The supercooled and stretched regions of the phase diagram of simulate
d liquid water are investigated by calculating the equation of state o
f the ST2 and TIP4P pair-potentials. We find that simulated water does
not display a re-entrant spinodal and that the projection of the dens
ity maximum line in the plane of pressure and temperature becomes posi
tively sloped on stretching. The well-known anomalous behavior of supe
rcooled water is tentatively associated with the existence of an inacc
essible critical point. Evidence is presented that suggests the associ
ation of this new critical point with the transition between low densi
ty and high density amorphous solid water. We show how the observed tr
ansformation behavior of the two forms of amorphous solid water can be
explained in terms of a first order phase transition, via a considera
tion of the limits of metastability associated with this kind of trans
ition, and support this interpretation with simulations of the amorpho
us solid. We therefore propose a phase diagram which accounts for the
behavior of both liquid and amorphous solid water.