Correction for Ghan et al., Challenges in constraining anthropogenic aerosol effects on cloud radiative forcing using present-day spatiotemporal variability

COLLOQUIUM Correction for “Challenges in constraining anthropogenic aerosol effects on cloud radiative forcing using present-day spatiotemporal variability,” by Steven Ghan, Minghuai Wang, Shipeng Zhang, Sylvaine Ferrachat, Andrew Gettelman, Jan Griesfeller, Zak Kipling, Ulrike Lohmann, Hugh Morrison, David Neubauer, Daniel G. Partridge, Philip Stier, Toshihiko Takemura, Hailong Wang, and Kai Zhang, which appeared in issue 21, May 24, 2016, of Proc Natl Acad Sci USA (113:5804–5811; first published February 26, 2016; 10.1073/pnas.1514036113).

The authors note the order of affiliations for Minghuai Wang appeared incorrectly: this author’s first affiliation should be listed as Institute for Climate and Global Change Research, Nanjing University. The corrected author and affiliation lines appear below. The online version has been corrected.

The authors also note that, due to a printer’s error, Eq. 3 appeared incorrectly. The corrected equation appears below. The online version has been corrected.

Steven Ghan^a, Minghuai Wang^b,c,d,a, Shipeng Zhang^b,c,d, Sylvaine Ferrachat^e, Andrew Gettelman^f, Jan Griesfeller^g, Zak Kipling^h, Ulrike Lohmann^e, Hugh Morrison^f, David Neubauer^e, Daniel G. Partridge^h,i,j, Philip Stier^h, Toshihiko Takemura^k, Hailong Wang^a, and Kai Zhang^a

^aAtmospheric Sciences and Global Change Division, Pacific Northwest National Laboratory, Richland, WA 99352; ^bInstitute for Climate and Global Change Research, Nanjing University, 210023 Nanjing, China; ^cSchool of Atmospheric Sciences, Nanjing University, 210023 Nanjing, China; ^dCollaborative Innovation Center of Climate Change, 210023 Nanjing, China; ^eInstitute for Atmospheric and Climate Science, ETH Zurich, 8092 Zurich, Switzerland; ^fNational Center for Atmospheric Research, Boulder, CO 80305; ^gInformation Technology Division, Norwegian Meteorological Institute, 0313 Oslo, Norway; ^hAtmospheric, Oceanic and Planetary Physics, Department of Physics, University of Oxford, Oxford OX13PU, United Kingdom; ⁱDepartment of Environmental Science and Analytical Chemistry, Stockholm University, SE-106 91 Stockholm, Sweden; ^jBert Bolin Centre for Climate Research, Stockholm University, SE-106 91 Stockholm, Sweden; and ^kResearch Institute for Applied Mechanics, Kyushu University, Fukuoka 816-8580, Japan

$$\frac{d\ln {\overline{R}}_c}{d\ln {\overline{N}}_d}=\frac{d\ln {\overline{R}}_c}{d\ln \overline{\tau }}\frac{d\ln \overline{\tau }}{d\ln {\overline{N}}_d}$$