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	<title>Sack Lunch Seminars</title>
	<link>http://scripts.mit.edu/~sacklunch/paoc</link>
	<description>PAOC: Oceanography and Climate Sack Lunch Seminars</description>
	<pubDate>Thu, 15 Oct 2009 02:53:44 +0000</pubDate>
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		<title>Sack Lunch Seminar 2009 - 2010</title>
		<link>http://scripts.mit.edu/~sacklunch/paoc/?p=207</link>
		<comments>http://scripts.mit.edu/~sacklunch/paoc/?p=207#comments</comments>
		<pubDate>Thu, 15 Oct 2009 00:04:42 +0000</pubDate>
		<dc:creator>Sack Lunch STAFF</dc:creator>
		
	<category>Uncategorized</category>
	<category>FALL Term 2009</category>
		<guid isPermaLink="false">http://scripts.mit.edu/~sacklunch/paoc/?p=207</guid>
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		<title>October 16 - Mark Merrifield</title>
		<link>http://scripts.mit.edu/~sacklunch/paoc/?p=204</link>
		<comments>http://scripts.mit.edu/~sacklunch/paoc/?p=204#comments</comments>
		<pubDate>Wed, 14 Oct 2009 20:42:16 +0000</pubDate>
		<dc:creator>Sack Lunch STAFF</dc:creator>
		
	<category>Uncategorized</category>
	<category>FALL Term 2009</category>
		<guid isPermaLink="false">http://scripts.mit.edu/~sacklunch/paoc/?p=204</guid>
		<description><![CDATA[




October 16
Mark Merrifield
University Hawaii
Evidence for an Anomalous Recent Increase in the Rate of Global Sea Level Rise



Add to my calendar: ICS file or Google


Tide gauge data are used to estimate trends in global sea level for the period 1955 to 2007.  Linear trends over 15-year segments are computed for each tide gauge record, averaged [...]]]></description>
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<h1 id="toc-october-16">October 16</h1>
<div id="speaker">Mark Merrifield</div>
<p>University Hawaii</p>
<p><big><span style="font-style: italic">Evidence for an Anomalous Recent Increase in the Rate of Global Sea Level Rise</span></big></td>
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<td align="center" colspan="2">Add to my calendar: ICS file or Google</td>
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<td colspan="2">Tide gauge data are used to estimate trends in global sea level for the period 1955 to 2007.  Linear trends over 15-year segments are computed for each tide gauge record, averaged over latitude bands, and combined to form an area-weighted global mean trend.  The uncertainty of the global trend is specified as a sampling error plus a random vertical land motion component, but land motion corrections do not change the results.  The average global sea level trend for the time segments centered on 1962 through 1990 is 1.5±0.5 mm/yr (standard error), in agreement with previous estimates of late 20th century sea level rise.  After 1990, the global trend increases to the most recent rate of 3.2±0.4 mm/yr, matching estimates obtained from satellite altimetry.  The acceleration is distinct from decadal variations in global sea level that have been reported in previous studies.  Increased rates in the tropical and southern oceans primarily account for the acceleration.</td>
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		<title>October 14 - Marko Scholze</title>
		<link>http://scripts.mit.edu/~sacklunch/paoc/?p=201</link>
		<comments>http://scripts.mit.edu/~sacklunch/paoc/?p=201#comments</comments>
		<pubDate>Fri, 09 Oct 2009 12:43:27 +0000</pubDate>
		<dc:creator>Sack Lunch STAFF</dc:creator>
		
	<category>Uncategorized</category>
	<category>FALL Term 2009</category>
		<guid isPermaLink="false">http://scripts.mit.edu/~sacklunch/paoc/?p=201</guid>
		<description><![CDATA[




October 14
Marko Scholze
University of Bristol
A Global Carbon Cycle Data Assimilation System (CCDAS) to Infer Terrestrial CO2 Fluxes and Their Uncertainties



