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TError_propagation.m
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% TERROR_propagation
% By: Sebastien Biass, Gholamhossein Bagheri, William Aeberhard and
% Costanza Bonadonna
% University of Geneva
% Copyright (C) 2014
%
% Updates: Apr 2016: Minor bug on plottig function
% Feb 2017: Fixed error on units (Thanks to Jean-Marie Prival)
%
% Email contact: costanza.bonadonna@unige.ch, sbiasse@hawaii.edu
%
% This program is free software;
% you can redistribute it and/or modify it under the terms of the
% GNU General Public License as published by the Free Software Foundation.
% This program is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
function TError_propagation
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Variable definition
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
run_nm = 'example2';% Run name
vent_ht = 6000; % Vent elevation (m)
trop_ht = 17000; % Tropopause height (m)
nb_sims = 10; % Number of iteration of Monte Carlo simulation
error_d = 2; % Error distribution
% 1: Uniform -> error for each parameter is the maximum error
% 2: Gaussian -> error for each parameter is the 3*sigma (i.e. ~99% confidence interval)
% Plume height - Carey and Sparks (1986)
dw_v = 20.6; % Downwind (km)
dw_e = 20; % Downwind error (%)
cw_v = 11.3; % Crosswind (km)
cw_e = 20; % Crosswind error (%)
dm_v = 1.6; % Diameter (cm)
dm_e = 20; % Diameter error (%)
cl_d = 2500; % Clast density (kgm-3)
% MER - Wilson and Walker (1987)
cstWW_v = 0.295; % Constant
cstWW_e = 20; % Constant error (%)
% MER - Mastin et al. (2009)
cstMa_v = 2; % Constant
cstMa_e = 20; % Constant error (%)
% MER - Degruyter and Bonadonna (2012)
wind_v = -1; % Maximum wind speed below tropopause (m/s)
% Set -1 to propagate the wind speed obtained from
% Carey and Sparks (1986)
wind_e = 20; % Wind speed error (%)
% Volume
fl = 'isopach_example.txt';
% Main file for volume calculation in a tab-delimited
% text file where:
% Row 1: Location of the breaks-in-slope (BIS) for the
% exponential method, max of 3 segments (2 BIS). Enter
% 0 to use only 1 segment
% Row 2:n :
% Col 1: Thickness (cm)
% Col 2: Thickness error (%)
% Col 3: Area (km2)
% Col 4: Area error (%)
% Volume - Bonadonna and Houghton (2005)
C_v = 300; % Distal integration limit (km)
C_e = 20; % Distal integration limit error (%)
% Volume - Bonadonna and Costa (2012)
% Ranges of lambda and n for the volume calculation using the Weibull fit.
% If ranges are entered as empty matrices (e.g. []), the code will
% automatically use the ranges suggested by Table 2 of Bonadonna and Costa
% (2013, Bull Volc) using an average value of volume based on
% the exponential and power-law methods to estimate the VEI.
lam_r = [5,100]; % Range of lambda for optimization algorithm
n_r = [.5,50]; % Range of n for optimization algorithm
% NOTE: These ranges were defined for the example provided here, change for
% your own data
% Duration
dep_d_v = 1000; % Bulk deposit density (kg/m3)
dep_d_e = 20; % Bulk deposit density error (%)
% Plotting options
plt = 1; % Plot figure? 0/1
frmt = '.eps'; % Output image format
max_err = 500; % Error limit (%) to plot above which all values will be comprised in the most extreme bin.
% Report options
pcile = [2, 5, 95, 98];
% Percentile used in the report. Note that pairs 1-4
% and 2-3 should be symmetrical
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Beginning of calculations
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
tstart = now;
home;
display('_________________________________________________________________');
display(sprintf('TError run %s started: %s', run_nm, datestr(tstart)));
% Create the output folders
display('- Creating output folders...')
if ~exist('Output/', 'dir')
mkdir('Output')
end
if exist(['Output/', run_nm, '/Propagation'], 'dir')
choice = questdlg('The output folder already exists. Overwrite?', ...
'', ...
