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Figure_4.m
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%% find GSCD raw constrain and GSCD regression constrain
clear all; clc;
US = load('us_coor.txt');
SL = load('sl_coor.txt');
scatter_size = 20; label_size = 11; legend_size = 11; tick_size = 11; colorbar_size= 11;title_size = 10; line_width = 1; text_size = 9;
%1-gauge id, 2-lat, 3-lon, 4-cluster id, 5- default, 6-regional best,
%7-gscd mean, 8-gscd std, 9-gscd 95% PI mean, 10 gscd 95% PI std
out_q10_metric = nan(464, 10);
out_q90_metric = nan(464, 10);
out_qmean_metric = nan(464, 10);
% load observations
obs = readtable('../camel_Hydrologic_features.csv');
out_obs = nan(464,7); %1-gauge id, 2-lat, 3-lon, 4-cluster id,, 5-q10_mm_d, 6-q90_mm_d, 7-qmean_mm_d
out_obs(:,1) = obs.Gauge_ID;
out_obs(:,2) = obs.Gauge_Lat;
out_obs(:,3) = obs.Gauge_Lon;
out_obs(:,4) = obs.Cluster;
out_obs(:,5) = obs.q10_mm_d;
out_obs(:,6) = obs.q90_mm_d;
out_obs(:,7) = obs.mean_annual_mm_d;
out_obs = sortrows(out_obs, 1);
out_q10_metric(:,1:4) = out_obs(:,1:4);
out_q90_metric(:,1:4) = out_obs(:,1:4);
out_qmean_metric(:,1:4) = out_obs(:,1:4);
clear obs;
%% ---------------------------------------------------------------------------------------------------------
% 1) default metric
temp = readtable('../../ensemble_sim/default_sim1.csv');
out_default = nan(464,7); %1-gauge id, 2-lat, 3-lon, 4-cluster id,, 5-q10_mm_d, 6-q90_mm_d, 7-qmean_mm_d
out_default(:,1) = temp.Gauge_ID;
out_default(:,2) = temp.Gauge_Lat;
out_default(:,3) = temp.Gauge_Lon;
out_default(:,4) = temp.Cluster;
out_default(:,5) = temp.q10_mm_d;
out_default(:,6) = temp.q90_mm_d;
out_default(:,7) = temp.qmean_mm_d;
out_default = sortrows(out_default, 1);
clear temp;
out_q10_metric(:,5) = (out_default(:,5) - out_obs(:,5)); % sim - obs
out_q90_metric(:,5) = (out_default(:,6) - out_obs(:,6)); % sim - obs
out_qmean_metric(:,5) = (out_default(:,7) - out_obs(:,7)); % sim - obs
%% ---------------------------------------------------------------------------------------------------------
% 2) regional best
% region_par_qmean = [954 1300 518 1276 680 496 118]; % 1- 1307
% region_par_q10 = [1 1 1 1 8 2 1];
% region_par_q90 = [49 24 247 579 963 172 210];
para_q10 = load('camel_regional_id_1000_q10.txt');
para_q90 = load('camel_regional_id_1000_q90.txt');
para_qmean = load('camel_regional_id_1000_qmean.txt');
par1000 = load('./sucessful_par_id_1000');
par1307 = load('./sucessful_par_id_1307');
index1000 = ismember(par1307, par1000);
temp = readtable('../../ensemble_sim/ensemble_q10');
out_regional = nan(464, 7); %1-gauge id, 2-lat, 3-lon, 4-cluster id, 5-q10_mm_d, 6-q90_mm_d, 7-qmean_mm_d
out_regional(:,1) = temp.Var1;
out_regional(:,2) = temp.Var2;
out_regional(:,3) = temp.Var3;
out_regional(:,4) = temp.Var4;
out_regional = sortrows(out_regional, 1);
temp = sortrows(temp, 1);
for i = 1:464
temp1 = table2array(temp(i, 5:end));
temp1 = temp1(index1000);
temp2 = nan(10,1);
for j = 1:7
if out_regional(i,4)==j
par_id = para_q10(j,2:11);
for k = 1:10
temp2(k,1) = temp1(par_id(k));
end
end
end
% out_q10_metric(i,6) = 1 - crps(temp2, out_obs(i,5)) / abs(out_default(i,5) - out_obs(i,5));
out_q10_metric(i,6) = mean(temp2)-out_obs(i,5);
end
temp = readtable('../../ensemble_sim/ensemble_q90');
temp = sortrows(temp, 1);
for i = 1:464
temp1 = table2array(temp(i, 5:end));
temp1 = temp1(index1000);
temp2 = nan(10,1);
for j = 1:7
if out_regional(i,4)==j
par_id = para_q90(j,2:11);
