Geese Mating

I found two sources on the net one was a university study the other was a "we can all learn to live in understanding of each other" sight. Both said yes unless there mate is killed then they find a new one. One also said that if one goose is injured when flying in formation two others will drop out of formation and stay with it till it dies or can rejoin a flight of geese. That one seems like bull I have not see that when I have shot a goose and I have come across an injured goose by itself on a pond before.