PARTICIPATION</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="100.00%" colspan="5"><p style="text-align:center">Fixed regressors: C</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="100.00%" colspan="5"><p style="text-align:center">Number of models evaluated: 2500</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="100.00%" colspan="5"><p style="text-align:center">Selected Model: ARDL (4, 4, 4, 4, 3)</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="44.91%"><p style="text-align:center">Variable</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.90%"><p style="text-align:center">Coefficient</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="12.35%"><p style="text-align:center">Std.Error</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.25%"><p style="text-align:center">Statistic</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="13.59%"><p style="text-align:center">Prob*</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="44.91%"><p style="text-align:center">LOG_PTF (−1)</p></td> 
       <td class="custom-top-td acenter" width="14.90%"><p style="text-align:center">0.019428</p></td> 
       <td class="custom-top-td acenter" width="12.35%"><p style="text-align:center">0.151721</p></td> 
       <td class="custom-top-td acenter" width="14.25%"><p style="text-align:center">0.128053</p></td> 
       <td class="custom-top-td acenter" width="13.59%"><p style="text-align:center">0.9062</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">LOG_PTF (−2)</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">−0.513144</p></td> 
       <td class="acenter" width="12.35%"><p style="text-align:center">0.260071</p></td> 
       <td class="acenter" width="14.25%"><p style="text-align:center">−1.973095</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.1430</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">LOG_PTF (−3)</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">−0.860395</p></td> 
       <td class="acenter" width="12.35%"><p style="text-align:center">0.266768</p></td> 
       <td class="acenter" width="14.25%"><p style="text-align:center">−3.225252</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.0484</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">LOG_PTF (−4)</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">0.300213</p></td> 
       <td class="acenter" width="12.35%"><p style="text-align:center">0.260072</p></td> 
       <td class="acenter" width="14.25%"><p style="text-align:center">1.154346</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.3320</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">LOG_REER</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">−1.265310</p></td> 
       <td class="acenter" width="12.35%"><p style="text-align:center">0.301047</p></td> 
       <td class="acenter" width="14.25%"><p style="text-align:center">−4.203036</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.0246</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">LOG_REER (−1)</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">1.441959</p></td> 
       <td class="acenter" width="12.35%"><p style="text-align:center">0.601791</p></td> 
       <td class="acenter" width="14.25%"><p style="text-align:center">2.396113</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.0962</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">LOG_REER (−2)</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">0.295621</p></td> 
       <td class="acenter" width="12.35%"><p style="text-align:center">0.368746</p></td> 
       <td class="acenter" width="14.25%"><p style="text-align:center">0.801691</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.4814</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">LOG_REER (−3)</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">−1.093043</p></td> 
       <td class="acenter" width="12.35%"><p style="text-align:center">0.377614</p></td> 
       <td class="acenter" width="14.25%"><p style="text-align:center">−2.894605</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.0628</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">LOG_REER (−4)</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">−0.840147</p></td> 
       <td class="acenter" width="12.35%"><p style="text-align:center">0.302849</p></td> 
       <td class="acenter" width="14.25%"><p style="text-align:center">−2.774142</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.0693</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">LOG_DOWNSTREAM_PARTICIPATION</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">0.796305</p></td> 
       <td class="acenter" width="12.35%"><p style="text-align:center">0.142763</p></td> 
       <td class="acenter" width="14.25%"><p style="text-align:center">5.577791</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.0114</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">LOG_DOWNSTREAM</p><p style="text-align:center">PARTICIPATION (−1)</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">−0.016143</p></td> 
       <td class="acenter" width="12.35%"><p style="text-align:center">0.090028</p></td> 
       <td class="acenter" width="14.25%"><p style="text-align:center">−0.179307</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.8691</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">LOG_DOWNSTREAM</p><p style="text-align:center">PARTICIPATION (−2)</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">0.090483</p></td> 
       <td class="acenter" width="12.35%"><p style="text-align:center">0.123863</p></td> 
       <td class="acenter" width="14.25%"><p style="text-align:center">0.730511</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.5180</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">LOG_DOWNSTREAM</p><p style="text-align:center">PARTICIPATION (−3)</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">0.369173</p></td> 
       <td class="acenter" width="12.35%"><p style="text-align:center">0.129624</p></td> 
       <td class="acenter" width="14.25%"><p style="text-align:center">2.848039</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.0652</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">LOG_DOWNSTREAM</p><p style="text-align:center">PARTICIPATION (−4)</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">−0.184631</p></td> 
       <td class="acenter" width="12.35%"><p style="text-align:center">0.196014</p></td> 
       <td class="acenter" width="14.25%"><p style="text-align:center">−0.941928</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.4157</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">LOG_UPSTREAM PARTICIPATION</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">−0.301750</p></td> 
       <td class="acenter" width="12.35%"><p style="text-align:center">0.095556</p></td> 
