Sweden has turned that equation around with some success, as the fear of arrest has reduced the demand for paid sex:
the number of women in street prostitution in Stockholm has declined. Where 70 or 80 women used to sell sex outdoors, these days it's between five and 10 in winter, 25 in summer. A small number of women work on the streets of Malmö and Gothenburg but the Swedish figures are nothing like those for Denmark, where prostitution has been decriminalised. Denmark has just over half the population of Sweden but one study suggested there were more than 1,400 women selling sex on Danish streets.