Urban Ark and its groups promote the use of humane traps.
Introduced predators such as possums, rats, stoats and hedgehogs don’t belong here, but it is important to remove them in a humane way that avoids or minimises pain, suffering or distress – both to target and non-target animals.
Predator Free NZ have an excellent section on Welfare Performance of Animal Traps.
Bionet has a list of traps that have met trap testing guidelines from the National Animal Welfare Advisory Committee (NAWAC).