for k = 1:10
temp2(k,1) = temp1(par_id(k));
end
end
end
% out_q90_metric(i,6) = 1 - crps(temp2, out_obs(i,6)) / abs(out_default(i,6) - out_obs(i,6));
out_q90_metric(i,6) = mean(temp2)-out_obs(i,6);
end
temp = readtable('../../ensemble_sim/ensemble_qmean');
temp = sortrows(temp, 1);
for i = 1:464
temp1 = table2array(temp(i, 5:end));
temp1 = temp1(index1000);
temp2 = nan(10,1);
for j = 1:7
if out_regional(i,4)==j
par_id = para_qmean(j,2:11);
for k = 1:10
temp2(k,1) = temp1(par_id(k));
end
end
end
% out_qmean_metric(i,6) = 1 - crps(temp2, out_obs(i,7)) / abs(out_default(i,7) - out_obs(i,7));
out_qmean_metric(i,6) = mean(temp2)-out_obs(i,7);
end
% out_q10_metric(:,6) = abs(out_regional(:,5) - out_obs(:,5)); % sim - obs
% out_q90_metric(:,6) = abs(out_regional(:,6) - out_obs(:,6)); % sim - obs
% out_qmean_metric(:,6) = abs(out_regional(:,7) - out_obs(:,7)); % sim - obs
% out_q10_metric(:,6) = out_regional(:,5);
% out_q90_metric(:,6) = out_regional(:,6);
% out_qmean_metric(:,6) = out_regional(:,7);
%% ---------------------------------------------------------------------------------------------------------
% 4) GSCD regression data only
var = nan(464, 10); % 1-gauge id, 2-lat, 3-lon, 4-cluster id, 5-q10 low, 6-q_10 up, 7-q90 low, 8-q90 up, 9-qmean low, 10-qmean up
temp = readtable('../gscd_camel_regression/q10.csv');
var(:,1) = temp.V1;
var(:,2) = temp.V3;
var(:,3) = temp.V4;
var(:,4) = temp.V2;
var(:,5) = temp.V7;
var(:,6) = temp.V8;
temp = readtable('../gscd_camel_regression/q90.csv');
var(:,7) = temp.V7;
var(:,8) = temp.V8;
temp = readtable('../gscd_camel_regression/qmean.csv');
var(:,9) = temp.V7;
var(:,10) = temp.V8;
var = sortrows(var,1);
temp = readtable('../../ensemble_sim/ensemble_q10');
temp = sortrows(temp,1);
for i = 1:464
temp1 = table2array(temp(i, 5:end));
temp1 = temp1(index1000);
low = var(i,5);
up = var(i,6);
indices = find(temp1 > low & temp1 < up); % 1- 350
if length(indices)>1
temp2 = nan(length(indices), 1);
for j = 1:length(indices)
temp2(j,1) = temp1(indices(j));
end
% out_q10_metric(i,7) = 1 - crps(temp2, out_obs(i,5)) / abs(out_default(i,5) - out_obs(i,5));
out_q10_metric(i,7) = mean(temp2) - out_obs(i,5);
end
% if length(indices)==1
% temp2 = temp1(indices);
% out_q10_metric(i,7) = 1 - abs(temp2 - out_obs(i,5)) / abs(out_default(i,5) - out_obs(i,5));
% end
end
temp = readtable('../../ensemble_sim/ensemble_q90');
temp = sortrows(temp,1);
for i = 1:464
temp1 = table2array(temp(i, 5:end));
temp1 = temp1(index1000);
low = var(i,7);
up = var(i,8);
indices = find(temp1 > low & temp1 < up); % 1- 350
if length(indices)>1
temp2 = nan(length(indices), 1);
for j = 1:length(indices)
temp2(j,1) = temp1(indices(j));
end
% out_q90_metric(i,7) = 1 - crps(temp2, out_obs(i,6)) / abs(out_default(i,6) - out_obs(i,6));
out_q90_metric(i,7) = mean(temp2) - out_obs(i,6);
end
% if length(indices)==1
% temp2 = temp1(indices);
% out_q90_metric(i,7) = 1 - abs(temp2 - out_obs(i,6)) / abs(out_default(i,6) - out_obs(i,6));
% end
end
temp = readtable('../../ensemble_sim/ensemble_qmean');
temp = sortrows(temp,1);
for i = 1:464
temp1 = table2array(temp(i, 5:end));
temp1 = temp1(index1000);
low = var(i,9);
up = var(i,10);
indices = find(temp1 > low & temp1 < up); % 1- 350
if length(indices)>1
temp2 = nan(length(indices), 1);
for j = 1:length(indices)
temp2(j,1) = temp1(indices(j));
end
% out_qmean_metric(i,7) = 1 - crps(temp2, out_obs(i,7)) / abs(out_default(i,7) - out_obs(i,7));
out_qmean_metric(i,7) = mean(temp2) - out_obs(i,7);
