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ms_loadsens2.m
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ms_loadsens2.m
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% --------------------------------------------------------------------
% subroutine to load the variables
% note: preferably run "main"
% --------------------------------------------------------------------
% --------------------------------------------------------------------
% Load observational data
% --------------------------------------------------------------------
% only needed if evaluation is performed
if flags.eval == 1
% load CRU data
[~, ~, T2M_cru , PRECT_cru ] = mf_load('CRU_1981-2010_timmean.nc' , 'T2M', 'Prec');
[~, ~, T2M_cru_mm, PRECT_cru_mm] = mf_load('CRU_1981-2010_ymonmean.nc', 'T2M', 'Prec');
% load ERA-interim/Land data
[~, ~, ET_eral , QRUNOFF_eral ] = mf_load('ERAL_1981-2010_timmean.nc' , 'ET', 'RUNOFF');
[~, ~, ET_eral_mm, QRUNOFF_eral_mm] = mf_load('ERAL_1981-2010_ymonmean.nc', 'ET', 'RUNOFF');
% load FLUXNET-MTE data
[~, ~, LHF_mte_8210 , SHF_mte_8210 ] = mf_load('MTE_1982-2010_timmean.nc' , 'LHF', 'SHF');
[~, ~, LHF_mte_8210_mm, SHF_mte_8210_mm] = mf_load('MTE_1982-2010_ymonmean.nc', 'LHF', 'SHF');
% load GHCNDEX data
[~, ~, TXx_ghcn , TNn_ghcn ] = mf_load('GHCNDEX_1981-2010_timmean.nc' , 'TXx', 'TNn');
[~, ~, TXx_ghcn_mm, TNn_ghcn_mm] = mf_load('GHCNDEX_1981-2010_ymonmean.nc', 'TXx', 'TNn');
% load GPCP data
[~, ~, PRECT_gpcp ] = mf_load('GPCP_1981-2010_timmean.nc' , 'Prec');
[~, ~, PRECT_gpcp_mm] = mf_load('GPCP_1981-2010_ymonmean.nc', 'Prec');
% load HadEx2 data
[~, ~, TXx_had , TNn_had ] = mf_load('HadEX2_1981-2010_timmean.nc' , 'TXx', 'TNn');
[~, ~, TXx_had_mm, TNn_had_mm] = mf_load('HadEX2_1981-2010_ymonmean.nc', 'TXx', 'TNn');
% load irrigation amount data
[~, ~, QIRR_obs] = mf_load('IRAM_2000.nc', 'QIRRIG');
QIRR_obs(QIRR_obs < 0) = 0; % remove unphysical values
% load LandFlux-EVAL data
[~, ~, ET_lfev_8905 ] = mf_load('LFEV_1989-2005_timmean.nc' , 'ET_mean');
[~, ~, ET_lfev_8905_mm] = mf_load('LFEV_1989-2005_ymonmean.nc', 'ET_mean');
% load GLEAM data
[~, ~, ET_glea ] = mf_load('GLEAM_1981-2010_timmean.nc' , 'ET_mean');
[~, ~, ET_glea_mm] = mf_load('GLEAM_1981-2010_ymonmean.nc', 'ET_mean');
% load GEWEX-SRB data
[~, ~, SWnet_srb_8407 , LWnet_srb_8407 ] = mf_load('SRB_1984-2007_timmean.nc' , 'SWnet', 'LWnet');
[~, ~, SWnet_srb_8407_mm, LWnet_srb_8407_mm] = mf_load('SRB_1984-2007_ymonmean.nc', 'SWnet', 'LWnet');
end
% --------------------------------------------------------------------
% Load CESM model data
% --------------------------------------------------------------------
% load 2D model constants (pct_irr = percent of grid cell that is irrigated, see mksrfdat.F90)
[lat_mod, lon_mod, pct_irr, pct_land, area] = mf_load('f.e122.F1850PDC5.f09_g16.irrigation-io192.001_constants.nc', 'PCT_IRRIG', 'landfrac', 'AREA');
% load 2D model atm variables
[~, ~, TS_ctl, TXx_ctl, TNn_ctl, PRECT_ctl, CDD_ctl, HWDI_ctl, WSDI_ctl, PSL_ctl] = mf_load('f.e122.F1850PDC5.f09_g16.control-io192.ensmean_atm_h1_timmean.nc' , 'TS', 'TXx', 'TNn', 'PRECT', 'CDD', 'HWDI', 'WSDI', 'PSL');
[~, ~, TS_irr, TXx_irr, TNn_irr, PRECT_irr, CDD_irr, HWDI_irr, WSDI_irr, PSL_irr] = mf_load('f.e122.F1850PDC5.f09_g16.irrigation-io192.ensmean_atm_h1_timmean.nc', 'TS', 'TXx', 'TNn', 'PRECT', 'CDD', 'HWDI', 'WSDI', 'PSL');
% load 2D model lnd variables
[~, ~, Rx1day_ctl, Rx5day_ctl, QIRR_ctl, QRUNOFF_ctl, ET_ctl, T2M_ctl, TV_ctl, LHF_ctl, SHF_ctl] = mf_load('f.e122.F1850PDC5.f09_g16.control-io192.ensmean_lnd_h1_timmean.nc' , 'Rx1day', 'Rx5day', 'QIRRIG', 'QRUNOFF', 'ET', 'TSA', 'TV', 'Qle', 'FSH');
[~, ~, Rx1day_irr, Rx5day_irr, QIRR_irr, QRUNOFF_irr, ET_irr, T2M_irr, TV_irr, LHF_irr, SHF_irr] = mf_load('f.e122.F1850PDC5.f09_g16.irrigation-io192.ensmean_lnd_h1_timmean.nc', 'Rx1day', 'Rx5day', 'QIRRIG', 'QRUNOFF', 'ET', 'TSA', 'TV', 'Qle', 'FSH');
