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.
@article{arxiv.1306.4422,
title = {Seeing about Soil -- Management Lessons from a Simple Model for Renewable Resources},
author = {Klaus Lichtenegger and Wilhelm Schappacher},
journal= {arXiv preprint arXiv:1306.4422},
year = {2015}
}