Next Article in Journal
Identifying Environmental Constraints on Pinus brutia Regeneration Using Remote Sensing: Toward a Screening Framework for Sustainable Forest Management
Previous Article in Journal
Challenges in Young Siberian Forest Height Estimation from Winter TerraSAR-X/TanDEM-X PolInSAR Observations
 
 
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Determinants of the Global Timber Trade Network Evolution a Stochastic Actor-Oriented Model Analysis

1
Zhejiang Province Key Think Tank, Institute of Ecological Civilization, Zhejiang Agriculture & Forestry University, Hangzhou 311300, China
2
National Forestry and Grassland Administration, Beijing 100010, China
3
School of Economics & Management, Beijing Forestry University, Beijing 100083, China
*
Author to whom correspondence should be addressed.
Forests 2025, 16(12), 1817; https://doi.org/10.3390/f16121817 (registering DOI)
Submission received: 3 November 2025 / Revised: 29 November 2025 / Accepted: 2 December 2025 / Published: 5 December 2025
(This article belongs to the Section Forest Economics, Policy, and Social Science)

Abstract

Against the backdrop of accelerating restructuring in the global economy and trade landscape, understanding the evolutionary mechanisms of timber trade networks has become increasingly crucial. Utilizing cross-national timber trade data from 2000 to 2024, this study applies a Stochastic Actor-Oriented Model to analyze the dynamic evolution of the timber trade network by incorporating multidimensional factors, including trade costs, resource costs, network structure, and trade structure. The findings reveal that: (1) Endogenous network mechanisms—particularly the triadic closure effect—play a dominant role in the formation of trade relationships; (2) resource-rich countries exhibit an export expansion with import restriction phenomenon, actively expanding exports while restricting imports to safeguard resource sovereignty; (3) timber price alone insufficiently reshapes trade ties, whereas sustainable forest management significantly drives network dynamics; and (4) net exporters favor developed economies via market screening. Economic development asymmetrically moderates trade—boosting exports in net exporters while curbing imports in net importers. This study moves beyond traditional economic perspectives, uncovering the profound effects of structural embeddedness and strategic behavior in timber trade, and the findings extend the theoretical framework for resource-based product commerce and provide empirical foundations for formulating equitable and sustainable forestry trade policies.

1. Introduction

Timber represents an extension of forest resource utilization. Compared to materials such as steel, concrete, and plastics, timber is classified as a renewable resource. Raw wood-based products, including logs and sawn timber, are highly favored in the market, with demand exhibiting a consistent upward trajectory in recent years. However, timber supply is heavily contingent upon a country’s forest resource endowment, and given the uneven global distribution of forest resources [1], international trade has emerged as a critical mechanism for balancing national timber supply and demand [2]. According to UN Comtrade statistics, between 2000 and 2024, both the scale and the number of participating entities in global timber trade demonstrated a dynamic growth trend. By 2021, the total value of global timber trade reached nearly US$80 billion, doubling from its 1997 level. Post-2021, the Coronavirus Disease 2019 (COVID-19) pandemic induced a temporary contraction in trade volume, yet 179 countries/regions remained engaged in timber trade as of 2024.
The global timber trade network (GTTN) serves as a critical nexus linking disparities in resource endowments with fluctuations in market demand, and its dynamic evolution profoundly influences the sustainable utilization of global forest resources and the stability of international trade. In recent years, this network has undergone significant structural adjustments and flow dynamics. On one hand, the rapid ascendance of emerging economies has driven sustained growth in timber demand, altering traditional trade flows and supply-demand dynamics [3]. On the other hand, frequent adjustments in international trade policies, heightened resource conservation awareness, and volatility in transportation costs continue to reshape the global timber trade landscape [4]. For instance, resource-rich countries such as Russia and the European Union have implemented stricter timber export restrictions to protect domestic forests, directly impacting global supply volumes and trade flows. Macroeconomic shocks (e.g., the 2008 financial crisis) and global health emergencies (e.g., COVID-19) also propagate through trade and financial systems to influence network evolution. Meanwhile, escalating transportation costs impose greater pressure on long-distance timber trade, compelling traders to seek cost-effective logistics solutions and alternative partners. Concurrently, rising environmental standards and consumer awareness have constrained markets for illegally harvested timber, while sustainably managed forests, despite higher prices, remain in short supply. These multifaceted factors collectively drive the dynamic transformation of the GTTN.
Countries are almost exclusively seen as the primary unit of analysis in the study of international trade, and analysis of trade in wood and non-wood forest products is no exception to that rule [5]. The research on the dynamic evolution of timber trade networks and their driving factors exhibits the following characteristics. In terms of research scope, existing literature predominantly focuses on analyzing topological structural features of timber trade networks, employing network structure indicators and their evolutionary patterns to examine statistical characteristics [4,5,6]. Some researchers have also explored the formation mechanisms of timber trade patterns from perspectives such as trade policies, environmental regulations, and resource endowments [3,4]. However, systematic elucidation of the pathways through which cost factors influence timber trade networks remains lacking.
It is noteworthy that developing a dual-dimensional framework integrating trade and resource costs holds theoretical value: trade costs shape immediate connectivity preferences within networks [7], whereas resource costs govern long-term evolutionary resilience. These dimensions reflect the dual drivers of economic efficiency and ecological sustainability underlying timber trade network dynamics, necessitating concurrent examination. Existing research, however, predominantly concentrates on static cost structures (e.g., transportation costs, tariff barriers) and their impacts on bilateral trade flows, while overlooking resource costs (e.g., timber prices, forest sustainability management levels). Moreover, they neglect the transmission effects, temporal accumulation effects, and interactive dynamics of different cost elements within complex networks. This research gap results in an incomplete understanding of the underlying logic behind “why” and “how” GTTN evolve.
From a methodological standpoint, existing research on timber trade networks predominantly remains confined to static analytical frameworks [8]. However, the attributes of individual nodes and inter-nodal trade relationships within timber networks exhibit dynamic temporal evolution, encompassing processes of emergence, persistence, and dissolution. Given that network data constitutes prototypical relational data characterized by significant auto-correlation, it fails to satisfy the independence assumption required by conventional linear regression models. Consequently, traditional econometric approaches prove inadequate for analyzing the evolutionary mechanisms of relational panel data [4,9].
The Stochastic Actor-Oriented Model (SAOM) offers an innovative methodological solution to this analytical challenge. In contrast to traditional gravity models or Quadratic Assignment Procedure (QAP) analyses, SAOM’s distinct advantage lies in its capacity to dynamically trace the “path-dependent” characteristics of network evolution under cost-driven conditions, revealing how cost shocks propagate through strategic interactions among actors to induce systemic topological transformations in network structures [9,10]. For instance, when climate disasters trigger abrupt production cost escalations in major timber-exporting countries, SAOM enables simulation of how importers calibrate cost–benefit analyses to strategically balance between maintaining existing trade partnerships and developing alternative supply sources. This process subsequently drives observable alterations in network density and central node dynamics.
Based on the aforementioned context, this study employs trade data from the UN Comtrade Database and World Bank indicators to investigate the dynamic evolution mechanisms of the GTTN within a comprehensive trade–resource cost analytical framework. In addition to trade costs (distance, culture, institutions, and policy barriers) and resource costs (product price and sustainable forest management capacity), we incorporate endogenous network structural features and trade characteristics into a multidimensional analysis. Using longitudinal data from 2000 to 2024 and applying a SAOM, this research elucidates the complex drivers underlying the evolution of the GTTN.
The study yields several central findings: First, although various trade costs significantly influence the evolution of the GTTN, conventional timber price factors alone are no longer sufficient to reconfigure trade relationships. Second, structural mechanisms—particularly the Geometrically Weighted Edgewise Shared Partners (GWESP) effect, indicative of instantaneous triadic closure—play a critical role in the formation of timber trade ties. Third, a behavioral pattern termed the export expansion with import restriction phenomenon is identified among forest-rich countries, which actively expand exports while restricting imports to safeguard resource sovereignty—a phenomenon that challenges traditional comparative advantage theory. Fourth, economic development exerts an asymmetric moderating effect, reinforcing export activity in net-exporting economies while suppressing import growth in net-importing ones.
These findings provide new insights into the evolutionary mechanisms of global timber trade networks. The main contributions of this study include (1) proposing an integrated analytical framework that incorporates cost dimensions, network structure, and trade architecture; (2) employing SAOM to validate the dominant role of endogenous network mechanisms; and (3) revealing the critical influence of non-economic factors on the evolution of timber trade networks. This research offers a theoretical foundation and policy-relevant insights for promoting sustainable and equitable global timber trade governance.
The remaining sections are arranged as follows. Section 2 reviews the impact of different cost factors on the dynamic evolution of timber trade networks and their driving mechanisms and proposes research hypotheses. Section 3 describes the research methodology, variable selection, and data sources. Section 4 presents the dynamic evolution process of the GTTN from 2000 to 2024 through a network structural perspective and the empirical results. Section 5 presents the key findings and contributions of this study. Section 6 summarizes the study’s main conclusions and details the policy implications.