       <td class="acenter" width="14.25%"><p style="text-align:center">−3.157845</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.0510</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">LOG_UPSTREAM_PARTICIPATION (−1)</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">−0.001280</p></td> 
       <td class="acenter" width="12.35%"><p style="text-align:center">0.074558</p></td> 
       <td class="acenter" width="14.25%"><p style="text-align:center">−0.017168</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.9874</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">LOG_UPSTREAM_PARTICIPATION (−2)</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">−0.236289</p></td> 
       <td class="acenter" width="12.35%"><p style="text-align:center">0.109798</p></td> 
       <td class="acenter" width="14.25%"><p style="text-align:center">−2.152036</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.1205</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">LOG_UPSTREAM_PARTICIPATION (−3)</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">−0.121937</p></td> 
       <td class="acenter" width="12.35%"><p style="text-align:center">0.095809</p></td> 
       <td class="acenter" width="14.25%"><p style="text-align:center">−1.272707</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.2928</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">LOG_UPSTREAM_PARTICIPATION (−4)</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">−0.092047</p></td> 
       <td class="acenter" width="12.35%"><p style="text-align:center">0.136397</p></td> 
       <td class="acenter" width="14.25%"><p style="text-align:center">−0.674850</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.5481</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">LOG_COMPENSATION_OF_EMPLOYEES</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">0.745733</p></td> 
       <td class="acenter" width="12.35%"><p style="text-align:center">0.278876</p></td> 
       <td class="acenter" width="14.25%"><p style="text-align:center">2.674066</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.0754</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">LOG_COMPENSATION_OF_EMPLOYEES. (−1)</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">−0.082340</p></td> 
       <td class="acenter" width="12.35%"><p style="text-align:center">0.161216</p></td> 
       <td class="acenter" width="14.25%"><p style="text-align:center">−0.510741</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.6447</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">LOG_COMPENSATION_OF_EMPLOYEES. (−2)</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">−0.323031</p></td> 
       <td class="acenter" width="12.35%"><p style="text-align:center">0.136751</p></td> 
       <td class="acenter" width="14.25%"><p style="text-align:center">−2.368778</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.0986</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">LOG_COMPENSATION_OF_EMPLOYEES. (−3)</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">0.386085</p></td> 
       <td class="acenter" width="12.35%"><p style="text-align:center">0.195154</p></td> 
       <td class="acenter" width="14.25%"><p style="text-align:center">1.978368</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.1423</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">c</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">1.515175</p></td> 
       <td class="acenter" width="12.35%"><p style="text-align:center">1.058725</p></td> 
       <td class="acenter" width="14.25%"><p style="text-align:center">1.431132</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.2478</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">R-squared</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">0.994617</p></td> 
       <td class="acenter" width="26.59%" colspan="2"><p style="text-align:center">Mean dependent var</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">−0.254017</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">Adjusted R-squared</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">0.953348</p></td> 
       <td class="acenter" width="26.59%" colspan="2"><p style="text-align:center">SD. Dependent var</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">0.026828</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">SE.of regression</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">0.005795</p></td> 
       <td class="acenter" width="26.59%" colspan="2"><p style="text-align:center">Akaike info criterion</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">−7.883250</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">Sum squared resid</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">0.000101</p></td> 
       <td class="acenter" width="26.59%" colspan="2"><p style="text-align:center">Schwarz criterion</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">−6.731395</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">Log likelihood</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">130.4239</p></td> 
       <td class="acenter" width="26.59%" colspan="2"><p style="text-align:center">Hannan-Quinn criter</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">−7.540743</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">F-statistic</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">24.10091</p></td> 
       <td class="acenter" width="26.59%" colspan="2"><p style="text-align:center">Durbin-Watson stat</p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center">3.222608</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="44.91%"><p style="text-align:center">Prob (F-statistic)</p></td> 
       <td class="acenter" width="14.90%"><p style="text-align:center">0.011561</p></td> 
       <td class="acenter" width="26.59%" colspan="2"><p style="text-align:center"></p></td> 
       <td class="acenter" width="13.59%"><p style="text-align:center"></p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>*Note: P-values and any subsequent tests do not account for model selection.</p>
    <p>The validity of our model requires confirmation using a set of hypothesis, we perform the following robustness tests: Jarque-Bera test for normality of residuals, Breusch Pagan-Godfrey test for Heteroscedasticity, Lagrange Multiplier (LM) test for autocorrelation of residuals, white noise test for residuals, and CUSUM and CUSUM of square test for model stability.</p>
    <p>
     <xref ref-type="table" rid="table5">
      Table 5
     </xref> shows the results of these tests:</p>
    <table-wrap id="table5">
     <label>
      <xref ref-type="table" rid="table5">
       Table 5