% load 2D model lnd variables
[~, ~, Rx1day_ctl, Rx5day_ctl, QIRR_ctl, QRUNOFF_ctl, ET_ctl, T2M_ctl, TV_ctl, LHF_ctl, SHF_ctl] = mf_load('f.e122.F1850PDC5.f09_g16.control-io192.ensmean_lnd_h1_timmean.nc' , 'Rx1day', 'Rx5day', 'QIRRIG', 'QRUNOFF', 'ET', 'TSA', 'TV', 'Qle', 'FSH');
[~, ~, Rx1day_irr, Rx5day_irr, QIRR_irr, QRUNOFF_irr, ET_irr, T2M_irr, TV_irr, LHF_irr, SHF_irr] = mf_load('f.e122.F1850PDC5.f09_g16.irrigation-io192.ensmean_lnd_h1_timmean.nc', 'Rx1day', 'Rx5day', 'QIRRIG', 'QRUNOFF', 'ET', 'TSA', 'TV', 'Qle', 'FSH');
% --------------------------------------------------------------------
% LOAD REGRESSION DATA - CONTROL - TXx
% --------------------------------------------------------------------
% load 2D model atm variables - CONTROL
% load member 1_control
[~, ~, TXx_ctl_m1, lat, lon, time] = mf_load('f.e122.F1850PDC5.f09_g16.control-io192.001_atm_h1_yearmean_selname.nc', 'TXx', 'lat', 'lon', 'time'); % load member 1_control
TXx_ctl_m1=permute(TXx_ctl_m1,[2,1,3]); %288x192
M = numel(lon); % load slope / regress
N = numel(lat);
slope_TXx_m1ctl = zeros(M, N);
intercept_TXx_m1ctl = zeros(M, N);
T = numel(years);
[p, q] = meshgrid(1 : T);
p = p(:);
q = q(:);
m = numel(p);
for i = 1 : M
for j = 1 : N
% Get all time instances of each lat/lon location
y = squeeze(TXx_ctl_m1(i, j, :));
% Find all possible pairs of slopes and intercepts
ss = zeros(m, 1);
ints = zeros(m, 1);
for k = 1 : m
x1 = years(p(k));
y1 = y(p(k));
x2 = years(q(k));
y2 = y(q(k));
s = (y2 - y1) / (x2 - x1);
in = y1 - s*x1;
ss(k) = s;
ints(k) = in;
end
% Find the median slope
[~, ind] = sort(ss);
med_ind = floor(m / 2) + 1;
slope_TXx_m1ctl(i, j) = ss(ind(med_ind));
intercept_TXx_m1ctl(i, j) = ints(ind(med_ind));
end
end
slope_TXx_m1ctl=permute(slope_TXx_m1ctl,[2,1,3]);
slope_TXx_m1ctl(~island)=NaN;
% load member 2_control
[~, ~, TXx_ctl_m2, lat, lon, time] = mf_load('f.e122.F1850PDC5.f09_g16.control-io192.002_atm_h1_yearmean_selname.nc', 'TXx', 'lat', 'lon', 'time'); % load member 1_control
TXx_ctl_m2=permute(TXx_ctl_m2,[2,1,3]);
M = numel(lon); % load slope / regress
N = numel(lat);
slope_TXx_m2ctl = zeros(M, N);
intercept_TXx_m2ctl = zeros(M, N);
T = numel(years);
[p, q] = meshgrid(1 : T);
p = p(:);
q = q(:);
m = numel(p);
for i = 1 : M
for j = 1 : N
% Get all time instances of each lat/lon location
y = squeeze(TXx_ctl_m2(i, j, :));
% Find all possible pairs of slopes and intercepts
ss = zeros(m, 1);
ints = zeros(m, 1);
for k = 1 : m
x1 = years(p(k));
y1 = y(p(k));
x2 = years(q(k));
y2 = y(q(k));
s = (y2 - y1) / (x2 - x1);
in = y1 - s*x1;
ss(k) = s;
ints(k) = in;
end
% Find the median slope
[~, ind] = sort(ss);
med_ind = floor(m / 2) + 1;
slope_TXx_m2ctl(i, j) = ss(ind(med_ind));
intercept_TXx_m2ctl(i, j) = ints(ind(med_ind));
end
end
%slope_TXx_m2ctl(~island')=NaN;
slope_TXx_m2ctl=permute(slope_TXx_m2ctl,[2,1,3]);
slope_TXx_m2ctl(~island)=NaN;
% load member 3_control
[~, ~, TXx_ctl_m3, lat, lon, time] = mf_load('f.e122.F1850PDC5.f09_g16.control-io192.003_atm_h1_yearmean_selname.nc', 'TXx', 'lat', 'lon', 'time'); % load member 1_control
TXx_ctl_m3=permute(TXx_ctl_m3,[2,1,3]);
M = numel(lon); % load slope / regress
N = numel(lat);
slope_TXx_m3ctl = zeros(M, N);
intercept_TXx_m3ctl = zeros(M, N);
T = numel(years);
[p, q] = meshgrid(1 : T);
p = p(:);
q = q(:);
m = numel(p);
for i = 1 : M
for j = 1 : N
% Get all time instances of each lat/lon location
y = squeeze(TXx_ctl_m3(i, j, :));
% Find all possible pairs of slopes and intercepts
ss = zeros(m, 1);
ints = zeros(m, 1);
for k = 1 : m
x1 = years(p(k));
y1 = y(p(k));
x2 = years(q(k));
y2 = y(q(k));
s = (y2 - y1) / (x2 - x1);
in = y1 - s*x1;
ss(k) = s;
ints(k) = in;
end
% Find the median slope
[~, ind] = sort(ss);
med_ind = floor(m / 2) + 1;
slope_TXx_m3ctl(i, j) = ss(ind(med_ind));