Add to my calendar: ICS file or Google


Atmospheric inversion studies have become an important tool for identifying terrestrial sources and sinks of CO2 at the interannual time scale. Such traditional top-down studies have so far delivered [...]]]></description>
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<h1 id="toc-october-14">October 14</h1>
<div id="speaker">Marko Scholze</div>
<p>University of Bristol</p>
<p><big><span style="font-style: italic">A Global Carbon Cycle Data Assimilation System (CCDAS) to Infer Terrestrial CO2 Fluxes and Their Uncertainties</span></big></td>
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<td align="center" colspan="2">Add to my calendar: ICS file or Google</td>
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<td colspan="2">Atmospheric inversion studies have become an important tool for identifying terrestrial sources and sinks of CO2 at the interannual time scale. Such traditional top-down studies have so far delivered important insights into the atmosphere-biosphere and atmosphere-ocean CO2 exchanges fluxes. However, they suffer from the inverse problem being seriously under determined and they do not have any prognostic power, i.e. they cannot predict the evolution of future CO2 fluxes. These inverse methods are usually contrasted with bottom-up approaches using process-based terrestrial or oceanic models capable of predicting CO2 fluxes. These models, however, cannot take into account the information contained in CO2 measurements from the extensive flask sampling network. I will present results from a carbon cycle data assimilation system (CCDAS) in which atmospheric CO2 concentration data are assimilated into a terrestrial biosphere model. CCDAS calibrates values of the parameters controlling the function of the processes within the terrestrial biosphere model against these observations. The model is run forward using these optimized parameters and calculates quantities of interest such as the net carbon flux. This can be done in a diagnostic mode, calculating fluxes for the same period as the assimilation consistent both with observations and model dynamics. If, however, the model is prognostic one can run it for other periods, either the future or the past. The assimilation procedure also allows to calculate uncertainties on the parameters, which can then be propagated onto diagnostic/prognostic quantities. I will report on results from a hindcasting experiment for prognostically calculated net CO2 fluxes plus uncertainties for the years 2000 to 2003 as well as on the most recent developments to include more observational constraints such as remotely sensed vegetation activity.</td>
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		<title>October 7 - Wallace S. Broecker</title>
		<link>http://scripts.mit.edu/~sacklunch/paoc/?p=200</link>
		<comments>http://scripts.mit.edu/~sacklunch/paoc/?p=200#comments</comments>
		<pubDate>Fri, 02 Oct 2009 13:32:42 +0000</pubDate>
		<dc:creator>Sack Lunch STAFF</dc:creator>
		
	<category>Uncategorized</category>
	<category>FALL Term 2009</category>
		<guid isPermaLink="false">http://scripts.mit.edu/~sacklunch/paoc/?p=200</guid>
		<description><![CDATA[




October 7
Wallace S. Broecker
Columbia University
A Failed Search for a 14C-Depleted Glacial-Age Isolated Abyssal Reservoir



Add to my calendar: ICS file or Google


Fundamental to the field of radiocarbon dating is not only the establishment of the temporal record of the calendar age-radiocarbon age offsets but also the development of an understanding of their cause. Although part of [...]]]></description>
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<h1 id="toc-october-7">October 7</h1>
<div id="speaker">Wallace S. Broecker</div>
<p>Columbia University</p>
<p><big><span style="font-style: italic">A Failed Search for a 14C-Depleted Glacial-Age Isolated Abyssal Reservoir</span></big></td>
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<td align="center" colspan="2">Add to my calendar: ICS file or Google</td>
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<td colspan="2">Fundamental to the field of radiocarbon dating is not only the establishment of the temporal record of the calendar age-radiocarbon age offsets but also the development of an understanding of their cause. Although part of the decline in the magnitude of this offset over the past 40,000 can be explained by a drop in 14C production rate associated with a progressive increase in the strength of the Earth’s magnetic shielding, it is clear that changes in the distribution of 14C among the Earth’s active carbon reservoirs are also required. In particular, the steep 15% decline in the 14C to C ratio in atmospheric CO2 and surface ocean CO2, which occurred in a 3 kyr-duration interval marking the onset of the last deglaciation, appears to require that a very large amount (at least 5000 gigatons) of 14C-deficient carbon was transferred to or within the ocean during this time interval. As no chemical or stable isotope anomaly associated with this injection appears in either the marine sediment or polar ice records, this injection must involve a transfer within the ocean (i.e. a mixing of 2 ocean reservoirs, one depleted in 14C and the other enriched in 14C). Although evidence for the existence of a salt-stabilized glacial-age abyssal ocean reservoir exists, a search based on benthic-planktic age differences and 13C measurements appears to place a limit on its size well below that required to account for the steep 14C decline.</td>
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		<title>September 30 - Glenn R. Flierl</title>
		<link>http://scripts.mit.edu/~sacklunch/paoc/?p=195</link>
		<comments>http://scripts.mit.edu/~sacklunch/paoc/?p=195#comments</comments>
		<pubDate>Wed, 23 Sep 2009 18:31:38 +0000</pubDate>
		<dc:creator>Sack Lunch STAFF</dc:creator>
		
