The main topics of his research are: 1. From celestial mechanics to climate modelling A. Berger is particularly known for his research on the astronomical theory of paleoclimates, the so-called Milankovitch theory (1,2). It is as early as in the late 1960s that he approached this problem along three directions: the accuracy of the astronomical solution of the planetary system, the calculation of the insolation (incoming solar radiation) available at the top of the atmosphere and the modelling of climatic variations. He is one of the few scientists to have been able to master the full multidisciplinary aspect of such a global approach. 2. A new solution for long-term variations of the astronomical parameters The long-term variations of the astronomical parameters of insolation that he calculated in the early 1970s (3,5) has rapidly been internationally used, being given the accuracy requested for paleoclimatic studies over the last one million years (the quality of this solution allows its use worldwide since more than 35 years). The improvements that he has introduced in the 80s (6) have extended its validity over the last few millions of years and have stimulated new research and developments. Solutions elaborated by astronomers in France and Canada in the early 1990s and valid over tens of millions of years have confirmed the accuracy of the Berger's calculation (7). 3. Theoretical spectra of astronomical parameters and the double precession period The theoretical work of André Berger led him to build original analytical developments of both the astronomical parameters (eccentricity, obliquity and climatic precession) and the insolation (8). These developments provide for the paleoclimatologists an easy and accurate way to compute the numerical values requested for either the calibration of their time scale or modelling the climate variations over the Quaternary. Moreover, they gave, for the first time in the 1970s, the list of all the frequencies which characterize the long-term behaviour of the astronomical parameters and their origin, both necessary to understand the spectrum of the geological data and the results of paleoclimate simulations. In addition to the known periods of 40 ka for obliquity and 21 ka for climatic precession, André Berger has shown off 2 the existence of periods of 400 ka, 125 ka, 95 ka and 100 ka for eccentricity, 54 ka for obliquity and 23 ka and 19 ka for precession (4). He has indeed demonstrated the splitting of the 21 ka precessional period into periods close to 23 ka and 19 ka. It is precisely the existence of these two frequency components, found also in the geological data by Hays, Imbrie and Shackleton in 1975, which according to John Imbrie has constituted "the first most delicate and impressive of all tests for the astronomical theory". 4. Spectra of geological records and the astronomical clock The astronomical frequencies predicted by André Berger (4) were more and more found in paleoclimate data (9,10). These findings and the accuracy of the astronomical parameters help to calibrate the time scale of geological records, to improve its accuracy and refine it significantly. It is such astronomical solution which has led Shackleton et al. (11) and Hilgen et al. (12) in the early 90s to age the currently adopted dates for the paleomagnetic polarity reversals over the last few millions of years, this new time scale having been confirmed by independent dating using radiometric techniques. 5. Origin and instability of the astronomical periods The series expansions have allowed André Berger to demonstrate the links between the periods of the three parameters (13); for example, the 19 ka and the 23 ka periods lead to all the eccentricity periods close to 400 ka and 100 ka. A detailed analysis of the instability of the main astronomical periods (14) and of the frequency and amplitude modulations of their variations (15) has allowed, in particular, to trace the origin of the astronomical 100 ka periods (16) and to show: (i) for the eccentricity, the alternation of the predominance of the 400 ka and of the 100 ka periods with time, the weakening of the 100 ka period at the beginning of the last one million years at a time where it becomes important in the geological record, the shortening, at the transition between two 400 ka periods, of the 100 ka period with a weak amplitude, and the presence of periods longer than one million years; (ii) for the climatic precession, a weak amplitude with a short period at the 400 ka time scale of eccentricity and of a longer period in the spectral band of 100 ka; (iii) for obliquity, a large amplitude with a short period in the 1.3 Ma period and a longer period in the 170 ka cycle. 