'Yes','No','No');
% Handle response
switch choice
case 'Yes'
rmdir(['Output/', run_nm, '/Propagation'], 's');
mkdir(['Output/', run_nm, '/Propagation/']);
case 'No'
display('Enter a different run name');
return;
end
else
if exist(['Output/', run_nm, '/'], 'dir')
mkdir(['Output/', run_nm, '/Propagation/']);
else
mkdir(['Output/', run_nm, '/']); % Output folder
mkdir(['Output/', run_nm, '/Propagation/']); % Figure folder
end
end
% Add path to functions
addpath(genpath('dep/')); % Add path to required functions
%% Volume parameters
display('- Loading volume file...')
file = dlmread(fl); % Read volume file
bis = file(1,:); % Index value of the break in slope
file = file(2:end, 1:4); % Get data out of fle
file = flipud(sortrows(file, 1));
% Sort thickness in descending order
xdata = file(:,3); % Area (km2)
ydata = file(:,1); % Thickness (cm)
xerr = file(:,4); % Area error (%)
yerr = file(:,2); % Thickness error (%)
% Defines the breaks-in-slopes
if bis(1) == 0 % Case 1 segment
Aip = 0;
elseif bis(1) > 0 && bis(2) == 0 % Case 2 segments
Aip = bis(1);
elseif bis(2) > 0 && bis(3) == 0 % Case 3 segments
Aip = bis(1:2);
end
%% Create random values for each input parameter
display('- Creating randomness...')
dw_d = rand_err(error_d, nb_sims, dw_v, dw_e); % Downind range
cw_d = rand_err(error_d, nb_sims, cw_v, cw_e); % Crosswind range
dm_d = rand_err(error_d, nb_sims, dm_v, dm_e); % Clast diameter
cstWW_d = rand_err(error_d, nb_sims, cstWW_v, cstWW_e); % WW87 Constant
cstMa_d = rand_err(error_d, nb_sims, cstMa_v, cstMa_e); % Ma09 Constant
wind_d = rand_err(error_d, nb_sims, wind_v, wind_e); % Wind speed
C_d = rand_err(error_d, nb_sims, C_v, C_e); % Distal integration limit
dep_d_d = rand_err(error_d, nb_sims, dep_d_v, dep_d_e); % Bulk deposit density
% Thickness and area
xdata_d = zeros(size(xdata,1), nb_sims, 2);
ydata_d = zeros(size(ydata,1), nb_sims, 2);
for i = 1:nb_sims
if error_d == 1
xdata_d(:, i, 1) = -xerr + (xerr - (-xerr)) .* rand(size(xerr,1), 1);
ydata_d(:, i, 1) = -yerr + (yerr - (-yerr)) .* rand(size(yerr,1), 1);
else
xdata_d(:, i, 1) = rand_G(0, xerr./2, size(xerr,1));
ydata_d(:, i, 1) = rand_G(0, yerr./2, size(yerr,1));
end
xdata_d(:, i, 2) = xdata + xdata .* xdata_d(:, i, 1)./100;
ydata_d(:, i, 2) = ydata + ydata .* ydata_d(:, i, 1)./100;
end
%% Storage matrices
% Col 1: Errors (%)
% Col 2: Values ± errors
display('- Creating storage matrices...')
% Plume height and wind speed
HT = zeros(nb_sims, 2, 2);
% Dim 3:
% 1: Height
% 2: Wind speed
% MER
MER = zeros(nb_sims, 2, 3);
% Dim 3:
% 1: Wilson and Walker (1987)
% 2: Mastin et al. (2009)
% 3: Degtuyter and Bonadonna (2012)
% Volume
VOL = zeros(nb_sims, 2, 3);
% Dim 3:
% 1: Exponential
% 2: Power Law
% 3: Weibull
% Fits
if bis(1) == 0
FIT_EXP = zeros(nb_sims, 2, 1, 2);
elseif bis(1) > 0 && bis(2) == 0
FIT_EXP = zeros(nb_sims, 2, 2, 2);
elseif bis(2) > 0 && bis(3) == 0
FIT_EXP = zeros(nb_sims, 2, 3, 2);
end
% Dim 1: sims
% Dim 2:
% 1: T0
% 2: k
% Dim 3: segments
% Dim 4:
% 1: Values
% 2: Errors
FIT_PL = zeros(nb_sims, 2, 2);
% Dim 3:
% 1: Values
% 2: Errors
FIT_WBL = zeros(nb_sims, 2, 3);
% Dim 3:
% 1: Values
% 2: Errors
% Mass
MASS = zeros(nb_sims, 2, 3);
% Dim 3:
% 1: Exponential
% 2: Power Law
% 3: Weibull
% Duration
DUR = zeros(nb_sims, 2, 9);
% Dim 3:
% 1: Wilson & Walker - Exponential
% 2: Wilson & Walker - Power Law
% 3: Wilson & Walker - Weibull
% 4: Mastin et al. - Exponential
% 5: Mastin et al. - Power Law
% 6: Mastin et al. - Weibull
% 7: Degruyter & Bonadonna - Exponential
% 8: Degruyter & Bonadonna - Power Law
% 9: Degruyter & Bonadonna - Weibull
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Calculation using reference values
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
display('- Calculations using reference values...')
