Articles | Volume 6, issue 2 
            
                
                    
            
            
            https://doi.org/10.5194/esd-6-637-2015
                    © Author(s) 2015. This work is distributed under 
the Creative Commons Attribution 3.0 License.
                the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/esd-6-637-2015
                    © Author(s) 2015. This work is distributed under 
the Creative Commons Attribution 3.0 License.
                the Creative Commons Attribution 3.0 License.
The ScaLIng Macroweather Model (SLIMM): using scaling to forecast global-scale macroweather from months to decades
                                            Physics, McGill University, 3600 University St., Montreal, Que. H3A 2T8, Canada
                                        
                                    L. del Rio Amador
                                            Physics, McGill University, 3600 University St., Montreal, Que. H3A 2T8, Canada
                                        
                                    R. Hébert
                                            Physics, McGill University, 3600 University St., Montreal, Que. H3A 2T8, Canada
                                        
                                    Related authors
Nicolás Acuña Reyes, Elwin van't Wout, Shaun Lovejoy, and Fabrice Lambert
                                    Clim. Past, 20, 1579–1594, https://doi.org/10.5194/cp-20-1579-2024, https://doi.org/10.5194/cp-20-1579-2024, 2024
                                    Short summary
                                    Short summary
                                            
                                                This study employs Haar fluctuations to analyse global atmospheric variability over the Last Glacial Cycle, revealing a latitudinal dependency in the transition from macroweather to climate regimes. Findings indicate faster synchronisation between poles and lower latitudes, supporting the pivotal role of poles as climate change drivers.
                                            
                                            
                                        Shaun Lovejoy
                                    Nonlin. Processes Geophys., 30, 311–374, https://doi.org/10.5194/npg-30-311-2023, https://doi.org/10.5194/npg-30-311-2023, 2023
                                    Short summary
                                    Short summary
                                            How big is a cloud?and
How long does the weather last?require scaling to answer. We review the advances in scaling that have occurred over the last 4 decades: (a) intermittency (multifractality) and (b) stratified and rotating scaling notions (generalized scale invariance). Although scaling theory and the data are now voluminous, atmospheric phenomena are too often viewed through an outdated scalebound lens, and turbulence remains confined to isotropic theories of little relevance.
Shaun Lovejoy
                                    Nonlin. Processes Geophys., 29, 93–121, https://doi.org/10.5194/npg-29-93-2022, https://doi.org/10.5194/npg-29-93-2022, 2022
                                    Short summary
                                    Short summary
                                            
                                                The difference between the energy that the Earth receives from the Sun and the energy it emits as black-body radiation is stored in a scaling hierarchy of structures in the ocean, soil and hydrosphere. The simplest scaling storage model leads to the fractional energy balance equation (FEBE). We examine the statistical properties of FEBE when it is driven by random fluctuations. In this paper, we explore the statistical properties of this mathematically simple yet neglected equation.
                                            
                                            
                                        Roman Procyk, Shaun Lovejoy, and Raphael Hébert
                                    Earth Syst. Dynam., 13, 81–107, https://doi.org/10.5194/esd-13-81-2022, https://doi.org/10.5194/esd-13-81-2022, 2022
                                    Short summary
                                    Short summary
                                            
                                                This paper presents a new class of energy balance model that accounts for the long memory within the Earth's energy storage. The model is calibrated on instrumental temperature records and the historical energy budget of the Earth using an error model predicted by the model itself. Our equilibrium climate sensitivity and future temperature projection estimates are consistent with those estimated by complex climate models.
                                            
                                            
                                        Shaun Lovejoy
                                    Earth Syst. Dynam., 12, 469–487, https://doi.org/10.5194/esd-12-469-2021, https://doi.org/10.5194/esd-12-469-2021, 2021
                                    Short summary
                                    Short summary
                                            
                                                Monthly scale, seasonal-scale, and decadal-scale modeling of the atmosphere is possible using the principle of energy balance. Yet the scope of classical approaches is limited because they do not adequately deal with energy storage in the Earth system. We show that the introduction of a vertical coordinate implies that the storage has a huge memory. This memory can be used for macroweather (long-range) forecasts and climate projections.
                                            
                                            
                                        Shaun Lovejoy
                                    Earth Syst. Dynam., 12, 489–511, https://doi.org/10.5194/esd-12-489-2021, https://doi.org/10.5194/esd-12-489-2021, 2021
                                    Short summary
                                    Short summary
                                            
                                                Radiant energy is exchanged between the Earth's surface and outer space. Some of the local imbalances are stored in the subsurface, and some are transported horizontally. In Part 1 I showed how – in a horizontally homogeneous Earth – these classical approaches imply long-memory storage useful for seasonal forecasting and multidecadal projections. In this Part 2, I show how to apply these results to the heterogeneous real Earth.
                                            
                                            
                                        Shaun Lovejoy and Fabrice Lambert
                                    Clim. Past, 15, 1999–2017, https://doi.org/10.5194/cp-15-1999-2019, https://doi.org/10.5194/cp-15-1999-2019, 2019
                                    Short summary
                                    Short summary
                                            
                                                We analyze the statistical properties of the eight past glacial–interglacial cycles as well as subsections of a generic glacial cycle using the high-resolution dust flux dataset from the Antarctic EPICA Dome C ice core. We show that the high southern latitude climate during glacial maxima, interglacial, and glacial inception is generally more stable but more drought-prone than during mid-glacial conditions.
                                            
                                            
                                        Shaun Lovejoy and Fabrice Lambert
                                        Clim. Past Discuss., https://doi.org/10.5194/cp-2018-110, https://doi.org/10.5194/cp-2018-110, 2018
                                    Manuscript not accepted for further review 
                                    Short summary
                                    Short summary
                                            
                                                The Holocene has been strikingly long and stable when compared to earlier interglacials, and some have argued that the Holocene's exceptional stability permitted the development of agriculture and the spread of civilization. We characterize the past 800 000 years using a high resolution dust record from an Antarctic ice core. We find that although the Holocene is particularly stable when compared to other interglacials, it is not an outlier and other factors may have kickstarted civilization.
                                            
                                            
                                        Shaun Lovejoy and Costas Varotsos
                                    Earth Syst. Dynam., 7, 133–150, https://doi.org/10.5194/esd-7-133-2016, https://doi.org/10.5194/esd-7-133-2016, 2016
                                    Short summary
                                    Short summary
                                            
                                                We compare the statistical properties of solar, volcanic and combined forcings over the range from 1 to 1000 years to see over which scale ranges they additively combine, a prediction of linear response. The main findings are (a) that the variability in the Zebiac–Cane model and GCMs are too weak at centennial and longer scales; (b) for longer than ≈ 50 years, the forcings combine subadditively; and (c) at shorter scales, strong (intermittency, e.g. volcanic) forcings are nonlinear.
                                            
                                            
                                        F. Landais, F. Schmidt, and S. Lovejoy
                                    Nonlin. Processes Geophys., 22, 713–722, https://doi.org/10.5194/npg-22-713-2015, https://doi.org/10.5194/npg-22-713-2015, 2015
                                    Short summary
                                    Short summary
                                            
                                                In the present study, we investigate the scaling properties of the topography of Mars. Planetary topographic fields are well known to exhibit (mono)fractal behavior. Indeed, fractal formalism is efficient in reproducing the variability observed in topography. Our results  suggest a multifractal behavior from the planetary scale down to 10 km. From 10 km to 300 m, the topography seems to be simple monofractal.
                                            
                                            
                                        C. A. Varotsos, S. Lovejoy, N. V. Sarlis, C. G. Tzanis, and M. N. Efstathiou
                                    Atmos. Chem. Phys., 15, 7301–7306, https://doi.org/10.5194/acp-15-7301-2015, https://doi.org/10.5194/acp-15-7301-2015, 2015
                                    Short summary
                                    Short summary
                                            
                                                Varotsos et al. (Theor. Appl. Climatol., 114, 725–727, 2013) found that the solar ultraviolet (UV) wavelengths exhibit 1/f-type power-law correlations. In this study, we show that the residues of the spectral solar incident flux with respect to the Planck law over a wider range of wavelengths (i.e. UV-visible) have a scaling regime too.
                                            
                                            
                                        J. Pinel and S. Lovejoy
                                    Atmos. Chem. Phys., 14, 3195–3210, https://doi.org/10.5194/acp-14-3195-2014, https://doi.org/10.5194/acp-14-3195-2014, 2014
                            G. A. Schmidt, J. D. Annan, P. J. Bartlein, B. I. Cook, E. Guilyardi, J. C. Hargreaves, S. P. Harrison, M. Kageyama, A. N. LeGrande, B. Konecky, S. Lovejoy, M. E. Mann, V. Masson-Delmotte, C. Risi, D. Thompson, A. Timmermann, L.-B. Tremblay, and P. Yiou
                                    Clim. Past, 10, 221–250, https://doi.org/10.5194/cp-10-221-2014, https://doi.org/10.5194/cp-10-221-2014, 2014
                            S. Lovejoy, D. Schertzer, and D. Varon
                                    Earth Syst. Dynam., 4, 439–454, https://doi.org/10.5194/esd-4-439-2013, https://doi.org/10.5194/esd-4-439-2013, 2013
                            A. Gires, I. Tchiguirinskaia, D. Schertzer, and S. Lovejoy
                                    Nonlin. Processes Geophys., 20, 343–356, https://doi.org/10.5194/npg-20-343-2013, https://doi.org/10.5194/npg-20-343-2013, 2013
                            Laura Schild, Peter Ewald, Chenzhi Li, Raphaël Hébert, Thomas Laepple, and Ulrike Herzschuh
                                    Earth Syst. Sci. Data, 17, 2007–2033, https://doi.org/10.5194/essd-17-2007-2025, https://doi.org/10.5194/essd-17-2007-2025, 2025
                                    Short summary
                                    Short summary
                                            
