(CNN) Your stamina -- or the time it takes for you to reach peak exhaustion during exercise -- can be tied to your dementia risk, and a new study reveals how.

The study, published Wednesday in the medical journal Neurology , found that women with high cardiovascular fitness, or high stamina, had an 88% lower risk of dementia than women who were moderately fit.

"I was not surprised that there was an association, but I was surprised that it was such a strong association between the group with highest fitness and decreased dementia risk," said Helena Hörder, a professor in the Department of Psychiatry and Neurochemistry at the University of Gothenburg in Sweden, who was first author on the study.

Dementia is the name for a group of symptoms caused by disorders that affect the brain , often leading to memory loss or other problems with brain function. Alzheimer's disease , an irreversible and progressive brain disease, is the most common type of dementia.

About 5.4 million people in the United States are estimated to be living with Alzheimer's disease , and it is the sixth leading cause of death among all adults, according to the US Centers for Disease Control and Prevention.

About 850,000 people in the United Kingdom have dementia as a whole, according to the UK's National Health Service

Worldwide, about 50 million people have dementia, and there are nearly 10 million new cases every year, according to the World Health Organization

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The new study involved 191 women in Sweden, 38 to 60 years old, who completed an ergometer cycling test to evaluate their cardiovascular fitness.

During the test, the women's workload was measured, based on how much weight or resistance could be added to the bicycle before they became fatigued.

"The level that you are so exhausted that you have to interrupt the test is a measure, in watts, of your work capacity," Hörder said. "Cardiovascular fitness or endurance can also be tested in a submaximal test where you don't push the person to maximal capacity."

Some of the women had to interrupt their cycling test at submaximal workload, before being pushed to maximal capacity, mainly due to changes seen on an electrocardiograph or due to high blood pressure.

Based on their crude peak workload, the women were separated into three groups: Fifty-nine were in the "low fitness" group, 92 were "medium fitness," and 40 were "high fitness."

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Those cycling tests were conducted in 1968, and the women were followed over a 44-year period until 2012. During that time, the researchers tracked the women's health, taking a close look at who was diagnosed with dementia and who was not.

The researchers found that among all of the women, 44 of them (or 23%) developed dementia from 1968 to 2012. Yet among those who interrupted their cycling test at submaximal workload, that percentage jumped to 45%.

"Many of those who interrupted the test at submax, very low watt level, probably had indications for a poor cardiovascular health status," Hörder said. "This might indicate that processes in the cardiovascular system might be ongoing many decades before onset of dementia diagnosis."

The researchers also found that the average age at dementia onset was 11 years older in the "high fitness" group than in the "medium fitness" group, and the most pronounced risk reduction was seen among those with the highest fitness: "High compared to medium fitness decreased the risk of dementia by 88%," the researchers wrote.

The study had some limitations, including that it involved a small sample of women in Sweden. More research is needed to determine whether similar findings would occur in a larger, more diverse group.

Also, the findings were not causal. So more research is also needed to determine whether improved fitness could have positive effects on dementia risk and when in life a high fitness level is most important.

For instance, other factors could have influenced the findings to help lower dementia risk, regardless of physical activity habits. Genetics or the cognitive stimulation of fitness could have influenced dementia risk, as well as the social aspects of fitness, as loneliness has been linked to dementia

"One of the missing pieces of a study like this -- and really the weakness in the literature to date -- is that the kinds of studies that we have mostly seen are association studies. These are studies of correlations, and they can't necessarily talk about causality," said Keith Fargo, director of scientific programs and outreach for the Alzheimer's Association in Chicago, who was not involved in the new study.

Still, he said, "the picture that is really emerging from the literature is a picture about the importance of fitness in midlife, not just old age, when it comes to protecting your brain health and preventing or delaying Alzheimer's disease and other dementias."

The new study adds to that overall growing body of evidence turning a spotlight on dementia and modifiable risk factors , such as poor cardiovascular health, a sedentary lifestyle, poor diet, smoking or excessive alcohol consumption

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So people could try to reduce their risk of cognitive decline by engaging in regular cardiovascular exercise , stopping smoking, eating a healthy diet, getting enough sleep, staying socially engaged, challenging their minds by reading or playing games and of course taking care of their heart health, according to the Alzheimer's Association

"There's a very strong connection between cardiovascular health -- so the health of your heart and your circulatory system -- and the health of your brain," Fargo said.

"The reason for that is because the brain actually is what we would call a highly vascularized organ, meaning that your brain has many blood vessels," he said. "The demand for nutrient-, oxygen-rich blood in the brain is very high compared to other organs, and so anything a person can do to increase their cardiovascular fitness level is likely to have positive benefits on brain health."