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.142568-"></xref>Table 5. ARDL model hypothesis test (4, 4, 4, 4, 3) (Source: Authors (Our estimates on Eviews 12)).</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="100.00%" colspan="4"><p style="text-align:center">ARDL Model: (4, 4, 4, 4, 3)</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="41.93%"><p style="text-align:center">Null hypothesis to be tested (H0)</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="30.87%"><p style="text-align:center">Test applied</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.46%"><p style="text-align:center">Statistic</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="12.74%"><p style="text-align:center">P-value</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="41.93%"><p style="text-align:center">There is normality of errors.</p></td> 
       <td class="custom-top-td acenter" width="30.87%"><p style="text-align:center">Jarque-Bera</p></td> 
       <td class="custom-top-td acenter" width="14.46%"><p style="text-align:center">0.954096</p></td> 
       <td class="custom-top-td acenter" width="12.74%"><p style="text-align:center">0.620613</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="41.93%"><p style="text-align:center">No autocorrelation of errors</p></td> 
       <td class="acenter" width="30.87%"><p style="text-align:center">LM test</p></td> 
       <td class="acenter" width="14.46%"><p style="text-align:center">6.844814</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">0.2609</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="41.93%"><p style="text-align:center">Homoscedasticity of errors.</p></td> 
       <td class="acenter" width="30.87%"><p style="text-align:center">Breusch-Pagan-Godfrey</p></td> 
       <td class="acenter" width="14.46%"><p style="text-align:center">0.602799</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">0.7964</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>The probability of the statistic for the 3 tests is greater than 5%. This means that the H0 hypothesis is accepted in all these tests. The errors are uncorrelated, homoscedastic and normally distributed as shown in <xref ref-type="fig" rid="figA1">
      Figure A1
     </xref>, <xref ref-type="table" rid="tableA1">
      Table A1
     </xref> and <xref ref-type="table" rid="tableA2">
      Table A2
     </xref> in the Appendix.</p>
    <p>The white noise test aims to verify that the residuals between the observed values and those estimated by the model behave like white noise. From <xref ref-type="fig" rid="fig3">
      Figure 3
     </xref>, it is evident that for all lags k, the test probability remains consistently above 0.05. This indicates that all terms in the correlogram fall within the two corridors: one for autocorrelation and the other for partial autocorrelation. Since none of the terms in the correlogram fall outside the stylized dotted band, it confirms that the residuals of the estimated model exhibit white noise characteristics.</p>
    <fig id="fig3" position="float">
     <label>Figure 3</label>
     <caption>
      <title>Figure 3. White noise test of squared residuals (Source: Authors (our estimates on Eviews 12).</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1534462-rId17.jpeg?20250514112035" />
    </fig>
    <p>Based on the results of the CUSUM test and the CUSUM of the square test (<xref ref-type="fig" rid="fig4">
      Figure 4
     </xref> and <xref ref-type="fig" rid="fig5">
      Figure 5
     </xref>), we can say that the estimated model is stable (as the curve does not leave the dotted corridor). So the coefficients are stable over time.</p>
    <fig id="fig4" position="float">
     <label>Figure 4</label>
     <caption>
      <title>Figure 4. ARDL model (4, 4, 4, 4, 3) stability CUSUM test (Source: Authors (our graphics on Eviews 12).</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1534462-rId18.jpeg?20250514112035" />
    </fig>
    <fig id="fig5" position="float">
     <label>Figure 5</label>
     <caption>
      <title>Figure 5. ARDL model (4, 4, 4, 4, 3) stability CUSUM of Squares test (Source: Authors our graphics on Eviews 12).</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1534462-rId19.jpeg?20250514112035" />
    </fig>
    <p>In short, the results of the various diagnostic tests have led to the statistical validation of our ARDL (4, 4, 4, 4, 3) model.</p>
    <p>The results of the bounds cointegration test in <xref ref-type="table" rid="table6">
      Table 6
     </xref> confirm the existence of a cointegrating relationship between TFP (productivity) and indirect local value-added content (downstream participation) and foreign value-added content (upstream participation), Compensation of employees and real effective exchange rate, since the value of F-statistic = 13.14723 is greater than the upper bound for the different significance levels (1%, 5% and 10%). We therefore reject the H0 hypothesis of no long-term relationship, and conclude that there is a long-term relationship between the different variables.</p>
    <table-wrap id="table6">
     <label>
      <xref ref-type="table" rid="table6">
       Table 6
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.142568-"></xref>Table 6. Peseran 2001 cointegration test (Bound test) (Source: Authors our estimates on Eviews 12).</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="28.93%"><p style="text-align:center">F-Bounds Test</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.58%"><p style="text-align:center"></p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="55.48%" colspan="3"><p style="text-align:center">Null Hypothesis: No levels relationship</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="28.93%"><p style="text-align:center">Test Statistic</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.58%"><p style="text-align:center">Value</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="20.02%"><p style="text-align:center">Signit.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="17.73%"><p style="text-align:center">I (0)</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="17.73%"><p style="text-align:center">I (1)</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="28.93%"><p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="15.58%"><p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="55.48%" colspan="3"><p style="text-align:center">Asymptotic: n = 1000</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="28.93%"><p style="text-align:center">F-statistic</p></td> 
       <td class="acenter" width="15.58%"><p style="text-align:center">13.14723</p></td> 
       <td class="acenter" width="20.02%"><p style="text-align:center">10%</p></td> 
       <td class="acenter" width="17.73%"><p style="text-align:center">2.2</p></td> 
       <td class="acenter" width="17.73%"><p style="text-align:center">3.09</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="28.93%"><p style="text-align:center">k</p></td> 
