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Spatial Competition: Roughening of an Experimental Interface.
Andrew J Allstadt1, Jonathan A Newman2, Jonathan A Walter3
1Department of Forest and Wildlife Ecology, University of Wisconsin-Madison, Madison, Wisconsin 53706 USA.
Scientific Reports
|July 29, 2016
Summary
Invasive species like white clover form spatial clusters, with their spread resembling a moving interface. This study shows interface width and advance scale with length, but with unique exponents due to clover
Area of Science:
- Ecology
- Invasive Species Biology
- Mathematical Modeling
Background:
- Limited dispersal in clonal plants leads to spatial aggregation and concentrated interactions.
- Invasive species spread can be modeled as a moving interface between invading and resident populations.
- Kinetic roughening theory provides a framework for analyzing interface fluctuations and fractal structures.
Purpose of the Study:
- To test predictions of kinetic roughening theory in a plant invasion context.
- To quantify the spatial correlation and scaling relationships of invasive advance.
- To investigate how plant growth morphology influences invasion dynamics.
Main Methods:
- Experimental invasion of ryegrass (Lolium perenne) by white clover (Trifolium repens).
- Analysis of spatial correlation and interface dynamics using kinetic roughening theory.
- Measurement of interface width and advanced invader position over time.
Main Results:
- Spatial correlation of clover growth aligned with kinetic roughening predictions.
- Interface width and the most advanced invader's lead scaled with interface length.
- Observed scaling exponents differed from simulation predictions, attributed to clover's growth morphology.
Conclusions:
- Kinetic roughening theory effectively describes plant invasion interfaces, including spatial correlation and scaling.
- Plant growth morphology significantly influences the dynamics and scaling exponents of invasion fronts.
- Experimental validation of theoretical models is crucial for understanding complex ecological processes.

