Though the ice may be melting around the edges of the Greenland Icecap in recent years during the warm mode of the
AMO much as it did during the last warm phase in the 1930s to 1950s, snow and ice levels continue to rise in most of
the interior. Johannessen in 2005 estimated an annual net increase of ice by 2 inches a year.
(Left: Recent Ice-Sheet Growth in the Interior of Greenland, Ola M. Johannessen, Kirill Khvorostovsky, Martin W. Miles, Leonid P. Bobylev, Science Express on 20 October 2005 Science 11 November 2005: Vol. 310. no. 5750, pp. 1013 ? 1016, DOI: 10.1126/science.1115356)
The first image below is from 1972.