According to the April 2012 Brooklyn Rental Market Report by MNS, prices have increased year over year for studios, one bedroooms, and two bedrooms, and Dumbo is the most expensive across the board (Bay Ridge was the least expensive):

In Dumbo, studios were $2,656, one bedrooms $3,463, and two bedrooms $4,934. Comare that to April 2012 mean Brooklyn rental prices for studios ($1,749/mo), one bedroom ($2,328), and two bedrooms ($3,015).

Here are the Dumbo price trends over 13 months for studios, one bedrooms, and two bedrooms:

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The Brooklyn Rental Market ReportTM is based on a cross-section of data from available listings and priced under $10,000, with ultra-luxury property omitted to obtain a true monthly rental average. Our data is aggregated from the MNS proprietary database and sampled from a specific mid-month point to record current rental rates offered by landlords during that particular month. It is then combined with information from the REBNY Real Estate Listings Source (RLS), OnLine Residential (OLR.com) and R.O.L.E.X. (Real Plus).

The Brooklyn Rental Market Report ™ is published by MNS. The full Brooklyn Rental Market Report ™ by neighborhood (PDF(1.1MB)).