% Plume height and wind speed
[ht, wd]= get_height_CS86(dw_v, cw_v, dm_v, cl_d); % Plume height, wind
% MER
mer(1) = get_MER_WW87(ht - vent_ht/1000, cstWW_v); % MER - Wilson & Walker
mer(2) = get_MER_M09(ht - vent_ht/1000, cstMa_v); % MER - Mastin et al.
if wind_v == -1
mer(3) = get_MER_DB12(ht - vent_ht/1000, wd, (trop_ht-vent_ht)/1000); % MER - Degruyter and Bonadonna with wind from Carey and Sparks
else
mer(3) = get_MER_DB12(ht - vent_ht/1000, wind_v, (trop_ht-vent_ht)/1000); % MER - Degruyter and Bonadonna with user-defined wind
end
% Volume
[vol(1), fit_FN92] = fn1992(xdata.^0.5, log(ydata), Aip);
[vol(2), fit_BH05] = bh2005(xdata.^0.5, ydata, fit_FN92(1), C_v);
if isempty(lam_r)
[lam_r, n_r] = get_WBL_ranges(mean([vol(1), vol(2)]));
end
[vol(3), fit_BC12] = bc2012(xdata.^0.5, ydata, lam_r, n_r);
% Mass
mass(1) = vol(1) * 10^9 * dep_d_v;
mass(2) = vol(2) * 10^9 * dep_d_v;
mass(3) = vol(3) * 10^9 * dep_d_v;
% Duration
dur(1) = mass(1) / mer(1) / 60;
dur(2) = mass(2) / mer(1) / 60;
dur(3) = mass(3) / mer(1) / 60;
dur(4) = mass(1) / mer(2) / 60;
dur(5) = mass(2) / mer(2) / 60;
dur(6) = mass(3) / mer(2) / 60;
dur(7) = mass(1) / mer(3) / 60;
dur(8) = mass(2) / mer(3) / 60;
dur(9) = mass(3) / mer(3) / 60;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Height, wind and MER
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Plume height and wind speed
display('- Propagating error in plume height...')
for i = 1:nb_sims
[HT(i,2,1), HT(i,2,2)] = get_height_CS86(dw_d(i,2), cw_d(i,2), dm_d(i,2), cl_d);
end
HT(:,1,1) = (HT(:,2,1) - ht) ./ ht*100; % Normalize over median values
HT(:,1,2) = (HT(:,2,2) - wd) ./ wd*100; % Normalize over median values
% MER
display('- Propagating error in MER...')
MER(:,2,1) = get_MER_WW87(HT(:,2,1) - vent_ht/1000, cstWW_d(:,2));
MER(:,2,2) = get_MER_M09(HT(:,2,1) - vent_ht/1000, cstMa_d(:,2));
for i = 1:nb_sims
if wind_v == -1
MER(i,2,3) = get_MER_DB12(HT(i,2,1) - vent_ht/1000, HT(i,2,2), (trop_ht-vent_ht)/1000);
else
MER(i,2,3) = get_MER_DB12(HT(i,2,1) - vent_ht/1000, wind_d(i,2), (trop_ht-vent_ht)/1000);
end
end
MER(:,1,1) = (MER(:,2,1) - mer(1)) ./ mer(1)*100; % Normalize over median values
MER(:,1,2) = (MER(:,2,2) - mer(2)) ./ mer(2)*100; % Normalize over median values
MER(:,1,3) = (MER(:,2,3) - mer(3)) ./ mer(3)*100; % Normalize over median values
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Volume and Mass
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
display('- Propagating error in volume (this can take some time)...')
