For the most obese children, the proportion rises to 55-60 per cent, researchers said.
The study, led by the University of Sussex in the UK, used data on the heights and weights of 100,000 children and their parents spanning six countries worldwide: the UK, US, China, Indonesia, Spain and Mexico.
The researchers found that the intergenerational transmission of body-mass index (BMI) is almost constant at around 0.2 per parent - that is each child's BMI on average is around 20 per cent due to the mother and 20 per cent due to the father.
"Our evidence comes from trawling data from across the world with very diverse patterns of nutrition and obesity - from one of the most obese populations - the US - to two of the least obese countries in the world - China and Indonesia.
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"This gives an important and rare insight into how obesity is transmitted across generations in both developed and developing countries," said Dolton.
The study also shows how the effect of parents' BMI on their children's BMI depends on what the BMI of the child is. Consistently, across all populations studied, they found the 'parental effect' to be lowest for the thinnest children and highest for the most obese children.
For the thinnest child their BMI is 10 per cent due to their mother and 10 per cent due to their father. For the fattest child this transmission is closer to 30 per cent due to each parent.
The findings were published in the journal Economics and Human Biology.
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