                                                This study reconstructed vegetation and tree cover in the Northern Hemisphere from a harmonized dataset of pollen counts from sediment and peat cores for the past 14 000 years. A model was applied to correct for differences in pollen production between different plants, and modern remote-sensing forest cover was used to validate the reconstructed tree cover. Accurate data on past vegetation are invaluable for the investigation of vegetation–climate dynamics and the validation of vegetation models.
                                            
                                            
                                        Mara Y. McPartland, Thomas Münch, Andrew M. Dolman, Raphaël Hébert, and Thomas Laepple
                                        Clim. Past Discuss., https://doi.org/10.5194/cp-2024-73, https://doi.org/10.5194/cp-2024-73, 2024
                                    Preprint under review for CP 
                                    Short summary
                                    Short summary
                                            
                                                Paleoclimate proxy records contain a combination of climate signals and non-climatic noise. This noise can affect year-to-year variations, or introduce uncertainty on medium and long timescales. Proxies contain different types, or "colors" of noise stemming from the diverse physical and biological processes that go into their creation. We show how non-climatic noise affects tree rings, corals and ice cores. We aim to improve representations of noise in paleoclimate research activities.
                                            
                                            
                                        Nicolás Acuña Reyes, Elwin van't Wout, Shaun Lovejoy, and Fabrice Lambert
                                    Clim. Past, 20, 1579–1594, https://doi.org/10.5194/cp-20-1579-2024, https://doi.org/10.5194/cp-20-1579-2024, 2024
                                    Short summary
                                    Short summary
                                            
                                                This study employs Haar fluctuations to analyse global atmospheric variability over the Last Glacial Cycle, revealing a latitudinal dependency in the transition from macroweather to climate regimes. Findings indicate faster synchronisation between poles and lower latitudes, supporting the pivotal role of poles as climate change drivers.
                                            
                                            
                                        Shaun Lovejoy
                                    Nonlin. Processes Geophys., 30, 311–374, https://doi.org/10.5194/npg-30-311-2023, https://doi.org/10.5194/npg-30-311-2023, 2023
                                    Short summary
                                    Short summary
                                            How big is a cloud?and
How long does the weather last?require scaling to answer. We review the advances in scaling that have occurred over the last 4 decades: (a) intermittency (multifractality) and (b) stratified and rotating scaling notions (generalized scale invariance). Although scaling theory and the data are now voluminous, atmospheric phenomena are too often viewed through an outdated scalebound lens, and turbulence remains confined to isotropic theories of little relevance.
Ulrike Herzschuh, Thomas Böhmer, Manuel Chevalier, Raphaël Hébert, Anne Dallmeyer, Chenzhi Li, Xianyong Cao, Odile Peyron, Larisa Nazarova, Elena Y. Novenko, Jungjae Park, Natalia A. Rudaya, Frank Schlütz, Lyudmila S. Shumilovskikh, Pavel E. Tarasov, Yongbo Wang, Ruilin Wen, Qinghai Xu, and Zhuo Zheng
                                    Clim. Past, 19, 1481–1506, https://doi.org/10.5194/cp-19-1481-2023, https://doi.org/10.5194/cp-19-1481-2023, 2023
                                    Short summary
                                    Short summary
                                            
                                                A mismatch between model- and proxy-based Holocene climate change may partially originate from the poor spatial coverage of climate reconstructions. Here we investigate quantitative reconstructions of mean annual temperature and annual precipitation from 1908 pollen records in the Northern Hemisphere. Trends show strong latitudinal patterns and differ between (sub-)continents. Our work contributes to a better understanding of the global mean.
                                            
                                            
                                        Ulrike Herzschuh, Thomas Böhmer, Chenzhi Li, Manuel Chevalier, Raphaël Hébert, Anne Dallmeyer, Xianyong Cao, Nancy H. Bigelow, Larisa Nazarova, Elena Y. Novenko, Jungjae Park, Odile Peyron, Natalia A. Rudaya, Frank Schlütz, Lyudmila S. Shumilovskikh, Pavel E. Tarasov, Yongbo Wang, Ruilin Wen, Qinghai Xu, and Zhuo Zheng
                                    Earth Syst. Sci. Data, 15, 2235–2258, https://doi.org/10.5194/essd-15-2235-2023, https://doi.org/10.5194/essd-15-2235-2023, 2023
                                    Short summary
                                    Short summary
                                            
                                                Climate reconstruction from proxy data can help evaluate climate models. We present pollen-based reconstructions of mean July temperature, mean annual temperature, and annual precipitation from 2594 pollen records from the Northern Hemisphere, using three reconstruction methods (WA-PLS, WA-PLS_tailored, and MAT). Since no global or hemispheric synthesis of quantitative precipitation changes are available for the Holocene so far, this dataset will be of great value to the geoscientific community.
                                            
                                            
                                        Shaun Lovejoy
                                    Nonlin. Processes Geophys., 29, 93–121, https://doi.org/10.5194/npg-29-93-2022, https://doi.org/10.5194/npg-29-93-2022, 2022
                                    Short summary
                                    Short summary
                                            
                                                The difference between the energy that the Earth receives from the Sun and the energy it emits as black-body radiation is stored in a scaling hierarchy of structures in the ocean, soil and hydrosphere. The simplest scaling storage model leads to the fractional energy balance equation (FEBE). We examine the statistical properties of FEBE when it is driven by random fluctuations. In this paper, we explore the statistical properties of this mathematically simple yet neglected equation.
                                            
                                            
                                        Roman Procyk, Shaun Lovejoy, and Raphael Hébert
                                    Earth Syst. Dynam., 13, 81–107, https://doi.org/10.5194/esd-13-81-2022, https://doi.org/10.5194/esd-13-81-2022, 2022
                                    Short summary
                                    Short summary
                                            
                                                This paper presents a new class of energy balance model that accounts for the long memory within the Earth's energy storage. The model is calibrated on instrumental temperature records and the historical energy budget of the Earth using an error model predicted by the model itself. Our equilibrium climate sensitivity and future temperature projection estimates are consistent with those estimated by complex climate models.
                                            
                                            
                                        Raphaël Hébert, Kira Rehfeld, and Thomas Laepple
                                    Nonlin. Processes Geophys., 28, 311–328, https://doi.org/10.5194/npg-28-311-2021, https://doi.org/10.5194/npg-28-311-2021, 2021
                                    Short summary
                                    Short summary
                                            
                                                Paleoclimate proxy data are essential for broadening our understanding of climate variability. There remain, however, challenges for traditional methods of variability analysis to be applied to such data, which are usually irregular. We perform a comparative analysis of different methods of scaling analysis, which provide variability estimates as a function of timescales, applied to irregular paleoclimate proxy data.
                                            
                                            
                                        Shaun Lovejoy
                                    Earth Syst. Dynam., 12, 469–487, https://doi.org/10.5194/esd-12-469-2021, https://doi.org/10.5194/esd-12-469-2021, 2021
                                    Short summary
                                    Short summary
                                            
                                                Monthly scale, seasonal-scale, and decadal-scale modeling of the atmosphere is possible using the principle of energy balance. Yet the scope of classical approaches is limited because they do not adequately deal with energy storage in the Earth system. We show that the introduction of a vertical coordinate implies that the storage has a huge memory. This memory can be used for macroweather (long-range) forecasts and climate projections.
                                            
                                            
                                        Shaun Lovejoy
                                    Earth Syst. Dynam., 12, 489–511, https://doi.org/10.5194/esd-12-489-2021, https://doi.org/10.5194/esd-12-489-2021, 2021
                                    Short summary
                                    Short summary
                                            
                                                Radiant energy is exchanged between the Earth's surface and outer space. Some of the local imbalances are stored in the subsurface, and some are transported horizontally. In Part 1 I showed how – in a horizontally homogeneous Earth – these classical approaches imply long-memory storage useful for seasonal forecasting and multidecadal projections. In this Part 2, I show how to apply these results to the heterogeneous real Earth.
                                            
                                            
                                        Kira Rehfeld, Raphaël Hébert, Juan M. Lora, Marcus Lofverstrom, and Chris M. Brierley
                                    Earth Syst. Dynam., 11, 447–468, https://doi.org/10.5194/esd-11-447-2020, https://doi.org/10.5194/esd-11-447-2020, 2020
                                    Short summary
                                    Short summary
                                            
                                                Under continued anthropogenic greenhouse gas emissions, it is likely that global mean surface temperature will continue to increase. Little is known about changes in climate variability. We analyze surface climate variability and compare it to mean change in colder- and warmer-than-present climate model simulations. In most locations, but not on subtropical land, simulated temperature variability up to decadal timescales decreases with mean temperature, and precipitation variability increases.
                                            
                                            
                                        Shaun Lovejoy and Fabrice Lambert
                                    Clim. Past, 15, 1999–2017, https://doi.org/10.5194/cp-15-1999-2019, https://doi.org/10.5194/cp-15-1999-2019, 2019
                                    Short summary
                                    Short summary
                                            
                                                We analyze the statistical properties of the eight past glacial–interglacial cycles as well as subsections of a generic glacial cycle using the high-resolution dust flux dataset from the Antarctic EPICA Dome C ice core. We show that the high southern latitude climate during glacial maxima, interglacial, and glacial inception is generally more stable but more drought-prone than during mid-glacial conditions.
                                            
                                            
                                        Shaun Lovejoy and Fabrice Lambert
                                        Clim. Past Discuss., https://doi.org/10.5194/cp-2018-110, https://doi.org/10.5194/cp-2018-110, 2018
                                    Manuscript not accepted for further review 
                                    Short summary
                                    Short summary
                                            
                                                The Holocene has been strikingly long and stable when compared to earlier interglacials, and some have argued that the Holocene's exceptional stability permitted the development of agriculture and the spread of civilization. We characterize the past 800 000 years using a high resolution dust record from an Antarctic ice core. We find that although the Holocene is particularly stable when compared to other interglacials, it is not an outlier and other factors may have kickstarted civilization.
                                            
