<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE article SYSTEM "http://www.clim-past.net/inc/cp/copernicus.dtd">
<article language="en">
	<journal>
		<journal_title>Climate of the Past</journal_title>
		<journal_url>www.clim-past.net</journal_url>
		<issn>1814-9324</issn>
		<eissn>1814-9332</eissn>
		<volume_number>2</volume_number>
		<issue_number>1</issue_number>
		<publication_year>2006</publication_year>
	</journal>
	<doi>10.5194/cp-2-43-2006</doi>
	<article_url>http://www.clim-past.net/2/43/2006/</article_url>
	<abstract_html>http://www.clim-past.net/2/43/2006/cp-2-43-2006.html</abstract_html>
	<fulltext_pdf>http://www.clim-past.net/2/43/2006/cp-2-43-2006.pdf</fulltext_pdf>
	<start_page>43</start_page>
	<end_page>55</end_page>
	<publication_date>2006-07-17</publication_date>
	<article_title content_type="html">Ice-driven CO&lt;sub&gt;2&lt;/sub&gt; feedback on ice volume</article_title>
	<authors>
		<author numeration="1" affiliations="1">
			<name>W. F. Ruddiman</name>
			<email>rudds2@ntelos.net</email>
		</author>
	</authors>
	<affiliations>
		<affiliation numeration="1" content_type="html">Department of Environmental Sciences, University of Virginia, Charlottesville, VA, USA</affiliation>
	</affiliations>
	<abstract content_type="html">The origin of the major ice-sheet variations during the last 2.7 million
years is a long-standing mystery. Neither the dominant 41 000-year cycles in
&amp;delta;&lt;sup&gt;18&lt;/sup&gt;O/ice-volume during the late Pliocene and early Pleistocene
nor the late-Pleistocene oscillations near 100 000 years is a linear
(&quot;Milankovitch&quot;) response to summer insolation forcing. Both responses must
result from non-linear behavior within the climate system. Greenhouse gases
(primarily CO&lt;sub&gt;2&lt;/sub&gt;) are a plausible source of the required non-linearity,
but confusion has persisted over whether the gases force ice volume or are a
positive feedback. During the last several hundred thousand years, CO&lt;sub&gt;2&lt;/sub&gt;
and ice volume (marine &amp;delta;&lt;sup&gt;18&lt;/sup&gt;O) have varied in phase at the
41 000-year obliquity cycle and nearly in phase within the ~100 000-year band.
This timing rules out greenhouse-gas forcing of a very
slow ice response and instead favors ice control of a fast CO&lt;sub&gt;2&lt;/sub&gt;
response.

&lt;P&gt;

In the schematic model proposed here, ice sheets responded linearly to
insolation forcing at the precession and obliquity cycles prior to 0.9
million years ago, but CO&lt;sub&gt;2&lt;/sub&gt; feedback amplified the ice response at the
41 000-year period by a factor of approximately two. After 0.9 million years
ago, with slow polar cooling, ablation weakened. CO&lt;sub&gt;2&lt;/sub&gt; feedback continued
to amplify ice-sheet growth every 41 000 years, but weaker ablation
permitted some ice to survive insolation maxima of low intensity. Step-wise
growth of these longer-lived ice sheets continued until peaks in northern
summer insolation produced abrupt deglaciations every ~85 000 to ~115 000 years.
