Table 1. Constraint sets of the three scenarios.
Scenarios | |||
Constraints | Action-oriented | Habitat-oriented | Result-oriented |
Productive performance P(u,T)>Pb | X | X | X |
Cattle feeding requirements q.u(t)<B*(t) | X | X | X |
Trampling u(t)≤u# | X | ||
Fecundity f(t)≤fb | X | ||
Grazing u(t)≥ub | X | ||
Habitat quality hb≤h (t)≤h# | X | ||
Population size N(t)≥Nb | X |
Productive performance constraint imposes that productive performance P(u,T) stays over a minimal productive performance Pb (the minimal annual number of grazing days per hectare associated with a grazing strategy u). Cattle feeding requirement constraint imposes that cattle demand q.u(t) is always lower than the available biomass B*(t). Cattle density constraint is an upper threshold u# on cattle density u(t) during the nesting month. A habitat quality constraint imposes grass height to remain within a minimal hb and maximal h# grass heights during chick rearing. Population size constraint imposes that populations size N(t) stays over a minimum population size Nb throughout time.