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Related Experiment Video

Updated: Jul 18, 2025

Experimental Protocol for Manipulating Plant-induced Soil Heterogeneity
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Intermittent Precipitation-Dependent Interactions, Encompassing Allee Effect, May Yield Vegetation Patterns in a

Luis F Gordillo1, Priscilla E Greenwood2

  • 1Department of Mathematics and Statistics, Utah State University, Logan, UT, USA. luis.gordillo@usu.edu.

Bulletin of Mathematical Biology
|August 18, 2023
PubMed
Summary

This study models vegetation dynamics, revealing a critical precipitation frequency that shifts ecosystems from survival to extinction through unique aggregation patterns. The findings align with mean-field models, offering insights into vegetation spatial ecology.

Keywords:
Allee effectPattern formationVegetation aggregation

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Area of Science:

  • Ecological modeling
  • Spatial ecology
  • Mathematical biology

Background:

  • Vegetation dynamics are influenced by Allee effects and competition.
  • Precipitation is a key environmental factor affecting plant survival and distribution.
  • Understanding spatial patterns is crucial for predicting ecosystem behavior.

Purpose of the Study:

  • To develop a spatial model of vegetation biomass density.
  • To investigate the role of precipitation frequency in vegetation survival and extinction.
  • To characterize transitional aggregation patterns.

Main Methods:

  • Constructed a spatial model of vegetation as an evolving random field.
  • Incorporated Allee-type and competition interactions.
  • Analyzed precipitation-dependent interactions controlled by a precipitation frequency parameter.

Main Results:

  • Identified a narrow parameter range leading to a transition from vegetation survival to extinction.
  • Observed a transitional aggregation pattern linked to initial configurations.
  • Demonstrated that this aggregation differs from Turing patterns.

Conclusions:

  • Precipitation frequency critically influences vegetation persistence and spatial patterning.
  • The model provides a novel mechanism for vegetation aggregation and extinction.
  • Results show strong agreement with evolving random mean-field models.