Most of the deglacial ice melting resulted from the same
CO&lt;sub&gt;2&lt;/sub&gt;/temperature feedback that had built the ice sheets. Several
processes have the northern geographic origin, as well as the requisite
orbital tempo and phasing, to be candidate mechanisms for ice-sheet control
of CO&lt;sub&gt;2&lt;/sub&gt; and their own feedback.</abstract>
	<references>
		<reference numeration="1" content_type="text"> Alley, R. B.: Comment on `When Earth&apos;s freezer door is left ajar&apos;, EOS, 84, 315, 2003. </reference>
		<reference numeration="2" content_type="text"> Alley, R. B., Brook, E. J., and Anandakrishnan, S.: A northern lead in the orbital band: north-south phasing of ice-age events, Quaternary Sci. Rev., 21, 431&amp;ndash;441, 2002. </reference>
		<reference numeration="3" content_type="text"> Bard, E., Hamelin, B., and Fairbanks, R. G.: U-Th ages obtained by mass spectrometry in corals from Barbados; sea level during the past 130,000 years, Nature, 346, 456&amp;ndash;458, 1990. </reference>
		<reference numeration="4" content_type="text"> Bender, M. L.: Orbital tuning chronology for the Vostok climate record supported by trapped gas comparison, Earth Plan. Sci. Lett., 204, 275&amp;ndash;289, 2002. </reference>
		<reference numeration="5" content_type="text"> Blunier, T., Chappellaz, J., Schwander, J., Stauffer, J., and Raynaud, D.: Variations in atmospheric methane concentrations during the Holocene epoch, Nature, 374, 46&amp;ndash;49, 1995. </reference>
		<reference numeration="6" content_type="text"> Boyle, E. A. and Keigwin, L. D.:. Comparison of Atlantic and Pacific paleochemical records for the last 215 000 years: changes in deep-ocean circulation and chemical inventories, Earth Plan. Sci. Lett., 76, 135&amp;ndash;150, 1985. </reference>
		<reference numeration="7" content_type="text"> Broccoli, A. J. and Manabe, S.: The influence of continental ice, atmospheric CO$_2$, and land albedo on the climate of the last glacial maximum, Climate Dyn., 1, 87&amp;ndash;99, 1987. </reference>
		<reference numeration="8" content_type="text"> Broecker, W. S. and Denton, G. H.: The role of ocean-atmosphere reorganizations in glacial cycles, Geochimica Cosmochimica Acta, 53, 2465&amp;ndash;2501, 1989. </reference>
		<reference numeration="9" content_type="text"> Broecker, W. S. and Henderson, G. M.: The sequence of events surrounding termination II and their implications for the cause of the glacial-interglacial CO$_2$ changes, Paleoceanography, 13, 352&amp;ndash;364, 1998. </reference>
		<reference numeration="10" content_type="text"> Broecker, W. S. and Peng, T.-H.: The cause of the glacial to interglacial atmospheric CO$_2$ change: a polar alkalinity hypothesis, Global Biogeochem. Cycles. 3, 215&amp;ndash;239, 1989.. </reference>
		<reference numeration="11" content_type="text"> Chappell, J. and Shackleton, N. J.: Oxygen isotopes and sea level, Nature, 324, 137&amp;ndash;140, 1986. </reference>
		<reference numeration="12" content_type="text"> Clark, P. U., Alley, R. A., and Pollard, D.: Northern hemisphere ice-sheet influences on global climate change, Science, 286, 1104&amp;ndash;1111, 1999. </reference>
		<reference numeration="13" content_type="text"> Denton, G. H., Alley, R. B., Comer, G. C., and Broecker, W. S.: The role of seasonality in abrupt climate change, Quaternary Sci. Rev., 24, 1159&amp;ndash;1182, 2005. </reference>
		<reference numeration="14" content_type="text"> Edwards, R. L., Chen, J. H., Ku, T.-L., and Wasserburg, G. J.: Precise timing of the last interglacial period from mass-spectrometric determination of Thorium-230 in corals, Science, 236, 1547&amp;ndash;1553, 1987. </reference>
		<reference numeration="15" content_type="text"> Fairbanks, R. G. and Mathews, R. K.: The marine oxygen isotope record in Pleistocene coral, Barbados, West Indies, Quaternary Res., 10, 181&amp;ndash;196, 1978. </reference>
