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Taylor's power law is one of the mostly widely known empirical patterns inecology discovered in the 20th century. It states that the variance of speciespopulation density scales as a power-law function of the mean populationdensity. Taylor's power law was named after the British ecologist Lionel RoyTaylor. During the past half-century, Taylor's power law was confirmed forthousands of biological species and even for non-biological quantities.Numerous theories and models have been proposed to explain the mechanisms ofTaylor's power law. However an understanding of the historical origin of thisubiquitous scaling pattern is lacking. This work reviews two research aspectsthat are fundamental to the discovery of Taylor's power law and provides anoutlook of its future studies.

Taylor's power law: before and after 50 years of scientific scrutiny