A long-term numerical solution for the insolation quantities of the Earth
TL;DR: In this article, a new solution for the astronomical computation of the insolation quantities on Earth spanning from −250 m to 250 m was presented, where the most regular components of the orbital solution could still be used over a much longer time span, which is why they provided here the solution over 250 m.
Abstract: We present here a new solution for the astronomical computation of the insolation quantities on Earth spanning from -250 Myr to 250 Myr. This solution has been improved with respect to La93 (Laskar et al. [CITE]) by using a direct integration of the gravitational equations for the orbital motion, and by improving the dissipative contributions, in particular in the evolution of the Earth–Moon System. The orbital solution has been used for the calibration of the Neogene period (Lourens et al. [CITE]), and is expected to be used for age calibrations of paleoclimatic data over 40 to 50 Myr, eventually over the full Palaeogene period (65 Myr) with caution. Beyond this time span, the chaotic evolution of the orbits prevents a precise determination of the Earth's motion. However, the most regular components of the orbital solution could still be used over a much longer time span, which is why we provide here the solution over 250 Myr. Over this time interval, the most striking feature of the obliquity solution, apart from a secular global increase due to tidal dissipation, is a strong decrease of about 0.38 degree in the next few millions of years, due to the crossing of the resonance (Laskar et al. [CITE]). For the calibration of the Mesozoic time scale (about 65 to 250 Myr), we propose to use the term of largest amplitude in the eccentricity, related to , with a fixed frequency of /yr, corresponding to a period of 405 000 yr. The uncertainty of this time scale over 100 Myr should be about , and over the full Mesozoic era.
Citations
More filters
TL;DR: Long-term sea level peaked at 100 ± 50 meters during the Cretaceous, implying that ocean-crust production rates were much lower than previously inferred, and presents a new sea-level record for the past 100 million years.
Abstract: We review Phanerozoic sea-level changes [543 million years ago (Ma) to the present] on various time scales and present a new sea-level record for the past 100 million years (My). Long-term sea level peaked at 100 ± 50 meters during the Cretaceous, implying that ocean-crust production rates were much lower than previously inferred. Sea level mirrors oxygen isotope variations, reflecting ice-volume change on the 10 4 - to 10 6 -year scale, but a link between oxygen isotope and sea level on the 10 7 -year scale must be due to temperature changes that we attribute to tectonically controlled carbon dioxide variations. Sea-level change has influenced phytoplankton evolution, ocean chemistry, and the loci of carbonate, organic carbon, and siliciclastic sediment burial. Over the past 100 My, sea-level changes reflect global climate evolution from a time of ephemeral Antarctic ice sheets (100 to 33 Ma), through a time of large ice sheets primarily in Antarctica (33 to 2.5 Ma), to a world with large Antarctic and large, variable Northern Hemisphere ice sheets (2.5 Ma to the present).
2,740 citations
TL;DR: The responses of the Northern and Southern Hemispheres differed significantly, which reveals how the evolution of specific ice sheets affected sea level and provides insight into how insolation controlled the deglaciation.
Abstract: We used 5704 14C, 10Be, and 3He ages that span the interval from 10,000 to 50,000 years ago (10 to 50 ka) to constrain the timing of the Last Glacial Maximum (LGM) in terms of global ice-sheet and mountain-glacier extent. Growth of the ice sheets to their maximum positions occurred between 33.0 and 26.5 ka in response to climate forcing from decreases in northern summer insolation, tropical Pacific sea surface temperatures, and atmospheric CO2. Nearly all ice sheets were at their LGM positions from 26.5 ka to 19 to 20 ka, corresponding to minima in these forcings. The onset of Northern Hemisphere deglaciation 19 to 20 ka was induced by an increase in northern summer insolation, providing the source for an abrupt rise in sea level. The onset of deglaciation of the West Antarctic Ice Sheet occurred between 14 and 15 ka, consistent with evidence that this was the primary source for an abrupt rise in sea level ~14.5 ka.
2,691 citations
TL;DR: GTS2012 as mentioned in this paper summarizes the international divisions and ages in the Geologic Time Scale, published in 2012, since 2004, when GTS2004 was detailed, major developments have taken place that directly bear and have considerable impact on the intricate science of geologic time scaling.
