When chestnut x black = brown, the following are things you know:
1 - the black is Eeaa - Ee because he sent his e to make chestnut, and aa because otherwise he’d be bay or brown
2 - chestnut is ee, and then either Ata, or AAt, or AtAt (without knowing the colors of the chestnut’s parents). Why? ee is because she’s chestnut. For this result of brown, the chestnut had to have it, because that’s where the brown At came from since it couldn’t have come from a black parent. So that rules out the other combinations of AA or Aa.
Based on what we do know about brown, it is another form of Agouti, just like we know Bay is, just like we theorize wild bay is.
Brown is not caused by the E/extension gene. Extension is what makes a horse black-based or red-based. Agouti is what then restricts black pigment to some degree. In general, brown is the least restrictive, then bay, then wild bay being the most restrictive (which is why the leg points are low, and even the mane and tail tend to be diluted a bit). And the Ata brown horse is darker/less black restricted than the AtAt horse. Nearly all seal brown/black-bay horses are Ata by current testing. Nearly all the tested AtAt horses are lighter brown, often being difficult to distinguish from bay.
But the lighter end of Ata horses can be very similar to the darker end of AtAt horses.
When it comes to chestnuts, you do not know the Agouti status in most cases without testing or without seeing enough offspring. In some cases you can know it for certain:
- black x black = chestnut means the chestnut is eeaa
- brown x brown = chestnut means either Ata, AtAt, or aa - no bay A in the picture because brown horses do not have the Bay form, as that is dominant and the horse would be bay, not brown.