end
% if length(indices)==1
% temp2 = temp1(indices);
% out_qmean_metric(i,7) = 1 - abs(temp2 - out_obs(i,7)) / abs(out_default(i,7) - out_obs(i,7));
% end
end
%% ---------------------------------------------------------------------------------------------------------
% 4) GSCD regression data + regional best
var = nan(464, 10); % 1-gauge id, 2-lat, 3-lon, 4-cluster id, 5-q10 low, 6-q_10 up, 7-q90 low, 8-q90 up, 9-qmean low, 10-qmean up
temp = readtable('../gscd_camel_regression/q10.csv');
var(:,1) = temp.V1;
var(:,2) = temp.V3;
var(:,3) = temp.V4;
var(:,4) = temp.V2;
var(:,5) = temp.V7;
var(:,6) = temp.V8;
temp = readtable('../gscd_camel_regression/q90.csv');
var(:,7) = temp.V7;
var(:,8) = temp.V8;
temp = readtable('../gscd_camel_regression/qmean.csv');
var(:,9) = temp.V7;
var(:,10) = temp.V8;
var = sortrows(var,1);
temp = readtable('../../ensemble_sim/ensemble_q10');
temp = sortrows(temp,1);
cluster_id = table2array(temp(:,4));
for i = 1:464
temp1 = table2array(temp(i, 5:end));
temp1 = temp1(index1000);
low = var(i,5);
up = var(i,6);
indices = find(temp1 > low & temp1 < up); % 1- 350
% 1) use full constrain members
if length(indices)>=10
temp2 = nan(length(indices), 1);
for j = 1:length(indices)
temp2(j,1) = temp1(indices(j));
end
% out_q10_metric(i,9) = 1 - crps(temp2, out_obs(i,5)) / abs(out_default(i,5) - out_obs(i,5));
out_q10_metric(i,9) = mean(temp2) - out_obs(i,5);
end
% 2) if no constrain, use the top 10 members
if length(indices)==0
temp2 = nan(10,1);
for k = 1:7
if cluster_id(i)==k
par_id = para_q10(k,2:21);
for j = 1:10
temp2(j,1) = temp1(par_id(j));
end
end
end
% out_q10_metric(i,9) = 1 - crps(temp2, out_obs(i,5)) / abs(out_default(i,5) - out_obs(i,5));
out_q10_metric(i,9) = mean(temp2) - out_obs(i,5);
end
% 3) mixed with constain but no 10 parameters
if length(indices)>0 && length(indices)<10
temp2 = nan(10, 1);
for j = 1:length(indices)
temp2(j,1) = temp1(indices(j));
end
need_num = 10 - length(indices);
count1 = length(indices)+1;
for k = 1:7
if cluster_id(i)==k
par_id = para_q10(k,2:21);
for j = 1:20
if ismember(par_id(j), indices)
continue
else
temp2(count1,1) = temp1(par_id(j));
count1 = count1 + 1;
if count1 == 11
break
end
end
end
end
end
% out_q10_metric(i,9) = 1 - crps(temp2, out_obs(i,5)) / abs(out_default(i,5) - out_obs(i,5));
out_q10_metric(i,9) = mean(temp2) - out_obs(i,5);
end
% if length(indices)>=1
% temp2 = nan(length(indices), 1);
% for j = 1:length(indices)
% temp2(j,1) = abs(temp1(indices(j)) - out_obs(i,5));
% end
% out_q10_metric(i,9) = mean(temp2);
% end
% if length(indices)>=2
% out_q10_metric(i,10) = std(temp2);
% end
end
temp = readtable('../../ensemble_sim/ensemble_q90');
temp = sortrows(temp,1);
for i = 1:464
temp1 = table2array(temp(i, 5:end));
temp1 = temp1(index1000);
low = var(i,7);
up = var(i,8);
indices = find(temp1 > low & temp1 < up); % 1- 350
% 1) use full constrain members
if length(indices)>=10
temp2 = nan(length(indices), 1);
for j = 1:length(indices)
temp2(j,1) = temp1(indices(j));
end
out_q90_metric(i,9) = 1 - crps(temp2, out_obs(i,6)) / abs(out_default(i,6) - out_obs(i,6));
out_q90_metric(i,9) = mean(temp2) - out_obs(i,6);
end
% 2) if no constrain, use the top 10 members
if length(indices)==0
temp2 = nan(10,1);
for k = 1:7
if cluster_id(i)==k
par_id = para_q90(k,2:21);
for j = 1:10
temp2(j,1) = temp1(par_id(j));
end
end
end
out_q90_metric(i,9) = 1 - crps(temp2, out_obs(i,6)) / abs(out_default(i,6) - out_obs(i,6));