       <td class="acenter" width="15.58%"><p style="text-align:center">4</p></td> 
       <td class="acenter" width="20.02%"><p style="text-align:center">5%</p></td> 
       <td class="acenter" width="17.73%"><p style="text-align:center">2.56</p></td> 
       <td class="acenter" width="17.73%"><p style="text-align:center">3.49</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="28.93%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="15.58%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="20.02%"><p style="text-align:center">2.5%</p></td> 
       <td class="acenter" width="17.73%"><p style="text-align:center">2.88</p></td> 
       <td class="acenter" width="17.73%"><p style="text-align:center">3.87</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td acenter" width="28.93%"><p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="15.58%"><p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="20.02%"><p style="text-align:center">1%</p></td> 
       <td class="custom-bottom-td acenter" width="17.73%"><p style="text-align:center">3.29</p></td> 
       <td class="custom-bottom-td acenter" width="17.73%"><p style="text-align:center">4.37</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="28.93%"><p style="text-align:center">Actual Sample Size</p></td> 
       <td class="custom-top-td acenter" width="15.58%"><p style="text-align:center">27</p></td> 
       <td class="custom-top-td acenter" width="55.48%" colspan="3"><p style="text-align:center">Finite Sample: n = 35</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="28.93%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="15.58%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="20.02%"><p style="text-align:center">10%</p></td> 
       <td class="acenter" width="17.73%"><p style="text-align:center">2.46</p></td> 
       <td class="acenter" width="17.73%"><p style="text-align:center">3.46</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="28.93%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="15.58%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="20.02%"><p style="text-align:center">5%</p></td> 
       <td class="acenter" width="17.73%"><p style="text-align:center">2.947</p></td> 
       <td class="acenter" width="17.73%"><p style="text-align:center">4.088</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="28.93%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="15.58%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="20.02%"><p style="text-align:center">1%</p></td> 
       <td class="acenter" width="17.73%"><p style="text-align:center">4.093</p></td> 
       <td class="acenter" width="17.73%"><p style="text-align:center">5.532</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="28.93%"><p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="15.58%"><p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="55.48%" colspan="3"><p style="text-align:center">Finite Sample: n = 30</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="28.93%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="15.58%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="20.02%"><p style="text-align:center">10%</p></td> 
       <td class="acenter" width="17.73%"><p style="text-align:center">2.525</p></td> 
       <td class="acenter" width="17.73%"><p style="text-align:center">3.56</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="28.93%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="15.58%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="20.02%"><p style="text-align:center">5%</p></td> 
       <td class="acenter" width="17.73%"><p style="text-align:center">3.058</p></td> 
       <td class="acenter" width="17.73%"><p style="text-align:center">4.223</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="28.93%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="15.58%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="20.02%"><p style="text-align:center">1%</p></td> 
       <td class="acenter" width="17.73%"><p style="text-align:center">4.28</p></td> 
       <td class="acenter" width="17.73%"><p style="text-align:center">5.84</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Given that all the necessary preconditions are met, the short- and long-term effects of GVC integration, with the other control variables on total factor productivity, are estimated using the ARDL model.</p>
    <p>
     <xref ref-type="table" rid="table7">
      Table 7
     </xref> reports the short-term dynamics resulting from the error-correction specifications of the ARDL models. This ECM specification is particularly well-suited to the articulation between short-term dynamics and long-term target. The estimated coefficients of the error-correction terms (ECM), represented here by CointEq (−1), are negative and significant at the 1% level, with an associated coefficient estimate of (−2.053898), showing the presence of a co-integration relationship between the variables and implying that around 205% of short-term deviations are corrected within one period.</p>
    <table-wrap id="table7">
     <label>
      <xref ref-type="table" rid="table7">
       Table 7
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.142568-"></xref>Table 7. Short-term relationships estimated by the ARDL approach (Source: Authors our estimates on Eviews 12).</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="100.00%" colspan="5"><p style="text-align:center">Case 2: Restricted Constant and No Trend</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="100.00%" colspan="5"><p style="text-align:center">Date: 03/19/25 Time: 14:58</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="100.00%" colspan="5"><p style="text-align:center">Sample: 1991 2021</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="100.00%" colspan="5"><p style="text-align:center">Included observations: 27</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="100.00%" colspan="5"><p style="text-align:center">ECM Regression</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="100.00%" colspan="5"><p style="text-align:center">Case 2: Restricted Constant and No Trend</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="48.11%"><p style="text-align:center">Variable</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="13.41%"><p style="text-align:center">Coefficient</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="13.36%"><p style="text-align:center">Std.Error</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="12.38%"><p style="text-align:center">Statistic</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="12.74%"><p style="text-align:center">Prob*</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="48.11%"><p style="text-align:center">D (LOG_PTF (−1))</p></td> 