                                            
                                        Shaun Lovejoy and Costas Varotsos
                                    Earth Syst. Dynam., 7, 133–150, https://doi.org/10.5194/esd-7-133-2016, https://doi.org/10.5194/esd-7-133-2016, 2016
                                    Short summary
                                    Short summary
                                            
                                                We compare the statistical properties of solar, volcanic and combined forcings over the range from 1 to 1000 years to see over which scale ranges they additively combine, a prediction of linear response. The main findings are (a) that the variability in the Zebiac–Cane model and GCMs are too weak at centennial and longer scales; (b) for longer than ≈ 50 years, the forcings combine subadditively; and (c) at shorter scales, strong (intermittency, e.g. volcanic) forcings are nonlinear.
                                            
                                            
                                        F. Landais, F. Schmidt, and S. Lovejoy
                                    Nonlin. Processes Geophys., 22, 713–722, https://doi.org/10.5194/npg-22-713-2015, https://doi.org/10.5194/npg-22-713-2015, 2015
                                    Short summary
                                    Short summary
                                            
                                                In the present study, we investigate the scaling properties of the topography of Mars. Planetary topographic fields are well known to exhibit (mono)fractal behavior. Indeed, fractal formalism is efficient in reproducing the variability observed in topography. Our results  suggest a multifractal behavior from the planetary scale down to 10 km. From 10 km to 300 m, the topography seems to be simple monofractal.
                                            
                                            
                                        C. A. Varotsos, S. Lovejoy, N. V. Sarlis, C. G. Tzanis, and M. N. Efstathiou
                                    Atmos. Chem. Phys., 15, 7301–7306, https://doi.org/10.5194/acp-15-7301-2015, https://doi.org/10.5194/acp-15-7301-2015, 2015
                                    Short summary
                                    Short summary
                                            
                                                Varotsos et al. (Theor. Appl. Climatol., 114, 725–727, 2013) found that the solar ultraviolet (UV) wavelengths exhibit 1/f-type power-law correlations. In this study, we show that the residues of the spectral solar incident flux with respect to the Planck law over a wider range of wavelengths (i.e. UV-visible) have a scaling regime too.
                                            
                                            
                                        J. Pinel and S. Lovejoy
                                    Atmos. Chem. Phys., 14, 3195–3210, https://doi.org/10.5194/acp-14-3195-2014, https://doi.org/10.5194/acp-14-3195-2014, 2014
                            G. A. Schmidt, J. D. Annan, P. J. Bartlein, B. I. Cook, E. Guilyardi, J. C. Hargreaves, S. P. Harrison, M. Kageyama, A. N. LeGrande, B. Konecky, S. Lovejoy, M. E. Mann, V. Masson-Delmotte, C. Risi, D. Thompson, A. Timmermann, L.-B. Tremblay, and P. Yiou
                                    Clim. Past, 10, 221–250, https://doi.org/10.5194/cp-10-221-2014, https://doi.org/10.5194/cp-10-221-2014, 2014
                            S. Lovejoy, D. Schertzer, and D. Varon
                                    Earth Syst. Dynam., 4, 439–454, https://doi.org/10.5194/esd-4-439-2013, https://doi.org/10.5194/esd-4-439-2013, 2013
                            A. Gires, I. Tchiguirinskaia, D. Schertzer, and S. Lovejoy
                                    Nonlin. Processes Geophys., 20, 343–356, https://doi.org/10.5194/npg-20-343-2013, https://doi.org/10.5194/npg-20-343-2013, 2013
                            Related subject area
            Earth system change: climate prediction
            
                    
                        
                            
                            
                                     
                                Past and future response of the North Atlantic warming hole to anthropogenic forcing
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Performance-based sub-selection of CMIP6 models for impact assessments in Europe
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Emergent constraints for the climate system as effective parameters of bulk differential equations
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Ensemble forecast of an index of the Madden–Julian Oscillation using a stochastic weather generator based on circulation analogs
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Reconstructions and predictions of the global carbon budget with an emission-driven Earth system model
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                PInc-PanTher estimates of Arctic permafrost soil carbon under the GeoMIP G6solar and G6sulfur experiments
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                El Niño–Southern Oscillation (ENSO) predictability in equilibrated warmer climates
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Investigation of the extreme wet–cold compound events changes between 2025–2049 and 1980–2004 using regional simulations in Greece
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Constraining low-frequency variability in climate projections to predict climate on decadal to multi-decadal timescales – a poor man's initialized prediction system
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Resilience of UK crop yields to compound climate change
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Evaluating uncertainty in aerosol forcing of tropical precipitation shifts
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                A non-stationary extreme-value approach for climate projection ensembles: application to snow loads in the French Alps
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Atmospheric regional climate projections for the Baltic Sea region until 2100
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Balanced estimate and uncertainty assessment of European climate change using the large EURO-CORDEX regional climate model ensemble
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Extreme metrics from large ensembles: investigating the effects of ensemble size on their estimates
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Reduced-complexity model for the impact of anthropogenic CO2 emissions on future glacial cycles
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Is time a variable like the others in multivariate statistical downscaling and bias correction?
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Trivial improvements in predictive skill due to direct reconstruction of the global carbon cycle
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Abrupt climate change as a rate-dependent cascading tipping point
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Bayesian estimation of Earth's climate sensitivity and transient climate response from observational warming and heat content datasets
                                
                                        
                                            
                                                
                                            
                                        
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Comparison of CMIP6 historical climate simulations and future projected warming to an empirical model of global climate
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Assessment of a full-field initialized decadal climate prediction system with the CMIP6 version of EC-Earth
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                A new view of heat wave dynamics and predictability over the eastern Mediterranean
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Emergent constraints on equilibrium climate sensitivity in CMIP5: do they hold for CMIP6?
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Dating hiatuses: a statistical model of the recent slowdown in global warming and the next one
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Calibrating large-ensemble European climate projections using observational data
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Reduced global warming from CMIP6 projections when weighting models by performance and independence
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Emergent constraints on transient climate response (TCR) and equilibrium climate sensitivity (ECS) from historical warming in CMIP5 and CMIP6 models
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Multivariate bias corrections of climate simulations: which benefits for which losses?
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Historical and future anthropogenic warming effects on droughts, fires and fire emissions of CO2 and PM2.5 in equatorial Asia when 2015-like El Niño events occur
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                The impact of regional climate model formulation and resolution on simulated precipitation in Africa
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Bayesian deconstruction of climate sensitivity estimates using simple models: implicit priors and the confusion of the inverse
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Intensification of the hydrological cycle expected in West Africa over the 21st century
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Winter hydrometeorological extreme events modulated by large-scale atmospheric circulation in southern Ontario
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Investigating ENSO and its teleconnections under climate change in an ensemble view – a new perspective
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Human influence on European winter wind storms such as those of January 2018
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                 September Arctic sea ice minimum prediction – a skillful new statistical approach
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                ESD Reviews: Model dependence in multi-model climate ensembles: weighting, sub-selection and out-of-sample testing
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Predicting near-term variability in ocean carbon uptake
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                A mathematical approach to understanding emergent constraints
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Seasonal prediction skill of East Asian summer monsoon in CMIP5 models
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Assessing the impact of a future volcanic eruption on decadal predictions
                                
                            
                        
                    
                    
                        
                            
                            
                                     
                                Projections of East Asian summer monsoon change at global warming of 1.5 and 2 °C
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                            
                                     
                                Changes in extremely hot days under stabilized 1.5 and 2.0 °C global warming scenarios as simulated by the HAPPI multi-model ensemble
                                
                                        
                                            
                                    
                            
                            
                            
                        
                    
                    
                        
                            
                            
                            
                                     
                                Regional scaling of annual mean precipitation and water availability with global temperature change
                                
                                        
                                            
                                    
                            
                            
                            
                        
                    
                    
                        
                            
                            
                            
                                     
                                Irreversible ocean thermal expansion under carbon dioxide removal
                                
                                        
                                            
                                    
                            
                            
                            
                        
                    
                    
                        
                            
                            
                            
                                     
                                Changes in tropical cyclones under stabilized 1.5 and 2.0 °C global warming scenarios as simulated by the Community Atmospheric Model under the HAPPI protocols
                                
                                        
                                            
                                    
                            
                            
                            
                        
                    
                    
                        
                            
                            
                            
                                     
                                Selecting a climate model subset to optimise key ensemble properties
                                
                                        
                                            
                                    
                            
                            
                            
                        
                    
                    
                        
                            
                            
                            
                                     
                                Return levels of temperature extremes in southern Pakistan
                                
                                        
                                            
                                    
                            
                            
                            
                        
                    
                    
                        
                            
                            
                            
                                     
                                On the meaning of independence in climate science
                                
                                        
                                            
                                    
                            
                            
                            
                        
                    
                    
            
        
        Saïd Qasmi
                                    Earth Syst. Dynam., 14, 685–695, https://doi.org/10.5194/esd-14-685-2023, https://doi.org/10.5194/esd-14-685-2023, 2023
                                    Short summary
                                    Short summary
                                            
                                                A new statistical method combining climate models and observations confirms the anthropogenic role in the cooling of the North Atlantic warming hole. Aerosols increase sea surface temperature (SST), while greenhouse gases contribute to the cooling over the 1870–2020 period. The method is able to reduce model uncertainty in the SST projections by 65% in the short term and up to 50% in the long term, excluding previous unlikely temperature increase scenarios.
                                            
                                            
                                        Tamzin E. Palmer, Carol F. McSweeney, Ben B. B. Booth, Matthew D. K. Priestley, Paolo Davini, Lukas Brunner, Leonard Borchert, and Matthew B. Menary
                                    Earth Syst. Dynam., 14, 457–483, https://doi.org/10.5194/esd-14-457-2023, https://doi.org/10.5194/esd-14-457-2023, 2023
                                    Short summary
                                    Short summary
                                            
