Stop using the power-law species-area relationship (and what to do instead)

The species-area relationship is viewed as one of the few "laws of ecology" and has been widely used to infer species richness at large scales and extinction as habitat shrinks. In this talk, I'll argue that the commonly used power-law species-area relationship is not well-supported empirically and may provide misleading estimates when used for upscaling diversity data. In its place, I'll offer both a hand-waving and a mathematical alternative.