Controlling the Proportion of Falsely Rejected Hypotheses when Conducting Multiple Tests with Climatological Data

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Uncertainty and Inference for Verification Measures (2007, methodology): “Finally, Ventura et al. (2004) note that most procedures are conservative, in that the quoted controlled level of the FDR is an upper bound, and it may not be a very strong bound.”
“The Stippling Shows Statistically Significant Grid Points”: How Research Results are Routinely Overstated and Overinterpreted, and What to Do about It (2016, methodology): “Controlling the FDR (Benjamini and Hochberg 1995, Ventura et al. 2004, Wilks 2006) has many favorable attributes, including only modest sensitivity to spatial autocorrelation in the underlying data.”
A comparison study of extreme precipitation from six different regional climate models via spatial hierarchical modeling (2010, background): “These issues are non-trivial, and we do not attempt to address them here, for reference please see Ventura et al. (2004).”