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Copy pathcalibration_routine_O_P_Chl_sed.m
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calibration_routine_O_P_Chl_sed.m
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function x = calibration_routine()
tic
format shortEng
format compact
% parpool
% gaoptions = optimoptions('ga','UseParallel',true);
% x = [0.032; 0.3627];
% lb = x0*0.1;
% ub = x0*10;
[lake_params, sediment_params] = load_params();
% Niva sediment cores & inputs scaled & k_chl=3; err= r^2*RMSD, res=~850.34 % ====================================================
x = [0.0954507159077614; 0.200583020651291; 1.44777416925993; 0.444680762956579; 0.0500000000000000; 0.209087437993630; 1.26668516980844; 1.20000000000000; 0.0765004968774690; 1.00000000000000e-05; 1.00000000000000e-05; 0.0108503379659131; 0.0208594885646256; 2; 1; 0.111452954004814; 0.0756702079558015; 0.0633637582049403; 0.100000000000000; 0.0957726460081909; 1.96425357122318; 19.1927004493911; 63.3645672158996; 82.0717029692034; 1.58775222593736; 1; 71.8011131097223; 29.5660628177359; 1.06765260957026; 0.206574107548012; 1; 3.94332721070197; 1.69575727538507];
lb = [0.05 , 0.1 , 1 , 0.2 , 0.05 , 0.1 , 1 , 0.2 , 0.01 , 1e-5 , 1e-5 , 0.005 , 0.005 , 1 , 0, 0.01, 0.001, 0.001, 0.001, 0.001, 0.001, 0.001, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0];
ub = [0.5 , 0.3 , 1.5 , 2 , 0.5 , 0.3 , 1.5 , 2 , 1 , 1e-4 , 1e-4 , 0.045 , 0.045 , 100 , 1, 1, 0.1, 0.1, 0.1, 0.1, 100, 100, 100, 100, 100, 100, 100, 100, 2, 100, 100, 100, 100];
fcns = {@gaplotscorediversity, @gaplotstopping, @gaplotgenealogy, @gaplotscores, @gaplotdistance, @gaplotselection, @gaplotmaxconstr, @gaplotbestf, @gaplotbestindiv, @gaplotexpectation, @gaplotrange, @gaplotpareto, @gaplotparetodistance, @gaplotrankhist, @gaplotspread};
population_size = 72; % Populations size for each generation of the genetic algorithm
max_generations = 7; % How many generations to run the genetic algorithm for
parallelize = true;
% options = gaoptimset('Display','iter','UseParallel', true, 'TolFun', 1e-2, 'PlotFcns', fcns);
options = optimoptions('ga', 'MaxGenerations', max_generations, 'PopulationSize', population_size, 'UseParallel', parallelize);
x = ga(@opt_fun,length(x),[],[],[],[],lb,ub, @nonlcon, options)
%% opt_fun: function which we are going to minimize
function [res] = opt_fun(x)
[lake_params, sediment_params] = load_params();
lake_params{47} = x(1); % 50.0000e-003 % 47 settling velocity for Chl1 a (m day-1)
lake_params{49} = x(2); % 110.6689e-003 % 49 loss rate (1/day) at 20 deg C
lake_params{50} = x(3); % 1.0000e+000 % 50 specific growth rate (1/day) at 20 deg C
lake_params{53} = x(4); % 638.9222e-003 % 53 Half saturation growth P level (mg/m3)
lake_params{56} = x(5); % 204.8121e-003 % 56 Settling velocity for Chl2 a (m day-1)
lake_params{57} = x(6); % 167.6746e-003 % 57 Loss rate (1/day) at 20 deg C
lake_params{58} = x(7); % 1.0985e+000 % 58 Specific growth rate (1/day) at 20 deg C
lake_params{59} = x(8); % 1.5525e+000 % 59 Half saturation growth P level (mg/m3)
lake_params{46} = x(9); % 53.9466e-003 % % 46 settling velocity for S (m day-1)
lake_params{10} = x(10); % 24.5705e-006 % 10 PAR saturation level for phytoplankton growth (mol(quanta) m-2 s-1)
lake_params{54} = x(11); % 75.5867e-006 % 16 PAR saturation level for phytoplankton growth (mol(quanta) m-2 s-1)