       <td class="custom-top-td acenter" width="13.41%"><p style="text-align:center">1.073326</p></td> 
       <td class="custom-top-td acenter" width="13.36%"><p style="text-align:center">0.112303</p></td> 
       <td class="custom-top-td acenter" width="12.38%"><p style="text-align:center">9.557384</p></td> 
       <td class="custom-top-td acenter" width="12.74%"><p style="text-align:center">0.0024</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">D (LOG_PTF (−2))</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">0.560182</p></td> 
       <td class="acenter" width="13.36%"><p style="text-align:center">0.075209</p></td> 
       <td class="acenter" width="12.38%"><p style="text-align:center">7.448313</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">0.0050</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">D (LOG_PTF (−3))</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">−0.300213</p></td> 
       <td class="acenter" width="13.36%"><p style="text-align:center">0.071058</p></td> 
       <td class="acenter" width="12.38%"><p style="text-align:center">−4.224868</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">0.0242</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">D (LOG_DOWNSTREAMPARTICIPATION)</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">0.796305</p></td> 
       <td class="acenter" width="13.36%"><p style="text-align:center">0.059832</p></td> 
       <td class="acenter" width="12.38%"><p style="text-align:center">13.30892</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">0.0009</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">D (LOG_DOWNSTREAMPARTICIPATION) (−1)</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">−0.275026</p></td> 
       <td class="acenter" width="13.36%"><p style="text-align:center">0.037268</p></td> 
       <td class="acenter" width="12.38%"><p style="text-align:center">−7.379614</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">0.0051</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">D (LOG_DOWNSTREAMPARTICIPATION) (−2)</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">−0.184542</p></td> 
       <td class="acenter" width="13.36%"><p style="text-align:center">0.041863</p></td> 
       <td class="acenter" width="12.38%"><p style="text-align:center">−4.408235</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">0.0217</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">D (LOG_DOWNSTREAMPARTICIPATION) (−3)</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">0.184631</p></td> 
       <td class="acenter" width="13.36%"><p style="text-align:center">0.045580</p></td> 
       <td class="acenter" width="12.38%"><p style="text-align:center">4.050714</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">0.0271</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">D(LOG_UPSTREAM_PARTICIPATION)</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">−0.301750</p></td> 
       <td class="acenter" width="13.36%"><p style="text-align:center">0.034481</p></td> 
       <td class="acenter" width="12.38%"><p style="text-align:center">−8.751303</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">0.0031</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">D(LOG_UPSTREAM_PARTICIPATION) (−1)</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">0.450273</p></td> 
       <td class="acenter" width="13.36%"><p style="text-align:center">0.037298</p></td> 
       <td class="acenter" width="12.38%"><p style="text-align:center">12.07226</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">0.0012</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">D(LOG_UPSTREAMP_PARTICIPATION) (−2)</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">0.213984</p></td> 
       <td class="acenter" width="13.36%"><p style="text-align:center">0.030042</p></td> 
       <td class="acenter" width="12.38%"><p style="text-align:center">7.122869</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">0.0057</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">D(LOG_UPSTREAM_PARTICIPATION) (−3)</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">0.092047</p></td> 
       <td class="acenter" width="13.36%"><p style="text-align:center">0.032753</p></td> 
       <td class="acenter" width="12.38%"><p style="text-align:center">2.810388</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">0.0673</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">‘D (LOG_REER)</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">−1.265310</p></td> 
       <td class="acenter" width="13.36%"><p style="text-align:center">0.142935</p></td> 
       <td class="acenter" width="12.38%"><p style="text-align:center">−8.852309</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">0.0030</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">D (LOG_REER (−1))</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">1.637570</p></td> 
       <td class="acenter" width="13.36%"><p style="text-align:center">0.164294</p></td> 
       <td class="acenter" width="12.38%"><p style="text-align:center">9.967320</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">0.0021</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">D (LOG_REER (−2))</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">1.933190</p></td> 
       <td class="acenter" width="13.36%"><p style="text-align:center">0.162990</p></td> 
       <td class="acenter" width="12.38%"><p style="text-align:center">11.86078</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">0.0013</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">D (LOG_REER (3))</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">0.840147</p></td> 
       <td class="acenter" width="13.36%"><p style="text-align:center">0.142139</p></td> 
       <td class="acenter" width="12.38%"><p style="text-align:center">5.910744</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">0.0097</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">LOG_COMPENSATION_OF_EMPLOYEES.</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">0.745733</p></td> 
       <td class="acenter" width="13.36%"><p style="text-align:center">0.067474</p></td> 
       <td class="acenter" width="12.38%"><p style="text-align:center">11.05217</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">0.0016</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">LOG_COMPENSATION_OF_EMPLOYEES. (−1)</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">−0.062154</p></td> 
       <td class="acenter" width="13.36%"><p style="text-align:center">0.057394</p></td> 
       <td class="acenter" width="12.38%"><p style="text-align:center">−1.082924</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">0.3581</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">LOG_COMPENSATION_OF_EMPLOYEES. (−2)</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">−0.386085</p></td> 