3 6. Geological calibration of the astronomical solution Contrary to the calibration of the geological time scale from the astronomical one over the last few millions of years, climatic variations over the last tens of millions of years are used now to improve the calculation of the astronomical parameters. This approach, already recommended by André Berger, André Deprit and Pierre Bretagnon in 1982 at the symposium organised at the Lamont Doherty Geological Observatory, has been used by Nicholas Shackleton and Fred Hilgen in the early 1990s. 7. Pre-Quaternary astronomical frequencies This astronomical theory is not only valid for the Quaternary, but also for more remote times of the past (tens to hundreds of millions of years). This is why André Berger and his colleagues (17,18) have calculated the impact of the very long-term variation of the elements of the Earth-Moon system and of the Earth's rotation on the frequencies, amplitudes and phases of the astronomical parameters. The shortening of the periods that they have predicted has been confirmed by Alfred Fisher from paleoclimate data of the Cretaceous. 8. Daily insolation In addition to improving the accuracy of the astronomical elements, he has also extended the Milankovitch theory. Trained in meteorology, he was aware of the importance of the daily irradiation for simulating climate with models based on first principles. He introduced and computed the long-term variations of daily, monthly and seasonal insolations (8) which he has provided the users with easy manageable formula (all his calculations became public domain which is undoubtedly affecting his citation index). He showed that contrary to the caloric season insolations (19) of Milankovitch, (i) daily insolation varies with a much larger amplitude reaching, for example, 20 % over 10,000 years at 65°N in June 115,000 years ago (8) and (ii) that the spectral structure of his insolation parameters is much more diverse (21). 4 He has also demonstrated taht cycles of 100 ka, 11 ka and 5.5 ka are really present in the equatorial insolation in response to the double culmination of the Sun over a year in these regions (22). He has also calculated rigorously the total irradiation available over any given period during the year (23) allowing an easy and accurate way to compute the energy received from the Sun, including in high polar latitudes where the Milankovitch developments are not convergent 9. One of the very first EMICs Aware of the importance of a rigorous and adequate modeling for better understanding climatic variations, André Berger has created in the 80s a multi-disciplinary modeling group. Their LLN coupled atmosphere-ocean-sea ice-inlandsis-carbon cycle model (24) has allowed them to make the first simulation, ever succeeded, of the transient response of the climate system to the astronomical forcing over the last glacial-interglacial cycles (25,26) based on first principles and in agreement with the geological records This model was particularly successful in simulating the entrance into glaciation around 2.7 Myr BP (27), the late Pliocene-early Pleistocene 41-kyr cycle and its transition towards the 100-kyr cycle around 900 kyr BP (28,29), the glacial-interglacial cycles of the middle and late Pleistocene (30) and the necessity of a high greenhouse gas concentration to make the climates of 400 ka ago (isotopic stage 11) and of to-day (Holocene) full interglacials (31). . This type of models – presently popularised as Earth System Models of Intermediate Complexity by Martin Claussen and colleagues (32) – is now recognized to be a key link between the general circulation models and the more simple models for understanding the long-term climatic variations. This LLN model was also used as an instrument for training scientists and is at the origin of the development of more complex general circulation models in Louvain-la-Neuve. 