out_q90_metric(i,9) = mean(temp2) - out_obs(i,6);
end
% 3) mixed with constain but no 10 parameters
if length(indices)>0 && length(indices)<10
temp2 = nan(10, 1);
for j = 1:length(indices)
temp2(j,1) = temp1(indices(j));
end
need_num = 10 - length(indices);
count1 = length(indices)+1;
for k = 1:7
if cluster_id(i)==k
par_id = para_q90(k,2:21);
for j = 1:20
if ismember(par_id(j), indices)
continue
else
temp2(count1,1) = temp1(par_id(j));
count1 = count1 + 1;
if count1 == 11
break
end
end
end
end
end
out_q90_metric(i,9) = 1 - crps(temp2, out_obs(i,6)) / abs(out_default(i,6) - out_obs(i,6));
out_q90_metric(i,9) = mean(temp2) - out_obs(i,6);
end
% if length(indices)>=1
% temp2 = nan(length(indices), 1);
% for j = 1:length(indices)
% temp2(j,1) = abs(temp1(indices(j)) - out_obs(i,6));
% end
% out_q90_metric(i,9) = mean(temp2);
% end
% if length(indices)>=2
% out_q90_metric(i,10) = std(temp2);
% end
end
temp = readtable('../../ensemble_sim/ensemble_qmean');
temp = sortrows(temp,1);
for i = 1:464
temp1 = table2array(temp(i, 5:end));
temp1 = temp1(index1000);
low = var(i,9);
up = var(i,10);
indices = find(temp1 > low & temp1 < up); % 1- 350
% 1) use full constrain members
if length(indices)>=10
temp2 = nan(length(indices), 1);
for j = 1:length(indices)
temp2(j,1) = temp1(indices(j));
end
out_qmean_metric(i,9) = 1 - crps(temp2, out_obs(i,7)) / abs(out_default(i,7) - out_obs(i,7));
out_qmean_metric(i,9) = mean(temp2) - out_obs(i,7);
% out_qmean_metric(i,9) = mean(temp2) - out_default(i,7);
end
% 2) if no constrain, use the top 10 members
if length(indices)==0
temp2 = nan(10,1);
for k = 1:7
if cluster_id(i)==k
par_id = para_qmean(k,2:21);
for j = 1:10
temp2(j,1) = temp1(par_id(j));
end
end
end
out_qmean_metric(i,9) = 1 - crps(temp2, out_obs(i,7)) / abs(out_default(i,7) - out_obs(i,7));
out_qmean_metric(i,9) = mean(temp2) - out_obs(i,7);
% out_qmean_metric(i,9) = mean(temp2) - out_default(i,7);
end
% 3) mixed with constain but no 10 parameters
if length(indices)>0 && length(indices)<10
temp2 = nan(10, 1);
for j = 1:length(indices)
temp2(j,1) = temp1(indices(j));
end
need_num = 10 - length(indices);
count1 = length(indices)+1;
for k = 1:7
if cluster_id(i)==k
par_id = para_qmean(k,2:21);
for j = 1:20
if ismember(par_id(j), indices)
continue
else
temp2(count1,1) = temp1(par_id(j));
count1 = count1 + 1;
if count1 == 11
break
end
end
end
end
end
out_qmean_metric(i,9) = 1 - crps(temp2, out_obs(i,7)) / abs(out_default(i,7) - out_obs(i,7));
out_qmean_metric(i,9) = mean(temp2) - out_obs(i,7);
% out_qmean_metric(i,9) = mean(temp2) - out_default(i,7);
end
% if length(indices)>=1
% temp2 = nan(length(indices), 1);
% for j = 1:length(indices)
% temp2(j,1) = abs(temp1(indices(j)) - out_obs(i,7));
% end
% out_qmean_metric(i,9) = mean(temp2);
% end
% if length(indices)>=2
% out_qmean_metric(i,10) = std(temp2);
% end
end
%% plot the metric
figure;
q90_max = 5.5;
q90_min = -5.5;
qmean_max = 2.6;
qmean_min = -2.6;
% defualt parameter --------------------------------------------------------
ax(1) = subplot(5,3,1)
variable = out_q10_metric; obs_index = 7; %1-gauge id, 2-lat, 3-lon, 4-cluster id,, 5-q10_mm_d, 6-q90_mm_d, 7-qmean_mm_d
cmin = 0; cmax = 0.45;
scatter_size = 25;
cluster_ID = variable(:,4); lat = variable(:,2); lon = variable(:,3);metric_daily = out_obs(:,5);
% fmt = {'o','^','v','s','>','h','<'};
fmt = {'o','o','o','o','o','o','o'};