2. Literature Review and Research Hypotheses

Cost refers to the expenditure incurred for utilizing resource inputs. As societies develop and technologies advance, the types and scope of factors influencing resource utilization costs have gradually expanded, thereby driving the continuous extension of cost boundaries. In the realm of international trade, from a broad perspective, trade costs encompass not only the marginal cost of producing goods but also all other expenses necessarily incurred to acquire commodities. These include, but are not limited to, transportation costs (freight and time costs), policy barriers (tariff and non-tariff barriers), information costs, contract enforcement costs, exchange rate costs, legal and regulatory costs, and local distribution costs [11,12]. The diversification of cost components has, to some extent, increased the complexity of cost measurement and model construction. Nevertheless, these challenges do not diminish the critical importance of trade costs [13], nor can they overlook the impact of costs on international timber trade [7].
According to existing literature, trade costs in international commerce entail multiple dimensions. Drawing on Anderson and van Wincoop [14] (2004) and Beghin and Schweizer [12] (2020), this study categorizes cost factors in timber trade into trade costs and resource costs. Trade costs are defined as all expenses borne by buyers beyond the marginal cost of producing goods during the process of transporting timber from exporters to importers. These include distance costs (freight and time costs), policy barriers (tariff and non-tariff barriers), information costs, contract enforcement costs, exchange rate costs, and legal/regulatory costs. Resource costs, conversely, refer to resource prices and factors directly influencing resource prices. Based on the practical context of timber markets, this paper selects timber prices and forest sustainable management capacity as proxy variables for resource costs. Trade costs, as defined herein, further encompass distance costs, cultural costs, policy barrier costs, and institutional costs across countries.
According to the traditional gravity model, the trade volume between two parties is inversely proportional to the geographical distance between them [13]; that is, the greater the distance between two countries, the smaller their trade volume [15]. The impact of geographical distance on international trade primarily stems from cost factors: on one hand, greater geographical distance implies higher transportation costs. On the other hand, long-distance transportation introduces additional risks for oceanic shipping [12], while consumers bear extra opportunity costs from waiting, both of which hinder effective trade development. Consequently, some scholars argue that geographical distance negatively affects the establishment of trade relations [4,7,16]. However, other researchers posit that advancements in science and technology, particularly improvements in infrastructure and transportation-related innovations, have gradually attenuated the influence of distance on economic behavior, suggesting that international trade may eventually escape the “tyranny of distance” [4]. Nevertheless, for bulky and difficult-to-transport raw materials like timber, transportation costs remain a non-negligible factor in cross-country timber trade at the current stage [1]. Based on the above analysis, the following hypothesis is proposed:
Hypothesis 1a (H1a).
Distance costs influence the dynamic evolution of timber trade networks, such that countries with greater geographical distances are more inclined to avoid establishing timber trade ties.
As global economic integration deepens and digitization advances, culture plays an increasingly critical role in international trade [17]. The extended gravity model posits that cultural distance typically exerts a significant inhibitory effect on trade flows by increasing communication costs and information asymmetry between trading partners, though the extent of this effect exhibits significant heterogeneity depending on the characteristics of trading partners, product categories, and specific cultural dimensions [18]. Scholars have extensively examined the impact of cultural differences on trade, yielding mixed findings. For instance, Kristjánsdóttir [19] (2019) found that cultural distance hinders trade between the UK and its major partners, though this effect is weaker than the impact of geographical distance on exports. Some researchers argue that cultural differences foster trade expansion, while others suggest a nonlinear relationship: trade volume declines with rising cultural distance, but only when differences surpass a critical threshold [20]. Notably, consensus exists regarding the effect of cultural differences on trade relationship formation—most studies confirm their adverse impact. For example, Tian and Jiang [21] (2012) revealed that cultural distance has dual effects on China’s trade, with varying impacts on imports and exports. Zhou et al. [4], using paper trade as a case, demonstrated that cultural distance negatively affects bilateral trade relationships, with significant cultural disparities substantially impeding the establishment of timber trade ties between nations.
Based on prior research, this study proposes the following hypothesis:
Hypothesis 1b (H1b).
Cultural costs significantly shape the dynamic evolution of timber trade networks, with culturally similar countries more likely to establish trade relationships.
Institutions have long been acknowledged as a pivotal determinant of comparative advantage in international trade [22]. From the perspective of New Institutional Economics (NIE), institutional quality constitutes a fundamental driver of economic development, where reductions in institutional transaction costs are critical for fostering synergistic interactions between trade liberalization and domestic economic performance [23].
Empirical studies have extensively documented institutional impacts on cross-border economic activities. The majority of scholarship has focused on institutional determinants of outward foreign direct investment and cross-border mergers and acquisitions, while a parallel strand of research emphasizes institutional effects on international trade patterns [13,24]. For instance, democratic governance in developing economies has been shown to enhance bilateral trade volumes by improving export product quality standards [11]. Similarly, institutional quality metrics, particularly government administrative efficiency, have been found to directly influence export performance by modulating transaction costs [25].
Hypothesis 1c (H1c).
Institutional costs exert a significant influence on the dynamic evolution of GTTN. Specifically, countries with superior institutional frameworks demonstrate a stronger propensity to initiate and sustain timber export trade relationships.
Policy barriers denote measures adopted by a nation to safeguard its domestic enterprises or restrain foreign ones. Such measures are detrimental to free trade and simultaneously constitute policy costs that warrant significant attention in the realm of international trade. In contrast, a Free Trade Agreement (FTA) represents a legally binding pact voluntarily established by two or more countries [26]. Its core purpose is to foster economic integration among member states, and according to the extended gravity model, FTAs promote trade through multiple channels, including reducing tariff and non-tariff barriers, enhancing trade facilitation, mitigating policy uncertainty, and strengthening institutional alignment, such as regulatory convergence [27]. In the context of timber trade, FTAs leverage tariff policies to influence costs, directly regulate import demand, and thereby alter procurement strategies and reshape the global timber trade landscape [4]. Furthermore, regarding non-tariff measures such as environmental regulations aimed at sustainable development—often termed “green barriers”—FTAs reshape the global timber trade network by impacting exporters’ compliance costs and market choices [28]. Consequently, the implementation of an FTA is widely acknowledged as a pivotal factor influencing trade costs [26,28].
At present, scholarly research on FTA predominantly centers on the analysis of their trade impacts [28,29]. From diverse research angles, the consensus is that trade agreements substantially promote trade between nations [4,27]. Specifically, in the context of timber trade, the signing of trade agreements serves to mitigate trade policy barriers among member countries [30]. This, in turn, facilitates the forging of timber trade relationships among them and exerts a notable influence on the dynamic evolution of the timber trade network. So, the following hypothesis is formulated:
Hypothesis 1d (H1d).
Policy barriers exert a significant influence on the dynamic evolution of the timber trade network. Moreover, countries with lower policy barriers are more prone to establishing timber trade connections.
In addition to the previously mentioned trade costs, this study also underscores the impact of changes in resource costs on the dynamic evolution of the GTTN. Resource cost factors are mainly analyzed from two angles: timber prices and forest sustainable management capabilities. Timber prices are directly related to the cost of timber procurement. Variations in a country’s timber prices directly affect the import volumes of its trading partners. When price fluctuations exceed a country’s affordability threshold, it will look for alternative trading partners, thus driving the evolution of the entire timber trade network.
Forest certification acts as a market mechanism designed to promote sustainable forest management, improve product market access, and combat illegal logging [4,31]. As a “soft” policy instrument, the widespread adoption of forest certification has had a certain impact on timber trade. On one hand, forest certification is a market-driven initiative that incurs specific costs. On the other hand, forest certification, functioning as a green trade barrier, can enhance the market competitiveness of timber products [31]. Certified forests enjoy three market advantages: potential market access, an enhanced public image, and product premium pricing [4,31]. Therefore, forest certification is also expected to influence the structure and evolution of the GTTN by affecting the legitimacy of timber supply. So, the following hypotheses are proposed:
Hypothesis 2a (H2a).
Timber prices can significantly affect the dynamic evolution of the GTTN.
Hypothesis 2b (H2b).
Forest certification can significantly affect the dynamic evolution of the GTTN, with countries having higher levels of forest certification tending to proactively avoid establishing timber import trade relationships.

3. Methodology and Data

3.1. Methodology

The SAOM constitutes a state-of-the-art analytical framework for network panel data analysis, particularly adept at addressing multidisciplinary and structural auto-correlation among variables. These models facilitate the simultaneous examination of (1) endogenous network structural effects and (2) nodal attribute effects on network dynamic evolution, while permitting the inclusion of multiple variables in the objective function to explicitly model actor preferences and constraints [9,10]. In SAOM, network participants are conceptualized as actors, with inter-actor connections representing relational ties. The models operate under the theoretical assumption that network evolution emerges from actors’ strategic decisions to form or sever ties based on utility maximization, where utilities are derived from structural and attribute-based considerations [9,32].
The operation of SAOM primarily rests on three core assumptions. (1) Markovian Evolution: Network evolution follows a “present-state-determines-future” logic, where the network configuration at each stage depends solely on its immediate predecessor, independent of earlier historical states; (2) Temporal Continuity: Observed network changes result from the cumulative effect of countless micro-level adjustments over time, akin to the continuous passage of time; (3) Actor-Centric Decision-Making: Each actor in the network autonomously decides to form or dissolve ties with others based on their perception of the global relational landscape, subject to specific constraints and individual preferences [9,10]. Consequently, SAOM conceptualizes network evolution as a stochastic process driven by actor agency, framing it as a sequence of node-level decisions to initiate, sustain, or terminate connections with other nodes. Each node regulates its outbound ties (outdegree) to manage relational dynamics, with these processes mathematically represented through rate equations.
In empirical applications, the model employs Markov Chain Monte Carlo Maximum Likelihood Estimation to estimate parameters quantifying the impacts of endogenous network structures and exogenous nodal attributes on evolutionary dynamics. Statistical significance is assessed via statistics [9,32].
Regarding model diagnostics, it should be noted that since the estimation of the Stochastic Actor-Oriented Model (SAOM) is based on the method of moments rather than maximum likelihood estimation, its parameter estimation process does not rely on the coefficient variance-covariance matrix of traditional linear regression. Consequently, the Variance Inflation Factor (VIF) an indicator widely used for diagnosing multicollinearity in linear models is not directly applicable within the SAOM framework. To evaluate and ensure the robustness of the model specification, this study adopts a systematic diagnostic strategy commonly recognized in SAOM research [9,33,34]. During model estimation, we monitored model convergence (ensuring all absolute t-ratios were well below 0.1) and examined the standard errors of parameter estimates to identify potential instability caused by collinearity. Additionally, by constructing and comparing nested models (with variables introduced sequentially), we verified the robustness of the significance and direction of key variables.
SAOM propose that variations in the probability of relationship formation between network nodes are driven by endogenous (network-structured) and exogenous (node-attribute-driven) factors. Endogenous effects emerge from the network’s structural properties, which govern edge dynamics, while exogenous effects stem from changes in nodal attributes. Consequently, SAOM analyze network evolution through two primary mechanisms: (1) Endogenous network structure effects: The influence of inherent network features on relational dynamics. (2) Nodal attribute effects: The impact of node-level characteristics on tie formation and dissolution. Drawing on established SAOM literature, this study examines four structural dimensions: Outdegree effect: The propensity for nodes to form additional outgoing ties based on their current outdegree. Reciprocity: The likelihood of bidirectional tie formation (i.e., if node i initiates a tie to j, j may subsequently reciprocate). Transitive Triplets/3-Cycles: The tendency for closed triangular structures to emerge (if i → j and j → k, then i → k may form). GWESP Effect (Geometrically Weighted Edgewise Shared Partners): A statistic measuring the prevalence of shared connections between nodes, weighted by the number of common partners.
For nodal attribute effects, the SAOM directed relationships (where i → j designates i as the ego (initiator) and j as the alter (recipient)). These effects quantify how node attributes influence network evolution and include three sub types: Self-Effect: The impact of a node’s own attributes on its likelihood of forming ties. Alter-Effect: How the attributes of a potential recipient (alter) affect tie formation. Similarity Effect: The tendency for nodes with matching attributes to connect.
Building upon the SAOM framework and drawing on established research [9], this study constructs the following models to examine the mechanisms through which different cost factors drive the dynamic evolution of the GTTN. First, Baseline Model 1 is established to verify the impact of endogenous network structures on the dynamic evolution of the GTTN. The specific model formulation is presented as follows:
d y n D 1 = f o u t , r e c , 3 c y l , t r a n s
The dependent variable is the change in the timber trade network across three periods (2010, 2015, 2020). and according to the established research [4], the independent variables include four endogenous network structural factors: out-degree effect, triadic closure, reciprocity, and triadic transitivity.
Further, control variables for per capita Gross Domestic Product (GDP) and per capita forest stock volume are incorporated to analyze their impacts on network evolution [4]. The corresponding Stochastic Actor-Oriented Model (SAOM) is formulated as follows.
d y n D 2 = f o u t , r e c , 3 c y l , t r a n s , G D P P , F S P
Subsequently, in accordance with the research hypotheses, we sequentially introduced trade cost factors, including geographic distance, cultural similarity, trade facilitation, and institutional quality to examine their effects on the dynamic evolution of the GTTN.
d y n D 3 = f o u t , r e c , 3 c y l , t r a n s , G D P P , F S P , D I S , L A N , L A W , F T A
To further examine the impact of resource costs on the dynamic evolution of the GTTN, we incorporated both timber price and forest certification level into the model. The SAOM specification is adjusted accordingly.
d y n D 4 = f o u t , r e c , 3 c y l , t r a n s , G D P P , F S P , D I S , L A N , L A W , F T A , C E R , P R I C E
After clarifying cost effects, this study investigates whether a country’s timber trade structure influences its network behavior and drives evolution. A trade imbalance index is constructed and integrated into the model.
To explore the moderating role of trade imbalance self-effects on economic development changes and forest sustainable management capacity changes in network evolution, interaction terms between trade imbalance self-effects and these two variables are created and incorporated into separate models.
d y n D 5 = f o u t , r e c , 3 c y l , t r a n s , G D P P , F S P , D I S , L A N , L A W , F T A , C E R , P R I C E , T I I , T I I   e g o   x   G D P P   a l t e r
d y n D 6 = f o u t , r e c , 3 c y l , t r a n s , G D P P , F S P , D I S , L A N , L A W , F T A , C E R , P R I C E , T I I , T I I   e g o   x   G D P P   a l t e r , T I I   e g o   x   C E R   a l t e r

