1 IPCC Climate Change 2013: The Physical Science Basis (eds Stocker, T. F. et al.) 29 (Cambridge Univ. Press, 2013).

2 Flato, G. et al. in Climate Change 2013: The Physical Science Basis (eds Stocker, T. F. et al.) 741–866 (IPCC, Cambridge Univ. Press, 2013).

3 Karl, T. R. et al. Possible artifacts of data biases in the recent global surface warming hiatus. Science 348, 1469–1472 (2015).

4 Cowtan, K. et al. Robust comparison of climate models with observations using blended land air and ocean sea surface temperatures. Geophys. Res. Lett. 42, 6526–6534 (2015).

5 Hausfather, Z. et al. Assessing recent warming using instrumentally homogeneous sea surface temperature records. Sci. Adv. 3, e1601207 (2017).

6 Lewandowsky, S., Risbey, J. S. & Oreskes, N. The “pause” in global warming: Turning a routine fluctuation into a problem for science. Bull. Am. Meteorol. Soc. 97, 723–733 (2016).

7 Cahill, N., Rahmstorf, S. & Parnell, A. C. Change points of global temperature. Environ. Res. Lett. 10, 084002 (2015).

8 Rajaratnam, B., Romano, J., Tsiang, M. & Diffenbaugh, N. S. Debunking the climate hiatus. Climatic Change 133, 129–140 (2015).

9 Rahmstorf, S., Foster, G. & Cahill, N. Global temperature evolution: recent trends and some pitfalls. Environ. Res. Lett. 12, 054001 (2017).

10 Kosaka, Y. & Xie, S.-P. Recent global-warming hiatus tied to equatorial Pacific surface cooling. Nature 501, 403–407 (2013).

11 Meehl, G. A., Teng, H. & Arblaster, J. M. Climate model simulations of the observed early-2000s hiatus of global warming. Nat. Clim. Change 4, 898–902 (2014).

12 Risbey, J. S. et al. Well-estimated global surface warming in climate projections selected for ENSO phase. Nat. Clim. Change 4, 835–840 (2014).

13 England, M. H. et al. Recent intensification of wind–driven circulation in the Pacific and the ongoing warming hiatus. Nat. Clim. Change 4, 222–227 (2014).

14 Steinman, B. A., Mann, M. E. & Miller, S. K. Atlantic and Pacific multidecadal oscillations and Northern Hemisphere temperatures. Science 347, 988–991 (2015).

15 Santer, B. D. et al. Volcanic contribution to decadal changes in tropospheric temperature. Nat. Geosci. 7, 185–189 (2014).

16 Fyfe, J. C. et al. Making sense of the early-2000s warming slowdown. Nat. Clim. Change 6, 224–228 (2016).

17 Schmidt, G. A., Shindell, D. T. & Tsigaridis, K. Reconciling warming trends. Nat. Geosci. 7, 1–3 (2014).

18 Gleisner, H., Thejll, P., Christianson, B. & Nielsen, J. K. Recent global warming hiatus dominated by low-latitude temperature trends in surface and troposphere data. Geophys. Res. Lett. 42, 510–517 (2014).

19 Medhaug, I., Stolpe, M. B., Fischer, E. M. & Knutti, R. Reconciling controversies about the ‘global warming hiatus’. Nature 545, 41–47 (2017).

20 Solomon, S. et al. The persistently variable “background” stratospheric aerosol layer and global climate change. Science 333, 866–870 (2011).

21 Vernier, J.-P. Major influence of tropical volcanic eruptions on the stratospheric aerosol layer during the last decade. Geophys. Res. Lett. 38, L12807 (2011).

22 Neely, R. R. et al. Recent anthropogenic increases in SO2 from Asia have minimal impact on stratospheric aerosol. Geophys. Res. Lett. 40, 1–6 (2013).

23 Ridley, D. A. et al. Total volcanic stratospheric aerosol optical depths and implications for global climate change. Geophys. Res. Lett. 41, 7763–7769 (2014).

