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Course: DJJ 2002, Fall 2009
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TRANSPORT INTERCONTINENTAL OF OZONE: LINKING AIR QUALITY AND CLIMATE ISSUES Daniel J. Jacob WELL-DOCUMENTED TREND IN TROPOSPHERIC OZONE BACKGROUND OVER 20th CENTURY models seem unable to reproduce it quantitatively Observations from European mountain sites [Marenco et al., 1994] UNCERTAINTY IN PREINDUSTRIAL OZONE: MODELS ARE HIGHER THAN 19th CENTURY OBSERVATIONS Radiative forcing from ozone could be much...

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TRANSPORT INTERCONTINENTAL OF OZONE: LINKING AIR QUALITY AND CLIMATE ISSUES Daniel J. Jacob WELL-DOCUMENTED TREND IN TROPOSPHERIC OZONE BACKGROUND OVER 20th CENTURY models seem unable to reproduce it quantitatively Observations from European mountain sites [Marenco et al., 1994] UNCERTAINTY IN PREINDUSTRIAL OZONE: MODELS ARE HIGHER THAN 19th CENTURY OBSERVATIONS Radiative forcing from ozone could be much higher than given by IPCC! Global simulation of late 19th century ozone observations with the GISS GCM Standard model: F = 0.44 W m 2 "Adjusted" model (lightning and soil NOx decreased, [Mickley et al., 2001] biogenic hydrocarbons increased): INTERCONTINENTAL TRANSPORT OF OZONE POLLUTION: SURFACE OZONE ENHANCEMENTS CAUSED BY ANTHROPOGENIC EMISSIONS FROM DIFFERENT CONTINENTS GEOS-CHEM model, July 1997 North America Europe Asia Li et al. [2002] OZONE BACKGROUND OVER U.S. IS GENERALLY DEPLETED DURING REGIONAL POLLUTION EPISODES due to deposition and chemical loss under stagnant conditions O3 vs. (NOy-NOx) At Harvard Forest, Massachusetts Observed (J.W. Munger) model (GEOS-CHEM) model background background 2.5km N American boundary layer Clean conditions BACKGROUND Polluted conditions Fiore et al. [2002] Pollution coordinate FREQUENCY DISTRIBUTION OF AFTERNOON BACKGROUND OZONE CONCENTRATIONS IN U.S. SURFACE AIR IN SUMMER 1995 (model) summer ensemble vs. pollution episodes Convection upwind occasionally results in high background during pollution episodes SURFACE OZONE ENHANCEMENTS OVER U.S. IN SUMMER DUE TO ASIAN & EUROPEAN ANTHROPOGENIC EMISSIONS Global 3-D model results (GEOS-CHEM) sampled for ensemble of summer days over the U.S. Subsidence of Asian pollution + local production tropical air stagnation European standards U.S. standard Fiore et al. [2002] Combined effects of future anthropogenic emission trends on U.S. ozone air quality and on global climate: importance of methane! Ozone pollution NO x NO C x VO C ba 0A 1 20 3 se ) CH 4 VO CH 4 A1 B1 203 0 20 30 50 % IPCC scenario 50 % Fossil fuel NOx emissions (2020 vs. present) Global U.S. +80% +10% -30% -60% Methane concentration (2020 vs. present) +35% +20% 50 % 19 9 50 % 50 A1 B1 Fiore et al. [2002] 203 0 5( NM 50 % NM % B1 NORTH AMERICAN OZONE OUTFLOW IN SURFACE AIR Simulated concentrations and fluxes of North American pollution ozone GEOS-CHEM results for 1997 L H L H APRIL JULY Li et al. [2002] TRANSPORT OF U.S. OZONE POLLUTION TO BERMUDA IN SPRING Observations Observations (GEOS-CHEM) from (S. Oltmans) S. Oltmans r = 0.82, bias 1.8 ppbv model source GEOS-CHEM attribution (S. Oltmans) model Most of surface ozone over Bermuda in spring originates from the U.S. (outflow behind cold fronts); stratosphere contributes less than 5 ppbv Li et al. [2002] OZONE PROFILE AT BERMUDA, APRIL 1996 (SEASONAL MAXIMUM) Stratospheric source of ozone is unimportant throughout tropospheric column Ozonesonde data (n = 28) from S. Oltmans Li et al. [2002] APRIL OZONE CLIMATOLOGY OVER NORTH AMERICA Ozonesonde