3.2. Variables Selection

SAOM require that the dependent variable belong network data spanning three or more periods, with consistent node composition across waves, and given data availability, this study uses changes in the GTTN across 2010, 2015, and 2020 as the dependent variable. For endogenous network structure effects, the analysis decomposes endogenous network dynamics into four mechanisms: outdegree, reciprocity, transitive triplets cycles, and GWESP effect.
The selection of proxy variables for trade costs in this study is based on existing research. Regarding distance cost, prior studies predominantly use inter-capital distance as a proxy [4]. This study adopts bilateral geographic distance between countries as the metric. For cultural cost, this study selects whether the two countries share a common official language as the proxy variable. Specifically, a value of 1 indicates that the two countries adopt the same official language, while a value of 0 means they use different official languages. In terms of trade policy cost, this research uses the status of trade agreement signing as the proxy variable. Here, a greater number of overlapping trade agreements between the two countries implies lower trade policy costs that need to be overcome in timber trade. As for institutional cost, following existing studies, we select the Worldwide Governance Indicators published by the World Bank to measure a country’s institutional environment [1,4]. The Worldwide Governance Indicators (WGI) comprises six secondary indicators: Voice and Accountability, Political Stability and Absence of Violence, Government Effectiveness, Regulatory Quality, Rule of Law, and Control of Corruption. In this study, we calculate a weighted average of the scores of these six indicators in the WGI to obtain the institutional environment score.
This study examines resource costs through an analytical framework that incorporates two key elements: timber price and forest sustainable management capacity. For the price, the United Nations Commodity Trade Statistics Database provides essential data on trade volumes and values of timber exchanged between countries. However, it falls short of directly offering price information. Drawing inspiration from existing research, this study ingeniously derives price data by calculating the ratio of trade value to trade volume for timber transactions between countries on an annual basis. This approach not only circumvents the limitation of the database but also offers a more nuanced understanding of timber price fluctuations across different countries and time periods. Regarding the assessment of forest sustainable management capacity, previous studies have predominantly relied on the forest-certified area as a key indicator [31]. While this metric provides valuable insights, it is inherently tied to a country’s total forest area, thereby posing challenges in terms of cross-country comparability, especially when dealing with nations that exhibit substantial disparities in forest coverage [4]. To address this issue, this study proposes a more refined and comparable proxy variable: the forest certification rate. Defined as the ratio of a country’s forest-certified area to its total forest area, the forest certification rate offers a standardized measure that enables meaningful comparisons across countries with varying forest sizes. By focusing on the proportion of certified forests rather than the absolute area, this indicator better captures the essence of sustainable forest management practices and their dissemination within a country’s forest resources.
To comprehensively examine how trade structure characteristics influence the dynamic evolution of timber trade networks, particularly in terms of net trade types and their corresponding scales, this study adopts and adapts the methodology proposed by Prell (2017) [32]. Specifically, we construct a Timber Trade Imbalance Index (TII), which serves as a quantitative measure to delineate both the direction (import-oriented vs. export-oriented) and magnitude (scale) of net timber trade flows for each country involved. The detailed formulation process of this index is elaborated in the subsequent mathematical expression.
T I I i = log V i e x p V i i m p + n                           i f V i e x p V i i m p > 0 log V i i m p V i e x p + n                     i f     V i e x p V i i m p < 0
In this context, V i e x p denotes the timber export value of country i, while V i i m p represents its timber import value. The parameter n serves as an adjustment factor for the trade imbalance index, determined by the positive integer closest to the logarithm of the maximum net import value of raw timber; in this study, n is set to 11.
Regarding control variables, drawing on insights from existing research [4], this study selects per capita GDP as a proxy variable for the level of economic development and per capita forest stock volume (FSP) as a proxy for the level of resource endowment.

3.3. Data

All the data in this study are drawn from publicly accessible databases. Specifically, the annual timber trade data including logs (HS code: 4403) and sawn wood (HS codes: 4406 and 4407) from 2000 to 2024 is sourced from the United Nations Commodity Trade Statistics Database (https://wits.worldbank.org/) (accessed on 14 July 2025). The per capita forest stock volume figures are obtained from the 2020 Global Forest Resources Assessment released by the Food and Agriculture Organization of the United Nations (http://www.fao.org/) (accessed on 4 July 2025). Information on forest certification and chain-of-custody certification is gathered from the official website of the Forest Stewardship Council (FSC) (https://search.fsc.org/zh/) (accessed on 4 July 2025). Data pertaining to the institutional environment and per capita GDP are retrieved from the World Bank database (http://www.worldbank.org/) (accessed on 10 July 2025). Meanwhile, data on geographic distance, language, and trade agreements are all sourced from the CEPII database (http://www.cepii.fr/) (accessed on 10 July 2025). The trade imbalance index and timber trade prices are computed based on the actual trade conditions observed in each year. Specifically, drawing upon established methodologies in the trade literature [4], we initially processed bilateral trade observations with complete records of both timber trade value and volume for each annual period within the UN Comtrade database. The corresponding unit price for each trade flow was calculated as the ratio of reported trade value to trade volume. For trade relationships with missing volume data, price values were imputed using mean price values derived from complete observations within corresponding product categories and years.
Given the availability of data and the specific requirements of the SAOM, this study has processed the data for each variable accordingly. For the dependent variable NET, data from three distinct time points 2010, 2015, and 2020 were selected. Since the SAOM necessitates consistent nodes across different periods, this study ultimately opted to construct the GTTN using data from 161 countries. Significantly, the timber trade volume among these 161 countries represented over 95% of the total global timber trade volume for the corresponding years, underscoring their strong representative [4].
To ensure the data scale aligns with the model’s requirements, logarithmic transformations were applied to the data on per capita forest stock volume, the number of chain-of-custody certifications, inter-country distances, and per capita GDP. Table 1 provides a comprehensive overview of the descriptive statistical characteristics for each variable, encompassing the maximum value, minimum value, and mean. And NET represents the dependent variable; FSP (Unit: m3) denotes per capita forest stock volume; DIS (Unit: km) stands for distance cost; FTA (Unit: item) indicates trade policy cost; LAW signifies institutional cost; CER (Unit: ha) and CoC (Unit: item)represent forest sustainable management capacity; PRICE (Unit: US dollar) refers to timber price. The same applies hereinafter.
As can be seen from Table 1, the maximum values, minimum values, and means of each variable align with their actual ranges. Moreover, the changing trends of these variables over the years are consistent with the actual situations. Therefore, it is feasible to proceed with subsequent empirical analysis.

4. Results

4.1. Analysis of the Global Network Structure Characteristics and Evolution Trends

This section constructs the GTTN using social network analysis methods. With reference to existing studies, timber products are categorized into two types: logs (HS code: 4403) and sawn wood (HS codes: 4406 and 4407). The bilateral trade volume between countries/regions for each year is calculated by aggregating the trade values of these two product categories.
To minimize the impact of minor trade relationships on the overall results, we adopt the methodology from prior research [1]. Specifically, we rank all bilateral timber trade values in descending order for each year and retain the top transactions until the cumulative sum reaches 99% of the total trade volume, while excluding the remaining 1%. This approach ensures both representativeness and clarity in visualization [35].
Following network construction, we employ NetDraw 2.166 network visualization software to generate trade network diagrams for 2000, 2010 and 2024 (as shown in Figure 1, Figure 2 and Figure 3). In these visualizations, edge thickness is proportional to trade volume between nodes, node size corresponds to in-degree centrality, label size reflects out-degree centrality, and node shape indicates net trade status: circles denote net importers, and squares represent net exporters.
As evidenced by the network diagrams of Figure 1, Figure 2 and Figure 3, the global timber trade network underwent significant structural transformations between 2000 and 2024. Key observations include the following: The figures reveal significant structural changes in the global timber trade network from 2000 to 2024. In terms of network scale, there are 182 nodes and 1419 ties in the GTTN of 2000, and in 2010, 194 countries participated in global timber trade, forming 1794 trade relationships, while by 2024, the number of trading entities decreased to 179, with trade relationships reducing to 1502; however, the average trade volume per relationship increased, indicating growth in overall timber trade scale. Regarding major trading nations, the United States, Russia, Canada, Germany and Sweden remained key exporters. The U.S. consistently ranked first in out-degree centrality, demonstrating the most extensive export partnerships. Germany’s centrality and ranking improved, while Russia’s export markets contracted following its 2010 log export ban policy.
For import markets, after 2010, China, Italy, France and the U.S. emerged as major importers. Most countries showed clear upward trends in import market numbers. China maintained the most import partners, increasing from 60 in 2000 to 92 in 2015, though this declined to 83 by 2024 due to COVID-19 impacts. The core-periphery analysis shows, the core countries included the U.S., Germany, Sweden, France and Finland in 2010, while by 2024, the core expanded to seven nations: Germany, Finland, Poland, the U.S., Sweden, Latvia and Estonia. These positional changes reflect dynamic interactions between resource endowments, economic conditions and policy factors.
As is evident from the preceding analysis, the GTTN is characterized by a distinctive structural pattern: while the overall network exhibits sparse connections, local clusters within it are marked by dense relationships. This unique structural trait can be effectively dissected and understood through the application of the core-periphery model. The core-periphery model serves as a valuable analytical tool, enabling the differentiation of nodes within a network based on their calculated coreness values, which reflect their relative importance. Traditional implementations of this model, however, have often been criticized for their oversimplification, as they typically classify nodes into just two broad categories: core and periphery. Such a binary classification fails to capture the nuanced gradations that exist within real-world networks.
To address this limitation and provide a more refined analysis, this study adopts the core-semi-periphery-periphery continuous partitioning model proposed by Borgatti and Everett [36] (1999). By leveraging the CORR algorithm, we systematically analyze the global wood trade networks on an annual basis, shedding light on the evolving dynamics and structural shifts over time. In accordance with the classification criteria established by Zhou et al. [1], countries are categorized into three distinct groups based on their coreness values. Specifically, countries with a coreness value of 0.2 or above are designated as core members; those with a coreness value ranging from 0.1 (inclusive) to below 0.2 are classified as semi-periphery members; and countries with a coreness value of less than 0.1 are identified as periphery members. The distribution of countries across these three categories, along with the identification of core countries for each year’s network, is presented in detail in Table 2 below.
According to Table 2, from 2000 to 2024, the GTTN exhibits a distinct core-semi-periphery-periphery structural characteristic. Among the networks in each year, the number of core countries is the smallest, followed by semi-periphery countries, with the vast majority of countries falling into the periphery category.
Although the size and membership of the core country group have undergone dynamic adjustments over the years, the main members have largely remained the United States, Germany, Sweden, Poland, Austria, and other countries. Specifically, the United States and Germany have consistently been part of the core country group, with their coreness consistently ranking in the top two positions. Except for 2008, Sweden has also consistently remained within the core country group. In terms of the evolution trend of coreness for each country, the United States has shown an overall spiral and slightly declining trend in its network coreness, dropping from 0.335 in 1997 to 0.218 in 2024. Germany, on the other hand, has witnessed an increase in its coreness and ranking, rising gradually from 0.269 in 2000 to 0.297 in 2021, followed by a slight decline afterward. Nevertheless, its coreness still reached 0.272 in 2024, ranking first globally. As for China, its coreness evolution has generally followed an upward-then-downward trajectory. Apart from the exceptional case in 2022, China’s coreness has remained relatively stable within the range of 0.1 to 0.2. Similarly, the coreness of other countries has also undergone dynamic adjustments, reflecting changes in their positions within the global wood trade network.