cmap = jet(nb_sims);
h2 = figure('Position', [560,340,562,608], 'Visible', 'off');
ax1 = subplot(3,1,1);
set(ax1, 'YScale', 'log');
title('Exponential');
xlabel('Area^0^.^5');
ylabel('Thickness (cm)');
xlim([0 C_v]);
ylim([10^-2 10^7]);
hold on
ax2 = subplot(3,1,2);
set(ax2, 'YScale', 'log');
title('Power Law');
xlabel('Area^0^.^5');
ylabel('Thickness (cm)');
xlim([0 C_v]);
ylim([10^-2 10^7]);
hold on
ax3 = subplot(3,1,3);
set(ax3, 'YScale', 'log');
title('Weibull');
xlabel('Area^0^.^5');
ylabel('Thickness (cm)');
xlim([0 C_v]);
ylim([10^-2 10^7]);
hold on
% Fits volumes
wb = waitbar(0, 'Fitting isopach data...');
for i = 1:nb_sims
[VOL(i,2,1), fit_tmp] = fn1992(sqrt(xdata_d(:,i,2)), log(ydata_d(:,i,2)), Aip);
FIT_EXP(i,:,:,2) = reshape(fit_tmp', 1,2,size(fit_tmp,1));
[VOL(i,2,2), fit_tmp_pl] = bh2005(sqrt(xdata_d(:,i,2)), ydata_d(:,i,2), fit_tmp(1), C_d(i,2));
FIT_PL(i,2,:) = reshape([10^fit_tmp_pl(1), fit_tmp_pl(2)],1,1,2);
[VOL(i,2,3), fit_tmp_wbl] = bc2012(sqrt(xdata_d(:,i,2)), ydata_d(:,i,2), lam_r, n_r);
FIT_WBL(i,2,:) = reshape(fit_tmp_wbl, 1,1,3);
plot_fits_sep(xdata, Aip, C_d(i,2), fit_tmp, fit_tmp_pl, fit_tmp_wbl, ax1, ax2, ax3, cmap(i,:));
waitbar(i/nb_sims);
end
close(wb);
hold off
VOL(:,1,1) = (VOL(:,2,1) - vol(1)) ./ vol(1)*100;
VOL(:,1,2) = (VOL(:,2,2) - vol(2)) ./ vol(2)*100;
VOL(:,1,3) = (VOL(:,2,3) - vol(3)) ./ vol(3)*100;
if bis(1) == 0
FIT_EXP(:,1,1,1) = (exp(FIT_EXP(:,1,1,2)) - exp(fit_FN92(1,1))) ./ exp(fit_FN92(1,1))*100;
FIT_EXP(:,2,1,1) = (FIT_EXP(:,2,1,2) - fit_FN92(1,2)) ./ fit_FN92(1,2)*100;
elseif bis(1) > 0 && bis(2) == 0
FIT_EXP(:,1,1,1) = (exp(FIT_EXP(:,1,1,2)) - exp(fit_FN92(1,1))) ./ exp(fit_FN92(1,1))*100;
FIT_EXP(:,2,1,1) = (FIT_EXP(:,2,1,2) - fit_FN92(1,2)) ./ fit_FN92(1,2)*100;
FIT_EXP(:,1,2,1) = (exp(FIT_EXP(:,1,2,2)) - exp(fit_FN92(2,1))) ./ exp(fit_FN92(2,1))*100;
FIT_EXP(:,2,2,1) = (FIT_EXP(:,2,2,2) - fit_FN92(2,2)) ./ fit_FN92(2,2)*100;
elseif bis(2) > 0 && bis(3) == 0
FIT_EXP(:,1,1,1) = (exp(FIT_EXP(:,1,1,2)) - exp(fit_FN92(1,1))) ./ exp(fit_FN92(1,1))*100;
FIT_EXP(:,2,1,1) = (fit_FN92(1,2) - FIT_EXP(:,2,1,2)) ./ fit_FN92(1,2)*100;
FIT_EXP(:,1,2,1) = (exp(FIT_EXP(:,1,2,2)) - exp(fit_FN92(2,1))) ./ exp(fit_FN92(2,1))*100;
FIT_EXP(:,2,2,1) = (fit_FN92(2,2) - FIT_EXP(:,2,2,2)) ./ fit_FN92(2,2)*100;
FIT_EXP(:,1,3,1) = (exp(FIT_EXP(:,1,3,2)) - exp(fit_FN92(3,1))) ./ exp(fit_FN92(3,1))*100;
FIT_EXP(:,2,3,1) = (fit_FN92(3,2) - FIT_EXP(:,2,3,2)) ./ fit_FN92(3,2)*100;
end
FIT_PL(:,1,1) = (FIT_PL(:,2,1) - 10^fit_BH05(1)) ./ 10^fit_BH05(1)*100;
FIT_PL(:,1,2) = (FIT_PL(:,2,2) - fit_BH05(2)) ./ fit_BH05(2)*100;
FIT_WBL(:,1,1) = (FIT_WBL(:,2,1) - fit_BC12(1)) ./ fit_BC12(1)*100;
FIT_WBL(:,1,2) = (FIT_WBL(:,2,2) - fit_BC12(2)) ./ fit_BC12(2)*100;
FIT_WBL(:,1,3) = (FIT_WBL(:,2,3) - fit_BC12(3)) ./ fit_BC12(3)*100;
% Mass
display('- Propagating error in mass...')
