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Load PCS:
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clear cd /home/disk/hayes2/dvimont/csiro/matlab_data/Heat_Content load LP10_detrend_L1-7_yr101-1000.mat pcs = -1*pcs; lev = 1:3; lims = [178 272 -3 3]; nfrm = -15:15; tim = 101:1000; cd ~/matlab/CSIRO/Heat/Old_routines [utem, vtem, lat_out, lon_out, depth_out] = ... get_ubar_gradtprime(pcs, lims, nfrm, tim, lev); ubtp13 = squeeze(mean(utem)); vbtp13 = squeeze(mean(vtem)); [utem, vtem, lat_out, lon_out, depth_out] = ... get_uprime_gradtbar(pcs, lims, nfrm, tim, lev); uptb13 = squeeze(mean(utem)); vptb13 = squeeze(mean(vtem)); [wtem, lat_out, lon_out] = ... get_wbar_dtprimedz(pcs, lims, nfrm, tim, lev); wbtp13 = squeeze(mean2(mean2(shiftdim(wtem, 1))))'; [wtem, lat_out, lon_out] = ... get_wprime_dtbardz(pcs, lims, nfrm, tim, lev); wptb13 = squeeze(mean2(mean2(shiftdim(wtem, 1))))'; tim2 = 100:1000; ntim = length(tim2); hc13 = getheat(lev, tim2, lims); dhc13dt = (hc13(3:ntim,:,:) - hc13(1:(ntim-2),:,:)) / (2*3600*24*365); hc13 = hc13(2:ntim,:,:); ntim = length(tim); hc13 = regress_eof(hc13, pcs, nfrm); dhc13dt = regress_eof(dhc13dt, pcs(1:(ntim-1), :), nfrm); hc13 = squeeze(mean2(mean2(shiftdim(hc13, 1))))'; dhc13dt = squeeze(mean2(mean2(shiftdim(dhc13dt, 1))))'; hflx = getnc('heat', lims, 1, tim); hflx = regress_eof(hflx, pcs, nfrm); hflx = squeeze(mean2(mean2(shiftdim(hflx, 1))))'; % Plot the data; ubtp = -1*(ubtp13 + vbtp13 + wbtp13); uptb = -1*(uptb13 + vptb13 + wptb13); figure(1); subplot(2,1,1); h1 = plot(... nfrm, ubtp, 'x--k', ... nfrm, uptb, 'o--k', ... nfrm, hflx, 'v--k', ... nfrm, dhc13dt, 'd-.k', ... nfrm, 1.5e-8*hc13, '-k'); axis([-10 10 -2 2]); grid on xlabel('Lag (in years)'); ylabel('W m^-^2'); title('0-80m Integrated Heat Content Anomaly Tendency Terms'); legend(h1, 'Ubar Grad(T'')', 'U'' Grad(Tbar)', 'Net Heat Flux', 'dHC/dt', 'HC (scaled)'); % Get lower layer cd ~/matlab/CSIRO/Heat/Old_routines lev = 1:7; [utem, vtem, lat_out, lon_out, depth_out] = ... get_ubar_gradtprime(pcs, lims, nfrm, tim, lev); ubtp17 = squeeze(mean(utem)); vbtp17 = squeeze(mean(vtem)); [utem, vtem, lat_out, lon_out, depth_out] = ... get_uprime_gradtbar(pcs, lims, nfrm, tim, lev); uptb17 = squeeze(mean(utem)); vptb17 = squeeze(mean(vtem)); [wtem, lat_out, lon_out] = ... get_wbar_dtprimedz(pcs, lims, nfrm, tim, lev); wbtp17 = squeeze(mean2(mean2(shiftdim(wtem, 1))))'; [wtem, lat_out, lon_out] = ... get_wprime_dtbardz(pcs, lims, nfrm, tim, lev); wptb17 = squeeze(mean2(mean2(shiftdim(wtem, 1))))'; tim2 = 100:1000; ntim = length(tim2); hc17 = getheat(lev, tim2, lims); dhc17dt = (hc17(3:ntim,:,:) - hc17(1:(ntim-2),:,:)) / (2*3600*24*365); hc17 = hc17(2:ntim,:,:); ntim = length(tim); hc17 = regress_eof(hc17, pcs, nfrm); dhc17dt = regress_eof(dhc17dt, pcs(1:(ntim-1), :), nfrm); hc17 = squeeze(mean2(mean2(shiftdim(hc17, 1))))'; dhc17dt = squeeze(mean2(mean2(shiftdim(dhc17dt, 1))))'; lev = 1:4 [utem, vtem, lat_out, lon_out, depth_out] = ... get_ubar_gradtprime(pcs, lims, nfrm, tim, lev); ubtp14 = squeeze(mean(utem)); vbtp14 = squeeze(mean(vtem)); [utem, vtem, lat_out, lon_out, depth_out] = ... get_uprime_gradtbar(pcs, lims, nfrm, tim, lev); uptb14 = squeeze(mean(utem)); vptb14 = squeeze(mean(vtem)); [wtem, lat_out, lon_out] = ... get_wbar_dtprimedz(pcs, lims, nfrm, tim, lev); wbtp14 = squeeze(mean2(mean2(shiftdim(wtem, 1))))'; [wtem, lat_out, lon_out] = ... get_wprime_dtbardz(pcs, lims, nfrm, tim, lev); wptb14 = squeeze(mean2(mean2(shiftdim(wtem, 1))))'; tim2 = 100:1000; ntim = length(tim2); hc14 = getheat(lev, tim2, lims); dhc14dt = (hc14(3:ntim,:,:) - hc14(1:(ntim-2),:,:)) / (2*3600*24*365); hc14 = hc14(2:ntim,:,:); ntim = length(tim); hc14 = regress_eof(hc14, pcs, nfrm); dhc14dt = regress_eof(dhc14dt, pcs(1:(ntim-1), :), nfrm); hc14 = squeeze(mean2(mean2(shiftdim(hc14, 1))))'; dhc14dt = squeeze(mean2(mean2(shiftdim(dhc14dt, 1))))'; taux = getnc('taux', [165 210 -3 3], 1, tim); taux = regress_eof(taux, pcs, nfrm); taux = squeeze(mean2(taux')); % Plot lower level ubtp57 = -1*(ubtp17 + vbtp17 + wbtp17) - -1*(ubtp14 + vbtp14 + wbtp14); uptb57 = -1*(uptb17 + vptb17 + wptb17) - -1*(uptb14 + vptb14 + wptb14); hc57 = hc17 - hc14; dhc57dt = dhc17dt - dhc14dt; subplot(2,1,2); h1 = plot(... nfrm, ubtp57, 'x--k', ... nfrm, uptb57, 'o--k', ... nfrm, 1e2*taux, '>-.k', ... nfrm, dhc57dt, 'd-.k', ... nfrm, 1.5e-8*hc57, '-k'); axis([-10 10 -1.5 1.5]); grid on xlabel('Lag (in years)'); ylabel('W m^-^2'); title('80-270m Integrated Heat Content Anomaly Tendency Terms'); legend(h1, 'Ubar Grad(T'')', 'U'' Grad(Tbar)', 'Zonal Wind Stress',... 'dHC/dt', 'HC (scaled)'); cd /home/disk/tao/dvimont/matlab/CSIRO/Heat/GRL_Figs % Plot all the terms ubtp47 = ubtp17 - ubtp13; vbtp47 = ubtp17 - vbtp13; wbtp47 = ubtp17 - wbtp13; uptb47 = uptb17 - uptb13; vptb47 = vptb17 - vptb13; wptb47 = wptb17 - wptb13; hc47 = hc17 - hc13; dhc47dt = dhc17dt - dhc13dt; figure(1); figure_landscape(1); subplot(1,1,1); h1 = plot(... nfrm, -ubtp13, 'x-k', ... nfrm, -vbtp13, 'o-k', ... nfrm, -wbtp13, 'v-k', ...; nfrm, -uptb13, '*--k', ... nfrm, -vptb13, 's--k', ... nfrm, -wptb13, '^--k', ... nfrm, hflx, '>-.k', ... nfrm, dhc13dt, 'd-.k', ... nfrm, 1e-8*hc13, '-k', ... nfrm, 35*taux, '--k'); set(h1(9:10), 'linewidth', 2); grid on xlabel('Lag (in years)'); ylabel('W m^-^2'); title('0-80m Integrated Anomalous Heat Content Tendency Terms'); axis([-10 10 -2 1.5]); legend(h1, 'Ubar dHC''/dx', 'Vbar dHC''/dy', 'Wbar dHC''dz',... 'U'' dHCbar/dx', 'V'' dHCbardy', 'W'' dHCbardz',... 'Net Heat Flux', 'dHC''/dt', 'HC (scaled)', 'TAUX (scaled)'); cd /home/disk/tao/dvimont/matlab/CSIRO/Heat/GRL_Figs figure(2); figure_landscape(1); h1 = plot(... nfrm, -ubtp47, 'x-k', ... nfrm, -vbtp47, 'o-k', ... nfrm, -wbtp47, 'v-k', ...; nfrm, -uptb47, '*--k', ... nfrm, -vptb47, 's--k', ... nfrm, -wptb47, '^--k', ... nfrm, dhc47dt, 'd-.k', ... nfrm, 1e-8*hc47, '-k', ...; nfrm, 35*taux, '--k') set(h1(8:9), 'linewidth', 2); grid on xlabel('Lag (in years)'); ylabel('W m^-^2'); title('80-270m Integrated Anomalous Heat Content Tendency Terms'); axis([-10 10 -1 2]); legend(h1, 'Ubar dHC''/dx', 'Vbar dHC''/dy', 'Wbar dHC''dz',... 'U'' dHCbar/dx', 'V'' dHCbardy', 'W'' dHCbardz',... 