	<category>Uncategorized</category>
	<category>FALL Term 2009</category>
		<guid isPermaLink="false">http://scripts.mit.edu/~sacklunch/paoc/?p=195</guid>
		<description><![CDATA[




September 30
Glenn R. Flierl
MIT
Adaptive dynamics and effect of circulation and mixing




Add to my calendar: ICS file or Google


As climate and therefore the ocean changes, the organisms will also evolve to survive.  Most large-scale biogeochemistry models work with a small set of plants and animals all having fixed traits; thus they cannot see this kind [...]]]></description>
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<h1 id="toc-september-30">September 30</h1>
<div id="speaker">Glenn R. Flierl</div>
<p>MIT</p>
<p><big><span style="font-style: italic">Adaptive dynamics and effect of circulation and mixing</span></big></td>
<td align="right" style="width: 100px"><a href="file:///Users/sheekelabaker-yeboah/Desktop/sd.ps"><br />
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<td align="center" colspan="2">Add to my calendar: ICS file or Google</td>
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<td colspan="2">As climate and therefore the ocean changes, the organisms will also evolve to survive.  Most large-scale biogeochemistry models work with a small set of plants and animals all having fixed traits; thus they cannot see this kind of change.  In contrast, adaptive or trait-based models explicitly incorporate the possibility that different populations may appear and become dominant.  We shall discuss the formulation and properties of such models.  In the ocean, the &#8220;fitness&#8221; of an organism depends also on the physical circulation and mixing, since these induce temporal changes in the environment following a fluid parcel as well as bringing in potential competitors.  We examine some of these effects to understand the interplay between the physics and the adaptive dynamics.</td>
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		<title>September 23 - Christoph Stegert</title>
		<link>http://scripts.mit.edu/~sacklunch/paoc/?p=194</link>
		<comments>http://scripts.mit.edu/~sacklunch/paoc/?p=194#comments</comments>
		<pubDate>Mon, 21 Sep 2009 12:14:54 +0000</pubDate>
		<dc:creator>Sack Lunch STAFF</dc:creator>
		
	<category>Uncategorized</category>
	<category>FALL Term 2009</category>
		<guid isPermaLink="false">http://scripts.mit.edu/~sacklunch/paoc/?p=194</guid>
		<description><![CDATA[




September 23
Christoph Stegert
MIT/WHOI
Congener Copepods in the northern Atlantic Ocean: an inter-regional analysis on the response to changes in environmental conditions
Picture


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As the investigation of key copepod species gained a special interest within GLOBEC several population models have been used within different regional projects. Copepods of the genera Pseudocalanus, Centropages [...]]]></description>
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<h1 id="toc-september-23">September 23</h1>
<div id="speaker">Christoph Stegert</div>
<p>MIT/WHOI</p>
<p><big><span style="font-style: italic">Congener Copepods in the northern Atlantic Ocean: an inter-regional analysis on the response to changes in environmental conditions</span></big></td>
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<td align="center" colspan="2">Add to my calendar: ICS file or Google</td>
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<td colspan="2">As the investigation of key copepod species gained a special interest within GLOBEC several population models have been used within different regional projects. Copepods of the genera <em>Pseudocalanus</em>, <em>Centropages</em> and <em>Calanus</em> are widespread in the northern Atlantic Ocean and are stockforming in different areas. While some species are present in the whole North Atlantic <em>Pseudocalanus</em> is separated into habitats of congener species of which <em>P. newmani</em> and <em>P. moultoni</em> are found in the Gulf of Maine whereas <em>P. elongatus</em> inhabits the European Continental Shelf. Population dynamics of these copepods are investigated within three-dimensional ecosystem models using different stage grouped population models. Within the U.S. GLOBEC program a population model was developed and applied to the Gulf of Maine. The model estimates temperature dependent developmental rates calculating the abundance of four stage groups where development is controlled by their mean age. Using temperature data from climate models potential biogeographical boundaries are determined for different species. As food concentration can limit growth rates in certain species, the uptake of food was considered in another model, in which individual growth is controlled by the mean mass. Investigations in the North Sea within the German GLOBEC project provide the interaction with other trophic levels. Using both approaches developmental rates under changing conditions are compared to time series at single stations. The population life history, its structure, growth and distribution are examined in the context of seasonal and inter-annual climate variability.</td>
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		<title>September 16 - Jessica Benthuysen</title>
		<link>http://scripts.mit.edu/~sacklunch/paoc/?p=191</link>
		<comments>http://scripts.mit.edu/~sacklunch/paoc/?p=191#comments</comments>
		<pubDate>Thu, 10 Sep 2009 12:39:40 +0000</pubDate>
		<dc:creator>Sack Lunch STAFF</dc:creator>
		