10. Our exceptionally long interglacial André Berger was the first to claim that our interglacial might be much longer than the others (contrary to what was generally thought) because of the atypical almost circular shape that the Earth’s orbit is approaching now (33). Climate modelling experiments that he made with his team confirms that our climate would remain interglacial for the next tens of thousands of years before entering the next ice age. This is particularly critical because the atmospheric CO2 concentration is presently exceptionally high as compared to the past (more than 1.5 times the average of the last 400,000 years). These results lead him to 5 forebode that the impact of man’s activities on climate might interfere with the climatic evolution at the geological time scale (34,35). The potential that André Berger’s work offers for analysing the range of such possible future climates is acknowledged, in particular in assessments of the climatic stability at the repository sites for nuclear wastes produced in atomic power plants, a study that André Berger has launched with a few others at the international scale, of the possible origin of human impacts on climate well before the last century (William Ruddiman hypothesis) and of the birth of the Anthropocene of Paul Crutzen. 11. Feedbacks and non-linearities in paleoclimate models The LLN model, being a compromise between scientific complexity and practical manageability, allows easily to test the sensitivity of the climate system to the different forcings. They have shown: - the importance of the long-term variations of insolation which alone can generate glacialinterglacial cycles (37) confirming that the variations of the astronomical parameters are a pacemaker of the Ice Ages. Such simulations using different constant atmospheric CO 2 concentrations lead them to suggest that there might be thresholds in the CO 2 values around which the sensitivity of climate to CO2 could be totally different, - that their model cannot generate any glacial-interglacial cycle in the ice volume using only a variable CO2 (38), - that non-linearities in the climate system are fundamental to generate, in response to insolation, the 100 ka (39) and other periods shorter than 10 ka (40), - the significant amplification by water vapour of the response of the climate system to both the astronomical and greenhouse gas forcings during the last glacial-interglacial cycle (41). - the fundamental role of the feedbacks between albedo and temperature (42), land surface cover and snow field albedo (43), sea-level and ice volume (44), isostatic rebound and inlandsis (45), continentality and altitude effects of the ice sheets and of snow properties (46). – the lag between insolation, ice volume and sea-surface temperature (47). They have also analysed: - the impact of the high frequency variations in insolation (48,49), 6 - the response of the climate system to the insolation forcing and to volcanic, solar and human activities over the last millennium (50,51) and the Holocene (52) - the climate evolution during the last deglaciation (53), - the importance of the 400 ka cycle, already pointed out by André Berger in 1989 during the IPCC meeting of Working Group I in Bath, for the isotopic stage 11 (34), the isotopic stage 19 (54), the present interglacial (55) and its future (56). Since 2005, André Berger has started with Qiuzhen Yin investigating: - the isotopic stage13 where they have shown a possible strengthening of the East Asian Summer monsoon by a wave train generated by the Eurasian ice sheet (57,58), - the interglacials of the last 800 ka, stressing the relative impact of insolation and greenhouse gas (54) and the role plaid by insolation in the explanation of the diversity of the interglacials. 