Based on the average frequency of encounters, the average spotting distances of encounters, the average percentage chance of an encounter being in a lair, and the average distance traversed per encounter throw, I worked up the expected number of lairs per hex.
You can use the following table to determine how many lairs will appear in each hex:
| Terrain | Lairs Per Hex |
| Inhabited | 1d4 |
| Clear, Grass, Scrub | 1d4 |
| Hills | 2d4+1 |
| Woods | 2d4+1 |
| Desert | 2d4+1 |
| Jungle | 2d6+1 |
| Mountains | 2d6+1 |
| Swamp | 2d6+1 |
Each day of searching, allow one encounter throw to find a lair.