evolution - Is there a name for the evolutionary loss of vestigial structures?

Consider a biological structure which no longer benefits an organism, such as the eyes of an organism whose population now lives in total darkness. I can think of three reasons why such a structure might disappear:

0) Random changes to the structure over time wouldn't be corrected by selection favoring the functional version of the structure, leading to a wider variation where most versions of the structure no longer effectively function.

1) The resources the structure demands could be better spent on structures which are actually being used; e.g. human eyes require a lot of blood that could be used elsewhere.

2) Perhaps the existence of a very complex structure leads to biological problems which would no longer be an issue if the structure were not present; e.g. human breasts plus breast hormones frequently leads to cancer.

Are these three examples reasonable means by which a feature would disappear? Are there any other possible reasons?

Is there a general name for the phenomenon of evolutionary removal of vestigial features due to those features no longer being useful to a population?

Answer

This phenomenon can be (and has been) described as regressive evolution (the loss of a phenotypic trait). There are several reasons why this occurs:

The eye degeneration example you chose is a good one because it is well studied in cavefish (which evolved from sighted surface fish and have degenerate eyes). Normal eye development is under the control of the Pax6 transcription factor. Expression of another transcription factor, Shh, reduces Pax6 expression. Shh expression along the embryonic midline is responsible for splitting the eye field bilaterally. Overexpression of Shh in surface fish leads to eye degeneration and, indeed, it was found that cavefish have an expanded Shh expression pattern.

Cavefish have also undergone a behavioural shift to bottom feeding and have become less aggressive to focus more on finding food. As it happens, the expanded Shh expression also causes a widening of the jaw and amplification of taste buds, both of which aid in scooping and sampling the river bottom. Furthermore, increased Shh expression during brain development influences a decrease in aggressiveness and a shift to foraging behaviour.

This is an example of pleiotropic antagonism: positive selection for jaw enhancements and behavioural changes via expanded Shh expression, which increase fitness in cave environments, can explain why the eye degenerated.