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Updated: Jun 29, 2026

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Published on: July 30, 2019
Predicting the species abundance distribution using a model food web
Craig R Powell1, Alan J McKane
1Theoretical Physics Group, School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK. craig.powell@manchester.ac.uk
The power-law normal distribution better models species abundance distributions (SAD) than log-normal models. This study used the Webworld ecosystem model to reveal features distinguishing ecological distribution models.
Area of Science:
- Ecology
- Theoretical Ecology
- Ecological Modeling
Background:
- Numerous species abundance distribution (SAD) models exist, often resembling the log-normal distribution and proving difficult to distinguish with empirical data.
- Ecological datasets are incomplete and noisy, limiting our ability to accurately approximate true underlying distributions.
- The complexity of real-world ecosystems makes analytical study of SAD challenging.
Purpose of the Study:
- To investigate the predicted species abundance distribution (SAD) using the complex Webworld ecosystem model.
- To identify distinguishing features between SAD models that are not apparent in field data.
- To compare the performance of different SAD models, including log-normal, logit-normal, and power-law normal distributions.
Main Methods:
- Utilized simulation data from the Webworld ecosystem model, a complex system not amenable to analytical solutions.
- Employed an analytical approach similar to that used for empirical ecological data.
- Examined large, fully described datasets from simulations to identify subtle model distinctions.
Main Results:
- The power-law normal distribution demonstrated superior performance compared to both log-normal and logit-normal distributions for modeling SAD.
- Simulation data revealed features capable of distinguishing between different SAD models, which are often obscured in empirical datasets.
- The study identified potential improvements to the power-law normal distribution at the high-population cut-off.
Conclusions:
- The power-law normal distribution is a more effective model for species abundance distributions than previously assumed log-normal or logit-normal distributions.
- Complex ecosystem models, when analyzed via simulation, can uncover critical differences between ecological distribution models.
- Further refinement of SAD models, particularly at population cut-offs, is warranted based on simulation insights.
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