Abstract: This report summarizes the international divisions and ages in the Geologic Time Scale, published
in 2012 (GTS2012). Since 2004, when GTS2004 was detailed, major developments have taken place
that directly bear and have considerable impact on the intricate science of geologic time scaling. Precam brian
now has a detailed proposal for chronostratigraphic subdivision instead of an outdated and abstract chronometric
one. Of 100 chronostratigraphic units in the Phanerozoic 63 now have formal definitions, but stable
chronostratigraphy in part of upper Paleozoic, Triassic and Middle Jurassic/Lower Cretaceous is still wanting.
Detailed age calibration now exist between radiometric methods and orbital tuning, making 40Ar-39Ar dates
0.64% older and more accurate. In general, numeric uncertainty in the time scale, although complex and not
entirely amenable to objective analysis, is improved and reduced. Bases of Paleozoic, Mesozoic and Cenozoic
are bracketed by analytically precise ages, respectively 541 0.63, 252.16 0.5, and 65.95 0.05 Ma.
High-resolution, direct age-dates now exist for base-Carboniferous, base-Permian, base-Jurassic, base-Cenomanian
and base-Eocene. Relative to GTS2004, 26 of 100 time scale boundaries have changed age, of which
14 have changed more than 4 Ma, and 4 (in Middle to Late Triassic) between 6 and 12 Ma. There is much
higher stratigraphic resolution in Late Carboniferous, Jurassic, Cretaceous and Paleogene, and improved integration
with stable isotopes stratigraphy. Cenozoic and Cretaceous have a refined magneto-biochronology.
The spectacular outcrop sections for the Rosello Composite in Sicily, Italy and at Zumaia, Basque Province,
Spain encompass the Global Boundary Stratotype Sections and Points for two Pliocene and two Paleocene
stages. Since the cycle record indicates, to the best of our knowledge that the stages sediment fill is stratigraphically
complete, these sections also may fulfill the important role of stage unit stratotypes for three of
these stages, Piacenzian, Zanclean and Danian
1,892 citations
Cites background or methods from "A long-term numerical solution for ..."
...The sedimentary cycle pattern is tuned to the eccentricity time series of astronomical solutions La2004 (Laskar et al. 2004) and R7 (Varadi et al. 2003), following Kuiper et al. (2008), who used the astronomically calibrated age of 28.201 0.046 Ma for the FCs dating standard to recalculate single…...
[...]
...The sedimentary cycle pattern is tuned to the eccentricity time series of astronomical solutions La2004 (Laskar et al. 2004) and R7 (Varadi et al....
[...]
...On The Geologic Time Scale 181 0m 5 10 15 25 20 30 35 40 45 50 13 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 n92 C n82 C r72 C r82 C r92 C n72 C + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + sel d n u bE ytiral o P Lithologic column )a M ni( e g A 0.060 66.0 65.0 64.0 63.0 0.060 63.5 64.5 65.5 62.5 62.0 61.5 La2004Va03_R7 65.940 65.957 163 162 161 160 159 158 157 156 155 154 153 40 5- ky r c h ro n oz o n e D an ia n G SS P Se la n d ia n G SS P D an ia n U n it s tr at o ty p e Fig....
[...]
...The sedimentary cycle pattern is tuned to the eccentricity time series of astronomical solutions La2004 (Laskar et al. 2004) and R7 (Varadi et al. 2003), following Kuiper et al. (2008), who used the astronomically calibrated age of 28.201 0.046 Ma for the FCs dating standard to recalculate single crystal 40Ar/39Ar sanidine ages of ash layers intercalated directly above the K/Pg boundary in North America to constrain the tuning to the 405-kyr eccentricity cycle....
[...]
...The sedimentary cycle pattern is tuned to the eccentricity time series of astronomical solutions La2004 (Laskar et al. 2004) and R7 (Varadi et al. 2003)....
[...]