'dHC''/dt', 'HC (scaled)', 'TAUX (scaled)'); cd /home/disk/tao/dvimont/matlab/CSIRO/Heat/GRL_Figs % Look at heat content and wind stress only clear % Load PCS: cd /home/disk/hayes2/dvimont/csiro/matlab_data/Heat_Content load LP10_detrend_L1-7_yr101-1000.mat load RAW_detrend_L1-7_EOF_yr101-1000.mat pcs = -1*pcs; lev = 1:3; lims = [178 272 -3 3]; nfrm = -25:25; tim = 101:1000; hc13 = getheat(1:3, tim, lims); hc46 = getheat(4:6, tim, lims); hc79 = getheat(7:9, tim, lims); sst = getnc('temp', lims, 1, tim); taux = getnc('taux', [165 210 -3 3], 1, tim); [lat, lon, depthw] = getll('wl', lims); [tem, hc13] = regress_eof(hc13, pcs, nfrm); [tem, hc46] = regress_eof(hc46, pcs, nfrm); [tem, hc79] = regress_eof(hc79, pcs, nfrm); [tem, sst] = regress_eof(sst, pcs, nfrm); [tem, taux] = regress_eof(taux, pcs, nfrm); hc13 = squeeze(mean(mean(shiftdim(hc13, 1)))); hc46 = squeeze(mean(mean(shiftdim(hc46, 1)))); hc79 = squeeze(mean(mean(shiftdim(hc79, 1)))); sst = squeeze(mean(mean(shiftdim(sst, 1)))); taux = squeeze(mean(taux, 2)); taux2 = 1.8 * taux2 / max(taux2); sst2 = 1.6 * sst2 / max(sst2); h13 = 1.4 * h13 / max(h13); h46 = 1.2 * h46 / max(h46); h79 = 1.0 * h79 / max(h79); figure(1); figure_landscape; h1 = plot(... nfrm, hc79, ':k', ... nfrm, hc46, '--k', ... nfrm, hc13, '-.k', ... nfrm, sst, 'o-k', ... nfrm, taux, 'x-k'); axis([-15 15 -1 2]) set(gca, 'XTick', [-20:2:20]); grid on title(['Lagged Regression (scaled) of Various Equatorial Indices on PC1 ' ... 'of 0-270m Heat Content']); xlabel('Lag in Years'); ylabel('Scaled Regression Coefficient'); legend(h1, '210-470m Heat Content', '80-210m Heat Content', ... '0-80m Heat Content', '12.5m Temperature', ... 'Zonal Wind Stress') cd /home/disk/tao/dvimont/matlab/CSIRO/Heat/GRL_Figs % Look at each level individually clear lev = 1:3; lims = [178 272 -3 3]; nfrm = -25:25; tim = 101:1000; % Get CT index ct = getnc('temp', [178 272 -6 6], 1, tim); ct = getheat(1:7, tim, [178 272 -6 6]); ct = squeeze(mean(mean(ct, 2), 3)); ct = detrend(ct); [b, a] = butter(6, 2/10); ct = filtfilt(b, a, ct); pcs = ct./std(ct); % Load PCS: cd /home/disk/hayes2/dvimont/csiro/matlab_data/Heat_Content load LP10_detrend_L1-7_yr101-1000.mat load RAW_detrend_L1-7_EOF_yr101-1000.mat pcs = -1*pcs; [lat, lon, depth] = getll('temp', lims); temp = getnc('temp', lims, 1:10, tim); temp = squeeze(mean(mean(temp, 3),4)); taux = getnc('taux', [165 210 -3 3], 1, tim); taux = squeeze(mean(taux, 2)); [b, a] = butter(6, 2/10); temp = filtfilt(b, a, detrend(temp)); taux = filtfilt(b, a, detrend(taux)); [tem, tcoef] = regress_eof(temp, pcs, nfrm); [tem, xcoef] = regress_eof(taux, pcs, nfrm); figure(1); figure_landscape(1); subplot(1,1,1); h1 = plot(... nfrm, tcoef(:,8), 'v-k', ... nfrm, tcoef(:,7), '*-k', ... nfrm, tcoef(:,6), '^-k', ... nfrm, tcoef(:,5), '<-k', ... nfrm, tcoef(:,3), 's-k', ... nfrm, tcoef(:,1), 'o-k', ... nfrm, xcoef, 'x-k'); set(h1(7), 'linewidth', 2); axis([-9 7 -.5 1.1]); grid on set(gca, 'XTick', [-20:2:20], 'YTick', [-0.5:.25:1]); title(['Lagged Correlation between EQ Temp at various depths, and PC1 ' ... 'of 0-270m Heat Content']); xlabel('Lag in Years'); ylabel('Correlation Coefficient'); legend(h1, '310m Temp', '240m Temp', '185m Temp', '138m Temp', ... '65m Temp', '12.5m Temp', 'Zonal Wind Stress'); cd /home/disk/tao/dvimont/matlab/CSIRO/Heat/GRL_Figs nfrm, tcoef(:,9), 'v-k', ... nfrm, tcoef(:,2), '<-k', ... nfrm, tcoef(:,1), 'o-k', ...