                                                We carry out an assessment of an ensemble of general climate models (CMIP6) based on the ability of the models to represent the key physical processes that are important for representing European climate. Filtering the models with the assessment leads to more models with less global warming being removed, and this shifts the lower part of the projected temperature range towards greater warming. This is in contrast to the affect of weighting the ensemble using global temperature trends.
                                            
                                            
                                        Chris Huntingford, Peter M. Cox, Mark S. Williamson, Joseph J. Clarke, and Paul D. L. Ritchie
                                    Earth Syst. Dynam., 14, 433–442, https://doi.org/10.5194/esd-14-433-2023, https://doi.org/10.5194/esd-14-433-2023, 2023
                                    Short summary
                                    Short summary
                                            
                                                Emergent constraints (ECs) reduce the spread of projections between climate models. ECs estimate changes to climate features impacting adaptation policy, and with this high profile, the method is under scrutiny. Asking 
                                            
                                        What is an EC?, we suggest they are often the discovery of parameters that characterise hidden large-scale equations that climate models solve implicitly. We present this conceptually via two examples. Our analysis implies possible new paths to link ECs and physical processes.
Meriem Krouma, Riccardo Silini, and Pascal Yiou
                                    Earth Syst. Dynam., 14, 273–290, https://doi.org/10.5194/esd-14-273-2023, https://doi.org/10.5194/esd-14-273-2023, 2023
                                    Short summary
                                    Short summary
                                            
                                                We present a simple system to forecast the Madden–Julian Oscillation (MJO). We use atmospheric circulation as input to our system. We found a good-skill forecast of the MJO amplitude within 40 d using this methodology. Comparing our results with ECMWF and machine learning forecasts confirmed the good skill of our system.
                                            
                                            
                                        Hongmei Li, Tatiana Ilyina, Tammas Loughran, Aaron Spring, and Julia Pongratz
                                    Earth Syst. Dynam., 14, 101–119, https://doi.org/10.5194/esd-14-101-2023, https://doi.org/10.5194/esd-14-101-2023, 2023
                                    Short summary
                                    Short summary
                                            
                                                For the first time, our decadal prediction system based on Max Planck Institute Earth System Model enables prognostic atmospheric CO2 with an interactive carbon cycle. The evolution of CO2 fluxes and atmospheric CO2 growth is reconstructed well by assimilating data products; retrospective predictions show high confidence in predicting changes in the next year. The Earth system predictions provide valuable inputs for understanding the global carbon cycle and informing climate-relevant policy.
                                            
                                            
                                        Aobo Liu, John C. Moore, and Yating Chen
                                    Earth Syst. Dynam., 14, 39–53, https://doi.org/10.5194/esd-14-39-2023, https://doi.org/10.5194/esd-14-39-2023, 2023
                                    Short summary
                                    Short summary
                                            
                                                Permafrost thaws and releases carbon (C) as the Arctic warms. Most earth system models (ESMs) have poor estimates of C stored now, so their future C losses are much lower than using the permafrost C model with climate inputs from six ESMs. Bias-corrected soil temperatures and plant productivity plus geoengineering lowering global temperatures from a no-mitigation baseline scenario to a moderate emissions level keep C in the soil worth about USD 0–70 (mean 20) trillion in climate damages by 2100.
                                            
                                            
                                        Yiyu Zheng, Maria Rugenstein, Patrick Pieper, Goratz Beobide-Arsuaga, and Johanna Baehr
                                    Earth Syst. Dynam., 13, 1611–1623, https://doi.org/10.5194/esd-13-1611-2022, https://doi.org/10.5194/esd-13-1611-2022, 2022
                                    Short summary
                                    Short summary
                                            
                                                El Niño–Southern Oscillation (ENSO) is one of the dominant climatic phenomena in the equatorial Pacific. Understanding and predicting how ENSO might change in a warmer climate is both societally and scientifically important. We use 1000-year-long simulations from seven climate models to analyze ENSO in an idealized stable climate. We show that ENSO will be weaker and last shorter under the warming, while the skill of ENSO prediction will unlikely change.
                                            
                                            
                                        Iason Markantonis, Diamando Vlachogiannis, Athanasios Sfetsos, and Ioannis Kioutsioukis
                                    Earth Syst. Dynam., 13, 1491–1504, https://doi.org/10.5194/esd-13-1491-2022, https://doi.org/10.5194/esd-13-1491-2022, 2022
                                    Short summary
                                    Short summary
                                            
                                                This work focuses on the study of daily wet–cold compound events in Greece in the period November–April. We firstly study the historic period 1980–2004 in which we validate projection models with observations. Then we compare the model results with future period 2025–2049 RCP4.5 and RCP8.5 scenarios. The aim of the study is to calculate the probability of the events and to locate the areas where those are higher and how the probabilities will change at the future.
                                            
                                            
                                        Rashed Mahmood, Markus G. Donat, Pablo Ortega, Francisco J. Doblas-Reyes, Carlos Delgado-Torres, Margarida Samsó, and Pierre-Antoine Bretonnière
                                    Earth Syst. Dynam., 13, 1437–1450, https://doi.org/10.5194/esd-13-1437-2022, https://doi.org/10.5194/esd-13-1437-2022, 2022
                                    Short summary
                                    Short summary
                                            
                                                Near-term climate change projections are strongly affected by the uncertainty from internal climate variability. Here we present a novel approach to reduce such uncertainty by constraining decadal-scale variability in the projections using observations. The constrained ensembles show significant added value over the unconstrained ensemble in predicting global climate 2 decades ahead. We also show the applicability of regional constraints for attributing predictability to certain ocean regions.
                                            
                                            
                                        Louise J. Slater, Chris Huntingford, Richard F. Pywell, John W. Redhead, and Elizabeth J. Kendon
                                    Earth Syst. Dynam., 13, 1377–1396, https://doi.org/10.5194/esd-13-1377-2022, https://doi.org/10.5194/esd-13-1377-2022, 2022
                                    Short summary
                                    Short summary
                                            
                                                This work considers how wheat yields are affected by weather conditions during the three main wheat growth stages in the UK. Impacts are strongest in years with compound weather extremes across multiple growth stages. Future climate projections are beneficial for wheat yields, on average, but indicate a high risk of unseen weather conditions which farmers may struggle to adapt to and mitigate against.
                                            
                                            
                                        Amy H. Peace, Ben B. B. Booth, Leighton A. Regayre, Ken S. Carslaw, David M. H. Sexton, Céline J. W. Bonfils, and John W. Rostron
                                    Earth Syst. Dynam., 13, 1215–1232, https://doi.org/10.5194/esd-13-1215-2022, https://doi.org/10.5194/esd-13-1215-2022, 2022
                                    Short summary
                                    Short summary
                                            
                                                Anthropogenic aerosol emissions have been linked to driving climate responses such as shifts in the location of tropical rainfall. However, the interaction of aerosols with climate remains one of the most uncertain aspects of climate modelling and limits our ability to predict future climate change. We use an ensemble of climate model simulations to investigate what impact the large uncertainty in how aerosols interact with climate has on predicting future tropical rainfall shifts.
                                            
                                            
                                        Erwan Le Roux, Guillaume Evin, Nicolas Eckert, Juliette Blanchet, and Samuel Morin
                                    Earth Syst. Dynam., 13, 1059–1075, https://doi.org/10.5194/esd-13-1059-2022, https://doi.org/10.5194/esd-13-1059-2022, 2022
                                    Short summary
                                    Short summary
                                            
                                                Anticipating risks related to climate extremes is critical for societal adaptation to climate change. In this study, we propose a statistical method in order to estimate future climate extremes from past observations and an ensemble of climate change simulations. We apply this approach to snow load data available in the French Alps at 1500 m elevation and find that extreme snow load is projected to decrease by −2.9 kN m−2 (−50 %) between 1986–2005 and 2080–2099 for a high-emission scenario.
                                            
                                            
                                        Ole Bøssing Christensen, Erik Kjellström, Christian Dieterich, Matthias Gröger, and Hans Eberhard Markus Meier
                                    Earth Syst. Dynam., 13, 133–157, https://doi.org/10.5194/esd-13-133-2022, https://doi.org/10.5194/esd-13-133-2022, 2022
                                    Short summary
                                    Short summary
                                            
                                                The Baltic Sea Region is very sensitive to climate change, whose impacts could easily exacerbate biodiversity stress from society and eutrophication of the Baltic Sea. Therefore, there has been a focus on estimations of future climate change and its impacts in recent research. Models show a strong warming, in particular in the north in winter. Precipitation is projected to increase in the whole region apart from the south during summer. New results improve estimates of future climate change.
                                            
                                            
                                        Guillaume Evin, Samuel Somot, and Benoit Hingray
                                    Earth Syst. Dynam., 12, 1543–1569, https://doi.org/10.5194/esd-12-1543-2021, https://doi.org/10.5194/esd-12-1543-2021, 2021
                                    Short summary
                                    Short summary
                                            
                                                This research paper proposes an assessment of mean climate change responses and related uncertainties over Europe for mean seasonal temperature and total seasonal precipitation. An advanced statistical approach is applied to a large ensemble of 87 high-resolution EURO-CORDEX projections. For the first time, we provide a comprehensive estimation of the relative contribution of GCMs and RCMs, RCP scenarios, and internal variability to the total variance of a very large ensemble.
                                            
                                            
                                        Claudia Tebaldi, Kalyn Dorheim, Michael Wehner, and Ruby Leung
                                    Earth Syst. Dynam., 12, 1427–1501, https://doi.org/10.5194/esd-12-1427-2021, https://doi.org/10.5194/esd-12-1427-2021, 2021
                                    Short summary
                                    Short summary
                                            