       <td class="acenter" width="13.36%"><p style="text-align:center">0.053683</p></td> 
       <td class="acenter" width="12.38%"><p style="text-align:center">−7.191941</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">0.0055</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">Cointeq (−1)*</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">−2.053898</p></td> 
       <td class="acenter" width="13.36%"><p style="text-align:center">0.141613</p></td> 
       <td class="acenter" width="12.38%"><p style="text-align:center">−14.1613</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">0.0007</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">R-squared</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">0.989030</p></td> 
       <td class="acenter" width="25.74%" colspan="2"><p style="text-align:center">Mean dependent var</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">−0.003467</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">Adjusted R-squared</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">0.964347</p></td> 
       <td class="acenter" width="25.74%" colspan="2"><p style="text-align:center">SD. Dependent var</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">0.018793</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">SE.of regression</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">0.003548</p></td> 
       <td class="acenter" width="25.74%" colspan="2"><p style="text-align:center">Akaike info criterion</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">−8.253620</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">Sum squared resid</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">0.000101</p></td> 
       <td class="acenter" width="25.74%" colspan="2"><p style="text-align:center">Schwarz criterion</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">−7.341735</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">Log likelihood</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">130.4239</p></td> 
       <td class="acenter" width="25.74%" colspan="2"><p style="text-align:center">Hannan-Quinn criter</p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center">−7.982469</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="48.11%"><p style="text-align:center">Durbin-Watson stat</p></td> 
       <td class="acenter" width="13.41%"><p style="text-align:center">3.222608</p></td> 
       <td class="acenter" width="13.36%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="12.38%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="12.74%"><p style="text-align:center"></p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>*P-value incompatible with tBounds distribution.</p>
    <p>The results of the short-term relationships indicate that downstream participation has an impact on total factor productivity, the impact being positive and statistically significant at the 1% level. Specifically, a 1% increase in downstream participation leads to a 0.97% increase in Morocco’s total factor productivity.</p>
    <p>Upstream participation has a negative impact on total factor productivity, and the result is statistically significant at the 1% level. Specifically, a 1% increase in upstream participation leads to a 0.30% decrease in Morocco’s total factor productivity.</p>
    <p>With regard to the control variables, the real effective exchange rate has a negative impact on total factor productivity. The impact is statistically significant at the 1% level: a 1% increase in the real effective exchange rate leads to a 1.26% decrease in Morocco’s total factor productivity.</p>
    <p>Wages have a positive impact on total factor productivity. The impact is statistically significant at the 1% level, and a 1% increase in wages leads to a 0.75% increase in Morocco’s total factor productivity.</p>
    <p>The long-run elasticities of total factor productivity with respect to the various variables in the study (<xref ref-type="table" rid="table8">
      Table 8
     </xref>) are significant at 1% for upstream and downstream participation, and 5% for employee compensation and the real effective exchange rate.</p>
    <table-wrap id="table8">
     <label>
      <xref ref-type="table" rid="table8">
       Table 8
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.142568-"></xref>Table 8. Long-term relationships estimated by the ARDL approach. (Source: Authors nos estimates on Eviews 12).</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="100.00%" colspan="5"><p style="text-align:center">Levels Equation</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="100.00%" colspan="5"><p style="text-align:center">Case 2: Restricted Constant and No Trend</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="50.87%"><p style="text-align:center">Variable</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.03%"><p style="text-align:center">Coefficient</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="12.57%"><p style="text-align:center">Std. Error</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="12.97%"><p style="text-align:center">t-Statistic</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="9.55%"><p style="text-align:center">Prob.</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="50.87%"><p style="text-align:center">LOG_DOWNSTREAM_PARTICIPATION</p></td> 
       <td class="custom-top-td acenter" width="14.03%"><p style="text-align:center">0.513749</p></td> 
       <td class="custom-top-td acenter" width="12.57%"><p style="text-align:center">0.068425</p></td> 
       <td class="custom-top-td acenter" width="12.97%"><p style="text-align:center">7.508216</p></td> 
       <td class="custom-top-td acenter" width="9.55%"><p style="text-align:center">0.0049</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="50.87%"><p style="text-align:center">LOG_UPSTREAM_PARTICIPATION</p></td> 
       <td class="acenter" width="14.03%"><p style="text-align:center">−0.36677</p></td> 
       <td class="acenter" width="12.57%"><p style="text-align:center">0.053968</p></td> 
       <td class="acenter" width="12.97%"><p style="text-align:center">−6.79604</p></td> 
       <td class="acenter" width="9.55%"><p style="text-align:center">0.0065</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="50.87%"><p style="text-align:center">LOG_COMPENSATION OF ELPLOYEEES</p></td> 
       <td class="acenter" width="14.03%"><p style="text-align:center">0.353253</p></td> 
       <td class="acenter" width="12.57%"><p style="text-align:center">0.097876</p></td> 
       <td class="acenter" width="12.97%"><p style="text-align:center">3.609195</p></td> 