4.2. The Impact of Network Structural Characteristics on the Dynamic Evolution of GTTN

According to the previous research framework, this study employs the SAOM for empirical analysis. First, we incorporate structural indicators including out-degree effect, reciprocity, triadic closure, transitive triads, and GWESP effect to examine how endogenous network characteristics influence the dynamic evolution of the timber trade network. The results are presented in Table 3 below.
The overall model achieved steady-state convergence after 2386 iterations, with a maximum convergence ratio of 0.1736—below the predefined threshold of 0.25 [32]—indicating robust model performance. Additionally, Model 1 reveals significant structural transformations in the GTTN between 2010 and 2020. The evolutionary rates for Phase 1 (2010–2015) and Phase 2 (2015–2020) were 9.4742 and 8.3274, respectively, both statistically significant at the 1% level. This suggests a slight deceleration in network dynamics during 2015–2020 compared to 2010–2015.
The regression coefficient for outdegree is −3.4552 (p < 0.01), indicating that over time, countries in the network tend to avoid forming excessive timber export relationships. This aligns with the earlier finding that net timber-exporting countries are significantly fewer than importing ones. The reciprocity coefficient is 0.6934 (p < 0.01), demonstrating that trade actors increasingly favor reciprocal trade relationships, reflecting a growing prevalence of intra-industry trade among nations. The transitive ties coefficient is 0.3872 (p < 0.01), highlighting transitivity as a critical driver of network evolution, where actors embedded in transitive trade relationships are more likely to form additional timber trade links. The coefficient of 3-cycles is 0.0363 (p < 0.05), indicating that closed triadic structures modestly but significantly contribute to network cohesion. Given that the GTTN analyzed in this study is directed, GWESP manifests in two forms: forward closure and backward closure. In Model 1, the coefficients for these two GWESP effects are 1.3637 (p < 0.01) and −0.284 (p < 0.05), respectively, indicating a strong transitive closure tendency within the network, predominantly driven by forward closure.
Building upon Model 1, this study introduces two control variables per capita GDP and per capita forest stock volume to examine their effects on the evolutionary dynamics of the GTTN, while simultaneously investigating how endogenous network structural properties influence these dynamics. The estimation of Model 2 achieved steady-state convergence after 2386 iterations, with an overall maximum convergence ratio of 0.1736 (below the 0.25 threshold), indicating robust model stability. Temporal analysis reveals that the network exhibited significant structural transformations in both Phase 1 (rate = 9.876) and Phase 2 (rate = 8.7088), with both rates statistically significant at the 1% level. Notably, the rate of change declined from Phase 1 to Phase 2, suggesting decelerating network evolution. The effects of endogenous network structural variables on dynamic evolution remain broadly consistent with Model 1 findings, indicating that the influence of these structural properties on network evolution is relatively stable across model specifications.
The coefficients for per capita GDP’s alter-effect, self-effect, and similarity-effect are −0.3944, −0.1147, and 0.6591, respectively, all statistically significant at the 1% level. These findings indicate that, over time, countries with higher per capita GDP tend to avoid initiating or receiving timber trade relationships. Meanwhile, countries with similar economic development levels are more likely to establish timber trade connections. The coefficients for per capita forest stock volume’s alter-effect, self-effect, and similarity-effect are −0.3593, 0.5584, and 3.092, respectively, all significant at the 1% level. These results suggest that, over time, countries with larger per capita forest stock volumes tend to actively initiate timber trade relationships while avoiding receiving them—implying a stronger export orientation and reduced import propensity. Additionally, countries with abundant forest resources are more likely to trade timber with nations sharing similar resource endowments, potentially driven by differences in wood species that facilitate intra-industry timber trade.

4.3. The Impact of Costs on the Dynamic Evolution of the GTTN

Building on Model 2, this paper further incorporates four trade cost factors: distance cost, cultural cost, policy barrier cost, and institutional cost—to analyze their impacts on the dynamic evolution of the GTTN. The specific results are shown in Table 4 below.
From the results of Model 3 in Table 4, it can be seen that the model underwent 3421 iterations, with a maximum convergence ratio of 0.1934, which is less than the threshold of 0.25, indicating that the overall convergence of the model is good. Among the network structural effect variables, the out-degree effect, reciprocity, transitive triads, and GWESP effect all significantly influence the dynamic evolution of the timber trade network to varying degrees, and the research conclusions are basically consistent with the previous models. For the economic development level and forest resource endowment, the impacts of these two variables on the dynamic evolution of the network are also basically consistent with the previous results.
For the trade costs, the regression coefficient of distance cost is −0.0438, which is significant at the 1% level, indicating that geographical distance has a significant impact on the dynamic evolution of the GTTN. Specifically, countries with greater geographical distance are less likely to establish timber trade ties, and Hypothesis 1a is supported. The coefficient of cultural cost is 0.4551, which passes the significance test at the 1% level, suggesting that countries with higher cultural similarity are more inclined to establish timber trade ties, and Hypothesis 1b is supported. Trade agreements break down trade policy barriers among countries and reduce trade costs. The regression coefficient of policy barrier cost is 0.0135, which is significant at the 1% level, indicating that the trade agreement network significantly drives the dynamic evolution of the GTTN. Countries sharing more trade agreements are more likely to form timber trade ties, and Hypothesis 1c is supported. The regression coefficients of the alter effect and self-effect of institutional cost are 0.0003 and −0.0024, respectively, both of which are significant at the 5% level, indicating that institutions significantly promote the dynamic evolution of the timber trade network. Over time, countries with better institutional environments tend to receive timber trade relations while avoiding actively initiating them, and Hypothesis 1d is partially supported.
Building on Model 3, this study further incorporates two resource cost factors timber price and sustainable forest management level to analyze their impacts on the dynamic evolution of the GTTN. The results from Model 4 (Table 4) are presented below.
Model 4 converged after 3751 iterations, with a maximum convergence ratio of 0.1662 (below the 0.25 threshold), indicating satisfactory model stability. Structural network effects, including out-degree (−3.9665, *** p < 0.01), reciprocity (0.5556, *** p < 0.01), transitive triads (0.3521, * p < 0.05), and GWESP (1.3876, *** p < 0.01), demonstrate significant and consistent impacts on network dynamics, aligning with findings from previous models. Furthermore, per capita GDP and per capita forest stock exhibit significant positive effects on the dynamic evolution of the GTTN, with their influence mechanisms aligning with prior model results. Additionally, all four trade cost factors demonstrate statistically significant impacts on network dynamics, reinforcing the robustness of our earlier conclusions regarding their roles in shaping trade patterns.
For the resource cost factors, the regression coefficient for the alter effect of forest certification level is −1.2376, which is statistically significant at the 1% level, supporting Hypothesis 2b. This suggests that, over time, countries with higher forest certification levels are less likely to proactively establish timber import trade relationships with other nations. In other words, higher forest certification levels correlate with a lower probability of forming new timber import trade ties.
For the price, Model 4 results indicate that the price factor has a regression coefficient of 0.0539, which is not statistically significant. Although price influences the dynamic evolution of the timber trade network, its effect is marginal, failing to support Hypothesis 2a.

4.4. The Impact of Trade Structure on the Dynamic Evolution of GTTN

To further investigate the mechanisms by which trade structure characteristics influence the dynamic evolution of timber trade networks, this study—building upon established research [4,32] introduces interaction terms between the ego effect of the Trade Imbalance Index (TII) and the alter effects of both economic development level and sustainable forest management capacity. These interaction terms are systematically incorporated into our model to examine the moderating effect of trade imbalance on the relationships between economic development, forest sustainability, and network evolution. The detailed empirical results are presented in Table 5.
The estimation results from Model 5 indicate that the model achieved convergence after 4425 iterations, with an overall maximum convergence ratio of 0.2436—below the 0.25 threshold, demonstrating satisfactory model convergence. The regression results for rate functions, covariates, and cost factors remain consistent with previous model specifications.
Notably, the alter effect and ego effect of the TII show coefficients of −0.0406 and 0.0288, respectively, both statistically significant at the 1% level. These results suggest that countries with higher TII (indicating larger net export volumes) exhibit two behavioral tendencies over time: (1) reduced propensity to actively establish new timber import relationships with trade partners, and (2) increased likelihood of proactively forming timber export ties with other nations. Furthermore, the alter effect coefficient for per capita GDP is −0.5224, significant at the 1% level. This finding confirms that economically advanced countries demonstrate a systematic tendency to avoid initiating new timber import ties with other nations.
The interaction term between the TII ego effect and GDP alter shows a coefficient of 0.0218, statistically significant at the 1% level. This indicates that TII exerts a significant positive moderating effect on the relationship between economic development level and the dynamic evolution of the timber trade network. Specifically, greater net timber export volume amplifies the inclination of economically advanced nations to establish timber trade relationships with others. That is, countries with larger net timber exports demonstrate stronger initiative in forming timber export ties with developed economies, suggesting net timber exporters exhibit a preference for targeting relatively developed economies as export destinations.
In the behavioral evolution equation, both rate functions of TII are positive and statistically significant at the 1% level, confirming significant temporal variations in countries’ trade imbalance indices. Notably, the change rate in the first period is smaller than in the second period, validating our previous analysis of the evolutionary characteristics of trade imbalance indices.
Building upon Model 5, we further introduce an interaction term between the TII ego and the forest certification alter to examine its moderating role in the relationship between sustainable forest management capacity and timber trade network dynamics. As shown in Model 6 (Table 5), the estimation achieves convergence after 4493 iterations with a maximum convergence ratio of 0.1861 (below the 0.25 threshold), demonstrating robust model convergence. The network structure variables maintain consistent effects on GTTN dynamics as in previous models. Regarding cost factors, all but timber price show statistically significant effects on network evolution at varying magnitudes and directions, further supporting our research hypotheses. The alter effect of forest certification level yields a coefficient of −1.3643 (significant at 1%), indicating that countries with stronger sustainable forest management capacity systematically avoid initiating new timber import ties with trade partners. However, the coefficient for the interaction term between TII ego and CER alter was −0.0014 and statistically non-significant, indicating that the ego effect of the trade imbalance index does not exert a significant moderating role in the relationship between forest certification level and the dynamic evolution of the timber trade network.