intercept_TXx_m3ctl(i, j) = ints(ind(med_ind));
end
end
%slope_TXx_m3ctl(~island')=NaN;
slope_TXx_m3ctl=permute(slope_TXx_m3ctl,[2,1,3]);
slope_TXx_m3ctl(~island)=NaN;
% load member 4_control
[~, ~, TXx_ctl_m4, lat, lon, time] = mf_load('f.e122.F1850PDC5.f09_g16.control-io192.004_atm_h1_yearmean_selname.nc', 'TXx', 'lat', 'lon', 'time'); % load member 1_control
TXx_ctl_m4=permute(TXx_ctl_m4,[2,1,3]);
M = numel(lon); % load slope / regress
N = numel(lat);
slope_TXx_m4ctl = zeros(M, N);
intercept_TXx_m4ctl = zeros(M, N);
T = numel(years);
[p, q] = meshgrid(1 : T);
p = p(:);
q = q(:);
m = numel(p);
for i = 1 : M
for j = 1 : N
% Get all time instances of each lat/lon location
y = squeeze(TXx_ctl_m4(i, j, :));
% Find all possible pairs of slopes and intercepts
ss = zeros(m, 1);
ints = zeros(m, 1);
for k = 1 : m
x1 = years(p(k));
y1 = y(p(k));
x2 = years(q(k));
y2 = y(q(k));
s = (y2 - y1) / (x2 - x1);
in = y1 - s*x1;
ss(k) = s;
ints(k) = in;
end
% Find the median slope
[~, ind] = sort(ss);
med_ind = floor(m / 2) + 1;
slope_TXx_m4ctl(i, j) = ss(ind(med_ind));
intercept_TXx_m4ctl(i, j) = ints(ind(med_ind));
end
end
%slope_TXx_m4ctl(~island')=NaN;
slope_TXx_m4ctl=permute(slope_TXx_m4ctl,[2,1,3]);
slope_TXx_m4ctl(~island)=NaN;
% load member 5_control
[~, ~, TXx_ctl_m5, lat, lon, time] = mf_load('f.e122.F1850PDC5.f09_g16.control-io192.005_atm_h1_yearmean_selname.nc', 'TXx', 'lat', 'lon', 'time'); % load member 1_control
TXx_ctl_m5=permute(TXx_ctl_m5,[2,1,3]);
M = numel(lon); % load slope / regress
N = numel(lat);
slope_TXx_m5ctl = zeros(M, N);
intercept_TXx_m5ctl = zeros(M, N);
T = numel(years);
[p, q] = meshgrid(1 : T);
p = p(:);
q = q(:);
m = numel(p);
for i = 1 : M
for j = 1 : N
% Get all time instances of each lat/lon location
y = squeeze(TXx_ctl_m5(i, j, :));
% Find all possible pairs of slopes and intercepts
ss = zeros(m, 1);
ints = zeros(m, 1);
for k = 1 : m
x1 = years(p(k));
y1 = y(p(k));
x2 = years(q(k));
y2 = y(q(k));
s = (y2 - y1) / (x2 - x1);
in = y1 - s*x1;
ss(k) = s;
ints(k) = in;
end
% Find the median slope
[~, ind] = sort(ss);
med_ind = floor(m / 2) + 1;
slope_TXx_m5ctl(i, j) = ss(ind(med_ind));
intercept_TXx_m5ctl(i, j) = ints(ind(med_ind));
end
end
%slope_TXx_m5ctl(~island')=NaN;
slope_TXx_m5ctl=permute(slope_TXx_m5ctl,[2,1,3]);
slope_TXx_m5ctl(~island)=NaN;
% load 2D model mean ensemble atm CONTROL for regression
sum_txx_ctl_slope=(slope_TXx_m1ctl + slope_TXx_m2ctl + slope_TXx_m3ctl + slope_TXx_m4ctl + slope_TXx_m5ctl);
%mean_slope_txx_ctl=(sum_txx_ctl_slope/5);
%using ensemble file -same trend as mean above
[~, ~, TXx_ctl_ensmean, lat, lon, time] = mf_load('f.e122.F1850PDC5.f09_g16.control-io192.ensmean_atm_h1_yearmean.nc', 'TXx', 'lat', 'lon', 'time'); % load member 1_control
TXx_ctl_ensmean=permute(TXx_ctl_ensmean,[2,1,3]);
M = numel(lon); % load slope / regress
N = numel(lat);
mean_slope_txx_ctl = zeros(M, N);
mean_intercept_txx_ctl = zeros(M, N);
T = numel(years);
[p, q] = meshgrid(1 : T);
p = p(:);
q = q(:);
m = numel(p);
alpha0 = 0.05; % Level of significance
alpha = alpha0/2; %
p_values_txx_ctl = zeros(M, N);
for i = 1 : M
for j = 1 : N
% Get all time instances of each lat/lon location
y = squeeze(TXx_ctl_ensmean(i, j, :));
% Find all possible pairs of slopes and intercepts
ss = zeros(m, 1);
ints = zeros(m, 1);
for k = 1 : m
x1 = years(p(k));
y1 = y(p(k));
x2 = years(q(k));
y2 = y(q(k));
s = (y2 - y1) / (x2 - x1);
in = y1 - s*x1;
ss(k) = s;
ints(k) = in;
end
% Find the median slope
[~, ind] = sort(ss);
med_ind = floor(m / 2) + 1;
mean_slope_txx_ctl(i, j) = ss(ind(med_ind));
mean_intercept_txx_ctl(i, j) = ints(ind(med_ind));
end
end
%mean_slope_txx_ctl(~island')=NaN;
mean_slope_txx_ctl=permute(mean_slope_txx_ctl,[2,1,3]);
mean_slope_txx_ctl(~island)=NaN;
p_values_txx_ctl=permute(p_values_txx_ctl,[2,1,3]);
p_values_txx_ctl(~island)=NaN;