observations (1988-2000) GEOS-CHEM model (1996) Model can reproduce observations without invoking stratospheric influence Li et al. [2002] PREVIOUS ARGUMENT FOR HIGH-ALTITUDE SOURCE OF OZONE AT BERMUDA FROM TRAJECTORY ANALYSES Oltmans and Levy [1994]: "On days with high ozone ... the trajectories all come from north of 50N and altitudes near 600 mb." Moody et al. [1995]: "High-ozone events are associated with high-speed subsident flow of North American continental origin" Moody et al. [1995] GEOS-CHEM SIMULATION REPRODUCES ASSOCIATION OF HIGH OZONE AT BERMUDA WITH SUBSIDING TRAJECTORIES FROM NW March 18, 1996 event: 290 K back-trajectory Subsiding air Cold front Ozone pollution NORTH AMERICA BERMUDA Continental ozone pollution mixes with subsiding air behind cold fronts Li et al. [2002] ANOTHER EXAMPLE: GEOS-CHEM SIMULATION OF APRIL 13, 1996 EVENT Li et al. [2002] GEOS-CHEM SIMULATION REPRODUCES OBSERVED CORRELATIONS OF OZONE WITH 7Be AND 210Pb AT BERMUDA AND TENERIFE (3 km) BERMUDA + for both 7Be and 210Pb: consistent with Huang et al. [JGR 1999] TENERIFE + for 7Be, - for consistent 210Pb: with Prospero et al. [GRL 1995] Ozone at Tenerife is mostly produced in middle troposphere Li et al. [2002] OZONE DATA AT MACE HEAD, IRELAND: North American pollution signal is there but faint Time series, Mar-Aug 1997 GEOS-CHEM Observed [Simmonds] model N.America pollution events in model Model vs. observed stats, 1993-1997 Li et al. [2002] EFFECT OF NORTH AMERICAN SOURCES ON VIOLATIONS OF EUROPEAN AIR QUALITY STANDARD (55 ppbv, 8-h average) GEOS-CHEM model results, summer 1997 Number of violation days (out of 92) # of violation days that would not have been in absence of N.American emissions Li et al. [2002] TRANSPORT OF U.S. POLLUTION TO EUROPE: CORRELATION WITH THE NAO INDEX NAO index = normalized surface P anomaly between Iceland and Azores North Atlantic Oscillation (NAO) Index North American ozone pollution enhancement At Mace Head, Ireland (GEOS-CHEM model) r = 0.57 Li et al. [2002] Greenhouse warming NAO index shift change in transatlantic transport of pollution Enhancements in Asian surface ozone due to European anthropogenic emissions (GEOS-CHEM, 1996) Liu et al. [2002] GLOBAL MODEL ANALYSIS OF OZONESONDE OBSERVATIONS ALONG THE PACIFIC RIM (1993-1997) Hong Kong, 1996 High UT variability at Hong Kong in winter-spring reflects alternance of tropical and stratospheric influences 300-120 hPa observations GEOS-CHEM model 700-300 hPa 850-700 hPa Spring enhancement from SE Asian biomass burning Liu et al. [2002] ALTERNANCE OF TROPICAL AND STRATOSPHERIC INFLUENCES IN WINTER UT OVER HONG KONG: comparison of Dec 24, 1996 and Jan 6, 1997 Observed GEOS-CHEM Sonde and model profiles Model ozone concentrations and fluxes, 200 hPa Stratospheric ozone tracer at longitude of Hong Kong Liu et al. [2002] SUMMER UT OZONE POLLUTION EVENT OVER HONG KONG August 21, 1996 Asian pollution Sonde and model profiles Observed GEOS-CHEM Model enhancement of ozone concentrations and fluxes due to Asian anthropogenic sources Liu et al. [2002] LARGE MODEL OVERESTIMATE OF O3 OVER S. ASIA: aerosol effects are not enough to fix it MOZAIC aircraft observations (1995-99) GEOS-CHEM with full aerosol photochemistry 2 2 3 GEOS-CHEM w/o radiative effects or uptake of HO , NO , or NO by aerosols Martin et al. [2002] GOME RETRIEVAL OF TROPOSPHERIC NO2 vs. GEOS-CHEM SIMULATION (July 1996) Martin et al. [2002] GEIA emissions scaled to 1996 CAN WE USE GOME TO ESTIMATE NOx EMISSIONS? TEST IN U.S. WHERE GOOD A PRIORI EXISTS Comparison of GOME retrieval (July 1996) to ...