MASS(:,2,1) = VOL(:,2,1) .* 10^9 .* dep_d_d(:,2);
MASS(:,2,2) = VOL(:,2,2) .* 10^9 .* dep_d_d(:,2);
MASS(:,2,3) = VOL(:,2,3) .* 10^9 .* dep_d_d(:,2);
MASS(:,1,1) = (MASS(:,2,1) - mass(1)) ./ mass(1)*100;
MASS(:,1,2) = (MASS(:,2,2) - mass(2)) ./ mass(2)*100;
MASS(:,1,3) = (MASS(:,2,3) - mass(3)) ./ mass(3)*100;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Duration
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
display('- Propagating error in duration...')
DUR(:,2,1) = MASS(:,2,1) ./ MER(:,2,1) ./ 60;
DUR(:,2,2) = MASS(:,2,2) ./ MER(:,2,1) ./ 60;
DUR(:,2,3) = MASS(:,2,3) ./ MER(:,2,1) ./ 60;
DUR(:,2,4) = MASS(:,2,1) ./ MER(:,2,2) ./ 60;
DUR(:,2,5) = MASS(:,2,2) ./ MER(:,2,2) ./ 60;
DUR(:,2,6) = MASS(:,2,3) ./ MER(:,2,2) ./ 60;
DUR(:,2,7) = MASS(:,2,1) ./ MER(:,2,3) ./ 60;
DUR(:,2,8) = MASS(:,2,2) ./ MER(:,2,3) ./ 60;
DUR(:,2,9) = MASS(:,2,3) ./ MER(:,2,3) ./ 60;
DUR(:,1,1) = (DUR(:,2,1) - dur(1)) ./ dur(1)*100;
DUR(:,1,2) = (DUR(:,2,2) - dur(2)) ./ dur(2)*100;
DUR(:,1,3) = (DUR(:,2,3) - dur(3)) ./ dur(3)*100;
DUR(:,1,4) = (DUR(:,2,4) - dur(4)) ./ dur(4)*100;
DUR(:,1,5) = (DUR(:,2,5) - dur(5)) ./ dur(5)*100;
DUR(:,1,6) = (DUR(:,2,6) - dur(6)) ./ dur(6)*100;
DUR(:,1,7) = (DUR(:,2,7) - dur(7)) ./ dur(7)*100;
DUR(:,1,8) = (DUR(:,2,8) - dur(8)) ./ dur(8)*100;
DUR(:,1,9) = (DUR(:,2,9) - dur(9)) ./ dur(9)*100;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Prepare the output
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Write the report
display('- Writing the output report...')
fid = fopen(['Output/', run_nm, '/', 'propagation.txt'], 'w');
fprintf(fid, '%s\t%s\t%s\t%s\t%s\t%s\t%s\t%s\t%s\t%s\t%s\t%s\t%s\n', ...
'Parameter', 'Input value', 'Error', 'Mean', 'Median', 'Minimum', [num2str(pcile(1)),'th%'], [num2str(pcile(2)),'th%'], '25th%', '75th%', [num2str(pcile(3)),'th%'], [num2str(pcile(4)),'th%'], 'Maximum');
% Input parameters
writefile(fid, dw_d, dw_v, dw_e, 'Downwind range (km)', 0,0, pcile);
writefile(fid, cw_d, cw_v, cw_e, 'Crosswind range (km)', 0,0, pcile);
writefile(fid, dm_d, dm_v, dm_e, 'Clast diameter (cm)', 0,0, pcile);
writefile(fid, cstWW_d, cstWW_v, cstWW_e, 'WW87 constant', 0,0, pcile);
writefile(fid, cstMa_d, cstMa_v, cstMa_e, 'Ma09 constant', 0,0, pcile);
writefile(fid, dep_d_d, dep_d_v, dep_d_e, 'Deposit density (kgm-3)', 0,0, pcile);
if wind_v ~= -1
writefile(fid, wind_d, wind_v, wind_e, 'Wind speed (ms-1)', 0,0, pcile);
end
writefile(fid, C_d, C_v, C_e, 'Distal integration limit (km)', 0,0, pcile);
fprintf(fid, '\n');
writefile(fid, HT(:,:,1), ht, [], 'Plume height (km asl)', 0,1, pcile);
writefile(fid, HT(:,:,2), wd, [], 'Wind speed (ms-1)', 0,1, pcile);
writefile(fid, MER(:,:,1), mer(1), [], 'MER - W&W87 (kgs-1)', 1,1, pcile);
writefile(fid, MER(:,:,2), mer(2), [], 'MER - Ma09 (kgs-1)', 1,1, pcile);
writefile(fid, MER(:,:,3), mer(3), [], 'MER - D&B12 (kgs-1)', 1,1, pcile);
fprintf(fid, '\n');
if bis(1) == 0
writefile(fid, [FIT_EXP(:,1,1,1), exp(FIT_EXP(:,1,1,2))], exp(fit_FN92(1,1)), [], 'Exp-T01', 0,1, pcile);
