5 Animal Husbandry
Animals contribute to scoring (Chapter 2.1) and food (Chapter 3.1). Housing animals requires infrastructure: pastures, stables, and dogs.
5.1 Capacity system
A small pasture holds \(2\) animals; a large pasture holds \(4\). Each stable doubles the capacity of its pasture. A large pasture with two stables holds \(16\) animals.
Dogs act as sheepdogs: \(n\) dogs allow housing \(n+1\) sheep in living spaces (no pasture needed).
A stable doubles small pasture capacity (\(2 \to 4\)) and large pasture capacity (\(4 \to 8\)).
By computation.
A large pasture with two stables holds \(4 \times 4 = 16\) animals, the maximum single-space animal capacity.
\(\text{largePastureTwoStableCapacity} = 16 = 4 \times \text{largePastureCapacity}\).
\(\text{dogSheepCapacity}(1) = 2\), \(\text{dogSheepCapacity}(3) = 4\), and the function is strictly monotone.
Direct from \(f(n) = n + 1\).
For \(n {\lt} 15\), \(\text{dogSheepCapacity}(n) {\lt} 16\). Dogs are inferior to a fully stabled large pasture for mass animal housing.
\(n + 1 {\lt} 16\) for \(n {\lt} 15\).
\(\text{dogSheepCapacity}(1) = \text{smallPastureCapacity} = 2\). One dog matches a small pasture for sheep housing.
Both equal \(2\).