Researchers at the University of Sheffield in collaboration with the University of Bath and Veszprem (Hungary) found that role reversal was caused by an imbalance in the numbers of males relative to females.
Charles Darwin noted in 1871 that in most animals, it is the females that spend most time looking after the young, while males focus on competing with each other for females.
Evolutionary biologists argued that this was due to the female investing significant amounts of energy in producing eggs, and in the case of mammals, giving birth, and so it is in their interests to ensure their offspring's survival by caring for them.
"Sex-role reversal has been a formidable puzzle for evolutionary biologists ever since Darwin. Our study is the first supporting the idea that sex ratio plays an important part in the evolution of role reversal," Dr Andras Liker, Marie Curie Research Fellow from the University of Sheffield's Department of Animal and Plant Sciences, said.
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The researchers studied birds where the sex roles were reversed and found there was a higher ratio of males to females in the population, compared with the usual situation where females care for offspring.
"Mathematical models suggest that these animals' behaviour is strongly influenced by their social environment, and our findings support these predictions," Szekely said in a statement.
"When there are lots of males in a population, it's harder to find females, so it benefits males to stay with their mate and look after the young. However, the females often take advantage of this and leave the male holding the baby, whilst they go and find another mate," Szekely said.
The role reversal isn't usually seen in mammals: since males can't produce milk it's not as easy for them to take over the parenting completely. However changes in sex role behaviour have been observed in humans when the sex ratio is imbalanced, researchers said.
The study was published in the journal Nature Communications.