Quick Start

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

Model Type
SES Library XPP 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.

Egalitarian society (No-Elites)

This scenario is when there are no Elites in the system and X_E = 0.

Equitable Society

This scenario includes an equitable society with Workers and Non-Workers in which the number of Elites is greater than 0 and the kappa multiplier for elite salaries is equal to 1.

Unequal Society

This scenario includes both Elites and Commoners where the number of elites is greater than 0 and the kappa multiplier for elite salaries is greater than 1.

No animations available.

No state variables defined.

No parameters defined.

$$$\dot{x_C} = \beta_C x_C - \alpha_C x_C$$$
$$$\dot{x_E} = \beta_E x_E - \alpha_E x_E$$$
$$$\dot{y} = \gamma y(\lambda - y) - \delta x_C y$$$
$$$\dot{w} = \delta x_C y - C_C - C_E$$$
$$$C_C = \min{(1,\frac{w}{w_th})} Sx_c$$$
$$$C_E = \min{(1,\frac{w}{w_th})} \kappa Sx_c$$$
$$$w_t_h = \rho x_C + \kappa \rho x_E$$$
$$$\alpha_C = \alpha_m + \max{(0,1 - \frac{C_C}{s x_C})} (\alpha_M - \alpha_m)$$$
$$$\alpha_E = \alpha_m + \max{(0,1 - \frac{C_E}{s x_E})} (\alpha_M - \alpha_m)$$$
$$$\eta = \frac{\alpha_M - \beta_C}{\alpha_M - \alpha_m}$$$
handy.ode
Loading source code...

Download Source File (handy.ode)

The source code file can be used with XPP/XPPAUT or other simulation tools.

Loading model data...