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. 2012 Apr 5;7(4):e33257. doi: 10.1371/journal.pone.0033257

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.