4.5. Robustness Tests

To further validate the robustness of our findings, we conducted sensitivity analyses from two perspectives. First, we performed variable substitution by replacing the forest certification rate with the number of Chain-of-Custody (CoC) certifications. FSC certification comprises both Forest Management certification and Chain-of-Custody certification. Forest Management certification evaluates forest management units through third-party audits against FSC standards system to verify sustainable or responsible management practices. CoC certification tracks wood products through the entire supply chain from raw material transportation and processing to distribution enabling consumers to trace product origins via certification labels and verify whether materials originate from sustainably managed forests. Thus, CoC certification numbers similarly reflect a country’s sustainable forest management capacity. Following established practice in the literature [4,37], where scholars have used CoC certification as a proxy for forest management certification in robustness checks, we adopted this alternative measure. The results are presented in Model 7 (Table 6).
Additionally, we conducted robustness tests by substituting the dependent variable. We replaced the 2020 GTTN with 2019 data, with estimation results shown in Model 8 (Table 6).
The results from Models 7 and 8 demonstrate strong consistency with our previous findings, indicating robust model performance and highly stable conclusions.

5. Discussion

This study employs a novel methodology and framework to enhance the understanding of how different cost factors drive the dynamic evolution of the global timber trade network, while incorporating both network structural features and trade structural characteristics into the model. The cost factors considered include trade costs (distance, culture, institutions, and policy barriers) and resource costs (product price and sustainable forest management capacity).
The findings indicate that trade costs and resource costs shape trade patterns in distinct ways. Geographical distance and cultural differences significantly inhibit the formation of timber trade ties, while geographic proximity and cultural similarity strengthen trade linkages. This conclusion further corroborates the research of Wu et al. [16] and methodologically overcomes the limitations of previous static analyses. Policy barriers and institutional factors also play crucial roles: trade agreements effectively mitigate policy-induced obstacles, and countries with more shared agreements develop stronger trade connections—a finding consistent with Zhang and Li [29] regarding the economic welfare effects of free trade agreements. However, this study also reveals that although sound institutions generally facilitate trade, economically advanced economies with well-developed institutions exhibit reluctance to engage in timber exports. This can be attributed to the positive correlation between institutional quality and economic development: higher development levels are often accompanied by greater environmental awareness and stricter forest conservation policies [8]. With few exceptions, most highly developed countries restrict timber exports to prevent excessive resource outflow.
The experiment provides a new insight into the relationship between timber price and the trade relationships. Timber price is no longer the core factor influencing the establishment of trade ties. This conclusion challenges the traditional economic perspective that emphasizes price mechanisms as the primary driver of international trade [38]. This non-significant result may stem from the complex interplay of factors at multiple levels: First, the inherent long growth cycle of forest resources creates relative inelasticity of supply and demand, cushioning the immediate impact of price fluctuations on trade decisions. Furthermore, as a global commodity, timber prices lack significant cross-country variation due to market integration [39], thereby limiting their ability to explain specific partner selection.
Second, the central role of price is superseded by more influential structural variables and market-driven mechanisms—after controlling for economic development level, resource endowment, and trade costs, mechanisms such as forest certification, through stringent traceability and sustainability requirements, shift buyers’ focus toward long-term relationship stability and legal safeguards. This shift is reflected in their willingness to pay a premium for certified timber [4,31,37], the internalization of these non-price attributes partially diminishes the sensitivity of trade decisions to mere price changes.
Finally, at the macro-structural level, powerful endogenous network effects indicate that trade decisions are significantly influenced by social construction and path dependence, where the shaping force of the existing network structure on the formation of new ties often surpasses purely economic rationality [40]. Therefore, the non-significance of timber price carries substantial theoretical value, convincingly demonstrating that a comprehensive understanding of the evolutionary logic of global timber trade necessitates the integration of multidimensional costs and network dynamics into the analytical framework.
In contrast, sustainable forest management capacity exerted a substantial influence on trade dynamics. Countries with advanced certification systems actively avoided establishing new import relationships [37]. This phenomenon suggests that strong domestic sustainable management capabilities enhance timber self-sufficiency [31], reducing dependence on foreign imports. Under the assumption of product homogeneity—not accounting for specialization within intra-industry trade—nations with higher sustainable management capacities exhibit lower import demand [1], further reinforcing structural stability in timber trade networks.
Notably, the evolution of the timber trade network is driven not only by economic factors but more significantly by endogenous structural mechanisms within the network itself. Specifically, the instantaneous triadic closure mechanism—i.e., the tendency to form ties with “friends of friends”—plays a dominant role, indicating that trade partnerships are formed both rapidly and strategically. Moreover, structural inertia, manifested as reciprocity and transitivity, exhibits explanatory power comparable to that of economic variables, further underscoring the deeply embedded nature of trade relations within network structures. This conclusion can be explained by the findings of Liu et al. [41]: a positive correlation exists between the scale of the initial trade network and the establishment of new trade linkages. This implies that countries or regions with larger initial trade networks find it easier to expand their trade connections, resulting in a “Matthew effect” where connectivity begets further connectivity.
Empirical results show that the GWESP effect significantly outperforms simple triadic closure, confirming that countries (or regions) in the Global Timber Trade Network (GTTN) exhibit a strong propensity to establish trade ties with their partners’ partners. This finding aligns with earlier studies on network dynamics: Kinne and Bunte [42] (2020) observed similar mechanisms in inter-state defense cooperation networks, and Balland et al. [43] identified parallel patterns in the evolution of global video game industry clusters. Both studies affirm that triadic closure exerts a positive and statistically significant influence on network formation. This tendency facilitates the emergence of group norms, strengthens mutual trust, and curbs opportunistic behavior [44]. The GWESP effect accurately captures this phenomenon—the propensity of indirect ties to rapidly consolidate into direct partnerships [9], highlighting the strategic and efficiency-oriented nature of link formation within the GTTN.
Both economic development levels and forest resource endowments drive the dynamic evolution of the timber trade network. The findings indicate that countries with higher economic development exhibit greater reluctance to establish new timber import relationships, whereas countries with similar economic development levels are more likely to form trade ties. At the same time, forest-rich countries demonstrate a seemingly contradictory pattern of “proactive exporting yet cautious importing.” On the one hand, their active export strategy aligns with the factor endowment theory, which emphasizes leveraging inherent resource advantages. On the other hand, their cautious approach to importing transcends the static assumptions of this theory, reflecting deeper strategic motives to protect resource sovereignty and avoid over-reliance on imports.
This finding not only partially validates the comparative advantage theory but also provides an important supplement by showing that countries strategically intervene to mitigate risks associated with import dependency while capitalizing on their natural endowments. Furthermore, the study confirms that stronger trade connections also exist between countries with similar resource endowments, primarily driven by intra-industry trade [1] rather than traditional inter-industry complementarity. The deepening of trade relations stems not only from comparative advantages but more importantly from intra-industry specialization (e.g., different countries specializing in specific tree species or wood products), thus offering a new theoretical framework for understanding patterns of global resource trade.
This study uncovers the critical role of trade structure in shaping network dynamics, revealing strategic export market selection by net exporters and an asymmetric moderating effect of economic development on trade evolution. Specifically, net timber exporters actively expanded into new export markets while deliberately avoiding import relationships, a pattern that reflects their strategic utilization of comparative advantages in forest resources. Moreover, the TII significantly moderated the influence of economic development on network evolution. In particular, net exporters exhibited a clear preference for targeting developed economies as their export destinations, underscoring the role of market-level strategic behavior in the global timber trade network. However, it is plausible that the moderating role of the trade imbalance index on the “forest certification level–trade network dynamics” relationship remains limited at the macro level, or that its influence operates in a more nuanced and indirect manner. Future research should employ more granular data and more robust analytical methods to further elucidate this relationship.

6. Conclusions

This study examines the driving mechanisms of cost factors behind the dynamic evolution of the GTTN through a comprehensive trade–resource cost analysis framework. To this end, a trade cost framework was developed incorporating dimensions such as distance, culture, institutions, and policy barriers, along with a resource cost framework based on product price and sustainable forest management capacity. Using longitudinal trade data from 2000 to 2024 and applying SAOM, the research assesses the influence of multiple cost factors on timber trade relationships while also accounting for the roles of network structure and trade structural features in shaping the GTTN. This approach offers a novel contribution by extending beyond conventional emphasis on product price to establish an integrated cost framework that incorporates endogenous network effects and trade structural attributes, thereby providing a more holistic understanding of timber trade dynamics—a perspective still underexplored in the current literature.
The findings indicate that although various trade costs significantly affect the evolution of the GTTN, conventional timber price factors alone are no longer sufficient to substantially reconfigure trade ties. Structural mechanisms—particularly the GWESP effect, indicative of instantaneous triadic closure—play a crucial role in the formation and evolution of timber trade relationships. Moreover, the study identifies an export expansion with import restriction phenomenon among forest-rich nations, which actively expand exports while restricting imports to safeguard resource sovereignty—a behavioral dichotomy that challenges traditional comparative advantage theory. Economic development also exhibits an asymmetric moderating effect: it strengthens export activity in net-exporting economies while curbing import growth in net-importing ones. These insights refine our understanding of strategic behavior and structural constraints in global resource trade.

