RK Pete Wade | Seeing the Wood for the Trees – A Better Way to Measure Forest Density
In the world of forestry, understanding how densely packed trees are in a given area is crucial for effective forest management. However, traditional methods for measuring this ‘stand density’ have limitations. Now, a new approach developed by an independent researcher offers a more nuanced and accurate way to assess forest density across different species and environments.
A New Tool for Understanding Forest Dynamics
Pete Wade, an independent forest researcher based in Montana, USA, has derived a new formula for calculating the stand density index (SDI) – a key metric used by foresters to evaluate and manage forest growth. His work, published in the Canadian Journal of Forest Research, provides a species- and site-specific SDI that accounts for differences in growth patterns between tree species and across varying forest environments. Wade explains that this new method gives us a more precise tool for understanding forest dynamics. It allows foresters to better tailor their management approaches to specific forest types and locations.
The Challenge of Measuring Forest Density
Forests are complex ecosystems, and measuring their characteristics accurately is essential for both scientific study and practical management. One key aspect that foresters need to quantify is stand density – how many trees are growing in a given area and how closely packed together they are. This might seem like a simple thing to measure, but it’s surprisingly tricky to capture in a way that is meaningful across different forest types. A stand of towering redwoods will have very different density characteristics than a grove of smaller maple trees, even if they have the same number of trees per hectare. To address this, foresters use a metric called the stand density index (SDI). This takes into account both the number of trees and their size, providing a standardised way to compare density across different forest types.
The most widely used SDI formula was developed by L.H. Reineke in 1933. It revolutionised forestry practices, but it has limitations. Notably, it uses a fixed exponent in its calculations that doesn’t account for differences between tree species or growing conditions. Wade notes that Reineke’s SDI has been incredibly useful, but we’ve known for a while that it doesn’t quite capture the full picture, especially when comparing very different forest types. His work aims to build on Reineke’s foundation and create a more flexible, species-specific approach.
A New Approach to Density: Rethinking the Formula with a Species-Specific Solution
Wade started with some fundamental principles of forest growth to develop his new SDI formula. He looked at how the total volume of wood in a forest stand increases over time, and how the number of trees decreases as some die off due to competition or other factors. By combining mathematical models of growth and mortality with data on how individual tree volume relates to trunk diameter, Wade derived a new SDI equation. Crucially, this equation includes parameters that can be adjusted for different tree species and growing conditions.
Wade explains that the key innovation here is that we’re not using a one-size-fits-all approach. Instead, we’re calculating species-specific exponents that better reflect how each type of forest grows and thins itself naturally. To test and refine his approach, he analysed data from a wide range of forest types across North America and Australia. This included both coniferous and deciduous forests, as well as data from carefully managed experimental plots and more natural forest stands.
The results showed that Wade’s species-specific SDI values often differed significantly from those calculated using Reineke’s traditional method. For many conifer species, the new method produced lower SDI values, while for deciduous trees, it often gave higher values. Wade points out that this aligns with what we know about how different tree species grow and compete. Conifers often have more regular spacing and grow more uniformly, while deciduous trees can have more varied growth patterns.

From Theory to Forest Floor: Applying the New Stand Density Index in Practice
The new SDI formula isn’t just an academic exercise – it has real-world implications for forest management. Providing a more accurate picture of stand density can help foresters make better decisions about when and how to thin forests, how to promote optimal growth, and how to balance timber production with other forest values like wildlife habitat or carbon sequestration. One key advantage of the new method is that it can be applied using the same type of forest measurement data that is already routinely collected. This means forest managers can start using the new SDI calculations without needing to change their field practices or invest in new equipment.
Wade’s work also provides insights into how forest density changes over time. His analysis showed that the relationship between tree size and number changes as a forest ages, with the most rapid changes occurring in younger stands. He explains that this reinforces the importance of early management interventions in shaping forest development. It also highlights how our density measures need to be adaptable to different forest ages and stages.
Beyond the Pines: Global Forests, Local Insights
While Wade’s initial work focused primarily on North American forests, he sees potential for the method to be applied much more broadly. The mathematical framework he developed can be adapted to different forest types around the world, as long as good quality growth data is available. The research also opens up new avenues for studying how forests respond to changing environmental conditions. Providing a more precise way to quantify forest density and growth patterns could help scientists better understand and predict how forests might adapt to climate change.
Growing Pains: Challenges and Next Steps
While Wade’s new SDI formula offers significant advantages, he acknowledges that there are still challenges to overcome. One key issue is the need for high-quality, long-term forest growth data to accurately calculate the species-specific parameters.
There is also the challenge of convincing the forestry community to adopt a new method when the traditional Reineke SDI has been so widely used for decades. Wade hopes that by demonstrating the improved accuracy and flexibility of his approach, he can encourage wider adoption.
Looking ahead, Wade hopes to collaborate with other researchers to further test and refine the method across a wider range of forest types. He’s particularly interested in seeing how the approach might be applied in mixed-species forests, which present additional complexity.
A Forest of Possibilities
Wade’s work on stand density index is a prime example of how seemingly small refinements in scientific methods can have far-reaching implications. By developing a more flexible and accurate way to measure forest density, he is providing foresters and ecologists with a powerful new tool for understanding and managing these complex ecosystems.
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REFERENCE
https://doi.org/10.33548/SCIENTIA1110
MEET THE RESEARCHER

RK Pete Wade
Cross W M Ranch, Montana, USA
RK Pete Wade is a rancher, educator, and entrepreneur based in Montana. He holds a BA in Math and Botany (1966) and an MA in Math (1968) from the University of Montana, as well as an MA in Biology (1970) from Princeton University. In the early 1970s, Wade founded Cross W M Ranch while simultaneously running a retail business. He later worked as an instructor at Flathead Valley Community College until retirement. In 2000, Wade began acquiring the current ranch land, expanding it in 2011 and 2013. With his children Lisa and Ryan, he established Montana Better Beef, an organic grass-fed/finished beef operation that directly markets to consumers. The ranch has been certified organic since 2004 and employs regenerative practices. Wade is currently diversifying the ranch’s operations beyond cattle and beef. He occasionally publishes scientific articles in peer-reviewed journals on subjects of personal interest.
CONTACT
E: petewade942@gmail.com
FURTHER READING
RK Wade, A species- and site-specific stand density index based on growth and mortality, Canadian Journal of Forest Research, 2022, 52(7), 977–990. DOI: https://doi.org/10.1139/cjfr-2022-0091

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