Hi!
Neutering only takes the ability for making babies away; it is doesn't change personality, social interaction or mating behaviour. Neutered boars can still produce a room filling stinking cloud of testosterone in their pee when meeting sows, as I can amply testify!
A neutered and a full boar can live together just the same; in fact, my boar pairs have both started out that way before I had the new arrival neutered for safety reasons (they are living in a room with over 20 sows and I'd rather not risk babies from any escapees or unplanned encounters!)
However, this also means that the usual rules apply - after trios, boar quartets are the most instable combination unless you look at older boars over 4-5 years whose testosterone output has mostly fizzled out or at boar quartets that include one or more disabled and carer companion boars with very different dynamics. The younger your boars are, the more likely the risk of fall-outs and failure when introducing new boars; at the worst you can end with four singles although the most likely outcome in our experience is one pair and two singles. Teenage boars between 4-14 months of age are the most at risk due to their hormone spikes.
If you can, please consider keeping your new boy as a live-alongside option or creating two pairs.
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