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The Declaration is based primarily on the paper:
Rockström, J et al. Planetary boundaries: Exploring the safe operating
space for humanity. Ecology and
Society 14, 32 (2009). Available online at
www.ecologyandsociety.org/vol14/iss2/art32.
A shorter text on the same theme appeared in Nature,
Rockström, J., W. Steffen, K. Noone, .. Persson, S.F. Chapin III, E.F.
Lambin, T.M. Lenton, M. Scheffer, et al. 2009. A safe operating space
for humanity. Nature 461: 472.475.
It is commented on the Nature site.
A later paper, finding that the planetary boundary for
eutrophication of freshwater by phosphorus has been crossed already,
is
Carpenter, S. R. & Bennett, E. M. Reconsideration of the planetary
boundary for phosphorus. Environmental Research Letters
6, 014009 (2011).
Available on the IOPscience site as a 0.5 MB pdf
In 2015, an update on the science of planetary boundaries appeared in Science. For more information, see the topics at stockholmresilience.org and its another page