	<category>Uncategorized</category>
	<category>FALL Term 2009</category>
		<guid isPermaLink="false">http://scripts.mit.edu/~sacklunch/paoc/?p=191</guid>
		<description><![CDATA[




September 16
Jessica Benthuysen
MIT/WHOI
Nonlinear stratified spindown over a sloping bottom
﻿Picture


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On a stratified sloping bottom, the nonlinear spindown of an along-isobath flow gives rise to asymmetry in Ekman pumping and suction. We show that nonlinear advection of buoyancy weakens Ekman pumping to a greater extent than Ekman suction. This mechanism [...]]]></description>
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<h1 id="toc-september-16">September 16</h1>
<div id="speaker">Jessica Benthuysen</div>
<p>MIT/WHOI</p>
<p><big><span style="font-style: italic">Nonlinear stratified spindown over a sloping bottom</span></big></td>
<td align="right" style="width: 100px"><img src="file:///Users/sheekelabaker-yeboah/Desktop/jbenthuysen.jpg" />﻿Picture</td>
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<td align="center" colspan="2">Add to my calendar: ICS file or Google</td>
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<td colspan="2">On a stratified sloping bottom, the nonlinear spindown of an along-isobath flow gives rise to asymmetry in Ekman pumping and suction. We show that nonlinear advection of buoyancy weakens Ekman pumping to a greater extent than Ekman suction. This mechanism for asymmetry contrasts with previous studies of nonlinear homogeneous spindown over a flat bottom, in which nonlinear advection of momentum weakens Ekman pumping and strengthens Ekman suction. Theoretical and numerical calculations are performed for increasing Rossby number to examine the relative roles of nonlinear advection of buoyancy and momentum on the asymmetry in Ekman pumping and suction and its subsequent feedback into the vertical vorticity field. The results of this study are applied to flows on the continental slope.</td>
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		<title>Fall 2009 Schedule</title>
		<link>http://scripts.mit.edu/~sacklunch/paoc/?p=190</link>
		<comments>http://scripts.mit.edu/~sacklunch/paoc/?p=190#comments</comments>
		<pubDate>Tue, 01 Sep 2009 18:32:26 +0000</pubDate>
		<dc:creator>Sack Lunch STAFF</dc:creator>
		
	<category>Uncategorized</category>
	<category>FALL Term 2009</category>
		<guid isPermaLink="false">http://scripts.mit.edu/~sacklunch/paoc/?p=190</guid>
		<description><![CDATA[




September 16
Jessica Benthuysen
MIT/WHOI
Nonlinear Stratified Spindown Over A Sloping Bottom










September 23
Christoph Stegert
MIT/WHOI
Congener Copepods in the northern Atlantic Ocean: an inter-regional analysis on the response to changes in environmental conditions










September 30
Glenn R. Flierl
MIT
Adaptive Dynamics and Effect of Circulation and Mixing










October 7
Wally Broecker
Columbia University
A Failed Search for a 14C-Depleted Glacial-Age Isolated Abyssal Reservoir










