So the question is how can experiments be arranged to test the hypothesis? Is it really like winning the lottery? Or perhaps it is natural process we have yet to really apply science to? Consider a BOW which is deliberately constructed to prevent interconnection with other sources of water. Consider the BOW is fenced to prevent human introductions of fish. Construct the BOW so that its proximity to other BOWs with fish would facilitate birds in transporting viable fertile eggs. Then observe what happens.
It isn't what we don't know that gives us trouble, it's what we know that ain't so - Will Rogers