12. Other works André Berger has also worked on air pollution modelling, data analysis and persistence theory. He published reviewer papers on nuclear winter (59), desertification, deforestation, human impacts on climate (60,61) and climate variations over the Earth history (62). 13. Training and diffusion of knowledge André Berger contributes also significantly to the training of research scientists, to the stimulation of a multi- and inter-disciplinary approach of the environmental problems, to international collaboration and to the diffusion of environmental science through the public at large. He is deeply convinced that one of the actions towards improving the environment protection and insuring a sustainable development is teaching and education in environmental sciences from primary schools to the University. Media and cultural associations appreciate his syntheses and critical reviews of environmental issues, as well as of the history and evolution of climate that he explains in clear but responsible terms. 7 REFERENCES 1. BERGER, A., 1988. Milankovitch Theory and Climate. Review of Geophysics, 26(4), pp. 624-657. 2. BERGER, A., 1989. Théorie astronomique des paléoclimats (en chinois). Chinese Translation, Bulletin of Glaciology and Geocryology, 6(2), pp. 79-80. 3. BERGER, A., 1976. Obliquity and general precession for the last 5 000 000 years, Astronomy and Astrophysics, 51, 127-135. 4. BERGER, A., 1977. Support for the astronomical theory of climatic change. Nature, 268, 44-45. 5. BERGER, A., 1977. Long-term variations of the ecliptical elements. Celestial echanics, 15, 53-74. 6. BERGER A., LOUTRE M.F., 1991. Insolation values for the climate of the last 10 million years. Quaternary Science Reviews, 10 n°4, pp. 297-317. 7. BERGER A., LOUTRE M.F., 1992. Astronomical solutions for paleoclimate studies over the last 3 million years. Earth and Planetary Science Letters, 111, pp. 369-382. 8. BERGER, A., 1978. Long-term variations of daily insolation and Quaternary Climatic Changes. Journal of Atmospheric Science, 35(12), 2362-2367. 9. BERGER, A., 1989. Pleistocene climatic variability at astronomical frequencies. Quaternary International, 2, pp. 1-14. 10. HOOGHIEMSTRA H., MELICE J.L., BERGER A., SHACKLETON N.J., 1993. Frequency spectra and paleoclimatic variability of the high resolution 30-1450 kyr FUNZA 1 pollen record (eastern Cordillera, Colombia). Quaternary Science Reviews, 12 n°2, pp. 141-156. 11. SHACKLETON N.J., BERGER A., PELTIER W.R., 1990. An alternative astronomical calibration of the lower Pleistocene time scale based on ODP site 677. Phil. Transactions of the Royal Society of Edinburgh: Earth Sciences, vol. 81 part 4, pp. 251261. 12. HILGEN, F.J., LOURENS L.J., BERGER A., LOUTRE M.F., 1993. Evaluation of the astronomically calibrated time scale for the late Pliocene-Earliest Pleistocene. Paleoceanogoraphy, 8(5), pp. 549-565. 13. BERGER A., LOUTRE M.F., 1990. Origine des fréquences des éléments astronomiques intervenant dans le calcul de l'insolation. Bulletin Sciences, 1-3/90, pp. 45-106, Académie Royale des Sciences, des Lettres et des Beaux-Arts de Belgique. 14. BERGER A., LOUTRE M.F. and J.L. MELICE, 1998. Instability of the astronomical periods from 1.5 Myr BP to 0.5 Myr AP. Paleoclimates Data and Modelling, 2(4), pp. 239-280. 15. MELICE J.L., CORON A. and A. BERGER, 2001. Amplitude and frequency modulations of the Earth’s obliquity for the last million years. Journal of Climate, 14(6), pp. 1043-1054. 8 16. BERGER A., MELICE J.L. and M.F. LOUTRE, 2005. On the origin of the 100-kyr cycles in the astronomical forcing. Paleoceanography, 20(4), PA4019, DOI: 10.1029/2005PA001173. 17. BERGER, A., LOUTRE, M.F., DEHANT, V., 1989. Pre-Quaternary Milankovitch frequencies. Nature, 342, p. 133. 18. BERGER A., LOUTRE M.F., LASKAR J., 1992. Stability of the astronomical frequencies over the Earth's history for paleoclimate studies. Science, 255, pp. 560-566. 19. BERGER, A., 1978. Long-term variations of caloric insolation resulting from the Earth's orbital elements. Quaternary Research, 9, 139-167. 20. BERGER, A., 1976. Long term variations of daily and monthly insolation during the Last Ice Age. EOS, 57(4), p.254. 21. BERGER A., LOUTRE M.F., and TRICOT Ch., 1993. Insolation and Earth's orbital periods. J. Geophys. Research, 98 n° D6, pp. 10,341-10,362. 