Study on the Climate Sensitivity Transition Matrix Growth Model of Liaodong Oak Stand in Qingyang City

Liheng Xu, Xianglong Liu, Naicheng Wu, Haifeng ZhaoSustainability 2025 · DOI

TL;DR

This study introduces a climate-sensitive transition matrix growth model for Liaodong oak forests in Qingyang City, China. The model effectively predicts forest structure and growth under different climate change scenarios, providing crucial data for sustainable forest management and ecological restoration in a region with limited research.

What Problem Does This Paper Address?

Forest management, particularly for long-lived species like Liaodong oak, faces a significant challenge in accurately predicting future stand development. This difficulty stems from the complex, long-term dynamics of forest growth, which hinders the design of optimal silvicultural strategies. Specifically, Qingyang City, a key region for Liaodong oak plantations established for ecological restoration, needs better tools to improve timber quality, increase yield, and enhance ecosystem services like carbon sequestration. Existing growth models often struggle with simulating stand structural dynamics (like diameter-class distribution), especially in regions with challenging terrain and limited historical data. This paper aims to fill that gap by developing a robust predictive framework tailored to the specific conditions of Qingyang City.

Methods

The researchers developed a transition-matrix growth model, a method that divides a forest stand into discrete states (in this case, diameter classes) and uses probabilities to describe how trees move between these states over time. This model includes sub-models for growth, ingrowth (new trees entering the smallest diameter class), and mortality (though mortality was not explicitly modeled due to a lack of observed data in the survey period).

What's novel here is the climate sensitivity integrated into the model. Instead of fixed transition probabilities, the model incorporates variables like mean annual temperature (MAT) and mean annual precipitation (MAP) to predict growth. They also included species diversity (H₁) and diameter class diversity (H₂) as predictors, acknowledging their influence on forest dynamics. The model uses statistical techniques like stepwise regression and a Tobit model for growth prediction and a Probit model for mortality probability.

Datasets

The study utilized data from the sixth, seventh, and eighth National Forest Resource Inventories (CNFI) in Qingyang City, China, collected between 2006 and 2016. These inventories involved remeasuring permanent sample plots every five years. The data included measurements of diameter at breast height (DBH), basal area, and tree height. A total of 87 permanent sample plots dominated by Liaodong oak were selected, with 60 used for model construction and 27 for validation.

Key Insights and Ideas

  • Climate Matters for Forest Structure: The study clearly demonstrates that different climate change scenarios (RCP2.6, RCP4.5, RCP8.5) lead to divergent future forest structures, particularly in terms of tree density and the prevalence of large-diameter trees.
  • Transition Matrix Models are Powerful for Structure: This approach effectively captures the dynamic evolution of stand structure, especially the diameter-class distribution, which is crucial for understanding forest development and planning interventions like thinning.
  • Species Diversity's Complex Role: The impact of species diversity (H₁) on growth varies significantly by species. While it benefits maple, it appears to hinder the growth of Liaodong oak and other species, likely due to competition dynamics.
  • Diameter Class Diversity's Double-Edged Sword: Diameter class diversity (H₂) also has species-specific effects, positively influencing Chinese arborvitae and maple but negatively impacting Liaodong oak. This highlights how stand structure influences competition.
  • Regional Climate Differences are Key: While global climate scenarios are important, the study emphasizes that localized climate variations (MAT and MAP) have a significant and direct impact on tree growth within the specific study area.

Key Results

  • RCP2.6 Favors Larger Trees: Under the most optimistic climate scenario (RCP2.6), stands are predicted to have higher growing stock, a more balanced diameter distribution, and a significantly larger number of large-diameter trees.
  • Model Accuracy: The developed transition matrix growth model demonstrated good performance, with a Root Mean Square Error (RMSE) of 1.32 m²/ha and a Mean Absolute Error (MAE) of 0.96 m²/ha when predicting cross-sectional area at breast height.
  • Climate Impacts on Species Distribution: Simulations suggest that under drier scenarios (RCP4.5), Chinese arborvitae, a drought-tolerant species, may persist more in the small-diameter class, while other species' proportions in smaller classes might decline.
  • Forest Volume Trends: Forest volume is projected to increase across all scenarios, with the most significant gains under RCP2.6, largely driven by the growth of "other species" groups.

Limitations and Future Work

  • Lack of Mortality Data: The study acknowledges the absence of observed tree mortality data during the survey period, meaning a mortality sub-model could not be explicitly developed. This is a significant limitation for long-term predictions.
  • Relatively Low R²: The paper notes that the relatively low R² value for some models indicates room for improvement in predictive accuracy.
  • Extrapolation Caution: While the model is valuable for Qingyang City, the authors advise caution when applying it beyond the study area, suggesting further validation with broader climate datasets.
  • Future Directions: The authors suggest integrating machine learning techniques and mixed-effects models to enhance the model's accuracy and applicability, particularly for addressing the mortality component and improving overall predictive power.
BibTeX
@inproceedings{xu2025study,
  author = {Liheng Xu and Xianglong Liu and Naicheng Wu and Haifeng Zhao},
  title = {{Study on the Climate Sensitivity Transition Matrix Growth Model of Liaodong Oak Stand in Qingyang City}},
  booktitle = {Sustainability},
  year = {2025},
  doi = {10.3390/su172310864},
}