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Symmetric competition model

Most models of Malthusian population dynamics specify logistic growth to a carrying capacity, but the historical record of agrarian societies strongly suggests that repeated cycles of overshoot and collapse (so-called \"Malthusian crises\") are endogenous to population dynamics (see Nefedov, 2013 …

This discrete time model represents a coupled system as seen through talk turns in a conversation between a wife and husband where each exerts influence dynamically on the other. Cook et al. (1995) develop this entirely social model based on …

This model is a modification of an older model by Camporeale and Ridolfi (2006) that studied the influence of river flow variability on the distribution of biomass of riparian vegetation. The new and modified model defines an upper or hillside …

Exploring the dynamic feedbacks between biological and cultural evolutionary systems is critical to understanding the origins of modern human behavior. The authors present a population dynamics model using ordinary differential equations and agent based modeling to delineate the consequences of …

This model explores the long-term dynamic interaction between the exploitation of natural resources and population growth. This is a variant of Brander and Taylor (1998). The reference article, D'Alessandro (2007), gives the following description of the model. \"Two new assumptions …

This is a simple model of a prey–predator system in two areas, one of which receives fishing activity (fishing ground) and another that does not (MPA: marine protected area). Takashina et al. 2012 gives the following description of the model. …

This model describes the Pezzey-Anderies extension to the Brander-Taylor Easter Island model. In addition to the parameters in the Brandor-Taylor model, Pezzey and Anderies have introduced $tax$ and $h_m$. Pezzey and Anderies (2003) gives the following overview: \"We extend the …

This is a simple predator-prey model with type I or II functional response (depending on parameter choices). The model is also known as the Lotka–Volterra equation. Prey grows logistically and is harvested by predators. In the model, predators are specialists …

In this case, the surface water level is modeled by a first order differential equation. There are six sections with equal area that are allocated water based on institutions that determine how long each sector receives water, and in what …

This is a refined model of robustness and vulnerability trade-off of Pumpa irrigation system

This is a simple model with reciprocal feedbacks between social and ecological dynamics of farmland abandonment. With the rising urbanization, human migration to urban centers have increased significantly around the globe. One notable consequence of this migration pattern is that …

This is a simple model for resource dynamics under harvest. The authors added expected effects of investment in fixed structures on the dynamics of settlement. These sunk-cost effects are not included in this simple model.The authors introduce a model of …

This is a simple model that integrates 1) resource-population dynamics, 2) population migration, and 3) spatial heterogeneity in biophysical conditions (i.e., soi fertility). The reference article, Anderies and Hegmon (2011), gives the following abstract of the model. \"Migration is arguably …

This is a model that illustrates the relationship among levels of (1) population, (2) human-made capital, (3) natural capital , and (4) resource consumption. The key insight to be gained from the model is that as the ratio of capitalization …

This is a stylised model capturing \"the interdependencies of foraging, farming and productivity of an ecosystem\" and can be used to \"explore alternative scenarios of niche construction and ecological inheritance.\" The model has two components, forest growth and time allocated …

This replicator dynamics model considers the case of a common-pool resource system where social ostracism may be used to compel non-complying harvesters to avoid over-exploitation of the resource base. Here, non-compliant harvesters (i.e., defectors) are identified by their payoff strategy …

Models inspired by epidemiology and informed by the sociology of the spread dynamics, are applied to the diffusion of a specific scientific idea. Although the example will clearly not cover everyclass of ideas, it will point to features of epidemic …

This model presents an example of a global bifurcation (a heteroclinic connection). The model is a three-dimensional system with two resources and a single consumer, where one of the resources is fixed and the other is reproductive. By assuming that, …

Here, we present a model of the coupled dynamics between human socioeconomic choice (between cooperative and non-cooperative collective action) and nutrient loading input level into a lake water system. Suzuki and Iwasa (2008) explains the model as the following. \"In …