In the past, when older elephants were killed, he said, the younger ones went on to develop "aberrant behaviour in a number of reserves where there wasn't the total family structure", he said.
Not having the large bulls also led to problems in the interaction between rhinos and elephants.
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South Africa lifts its culling ban
South African National Parks (SANParks), which manages the country's parks, and called for the government to allow the culling, said that while the moratorium would be lifted there were no immediate plans to implement a cull.
Other preferred options include the translocation of elephants and contraception.
Mr Neary says, however, that these are costly solutions.
"The sterilisation of an elephant is not easy as the male's testes are internal," he told the BBC's World Today programme.
He said a vasectomy operation in the bush can take up to four hours and the animal has be supported in a standing position the whole time.
For translocation, he said, whole herds would have to be moved vast distances in aeroplane.
"In conservation funding is tremendously hard to get hold of... [and] the fact remains that we do have a shrinking landscape and an increasing elephant herd."
Animal rights campaigners have written to the South African government demanding that culling be removed from the guidelines for elephant management.
They say there is no scientific evidence for culling and the lifting of the moratorium has a commercial dimension.
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