%mf_plot_dom2(lon_mod, lat_mod, mean_slope_txx_ctl, p_values_txx_ctl, caxes.ddTXx, colormaps.ddTXx, 0, 2, '', '1981-2010, CTL Mean', '\delta TXx /\delta t [K yr^-^1]'); hold on;
%need stat test for comparing 2 variables rather than this for absolute
%values
%H=permute(H,[2,1,3]);
%H(~island)=NaN;
%mf_plot_dom2(lon_mod, lat_mod, mean_slope_txx_ctl, H, caxes.ddTXx, colormaps.ddTXx, 0, 2, '', '1981-2010, CTL Mean', '\delta TXx /\delta t [K yr^-^1]'); hold on;
% --------------------------------------------------------------------
% LOAD REGRESSION DATA - IRRIGATION - TXx
% --------------------------------------------------------------------
% load member 1_irrigation
[~, ~, TXx_irr_m1, lat, lon, time] = mf_load('f.e122.F1850PDC5.f09_g16.irrigation-io192.001_atm_h1_yearmean_selname.nc', 'TXx', 'lat', 'lon', 'time'); % load member 1_control
TXx_irr_m1=permute(TXx_irr_m1,[2,1,3]);
M = numel(lon); % load slope / regress
N = numel(lat);
slope_TXx_m1irr = zeros(M, N);
intercept_TXx_m1irr = zeros(M, N);
T = numel(years);
[p, q] = meshgrid(1 : T);
p = p(:);
q = q(:);
m = numel(p);
for i = 1 : M
for j = 1 : N
% Get all time instances of each lat/lon location
y = squeeze(TXx_irr_m1(i, j, :));
% Find all possible pairs of slopes and intercepts
ss = zeros(m, 1);
ints = zeros(m, 1);
for k = 1 : m
x1 = years(p(k));
y1 = y(p(k));
x2 = years(q(k));
y2 = y(q(k));
s = (y2 - y1) / (x2 - x1);
in = y1 - s*x1;
ss(k) = s;
ints(k) = in;
end
% Find the median slope
[~, ind] = sort(ss);
med_ind = floor(m / 2) + 1;
slope_TXx_m1irr(i, j) = ss(ind(med_ind));
intercept_TXx_m1irr(i, j) = ints(ind(med_ind));
end
end
%slope_TXx_m1irr(~island')=NaN;
slope_TXx_m1irr=permute(slope_TXx_m1irr,[2,1,3]);
slope_TXx_m1irr(~island)=NaN;
% load member 2_irrigation
[~, ~, TXx_irr_m2, lat, lon, time] = mf_load('f.e122.F1850PDC5.f09_g16.irrigation-io192.002_atm_h1_yearmean_selname.nc', 'TXx', 'lat', 'lon', 'time'); % load member 1_control
TXx_irr_m2=permute(TXx_irr_m2,[2,1,3]);
M = numel(lon); % load slope / regress
N = numel(lat);
slope_TXx_m2irr = zeros(M, N);
intercept_TXx_m2irr = zeros(M, N);
T = numel(years);
[p, q] = meshgrid(1 : T);
p = p(:);
q = q(:);
m = numel(p);
for i = 1 : M
for j = 1 : N
% Get all time instances of each lat/lon location
y = squeeze(TXx_irr_m2(i, j, :));
% Find all possible pairs of slopes and intercepts
ss = zeros(m, 1);
ints = zeros(m, 1);
for k = 1 : m
x1 = years(p(k));
y1 = y(p(k));
x2 = years(q(k));
y2 = y(q(k));
s = (y2 - y1) / (x2 - x1);
in = y1 - s*x1;
ss(k) = s;
ints(k) = in;
end
% Find the median slope
[~, ind] = sort(ss);
med_ind = floor(m / 2) + 1;
slope_TXx_m2irr(i, j) = ss(ind(med_ind));
intercept_TXx_m2irr(i, j) = ints(ind(med_ind));
end
end
%slope_TXx_m2irr(~island')=NaN;
slope_TXx_m2irr=permute(slope_TXx_m2irr,[2,1,3]);
slope_TXx_m2irr(~island)=NaN;
% load member 3_irr
[~, ~, TXx_irr_m3, lat, lon, time] = mf_load('f.e122.F1850PDC5.f09_g16.irrigation-io192.003_atm_h1_yearmean_selname.nc', 'TXx', 'lat', 'lon', 'time'); % load member 1_control
TXx_irr_m3=permute(TXx_irr_m3,[2,1,3]);
M = numel(lon); % load slope / regress
N = numel(lat);
slope_TXx_m3irr = zeros(M, N);
intercept_TXx_m3irr = zeros(M, N);
T = numel(years);
[p, q] = meshgrid(1 : T);
p = p(:);
q = q(:);
m = numel(p);
for i = 1 : M
for j = 1 : N
% Get all time instances of each lat/lon location
y = squeeze(TXx_irr_m3(i, j, :));
% Find all possible pairs of slopes and intercepts
ss = zeros(m, 1);
ints = zeros(m, 1);
for k = 1 : m
x1 = years(p(k));
y1 = y(p(k));
x2 = years(q(k));
y2 = y(q(k));
s = (y2 - y1) / (x2 - x1);
in = y1 - s*x1;
ss(k) = s;
ints(k) = in;
end
% Find the median slope
[~, ind] = sort(ss);
med_ind = floor(m / 2) + 1;
slope_TXx_m3irr(i, j) = ss(ind(med_ind));
intercept_TXx_m3irr(i, j) = ints(ind(med_ind));
end
end
%slope_TXx_m3irr(~island')=NaN;
slope_TXx_m3irr=permute(slope_TXx_m3irr,[2,1,3]);
slope_TXx_m3irr(~island)=NaN;
% load member 4_irr