6.1. Theoretical Contributions

This study introduces novel analytical approaches and offers a fresh conceptual lens for unraveling the complexities of global resource trade networks. Its theoretical contributions lie primarily in the systematic enhancement of the analytical framework for understanding the evolution of international resource trade networks across four pivotal dimensions.
  • Theoretical elucidation of dynamic network evolution mechanisms in timber trade. Through the incorporation of the GWESP effect, we have substantiated the instantaneous closure mechanism embodied in the principle of “a friend of a friend is a partner” within the context of timber trade network evolution. This research uniquely uncovers the preponderant influence of instantaneous triple closure, as opposed to delayed closure, in the realm of resource trade. By transcending the traditional trade theories’ overemphasis on economic determinants, we have integrated network structural parameters, including reciprocity and transitivity, as pivotal explanatory variables in the evolutionary trajectory of resource trade networks. Our results convincingly demonstrate that structural inertia exerts an independent explanatory capacity comparable to that of economic variables in shaping the dynamic evolution of these networks.
  • Revisiting comparative advantage theory in the context of resource trade. This study offers a refined perspective on the traditional comparative advantage theory by elucidating the nonlinear ramifications of forest resource endowments on trade patterns. Resource-rich nations exhibit a trade behavior characterized by “proactive exporting and cautious importing,” a phenomenon that not only aligns with the tenets of the factor endowment theory (exporting goods with inherent advantages) but also defies its static assumptions by strategically limiting imports to safeguard resource sovereignty. Moreover, we provide empirical evidence for the prevalence of intra-industry trade within the resource trade sector, demonstrating that the intensification of trade among countries with analogous forest resource endowments stems from intra-industry specialization (e.g., specialization in distinct tree species) rather than mere comparative advantages, thereby broadening the theoretical horizons of resource trade.
  • Institutional perspectives on non-economic costs in timber trade. We introduce the “institutional cost paradox,” which posits that developed countries, despite enjoying low institutional costs (marked by efficient governance frameworks), adopt a passive stance in timber exports due to an awakened environmental consciousness. This revelation challenges the conventional wisdom that institutional quality invariably fosters trade and unveils the counterintuitive and constraining impact of environmental regulations on resource trade dynamics.
  • Network-mediated effects on trade structure in resource markets. Our investigation reveals a “market screening” mechanism operative among net exporting countries, wherein they strategically target developed countries as preferred export destinations, thereby lending credence to the “export upgrading” hypothesis in resource trade. Furthermore, we identify an asymmetric moderating effect of economic development on trade structure: the economic prowess of high trade intensity index countries (net exporters) amplifies their export activities, whereas the economic clout of low trade intensity index countries (net importers) paradoxically dampens their import expansion.

6.2. Policy Implications

Importantly, this study provides actionable guidance for policymakers and trade practitioners as follows.
Optimize the GTTN structure. Break down trade blocs: Promote inter-regional cooperation through multilateral dialog mechanisms (e.g., FAO) to integrate emerging markets into the GTTN and reduce network centralization. Innovatively introduce “alliance access clauses” in bilateral or multilateral trade agreements, allowing existing trade partners to preferentially introduce third-party collaborators based on the triadic closure principle, and enhance the stability of triadic trade mechanisms through the establishment of international timber trade cooperation pilot zones and the implementation of policy coordination such as tariff reciprocity and mutual recognition of inspection standards. Develop a dynamic trade partner assessment system: Publish a Global Timber Trade Partner Risk Rating Guide, evaluating political stability, resource sustainability, and tariff policies to prioritize long-term agreements with high-rated countries.
Reduce Multidimensional Trade Costs. Deepen regional trade agreements: Advocate for zero tariffs on timber trade under the Regional Comprehensive Economic Partnership (RCEP) to enhance member states’ export competitiveness. Facilitate specialized negotiations with the European Union (EU) and the Association of Southeast Asian Nations (ASEAN): Streamline customs procedures (e.g., phytosanitary certificates, origin documentation) to reduce administrative burdens. Promote cross-cultural exchange: Establish Timber Trade Cultural Centers in key trading nations to provide language training and business etiquette programs, minimizing communication barriers. Harmonize technical standards: Align Chinese standards system with ISO/EU benchmarks to eliminate redundant testing and certification costs.
Enhance sustainable forest management capacity. Introduce a “Bridge Builder” incentive program within forest certification systems to cultivate key intermediary organizations that connect different certification schemes, while incorporating a “Trade Network Impact Assessment” into national forest governance systems as a prerequisite for policy formulation; Deploy AI-driven monitoring technologies utilizing drones and satellite remote sensing to track forest health, with quarterly National Forest Management Quality Reports to be published; Reform certification incentives by linking FSC/PEFC standards system with carbon tax policies and providing export tax rebates for certified timber products; Establish a global certification database through partnership with the World Bank to develop a real-time Forest Certification Transparency Platform, thereby systematically addressing information asymmetry and promoting market expansion through coordinated structural reforms and technological empowerment.
Innovate institutional frameworks. Annual audits maintain trade partner compliance and mitigate risks, while blockchain-based trade data enables supply chain finance and carbon trading services. These multidimensional dependencies strengthen network resilience. Building on this foundation, a “Negative List + Credit Supervision” model should be implemented: a clear list of prohibited timber trade practices should be established to combat illegal logging and false declarations, while a blockchain-based traceability system should be introduced, assigning unique digital identifiers to imported timber to comprehensively record full-chain data from harvesting to processing. Non-compliant enterprises will be blacklisted, and real-time data exchange between government traceability platforms, customs, and corporate systems will be achieved, ultimately constructing a closed-loop regulatory framework covering preemptive prevention, in-process monitoring, and post-event accountability across the entire chain.

6.3. Research Limitations and Future Directions

While this study offers valuable theoretical and empirical insights, it is subject to several limitations that point toward productive future research directions. First, although the SAOM effectively captures dynamic network dependencies, its reliance on country-level aggregate data may not fully capture sub-national heterogeneity or firm-level decision-making processes. Second, while the model incorporates multiple structural and economic determinants, it does not explicitly include ecological variables—such as the effects of climate change on forest resources—that could significantly influence long-term trade patterns. Finally, the exclusive focus on timber trade may limit the generalizability of the findings to other resource sectors. Comparative analyses involving other natural resources (e.g., mineral products, fisheries) would help verify and extend the applicability of the proposed network-institution-economy tripartite framework.
To address these gaps, we propose the following specific research pathways: First, to overcome the constraints of country-level aggregate data in SAOM, future studies should incorporate firm-level trade datasets to reveal micro-level decision-making mechanisms and sub-national heterogeneity in timber trade flows. Second, to account for ecological dimensions missing in the current framework, researchers could integrate dynamic environmental models assessing climate change impacts on forest resources, thereby enhancing the model’s predictive validity for long-term trade patterns. Finally, to verify the generalizability of the network-institution-economy tripartite framework, comparative analyses should be extended to other natural resource sectors—particularly fisheries and mineral trade—to test the framework’s applicability across different resource contexts. These concrete research directions will not only address the current limitations but also substantially advance our understanding of resource trade networks from micro to macro levels.
In summary, this research offers theoretical and empirical contributions to the fields of international trade and network analysis. It introduces an integrated analytical framework, delivers robust empirical validation through advanced SAOM modeling, and supplies policy-relevant insights to support the design of effective and sustainable governance mechanisms for global timber trade.

Author Contributions

Y.Z. (Yingying Zhou): Writing—review and editing, Writing—original draft, Software, Methodology. Y.Z. (Yage Zhang): Data curation, Conceptualization. W.Z.: Writing—review and editing, Methodology. B.C.: Writing–review and editing, Resources, Project administration, Funding acquisition. G.Q.: Supervision, Writing—review and editing. F.W.: Investigation, Data curation. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by the Scientific Research Development Fund of Zhejiang A&F University (Grant No. 2023FR040), the National Natural Science Foundation of China (NSFC) (Grant No. 72473009), and the National Forestry and Grassland Administration Project (Grant No. 2024FGS002).

Data Availability Statement

The original contributions presented in this study are included in the article. Further inquiries can be directed to the corresponding authors.

Acknowledgments

We gratefully acknowledge the editor and reviewers for their suggestions, and we assume sole responsibility for the content of this article.

