capable of being supported or upheld, as by having its weight borne from below.
pertaining to a system that maintains its own viability by using techniques that allow for continual reuse: sustainable agriculture. Aquaculture is a sustainable alternative to overfishing.
able to be maintained or kept going, as an action or process: a sustainable negotiation between the two countries.
able to be confirmed or upheld: a sustainable decision.
able to be supported as with the basic necessities or sufficient funds: a sustainable life.

sustain + -able

sustainability, noun
nonsustainable, adjective
nonsustainability, noun
unsustainable, adjective Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
sustainable (səˈsteɪnəbəl)
1.  capable of being sustained
2.  (of economic development, energy sources, etc) capable of being maintained at a steady level without exhausting natural resources or causing severe ecological damage: sustainable development
3.  (of economic growth) non-inflationary

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Word Origin & History

1610s, "bearable," from sustain + -able. Attested from 1845 in the sense "defensible;" from 1965 with the meaning "capable of being continued at a certain level." Sustainable growth is recorded from 1965. Related: Sustainability (1972).
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
We don't know if that is sustainable or if the catch is increasing dramatically.
He says widespread hunting will be needed to reduce deer populations to a
  sustainable level.
Cities will get bigger, of course, and suburbs will grow but will need to
  become more environmentally sustainable.
The company is focused on sustainable travel practices and provides flexible
  hand-crafted itineraries and knowledgeable guides.
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