Yefeng Yang, Helmut Hillebrand, Malgorzata Lagisz, Ian Cleasby, Shinichi Nakagawa 

Field studies are essential to reliably quantify ecological responses to global change because they are exposed to realistic climate manipulations. Yet such studies are limited in replicates, resulting in less power and, therefore, unreliable effect estimates. Further, while manipulative field experiments are assumed to be more powerful than non-manipulative observations, it has rarely been scrutinized using extensive data. Here, using 3,847 field experiments that were designed to estimate the effect of environmental stressors on ecosystems, we systematically quantified their statistical power and magnitude (Type M) and sign (Type S) errors. Our investigations focused upon the reliability of field experiments to assess the effect of stressors on both ecosystem’s response magnitude and variability. When controlling for publication bias, single experiments were underpowered to detect response magnitude (median power: 18% – 38% depending on mean difference metrics). Single experiments also had much lower power to detect response variability (6% – 12% depending on variance difference metrics) than response magnitude. Such underpowered studies could exaggerate estimates of response magnitude by 2 – 3 times (Type M errors) and variability by 4 – 10 times. Type S errors were comparatively rare. These observations indicate that low power, coupled with publication bias, inflates the estimates of anthropogenic impacts. Importantly, we found that meta-analyses largely mitigated the issues of low power and exaggerated effect size estimates. Rather surprisingly, manipulative experiments and non-manipulative observations had very similar results in terms of their power, Type M and S errors. Therefore, the previous assumption about the superiority of manipulative experiments in terms of power is overstated. These results call for highly powered field studies to reliably inform theory building and policymaking, via more collaboration and team science, and large-scale ecosystem facilities. Future studies also require transparent reporting and open science practices to approach reproducible and reliable empirical work and evidence synthesis.