Conflicts of Interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

References

  1. Zhou, Y.Y.; Hong, Y.P.; Cheng, B.D.; Xiong, L.C. The Spatial Correlation and Driving Mechanism of Wood-Based Products Trade Network in RCEP Countries. Sustainability 2021, 13, 10063. [Google Scholar] [CrossRef]
  2. Gao, Z.X.; Yu, C.; Xia, E.M.; Zhu, X.Y.; Hong, Y.X.X.; Wang, L.Q. Unraveling the timber supply chain in the belt and road region: Analyzing embodied timber flows and industrial interconnections. Resour. Conserv. Recycl. 2025, 215, 108138. [Google Scholar] [CrossRef]
  3. Huang, X.Y.; Wang, Z.W.; Pang, Y.; Tian, W.J.; Zhang, M. Static Resilience Evolution of the Global Wood Forest Products Trade Network: A Complex Directed Weighted Network Analysis. Forests 2024, 15, 1665. [Google Scholar] [CrossRef]
  4. Zhou, Y.Y.; Cheng, B.D.; Chen, J.B. Uncovering the Effect of Forest Certification on the Dynamic Evolution of the Global Log Trade Network: A Stochastic Actor-Oriented Model Approach. Sustainability 2022, 14, 8229. [Google Scholar] [CrossRef]
  5. Lovric, M.; Da Re, R.; Vidale, E.; Pettenella, D.; Mavsar, R. Social network analysis as a tool for the analysis of international trade of wood and non-wood forest products. For. Policy Econ. 2018, 86, 45–66. [Google Scholar] [CrossRef]
  6. Wang, F.; Tian, M.H.; Yin, R.S.; Yin, Z.H.; Zhang, Z.Y. Change of global woody forest products trading network and relationship between large supply and demand countries. Resour. Sci. 2021, 43, 1008–1024. [Google Scholar] [CrossRef]
  7. Xiong, L.C.; Wu, X.; Cheng, B.D.; Wang, F.T. Global value chain participation, trade cost and benefits of timber industry. Can. J. For. Res. 2024, 54, 1356–1366. [Google Scholar] [CrossRef]
  8. Cary, M. Climate policy boosts trade competitiveness: Evidence from timber trade networks. Renew. Sustain. Energy Rev. 2023, 188, 113869. [Google Scholar] [CrossRef]
  9. Snijders, T.A.B.; Van de Bunt, G.G.; Steglich, C.E.G. Introduction to actor-based models for network dynamics. Soc. Netw. 2010, 32, 44–60. [Google Scholar] [CrossRef]
  10. Koskinen, J.; Snijders, T.A.B. Multilevel longitudinal analysis of social networks. J. R. Stat. Soc. Ser. A Stat. Soc. 2023, 186, 376–400. [Google Scholar] [CrossRef]
  11. Arvis, J.F.; Duval, Y.; Shepherd, B.; Utoktham, C.; Raj, A. Trade Costs in the Developing World: 1996–2010. World Trade Rev. 2015, 15, 451–474. [Google Scholar] [CrossRef]
  12. Beghin, J.C.; Schweizer, H. Agricultural Trade Costs. Appl. Econ. Perspect. Policy 2020, 43, 500–530. [Google Scholar] [CrossRef]
  13. Anderson, J.E.; Marcouiller, D. Insecurity and the pattern of trade: An empirical investigation. Rev. Econ. Stat. 2002, 84, 342–352. [Google Scholar] [CrossRef]
  14. Anderson, J.E.; van Wincoop, E. Trade costs. J. Econ. Lit. 2004, 42, 691–751. [Google Scholar] [CrossRef]
  15. Yu, M.J. Can democratization foster bilateral trade for developing countries? A gravity investigation. China Econ. Q. 2008, 4, 1167–1190. [Google Scholar]
  16. Wu, H.M.; Wan, L.; Tian, H.; Chen, Z.F.; Zhang, Y. The Ternary Margins of China’s Forest Products Export and Their Determinants. For. Policy Econ. 2021, 123, 102378. [Google Scholar] [CrossRef]
  17. Elfenbein, D.W.; Fisman, R.; McManus, B. The Impact of Socioeconomic and Cultural Differences on Online Trade. Manag. Sci. 2023, 69, 6181–6201. [Google Scholar] [CrossRef]
  18. Tadesse, B.; White, R. Cultural Distance as a Determinant of Bilateral Trade Flows: Do Immigrants Counter the Effect of Cultural Differences? Soc. Sci. Res. Netw. 2007, 17, 147–152. [Google Scholar] [CrossRef]
  19. Kristjánsdóttir, H.; Guðlaugsson, Þ.Ö.; Guðmundsdóttir, S.; Aðalsteinsson, G.D. Cultural and geographical distance: Effects on UK exports. Appl. Econ. Lett. 2019, 27, 275–279. [Google Scholar] [CrossRef]
  20. Lankhuizen, M.B.M.; Groot, H.L.F. Cultural distance and international trade: A non-linear relationship. Lett. Spat. Resour. Sci. 2014, 9, 19–25. [Google Scholar] [CrossRef]
  21. Tian, H.; Jiang, C.H. Effect of National Cultural Distance on China’s Foreign Trade: Data Analysis of 31 Countries and Regions’ Trade Based on Gravity Model. J. Int. Trade 2012, 3, 45–52. [Google Scholar]
  22. Costinot, A. On the origins of comparative advantage. J. Int. Econ. 2009, 77, 255–264. [Google Scholar] [CrossRef]
  23. Peiró-Palomino, J.; Rodríguez-Crespo, E.; Suárez-Varela, M. Do countries with higher institutional quality transition to cleaner trade? Ecol. Econ. 2023, 201, 107554. [Google Scholar] [CrossRef]
  24. Nunn, N.; Trefler, D. Domestic institutions as a source of comparative advantage. In Handbook of International Economics; Elsevier: Amsterdam, The Netherlands, 2014; pp. 263–315. [Google Scholar]
  25. Cui, N.; Liu, C. The influence of the belt and road countries’ institutions environment on Chinese export efficiency. World Econ. Stud. 2017, 282, 38–50+135–136. [Google Scholar]
  26. Khan, A.; Ullah, M. The Pakistan-China FTA: Legal challenges and solutions for marine environmental protection. Front. Mar. Sci. 2024, 11, 1478669. [Google Scholar] [CrossRef]
  27. Zeng, H.S.; Chen, S.Y.; Zhang, H.R.; Xu, J.H. The effects and mechanisms of deep free trade agreements on agricultural global value chains. Front. Sustain. 2025, 8, 1523091. [Google Scholar] [CrossRef]
  28. Gao, L.; Pei, T.W.; Tian, Y. Trade Creation or Diversion?—Evidence from China’s Forest Wood Product Trade. Forests 2024, 15, 1276. [Google Scholar] [CrossRef]
  29. Zhang, X.; Li, C.X. Network Causal Effects of Deepening Global Trade Agreements on Embodied Carbon Emissions. J. Clean. Prod. 2024, 434, 140033. [Google Scholar] [CrossRef]
  30. Zhang, X.; Han, S.F.; Zheng, X.X.; Chen, Y. Does the Regional Comprehensive Economic Partnership Promote Forest Product Exports? Evidence on Bilateral Export Performance from China. Forests 2025, 16, 64. [Google Scholar] [CrossRef]
  31. Chen, J.; Wang, L.; Li, L.; Magalhaes, J.; Song, W.; Lu, W.; Xiong, L.; Chang, W.; Sun, Y. Effect of forest certification on international trade in forest products. Forests 2020, 11, 1270. [Google Scholar] [CrossRef]
  32. Prell, C.; Sun, L.; Feng, K.; He, J.; Hubacek, I. Uncovering the spatially distant feedback loops of global trade: A network and input-output approach. Sci. Total Environ. 2017, 586, 401–408. [Google Scholar] [CrossRef] [PubMed]
  33. Block, P.; Hollway, J.; Stadtfeld, C.; Koskinen, J.; Snijders, T.A.B. Circular Specifications and “predicting” with Information from the Future: Errors in the Empirical SAOM–TERGM Comparison of Leifeld & Cranmer. Netw. Sci. 2022, 10, 3–14. [Google Scholar] [CrossRef]
  34. Ceoldo, G.; Snijders, T.A.B.; Wit, E.C. Stochastic Actor Oriented Model with Random Effects. Soc. Netw. 2024, 78, 150–163. [Google Scholar] [CrossRef]
  35. Jesse, C.S. Market formation as transitive closure: The evolving pattern of trade in music. Netw. Sci. 2016, 4, 164–187. [Google Scholar]
  36. Borgatti, S.P.; Everett, M.G. Models of core/periphery structures. Soc. Netw. 1999, 21, 375–395. [Google Scholar] [CrossRef]
  37. Kristina, K.; Andreja Pirc, B.; Martina Basarac, S. Assessing the Role of Forest Certification and Macroeconomic Indicators on Croatian Wood Exports to the EU: A Panel Data Approach. Forests 2023, 14, 1908. [Google Scholar] [CrossRef]
  38. Natalie, C.; Dennis, N. Gravity and Heterogeneous Trade Cost Elasticities. Econ. J. 2022, 132, 1349–1377. [Google Scholar]
  39. Jaana, K.; Jesse, D.H.; Jeffrey, P. National Forest Timber Bids and Export Price Interlinkages in the USA: The Bounds Testing Approach. For. Policy Econ. 2023, 152, 102987. [Google Scholar] [CrossRef]
  40. Liu, L.Q.; Yan, X.F.; Yang, L.S.; Song, M. Research on the Evolution and Endogenous Mechanism of International Trade Dependence Network. China Ind. Econ. 2021, 2, 98–116. [Google Scholar]
  41. Liu, L.Q.; Shen, M.Y.; Sun, D.; Yan, X.F.; Hu, S. Preferential Attachment, R&D Expenditure and the Evolution of International Trade Networks from the Perspective of Complex Networks. Phys. A-Stat. Mech. Its Appl. 2022, 603, 127579. [Google Scholar]
  42. Kinne, B.J.; Bunte, J.B. Guns or money? Defense co-operation and bilateral lending as coevolving networks. Br. J. Political Sci. 2020, 50, 1067–1088. [Google Scholar] [CrossRef]
  43. Balland, P.A.; De Vaan, M.; Boschma, R. The dynamics of inter-firm networks along the industry life cycle: The case of the global video game industry, 1987–2007. J. Econ. Geogr. 2013, 13, 741–765. [Google Scholar] [CrossRef]
  44. Gui, Q.C.; Du, D.B.; Liu, C.L.; Hou, C.G. The evolution of the global scientific collaboration network: A stochastic actor-oriented model approach. Geogr. Res. 2022, 41, 2631–2647. [Google Scholar]
Figure 1. Global timber trade network in 2000. Source: Calculated by the authors using data from the UN Comtrade database (https://wits.worldbank.org/ (accessed on 14 July 2025)).
Figure 1. Global timber trade network in 2000. Source: Calculated by the authors using data from the UN Comtrade database (https://wits.worldbank.org/ (accessed on 14 July 2025)).
Forests 16 01817 g001
Figure 2. Global timber trade network in 2010. Source: Calculated by the authors using data from the UN Comtrade database (https://wits.worldbank.org/ (accessed on 14 July 2025)).
Figure 2. Global timber trade network in 2010. Source: Calculated by the authors using data from the UN Comtrade database (https://wits.worldbank.org/ (accessed on 14 July 2025)).
Forests 16 01817 g002
Figure 3. Global timber trade network in 2024. Source: Calculated by the authors using data from the UN Comtrade database (https://wits.worldbank.org/ (accessed on 14 July 2025)).
Figure 3. Global timber trade network in 2024. Source: Calculated by the authors using data from the UN Comtrade database (https://wits.worldbank.org/ (accessed on 14 July 2025)).
Forests 16 01817 g003
Table 1. The descriptive statistical characteristics of each variable.
Table 1. The descriptive statistical characteristics of each variable.
2010 (161)2015 (161)2020 (161)
MinMax Mean MinMax Mean MinMax Mean
NET0.001.000.090.001.000.060.001.000.06
TII0.0119.768.770.8120.8410.350.7920.8710.02
Log (FSP)0.666.033.460.526.013.450.415.983.42
CER0.000.680.110.000.790.140.000.860.14
Log (COC)0.003.571.440.003.591.670.004.021.71
Log (GDPP)2.535.043.772.585.023.802.645.063.81
Log (DIS)0.0019.907.770.0019.907.770.0019.907.77
LAW3.2498.4249.583.2298.7949.771.5297.7649.45
LAN0.001.000.150.001.000.150.001.000.15
FTA0.001.000.620.001.000.740.001.001.19
PRICE0.2041.334.180.4526.914.020.5510.413.07
Table 2. The core and peripheral countries of the network in each year.
Table 2. The core and peripheral countries of the network in each year.
YearNumber of Core NodeCore NodeNumber of
Semi-Periphery Nodes
Number of
Periphery Nodes
20005USA, DEU, FIN, SWE, CAN25151
20015USA, DEU, SWE, FIN, RUS27155
20026USA, DEU, CAN, SWE, FIN22156
20036DEU, USA, SWE, FIN, RUE, CAN25156
20044DEU, USA, SWE, FIN27156
20055DEU, USA, SWE, FIN, RUS26156
20065DEU, USA, FIN, AUT, SWE27157
20073DEU, USA, AUT, SWE,26162
20084DEU, USA, CHE, FRA26163
20095DEU, USA, FRA, SWE, AUT25159
20105USA, DEU, SWE, FRA, FIN24165
20113DEU, USA, SWE25166
20124DEU, USA, SWE, ITA25165
20134DEU, USA, SWE, AUT27164
20144DEU, USA, SWE, AUT25164
20153DEU, USA, SWE28160
20163DEU, USA, SWE29161
20177DEU, USA, SWE, POL, AUT, FRA, NLD23169
20184DEU, USA, POL, SWE26167
20196DEU, USA, POL, SWE, FRA, AUT25161
20206DEU, USA, POL, NLD, AUT, SWE25160
20218DEU, AUT, USA, POL, FRA, SWE, NLD, LTU19142
20225DEU, POL, SWE, AUT, USA23163
20237DEU, POL, AUT, SWE, FIN, LVA, USA25156
20246DEU, FIN, POL, USA, SWE, LVA24149
Table 3. The effect of endogenous network structure on the dynamic evolution of timber trade network.
Table 3. The effect of endogenous network structure on the dynamic evolution of timber trade network.
Model 1Model 2
Network DynamicsEst.SEEst.SE
1. rate (period 1)9.4742 ***0.46659.876 ***0.4916
2. rate (period 2)8.3274 ***0.44528.7088 ***0.4466
3. eval outdegree (density)−3.4552 ***0.1032−3.8836 ***0.1085
4. eval reciprocity0.6934 ***0.11290.7237 ***0.1157
5. eval 3-cycles0.0363 **0.01970.032 *0.0167
6. eval transitive ties0.3872 ***0.13490.3685 ***0.1304
7. eval GWESP I → K → J (69) 1.3637 ***0.07121.3678 ***0.0853
8. eval GWESP I ← K ← J (69)−0.284 **0.125−0.01340.1265
9. eval GDPP alter −0.3944 ***0.0619
10. eval GDPP ego −0.1147 ***0.0658
11. eval GDPP similarity 0.6591 ***0.1526
12. eval FSP alter −0.3593 ***0.0576
13. eval FSP ego 0.5584 ***0.0618
14. eval FSP similarity 3.092 ***0.3579
Convergence ratio0.17360.1616
Iteration steps23863010
Note: * indicates p < 0.1, ** indicates p < 0.05, *** indicates p < 0.01.
Table 4. The results of the effect of trade cost on the dynamic evolution of timber trade network.
Table 4. The results of the effect of trade cost on the dynamic evolution of timber trade network.
Model 3Model 4
Network DynamicsEst.SEEst.SE
1. rate (period 1)10.0758 ***0.524510.0623 ***0.4943
2. rate (period 2)8.8588 ***0.46868.8515 ***0.4625
3. eval outdegree (density)−4.0192 ***0.127−3.9665 ***0.1271
4. eval reciprocity0.5507 ***0.12140.5556 ***0.1141
5. eval 3-cycles0.01790.01820.02520.0167
6. eval transitive ties0.3668 **0.13860.3521 **0.1608
7. eval GWESP I → K → J (69) 1.4191 ***0.09141.3876 ***0.0828
8. eval GWESP I ← K ← J (69)−0.13380.13630.09910.1221
9. eval GDPP alter−0.4229 ***0.0726−0.3789 ***0.0733
10. eval GDPP ego−0.08580.0757−0.09340.0853
11. eval GDPP similarity0.4575 **0.170.4553 ***0.1722
12. eval FSP alter−0.341 ***0.0622−0.3573 ***0.056
13. eval FSP ego0.5521 ***0.06740.5668 ***0.0648
14. eval FSP similarity2.71 ***0.38132.7084 ***0.3468
15. eval Distance−0.0438 ***0.0066−0.0471 ***0.0069
16. eval language0.4551 ***0.08390.4567 ***0.081
17. eval FTA0.0135 ***0.00650.0167 ***0.0067
18. eval LAW alter0.0003 **0.00110.00050.0011
19. eval LAW ego−0.0024 **0.0012−0.0026 **0.0013
20. eval LAW similarity0.15090.11810.13470.1146
21. eval CER alter −1.2809 ***0.2723
22. eval CER ego 0.06360.2557
23. eval CER similarity −0.4976 *0.284
24. eval PRICE 0.05390.0592
Convergence ratio0.19340.1662
Iteration steps34213751
Note: * indicates p < 0.1, ** indicates p < 0.05, *** indicates p < 0.01.
Table 5. The analysis results of the impact mechanism of trade structure characteristics on the dynamic evolution of timber trade network.
Table 5. The analysis results of the impact mechanism of trade structure characteristics on the dynamic evolution of timber trade network.
Model 5Model 6
Network DynamicsEst.SEEst.SE
1. rate (period 1)10.3509 ***0.569810.3493 ***0.6098
2. rate (period 2)9.0289 ***0.42519.0295 ***0.4746
3. eval outdegree (density)−4.0242 ***0.1294−4.0329 ***0.1155
4. eval reciprocity0.6583 ***0.12170.6567 ***0.129
5. eval 3-cycles0.0318 *0.01670.0309 **0.0166
6. eval transitive ties0.3104 **0.14870.3022 **0.1436
7. eval GWESP I → K → J (69) 1.3538 ***0.09341.3612 ***0.096
8.eval GWESP I ← K ← J (69)0.2121 *0.12090.2209 *0.1295
9. eval GDPP alter−0.5224 ***0.0793−0.5241 ***0.0804
10. eval GDPP ego−0.0250.0804−0.02780.0876
11. eval GDPP similarity0.5284 ***0.17580.5314 ***0.1812
12. eval FSP alter−0.1308 **0.0729−0.1325 **0.062
13. eval FSP ego0.3529 ***0.07580.3574 ***0.0795
14. eval FSP similarity1.9736 ***0.38331.9914 ***0.3623
15. eval DIS−0.0501 ***0.0072−0.0503 ***0.0076
16. eval lAN0.4876 ***0.08310.4915 ***0.0886
17. eval FTA0.0172 **0.00670.0172 ***0.0064
18. eval LAW alter0.00010.00120.00010.0012
19. eval LAW ego−0.0026 **0.0013−0.0026 **0.0014
20. eval LAW similarity0.12780.11820.12660.1159
21. eval CER alter−1.3718 ***0.2894−1.3643 ***0.3033
22. eval CER ego0.01410.26890.01760.2776
23. eval CER similarity−0.48720.3029−0.47470.3107
24. eval PRICE0.06470.05950.06470.0616
25. eval TII alter−0.0406 ***0.0063−0.0407 ***0.0056
26. eval TII ego0.0288 ***0.00640.0287 ***0.0062
27. eval TII similarity0.00940.11970.00620.1123
28. eval int. TII ego × GDPP alter0.0218 ***0.00710.0217 ***0.0071
29. eval int. TII ego × CER alter −0.00140.0269
30. rate TII (period 1)11.7413 ***2.123411.7526 ***2.3239
31. rate TII (period 2)2.0689 ***0.27632.0563 ***0.2776
32. eval TII linear shape0.1524 ***0.04450.1523 ***0.0499
33. eval TII quadratic shape0.00210.00210.00210.002
Convergence ratio0.24360.1861
Iteration steps44254493
Note: * indicates p < 0.1, ** indicates p < 0.05, *** indicates p < 0.01.
Table 6. The results of the robustness test.
Table 6. The results of the robustness test.
Model 7Model 8
Network DynamicsEst.SEEst.SE
1. rate (period 1)10.5224 ***0.539710.2834 ***0.4893
2. rate (period 2)8.8904 ***0.46147.6811 ***0.3942
3. eval outdegree (density)−3.9651 ***0.1253−4.1535 ***0.1367
4. eval reciprocity0.6403 ***0.13650.6909 ***0.1238
5. eval 3-cycles0.0120.01650.02430.0165
6. eval transitive ties0.2898 ***0.15530.4006 **0.1584
7. eval GWESP I → K → J (69) 1.2702 ***0.10521.4349 ***0.0958
8. eval GWESP I ← K ← J (69)0.12670.12620.2125 *0.1243
9. eval GDPP alter−0.6867 ***0.0773−0.5411 ***0.0858
10. eval GDPP ego−0.02350.08550.00770.0856
11. eval GDPP similarity0.7316 ***0.17170.4671 ***0.1688
12. eval FSP alter−0.1527 **0.07−0.1288 *0.0689
13. eval FSP ego0.3442 ***0.07620.3615 ***0.0731
14. eval FSP similarity1.8424 ***0.42071.8584 ***0.3756
15. eval DIS−0.0633 ***0.007−0.0525 ***0.0071
16. eval lAN0.5431 ***0.08880.5077 ***0.0864
17. eval FTA0.0112 ***0.00670.0197 ***0.0072
18. eval LAW alter0.00010.00110.00010.0012
19. eval LAW ego−0.002 *0.0012−0.0033 **0.0013
20. eval LAW similarity0.17650.11220.07260.1194
21. eval CER alter0.4324 ***0.0547−1.1071 ***0.2871
22. eval CER ego0.2126 ***0.050.17640.2771
23. eval CER similarity−0.30610.1991−0.00150.3636
24. eval PRICE 0.05230.06420.0020.0346
25. eval TII alter−0.0313 ***0.0059−0.0355 ***0.0059
26. eval TII ego0.0302 ***0.00680.0223 ***0.0068
27. eval TII similarity−0.03270.1055−0.0460.1086
28. eval int. TII ego × GDPP alter0.022 ***0.00780.0187 **0.0077
29. eval int. TII ego × CER−0.00230.0059−0.01010.0272
30. rate TII (period 1)11.7573 ***2.81639.0984 ***1.4462
31. rate TII (period 2)2.066 ***0.26051.2848 ***0.1757
32. eval TII linear shape0.152 ***0.03670.2741 ***0.0529
33. eval TII quadratic shape0.00210.00210.0041 *0.0024
Convergence ratio0.24090.1867
Iteration steps44934493
Note: * indicates p < 0.1, ** indicates p < 0.05, *** indicates p < 0.01.
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content.

