I just did some research, and in 2003, the first year I could find rape statistics for Sweden, Sweden was ranked 7th in the world with 250/1,000,000.
In the last year I could find in 2010, Sweden had been ranked 2nd at 630/1,000,000.
That is more than doubled.
Two other countries, USA and Germany, both generally decreased a bit in that time frame.
Of course, Wikipedia has to state this: "...A frequently cited source when comparing Swedish rape statistics internationally is the regularly published report by the United Nations Office on Drugs and Crime (UNODC), based on official statistics provided by each member state. In 2012, Sweden had 66 cases of reported rapes per 100,000 population, according to the Swedish National Council for Crime Prevention (Brå). This was unequivocally the biggest number reported to the UNODC in 2012. However, widely differing legal systems, offence definitions, terminological variations, recording practices and statistical conventions makes any cross-national comparison on rape statistics difficult, which is why the UNODC itself caution against using their figures. It should also be noted that many countries do not report any rape statistics at all to the UNODC, and some report very low numbers, despite studies that indicate otherwise. The Swedish police record each instance of sexual violence in every case separately, leading to an inflated number of cases compared to other countries. Sweden also has a comparatively wide definition of rape. This means that more sexual crimes are registered as rape than in most other countries. For example, in 2005 Sweden reformed its sex crime legislation and made the legal definition of rape much wider, which led to a marked increase in reports..."
Well...one reads that and can only come to the conclusion that to liberals and Swedes, rape is a highly malleable thing, and can mean whatever one wants it to mean.
Furthermore, just looking at their own statistics (if Wikipedia can even be trusted) there are pits and valleys over the years, but in the late 1990’s after it dropped as low as 40K per year coming in (with almost the same number leaving each year) it spiked and has been going up ever since, stopping in 2007 at around 100K a year while 40K are leaving each year.