		<reference numeration="16" content_type="text"> Francois, R., Altabet, M. A., Yu, E.-F., et al.: Contribution of Southern Ocean surface-water stratification to low atmospheric CO$_2$ concentrations during the last glacial period, Nature, 389, 929&amp;ndash;935, 1997. </reference>
		<reference numeration="17" content_type="text"> Genthon, C, Barnola, J. M., Raynaud, D., et al.: Vostok ice core: climatic response to CO$_2$ and orbital forcing changes over the last climatic cycle, Nature, 329, 414&amp;ndash;418, 1987. </reference>
		<reference numeration="18" content_type="text"> Hansen, J. E., Lacis, A., Rind, D., et al.: Climate Sensitivity: analysis of feedback mechanisms, in: Climate Processes and Sensitivity, edited by: Hansen, J. E. and Takahashi, T., Geophys. Monogr. (AGU, Washington), 29, 130&amp;ndash;163, 1984.. </reference>
		<reference numeration="19" content_type="text"> Hays, J. D., Imbrie, J., Shackleton, N. J.: Variations in the earth&apos;s orbit: pacemaker of the ice ages, Science, 194, 1121&amp;ndash;1132, 1976. </reference>
		<reference numeration="20" content_type="text"> Hoffert, M. I. and Covey, C.: Deriving global climate sensitivity from paleoclimate reconstructions, Nature, 360, 573&amp;ndash;576, 1992. </reference>
		<reference numeration="21" content_type="text"> Hovan, S. A., Rea, D. K., Pisias, N. G., and Shackleton, N. J.: A direct link between the China loess and marine $\delta ^18$O records: Aeolian flux to the North Pacific, Nature, 340, 296&amp;ndash;298, 1989. </reference>
		<reference numeration="22" content_type="text"> Huybers, P. and Wunsch, C.: Obliquity pacing of the late Pleistocene glacial terminations, Nature, 434, 491&amp;ndash;494, 2004. </reference>
		<reference numeration="23" content_type="text"> Imbrie, J., Hays, J.D., Martinson, D. G., et al.: The orbital theory of Pleistocene climate: support from a revised chronology of the marine $\delta ^18$O record, in: Milankovitch and Climate, edited by: Berger, A. L., Hays, J., Kukla, G., and Salzman, B., D. Reidel Publishing Company, Part 1, 269&amp;ndash;305, 1984. </reference>
		<reference numeration="24" content_type="text"> Imbrie, J., McIntyre, A., and Mix, A.: Oceanic response to orbital forcing in the late Quaternary: Observational and experimental strategies, in: Climate and Geo-Sciences, edited by: Berger, A. L., Schneider, S. H., and Duplessy, J. C., Kluwer Academic Publ., 121&amp;ndash;164, 1989. </reference>
		<reference numeration="25" content_type="text"> Imbrie J., Berger, A., Boyle, E. A., et al.: On the structure and origin of major glaciation cycles. 1. Linear responses to Milankovitch forcing, Paleoceanography, 7, 701&amp;ndash;738, 1992. </reference>
		<reference numeration="26" content_type="text"> Imbrie J., Berger, A., Boyle, E. A., et al.: On the structure and origin of major glaciation cycles. 2. The 100 000-year cycle, Paleoceanography, 8, 699&amp;ndash;735, 1993. </reference>
		<reference numeration="27" content_type="text"> Jaccard, S. L., Haug, G. H., Sigman, D. M., et al.: Glacial/interglacial changes in subarctic North Pacific stratification, Nature, 308, 1003&amp;ndash;1006, 2005. </reference>
		<reference numeration="28" content_type="text"> Kukla, G., An, Z. S., Melice, J. L., Gavin, J., and Xiao, J. L.: Magnetic Susceptibility Record of Chinese loess, Transactions Royal Society Edinburgh Earth Science, 81, 263&amp;ndash;288, 1990. </reference>
		<reference numeration="29" content_type="text"> Kutzbach, J. E. Monsoon climate of the early Holocene: Climate experiment with Earth&apos;s orbital parameters for 9000 years ago, Science, 214, 59&amp;ndash;61, 1981. </reference>
		<reference numeration="30" content_type="text"> Levis, S. and Foley, J. A.: CO$_2$, climate and vegetation feedbacks at the last glacial maximum, J. Geophys. Res., 104, 31 191&amp;ndash;31 198, 1999. </reference>