writefile(fid, [FIT_EXP(:,2,1,1), FIT_EXP(:,2,1,2)], fit_FN92(1,2), [], 'Exp-k1', 0,1, pcile);
elseif bis(1) > 0 && bis(2) == 0
writefile(fid, [FIT_EXP(:,1,1,1), exp(FIT_EXP(:,1,1,2))], exp(fit_FN92(1,1)), [], 'Exp-T01', 0,1, pcile);
writefile(fid, [FIT_EXP(:,2,1,1), FIT_EXP(:,2,1,2)], fit_FN92(1,2), [], 'Exp-k1', 0,1, pcile);
writefile(fid, [FIT_EXP(:,1,2,1), exp(FIT_EXP(:,1,2,2))], exp(fit_FN92(2,1)), [], 'Exp-T02', 0,1, pcile);
writefile(fid, [FIT_EXP(:,2,2,1), FIT_EXP(:,2,2,2)], fit_FN92(2,2), [], 'Exp-k2', 0,1, pcile);
elseif bis(2) > 0 && bis(3) == 0
writefile(fid, [FIT_EXP(:,1,1,1), exp(FIT_EXP(:,1,1,2))], exp(fit_FN92(1,1)), [], 'Exp-T01', 0,1, pcile);
writefile(fid, [FIT_EXP(:,2,1,1), FIT_EXP(:,2,1,2)], fit_FN92(1,2), [], 'Exp-k1', 0,1, pcile);
writefile(fid, [FIT_EXP(:,1,2,1), exp(FIT_EXP(:,1,2,2))], exp(fit_FN92(2,1)), [], 'Exp-T02', 0,1, pcile);
writefile(fid, [FIT_EXP(:,2,2,1), FIT_EXP(:,2,2,2)], fit_FN92(2,2), [], 'Exp-k2', 0,1, pcile);
writefile(fid, [FIT_EXP(:,1,3,1), exp(FIT_EXP(:,1,3,2))], exp(fit_FN92(3,1)), [], 'Exp-T03', 0,1, pcile);
writefile(fid, [FIT_EXP(:,2,3,1), FIT_EXP(:,2,3,2)], fit_FN92(3,2), [], 'Exp-k3', 0,1, pcile);
end
writefile(fid, FIT_PL(:,:,1), 10^(fit_BH05(1)), [], 'PL-Tpl', 0,1, pcile);
writefile(fid, FIT_PL(:,:,2), fit_BH05(2), [], 'PL-k', 0,1, pcile);
writefile(fid, FIT_WBL(:,:,1), fit_BC12(1), [], 'WBL-Theta', 0,1, pcile);
writefile(fid, FIT_WBL(:,:,2), fit_BC12(2), [], 'WBL-Lambda', 0,1, pcile);
writefile(fid, FIT_WBL(:,:,3), fit_BC12(3), [], 'WBL-n', 0,1, pcile);
fprintf(fid, '\n');
writefile(fid, VOL(:,:,1), vol(1), [], 'Volume Exp (km3)', 1,1, pcile);
writefile(fid, VOL(:,:,2), vol(2), [], 'Volume PL (km3)', 1,1, pcile);
writefile(fid, VOL(:,:,3), vol(3), [], 'Volume WBL (km3)', 1,1, pcile);
fprintf(fid, '\n');
writefile(fid, MASS(:,:,1), mass(1), [], 'Mass Exp (kg)', 1,1, pcile);
writefile(fid, MASS(:,:,2), mass(2), [], 'Mass PL (kg)', 1,1, pcile);
writefile(fid, MASS(:,:,3), mass(3), [], 'Mass WBL (kg)', 1,1, pcile);
fprintf(fid, '\n');
writefile(fid, [DUR(:,1,1), DUR(:,2,1)], dur(1), [], 'Duration W&W87-Exp (min)', 0,1, pcile);
writefile(fid, [DUR(:,1,2), DUR(:,2,2)], dur(2), [], 'Duration W&W87-PL (min)', 0,1, pcile);
writefile(fid, [DUR(:,1,3), DUR(:,2,3)], dur(3), [], 'Duration W&W87-WBL (min)', 0,1, pcile);
writefile(fid, [DUR(:,1,4), DUR(:,2,4)], dur(4), [], 'Duration Ma09-Exp (min)', 0,1, pcile);
writefile(fid, [DUR(:,1,5), DUR(:,2,5)], dur(5), [], 'Duration Ma09-PL (min)', 0,1, pcile);
writefile(fid, [DUR(:,1,6), DUR(:,2,6)], dur(6), [], 'Duration Ma09-WBL (min)', 0,1, pcile);
writefile(fid, [DUR(:,1,7), DUR(:,2,7)], dur(7), [], 'Duration D&B12-Exp (min)', 0,1, pcile);
writefile(fid, [DUR(:,1,8), DUR(:,2,8)], dur(8), [], 'Duration D&B12-PL (min)', 0,1, pcile);
writefile(fid, [DUR(:,1,9), DUR(:,2,9)], dur(9), [], 'Duration D&B12-WBL (min)', 0,1, pcile);
fclose(fid);
%% Plot figures
if plt == 1
display('- Plotting results and saving figures...')