cluster=1; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=2; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=3; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=4; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=5; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=6; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=7; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
set(gca,'FontSize',tick_size);
plot(US(:,1), US(:,2),'.','MarkerSize',2,'Color','black'); hold on;
plot(SL(:,1), SL(:,2),'.','MarkerSize',2,'Color','black');
xlim([-128 -64]); ylim([23 52]); box on;
caxis([cmin cmax]);
colormap(ax(1), brewermap([],'*Spectral'));
colorbar
% ylabel('Latitude (\circ)', 'FontSize', label_size);
% xlabel('Longitude (\circ)', 'FontSize', label_size);
% xticks = [-120,-110,-100,-90,-80, -70];
% xticklabels_deg = cell(size(xticks));
% for i = 1:numel(xticks)
% xticklabels_deg{i} = [num2str(-xticks(i)) '°W'];
% end
% set(gca, 'XTick', xticks);
% set(gca, 'XTickLabel', xticklabels_deg);
yticks = [25, 30, 35, 40, 45, 50];
yticklabels_deg = cell(size(yticks));
for i = 1:numel(yticks)
yticklabels_deg{i} = [num2str(yticks(i)) '°N'];
end
set(gca, 'YTick', yticks);
set(gca, 'YTickLabel', yticklabels_deg);
set(gca, 'XTickLabel', []);
set(gca, 'GridLineStyle', ':');
% text(0.02, 0.15, '(a)', 'FontSize',text_size, 'FontWeight', 'bold', 'Units','Normalized');
title('(a1) Obs. Q10 (mm/d)', 'FontSize', title_size);
grid on;
set(gca, 'GridLineStyle', ':');
set(gca, 'Color', [220 220 220]/255);
% colormap(brewermap([],'*Spectral'));
% defualt parameter --------------------------------------------------------
ax(2) = subplot(5,3,2)
variable = out_q90_metric; obs_index = 7; %1-gauge id, 2-lat, 3-lon, 4-cluster id,, 5-q10_mm_d, 6-q90_mm_d, 7-qmean_mm_d
cmin = 0; cmax = 5.3;
scatter_size = 25;
cluster_ID = variable(:,4); lat = variable(:,2); lon = variable(:,3);metric_daily = out_obs(:,6);
% fmt = {'o','^','v','s','>','h','<'};
fmt = {'o','o','o','o','o','o','o'};
cluster=1; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=2; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=3; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=4; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=5; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=6; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=7; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
set(gca,'FontSize',tick_size);
plot(US(:,1), US(:,2),'.','MarkerSize',2,'Color','black'); hold on;
plot(SL(:,1), SL(:,2),'.','MarkerSize',2,'Color','black');
xlim([-128 -64]); ylim([23 52]); box on;
caxis([cmin cmax]);
colormap(ax(2), brewermap([],'*Spectral'));
colorbar
% ylabel('Latitude (\circ)', 'FontSize', label_size);
% xlabel('Longitude (\circ)', 'FontSize', label_size);
% xticks = [-120,-110,-100,-90,-80, -70];
% xticklabels_deg = cell(size(xticks));
% for i = 1:numel(xticks)
% xticklabels_deg{i} = [num2str(-xticks(i)) '°W'];
% end
% set(gca, 'XTick', xticks);
% set(gca, 'XTickLabel', xticklabels_deg);
yticks = [25, 30, 35, 40, 45, 50];
yticklabels_deg = cell(size(yticks));
for i = 1:numel(yticks)
yticklabels_deg{i} = [num2str(yticks(i)) '°N'];
end
set(gca, 'YTick', yticks);
set(gca, 'YTickLabel', yticklabels_deg);
set(gca, 'XTickLabel', []);
set(gca, 'YTickLabel', []);
set(gca, 'GridLineStyle', ':');
% text(0.02, 0.15, '(a)', 'FontSize',text_size, 'FontWeight', 'bold', 'Units','Normalized');
title('(b1) Obs. Q90 (mm/d)', 'FontSize', title_size);
grid on;
set(gca, 'GridLineStyle', ':');
set(gca, 'Color', [220 220 220]/255);
