We are delighted that Cowlishaw and Hacker find our review of Rapoport's rule[1xGaston, K.J., Blackburn, T.M., and Spicer, J.I. Trends Ecol. Evol. 1998; 13: 70–74Abstract | Full Text | Full Text PDF | PubMed | Scopus (200)See all References][1]worthy of extension. In response, we would make two points.First, we agree that if one excludes analyses that do not account for problems of spatial and phylogenetic non-independence and analyses based on geographic range area, rather than latitudinal extent, then those that remain support Rapoport's rule. We also wholeheartedly support the argument, implicit in Cowlishaw and Hacker's observations, that it is desirable to perform statistically rigorous analyses. However, the fact that the most rigorous analyses conducted support Rapoport's rule should not be interpreted either as evidence that the rule may be a general one or as a basis for dismissing conclusions based on other less rigorous analyses. The effect of using geographic range area is, to some extent, ameliorated by the general high correlation between latitudinal and longitudinal extents[2xLutz, F.E. Am. Mus. Novitates. 1922; 5: 335–366See all References, 3xBrown, J.H. and Maurer, B.A. Science. 1989; 243: 1145–1150CrossRef | PubMedSee all References, 4xSee all References].Moreover, failing to account for spatial and phylogenetic non-independence actually biases analyses towards finding evidence for Rapoport's rule when it does not exist; both artificially inflate degrees of freedom, leading to a likelihood of spurious statistical significance. Thus, the observation that a high proportion of studies performed in this way do not support the rule is a conservative basis for rejecting the notion that it is a general one and, therefore, worthy of being termed a `rule' (with the significant caveat that studies of Rapoport's rule are highly biased with respect to taxon and biogeographic region). This seems to us a more compelling argument for rejecting the generality of Rapoport's rule than for accepting it on the basis of the three studies that Cowlishaw and Hacker find suitable.Second, and on a more general note (notwithstanding our comments above), we urge circumspection in the pursuit of ever more statistical rigour in analyses. The history of the study of Rapoport's rule has been one of increasing analytical complexity. Indeed, we note that none of the three studies that Cowlishaw and Hacker regard as acceptable, including their own[5xCowlishaw, G. and Hacker, J.E. Am. Nat. 1997; 150: 505–512CrossRef | PubMedSee all References][5](published after completion of our review), has accounted for the recently highlighted problems of boundedness[6xColwell, R.K. and Hurtt, G.C. Am. Nat. 1994; 144: 570–595CrossRef | Scopus (356)See all References][6], which may be subtle and need not necessitate that ranges abut continental limits[7xLyons, S.K. and Willig, M.R. Oikos. 1997; 79: 568–580CrossRefSee all References][7]. Although we applaud increased rigour, particularly because it can reveal the existence of artefactual patterns[8xBlackburn, T.M. and Gaston, K.J. Am. Nat. 1998; 151: 68–83CrossRef | PubMed | Scopus (124)See all References][8], we do worry that the continual pursuit of the `perfect' analysis may have two undesirable side effects.First, this pursuit may be given greater emphasis than is warranted by the general body of evidence for or against the existence of a particular macroecological pattern. To take one example, no empirical analysis of latitudinal gradients in species richness, of which we are aware, has ever accounted for the non-independence of data points. Technically, all published analyses are, therefore, statistically flawed and, as such, invalidated. However, no one would seriously doubt that the species richness of the vast majority of major taxonomic groups is higher towards lower latitudes.Second, this pursuit might result in enormous variation in how macroecological patterns are tested and reported, seriously constraining, and sometimes precluding, any possibilities for comparison and contrast of the results of different studies. In this vein, we would propose that, alongside more-rigorous analyses, some standard plots and statistics for macroecological analyses should be established and routinely reported.
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