22. BERGER A., LOUTRE M.F. and J.L. MELICE, 2006. Equatorial insolation: from precession harmonics to eccentricity frequencies. Climate of the Past, 2, pp. 131-136. 23. BERGER A., LOUTRE M.F. and Q.Z. YIN, 2010. Total irradiation during the interval of the year using elliptical integrals. Quaternary Science Reviews. 29, 1968-1982 24. GALLEE, H., van YPERSELE, J.P., FICHEFET, Th., TRICOT, Ch., BERGER, A., 1991. Simulation of the last glacial cycle by a coupled sectorially averaged climate - ice-sheet model. I. The Climate Model. J. Geophys. Res., 96, pp. 13,139-13,161 25. BERGER, A., GALLEE, H., FICHEFET, Th., MARSIAT, I., TRICOT, Ch., 1990. Testing the astronomical theory with a coupled climate-ice sheet model. in : L.D. Labeyrie and C. Jeandel (Eds), Geochemical variability in the Oceans, Ice and Sediments. Palaeogr., Palaeoclimatol., Palaeoecol., 89(1/2), Global and Planetary Change Section, 3(1/2), pp. 125-141. 26. GALLEE, H., van YPERSELE, J.P., FICHEFET, Th., MARSIAT, I., TRICOT, Ch., BERGER, A., 1992. Simulation of the last glacial cycle by a coupled, sectorially averaged climate ice-sheet model. II. Response to insolation and CO2 variation. J. Geophys. Res., 97 n°D14, pp. 15,713-15,740. 27. LI X.S., BERGER A., LOUTRE M.F., MASLIN M.A., HAUG G.H., and R. TIEDEMANN, 1998. Simulating late Pliocene Northern Hemisphere climate with the LLN 2-D model. Geophysical Research Letters, 25(6), pp. 915-918. 28. MASLIN M.A., LI X.S., LOUTRE M.F., and A. BERGER, 1998. The contribution of orbital forcing to the progressive intensification of Northern Hemisphere glaciation. Quat. Sci. Rev., 17, pp. 411-426. 29. BERGER A., LI X.S. and M.F. LOUTRE, 1999. Modelling northern hemisphere ice volume over the last 3 Ma. Quaternary Science Reviews, 18, pp. 1-11. 30. BERGER, A., FICHEFET, Th., GALLEE, H., TRICOT, Ch., van YPERSELE, J.P., 1992. Entering the glaciations with a 2-D coupled climate model. Quaternary Science Reviews, vol. 11 n°4, pp. 481-493. 31. LI X.S., BERGER A., and M.F. LOUTRE, 1998. CO2 and Northern Hemisphere ice volume variations over the middle and late Quaternary. Climate Dynamics, 14, pp. 537-544. 9 32. CLAUSSEN M., MYSAK L.A., WEAVER A.J., CRUCIFIX M., FICHEFET T., LOUTRE M.F., WEBER S.L., ALCAMO J., ALEXEEV V.A., BERGER A., CALOV R., GANOPOLSKI A., GOOSSE H., LOHMAN G., LUNKEIT F., MOKHOV I.I., PETOUKHOV V., STONE P., WANG Z., 2002. Earth system models of intermediate complexity : closing the gap in the spectrum of climate system models. Climate Dynamics, 18, pp. 579-586; DOI 10.1007/s00382-0010200-1. 33. BERGER A. and M.F. LOUTRE, 1996. Modeling the climate response to the astronomical and CO2 forcings. Comptes Rendus de l’Académie des Sciences de Paris, t. 323, série II a, pp. 1-16. 34. BERGER A. And M.F. LOUTRE, 2002. An Exceptionally long Interglacial Ahead ? Science, 297, pp. 1287-1288. 35. BERGER A., LOUTRE M.F. and M. CRUCIFIX, 2003. The Earth’s climate in the next hundred thousand years (100 kyr). Surveys in Geophysics, 24, pp. 117-138. 36. CRUCIFIX M. and A. BERGER, 2006. How long will our interglacial be? Transactions, AGU, 87(35), pp. 352-353. EOS, 37. BERGER A., LOUTRE M.F., and H. GALLEE, 1998. Sensitivity of the LLN climate model to the astronomical and CO2 forcings over the last 200 kyr. Climate Dynamics, 14, pp. 615629. 38. LOUTRE M.F. and A. BERGER, 2000. No glacial-interglacial cycle in the ice volume simulated under a constant astronomical forcing and a variable CO2. Geophysical Research Letters, 27(6), pp. 783-786. 39. IMBRIE J., BERGER A., BOYLE E.A., CLEMENS S.C., DUFFY A., HOWARD W.R., KUKLA G., KUTZBACH J., MARTINSON D.G., McINTYRE A., MIX A.C., MOLFINO B., MORLEY J.J, PETERSON L.C., PISIAS N.G., PRELL W.L., RAYMO M.E., SHACKLETON N.J., and J.R. TOGGWEILER, 1993. On the structure and origin of major glaciation cycles. 2. The 100,000-year cycle. Paleoceanography, 8(6), pp. 699-735. 40. PESTIAUX, P., DUPLESSY, J.Cl., VAN DER MERSCH, I., BERGER, A., 1988. Paleoclimatic variability at frequencies ranging from 1 cycle per 10,000 years to 1 cycle per 1,000 years : evidence for nonlinear behavior of the climate system. Climatic Change, 12(1), pp. 9-37. 