                                                We address the question of how large an initial condition ensemble of climate model  simulations should be if we are concerned with accurately projecting future changes in temperature and precipitation extremes. We find that for most cases (and both models considered), an ensemble of 20–25 members is sufficient for many extreme metrics, spatial scales and time horizons. This may leave computational resources to tackle other uncertainties in climate model simulations with our ensembles.
                                            
                                            
                                        Stefanie Talento and Andrey Ganopolski
                                    Earth Syst. Dynam., 12, 1275–1293, https://doi.org/10.5194/esd-12-1275-2021, https://doi.org/10.5194/esd-12-1275-2021, 2021
                                    Short summary
                                    Short summary
                                            
                                                We propose a model for glacial cycles and produce an assessment of possible trajectories for the next 1 million years. Under natural conditions, the next glacial inception would most likely occur ∼50 kyr after present. We show that fossil-fuel CO2 releases can have an extremely long-term effect. Potentially achievable CO2 anthropogenic emissions during the next centuries will most likely provoke ice-free conditions in the Northern Hemisphere landmasses throughout the next half a million years.
                                            
                                            
                                        Yoann Robin and Mathieu Vrac
                                    Earth Syst. Dynam., 12, 1253–1273, https://doi.org/10.5194/esd-12-1253-2021, https://doi.org/10.5194/esd-12-1253-2021, 2021
                                    Short summary
                                    Short summary
                                            
                                                We propose a new multivariate downscaling and bias correction approach called 
                                            
                                        time-shifted multivariate bias correction, which aims to correct temporal dependencies in addition to inter-variable and spatial ones. Our method is evaluated in a
perfect model experimentcontext where simulations are used as pseudo-observations. The results show a large reduction of the biases in the temporal properties, while inter-variable and spatial dependence structures are still correctly adjusted.
Aaron Spring, István Dunkl, Hongmei Li, Victor Brovkin, and Tatiana Ilyina
                                    Earth Syst. Dynam., 12, 1139–1167, https://doi.org/10.5194/esd-12-1139-2021, https://doi.org/10.5194/esd-12-1139-2021, 2021
                                    Short summary
                                    Short summary
                                            
                                                Numerical carbon cycle prediction models usually do not start from observed carbon states due to sparse observations. Instead, only physical climate is reconstructed, assuming that the carbon cycle follows indirectly. Here, we test in an idealized framework how well this indirect and direct reconstruction with perfect observations works. We find that indirect reconstruction works quite well and that improvements from the direct method are limited, strengthening the current indirect use.
                                            
                                            
                                        Johannes Lohmann, Daniele Castellana, Peter D. Ditlevsen, and Henk A. Dijkstra
                                    Earth Syst. Dynam., 12, 819–835, https://doi.org/10.5194/esd-12-819-2021, https://doi.org/10.5194/esd-12-819-2021, 2021
                                    Short summary
                                    Short summary
                                            
                                                Tipping of one climate subsystem could trigger a cascade of subsequent tipping points and even global-scale climate tipping. Sequential shifts of atmosphere, sea ice and ocean have been recorded in proxy archives of past climate change. Based on this we propose a conceptual model for abrupt climate changes of the last glacial. Here, rate-induced tipping enables tipping cascades in systems with relatively weak coupling. An early warning signal is proposed that may detect such a tipping.
                                            
                                            
                                        Philip Goodwin and B. B. Cael
                                    Earth Syst. Dynam., 12, 709–723, https://doi.org/10.5194/esd-12-709-2021, https://doi.org/10.5194/esd-12-709-2021, 2021
                                    Short summary
                                    Short summary
                                            Climate sensitivityis a key measure of how sensitive Earth's climate is to human release of greenhouse gasses, such as from fossil fuels. However, there is still uncertainty as to the value of climate sensitivity, in part because different climate feedbacks operate over multiple timescales. This study assesses hundreds of millions of climate simulations against historical observations to reduce uncertainty in climate sensitivity and future climate warming.
Laura A. McBride, Austin P. Hope, Timothy P. Canty, Brian F. Bennett, Walter R. Tribett, and Ross J. Salawitch
                                    Earth Syst. Dynam., 12, 545–579, https://doi.org/10.5194/esd-12-545-2021, https://doi.org/10.5194/esd-12-545-2021, 2021
                                    Short summary
                                    Short summary
                                            
                                                We use a reduced-complexity climate model trained by observations to show that at the current rate of human release of CO2, total cumulative emissions will pass the 66 % likelihood of limiting warming to 1.5° or 2°C in about 10 and 35 years, respectively. We also show that complex climate models often used to guide policy tend to warm faster than observed over the past few decades. To achieve the Paris Climate Agreement, CO2 and CH4 emissions must be severely curtailed in the next decade.
                                            
                                            
                                        Roberto Bilbao, Simon Wild, Pablo Ortega, Juan Acosta-Navarro, Thomas Arsouze, Pierre-Antoine Bretonnière, Louis-Philippe Caron, Miguel Castrillo, Rubén Cruz-García, Ivana Cvijanovic, Francisco Javier Doblas-Reyes, Markus Donat, Emanuel Dutra, Pablo Echevarría, An-Chi Ho, Saskia Loosveldt-Tomas, Eduardo Moreno-Chamarro, Núria Pérez-Zanon, Arthur Ramos, Yohan Ruprich-Robert, Valentina Sicardi, Etienne Tourigny, and Javier Vegas-Regidor
                                    Earth Syst. Dynam., 12, 173–196, https://doi.org/10.5194/esd-12-173-2021, https://doi.org/10.5194/esd-12-173-2021, 2021
                                    Short summary
                                    Short summary
                                            
                                                This paper presents and evaluates a set of retrospective decadal predictions with the EC-Earth3 climate model. These experiments successfully predict past changes in surface air temperature but show poor predictive capacity in the subpolar North Atlantic, a well-known source region of decadal climate variability. The poor predictive capacity is linked to an initial shock affecting the Atlantic Ocean circulation, ultimately due to a suboptimal representation of the Labrador Sea density.
                                            
                                            
                                        Assaf Hochman, Sebastian Scher, Julian Quinting, Joaquim G. Pinto, and Gabriele Messori
                                    Earth Syst. Dynam., 12, 133–149, https://doi.org/10.5194/esd-12-133-2021, https://doi.org/10.5194/esd-12-133-2021, 2021
                                    Short summary
                                    Short summary
                                            
                                                Skillful forecasts of extreme weather events have a major socioeconomic relevance. Here, we compare two approaches to diagnose the predictability of eastern Mediterranean heat waves: one based on recent developments in dynamical systems theory and one leveraging numerical ensemble weather forecasts. We conclude that the former can be a useful and cost-efficient complement to conventional numerical forecasts for understanding the dynamics of eastern Mediterranean heat waves.
                                            
                                            
                                        Manuel Schlund, Axel Lauer, Pierre Gentine, Steven C. Sherwood, and Veronika Eyring
                                    Earth Syst. Dynam., 11, 1233–1258, https://doi.org/10.5194/esd-11-1233-2020, https://doi.org/10.5194/esd-11-1233-2020, 2020
                                    Short summary
                                    Short summary
                                            
                                                As an important measure of climate change, the Equilibrium Climate Sensitivity (ECS) describes the change in surface temperature after a doubling of the atmospheric CO2 concentration. Climate models from the Coupled Model Intercomparison Project (CMIP) show a wide range in ECS. Emergent constraints are a technique to reduce uncertainties in ECS with observational data. Emergent constraints developed with data from CMIP phase 5 show reduced skill and higher ECS ranges when applied to CMIP6 data.
                                            
                                            
                                        J. Isaac Miller and Kyungsik Nam
                                    Earth Syst. Dynam., 11, 1123–1132, https://doi.org/10.5194/esd-11-1123-2020, https://doi.org/10.5194/esd-11-1123-2020, 2020
                                    Short summary
                                    Short summary
                                            
                                                We augment an energy balance model with a novel measure of the oceans' multidecadal temperatures cycles to assess the contributions of model forcings and natural variability to the so-called hiatus in global warming. The model partially explains the recent slowdown and explains nearly all of the subsequent warming. The natural cycle suggests the possibility of a much longer hiatus over roughly 2023–2061.
                                            
                                            
                                        Christopher H. O'Reilly, Daniel J. Befort, and Antje Weisheimer
                                    Earth Syst. Dynam., 11, 1033–1049, https://doi.org/10.5194/esd-11-1033-2020, https://doi.org/10.5194/esd-11-1033-2020, 2020
                                    Short summary
                                    Short summary
                                            
                                                This study examines how the output of large single-model ensembles can be calibrated using observational data to provide improved future projections over Europe. Using an out-of-sample 
                                            
                                        imperfect modeltest, in which calibration techniques are applied to individual climate model realisations, these techniques are shown to generally improve the reliability of European climate projections for the next 40 years, particularly for regional surface temperature.
Lukas Brunner, Angeline G. Pendergrass, Flavio Lehner, Anna L. Merrifield, Ruth Lorenz, and Reto Knutti
                                    Earth Syst. Dynam., 11, 995–1012, https://doi.org/10.5194/esd-11-995-2020, https://doi.org/10.5194/esd-11-995-2020, 2020
                                    Short summary
                                    Short summary
                                            
                                                In this study, we weight climate models by their performance with respect to simulating aspects of historical climate and their degree of interdependence. Our method is found to increase projection skill and to correct for structurally similar models. The weighted end-of-century mean warming (2081–2100 relative to 1995–2014) is 3.7 °C with a likely (66 %) range of 3.1 to 4.6 °C for the strong climate change scenario SSP5-8.5; this is a reduction of 0.4 °C compared with the unweighted mean.
                                            
