The research team also found that those animals born under stress declined much more rapidly in older age, decades later.
"Poor early life conditions have been linked to many disease outcomes in humans, but is unknown whether stress in early life also speeds up ageing rates in long-lived species," said lead author Hannah Mumby, from University of Sheffield's Department of Animal and Plant Sciences.
"We found that the decline in reproduction with age is much steeper in the elephants born at the poorer time of year," Mumby said.
The researchers made the discovery after being given access to a unique record of the lives and deaths of more than 10,000 elephants from Myanmar spanning three generations and almost a century.
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The elephants are semi-captive animals working in the timber industry by pushing and dragging logs.
The researchers used measures of a hormone associated with stress (glucocorticoid metabolites) to determine which months represented stressful condition for the elephants.
The study showed that the months from June to August, which is monsoon season and typically when elephants work hard dragging logs to rivers, are the most challenging for the animals.
"Fertility and reproductive rate decline with age for all of us, but for some faster than others - and this variation was how we measured differences in ageing," said senior author Virpi Lummaa, from University of Sheffield.
The results highlight the potential for maternal stress to be associated with offspring ageing.
They could also have important implications for Asian elephant populations both in western zoos, where they may experience stressful conditions associated with captivity, and in range countries where both captive and wild elephants may experience seasonal exposure to stress.
The study was published in the journal Scientific Reports.