October 14
Marko Scholze
University of Bristol
A Global [...]]]></description>
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<h1 id="toc-september-16">September 16</h1>
<div id="speaker">Jessica Benthuysen</div>
<p>MIT/WHOI<br />
<big><span style="font-style: italic">Nonlinear Stratified Spindown Over A Sloping Bottom</span></big></td>
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<h1 id="toc-september-23">September 23</h1>
<div id="speaker">Christoph Stegert</div>
<p>MIT/WHOI<br />
<big><span style="font-style: italic">Congener Copepods in the northern Atlantic Ocean: an inter-regional analysis on the response to changes in environmental conditions</span></big></td>
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<h1 id="toc-september-30">September 30</h1>
<div id="speaker">Glenn R. Flierl</div>
<p>MIT<br />
<big><span style="font-style: italic">Adaptive Dynamics and Effect of Circulation and Mixing</span></big></td>
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<h1 id="toc-october-7">October 7</h1>
<div id="speaker">Wally Broecker</div>
<p>Columbia University<br />
<big><span style="font-style: italic">A Failed Search for a 14C-Depleted Glacial-Age Isolated Abyssal Reservoir</span></big></td>
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<h1 id="toc-october-14">October 14</h1>
<div id="speaker">Marko Scholze</div>
<p>University of Bristol<br />
<big><span style="font-style: italic">A Global Carbon Cycle Data Assimilation System (CCDAS) to Infer Terrestrial CO2 Fluxes and Their Uncertainties</span></big></td>
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<h1 id="toc-october-16">*October 16</h1>
<div id="speaker">Mark Merrifield</div>
<p>University Hawaii<br />
<big><span style="font-style: italic">Evidence for an Anomalous Recent Increase in the Rate of Global Sea Level Rise</span></big></td>
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<h1 id="toc-october-21">October 21</h1>
<div id="speaker">Roman Stocker</div>
<p>MIT<br />
<big><span style="font-style: italic">Marine Microbes in Motion</span></big></td>
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<h1 id="toc-october-23">*October 23</h1>
<div id="speaker">Thierry Penduff</div>
<p>Florida State University &#038; CNRS-LEGI, Grenoble, France<br />
<big><span style="font-style: italic">Assessing the Forced and Intrinsic Ocean Variability in Multi-resolution Global DRAKKAR Simulations</span></big></td>
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<h1 id="toc-october-28">October 28</h1>
<div id="speaker">Larry Pratt</div>
<p>WHOI<br />
<big><span style="font-style: italic">The Strait of Gibraltar:  Maximal or Submaximal Exchange?</span></big></td>
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<h1 id="toc-november-4">November 4</h1>
<div id="speaker">Sonya Legg</div>
<p>Princeton University<br />
<big><span style="font-style: italic">Improved Overflow Representation in Ocean Climate Models</span></big></td>
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<h1 id="toc-november-18">November 18</h1>
<div id="speaker">Sukyoung Lee</div>
<p>Penn State<br />
<big><span style="font-style: italic">Finite-Amplitude Equilibration of Baroclinic Waves on a Jet</span></big></td>
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<h1 id="toc-december-2">December 2</h1>
<div id="speaker">Georgi Sutyrin</div>
<p>University of Rhode Island<br />
<big><span style="font-style: italic">Coupling of Deep Eddies with Baroclinic Rings</span></big></td>
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		<title>June 3 - Andrew Thompson</title>
		<link>http://scripts.mit.edu/~sacklunch/paoc/?p=188</link>
		<comments>http://scripts.mit.edu/~sacklunch/paoc/?p=188#comments</comments>
		<pubDate>Mon, 01 Jun 2009 14:51:11 +0000</pubDate>
		<dc:creator>Sack Lunch STAFF</dc:creator>
		
	<category>SPRING Term 2009 - Schedule</category>
		<guid isPermaLink="false">http://scripts.mit.edu/~sacklunch/paoc/?p=188</guid>
		<description><![CDATA[




June 3
Andrew Thompson
DAMTP - University of Cambridge
Vacillating jets:  baroclinic turbulence and topography