                                            
                                        Femke J. M. M. Nijsse, Peter M. Cox, and Mark S. Williamson
                                    Earth Syst. Dynam., 11, 737–750, https://doi.org/10.5194/esd-11-737-2020, https://doi.org/10.5194/esd-11-737-2020, 2020
                                    Short summary
                                    Short summary
                                            
                                                One of the key questions in climate science is how much more heating we will get for a given rise in carbon dioxide in the atmosphere. A new generation of models showed that this might be more than previously expected. Comparing the new models to observed temperature rise since 1970, we show that there is no need to revise the estimate upwards. Air pollution, whose effect on climate warming is poorly understood, stopped rising, allowing us to better constrain the greenhouse gas signal.
                                            
                                            
                                        Bastien François, Mathieu Vrac, Alex J. Cannon, Yoann Robin, and Denis Allard
                                    Earth Syst. Dynam., 11, 537–562, https://doi.org/10.5194/esd-11-537-2020, https://doi.org/10.5194/esd-11-537-2020, 2020
                                    Short summary
                                    Short summary
                                            
                                                Recently, multivariate bias correction (MBC) methods designed to adjust climate simulations have been proposed. However, they use different approaches, leading potentially to different results. Therefore, this study intends to intercompare four existing MBC methods to provide end users with aid in choosing such methods for their applications. To do so, a wide range of evaluation criteria have been used to assess the ability of MBC methods to correct statistical properties of climate models.
                                            
                                            
                                        Hideo Shiogama, Ryuichi Hirata, Tomoko Hasegawa, Shinichiro Fujimori, Noriko N. Ishizaki, Satoru Chatani, Masahiro Watanabe, Daniel Mitchell, and Y. T. Eunice Lo
                                    Earth Syst. Dynam., 11, 435–445, https://doi.org/10.5194/esd-11-435-2020, https://doi.org/10.5194/esd-11-435-2020, 2020
                                    Short summary
                                    Short summary
                                            
                                                Based on climate simulations, we suggested that historical warming increased chances of drought exceeding the severe 2015 event in equatorial Asia due to El Niño. The fire and fire emissions of CO2/PM2.5 will largely increase at 1.5 and 2 °C warming. If global warming reaches 3 °C, as is expected from the current mitigation policies, chances of fire and CO2/PM2.5 emissions exceeding the 2015 event become approximately 100 %. Future climate policy has to consider these climate change effects.
                                            
                                            
                                        Minchao Wu, Grigory Nikulin, Erik Kjellström, Danijel Belušić, Colin Jones, and David Lindstedt
                                    Earth Syst. Dynam., 11, 377–394, https://doi.org/10.5194/esd-11-377-2020, https://doi.org/10.5194/esd-11-377-2020, 2020
                                    Short summary
                                    Short summary
                                            
                                                Regional Climate Models constitute a downscaling tool to provide high-resolution data for impact and adaptation studies. However, there is no unique definition of the added value of downscaling as it depends on many factors. We investigate the impact of spatial resolution and model formulation on downscaled rainfall in Africa. Our results show that improvements in downscaled rainfall compared to the driving reanalysis are often related to model formulation and not always to higher resolution.
                                            
                                            
                                        James D. Annan and Julia C. Hargreaves
                                    Earth Syst. Dynam., 11, 347–356, https://doi.org/10.5194/esd-11-347-2020, https://doi.org/10.5194/esd-11-347-2020, 2020
                                    Short summary
                                    Short summary
                                            
                                                We explore the implicit assumptions that underlie many published probabilistic estimates of the equilibrium climate sensitivity – that is, the amount the climate will warm under a doubling of the atmospheric CO2 concentration. We demonstrate that many such estimates have made assumptions that would be difficult to justify and show how the calculations can be repeated in a more defensible manner. Our results show some significant differences from previous calculations.
                                            
                                            
                                        Stella Todzo, Adeline Bichet, and Arona Diedhiou
                                    Earth Syst. Dynam., 11, 319–328, https://doi.org/10.5194/esd-11-319-2020, https://doi.org/10.5194/esd-11-319-2020, 2020
                                    Short summary
                                    Short summary
                                            
                                                This study uses climate projections over West Africa to investigate the future changes in different aspects of its hydrological cycle. Over the 21st century, temperatures are expected to increase at a faster rate (+0.5 °C per decade) than the global average (+0.3 °C per decade), leading to an intensification of the hydrological cycle on average of +11 % per °C over the Sahel (more intense precipitation and longer dry spells) and +3 % per °C over the Guinea Coast (more intense precipitation).
                                            
                                            
                                        Olivier Champagne, Martin Leduc, Paulin Coulibaly, and M. Altaf Arain
                                    Earth Syst. Dynam., 11, 301–318, https://doi.org/10.5194/esd-11-301-2020, https://doi.org/10.5194/esd-11-301-2020, 2020
                                    Short summary
                                    Short summary
                                            
                                                Southern Ontario has seen more high flows in winter recently due to earlier snowmelt. We show that 10 mm of daily rain and temperature higher than 5 °C are necessary conditions to generate winter high flows in the historical period. These conditions are associated with high pressure on the east coast bringing warm and wet conditions from the south. In the future, as snowfall decreases, warm events will generate less high flows, while rainfall will become a greater high-flow contributor.
                                            
                                            
                                        Tímea Haszpra, Mátyás Herein, and Tamás Bódai
                                    Earth Syst. Dynam., 11, 267–280, https://doi.org/10.5194/esd-11-267-2020, https://doi.org/10.5194/esd-11-267-2020, 2020
                                    Short summary
                                    Short summary
                                            
                                                We investigate the changes in the ENSO phenomenon and the alterations of its precipitation-related teleconnections in the CESM-LE. To avoid the disadvantages of the subjective choices of traditional temporal methods, we use an ensemble-based snapshot framework providing instantaneous quantities computed over the ensemble dimension of the simulation. We find that ENSO teleconnections undergo considerable changes, and the ENSO amplitude remarkably increases by 2100.
                                            
                                            
                                        Robert Vautard, Geert Jan van Oldenborgh, Friederike E. L. Otto, Pascal Yiou, Hylke de Vries, Erik van Meijgaard, Andrew Stepek, Jean-Michel Soubeyroux, Sjoukje Philip, Sarah F. Kew, Cecilia Costella, Roop Singh, and Claudia Tebaldi
                                    Earth Syst. Dynam., 10, 271–286, https://doi.org/10.5194/esd-10-271-2019, https://doi.org/10.5194/esd-10-271-2019, 2019
                                    Short summary
                                    Short summary
                                            
                                                The effect of human activities on the probability of winter wind storms like the ones that occurred in Western Europe in January 2018 is analysed using multiple model ensembles. Despite a significant probability decline in observations, we find no significant change in probabilities due to human influence on climate so far. However, such extreme events are likely to be slightly more frequent in the future. The observed decrease in storminess is likely to be due to increasing roughness.
                                            
                                            
                                        Monica Ionita, Klaus Grosfeld, Patrick Scholz, Renate Treffeisen, and Gerrit Lohmann
                                    Earth Syst. Dynam., 10, 189–203, https://doi.org/10.5194/esd-10-189-2019, https://doi.org/10.5194/esd-10-189-2019, 2019
                                    Short summary
                                    Short summary
                                            
                                                Based on a simple statistical model we show that the September sea ice extent has a high predictive skill, up to 4 months ahead, based on previous months' oceanic and atmospheric conditions. Our statistical model skillfully captures the interannual variability of the September sea ice extent and could provide a valuable tool for identifying relevant regions and oceanic and atmospheric parameters that are important for the sea ice development in the Arctic.
                                            
                                            
                                        Gab Abramowitz, Nadja Herger, Ethan Gutmann, Dorit Hammerling, Reto Knutti, Martin Leduc, Ruth Lorenz, Robert Pincus, and Gavin A. Schmidt
                                    Earth Syst. Dynam., 10, 91–105, https://doi.org/10.5194/esd-10-91-2019, https://doi.org/10.5194/esd-10-91-2019, 2019
                                    Short summary
                                    Short summary
                                            
                                                Best estimates of future climate projections typically rely on a range of climate models from different international research institutions. However, it is unclear how independent these different estimates are, and, for example, the degree to which their agreement implies robustness. This work presents a review of the varied and disparate attempts to quantify and address model dependence within multi-model climate projection ensembles.
                                            
                                            
                                        Nicole S. Lovenduski, Stephen G. Yeager, Keith Lindsay, and Matthew C. Long
                                    Earth Syst. Dynam., 10, 45–57, https://doi.org/10.5194/esd-10-45-2019, https://doi.org/10.5194/esd-10-45-2019, 2019
                                    Short summary
                                    Short summary
                                            
                                                This paper shows that the absorption of carbon dioxide by the ocean is predictable several years in advance. This is important because fossil-fuel-derived carbon dioxide is largely responsible for anthropogenic global warming and because carbon dioxide emission management and global carbon cycle budgeting exercises can benefit from foreknowledge of ocean carbon absorption. The promising results from this new forecast system justify the need for additional oceanic observations.
                                            
                                            
                                        Femke J. M. M. Nijsse and Henk A. Dijkstra
                                    Earth Syst. Dynam., 9, 999–1012, https://doi.org/10.5194/esd-9-999-2018, https://doi.org/10.5194/esd-9-999-2018, 2018
                                    Short summary
                                    Short summary
                                            
                                                State-of-the-art climate models sometimes differ in their prediction of key aspects of climate change. The technique of 
                                            
                                        emergent constraintsuses observations of current climate to improve those predictions, using relationships between different climate models. Our paper first classifies the different uses of the technique, and continues with proposing a mathematical justification for their use. We also highlight when the application of emergent constraints might give biased predictions.
Bo Huang, Ulrich Cubasch, and Christopher Kadow
                                    Earth Syst. Dynam., 9, 985–997, https://doi.org/10.5194/esd-9-985-2018, https://doi.org/10.5194/esd-9-985-2018, 2018
                                    Short summary
                                    Short summary
                                            