41. BERGER A., TRICOT C., GALLEE H., and M.F. LOUTRE, 1993. Water vapour, CO2 and insolation over the last glacial-interglacial cycles. Philosophical Transactions of the Royal Society, London, B, 341, pp. 253-261. 42. BERGER, A., GALLEE, H., TRICOT, Ch., 1993. Glaciation and deglaciation mechanisms in a coupled 2-D climate - ice sheet model. J. of Glaciology, 39 n° 131, pp. 45-49. 43. BERGER A., 2001. The role of CO2, sea-level and vegetation during the Milankovitchforced glacial-interglacial cycles. In : « Geosphere-Biosphere Interactions and Climate », Lennart O. Bengtsson and Claus U. Hammer (eds), pp. 119-146, Cambridge University Press, New York. 44. MARSIAT, I., BERGER, A., 1990. On the relationship between ice volume and sea level over the last glacial cycle. Climate Dynamics, 4(2), 81-84. 45. CRUCIFIX M., LOUTRE M.F., LAMBECK K. and A. BERGER, 2001. Effect of isostatic rebound on modelled ice volume variations during the last 200 kyr. Earth and Planetary Science Letters, 184, pp. 623-633. 10 46. BERGER, A., FICHEFET, Th., GALLEE, H., MARSIAT, I., TRICOT, Ch., van Ypersele J.P., 1990. Physical interactions within a coupled climate model over the last glacialinterglacial cycle. Phil. Transactions of the Royal Society of Edinburgh : Earth Sciences, vol. 81 part 4, pp. 357-369. 47. BERGER, A., GALLEE, H., LI, X.S., DUTRIEUX, A., and M.F. LOUTRE, 1996. Ice-sheet growth and high latitudes sea-surface temperature. Climate Dynamics, 12, pp. 441-448. 48. LOUTRE M.F., BERGER A., BRETAGNON P., BLANC P.L., 1992. Astronomical frequencies for climate research at the decadal to century time scale. Climate Dynamics, 7, pp. 181194. 49. BERTRAND C., LOUTRE M.F. and A. BERGER, 2002. High frequency variations of the Earth's orbital parameters and climate change. Geophysical Research Letters, 29(18), 1893; DOI 10.1029/2002GL015622. 50. BERTRAND C., LOUTRE M.F., CRUCIFIX M. and A. BERGER, 2002. Climate of the Last Millenium : A sensitivity study. Tellus, 54A, pp. 221-244. 51. BERTRAND C., van YPERSELE J.P., and A. BERGER, 2002. Are natural climate forcings able to counteract the projected anthropogenic global warming ? Climatic Change, 55(4), pp. 413-427. 52. CRUCIFIX M., LOUTRE M.F., TULKENS Ph., FICHEFET T. and A. BERGER, 2002. Climate evolution during the Holocene : A study with an Earth system model of intermediate complexity. Climate Dynamics, 19, pp. 43-60; DOI 10.1007/s00382-001-0208-6. 53. CRUCIFIX M. and A. BERGER, 2002. Simulation of ocean-ice sheets interactions during the deglaciation. Paleoceanography, 17(4), 1054, DOI: 10.1029/2001PA000702 54. YIN Q.Z. and A. BERGER, 2010. Insolation and CO2 contribution to the interglacials before and after the Mid-Brunhes Event. Nature Geoscience, 3(4), pp. 243-246. 55. LOUTRE M.F. and A. BERGER, 2003. Marine Isotope Stage 11 as an analogue for the present interglacial. Global and Planetary Change, 36, pp. 209-217. DOI: 10.1016/S0921-8181(02)00186-8. 56. BERGER A. and M.F. LOUTRE, 2003. Climate 400,000 years ago, a key to the future ? In : Earth’s Climate and Orbital Eccentricity: The Marine Isotope Stage 11 Question. Geophysical Monograph 137, A. Droxler, L. Burckle and R. Poore (eds), American Geophysical Union, pp. 17-26. 57. BERGER A., 2009. Monsoon and general circulation system. Chinese Science Bulletin, 54(7), pp. 1111-1112. 58. YIN Q.Z., BERGER A., and M. CRUCIFIX, 2009. Individual and combined effects of ice sheets and precession on MIS-13 climate. Climate of the Past, 5, pp. 229-243. 59. BERGER, A., 1986. Nuclear winter or nuclear fall ? EOS, 67(32), pp. 617-621 60. BERGER A., 2005. Le réchauffement du climat au XXIe siècle : causes et conséquences. Bulletin de la Classe des Sciences, 6e série, Tome XVI, 7-12, Académie royale de Belgique, pp. 323-339. 61. BERGER A., 2009. Changement climatique, état des lieux. In: “Ethique et Changement Climatique”, O. Abel, E. Bard, A. Berger, J.M. Besnier, R. Guesnerie, M. Serres (eds), Le Pommier, Paris, pp. 17-57. 11 62. BERGER A., 2001. Le climat et ses variations depuis l’origine de la Terre. Une composante à l’évolution de la vie. In : L’Environnement de la Terre Primitive, M. Gargaud, D. Despois, J.P. Parisot (eds), pp. 131-162, Presses universitaires de Bordeaux, Pessac, France.