A second baby boom is under way in Virginia, according to the University of Virginia's Tayloe Murphy Institute.

"The baby boom echo of a similar boom after World War II has already begun statewide and is expected to peak around 1990," Dr. Julia H. Martin, research director of the institute's Population Studies Center, reported this week.

Martin cited U.S. Census Bureau statistics that show the number of elementary school pupils will increase from about 800,000 in 1980 to nearly 1 million by the end of the century.

Although the number of children will increase by the year 2000, they will make up a smaller percentage of the state's population, the researcher wrote in the study prepared for the Governor's Commission on Virginia's Future.

People over age 65 will be on the increase in Virginia and will amount to 12 percent of the population by the end of the century, Martin said, and this, in turn, will necessitate a shift in health care.

Another finding is that Virginia's population growth in the next two decades will be in its metropolitan areas, but in the metropolitan counties rather than in the cities.

The population growth will be largest in the Richmond area, northern Virginia, Tidewater, the Roanoke-Lynchburg area and around Charlottesville, she said.