count = 1;
% Input parameters
plot_results(dw_d, dw_v, max_err, nb_sims, 'Downwind range (km)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_downwind', frmt]); count = count + 1;
plot_results(cw_d, cw_v, max_err, nb_sims, 'Crosswind range (km)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_crosswind', frmt]); count = count + 1;
plot_results(dm_d, dm_v, max_err, nb_sims, 'Clast diameter (cm)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_diameter', frmt]); count = count + 1;
plot_results(cstWW_d, cstWW_v, max_err, nb_sims, 'WW87 Constant', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_WW87cst', frmt]); count = count + 1;
plot_results(cstMa_d, cstMa_v, max_err, nb_sims, 'Ma09 Constant', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_Ma09cst', frmt]); count = count + 1;
plot_results(dep_d_d, dep_d_v, max_err, nb_sims, 'Deposit density (kgm^-^3)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_deposit_density', frmt]); count = count + 1;
plot_results(C_d, C_v, max_err, nb_sims, 'PL integration limit (km)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_C', frmt]); count = count + 1;
if wind_v ~= -1
plot_results(dw_d, dw_v, max_err, nb_sims, 'Wind speed (ms^-^1)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_wind_speed', frmt]); count = count + 1;
end
% Plume height
plot_results(HT(:,:,1), ht, max_err, nb_sims, 'Plume height (km asl)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_plume_height_CS86', frmt]); count = count + 1;
plot_results(HT(:,:,2), wd, max_err, nb_sims, 'Wind speed (ms^-^1)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_wind_speed_CS86', frmt]); count = count + 1;
% MER
plot_results(MER(:,:,1), mer(1), max_err, nb_sims, 'MER (kgs^-^1)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_MER_WW87', frmt]); count = count + 1;
plot_results(MER(:,:,2), mer(2), max_err, nb_sims, 'MER (kgs^-^1)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_MER_Ma09', frmt]); count = count + 1;
plot_results(MER(:,:,3), mer(3), max_err, nb_sims, 'MER (kgs^-^1)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_MER_DB12', frmt]); count = count + 1;
% Volume fits
plot_fits(xdata, ydata, xerr, yerr, Aip, C_v, fit_FN92, fit_BH05, fit_BC12); saveas(gcf, ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_fits', frmt]); close(gcf); count = count + 1;
saveas(h2, ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_fits_detail', frmt]); close(h2); count = count + 1;
if bis(1) == 0
plot_results([FIT_EXP(:,1,1,1), exp(FIT_EXP(:,1,1,2))], exp(fit_FN92(1,1)), max_err, nb_sims, 'T_01', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_T01_FN92', frmt]); count = count + 1;
plot_results([FIT_EXP(:,2,1,1), FIT_EXP(:,2,1,2)], fit_FN92(1,2), max_err, nb_sims, 'k1', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_k1_FN92', frmt]); count = count + 1;
elseif bis(1) > 0 && bis(2) == 0
plot_results([FIT_EXP(:,1,1,1), exp(FIT_EXP(:,1,1,2))], exp(fit_FN92(1,1)), max_err, nb_sims, 'T_01', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_T01_FN92', frmt]); count = count + 1;
plot_results([FIT_EXP(:,2,1,1), FIT_EXP(:,2,1,2)], fit_FN92(1,2), max_err, nb_sims, 'k1', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_k1_FN92', frmt]); count = count + 1;
plot_results([FIT_EXP(:,1,2,1), exp(FIT_EXP(:,1,2,2))], exp(fit_FN92(2,1)), max_err, nb_sims, 'T_02', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_T02_FN92', frmt]); count = count + 1;
plot_results([FIT_EXP(:,2,2,1), FIT_EXP(:,2,2,2)], fit_FN92(2,2), max_err, nb_sims, 'k2', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_k2_FN92', frmt]); count = count + 1;
elseif bis(2) > 0 && bis(3) == 0
plot_results([FIT_EXP(:,1,1,1), exp(FIT_EXP(:,1,1,2))], exp(fit_FN92(1,1)), max_err, nb_sims, 'T_01', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_T01_FN92', frmt]); count = count + 1;
plot_results([FIT_EXP(:,2,1,1), FIT_EXP(:,2,1,2)], fit_FN92(1,2), max_err, nb_sims, 'k1', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_k1_FN92', frmt]); count = count + 1;
plot_results([FIT_EXP(:,1,2,1), exp(FIT_EXP(:,1,2,2))], exp(fit_FN92(2,1)), max_err, nb_sims, 'T_02', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_T02_FN92', frmt]); count = count + 1;