% defualt parameter --------------------------------------------------------
ax(3) = subplot(5,3,3)
variable = out_qmean_metric; obs_index = 7; %1-gauge id, 2-lat, 3-lon, 4-cluster id,, 5-q10_mm_d, 6-q90_mm_d, 7-qmean_mm_d
cmin = 0; cmax = 2.2;
scatter_size = 25;
cluster_ID = variable(:,4); lat = variable(:,2); lon = variable(:,3);metric_daily = out_obs(:,7);
% fmt = {'o','^','v','s','>','h','<'};
fmt = {'o','o','o','o','o','o','o'};
cluster=1; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=2; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=3; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=4; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=5; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=6; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=7; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
set(gca,'FontSize',tick_size);
plot(US(:,1), US(:,2),'.','MarkerSize',2,'Color','black'); hold on;
plot(SL(:,1), SL(:,2),'.','MarkerSize',2,'Color','black');
xlim([-128 -64]); ylim([23 52]); box on;
caxis([cmin cmax]);
colormap(ax(3), brewermap([],'*Spectral'));
colorbar
% ylabel('Latitude (\circ)', 'FontSize', label_size);
% xlabel('Longitude (\circ)', 'FontSize', label_size);
% xticks = [-120,-110,-100,-90,-80, -70];
% xticklabels_deg = cell(size(xticks));
% for i = 1:numel(xticks)
% xticklabels_deg{i} = [num2str(-xticks(i)) '°W'];
% end
% set(gca, 'XTick', xticks);
% set(gca, 'XTickLabel', xticklabels_deg);
yticks = [25, 30, 35, 40, 45, 50];
yticklabels_deg = cell(size(yticks));
for i = 1:numel(yticks)
yticklabels_deg{i} = [num2str(yticks(i)) '°N'];
end
set(gca, 'YTick', yticks);
set(gca, 'YTickLabel', yticklabels_deg);
set(gca, 'XTickLabel', []);
set(gca, 'YTickLabel', []);
set(gca, 'GridLineStyle', ':');
% text(0.02, 0.15, '(a)', 'FontSize',text_size, 'FontWeight', 'bold', 'Units','Normalized');
title('(c1) Obs. Qmean (mm/d)', 'FontSize', title_size);
grid on;
set(gca, 'GridLineStyle', ':');
set(gca, 'Color', [220 220 220]/255);
% regional best parameter --------------------------------------------------------
ax(4) = subplot(5,3,4)
variable = out_q10_metric;
cluster_ID = variable(:,4); lat = variable(:,2); lon = variable(:,3);metric_daily = (out_default(:,5) - out_obs(:,5))./out_obs(:,7);
% fmt = {'o','^','v','s','>','h','<'};
fmt = {'o','o','o','o','o','o','o'};
cluster=1; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=2; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=3; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=4; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=5; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=6; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=7; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
set(gca,'FontSize',tick_size);
plot(US(:,1), US(:,2),'.','MarkerSize',2,'Color','black'); hold on;
plot(SL(:,1), SL(:,2),'.','MarkerSize',2,'Color','black');
xlim([-128 -64]); ylim([23 52]); box on;
% caxis([cmin cmax]);
colormap(ax(4), brewermap([],'*RdBu'));
% colormap(brewermap([],'RdYlBu'));
colorbar
% ylabel('Latitude (\circ)', 'FontSize', label_size);
% xlabel('Longitude (\circ)', 'FontSize', label_size);
% xticks = [-120,-110,-100,-90,-80, -70];
% xticklabels_deg = cell(size(xticks));
% for i = 1:numel(xticks)
% xticklabels_deg{i} = [num2str(-xticks(i)) '°W'];
% end
% set(gca, 'XTick', xticks);
% set(gca, 'XTickLabel', xticklabels_deg);
yticks = [25, 30, 35, 40, 45, 50];
yticklabels_deg = cell(size(yticks));
for i = 1:numel(yticks)