[~, ~, TXx_irr_m4, lat, lon, time] = mf_load('f.e122.F1850PDC5.f09_g16.irrigation-io192.004_atm_h1_yearmean_selname.nc', 'TXx', 'lat', 'lon', 'time'); % load member 1_control
TXx_irr_m4=permute(TXx_irr_m4,[2,1,3]);
M = numel(lon); % load slope / regress
N = numel(lat);
slope_TXx_m4irr = zeros(M, N);
intercept_TXx_m4irr = zeros(M, N);
T = numel(years);
[p, q] = meshgrid(1 : T);
p = p(:);
q = q(:);
m = numel(p);
for i = 1 : M
for j = 1 : N
% Get all time instances of each lat/lon location
y = squeeze(TXx_irr_m4(i, j, :));
% Find all possible pairs of slopes and intercepts
ss = zeros(m, 1);
ints = zeros(m, 1);
for k = 1 : m
x1 = years(p(k));
y1 = y(p(k));
x2 = years(q(k));
y2 = y(q(k));
s = (y2 - y1) / (x2 - x1);
in = y1 - s*x1;
ss(k) = s;
ints(k) = in;
end
% Find the median slope
[~, ind] = sort(ss);
med_ind = floor(m / 2) + 1;
slope_TXx_m4irr(i, j) = ss(ind(med_ind));
intercept_TXx_m4irr(i, j) = ints(ind(med_ind));
end
end
%slope_TXx_m4irr(~island')=NaN;
slope_TXx_m4irr=permute(slope_TXx_m4irr,[2,1,3]);
slope_TXx_m4irr(~island)=NaN;
% load member 5_irr
[~, ~, TXx_irr_m5, lat, lon, time] = mf_load('f.e122.F1850PDC5.f09_g16.irrigation-io192.005_atm_h1_yearmean_selname.nc', 'TXx', 'lat', 'lon', 'time'); % load member 1_control
TXx_irr_m5=permute(TXx_irr_m5,[2,1,3]);
M = numel(lon); % load slope / regress
N = numel(lat);
slope_TXx_m5irr = zeros(M, N);
intercept_TXx_m5irr = zeros(M, N);
T = numel(years);
[p, q] = meshgrid(1 : T);
p = p(:);
q = q(:);
m = numel(p);
for i = 1 : M
for j = 1 : N
% Get all time instances of each lat/lon location
y = squeeze(TXx_irr_m5(i, j, :));
% Find all possible pairs of slopes and intercepts
ss = zeros(m, 1);
ints = zeros(m, 1);
for k = 1 : m
x1 = years(p(k));
y1 = y(p(k));
x2 = years(q(k));
y2 = y(q(k));
s = (y2 - y1) / (x2 - x1);
in = y1 - s*x1;
ss(k) = s;
ints(k) = in;
end
% Find the median slope
[~, ind] = sort(ss);
med_ind = floor(m / 2) + 1;
slope_TXx_m5irr(i, j) = ss(ind(med_ind));
intercept_TXx_m5irr(i, j) = ints(ind(med_ind));
end
end
%slope_TXx_m5irr(~island')=NaN;
slope_TXx_m5irr=permute(slope_TXx_m5irr,[2,1,3]);
slope_TXx_m5irr(~island)=NaN;
% load 2D model mean ensemble atm IRRIGATION for regression
sum_txx_irr_slope=(slope_TXx_m1irr + slope_TXx_m2irr + slope_TXx_m3irr + slope_TXx_m4irr + slope_TXx_m5irr);
%mean_slope_txx_irr=(sum_txx_irr_slope/5);
%using ensemble file -same trend as mean above
[~, ~, TXx_irr_ensmean, lat, lon, time] = mf_load('f.e122.F1850PDC5.f09_g16.irrigation-io192.ensmean_atm_h1_yearmean.nc', 'TXx', 'lat', 'lon', 'time'); % load member 1_control
TXx_irr_ensmean=permute(TXx_irr_ensmean,[2,1,3]);
M = numel(lon); % load slope / regress
N = numel(lat);
mean_slope_txx_irr = zeros(M, N);
mean_intercept_txx_irr = zeros(M, N);
T = numel(years);
[p, q] = meshgrid(1 : T);
p = p(:);
q = q(:);
m = numel(p);
alpha0 = 0.05; % Level of significance
alpha = alpha0/2; %
p_values_txxirr = zeros(M, N);
for i = 1 : M
for j = 1 : N
% Get all time instances of each lat/lon location
y = squeeze(TXx_irr_ensmean(i, j, :));
% Find all possible pairs of slopes and intercepts
ss = zeros(m, 1);
ints = zeros(m, 1);
for k = 1 : m
x1 = years(p(k));
y1 = y(p(k));
x2 = years(q(k));
y2 = y(q(k));
s = (y2 - y1) / (x2 - x1);
in = y1 - s*x1;
ss(k) = s;
ints(k) = in;
end
% Find the median slope
[~, ind] = sort(ss);
med_ind = floor(m / 2) + 1;
mean_slope_txx_irr(i, j) = ss(ind(med_ind));
mean_intercept_txx_irr(i, j) = ints(ind(med_ind));
end
end
%mean_slope_txx_irr(~island')=NaN;
mean_slope_txx_irr=permute(mean_slope_txx_irr,[2,1,3]);
mean_slope_txx_irr(~island)=NaN;
mean_slope_txx_irr(isempty(mean_slope_txx_irr)) = NaN;
p_values_txxirr=permute(p_values_txxirr,[2,1,3]);
p_values_txxirr(~island)=NaN;
%mf_plot_dom2(lon_mod, lat_mod, mean_slope_txx_irr, p_values_txxirr, caxes.ddTXx, colormaps.ddTXx, 0, 2, '', '1981-2010, IRR Mean', '\delta TXx /\delta t [K yr^-^1]'); hold on;
