Rangeland management
Created by Isabelle Alvarez – July 24, 2020, 6:37 p.m. – Last updated on july 29, 2020, 12:35 a.m.
We consider the issue of rangeland management and use a model to describe grass dynamics consisting of two parts, the crown and the shoots. We associate the grazing pressure with rangeland management policies by adjusting stock rate. However, pastoralists can not adjust stocking rates instantaneously. The aim is to design effective policies for delivering economically and environmentally viable agricultural systems.
3-dimensional state space
1-dimensional control space
\(c'=rs*s-c\)
\(s'=(a*c + rc*c*s)*(1-s)-g*s\)
\(g'=u\)
\(u>=umin\)
\(u<=umax\)
Parameters: \(rs\), \(a\), \(rc\), \(umin\), \(umax\)
\(c>=0\)
\(s>=smin\)
\(s<=1\)
\(g>=gmin\)
\(g<=1\)
Parameters: \(smin\), \(gmin\)