yticklabels_deg{i} = [num2str(yticks(i)) '°N'];
end
set(gca, 'YTick', yticks);
set(gca, 'YTickLabel', yticklabels_deg);
% set(gca, 'YTickLabel', []);
set(gca, 'XTickLabel', []);
set(gca, 'GridLineStyle', ':');
% text(0.02, 0.15, '(b)', 'FontSize',text_size, 'FontWeight', 'bold', 'Units','Normalized');
title('(a2) (Default Q10 − Obs. Q10) / Obs. Qmean', 'FontSize', title_size);
caxis([-0.8 0.8]);
grid on;
set(gca, 'GridLineStyle', ':');
set(gca, 'Color', [220 220 220]/255);
% regional best parameter --------------------------------------------------------
ax(5) = subplot(5,3,5)
variable = out_q90_metric;
cluster_ID = variable(:,4); lat = variable(:,2); lon = variable(:,3);metric_daily = (out_default(:,6) - out_obs(:,6))./out_obs(:,7);
% fmt = {'o','^','v','s','>','h','<'};
fmt = {'o','o','o','o','o','o','o'};
cluster=1; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=2; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=3; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=4; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=5; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=6; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=7; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
set(gca,'FontSize',tick_size);
plot(US(:,1), US(:,2),'.','MarkerSize',2,'Color','black'); hold on;
plot(SL(:,1), SL(:,2),'.','MarkerSize',2,'Color','black');
xlim([-128 -64]); ylim([23 52]); box on;
% caxis([cmin cmax]);
colormap(ax(5), brewermap([],'*RdBu'));
% colormap( brewermap([],'*RdBu'));
colorbar
caxis([q90_min q90_max]);
% ylabel('Latitude (\circ)', 'FontSize', label_size);
% xlabel('Longitude (\circ)', 'FontSize', label_size);
% xticks = [-120,-110,-100,-90,-80, -70];
% xticklabels_deg = cell(size(xticks));
% for i = 1:numel(xticks)
% xticklabels_deg{i} = [num2str(-xticks(i)) '°W'];
% end
% set(gca, 'XTick', xticks);
% set(gca, 'XTickLabel', xticklabels_deg);
yticks = [25, 30, 35, 40, 45, 50];
yticklabels_deg = cell(size(yticks));
for i = 1:numel(yticks)
yticklabels_deg{i} = [num2str(yticks(i)) '°N'];
end
set(gca, 'YTick', yticks);
set(gca, 'YTickLabel', yticklabels_deg);
set(gca, 'YTickLabel', []);
set(gca, 'XTickLabel', []);
set(gca, 'GridLineStyle', ':');
% text(0.02, 0.15, '(b)', 'FontSize',text_size, 'FontWeight', 'bold', 'Units','Normalized');
title('(b2) (Default Q90 − Obs. Q90) / Obs. Qmean', 'FontSize', title_size);
grid on;
set(gca, 'GridLineStyle', ':');
set(gca, 'Color', [220 220 220]/255);
% colormap(brewermap([],'*RdYlBu'));
% regional best parameter --------------------------------------------------------
ax(6) = subplot(5,3,6)
variable = out_qmean_metric;
cluster_ID = variable(:,4); lat = variable(:,2); lon = variable(:,3);metric_daily = (out_default(:,7) - out_obs(:,7))./out_obs(:,7);
% fmt = {'o','^','v','s','>','h','<'};
fmt = {'o','o','o','o','o','o','o'};
cluster=1; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=2; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=3; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=4; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=5; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=6; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=7; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
set(gca,'FontSize',tick_size);
plot(US(:,1), US(:,2),'.','MarkerSize',2,'Color','black'); hold on;
plot(SL(:,1), SL(:,2),'.','MarkerSize',2,'Color','black');
xlim([-128 -64]); ylim([23 52]); box on;
caxis([qmean_min qmean_max]);
