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AimTo attack a widespread myth. LocationWorld-wide. MethodsSimple mathematical logical and empirical examples. ResultsAs both species and area are finite and non-negative, the species–area relationship is limited at both ends. The log species–log area relationship is normally effectively linear on scales from about 1 ha to 107 km2. There are no asymptotes. At the intercontinental scale it may get steeper; at small scales it may in different cases get steeper or shallower or maintain its slope. Main conclusionThe species–area relationship does not have an asymptote. [ABSTRACT FROM AUTHOR]