Oeschger Centre for Climate Change Research1, Swiss Federal Institute of Aquatic Science and Technology2, University of Edinburgh3, Free University of Berlin4, ETH Zurich5, Université catholique de Louvain6, École Polytechnique7, University of Bristol8, Russian Academy of Sciences9, University of Birmingham10
TL;DR: The authors used selected proxy-based reconstructions of different climate variables, together with state-of-the-art time series of natural forcings (orbital variations, solar activity variations, large tropical volcanic eruptions, land cover and greenhouse gases), underpinned by results from GCMs and Earth System Models of Intermediate Complexity (EMICs), to establish a comprehensive explanatory framework for climate changes from the mid-Holocene (MH) to pre-industrial time.
1,539 citations
Cites background from "A long-term numerical solution for ..."
...The theory of orbital forcing (often called Milankovitch theory) is unique in the sense that the orbital forcing is the only forcing that can be calculated precisely, not only for the past several million years, but also for the future (Berger, 1978; Laskar et al., 2004)....
[...]
...The changes were calculated for each latitudinal band of 10 degrees relative to its mean insolation for the last 6000 years (Laskar et al., 2004)....
[...]
[...]
01 Jan 2012
TL;DR: An Astronomically Tuned Neogene Time Scale (ATNTS2012) is presented in this article, as an update of ATNTS2004 in GTS2004, and the numerical ages are identical or almost so.
Abstract: An Astronomically Tuned Neogene Time Scale (ATNTS2012) is presented, as an update of ATNTS2004 in GTS2004. The new scale is not fundamentally different from its predecessor and the numerical ages are identical or almost so. Astronomical tuning has in principle the potential of generating a stable Neogene time scale as a function of the accuracy of the La2004 astronomical solution used for both scales. Minor problems remain in the tuning of the Lower Miocene. In GTS2012 we will summarize what has been modified or added since the publication of ATNTS2004 for incorporation in its successor, ATNTS2012. Mammal biostratigraphy and its chronology are elaborated, and the regional Neogene stages of the Paratethys and New Zealand are briefy discussed. To keep changes to ATNTS2004 transparent we maintain its subdivision into headings as much as possible.
1,479 citations
References
More filters
TL;DR: This work focuses primarily on the periodic and anomalous components of variability over the early portion of this era, as constrained by the latest generation of deep-sea isotope records.
Abstract: Since 65 million years ago (Ma), Earth's climate has undergone a significant and complex evolution, the finer details of which are now coming to light through investigations of deep-sea sediment cores. This evolution includes gradual trends of warming and cooling driven by tectonic processes on time scales of 10(5) to 10(7) years, rhythmic or periodic cycles driven by orbital processes with 10(4)- to 10(6)-year cyclicity, and rare rapid aberrant shifts and extreme climate transients with durations of 10(3) to 10(5) years. Here, recent progress in defining the evolution of global climate over the Cenozoic Era is reviewed. We focus primarily on the periodic and anomalous components of variability over the early portion of this era, as constrained by the latest generation of deep-sea isotope records. We also consider how this improved perspective has led to the recognition of previously unforeseen mechanisms for altering climate.
8,903 citations
"A long-term numerical solution for ..." refers background in this paper
...…theory has since been confirmed overall with variations in the climate response to the insolation forcing (see Imbrie & Imbrie 1979; Imbrie 1982, for more historical details; and Zachos et al. 2001; Grastein et al. 2004, for a recent review on the astronomical calibration of geological data)....
[...]
...Indeed, in the newly collected data from Ocean Drilling Program Site 926, the modulation of 1.2 Myr of the obliquity appears clearly in the spectral analysis of the paleoclimate record (Zachos et al. 2001)....
[...]
TL;DR: In this article, the authors demonstrate the mechanism for a universal instability, the Arnold diffusion, which occurs in the oscillating systems having more than two degrees of freedom, which results in an irregular, or stochastic, motion of the system as if the latter were influenced by a random perturbation even though, in fact, the motion is governed by purely dynamical equations.
3,527 citations
TL;DR: It is concluded that changes in the earth's orbital geometry are the fundamental cause of the succession of Quaternary ice ages and a model of future climate based on the observed orbital-climate relationships, but ignoring anthropogenic effects, predicts that the long-term trend over the next sevem thousand years is toward extensive Northern Hemisphere glaciation.