24 Santer, B. D. et al. Observed multivariable signals of late 20th and early 21st century volcanic activity. Geophys. Res. Lett. 42, 500–509 (2015).

25 Kopp, G. & Lean, J. L. A new, lower value of total solar irradiance: evidence and climate significance. Geophys. Res. Lett. 38, L01706 (2011).

26 Smith, D. M. et al. Role of volcanic and anthropogenic aerosols in the recent global surface warming slowdown. Nat. Clim. Change 6, 936–940 (2016).

27 Solomon, S. et al. Contributions of stratospheric water vapor to decadal changes in the rate of global warming. Science 327, 1219–1223 (2010).

28 Christy, J. R. Testimony in Hearing before the U.S. Senate Committee on Commerce, Science, and Transportation, Subcommittee on Space, Science, and Competitiveness (2015); http://www.commerce.senate.gov/public/index.cfm/2015/12/data-or-dogma-promoting-open-inquiry-in-the-debate-over-the-magnitude-of-human-impact-on-earth-s-climate

29 Mears, C. & Wentz, F. J. Sensitivity of satellite-derived tropospheric temperature trends to the diurnal cycle adjustment. J. Clim. 29, 3629–3646 (2016).

30 Po-Chedley, S., Thorsen, T. J. & Fu, Q. Removing diurnal cycle contamination in satellite-derived tropospheric temperatures: understanding tropical tropospheric trend discrepancies. J. Clim. 28, 2274–2290 (2015).

31 Zou, C.-Z. & Wang, W. Inter-satellite calibration of AMSU-A observations for weather and climate applications. J. Geophys. Res. 116, D23113 (2011).

32 Cowtan, K. & Way, R. G. Coverage bias in the HadCRUT4 temperature series and its impact on recent temperature trends. Q. J. R. Meteorol. Soc. 140, 1935–1944 (2014).

33 US Senate Data or Dogma? Promoting Open Inquiry in the Debate over the Magnitude of Human Impact on Earth’s Climate (2015); http://go.nature.com/2qQjvNL

34 Christy, J. R., Norris, W. B., Spencer, R. W. & Hnilo, J. J. Tropospheric temperature change since 1979 from tropical radiosonde and satellite measurements. J. Geophys. Res. 112, D06102 (2007).

35 Bloomfield, P. & Nychka, D. Climate spectra and detecting climate change. Climatic Change 21, 275–287 (1992).

36 Brown, P. T., Li, W., Cordero, E. C. & Mauget, S. A. Comparing the model-simulated global warming signal to observations using empirical estimates of unforced noise. Sci. Rep. 5, 9957 (2016).

37 Allen, M. R. & Tett, S. F. B. Checking for model consistency in optimal fingerprinting. Clim. Dynam. 15, 419–434 (1999).

38 Mann, M. E., Rahmstorf, S., Steinman, B. A., Tingley, M. & Miller, S. K. The likelihood of recent warmth. Sci. Rep. 6, 19831 (2016).

39 Taylor, K. E., Stouffer, R. J. & Meehl, G. A. An overview of CMIP5 and the experiment design. Bull. Am. Meteorol. Soc. 93, 485–498 (2012).

40 Fu, Q., Johanson, C. M., Warren, S. G. & Seidel, D. J. Contribution of stratospheric cooling to satellite-inferred tropospheric temperature trends. Nature 429, 55–58 (2004).

41 Fu, Q. & Johanson, C. M. Stratospheric influences on MSU-derived tropospheric temperature trends: a direct error analysis. J. Clim. 17, 4636–4640 (2004).

42 Fu, Q., Manabe, S. & Johanson, C. M. On the warming in the tropical upper troposphere: models versus observations. Geophys. Res. Lett. 38, L15704 (2011).

43 Po-Chedley, S. & Fu, Q. Discrepancies in tropical upper tropospheric warming between atmospheric circulation models and satellites. Environ. Res. Lett. 7, 044018 (2012).