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Observations from satellite altimetry and output from high-resolution ocean models indicate that the Southern Ocean is characterized by an intricate web of narrow, meandering, filamentary jets.  These jets undergo spontaneous formation, merger and splitting events, and rapid latitude shifts over [...]]]></description>
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<h1 id="toc-june-3">June 3</h1>
<div id="speaker">Andrew Thompson</div>
<p>DAMTP - University of Cambridge<br />
<big><span style="font-style: italic">Vacillating jets:  baroclinic turbulence and topography</span></big></td>
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<td align="center" colspan="2">Add to my calendar: <a target="_blank" href="http://www.google.com/calendar/event?action=TEMPLATE&#038;tmeid=MmJzM2g4aWoycWVycTVoaHJmN2tmdTEzMjQgYW9uYTlyczQ1cXZkdTdjbWUzcXZsaGI1cnNAZw&#038;tmsrc=YW9uYTlyczQ1cXZkdTdjbWUzcXZsaGI1cnNAZ3JvdXAuY2FsZW5kYXIuZ29vZ2xlLmNvbQ"><img border="0" src="http://www.google.com/calendar/images/ext/gc_button1_en.gif" /></a></td>
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<td colspan="2">Observations from satellite altimetry and output from high-resolution ocean models indicate that the Southern Ocean is characterized by an intricate web of narrow, meandering, filamentary jets.  These jets undergo spontaneous formation, merger and splitting events, and rapid latitude shifts over periods of weeks to months.  The role of topography in controlling jet variability is explored using a doubly-periodic, forced-dissipative, two-layer quasi-geostrophic model.  The system is forced by a baroclinically-unstable, vertically-sheared mean flow in a domain that is large enough to accommodate multiple jets.  The dependence of (i) meridional jet spacing, (ii) time scales of jet variability and (iii) large-scale, domain-averaged transport properties on changes in the length scale and steepness of simple sinusoidal topographical features is analyzed.  Unsteady jet behavior is found to occur when the characteristic length scale of the eddies is comparable to or smaller than the scale of the topography.  In particular, specific cases are considered where jets may drift across mean potential vorticity gradients or undergo periodic transitions between topographically-steered and zonal structures.  The potential for these processes to play a role in the dynamic nature of Southern Ocean jets is discussed.</td>
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		<title>May 27 - Kjetil Vage</title>
		<link>http://scripts.mit.edu/~sacklunch/paoc/?p=187</link>
		<comments>http://scripts.mit.edu/~sacklunch/paoc/?p=187#comments</comments>
		<pubDate>Wed, 27 May 2009 15:37:13 +0000</pubDate>
		<dc:creator>Sack Lunch STAFF</dc:creator>
		
	<category>SPRING Term 2009 - Schedule</category>
		<guid isPermaLink="false">http://scripts.mit.edu/~sacklunch/paoc/?p=187</guid>
		<description><![CDATA[




May 27
Kjetil Våge
MIT/WHOI Joint Program
Surprising return of deep convection to the subpolar North Atlantic Ocean in winter 2007-2008



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Deep open-ocean convection in the subpolar North Atlantic Ocean, which impacts the meridional overturning circulation and oceanic heat flux, has been largely absent since the mid-1990s. In the winter of 2007-2008 convection returned suddenly in [...]]]></description>
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<h1 id="toc-may-27">May 27</h1>
<div id="speaker">Kjetil Våge</div>
<p>MIT/WHOI Joint Program<br />
<big><span style="font-style: italic">Surprising return of deep convection to the subpolar North Atlantic Ocean in winter 2007-2008</span></big></td>
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<td align="center" colspan="2">Add to my calendar:<a target="_blank" href="http://www.google.com/calendar/event?action=TEMPLATE&#038;tmeid=c3ZwZG9iMmkwcDZxY3JndjZtYXFxY2w3Nm8gYW9uYTlyczQ1cXZkdTdjbWUzcXZsaGI1cnNAZw&#038;tmsrc=YW9uYTlyczQ1cXZkdTdjbWUzcXZsaGI1cnNAZ3JvdXAuY2FsZW5kYXIuZ29vZ2xlLmNvbQ"><img border="0" src="http://www.google.com/calendar/images/ext/gc_button1_en.gif" /></a></td>
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<td colspan="2">Deep open-ocean convection in the subpolar North Atlantic Ocean, which impacts the meridional overturning circulation and oceanic heat flux, has been largely absent since the mid-1990s. In the winter of 2007-2008 convection returned suddenly in both the Labrador and Irminger Seas. Here we document this return, and address the reasons why it happened. Profiling float data from the Argo program are used to characterize the deep mixing. Analysis of a variety of in situ, satellite, and reanalysis data shows that, contrary to expectations, the transition to a convective state took place abruptly, without going through a phase of preconditioning. Changes in hemispheric air temperature, storm tracks, the flux of fresh water to the Labrador Sea, and the distribution of pack ice all contributed to an enhanced flux of heat from the sea to the air, making the surface water sufficiently cold and dense to initiate deep convection. Given this complexity, we conclude that it will be difficult to predict when deep mixing may occur again.</td>
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