                                                We find that CMIP5 models show more significant improvement in predicting zonal winds with initialisation than without initialisation based on the knowledge that zonal wind indices can be used as potential predictors for the EASM. Given the initial conditions, two models improve the seasonal prediction skill of the EASM, while one model decreases it. The models have different responses to initialisation due to their ability to depict the EASM–ESNO coupled mode.
                                            
                                            
                                        Sebastian Illing, Christopher Kadow, Holger Pohlmann, and Claudia Timmreck
                                    Earth Syst. Dynam., 9, 701–715, https://doi.org/10.5194/esd-9-701-2018, https://doi.org/10.5194/esd-9-701-2018, 2018
                            Jiawei Liu, Haiming Xu, and Jiechun Deng
                                    Earth Syst. Dynam., 9, 427–439, https://doi.org/10.5194/esd-9-427-2018, https://doi.org/10.5194/esd-9-427-2018, 2018
                                    Short summary
                                    Short summary
                                            
                                                A novel method based on 
                                            
                                        present–futurerelationship in observed climate and model-simulated future climate is applied to give more reliable projections of East Asian summer monsoon intensity and associated precipitation changes at 1.5 and 2 °C warming levels. Projected future changes suggest decreased precipitation over the Meiyu belt and increased precipitation over the high latitudes of East Asia and central China, together with a considerable weakening of EASM intensity.
Michael Wehner, Dáithí Stone, Dann Mitchell, Hideo Shiogama, Erich Fischer, Lise S. Graff, Viatcheslav V. Kharin, Ludwig Lierhammer, Benjamin Sanderson, and Harinarayan Krishnan
                                    Earth Syst. Dynam., 9, 299–311, https://doi.org/10.5194/esd-9-299-2018, https://doi.org/10.5194/esd-9-299-2018, 2018
                                    Short summary
                                    Short summary
                                            
                                                The United Nations Framework Convention on Climate Change challenged the scientific community to describe the impacts of stabilizing the global temperature at its 21st Conference of Parties. A specific target of 1.5 °C above preindustrial levels had not been seriously considered by the climate modeling community prior to the Paris Agreement. This paper analyzes heat waves in simulations designed for this target. We find there are reductions in extreme temperature compared to a 2 °C target.
                                            
                                            
                                        Peter Greve, Lukas Gudmundsson, and Sonia I. Seneviratne
                                    Earth Syst. Dynam., 9, 227–240, https://doi.org/10.5194/esd-9-227-2018, https://doi.org/10.5194/esd-9-227-2018, 2018
                                    Short summary
                                    Short summary
                                            
                                                Assessing projected hydroclimatological changes is crucial, but associated with large uncertainties. We statistically assess here the response of precipitation and water availability to global temperature change, enabling us to estimate the significance of drying/wetting tendencies under anthropogenic climate change. We further show that opting for a 1.5 K warming target just slightly influences the mean response but could substantially reduce the risk of experiencing extreme changes.
                                            
                                            
                                        Dana Ehlert and Kirsten Zickfeld
                                    Earth Syst. Dynam., 9, 197–210, https://doi.org/10.5194/esd-9-197-2018, https://doi.org/10.5194/esd-9-197-2018, 2018
                                    Short summary
                                    Short summary
                                            
                                                This study uses a global climate model to explore the extent to which sea level rise due to thermal expansion of the ocean is reversible if the atmospheric concentration of carbon dioxide (CO2) declines. It is found that sea level continues to rise for several decades after atmospheric CO2 starts to decline and does not return to the pre-industrial level for over thousand years after atmospheric CO2 is restored to the pre-industrial concentration.
                                            
                                            
                                        Michael F. Wehner, Kevin A. Reed, Burlen Loring, Dáithí Stone, and Harinarayan Krishnan
                                    Earth Syst. Dynam., 9, 187–195, https://doi.org/10.5194/esd-9-187-2018, https://doi.org/10.5194/esd-9-187-2018, 2018
                                    Short summary
                                    Short summary
                                            
                                                The United Nations Framework Convention on Climate Change invited the scientific community to explore the impacts of a world in which anthropogenic global warming is stabilized at only 1.5 °C above preindustrial average temperatures. We present a projection of future tropical cyclone statistics for both 1.5 and 2.0 °C stabilized warming scenarios using a high-resolution global climate model. We find more frequent and intense tropical cyclones, but a reduction in weaker storms.
                                            
                                            
                                        Nadja Herger, Gab Abramowitz, Reto Knutti, Oliver Angélil, Karsten Lehmann, and Benjamin M. Sanderson
                                    Earth Syst. Dynam., 9, 135–151, https://doi.org/10.5194/esd-9-135-2018, https://doi.org/10.5194/esd-9-135-2018, 2018
                                    Short summary
                                    Short summary
                                            
                                                Users presented with large multi-model ensembles commonly use the equally weighted model mean as a best estimate, ignoring the issue of near replication of some climate models. We present an efficient and flexible tool that finds a subset of models with improved mean performance compared to the multi-model mean while at the same time maintaining the spread and addressing the problem of model interdependence. Out-of-sample skill and reliability are demonstrated using model-as-truth experiments.
                                            
                                            
                                        Maida Zahid, Richard Blender, Valerio Lucarini, and Maria Caterina Bramati
                                    Earth Syst. Dynam., 8, 1263–1278, https://doi.org/10.5194/esd-8-1263-2017, https://doi.org/10.5194/esd-8-1263-2017, 2017
                                    Short summary
                                    Short summary
                                            
                                                The southern part of Pakistan (Sindh province) has been exposed to frequent and intense temperature extremes recently and is highly vulnerable to their impacts due to lack of information on recurrence of extremes. In this paper for the first time we estimated the return levels of daily maximum temperatures and daily maximum wet-bulb temperatures over the different return periods in Sindh, which would help the local administrations to prioritize the regions in terms of adaptations.
                                            
                                            
                                        James D. Annan and Julia C. Hargreaves
                                    Earth Syst. Dynam., 8, 211–224, https://doi.org/10.5194/esd-8-211-2017, https://doi.org/10.5194/esd-8-211-2017, 2017
                                    Short summary
                                    Short summary
                                            
                                                The concept of independence has been frequently raised in climate science, but has rarely been defined and discussed in a theoretically robust and quantifiable manner. Improved understanding of this topic is critical to better understanding of climate change. In this paper, we introduce a unifying approach based on the statistical definition of independence, and illustrate with simple examples how it can be applied to practical questions.
                                            
                                            
                                        Cited articles
                        
                        Ammann, C. M. and Wahl, E. R.: The importance of the geophysical context in statistical evaluations of climate reconstruction procedures, Climatic Change, 85, 71–88, https://doi.org/10.1007/s10584-007-9276-x, 2007.
                    
                
                        
                        Baillie, R. T. and Chung, S.-K.: Modeling and forecasting from trend-stationary long memory models with applications to climatology, Int. J. Forecast., 18, 215–226, 2002a.
                    
                
                        
                        Baillie, R. T. and Chung, S.-K.: Modeling and forecasting from trend-stationary long memory models with applications to climatology, Int. J. Forecast., 18, 215–226, 2002b.
                    
                
                        
                        Biagini, F., Hu, Y., Øksendal, B., and Zhang, T.: Stochastic Calculus for Fractional Brownian Motion and Applications, Springer-Verlag, London, 2008.
                    
                
                        
                        Blender, R., Fraedrich, K., and Hunt, B.: Millennial climate variability: GCM-simulation and Greenland ice cores, Geophys. Res. Lett., 33, L04710, https://doi.org/10.1029/2005GL024919, 2006.
                    
                
                        
                        Bryson, R. A.: The Paradigm of Climatology: An Essay, B. Am. Meteorol. Soc., 78, 450–456, 1997.
                    
                
                        
                        Dijkstra, H.: Nonlinear Climate Dynamics, Cambridge University Press, Cambridge, 357 pp., 2013.
                    
                
                        
                        Doblas-Reyes, F. J., Andreu-Burillo, I., Chikamoto, Y., García-Serrano, J., Guemas, V., Kimoto, M., Mochizuki, T., Rodrigues, L. R. L., and van Oldenborgh, G. J.: Initialized near-term regional climate change prediction, Nat. Commun., 2704, 1–9, https://doi.org/10.1038/ncomms2704, 2013.
                    
                
                        
                        Frank, D. C., Esper, J., Raible, C. C., Buntgen, U., Trouet, V., Stocker, B., and Joos, F.: Ensemble reconstruction constraints on the global carbon cycle sensitivity to climate, Nature, 46, 527–530, https://doi.org/10.1038/nature08769, 2010.
                    
                
                        
                        Franzke, C.: Nonlinear trends, long-range dependence and climate noise properties of temperature, J. Climate, 25, 4172–4183, https://doi.org/10.1175/JCLI-D-11-00293.1, 2012.
                    
                
                        
                        García-Serrano, J. and Doblas-Reyes, F. J.: On the assessment of near-surface global temperature and North Atlantic multi-decadal variability in the ENSEMBLES decadal hindcast, Clim. Dynam., 39, 2025–2040, https://doi.org/10.1007/s00382-012-1413-1, 2012.
                    
                
                        
                        Gripenberg, G. and Norros, I.: On the Prediction of Fractional Brownian Motion, J. Appl. Prob., 33, 400–410, 1996.
                    
                
                        
                        Haar, A.: Zur Theorie des orthogonalen Funktionsysteme, Mathemat. Annal., 69, 331–371, 1910.
                    
                
                        
                        Hasselmann, K.: Stochastic Climate models, part I: Theory, Tellus, 28, 473–485, 1976.
                    
                
                        
                        Hirchoren, G. A. and Arantes, D. S.: Predictors For The Discrete Time Fractional Gaussian Processes, in: ITS '98 Proceedings, SBT/IEEE International Telecommunications Symposium, Sao Paulo, 49–53, 1998.
                    
