Seeing about Soil -- Management Lessons from a Simple Model for Renewable Resources

TL;DR

This paper uses a cellular automata model to study soil build-up and erosion, revealing how management strategies and production targets can lead to stable or breakdown states, with implications for renewable resource management.

Contribution

It introduces a simple, effective cellular automata model to analyze soil dynamics and management strategies, highlighting critical thresholds and cyclic behaviors.

Findings

Critical dependence on production targets causes system stability or breakdown.

Management strategies can induce cyclic or stable soil dynamics.

Model applicability extends to other renewable resources and disciplines.

Abstract

Employing an effective cellular automata model, we investigate and analyze the build-up and erosion of soil. Depending on the strategy employed for handling agricultural production, in many cases we find a critical dependence on the prescribed production target, with a sharp transition between stable production and complete breakdown of the system. Strategies which are particularly well-suited for mimicking real-world management approaches can produce almost cyclic behaviour, which can also either lead to sustainable production or to breakdown. While designed to describe the dynamics of soil evolution, this model is quite general and may also be useful as a model for other renewable resources and may even be employed in other disciplines like psychology.