However, early iron supplementation seems to provide some protection, researchers said.
The study consisted of 285 children who were born with a marginally low birth weight, 22.5 kilogrammes, and a control group of 95 children born with a normal birth weight.
Data on weight, height, body composition, blood pressure, and blood tests for blood sugar, insulin and blood lipids were collected.
In addition, the children's IQ, and various other abilities were tested. Among the children born with low birth weight, a clear majority only have a marginally low weight, but they are rarely prioritized in studies.
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"We may have identified a way to partially protect against cardiovascular diseases, even if more research is needed, said Starnberg.
The study showed that children born with only a little too low birth weight have more cognitive difficulties, such as lower verbal IQ and poorer attention and coordination abilities in comparison to children born with normal birth weight.
"The below average test results may lead to more school difficulties and behavioural problems to a larger extent than for children born with normal birth weight," Starnberg said.
Children born as marginally underweight have an increased risk of still being underweight at the age of seven, the researchers said.
Early signs of a disrupted insulin and blood sugar balance were also found, a well-known sign for increased risk of later developing diabetes and cardiovascular diseases.
Infants who received iron supplementation in early childhood had lower blood pressure, which is a previously unknown relationship.