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The results of the study, a collaboration between scientists from the World Health Organization in Geneva and the Guttmacher Institute in New York, a reproductive rights group, are being published Friday in the journal Lancet.

The wealth of information that comes out of the study provides some striking lessons, the researchers said. In Uganda, where abortion is illegal and sex education programs focus only on abstinence, the estimated abortion rate was 54 per 1,000 women in 2003, more than twice the rate in the United States, 21 per 1,000 in that year. The lowest rate, 12 per 1,000, was in Western Europe, with legal abortion and widely available contraception.

The Bush administration’s multibillion-dollar campaign against H.I.V./AIDS in Africa has directed money to programs that promote abstinence before marriage, and to condoms only as a last resort. It has prohibited the use of American money to support overseas family planning groups that provide abortions or promote abortion as a method of family planning.