       <td class="acenter" width="9.55%"><p style="text-align:center">0.0365</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="50.87%"><p style="text-align:center">LOG_REER</p></td> 
       <td class="acenter" width="14.03%"><p style="text-align:center">−0.71129</p></td> 
       <td class="acenter" width="12.57%"><p style="text-align:center">0.165835</p></td> 
       <td class="acenter" width="12.97%"><p style="text-align:center">−4.28916</p></td> 
       <td class="acenter" width="9.55%"><p style="text-align:center">0.0233</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="50.87%"><p style="text-align:center">C</p></td> 
       <td class="acenter" width="14.03%"><p style="text-align:center">0.737707</p></td> 
       <td class="acenter" width="12.57%"><p style="text-align:center">0.440364</p></td> 
       <td class="acenter" width="12.97%"><p style="text-align:center">1.675261</p></td> 
       <td class="acenter" width="9.55%"><p style="text-align:center">0.1928</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="100.00%" colspan="5"><p style="text-align:center">EC = LOG_PTF − (0.513749*LOG_DOWNSTREAM_PARTICIPATION − 0.3668*LOG_UPSTREAM_PARTICIPATION + 0.3533*LOG_COMPENSATION − 0.7113*LOG_REER</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>These results show that there is a negative relationship between total factor productivity and upstream participation, and a positive relationship between total factor productivity and downstream participation. Indeed, a 1% increase in downstream participation leads to a 0.51% increase in TFP. A 1% increase in upstream participation leads to a 0.36% decrease in TFP.</p>
    <p>The control variables are statistically significant at 5%, employee compensation has a positive impact, a 1% increase in salary leads to a 0.35% increase in TFP, while the real effective exchange rate has a negative effect on TFP, a 1% increase in real effective exchange rate leads to a 0.71% decrease in TFP.</p>
    <p>This assessment is in line with research by <xref ref-type="bibr" rid="scirp.142568-67">
      Urata &amp; Baek (2020)
     </xref>, <xref ref-type="bibr" rid="scirp.142568-4">
      Ajide (2023)
     </xref>, <xref ref-type="bibr" rid="scirp.142568-45">
      Kowalski, Gonzalez, Ragoussis, &amp; Ugarte (2015)
     </xref>, <xref ref-type="bibr" rid="scirp.142568-48">
      Kummritz (2016)
     </xref>, and <xref ref-type="bibr" rid="scirp.142568-72">
      Yanikkaya &amp; Altun (2020)
     </xref> which found a positive relationship between downstream participation in developing countries and total factor productivity.</p>
    <p>Downstream participation in GVCs will allow Morocco to access a larger global market that local firms can explore to benefit from economies of scale, learn how to integrate modern technologies into the production system to become more efficient (<xref ref-type="bibr" rid="scirp.142568-22">
      Dutta, 2021
     </xref>; <xref ref-type="bibr" rid="scirp.142568-57">
      Olasehinde-Williams &amp; Oshodi, 2021
     </xref>), acquire know-how, adopt best practices in terms of organizational management and business methods, and improve skills by learning from customers (<xref ref-type="bibr" rid="scirp.142568-30">
      Foster-McGregor &amp; Verspagen, 2016
     </xref>; <xref ref-type="bibr" rid="scirp.142568-57">
      Olasehinde-Williams &amp; Oshodi, 2021
     </xref>) and through a learning-by-doing process (<xref ref-type="bibr" rid="scirp.142568-10">
      Benkovskis, Masso, Tkacevs, Vahter, &amp; Yashiro, 2020
     </xref>). As a result, boosting the share of local value added in Morocco’s gross exports would increase total factor productivity. That’s why Morocco needs to increase its participation in GVCs and, above all, increase the share of local value added contained in exports, which is a source of wealth creation for the country (<xref ref-type="bibr" rid="scirp.142568-11">
      Benomar, El Bouanani, &amp; Ezziani, 2022
     </xref>).</p>
    <p>The results of our empirical study on the impact of wages on TFP are in line with the research findings of <xref ref-type="bibr" rid="scirp.142568-36">
      Görg, Strobl, &amp; Walsh (2007)
     </xref>, <xref ref-type="bibr" rid="scirp.142568-68">
      Urban (2010)
     </xref>, <xref ref-type="bibr" rid="scirp.142568-5">
      Akerlof (1982)
     </xref>, <xref ref-type="bibr" rid="scirp.142568-42">
      Katz (1986)
     </xref>, <xref ref-type="bibr" rid="scirp.142568-33">
      Ghose &amp; Biswas (2000)
     </xref>, <xref ref-type="bibr" rid="scirp.142568-47">
      Kumar, Webber, &amp; Perry (2012)
     </xref> and <xref ref-type="bibr" rid="scirp.142568-43">
      Klein (2012)
     </xref>. These authors have revealed a long-term relationship between total factor productivity and wages.</p>
    <p>As far as the impact of the real effective exchange rate on TFP is concerned, our results are consistent with the competitiveness hypothesis which suggests that exchange rate depreciations stimulate productivity growth and with studies conducted by <xref ref-type="bibr" rid="scirp.142568-62">
      Richard (2001)
     </xref>, <xref ref-type="bibr" rid="scirp.142568-18">
      Darryl &amp; Elitza (2011)
     </xref>, <xref ref-type="bibr" rid="scirp.142568-2">
      Aghion, Bacchetta, Ranciere, &amp; Rogoff (2006)
     </xref>, <xref ref-type="bibr" rid="scirp.142568-9">
      Benhima (2012)
     </xref> and <xref ref-type="bibr" rid="scirp.142568-20">
      Diallo (2012)
     </xref> which found a negative impact between the real effective exchange rate and TFP.</p>
    <p>Although this study empirically demonstrates the differentiated impact of Morocco’s participation in global value chains (GVCs) on total factor productivity (TFP), it is essential to deepen the analysis of the mechanisms underlying these results in order to better understand their structural dynamics.</p>
    <p>On the one hand, upstream participation (the import of foreign inputs intended for national production) has a negative effect on TFP. This result can be explained by several factors:</p>
    <p>On the other hand, downstream participation (the integration of Moroccan inputs into other countries’ exports) contributes positively to TFP. This beneficial effect is driven by several mechanisms:</p>
    <p>These results confirm the importance for Morocco of adopting industrial policies focused on enhancing local content in exports, while gradually reducing dependence on foreign inputs. The development of national productive capacities and qualitative integration into global value chains thus appear to be essential levers for sustainably supporting productivity growth.</p>
   </sec>
  </sec><sec id="s5">
   <title>5. Conclusion and Perspectives</title>
