Quantitative Models of Social-Ecological Systems

Title
Type

Life table

Model
The life table model is one of the type of survival analysis which pertains to "time to event". The information that were accumulated throughout the study is one of the advatage of this method.This often used in demographics and epidemiology but can also be used on agricultural economics. Sperling and Loevinsohn (1992) used this method in analyzing varietal diffusion for beans in which the main objective is to know howm nay technology adopters remains after a time period. 
30 Nov 2017

Measuring Riparian Width

Model
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 bound of riparian vegetation, in addition to the lower bound defined in the older model, and thus clearly delineate riparian width. The assumptions made in the model include:(1) Only one species is considered, thus ignoring interspecific dynamics. (2...
30 Nov 2017

Mathematics of Marital Conflict

Model
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 empirical observations of marital conflict in the Gottman Love Lab, a University of Washington social laboratory studying marital conflict and resolution.  The authors developed this model, then confirmed the model through turn-wise application of the...
30 Nov 2017

Fractal Poverty Traps

Model
The dynamic model for poverty traps contains parameters as government policies and technologies, and variables such as income, expenditures, assets holdings and anthropometric status. This dynamic model for poverty traps offers a new perspective by showing the existence of multiple stable equilibria, which implies that there's one unstable dynamic equilibria. At this unstable equilibria, any little shock in the system will cause a switch to state equilibrium. Different to the standard economic...
29 Nov 2017

Resource Dynamics Under Harvest and Sunk Cost Effects

Model
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 logictically regrowing resource exploited by a consumer. There is only one variable, which is level of local renewable sources. Parameters are: local renewable resources (R), settlement of humans (H), maximum growth rate (g), maximum level of...
29 Nov 2017

Modeling Human Ecodynamics and Biocultural Interactions in the Late Pleistocene of Western Eurasia

Model
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 differing mobility strategies expressed as reproduction potential at the population level for Late Pleistocene hominins in Western Eurasia (i.e., modern Homo sapiens and Neanderthals). The model...
29 Nov 2017

Refined Pumpa Irrigation System Model

Model
This is a refined model of robustness and vulnerability trade-off of Pumpa irrigation system
22 Nov 2017

Human and nature dynamics (HANDY): Modeling inequality and use of resources in the collapse or sustainability of societies

Model
HANDY is a 4-variable thought-experiment model for interaction of humans and nature. The focus is on predicting long-term behavior rather than short-term forecasting. Carrying Capacity is developed as a practical measure for forecasting collapses. A sustainable steady state is shown to be possible in different types of societies but over-exploitation of either Labor or Nature results in a societal collapse.
09 Oct 2016

Coupled population dynamics in an open, three-trophic-level system

Model
This model explicitly incorporates the immigration and emigration processes in the context of three-trophic-level systems (e.g., a stream reach), and reveals how the coupled populations will change in response to the primary-productivity gradients (e.g., r, K).  In contrast, traditional simple food-chain models study mostly two-trophic-level system which can be open or close.  More interstingly, though not reflected here, there are two contrasting models presented in the paper:...
09 Oct 2016

Effect of infrastructure design on commons dilemmas

Model
 The authors address the question of how infrastructure design affects SES sustainability in two stages. First, they explore the effects of design variations in shared infrastructure on long-term system behavior in a model system. They examine two types of distribution infrastructure, one with and one without upstream−downstream asymmetry, and different threshold characteristics of infrastructure maintenance. Second, they evaluate how these design variations influence the robustness of...
09 Oct 2016

Social Ostracism and Resource Management

Model
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 and incur an 'ostracism' penalty proportional to the number of compliant harvesters (i.e., co-operators) in the system. When the ostracism effect is equivalent to the number of compliant harvesters and the...
07 Oct 2016

Spread of ideas based on epidemiological models

Model
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 models that apply to idea diffusion. It will alsoreveal features of these models that require modification, thereby producing more realistic candidate models.At the onset of the spread of the idea, most of the population will be in the susceptible...
07 Oct 2016

Simple Model of Farming/Gathering Transition

Model
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 to either foraging or farming, coupled together. Three basic model assumptions are 1) individuals are households, 2) households choose to produce either tree seeds or maize and 3) territory is open access. Allocation of...
06 Oct 2016

Two-actor conflict with time delay: A dynamical model

Model
Based on previous mathematical studies, the authors created a model to analyze the conflict dynamics between two actors. In this model, they modified previous nonlinear dynamical models by Liebovitch et al. (2008) and Liebovitch, Vallacher, & Michaels (2010) by considering nonlinear delayed response between two actors. The results of the model show that under certain initial and feedback conditions, a stable neutral equilibrium of conflict may destabilize for some critical values of time...
05 Oct 2016

Leukopoiesis Model

Model
# Eqn 1:#β(Q) is the introduction rate#β0 represents the maximal rate of introduction in the proliferating phase#θ1 is the value for which β reaches half of its maximal value#n is the sen- sitivity of the rate of reintroduction#Q is the quiscent cells# Eqn 2:#k(W) is the differentiation rate#k0 is a proportionality coefficiet#m and θ2 depend on the growth factors responsible for maturation of considered white blood cells#W is lymphocytes (T, B, or NK)# Eqn 3:#Kv is the differentiation rate to...
03 Oct 2016