The terrestrial fossil record shows that the exponential rise in biodi
versity since the Precambrian period has been punctuated by large exti
nctions, at intervals of 40 to 140 Myr. These mass extinctions represe
nt extremes over a background of smaller events and the natural proces
s of species extinction. We point out that the non-terrestrial phenome
na proposed to explain these events, such as boloidal impacts (a candi
date for the end-Cretaceous extinction) and nearby supernovae, are col
lectively far more effective during the solar system's traversal of sp
iral arms. Using the best available data on the location and kinematic
s of the Galactic spiral structure (including distance scale and kinem
atic uncertainties), we present evidence that arm crossings provide a
viable explanation for the timing of the large extinctions. (C) 1998 E
lsevier Science B.V.