¿Can you believe in an old earth and a global flood?

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If there was an old earth and a global flood then we would expect to see a bottleneck in the number of species

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I don't think "bottleneck" is the right word to describe such a catastrophe. I think most people would agree to use something like "global extinction" or "mass extinction" to describe it.Bottleneck means the allele frequency after an event is very different from the allele frequency before the event.

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And on top of that, I could use bottleneck to describe all kinds of things, for example, if I was constipated, I say there was a bottleneck in the number of shits I take in a week.

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Couldn't you be anymore graphic?