Guns germs and steel question. How did the ability to use domesticated animals and plants differentiate the Polynesian societies?

The Transportation of taro root crops, and pigs, as well as domestic chickens and small dogs in some groups, when tied up or kept in a cage, can be carried on a large sail boat or canoes, while the people row the oars, in Hawaii all of these animals were brought to Hawaii by the Polynesian settlers, but New Zealand was too cold for the chickens to survive, the dogs and pigs I don't know