plot_results([FIT_EXP(:,2,2,1), FIT_EXP(:,2,2,2)], fit_FN92(2,2), max_err, nb_sims, 'k2', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_k2_FN92', frmt]); count = count + 1;
plot_results([FIT_EXP(:,1,3,1), exp(FIT_EXP(:,1,3,2))], exp(fit_FN92(3,1)), max_err, nb_sims, 'T_03', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_T03_FN92', frmt]); count = count + 1;
plot_results([FIT_EXP(:,2,3,1), FIT_EXP(:,2,3,2)], fit_FN92(3,2), max_err, nb_sims, 'k3', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_k3_FN92', frmt]); count = count + 1;
end
plot_results(FIT_PL(:,:,1), 10^(fit_BH05(1)), max_err, nb_sims, 'T_p_l', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_Tpl_BH05', frmt]); count = count + 1;
plot_results(FIT_PL(:,:,2), fit_BH05(2), max_err, nb_sims, 'k', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_k_BH05', frmt]); count = count + 1;
plot_results(FIT_WBL(:,:,1), fit_BC12(1), max_err, nb_sims, '\theta', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_theta_BC12', frmt]); count = count + 1;
plot_results(FIT_WBL(:,:,2), fit_BC12(2), max_err, nb_sims, '\lambda', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_lambda_BC12', frmt]); count = count + 1;
plot_results(FIT_WBL(:,:,3), fit_BC12(3), max_err, nb_sims, 'n', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_n_BC12', frmt]); count = count + 1;
% Volume
plot_results(VOL(:,:,1), vol(1), max_err, nb_sims, 'Volume (km^3)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_volume_FN92', frmt]); count = count + 1;
plot_results(VOL(:,:,2), vol(2), max_err, nb_sims, 'Volume (km^3)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_volume_BH05', frmt]); count = count + 1;
plot_results(VOL(:,:,3), vol(3), max_err, nb_sims, 'Volume (km^3)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_volume_BC12', frmt]); count = count + 1;
% Mass
plot_results(MASS(:,:,1), mass(1), max_err, nb_sims, 'Mass (kg)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_mass_FN92', frmt]); count = count + 1;
plot_results(MASS(:,:,2), mass(2), max_err, nb_sims, 'Mass (kg)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_mass_BH05', frmt]); count = count + 1;
plot_results(MASS(:,:,3), mass(3), max_err, nb_sims, 'Mass (kg)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_mass_BC12', frmt]); count = count + 1;
% Duration
plot_results(DUR(:,:,1), dur(1), max_err, nb_sims, 'Duration (min)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_Duration_WW87-FN92', frmt]); count = count + 1;
plot_results(DUR(:,:,2), dur(2), max_err, nb_sims, 'Duration (min)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_Duration_WW87-BH05', frmt]); count = count + 1;
plot_results(DUR(:,:,3), dur(3), max_err, nb_sims, 'Duration (min)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_Duration_WW87-BC12', frmt]); count = count + 1;
plot_results(DUR(:,:,4), dur(4), max_err, nb_sims, 'Duration (min)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_Duration_Ma09-FN92', frmt]); count = count + 1;
plot_results(DUR(:,:,5), dur(5), max_err, nb_sims, 'Duration (min)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_Duration_Ma09-BH05', frmt]); count = count + 1;
plot_results(DUR(:,:,6), dur(6), max_err, nb_sims, 'Duration (min)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_Duration_Ma09-BC12', frmt]); count = count + 1;
plot_results(DUR(:,:,7), dur(7), max_err, nb_sims, 'Duration (min)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_Duration_DB12-FN92', frmt]); count = count + 1;
plot_results(DUR(:,:,8), dur(8), max_err, nb_sims, 'Duration (min)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_Duration_DB12-BH05', frmt]); count = count + 1;
plot_results(DUR(:,:,9), dur(9), max_err, nb_sims, 'Duration (min)', ['Output/', run_nm, '/Propagation/', num2str(count, '%02.0f'), '_Duration_DB12-BC12', frmt]);
end
display(sprintf('TError run %s finished: %s (time elapsed: %3.0f min)', run_nm, datestr(now), etime(datevec(now),datevec(tstart))/60));
display('_________________________________________________________________');