% --------------------------------------------------------------------
% LOAD REGRESSION DATA - CONTROL - T2m
% --------------------------------------------------------------------
% load 2D model atm variables for regression
% load member 1_control
[~, ~, T2M_ctl_m1, lat, lon, time] = mf_load('f.e122.F1850PDC5.f09_g16.control-io192.001_lnd_h1_yearmean_selname.nc', 'TSA', 'lat', 'lon', 'time'); % load member 1_control
T2M_ctl_m1=permute(T2M_ctl_m1,[2,1,3]);
M = numel(lon); % load slope / regress
N = numel(lat);
slope_T2M_m1ctl = zeros(M, N);
intercept_T2M_m1ctl = zeros(M, N);
T = numel(years);
[p, q] = meshgrid(1 : T);
p = p(:);
q = q(:);
m = numel(p);
for i = 1 : M
for j = 1 : N
% Get all time instances of each lat/lon location
y = squeeze(T2M_ctl_m1(i, j, :));
% Find all possible pairs of slopes and intercepts
ss = zeros(m, 1);
ints = zeros(m, 1);
for k = 1 : m
x1 = years(p(k));
y1 = y(p(k));
x2 = years(q(k));
y2 = y(q(k));
s = (y2 - y1) / (x2 - x1);
in = y1 - s*x1;
ss(k) = s;
ints(k) = in;
end
% Find the median slope
[~, ind] = sort(ss);
med_ind = floor(m / 2) + 1;
slope_T2M_m1ctl(i, j) = ss(ind(med_ind));
intercept_T2M_m1ctl(i, j) = ints(ind(med_ind));
end
end
%slope_T2M_m1ctl(~island')=NaN;
slope_T2M_m1ctl=permute(slope_T2M_m1ctl,[2,1,3]);
slope_T2M_m1ctl(~island)=NaN;
% load member 2_control
[~, ~, T2M_ctl_m2, lat, lon, time] = mf_load('f.e122.F1850PDC5.f09_g16.control-io192.002_lnd_h1_yearmean_selname.nc', 'TSA', 'lat', 'lon', 'time'); % load member 1_control
T2M_ctl_m2=permute(T2M_ctl_m2,[2,1,3]);
M = numel(lon); % load slope / regress
N = numel(lat);
slope_T2M_m2ctl = zeros(M, N);
intercept_T2M_m2ctl = zeros(M, N);
T = numel(years);
[p, q] = meshgrid(1 : T);
p = p(:);
q = q(:);
m = numel(p);
for i = 1 : M
for j = 1 : N
% Get all time instances of each lat/lon location
y = squeeze(T2M_ctl_m2(i, j, :));
% Find all possible pairs of slopes and intercepts
ss = zeros(m, 1);
ints = zeros(m, 1);
for k = 1 : m
x1 = years(p(k));
y1 = y(p(k));
x2 = years(q(k));
y2 = y(q(k));
s = (y2 - y1) / (x2 - x1);
in = y1 - s*x1;
ss(k) = s;
ints(k) = in;
end
% Find the median slope
[~, ind] = sort(ss);
med_ind = floor(m / 2) + 1;
slope_T2M_m2ctl(i, j) = ss(ind(med_ind));
intercept_T2M_m2ctl(i, j) = ints(ind(med_ind));
end
end
%slope_T2M_m2ctl(~island')=NaN;
slope_T2M_m2ctl=permute(slope_T2M_m2ctl,[2,1,3]);
slope_T2M_m2ctl(~island)=NaN;
% load member 3_control
[~, ~, T2M_ctl_m3, lat, lon, time] = mf_load('f.e122.F1850PDC5.f09_g16.control-io192.003_lnd_h1_yearmean_selname.nc', 'TSA', 'lat', 'lon', 'time'); % load member 1_control
T2M_ctl_m3=permute(T2M_ctl_m3,[2,1,3]);
M = numel(lon); % load slope / regress
N = numel(lat);
slope_T2M_m3ctl = zeros(M, N);
intercept_T2M_m3ctl = zeros(M, N);
T = numel(years);
[p, q] = meshgrid(1 : T);
p = p(:);
q = q(:);
m = numel(p);
for i = 1 : M
for j = 1 : N
% Get all time instances of each lat/lon location
y = squeeze(T2M_ctl_m3(i, j, :));
% Find all possible pairs of slopes and intercepts
ss = zeros(m, 1);
ints = zeros(m, 1);
for k = 1 : m
x1 = years(p(k));
y1 = y(p(k));
x2 = years(q(k));
y2 = y(q(k));
s = (y2 - y1) / (x2 - x1);
in = y1 - s*x1;
ss(k) = s;
ints(k) = in;
end
% Find the median slope
[~, ind] = sort(ss);
med_ind = floor(m / 2) + 1;
slope_T2M_m3ctl(i, j) = ss(ind(med_ind));
intercept_T2M_m3ctl(i, j) = ints(ind(med_ind));
end
end
%slope_T2M_m3ctl(~island')=NaN;
slope_T2M_m3ctl=permute(slope_T2M_m3ctl,[2,1,3]);
slope_T2M_m3ctl(~island)=NaN;
% load member 4_control
[~, ~, T2M_ctl_m4, lat, lon, time] = mf_load('f.e122.F1850PDC5.f09_g16.control-io192.004_lnd_h1_yearmean_selname.nc', 'TSA', 'lat', 'lon', 'time'); % load member 1_control
T2M_ctl_m4=permute(T2M_ctl_m4,[2,1,3]);
M = numel(lon); % load slope / regress
N = numel(lat);
slope_T2M_m4ctl = zeros(M, N);
intercept_T2M_m4ctl = zeros(M, N);
T = numel(years);
[p, q] = meshgrid(1 : T);