   <p>This paper empirically studies the short- and long-term impact of Morocco’s integration into global value chains on total factor productivity over the period 1991-2021. Two different measures of participation in global value chains were used-foreign value added in exports (upstream participation), and indirect value added (downstream participation).</p>
   <p>We developed an econometric model using both the empirical review and the data available for the Moroccan case. The nature of the data used, the unit root tests and the cointegration “bounds test” have led us to use the ARDL model to estimate the selected specifications. Indeed, the ARDL model is appropriate for a small sample size (<xref ref-type="bibr" rid="scirp.142568-54">
     Narayan, 2005
    </xref>) and offers the possibility of dealing with both long-term and short-term relationships between variables, which is the case for our data.</p>
   <p>The empirical results showed the existence of a long-term relationship between TFP and participation in global value chains, as well as with the other control variables for the period sampled in Morocco. Indeed, upstream participation in GVCs has a negative impact on TFP in the short and long term, while downstream participation has a positive effect on TFP in the short and long term.</p>
   <p>The econometric study also shows that the real effective exchange rate has a negative impact on TFP in the short and long term, while wages have a positive impact on TFP in the short and long term.</p>
   <p>The relevance of these results may reflect the fact that Moroccan exports are placed at the beginning of global value chains in the form of downstream integration, so a significant proportion of exports serve as inputs for exports of other countries. This probably reflects the predominance of primary commodities in Moroccan exports. As Morocco’s participation in global value chains is beneficial to the economy, policymakers should take appropriate measures and adopt trade policies that promote participation in global value chains.</p>
   <p>Nevertheless, this work has limitations both in terms of the length of data available in the Eora-GVC database, which is limited to 31 observations (years), and in terms of the variables used. Although they are the most widely used in previous research, other factors may also be examined in future research.</p>
   <p>This research also opens the way for further investigations. It is recommended that the analysis be repeated at the sectoral level, since aggregation at the national level may hide other complexities. Finally, while the paper discusses the economic effects of GVCs participation, it is also important to examine the environmental and social effects.</p>
  </sec><sec id="s6">
   <title>Appendix</title>
   <fig id="fig6" position="float">
    <label>Figure 6</label>
    <caption>
     <title>Figure A1. Jarque-Bera test for normality of residuals Source: Auteurs (our graphs on Eviews 12).</title>
    </caption>
    <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1534462-rId57.jpeg?20250514112036" />
   </fig>
   <table-wrap id="table9">
    <label>
     <xref ref-type="table" rid="table9">
      Table 9
     </xref></label>
    <caption>
     <title>
      <xref ref-type="bibr" rid="scirp.142568-"></xref>Table A1. Breusch-Pagan-Godfrey test for heteroskedasticity (Source: Authors (our estimates on Eviews 12).</title>
    </caption>
    <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
     <tr> 
      <td class="acenter" width="100.00%" colspan="4"><p style="text-align:center">Heteroskedasticity Test: Breusch-Pagan-Godfrey</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="100.00%" colspan="4"><p style="text-align:center">Null Hypothesis: Homoskedasticity</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="35.38%"><p style="text-align:center">F-statistic</p></td> 
      <td class="acenter" width="19.96%"><p style="text-align:center">0.602799</p></td> 
      <td class="acenter" width="33.47%"><p style="text-align:center">Prob. F (23, 3)</p></td> 
      <td class="acenter" width="11.19%"><p style="text-align:center">0.7964</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="35.38%"><p style="text-align:center">Obs*R-squared</p></td> 
      <td class="acenter" width="19.96%"><p style="text-align:center">22.19698</p></td> 
      <td class="acenter" width="33.47%"><p style="text-align:center">Prob. Chi-Square (23)</p></td> 
      <td class="acenter" width="11.19%"><p style="text-align:center">0.5084</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="35.38%"><p style="text-align:center">Scaled explained SS</p></td> 
      <td class="acenter" width="19.96%"><p style="text-align:center">0.161327</p></td> 
      <td class="acenter" width="33.47%"><p style="text-align:center">Prob. Chi-Square (23)</p></td> 
      <td class="acenter" width="11.19%"><p style="text-align:center">1.0000</p></td> 
     </tr> 
    </table>
   </table-wrap>
   <table-wrap id="table10">
    <label>
     <xref ref-type="table" rid="table10">
      Table 10
     </xref></label>
    <caption>
     <title>
      <xref ref-type="bibr" rid="scirp.142568-"></xref>Table A2. Lagrange multiplier (LM) test for autocorrelation of residuals (Source: Authors (our estimates on Eviews 12).</title>
    </caption>
    <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
     <tr> 
      <td class="acenter" width="100.00%" colspan="4"><p style="text-align:center">Breusch-Godfrey Serial Correlation LM Test</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="100.00%" colspan="4"><p style="text-align:center">Null Hypothesis: No serial correlation at up to 2 lags</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="34.94%"><p style="text-align:center">F-statistic</p></td> 
      <td class="acenter" width="20.40%"><p style="text-align:center">6.844814</p></td> 
      <td class="acenter" width="32.55%"><p style="text-align:center">Prob. F (2, 1)</p></td> 
      <td class="acenter" width="12.10%"><p style="text-align:center">0.2609</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="34.94%"><p style="text-align:center">Obs*R-squared</p></td> 
      <td class="acenter" width="20.40%"><p style="text-align:center">25.16197</p></td> 
      <td class="acenter" width="32.55%"><p style="text-align:center">Prob. Chi-Square (2)</p></td> 
      <td class="acenter" width="12.10%"><p style="text-align:center">0.0000</p></td> 
     </tr> 
    </table>
   </table-wrap>
  </sec><sec id="s7">
   <title>NOTES</title>
   <p><sup>1</sup>The formal definition is: XDA*(1 − PPX) + iPM*(1 − ppM). Where XDVA is domestic value added in gross exports, ppX is the share of primary products in total exports, ipM is gross imports of intermediate products and ppM is the share of primary products in total imports.</p>
  </sec>
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