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Spatial patterns of tree yield explained by endogenous forces through a correspondence between the Ising model and
Andrew E Noble1,2, Todd S Rosenstock3,4, Patrick H Brown3
1Department of Environmental Science and Policy, University of California, Davis, CA 95616; andrew.e.noble@gmail.com.
Summary
Spatial synchrony in tree nut production, like pistachio yields, can be explained by local interactions, not just environmental factors. This finding has broad ecological implications for understanding population dynamics.
Area of Science:
- Ecology
- Statistical Physics
- Population Dynamics
Background:
- Spatial patterning in periodic ecological dynamics is a long-standing question.
- Distinguishing between local (endogenous) and external (exogenous) drivers of these patterns is crucial.
Purpose of the Study:
- To explain spatial and temporal correlations in ecological dynamics using a fundamental mechanism.
- To investigate the role of short-range interactions in generating long-range correlations in tree nut production.
Main Methods:
- Applied the Ising model from statistical physics to analyze ecological data.
- Utilized 5 years of annual nut production data from over 6,500 pistachio trees.
Main Results:
- Pistachio tree nut production exhibited large-scale synchrony and power-law decaying correlations.
- These patterns align with predictions of the Ising model near criticality.
- Demonstrated that short-range interactions can cause long-range correlations despite environmental variability.
Conclusions:
- Root grafting may be a key mechanism driving positive short-range interactions in trees.
- This mechanism could explain the widespread phenomenon of masting (correlated seed production).
- The Ising model provides a robust framework for understanding spatial patterning in ecological dynamics.
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