44 Santer, B. D. et al. Separating signal and noise in atmospheric temperature changes: the importance of timescale. J. Geophys. Res. 116, D22105 (2011).

45 Santer, B. D. et al. Comparing tropospheric warming in climate models and satellite data. J. Clim. 30, 373–392 (2017).

46 Wigley, T. M. L., Ammann, C. M., Santer, B. D. & Raper, S. C. B. The effect of climate sensitivity on the response to volcanic forcing. J. Geophys. Res. 110, D09107 (2005).

47 Fyfe, J. C., Gillett, N. P. & Zwiers, F. W. Overestimated global warming over the past 20 years. Nat. Clim. Change 3, 767–769 (2013).

48 Johansson, D. J. A., O’Neill, B. C., Tebaldi, C. & Häggström, O. Equilibrium climate sensitivity in light of observations over the warming hiatus. Nat. Clim. Change 5, 449–453 (2015).

49 Wentz, F. J. & Schabel, M. Effects of orbital decay on satellite-derived lower-tropospheric temperature trends. Nature 394, 661–664 (1998).

50 Mears, C. A., Schabel, M. C. & Wentz, F. J. A reanalysis of the MSU channel 2 tropospheric temperature record. J. Clim. 16, 3650–3664 (2003).

51 Po-Chedley, S. & Fu, Q. A bias in the mid-tropospheric channel warm target factor on the NOAA-9 Microwave Sounding Unit. J. Atmos. Ocean. Technol. 29, 646–652 (2012).

52 Trenberth, K. E. Has there been a hiatus? Science 349, 791–792 (2015).

53 Chen, X. & Tung, K. K. Varying planetary heat sink led to global-warming slowdown and acceleration. Science 345, 897–903 (2014).

54 Santer, B. D. et al. Identifying human influences on atmospheric temperature. Proc. Nat Acad. Sci. USA 110, 26–33 (2013).

55 Imbers, J., Lopez, A., Huntingford, C. & Allen, M. R. Testing the robustness of anthropogenic climate change detection statements using different empirical models. J. Geophys. Res. 118, 3192–3199 (2013).

56 Wigley, T. M. L. & Raper, S. C. B. Natural variability of the climate system and detection of the greenhouse effect. Nature 344, 324–327 (1990).

57 Henley, B. J. et al. Spatial and temporal agreement in climate model simulations of the Interdecadal Pacific Oscillation. Environ. Res. Lett. 12, 044011 (2017).

58 Mears, C., Wentz, F. J., Thorne, P. & Bernie, D. Assessing uncertainty in estimates of atmospheric temperature changes from MSU and AMSU using a Monte-Carlo technique. J. Geophys. Res. 116, D08112 (2011).

59 Zou, C.-Z. et al. Recalibration of microwave sounding unit for climate studies using simultaneous nadir overpasses. J. Geophys. Res. 111, D19114 (2006).

60 Zou, C.-Z., Gao, M. & Goldberg, M. Error structure and atmospheric temperature trends in observations from the Microwave Sounding Unit. J. Clim. 22, 1661–1681 (2009).

61 Fu, Q. & Johanson, C. M. Satellite-derived vertical dependence of tropical tropospheric temperature trends. Geophys. Res. Lett. 32, L10703 (2005).

62 Johanson, C. M. & Fu, Q. Robustness of tropospheric temperature trends from MSU Channels 2 and 4. J. Clim. 19, 4234–4242 (2006).

63 Gillett, N. P., Santer, B. D. & Weaver, A. J. Atmospheric science: stratospheric cooling and the troposphere. Nature http://dx.doi.org/10.1038/nature03209 (2004).

64 Kiehl, J. T., Caron, J. & Hack, J. J. On using global climate model simulations to assess the accuracy of MSU retrieval methods for tropospheric warming trends. J. Clim. 18, 2533–2539 (2005).