πŸ—ΊοΈ Farm pastures β€” density vs. good husbandry

Three ways of drawing each area's territory from its centroid, from most generous to tightest, each checked against good-husbandry stocking guidelines (2.47/ha for cattle, 40/ha for outdoor pigs).

South Pasture East Pasture Water Meadow The Paddock Piggery (sows + piglets) Boar Pen

1. Voronoi partition (maximum)

Each centroid extended to the perpendicular bisector with its nearest neighbor, clipped to the farm's bounding rectangle. The most generous reading β€” every area gets everything not closer to someone else.

AreaAnimalsAreaDensityGuidelineVerdict
South Pasture9 cattle13.65 ha0.66/ha2.47/haSpacious (27%)
East Pasture10 cattle16.95 ha0.59/ha2.47/haSpacious (24%)
Water Meadow13 cattle15.42 ha0.84/ha2.47/haSpacious (34%)
The Paddock9 cattle11.44 ha0.79/ha2.47/haSpacious (32%)
Piggery β€” sows only27 sows13.40 ha2.01/ha40/haSpacious (5%)
Piggery β€” sows + piglets (low)29713.40 ha22.16/ha40/haComfortable (55%)
Piggery β€” sows + piglets (high)35113.40 ha26.19/ha40/haComfortable (66%)
Boar Pen3 boars3.63 ha0.83/ha40/haSpacious (2%)

2. Nearest-neighbor circles (non-overlapping)

Radius = half the distance from each centroid to its single nearest neighbor. Guaranteed not to overlap anyone, but tighter than the Voronoi max.

AreaNearest neighborRadiusAreaAnimalsDensityGuidelineVerdict
South PastureEast Pasture, 358m179m10.05 ha9 cattle0.90/ha2.47/haSpacious (36%)
East PastureWater Meadow, 270m135m5.71 ha10 cattle1.75/ha2.47/haComfortable (71%)
Water MeadowEast Pasture, 270m135m5.71 ha13 cattle2.28/ha2.47/haNear guideline (92%)
The PaddockPiggery, 163m81m2.08 ha9 cattle4.33/ha2.47/haOvercrowded (175%)
Piggery β€” sows onlyThe Paddock, 163m81m2.08 ha27 sows13.00/ha40/haSpacious (33%)
Piggery β€” sows + piglets (low)The Paddock, 163m81m2.08 ha297142.79/ha40/haOvercrowded (357%)
Piggery β€” sows + piglets (high)The Paddock, 163m81m2.08 ha351168.75/ha40/haOvercrowded (422%)
Boar PenThe Paddock, 253m126m5.01 ha3 boars0.60/ha40/haSpacious (2%)

3. Cluster footprint (centroid to farthest member)

Radius = distance from each area's own centroid to its own farthest animal β€” ignoring every neighbor entirely. The tightest, most physically grounded reading.

AreaRadiusAreaAnimalsDensityGuidelineVerdict
South Pasture69m1.51 ha9 cattle5.95/ha2.47/haOvercrowded (241%)
East Pasture324m32.91 ha10 cattle0.30/ha2.47/haSpacious (12%)
Water Meadow71m1.60 ha13 cattle8.12/ha2.47/haOvercrowded (329%)
The Paddock97m2.93 ha9 cattle3.07/ha2.47/haOvercrowded (124%)
Piggery β€” sows only60m1.12 ha27 sows24.18/ha40/haComfortable (60%)
Piggery β€” sows + piglets (low)60m1.12 ha297266.13/ha40/haOvercrowded (665%)
Piggery β€” sows + piglets (high)60m1.12 ha351314.52/ha40/haOvercrowded (786%)
Boar Pen16m0.08 ha3 boars39.74/ha40/haNear guideline (99%)