Abstract: 1) Three indices of global climate have been monitored in the record of the past 450,000 years in Southern Hemisphere ocean-floor sediments. 2) Over the frequency range 10(-4) to 10(-5) cycle per year, climatic variance of these records is concentrated in three discrete spectral peaks at periods of 23,000, 42,000, and approximately 100,000 years. These peaks correspond to the dominant periods of the earth's solar orbit, and contain respectively about 10, 25, and 50 percent of the climatic variance. 3) The 42,000-year climatic component has the same period as variations in the obliquity of the earth's axis and retains a constant phase relationship with it. 4) The 23,000-year portion of the variance displays the same periods (about 23,000 and 19,000 years) as the quasi-periodic precession index. 5) The dominant, 100,000-year climatic [See table in the PDF file] component has an average period close to, and is in phase with, orbital eccentricity. Unlike the correlations between climate and the higher-frequency orbital variations (which can be explained on the assumption that the climate system responds linearly to orbital forcing), an explanation of the correlation between climate and eccentricity probably requires an assumption of nonlinearity. 6) It is concluded that changes in the earth's orbital geometry are the fundamental cause of the succession of Quaternary ice ages. 7) A model of future climate based on the observed orbital-climate relationships, but ignoring anthropogenic effects, predicts that the long-term trend over the next sevem thousand years is toward extensive Northern Hemisphere glaciation.
3,408 citations
"A long-term numerical solution for ..." refers background or methods in this paper
...The computations of Vernekar were actually used by Hays et al. (1976)....
[...]
...The revival of the Milankovitch theory of paleoclimate can be related to the landmark work of Hays et al. (1976), that established a correlation between astronomical forcing and the δ18O records over the past 500 kyr....
[...]
01 Jan 2004
TL;DR: Gradstein et al. as discussed by the authors proposed a chronostratigraphy approach for linking time and rock in the context of geologic time scales, including the geomagnetic polarity time scale and stable isotope geochronology.
Abstract: Part I. Introduction: 1. Introduction F. M. Gradstein 2. Chronostratigraphy - linking time and rock F. M. Gradstein, J. G. Ogg and A. G. Smith Part II. Concepts and Methods: 3. Biostratigraphy F. M. Gradstein, R. A. Cooper and P. M. Sadler 4. Earth's orbital parameters and cycle stratigraphy L. A. Hinnov 5. The geomagnetic polarity time scale J. G. Ogg and A. G. Smith 6. Radiogenic isotope geochronology M. Villeneuve 7. Stable isotopes J. M. McArthur and R. J. Howarth 8. Geomathematics F. P. Agterberg Part III. Geologic Periods: 9. The Precambrian: the Archaen and Proterozoic eons L. J. Robb, A. H. Knoll, K. A. Plumb, G. A. Shields, H. Strauss and J. Veizer 10. Toward a 'natural' Precambrian time scale W. Bleeker 11. The Cambrian period J. H. Shergold and R. A. Cooper 12. The Ordovician period R. A. Cooper and P. M. Sadler 13. The Silurian period M. J. Melchin, R. A. Cooper and P. M. Sadler 14. The Devonian period M. R. House and F. M. Gradstein 15. The Carboniferous period V. Davydov, B. R. Wardlaw and F. M. Gradstein 16. The Permian period B. R. Wardlaw, V. Davydov and F. M. Gradstein 17. The Triassic period J. G. Ogg 18. The Jurassic period J. G. Ogg 19. The Cretaceous Period J. G. Ogg, F. P. Agterberg and F. M. Gradstein 20. The Paleogene period H. P. Luterbacher, J. R. Ali, H. Brinkhuis, F. M. Gradstein, J. J. Hooker, S. Monechi, J. G. Ogg, J. Powell, U. Rohl, A. Sanfilippo, and B. Schmitz 21. The Neogene period L. Lourens, F. Hilgen, N. J. Shackleton, J. Laskar and D. Wilson 22. The Pleistocene and Holocene epochs P. Gibbard and T. van Kolfschoten Part IV. Summary: 23. Construction and summary of the geologic time scale F. M.. Gradstein, J. G. Ogg and A. G. Smith Appendices Bibliography Stratigraphic index General index.
2,890 citations