The information that developing and maintaining a trait is costly to an organism (as it has to reproduce the DNA that encodes the trade with every cell division) can be found in many scripts and textbooks. An example being the ability of plants to survive temperatures below 0°.
A plant that does not need this ability but maintains it, would need more energy to synthesize the alleles where this information is stored. Energy that it cannot allocate in reproduction or growth. The principle is easy to understand and intuitive. On the other hand, again, I cannot seem to find any experiments on it in literature. Can anyone help?