p = p(:);
q = q(:);
m = numel(p);
for i = 1 : M
for j = 1 : N
% Get all time instances of each lat/lon location
y = squeeze(T2M_ctl_m4(i, j, :));
% Find all possible pairs of slopes and intercepts
ss = zeros(m, 1);
ints = zeros(m, 1);
for k = 1 : m
x1 = years(p(k));
y1 = y(p(k));
x2 = years(q(k));
y2 = y(q(k));
s = (y2 - y1) / (x2 - x1);
in = y1 - s*x1;
ss(k) = s;
ints(k) = in;
end
% Find the median slope
[~, ind] = sort(ss);
med_ind = floor(m / 2) + 1;
slope_T2M_m4ctl(i, j) = ss(ind(med_ind));
intercept_T2M_m4ctl(i, j) = ints(ind(med_ind));
end
end
%slope_T2M_m4ctl(~island')=NaN;
slope_T2M_m4ctl=permute(slope_T2M_m4ctl,[2,1,3]);
slope_T2M_m4ctl(~island)=NaN;
% load member 5_control
[~, ~, T2M_ctl_m5, lat, lon, time] = mf_load('f.e122.F1850PDC5.f09_g16.control-io192.005_lnd_h1_yearmean_selname.nc', 'TSA', 'lat', 'lon', 'time'); % load member 1_control
T2M_ctl_m5=permute(T2M_ctl_m5,[2,1,3]);
M = numel(lon); % load slope / regress
N = numel(lat);
slope_T2M_m5ctl = zeros(M, N);
intercept_T2M_m5ctl = zeros(M, N);
T = numel(years);
[p, q] = meshgrid(1 : T);
p = p(:);
q = q(:);
m = numel(p);
for i = 1 : M
for j = 1 : N
% Get all time instances of each lat/lon location
y = squeeze(T2M_ctl_m5(i, j, :));
% Find all possible pairs of slopes and intercepts
ss = zeros(m, 1);
ints = zeros(m, 1);
for k = 1 : m
x1 = years(p(k));
y1 = y(p(k));
x2 = years(q(k));
y2 = y(q(k));
s = (y2 - y1) / (x2 - x1);
in = y1 - s*x1;
ss(k) = s;
ints(k) = in;
end
% Find the median slope
[~, ind] = sort(ss);
med_ind = floor(m / 2) + 1;
slope_T2M_m5ctl(i, j) = ss(ind(med_ind));
intercept_T2M_m5ctl(i, j) = ints(ind(med_ind));
end
end
%slope_T2M_m5ctl(~island')=NaN;
slope_T2M_m5ctl=permute(slope_T2M_m5ctl,[2,1,3]);
slope_T2M_m5ctl(~island)=NaN;
% load 2D model mean ensemble lnd CONTROL for regression
sum_t2m_ctl_slope=(slope_T2M_m1ctl + slope_T2M_m2ctl + slope_T2M_m3ctl + slope_T2M_m4ctl + slope_T2M_m5ctl);
%mean_slope_t2m_ctl=(sum_t2m_ctl_slope/5);
%using ensemble file -same trend as mean above
[~, ~, T2M_ctl_ensmean, lat, lon, time] = mf_load('f.e122.F1850PDC5.f09_g16.control-io192.ensmean_lnd_h1_yearmean.nc', 'TSA', 'lat', 'lon', 'time'); % load member 1_control
T2M_ctl_ensmean(isempty(T2M_ctl_ensmean)) = NaN;
T2M_ctl_ensmean=permute(T2M_ctl_ensmean,[2,1,3]);
M = numel(lon); % load slope / regress
N = numel(lat);
mean_slope_t2m_ctl = zeros(M, N);
mean_intercept_t2m_ctl = zeros(M, N);
T = numel(years);
[p, q] = meshgrid(1 : T);
p = p(:);
q = q(:);
m = numel(p);
alpha0 = 0.01; % Level of significance
alpha = alpha0/2; %
p_values_t2mctl = zeros(M, N);
for i = 1 : M
for j = 1 : N
% Get all time instances of each lat/lon location
y = squeeze(T2M_ctl_ensmean(i, j, :));
% Find all possible pairs of slopes and intercepts
ss = zeros(m, 1);
ints = zeros(m, 1);
for k = 1 : m
x1 = years(p(k));
y1 = y(p(k));
x2 = years(q(k));
y2 = y(q(k));
s = (y2 - y1) / (x2 - x1);
in = y1 - s*x1;
ss(k) = s;
ints(k) = in;
end
% Find the median slope
[~, ind] = sort(ss);
med_ind = floor(m / 2) + 1;
mean_slope_t2m_ctl(i, j) = ss(ind(med_ind));
mean_intercept_t2m_ctl(i, j) = ints(ind(med_ind));
end
end
%mean_slope_t2m_ctl(~island')=NaN;
mean_slope_t2m_ctl=permute(mean_slope_t2m_ctl,[2,1,3]);
mean_slope_t2m_ctl(~island)=NaN;
mean_slope_t2m_ctl(isempty(mean_slope_t2m_ctl)) = NaN;
p_values_t2mctl=permute(p_values_t2mctl,[2,1,3]);
p_values_t2mctl(~island)=NaN;
%mf_plot_dom2(lon_mod, lat_mod, mean_slope_t2m_ctl, p_values_t2mctl,caxes.ddT2M, colormaps.ddT2M, 0, 2, '', '1981-2010, CTL Mean', '\delta T_2_m /\delta t [K yr^-^1]'); hold on;
%H=permute(H,[2,1,3]);
%mf_plot_dom2(lon_mod, lat_mod, mean_slope_t2m_ctl, H,caxes.ddT2M, colormaps.ddT2M, 0, 2, '', '1981-2010, CTL Mean', '\delta T_2_m /\delta t [K yr^-^1]'); hold on;
%H = 0 indicates insignificant, 1 is signif
%%% a failure to reject the null hypothesis at the alpha significance level.
