04The area is not drawn — it is calculated
ODIN says which fire station turned out, not where the fire is. The pin on the map is therefore the station, and the app says so outright: the incident happened somewhere inside the dashed field around it. That field is not an estimate placed by hand. It is the station's Voronoi cell clipped to Denmark's land area — the part of the country where that particular station is the nearest of all 335.
The shape follows from that on its own. The border between two stations is the line halfway between them, and a halfway line is straight — hence a polygon and not a circle. The shape comes out lopsided when the neighbours are: Agerskov has Toftlund close by to the north-west and further to go to the north-east, so the cell stretches that way.
The calculation is one grid and one distance. Denmark's land area sits as 172,244 points 500 metres apart — 43,061 km². Each point is assigned to the nearest of the 335 stations, and the points belonging to one station are finally wrapped in a polygon that is guaranteed to contain them all. The station addresses come from Danske Beredskaber (rbis.dk) and the coordinates from the Danish Agency for Data Supply and Infrastructure.
The area used to be round, and that was wrong. The radius was then half the distance to the nearest neighbouring station — the largest circle that does not overlap the neighbour. It leaves holes by construction: put three stations in a triangle and there is a gap in the middle no circle reaches. Measured on the same grid, the circles the app used to draw covered 41.4 % of Denmark. The sentence 'the incident happened somewhere in here' was therefore wrong for more than half the country. The cells cover 100.00 % — and the table grew from 175 to 335 stations at the same time.
More coverage usually costs precision; here the opposite happens. The drawn area is a median 2.4 times smaller than the smallest circle around the station that would contain it. More truthful and more precise at once.
One thing is worth knowing. The polygon is convex, so a fjord or a bay does not cut a notch — the area comes out slightly too large rather than slightly too small. That is the right way to be wrong when the text promises the incident happened inside it. And the 'about 5.6 km' in the explanation is not a radius the cell has: it is the radius of a circle with the same area, used only to say the size in words.
It is all still an estimate. The fire services' real response areas are not public, and another station may have been the one to turn out. The app says that too — every single time.
- 335 fire stations, each with its own area
- 100.00 % of the country covered — measured, not assumed
- A median of 113 km² of land per station
- The border between two stations runs exactly halfway