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...the neighbourhoods surrounding downtown (Nanaimo) are very dense, because a lot of the housing is rental and there are many people living in illegal suites.
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As far as I can tell by looking at the census tract data, the densest census tract in Nanaimo contains 2,307 people per square km. The map below shows the numbers for the various census tracts in Victoria proper and Oak Bay (population = red, density per square km = blue). The densest census tract in Victoria contains 7,258 people per square km.
Source:
http://geodepot.statcan.ca/GeoSearch2006/