Case the loss of a few chickens is worth shooting a dog over...go up to the owener and demand he pays for the hurt or killed chickens or call the cops. What are they, $7/each now?
If its my chickens doggie is DRT .... no questions asked.
Unless I miss my guess, dog owner gets the bill if pooch decides to run a herd of cows on private land and there is enough calves lost or stillborn to be able to prove it from that incident.
Beef is running $1.35-$1.50 for Black Angus and you may not get the option of paying birth weight, but whatever the farmer happens to ship at, like 400 lbs or 750 minus whatever feed they would've needed.
500 lbs X $1.40/lbs = $700 per calf, a dog running a herd on a quarter, generally 40 head around here could cause a 50% loss if the cows get sweated up. 20 X $700 = $14000
$14000, is what you would be liable for if it were proven. Not really likely to prove it, but things would likely get chilly around the neighbourhood and in town. THere is a 0% chance you would get access to anybodies land to hunt as well, the following hunting season. Rural folks get really cranky about that stuff.
I know, its all bad at this point, training is far better.
You'd likely be better off to shoot the dog yourself if facing this(proven already) since that would most likely satisfy the cattle owner, along with a reasonable sum of money. Pay newborn calf prices not finished feeders etc. ABout $200-$250 each. You'd still be out $4-5000 and your pet. In the event it went to court and you were found liable, I'm not sure if the court can order a pet put down for damage to livestock or not.
Training is far superior to any of this, obviously.