colormap(ax(6), brewermap([],'*RdBu'));
colorbar
% ylabel('Latitude (\circ)', 'FontSize', label_size);
% xlabel('Longitude (\circ)', 'FontSize', label_size);
% xticks = [-120,-110,-100,-90,-80, -70];
% xticklabels_deg = cell(size(xticks));
% for i = 1:numel(xticks)
% xticklabels_deg{i} = [num2str(-xticks(i)) '°W'];
% end
% set(gca, 'XTick', xticks);
% set(gca, 'XTickLabel', xticklabels_deg);
yticks = [25, 30, 35, 40, 45, 50];
yticklabels_deg = cell(size(yticks));
for i = 1:numel(yticks)
yticklabels_deg{i} = [num2str(yticks(i)) '°N'];
end
set(gca, 'YTick', yticks);
set(gca, 'YTickLabel', yticklabels_deg);
set(gca, 'YTickLabel', []);
set(gca, 'XTickLabel', []);
set(gca, 'GridLineStyle', ':');
% text(0.02, 0.15, '(b)', 'FontSize',text_size, 'FontWeight', 'bold', 'Units','Normalized');
title('(c2) (Default Qmean − Obs. Qmean) / Obs. Qmean', 'FontSize', title_size);
grid on;
set(gca, 'GridLineStyle', ':');
set(gca, 'Color', [220 220 220]/255);
% GSCD regression only --------------------------------------------------------
ax(7) = subplot(5,3,7)
variable = out_q10_metric;
cluster_ID = variable(:,4); lat = variable(:,2); lon = variable(:,3);metric_daily = variable(:,6)./out_obs(:,7);
% fmt = {'o','^','v','s','>','h','<'};
fmt = {'o','o','o','o','o','o','o'};
cluster=1; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=2; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=3; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=4; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=5; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=6; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=7; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
set(gca,'FontSize',tick_size);
plot(US(:,1), US(:,2),'.','MarkerSize',2,'Color','black'); hold on;
plot(SL(:,1), SL(:,2),'.','MarkerSize',2,'Color','black');
xlim([-128 -64]); ylim([23 52]); box on;
% caxis([cmin cmax]);
colormap(ax(7), brewermap([],'*RdBu'));
colorbar
% ylabel('Latitude (\circ)', 'FontSize', label_size);
% xlabel('Longitude (\circ)', 'FontSize', label_size);
xticks = [-120,-110,-100,-90,-80, -70];
xticklabels_deg = cell(size(xticks));
for i = 1:numel(xticks)
xticklabels_deg{i} = [num2str(-xticks(i)) '°W'];
end
set(gca, 'XTick', xticks);
set(gca, 'XTickLabel', xticklabels_deg);
yticks = [25, 30, 35, 40, 45, 50];
yticklabels_deg = cell(size(yticks));
for i = 1:numel(yticks)
yticklabels_deg{i} = [num2str(yticks(i)) '°N'];
end
set(gca, 'YTick', yticks);
set(gca, 'YTickLabel', yticklabels_deg);
% set(gca, 'YTickLabel', []);
set(gca, 'XTickLabel', []);
set(gca, 'GridLineStyle', ':');
% text(0.02, 0.15, '(b)', 'FontSize',text_size, 'FontWeight', 'bold', 'Units','Normalized');
title('(a3) [R-P Q10 (mean) − Obs. Q10] / Obs. Qmean', 'FontSize', title_size);
caxis([-0.8 0.8]);
grid on;
set(gca, 'GridLineStyle', ':');
set(gca, 'Color', [220 220 220]/255);
% GSCD regression only --------------------------------------------------------
ax(8) = subplot(5,3,8)
variable = out_q90_metric;
cluster_ID = variable(:,4); lat = variable(:,2); lon = variable(:,3);metric_daily = variable(:,6)./out_obs(:,7);
% fmt = {'o','^','v','s','>','h','<'};
fmt = {'o','o','o','o','o','o','o'};
cluster=1; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;
cluster=2; scatter(lon(cluster_ID==cluster), lat(cluster_ID==cluster), scatter_size, metric_daily(cluster_ID==cluster), fmt{cluster},'filled', 'MarkerEdgeColor',[105 105 105]/255, 'LineWidth',line_width-0.5); hold on;