ican711nm wrote:I don't think populations evolve independently of the evolution of their members.
Correct, but neither do individuals evolve independently of their populations.
Only rarely, if ever, would a gene change in an individual make it distinctly different without damaging its core design. What's far more likely is that a seemingly innocuous trait which was distributed within the population would begin to benefit reproduction (such as long haired mammoths) due to environmental change (like an ice age).
In this way, variation can occur all the time without having any direct benefit (or detriment) at all. It's only later, as populations press into different environments, or as the environment presses into them, that whatever variations match the environment will begin to accumulate in the population.