There are earlier examples of the word. The earliest example I can find is from 1844, in Asa Gray, "The Longevity of Trees," North American Review, Vol. 59, No. 124 (July 1844) 189-238, rpt. in Scientific Papers of Asa Gray, Vol. II: Essays; Biographical Sketches: 1841-1886 (Boston: Houghton, Mifflin and Company, 1889), pp. 71-124 (at 84):
[T]he age may be directly ascertained by counting the annual rings on a cross section of the trunk. The record is sometimes illegible or nearly so, but it is perfectly authentic; and when fairly deciphered, we may rely on its correctness. But the venerable trunks, whose ages we are most interested in determining, are rarely sound to the centre; and if they were, even the paramount interests of science would seldom excuse the arboricide.Related post: Ecology.