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Harvard - MATH - 265
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Harvard - MATH - 21
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Harvard - MATH - 21
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Harvard - MATH - 21
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Harvard - MATH - 21
Determinant Properties 3/19/2002Homework for Thursday, March 21, 6.2 Nr. 3,4,6,16*,36,40*Math 21b, O. KnillREMINDER. The determinant of a square matrix A = aij was defined as the sum over all possible products (-1) a1(1) an(n) , where (-1) is
Harvard - MATH - 21
2/14/2002, LINEAR TRANSFORMATIONS (II)HOMEWORK: 2.2: 4,8,10,32,47*,50*, 2.3: 10,20,26*,30,40,42*Math 21b, O. KnillINVERSE OF LINEAR TRANSFORMATION. If A is a n n matrix and T : x Ax has an inverse S, then S is linear and the A-1 , the matrix b
Harvard - MATH - 21
Gram-Schmidt process and QR factorization 3/8/2002Homework: Section 5.2, 2,14,16,34,40,42Math 21b, O. KnillMOTIVATION. The Gram-Schmidt process is an algorithm to build from an arbitrary basis an orthonormal basis. Why do we care to have an orth
Harvard - MATH - 21
2/21/2002, IMAGE AND KERNELHOMEWORK: 3.1 10,22,34,38*,44,48*Math 21b, O. KnillIMAGE. If T : Rn Rm is a linear transformation, then {T (x) | x Rn } is called the image of T . If T (x) = Ax, then the image of T is also called the image of A. We
Harvard - MATH - 21
Diagonalise to solve Markov process 4/4/2002Math 21b, O. KnillThe percentage of people using Apple OS X or the Gnu/Linux m . Let 2/3 operating system is represented by a vector v = l be the percentage of Mac OS X users, who switch to Linux each m
Harvard - MATH - 21
2/7/2002, MATRICES AND GAUSS-JORDANHOMEWORK: 1.2: 6,11,18,20,30,38*, 1.3:4,14,26*,34,48,50, Due: Tue 2/12/2002Math 21b, O. KnillMATRIX REFORMULATION. Consider the The system can be written as Ax = b, where A is a matrix system of linear equation
Harvard - MATH - 21
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Harvard - MATH - 21
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Harvard - MATH - 21
2/19/2002, LINEAR TRANSFORMATIONS (III)HOMEWORK: 2.4: 4,14,26*,28,40,48Math 21b, O. KnillMATRIX PRODUCT. If B is a m n matrix and A is a n p matrix, then BA is a m p matrix with entries n (BA)ij = k=1 Bik Akj . EXAMPLE. If B is a 3 4 matrix,
Harvard - MATH - 21
2/12/2002, LINEAR TRANSFORMATIONS (I)HOMEWORK: due Thursday 2.1: 10,20,26*,30,40,42* 4,8*,10,20,28,42*, (Due next Tuesday:Math 21b, O. Knill2.2: 4,8,10,32,47*,50*, 2.3:LINEAR TRANSFORMATION. A map T from Rn to Rm is called a linear transformati
Harvard - MATH - 21
Least Squares and Data fitting 3/14/2002HOMEWORK: 5.4 2,4,10,22,26,38Math 21b, O. KnillGOAL. We want to find "solutions" of a linear systems Ax = b also in the case when the system is not consistent. The best possible solution will be called the
Harvard - MATH - 21
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Harvard - MATH - 21
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Harvard - MATH - 21
FIRST MIDTERM REVIEWGENERAL TIPS. Practice midterm, practice TF questions, Make list of facts on a sheet of paper, Fresh up short-term memory before test Review homework, especially errors. Find error patterns.Math 21a Ask questions: Ask a q