                
                        
                        Hirchoren, G. A. and D'attellis, C. E.: Estimation Of Fractal Signals, Using Wavelets And Filter Banks, IEEE T. Signal Proc., 46, 1624–1630, 1998.
                    
                
                        
                        Huang, S.: Merging Information from Different Resources for New Insights into Climate Change in the Past and Future, Geophys.Res, Lett., 31, L13205, https://doi.org/10.1029/2004GL019781, 2004.
                    
                
                        
                        Huybers, P. and Curry, W.:, Links between annual, Milankovitch and continuum temperature variability, Nature, 441, 329–332, https://doi.org/10.1038/nature04745, 2006.
                    
                
                        
                        Kolesnikov, V. N. and Monin, A. S.: Spectra of meteorological field fluctuations, Izvest. Atmos. Ocean. Phys., 1, 653–669, 1965.
                    
                
                        
                        Kolmogorov, A. N.: Wienersche spiralen und einige andere interessante kurven im Hilbertschen Raum, Doklady Academii Nauk, 26, 115–118, 1940.
                    
                
                        
                        Koscielny-Bunde, E., Bunde, A., Havlin, S., Roman, H. E., Goldreich, Y., and Schellnhuber, H. J.: Indication of a universal persistence law governing atmospheric variability, Phys. Rev. Lett., 81, 729–732, 1998.
                    
                
                        
                        Laepple, T., Jewson, S., and Coughlin, K.: Interannual temperature predictions using the CMIP3 multi-model ensemble mean, Geophys. Res. Lett., 35, L10701, https://doi.org/10.1029/2008GL033576, 2008.
                    
                
                        
                        Livina, V. N., Lohmann, G., Mudelsee, M., and Lenton, T. M.: Forecasting the underlying potential governing the time series of a dynamical system, Physica A, 392, 3891–3902, https://doi.org/10.1016/j.physa.2013.04.036, 2013.
                    
                
                        
                        Lovejoy, S.: What is climate?, EOS, 94, 1–2, 2013.
                    
                
                        
                        Lovejoy, S.: Return periods of global climate fluctuations and the pause, Geophys. Res. Lett., 41, 4704–4710, https://doi.org/10.1002/2014GL060478, 2014a.
                    
                
                        
                        Lovejoy, S.: Scaling fluctuation analysis and statistical hypothesis testing of anthropogenic warming, Clim. Dynam., 42, 2339–2351, https://doi.org/10.1007/s00382-014-2128-2, 2014b.
                    
                
                        
                        Lovejoy, S.: Using scaling for macroweather forecasting including the pause, Geophys. Res. Lett., 41, 4704–4710, https://doi.org/10.1002/2014GL060478, 2015b.
                    
                
                        
                        Lovejoy, S. and de Lima, M. I. P.: The joint space-time statistics of macroweather precipitation and space-time factorization, Chaos, 25, 075410, https://doi.org/10.1063/1.4927223, 2015.
                    
                
                        
                        Lovejoy, S. and Schertzer, D.: Scale invariance in climatological temperatures and the local spectral plateau, Ann. Geophys., 4B, 401–410, 1986.
                    
                
                        
                        Lovejoy, S. and Schertzer, D.: Towards a new synthesis for atmospheric dynamics: space-time cascades, Atmos. Res., 96, 1–52, https://doi.org/10.1016/j.atmosres.2010.01.004, 2010.
                    
                
                        
                        Lovejoy, S. and Schertzer, D.: Haar wavelets, fluctuations and structure functions: convenient choices for geophysics, Nonlin. Processes Geophys., 19, 513–527, https://doi.org/10.5194/npg-19-513-2012, 2012a.
                    
                
                        
                        Lovejoy, S. and Schertzer, D.: Low frequency weather and the emergence of the Climate, in: Extreme Events and Natural Hazards: The Complexity Perspective, edited by: Sharma, A. S., Bunde, A., Baker, D. N., and Dimri, V. P., AGU monographs, American Geophysical Union, Washington D.C., 231–254, 2012b.
                    
                
                        
                        Lovejoy, S. and Schertzer, D.: The Weather and Climate: Emergent Laws and Multifractal Cascades, Cambridge University Press, Cambridge, 496 pp., 2013.
                    
                
                        
                        Lovejoy, S., Scherter, D., and Varon, D.: How scaling fluctuation analyses change our view of the climate and its models (Reply to R. Pielke sr.: Interactive comment on "Do GCM's predict the climate\ldots or macroweather?" by S. Lovejoy et al.), Earth Syst. Dynam. Discuss., 3, C1–C12, 2013a.
                    
                
                        
                        Lovejoy, S., Schertzer, D., and Varon, D.: Do GCM's predict the climate \ldots or macroweather?, Earth Syst. Dynam., 4, 1–16, https://doi.org/10.5194/esd-4-1-2013, 2013b.
                    
                
                        
                        Lovejoy, S., Muller, J. P., and Boisvert, J. P.: On Mars too, expect macroweather, Geophys. Res. Lett., 41, 7694–7700, https://doi.org/10.1002/2014GL061861, 2014.
                    
                
                        
                        Mandelbrot, B. B.: Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier, J. Fluid Mech., 62, 331–350, 1974.
                    
                
                        
                        Mandelbrot, B. B. and Van Ness, J. W.: Fractional Brownian motions, fractional noises and applications, SIAM Review, 10, 422–450, 1968.
                    
                
                        
                        Moberg, A., Sonnechkin, D. M., Holmgren, K., Datsenko, N. M., and Karlén W.: Highly variable Northern Hemisphere temperatures reconstructed from low- and high-resolution proxy data, Nature, 433, 613–617, 2005.
                    
                
                        
                        Newman, M.: An Empirical Benchmark for Decadal Forecasts of Global Surface Temperature Anomalies, J. Climate, 26, 5260–5269, https://doi.org/10.1175/JCLI-D-12-00590.1, 2013.
                    
                
                        
                        Newman, M. P., Sardeshmukh, P. D., and Whitaker, J. S.: A study of subseasonal predictability, Mon. Weather Rev., 131, 1715–1732, 2003.
                    
                
                        
                        Novikov, E. A. and Stewart, R.:Intermittency of turbulence and spectrum of fluctuations in energy-disspation, Izv. Akad. Nauk. SSSR. Ser. Geofiz., 3, 408–412, 1964.
                    
                
                        
                        Nuzman, C. J. and Poor, H. V.: Linear estimation of self-similar processes via Lamperti's transformation, J. Appl. Probab., 37, 429–452, 2000.
                    
                
                        
                        Panofsky, H. A. and Van der Hoven, I.: Spectra and cross-spectra of velocity components in the mesometeorlogical range, Q. J. Roy. Meteorol. Soc., 81, 603–606, 1955.
                    
                
                        
                        Papoulis, A.: Probability, Random Variables and Stochastic Processes, Mc Graw Hill, New York, 1965.
                    
                
                        
                        Penland, C. and Sardeshmuhk, P. D.: The optimal growth of tropical sea surface temperature anomalies, J. Climate, 8, 1999–2024, 1995.
                    
                
                        
                        Rypdal, K., Østvand, L., and Rypdal, M.: Long-range memory in Earth's surface temperature on time scales from months to centuries, J. Geophys. Res.-Atmos., 118, 7046–706, https://doi.org/10.1002/jgrd.50399, 2013.
                    
                
                        
                        Sardeshmukh, P. D. and Sura, P.: Reconciling non-gaussian climate statistics with linear dynamics, J. Climate, 22, 1193–1207, 2009.
                    
                
                        
                        Schertzer, D. and Lovejoy, S.: Physical modeling and Analysis of Rain and Clouds by Anisotropic Scaling of Multiplicative Processes, J. Geophys. Res., 92, 9693–9714, 1987.
                    
                
                        
                        Smith, D. M., Cusack, S., Colman, A. W., Folland, C. K., Harris, G. R., and Murphy, J. M.: Improved Surface Temperature Prediction for the Coming Decade from a Global Climate Model, Science, 317, 796–799, 2007.
                    
                
                        
                        Vallis, G.: Mechanisms of climate variaiblity from years to decades, in: Stochastic Physics and Climate Modelliing, edited by: Palmer, P. W. T., Cambridge University Press, Cambridge, 1–34, 2010.
                    
                
                        
                        Van der Hoven, I.: Power spectrum of horizontal wind speed in the frequency range from 0.0007 to 900 cycles per hour, J. Meteorol., 14, 160–164, 1957.
                    
                
                        
                        Yaglom, A. M.: Coprrelation theory of processes with random stationary nths increments (Russian) – English translation: Amer. Math. Soc. Trans. Ser., 8, 87–141, Mat. Sb. N.S., 37, 141–196, 1955.
                    
                
                        
                        Yaglom, A. M.: The influence on the fluctuation in energy dissipation on the shape of turbulent characteristics in the inertial interval, Sov. Phys. Dokl., 2, 26–30, 1966.
                    
                
                        
                        Yuan, N., Fu, Z., and Liu, S.: Extracting climate memory using Fractional Integrated Statistical Model: A new perspective on climate prediction, Nat. Scient. Rep., 4, 6577, https://doi.org/10.1038/srep06577, 2014.
                    
                Short summary
                    Numerical climate models forecast the weather well beyond the deterministic limit. In this “macroweather” regime, they are random number generators. Stochastic models can have more realistic noises and can be forced to converge to the real-world climate. Existing stochastic models do not exploit the very long atmospheric and oceanic memories. With skill up to decades, our new ScaLIng Macroweather Model (SLIMM) exploits this to make forecasts more accurate than GCMs.
                    Numerical climate models forecast the weather well beyond the deterministic limit. In this...
                    
                Altmetrics
                
                Final-revised paper
            
            
                    Preprint