Here's a good paper I came across, " Why Do Good Hunters Have Higher Reproductive Success?" This paper reviews the research showing that the best male hunters in hunter-gatherers societies usually have better outcomes related to reproduction, such as more mates and more surviving children.
This paper looks at various hypotheses as to why this happens. Higher reproductive success may be due to the higher social standing of successful hunters, or it may be due to their superior physical abilities, and hence superior genetics. The paper discusses these and other theories and attempts to test their validity.