Share and Cite

MDPI and ACS Style

Zhou, Y.; Zhang, Y.; Zhao, W.; Cheng, B.; Qin, G.; Wang, F. Determinants of the Global Timber Trade Network Evolution a Stochastic Actor-Oriented Model Analysis. Forests 2025, 16, 1817. https://doi.org/10.3390/f16121817

AMA Style

Zhou Y, Zhang Y, Zhao W, Cheng B, Qin G, Wang F. Determinants of the Global Timber Trade Network Evolution a Stochastic Actor-Oriented Model Analysis. Forests. 2025; 16(12):1817. https://doi.org/10.3390/f16121817

Chicago/Turabian Style

Zhou, Yingying, Yage Zhang, Wenqi Zhao, Baodong Cheng, Guangyuan Qin, and Fengting Wang. 2025. "Determinants of the Global Timber Trade Network Evolution a Stochastic Actor-Oriented Model Analysis" Forests 16, no. 12: 1817. https://doi.org/10.3390/f16121817

APA Style

Zhou, Y., Zhang, Y., Zhao, W., Cheng, B., Qin, G., & Wang, F. (2025). Determinants of the Global Timber Trade Network Evolution a Stochastic Actor-Oriented Model Analysis. Forests, 16(12), 1817. https://doi.org/10.3390/f16121817

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Article metric data becomes available approximately 24 hours after publication online.
Back to TopTop