		<reference numeration="31" content_type="text"> Lisiecki, L. E. and Raymo, M. E.: A Plio-Pleistocene stack of 57 globally distributed benthic $\delta ^18$O records, Paleoceanography, 20, PA1003, doi:10.1029/2004PA001071, 2005. </reference>
		<reference numeration="32" content_type="text"> Martin, J. H.: Glacial-interglacial CO$_2$ changes: the iron hypothesis, Paleoceanography, 5, 1&amp;ndash;13, 1990. </reference>
		<reference numeration="33" content_type="text"> Mayewski, P. A., Meeker, L. D., Whitlow, S., et al.: Major features and forcing of high latitude northern hemisphere atmospheric circulation using a 110,000 year long glaciochemistry series, J. Geophys. Res., 102, 26 345&amp;ndash;26 366, 1996. </reference>
		<reference numeration="34" content_type="text"> Milankovitch, M.: Kanon der Erdbestrahlung und seine Anwendung auf das Eiszeiten-problem, Royal Serbian Academy Special Publication 133, Belgrade, 1941. </reference>
		<reference numeration="35" content_type="text"> Mix, A. C., Pisias, N. G., Rugh, W., Wilson, J., Morey, A., and Hagelberg, T. K.: Benthic foraminifer stable isotope record from Site 849 (0&amp;ndash;5 Ma): Local and global climate changes, Proceedings Ocean Drilling Program, 138, 371&amp;ndash;412, 1995. </reference>
		<reference numeration="36" content_type="text"> Morley, J. J. and Dworetsky, B. A.: Evolving Pliocene-Pleistocene climate: A North Pacific perspective, Quaternary Sci. Rev., 10, 225&amp;ndash;237, 1991. </reference>
		<reference numeration="37" content_type="text"> Morely, J. J. and Hays, J. D.: Oceanographic conditions associated with high abundances of the radiolarian \textitCycladophora davisiana, Earth Planet. Sci. Lett., 66, 63&amp;ndash;72, 1983. </reference>
		<reference numeration="38" content_type="text"> Mudelsee, M.: The phase relations among atmospheric CO$_2$ content, temperature, and global ice volume over the past 420 ka, Quaternary Sci. Rev., 20, 583&amp;ndash;590, 2001. </reference>
		<reference numeration="39" content_type="text"> Muller, R. A. and MacDonald, G. J.: Ice ages and astronomical causes, Springer-Verlag, Berlin, 2000. </reference>
		<reference numeration="40" content_type="text"> Oglesby, R. J. and Saltzman, B.: Sensitivity of the equilibrium surface temperature of a GCM to changes in atmospheric carbon dioxide, Geophys. Res. Lett., 17, 1089&amp;ndash;1092, 1990. </reference>
		<reference numeration="41" content_type="text"> Petit, J. R., Jouzel, J., Raynaud, D., et al.: Climate and atmospheric history of the last 420,000 years from the Vostok ice core, Antarctica, Nature, 399, 429&amp;ndash;436, 1999. </reference>
		<reference numeration="42" content_type="text"> Pisias, N. G. and Moore, T. C.: The evolution of Pleistocene climate: a time series approach, Earth Planet. Sci. Lett., 52, 450&amp;ndash;458, 1981. </reference>
		<reference numeration="43" content_type="text"> Pisias, N. G. and Shackleton, N. J.: Modeling the global climate response to orbital forcing and atmospheric carbon dioxide changes, Nature, 310, 757&amp;ndash;759, 1986. </reference>
		<reference numeration="44" content_type="text"> Pisias, N. G., Mix, A. C., and Zahn, R.: Nonlinear response in the global climate system: evidence from benthic oxygen isotopic record in core RC13-110, Paleoceanography, 5, 147&amp;ndash;160, 1990. </reference>
		<reference numeration="45" content_type="text"> Prell, W. L. and Kutzbach, J. E.: Sensitivity of the Indian monsoon to forcing parameters and implications for its evolution, Nature, 360, 647&amp;ndash;652, 1992. </reference>
		<reference numeration="46" content_type="text"> Raymo, M. E.: The timing of major climate terminations, Paleoceanography, 12, 577&amp;ndash;585, 1997. </reference>
		<reference numeration="47" content_type="text"> Raymo, M. E., Lisiecki, L., and Niscangioglu, K.: Plio-Pleistocene ice volume, Antarctic climate, and the global δ18O record, Science, doi:10.1126/science.1123296, in press, 2006. </reference>
