Procedures introduced here make it possible, first, to show that background (piecemeal) extinction is recorded throughout geologic stages and substages (not all extinction has occurred suddenly at the ends of such intervals); second, to separate out background extinction from mass extinction for a major crisis in earth history; and third, to correct for clustering of extinctions when using the rarefaction method to estimate the percentage of species lost in a mass extinction. Also presented here is a method for estimating the magnitude of the Signor-Lipps effect, which is the incorrect assignment of extinctions that occurred during a crisis to an interval preceding the crisis because of the incompleteness of the fossil record. Estimates for the magnitudes of mass extinctions presented here are in most cases lower than those previously published. They indicate that only ∼81% of marine species died out in the great terminal Permian crisis, whereas levels of 90-96% have frequently been quoted in the literature. Calculations of the latter numbers were incorrectly based on combined data for the Middle and Late Permian mass extinctions. About 90 orders and more than 220 families of marine animals survived the terminal Permian crisis, and they embodied an enormous amount of morphological, physiological, and ecological diversity. Life did not nearly disappear at the end of the Permian, as has often been claimed. mass extinction | paleontology | biodiversity A global mass extinction can be defined qualitatively as an event in which an unusually large percentage of higher taxa in several biological groups died out globally within a brief interval of geologic time. There is no satisfactory way to provide a universally applicable quantitative definition of a mass extinction. Major marine mass extinctions have been associated with relatively abrupt excursions of the stable carbon isotope ratio in seawater, as reflected in fossil skeletal material. Contemporaneous oxygen isotope excursions that have paralleled the carbon isotope excursions, as well as other forms of evidence, connect the biotic crises to global climate change and support other evidence that the crises were relatively sudden events (1). Most major pulses of extinction occurred at or near the ends of formally recognized geologic intervals. In fact, the resulting biotic transitions have led to the establishment of the boundaries between most geologic systems and many geologic stages. Any extinctions scattered within such an interval or within an interval not containing a mass extinction are known collectively as background extinction.Comparing models to empirical numbers, Foote (2) considered two extreme scenarios for extinctions in the marine realm: one in which all extinctions occurred in pulses, primarily at the ends of geologic ages (the intervals representing stages) and one in which they were spread throughout ages (see also ref.3). He found the pulsed model to be more strongly supported, which would imply that substantial backward smearing of extinctions ...