Globally, more children are still underweight rather than obese although the researchers think that will change by 2022 if trends continue.
The scientists in the UK and at the World Health Organization led an analysis of data from more than 2,400 studies that tracked the height and weight of about 32 million children from 5 to 19 years old.
They created models to estimate trends in body mass index, a measurement based on height and weight, from 1975 to 2016.
"This shows that something can be done about obesity, but it might be an exaggeration to call this 'good news,'" said Majid Ezzati of Imperial College London, one of the study authors.
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"These are still pretty high levels and we don't want it to stay there, we want it to go down."
Ezzati and colleagues found that in parts of Asia, north Africa and the Middle East, obesity rates are rising.
Last year, the heaviest children and adolescents were in Nauru, the Cook Islands and Palau -- tiny islands in Micronesia and the South Pacific Ocean.
At the other end of the spectrum, the countries with the most underweight children were India, Pakistan, Bangladesh and Afghanistan. In South Asia, approximately 20 per cent of girls and 28 per cent of boys were either moderately or severely underweight, which makes them more vulnerable to infectious diseases, and in the case of teen girls, more likely to have pregnancy complications.
Some experts said countries dealing with obesity should introduce or increase taxes on unhealthy foods and drinks, such as the taxes implemented in Mexico, Britain, South Africa and elsewhere.
"If you're not doing anything about obesity, you are just increasing the problems that come with it later, like diabetes," said Tam Fry, chairman of Britain's National Obesity Forum.
Ezzati said countries need to make healthy foods more affordable, saying that junk foods are often the cheapest option.
"Right now it's very hard to eat healthy if you're poor," he said.
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