		<reference numeration="48" content_type="text"> Raymo, M. E. and Nisancioglu, K.: The 41 kyr world: Milankovitch&apos;s other unsolved mystery, Paleoceanography, 18, 11, doi:10.1029/2002PA000791, 2003. </reference>
		<reference numeration="49" content_type="text"> Raymo, M. E., Ruddiman, W. F., Backman,. J., Clement, B. M., and Martinson, D. G.: Late Pliocene variations in northern hemisphere ice sheets and North Atlantic deep water circulation, Paleoceanography, 4, 413&amp;ndash;446, 1989. </reference>
		<reference numeration="50" content_type="text"> Raymo, M. E., Oppo, D. W., and Curry, W.: The mid-Pleistocene transition: A deep sea carbon isotopic perspective, Paleoceanography, 12, 546&amp;ndash;559, 1997. </reference>
		<reference numeration="51" content_type="text"> Raynaud, D., Chappellaz, J., Barnola, J. M., Korotkevich, Y. S., and Lorius, C.: Climatic and CH$_4$ cycle implications of glacial-interglacial CH$_4$ change in the Vostok ice core, Nature, 333, 655&amp;ndash;657, 1988. </reference>
		<reference numeration="52" content_type="text"> Ridgwell, A. J. and Watson, A. J.: Feedback between aeolian dust, climate, and atmospheric CO$_2$ in glacial time, Paleoceanography, 17, 11, doi:10.1029/2001PA000729, 2002. </reference>
		<reference numeration="53" content_type="text"> Ruddiman, W. F.: Orbital insolation, ice volume, and greenhouse gases, Quaternary Sci. Rev., 22, 1597&amp;ndash;1629, 2003. </reference>
		<reference numeration="54" content_type="text"> Ruddiman, W. F. and McIntyre, A.: Ice-age thermal response and climatic role of the surface North Atlantic Ocean (40&amp;deg; N to 63&amp;deg; N), Geol. Soc. Amer. Bull., 95, 381&amp;ndash;396, 1984. </reference>
		<reference numeration="55" content_type="text"> Ruddiman, W. F. and Raymo, M. E.: A methane-based time scale for Vostok ice: climatic implications, Quaternary Sci. Rev., 21, 141&amp;ndash;155, 2003. </reference>
		<reference numeration="56" content_type="text"> Ruddiman, W. F., Raymo, M. E., and McIntyre, A.: Matuyama 41,000-year cycles: North Atlantic Ocean and northern hemisphere ice sheets, Earth Planet. Sci. Lett., 80, 117&amp;ndash;129, 1986. </reference>
		<reference numeration="57" content_type="text"> Shackleton, N. J.: The 100,000-year ice-age cycle identified and found to lag temperature, carbon dioxide, and orbital eccentricity, Science, 289, 1897&amp;ndash;1902, 2000. </reference>
		<reference numeration="58" content_type="text"> Shackleton, N. J. and Opdyke, N. D.: Oxygen isotope and paleomagnetic stratigraphy of Pacific core V28-239. Late Pliocene to latest Pleistocene, in: Investigation of Late Quaternary Paleoceanography and Paleoclimatology Memoir 145, edited by: Cline, R. M. and Hays, J. D. Geol. Soc. Amer., Boulder., 449&amp;ndash;464, 1976. </reference>
		<reference numeration="59" content_type="text"> Sigman, D. M. and Boyle, E. A.: Glacial/interglacial variations in atmospheric carbon dioxide, Nature, 407, 859&amp;ndash;869, 2000. </reference>
		<reference numeration="60" content_type="text"> Stephens, B. B. and Keeling, R. F.: The influence of Antarctic sea ice on glacial/interglacial CO$_2$ variations, Nature, 404, 171&amp;ndash;174, 2000. </reference>
		<reference numeration="61" content_type="text"> Vettoretti, G. and Peltier, W. R.: Sensitivity of glacial inception to orbital and greenhouse gas climate forcing, Quaternary Sci. Rev., 23, 499&amp;ndash;519, 2004. </reference>
		<reference numeration="62" content_type="text"> Young, M. A. and Bradley, R. S.: Insolation gradients and the paleoclimatic record, in: Milankovitch and Climate, Part 2, edited by: Berger, A. L., Imbrie, J., Hays, J., et al., D. Reidel, Norwell, MA., 707&amp;ndash;713, 1984. </reference>
		<reference numeration="63" content_type="text"> Yuan, D., Cheng, H., Edwards, R. L., et al.: Timing, duration, and transitions of the last interglacial Asian monsoon, Science, 304, 575&amp;ndash;578, 2004.  </reference>
	</references>
</article>

