A mechanism of subsidence for the Williston basin is proposed and test
ed. The mechanism combines cooling and thermal contraction of the lith
osphere with a phase transformation in the lower crust. The cooling an
d the phase boundary movement following a sudden change in the thermal
boundary condition at the base of the lithosphere are calculated; iso
static adjustments and sea-level variations are included to determine
subsidence and sediment accumulation at the basin's centre, which are
compared with the data. The subsidence record could not be explained b
y temperature boundary conditions. The calculations show that: (1) the
heat-flow boundary condition explains the long duration (more than 35
0 Myrs) of subsidence of the Williston basin and (2) the delay of the
phase-change subsidence (about 40 Myrs) explains an acceleration of su
bsidence in the early stages of the basin's evolution. When isostatic
adjustments and the effect of sea-level variations are included, the c
alculated sediment accumulation history fits well the sediment record
of the Williston basin.