%then do statsign on differences with wilcox, using sums not ensmean
% --------------------------------------------------------------------
% LOAD REGRESSION DATA - IRRIGATION - T2m
% --------------------------------------------------------------------
% load member 1_irr
[~, ~, T2M_irr_m1, lat, lon, time] = mf_load('f.e122.F1850PDC5.f09_g16.irrigation-io192.001_lnd_h1_yearmean_selname.nc', 'TSA', 'lat', 'lon', 'time'); % load member 1_control
T2M_irr_m1=permute(T2M_irr_m1,[2,1,3]);
M = numel(lon); % load slope / regress
N = numel(lat);
slope_T2M_m1irr = zeros(M, N);
intercept_T2M_m1irr = zeros(M, N);
T = numel(years);
[p, q] = meshgrid(1 : T);
p = p(:);
q = q(:);
m = numel(p);
for i = 1 : M
for j = 1 : N
% Get all time instances of each lat/lon location
y = squeeze(T2M_irr_m1(i, j, :));
% Find all possible pairs of slopes and intercepts
ss = zeros(m, 1);
ints = zeros(m, 1);
for k = 1 : m
x1 = years(p(k));
y1 = y(p(k));
x2 = years(q(k));
y2 = y(q(k));
s = (y2 - y1) / (x2 - x1);
in = y1 - s*x1;
ss(k) = s;
ints(k) = in;
end
% Find the median slope
[~, ind] = sort(ss);
med_ind = floor(m / 2) + 1;
slope_T2M_m1irr(i, j) = ss(ind(med_ind));
intercept_T2M_m1irr(i, j) = ints(ind(med_ind));
end
end
%slope_T2M_m1irr(~island')=NaN;
slope_T2M_m1irr=permute(slope_T2M_m1irr,[2,1,3]);
slope_T2M_m1irr(~island)=NaN;
% load member 2_irr
[~, ~, T2M_irr_m2, lat, lon, time] = mf_load('f.e122.F1850PDC5.f09_g16.irrigation-io192.002_lnd_h1_yearmean_selname.nc', 'TSA', 'lat', 'lon', 'time'); % load member 1_control
T2M_irr_m2=permute(T2M_irr_m2,[2,1,3]);
M = numel(lon); % load slope / regress
N = numel(lat);
slope_T2M_m2irr = zeros(M, N);
intercept_T2M_m2irr = zeros(M, N);
T = numel(years);
[p, q] = meshgrid(1 : T);
p = p(:);
q = q(:);
m = numel(p);
for i = 1 : M
for j = 1 : N
% Get all time instances of each lat/lon location
y = squeeze(T2M_irr_m2(i, j, :));
% Find all possible pairs of slopes and intercepts
ss = zeros(m, 1);
ints = zeros(m, 1);
for k = 1 : m
x1 = years(p(k));
y1 = y(p(k));
x2 = years(q(k));
y2 = y(q(k));
s = (y2 - y1) / (x2 - x1);
in = y1 - s*x1;
ss(k) = s;
ints(k) = in;
end
% Find the median slope
[~, ind] = sort(ss);
med_ind = floor(m / 2) + 1;
slope_T2M_m2irr(i, j) = ss(ind(med_ind));
intercept_T2M_m2irr(i, j) = ints(ind(med_ind));
end
end
%slope_T2M_m2irr(~island')=NaN;
slope_T2M_m2irr=permute(slope_T2M_m2irr,[2,1,3]);
slope_T2M_m2irr(~island)=NaN;
% load member 3_irr
[~, ~, T2M_irr_m3, lat, lon, time] = mf_load('f.e122.F1850PDC5.f09_g16.irrigation-io192.003_lnd_h1_yearmean_selname.nc', 'TSA', 'lat', 'lon', 'time'); % load member 1_control
T2M_irr_m3=permute(T2M_irr_m3,[2,1,3]);
M = numel(lon); % load slope / regress
N = numel(lat);
slope_T2M_m3irr = zeros(M, N);
intercept_T2M_m3irr = zeros(M, N);
T = numel(years);
[p, q] = meshgrid(1 : T);
p = p(:);
q = q(:);
m = numel(p);
for i = 1 : M
for j = 1 : N
% Get all time instances of each lat/lon location
y = squeeze(T2M_irr_m3(i, j, :));
% Find all possible pairs of slopes and intercepts
ss = zeros(m, 1);
ints = zeros(m, 1);
for k = 1 : m
x1 = years(p(k));
y1 = y(p(k));
x2 = years(q(k));
y2 = y(q(k));
s = (y2 - y1) / (x2 - x1);
in = y1 - s*x1;
ss(k) = s;
ints(k) = in;
end
% Find the median slope
[~, ind] = sort(ss);
med_ind = floor(m / 2) + 1;
slope_T2M_m3irr(i, j) = ss(ind(med_ind));
intercept_T2M_m3irr(i, j) = ints(ind(med_ind));
end
end
%slope_T2M_m3irr(~island')=NaN;
slope_T2M_m3irr=permute(slope_T2M_m3irr,[2,1,3]);
slope_T2M_m3irr(~island)=NaN;
% load member 4_irr
[~, ~, T2M_irr_m4, lat, lon, time] = mf_load('f.e122.F1850PDC5.f09_g16.irrigation-io192.004_lnd_h1_yearmean_selname.nc', 'TSA', 'lat', 'lon', 'time'); % load member 1_control
T2M_irr_m4=permute(T2M_irr_m4,[2,1,3]);
M = numel(lon); % load slope / regress
N = numel(lat);
slope_T2M_m4irr = zeros(M, N);
intercept_T2M_m4irr = zeros(M, N);