n. A high-rise building used for growing crops. [Blend of farm and skyscraper.]

Example Citations:
More radical still is an idea that has environmentally minded architects worldwide in a tizz. "Farmscrapers" may become the solution to a bulging population versus diminishing land. Clever hydro- and aeroponic systems mean very little water will be required to grow crops high up in the sky, saving valuable space and resources.
—Kate Burt, "Tomorrow's world: The gizmos about to change the way we live," The Independent, October 25, 2009

Other growth areas include vertical farming, in which lack of space means crops are cultivated in urban high-rises or 'farmscrapers'.
—Fiona MacCrae, 'Aim for the stars and train to be a space architect," Daily mail, January 14, 2010

Earliest Citation:
Dr. Dickson Despommier, a professor of environmental sciences and microbiology at Columbia University, believes that "vertical farm" skyscrapers could help feed cities, and fight global warming....And the price tag? Roughly $200 million per farm for startup costs, and the idea is for each 'farmscraper' to be self-sustainable.
—Pablo Defendini, "Urban Farming. It's the wave of the future...," The New Sleekness, April 4, 2007

Farmscrapers are also called vertical farms and skyfarms. There's a chance this word is much older than the earliest citation suggests. If you search for "farmscraper" on Google Books, you get this tidbit in the results:

"Farm-Scraper" Our future farmers will have ... 'farm-scrapers' instead of sky-scrapers in the middle of population centers.
Weekly Digest Vols 72-73, "American Institute of Food Distribution, 1966

However, when you search the book itself for the term "farm-scraper" (or "farm-scrapers"), the snippet that appears doesn't show the above text (maddening!).

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