These studies suggest that the probability of large tree failure is influenced by tree characteristics such as upper diameter and height/diameter ratio, as well as climate factors like increasing temperatures and precipitation.
The Probability of Large Tree Failure
Understanding the probability of large tree failure is crucial for forest management, urban planning, and public safety. In Scotland, where forests are a significant part of the landscape, assessing the risk of tree failure due to various factors such as wind, snow, and climate change is essential. This article will explore the probability of large tree failure, focusing on Scots pine (Pinus sylvestris L.), a common species in Scotland, and provide example probabilities based on research findings.
Factors Influencing Tree Failure
Wind and Snow Damage
Wind and snow are significant factors contributing to tree failure. Research has shown that tree characteristics such as upper diameter and the ratio of height to diameter at breast height are critical predictors of damage probability. For instance, a study conducted in Sweden developed a logistic risk assessment model using data from Scots pine stands. The model indicated that the overall damage probability never exceeded 0.26 for any of the sample plots used for model development. This means that, under the conditions studied, there was a maximum 26% chance of tree damage within a plot due to wind and snow during any given weather event (1).
Climate Change
Climate change is another critical factor affecting tree survival. Increasing temperatures and changing precipitation patterns can significantly impact tree mortality. A study on Germany’s most important tree species, including Scots pine, found that increasing temperatures decreased survival probability, while decreasing precipitation increased mortality risk. This suggests that as Scotland’s climate changes, the risk of tree failure may increase, particularly for species like Scots pine that are sensitive to these changes (2).
Example Probabilities
Scots Pine in Boreal Zones
In boreal zones, such as those found in Norway and northern Sweden, the probability of tree damage due to wind and snow can be predicted using tree characteristics. For example, the logistic model developed in a Swedish study showed that at a given upper diameter, the probability of damage is higher for trees with a high height-to-diameter ratio. This means that taller, thinner trees are more likely to suffer damage. The model’s predictions indicated that the damage probability never exceeded 0.26, providing a useful benchmark for assessing risk in similar environments (1,5).
Impact of Climate on Survival
The survival probability of Scots pine and other tree species can be significantly affected by climate factors. A German study found that for Scots pine, increasing temperatures and decreasing precipitation both contributed to higher mortality risk. For example, under future climate scenarios with higher temperatures and less rainfall, the survival probability of Scots pine could decrease substantially. This highlights the importance of considering climate change in forest management and planning (2).
Implications for Scotland
Forest Management
For forest managers in Scotland, understanding the probability of tree failure is essential for making informed decisions about tree planting, thinning, and harvesting. By using models that predict damage probability based on tree characteristics and climate factors, managers identify high-risk areas and take proactive measures to reduce the risk of tree failure. For example, selecting tree species with lower susceptibility to wind and snow damage or those better adapted to changing climate conditions can help improve forest resilience.
Urban Planning
In urban areas, large trees provide numerous benefits, including shade, air quality improvement, and aesthetic value. However, they also pose a risk if they or parts of them fail. Urban planners can use probability models to assess the risk of tree failure and implement strategies to mitigate this risk. For instance, regular tree inspections and maintenance, such as pruning to reduce wind resistance, can help prevent failures and reduce the risk to public safety.
Public Safety
Ensuring public safety is a primary concern when it comes to large tree failure. By understanding the factors that contribute to tree failure and the associated probabilities, authorities can develop and implement safety measures to protect people and property. This mostly entails regular inspections and tree maintenance.
Conclusion
The probability of large tree failure is influenced by multifaceted factors, including arboreal decay, wind exposure, snow loading, and climate change impacts. Empirical research demonstrates that critical tree characteristics, such as upper stem diameter and height-to-diameter ratio, are pivotal predictors of potential structural damage. Climate change further exacerbates tree vulnerability, with escalating temperatures and increasingly erratic precipitation patterns contributing to heightened mortality rates. By comprehensively evaluating these interconnected variables, tree inspectors, forest managers and urban planners can make informed, strategic decisions to mitigate tree failure risks and safeguard both ecological systems and community environments
References and related papers
- Valinger, E., & Fridman, J. (1997). Modelling probability of snow and wind damage in Scots pine stands using tree characteristics. Forest Ecology and Management, 97, 215-222. https://doi.org/10.1016/S0378-1127(97)00062-5.
- Brandl, S., Paul, C., Knoke, T., & Falk, W. (2020). The influence of climate and management on survival probability for Germany’s most important tree species. Forest Ecology and Management, 458, 117652. https://doi.org/10.1016/j.foreco.2019.117652.
- Grace, J. (1990). Cuticular water loss unlikely to explain tree-line in Scotland. Oecologia, 84, 64-68. https://doi.org/10.1007/BF00665596.
- Haaften, M., Liu, Y., Wang, Y., Zhang, Y., Gardebroek, C., Heijman, W., & Meuwissen, M. (2021). Understanding tree failure—A systematic review and meta-analysis. PLoS ONE, 16. https://doi.org/10.1371/journal.pone.0246805.
- Eid, T., & Tuhus, E. (2001). Models for individual tree mortality in Norway. Forest Ecology and Management, 154, 69-84. https://doi.org/10.1016/S0378-1127(00)00634-4.
- Kabir, E., Guikema, S., & Kane, B. (2018). Statistical modeling of tree failures during storms. Reliab. Eng. Syst. Saf., 177, 68-79. https://doi.org/10.1016/j.ress.2018.04.026.
- Ciftci, C., Arwade, S., Kane, B., & Breña, S. (2014). Analysis of the probability of failure for open-grown trees during wind storms. Probabilistic Engineering Mechanics, 37, 41-50. https://doi.org/10.1016/J.PROBENGMECH.2014.04.002.
- Salisbury, A., Koeser, A., Andreu, M., Chen, Y., Freeman, Z., Miesbauer, J., Herrera-Montes, A., Kua, C., Nukina, R., Rockwell, C., Shibata, S., Thorn, H., Wang, B., & Hauer, R. (2023). Predictors of tropical cyclone-induced urban tree failure: an international scoping review. , 6. https://doi.org/10.3389/ffgc.2023.1168495.
- Lamb, H. (1964). Trees and climatic history in scotland. Quarterly Journal of the Royal Meteorological Society, 90, 382-394. https://doi.org/10.1002/QJ.49709038603.