lake_params{12} = x(12); % 45.0000e-003 % 12 Optical cross_section of chlorophyll (m2 mg-1)
lake_params{55} = x(13); % 29.6431e-003 % 17 Optical cross_section of chlorophyll (m2 mg-1)
sediment_params{52} = x(14); % 65.1237e+000 % accel
lake_params{24} = x(15); % 390.1162e-003 % 24 scaling factor for inflow concentration of POP (-)
% new added for cores
sediment_params{1} = x(16); % 'k_Chl', % % 1
sediment_params{2} = x(17); % 'k_POP', % % 1
sediment_params{3} = x(18); % 'k_POC', % % 0.01
sediment_params{4} = x(19); % 'k_DOP', % % 1
sediment_params{5} = x(20); % 'k_DOC', % % 1
sediment_params{23} = x(21); % 'k_pdesorb_a', %
sediment_params{24} = x(22); % 'k_pdesorb_b', %
% for cores too (scaling unknown inputs):
lake_params{18} = x(23);% scaling factor for inflow concentration of C (-)
lake_params{19} = x(24);% scaling factor for inflow concentration of POC (-)
lake_params{20} = x(25);% scaling factor for inflow concentration of total P (-)
lake_params{21} = x(26);% scaling factor for inflow concentration of diss. organic P (-)
lake_params{22} = x(27);% scaling factor for inflow concentration of Chl a (-)
lake_params{23} = x(28);% scaling factor for inflow concentration of DOC (-)
lake_params{25} = x(29);% Scaling factor for inflow concentration of O2 (-)
lake_params{27} = x(30);% Scaling factor for inflow concentration of NO3 (-)
lake_params{34} = x(31);% Scaling factor for inflow concentration of Fe3 (-)
lake_params{35} = x(32);% Scaling factor for inflow concentration of Al3 (-)
lake_params{37} = x(33);% Scaling factor for inflow concentration of CaCO3 (-)
% sediment_params{73} = 48;
run_ID = 'Vansjo_Hist_M0' ; % CALIBRATION RUN
clim_ID = run_ID;
m_start=[2000, 1, 1]; % Do not change this date if you are calibrating the cores (using relative dates in the code)
m_stop=[2013, 10, 31]; %
run_INCA = 0; % 1- MyLake will run INCA, 0- No run
use_INCA = 0; % 1- MyLake will take written INCA input, either written just now or saved before, and prepare inputs from them. 0- MyLake uses hand-made input files
is_save_results = false;
% disp(datetime('now'));
try
[MyLake_results, Sediment_results] = fn_MyL_application(m_start, m_stop, sediment_params, lake_params, use_INCA, run_INCA, run_ID, clim_ID, is_save_results); % runs the model and outputs obs and sim
load('Postproc_code/Vansjo/VAN1_data_2017_02_28_10_55.mat')
depths = [5;10;15;20;25;30;35;40];
rmsd_O2 = 0;
rsquared_O2 = 0;
for i=1:size(depths,1)
d = depths(i);
zinx=find(MyLake_results.basin1.z == d);
O2_measured = res.T(res.depth1 == d);
day_measured = res.date(res.depth1 == d);
day_measured = day_measured(~isnan(O2_measured));
O2_measured = O2_measured(~isnan(O2_measured));
O2_mod = MyLake_results.basin1.concentrations.O2(zinx,:)'/1000;
[T_date,loc_sim, loc_obs] = intersect(MyLake_results.basin1.days, day_measured);
rmsd_O2(i) = rmsd(O2_mod(loc_sim, 1), O2_measured(loc_obs, 1));
rsquared_O2(i) = rsquared(O2_mod(loc_sim, 1), O2_measured(loc_obs, 1));
% rmsd_O2 = rmsd_O2 + sqrt(mean((O2_mod(loc_sim, 1)-O2_measured(loc_obs, 1)).^2));
end
% P forms measured in water-column
zinx=find(MyLake_results.basin1.z<4);
TP_mod = mean((MyLake_results.basin1.concentrations.P(zinx,:)+MyLake_results.basin1.concentrations.PP(zinx,:) + MyLake_results.basin1.concentrations.DOP(zinx,:) + MyLake_results.basin1.concentrations.POP(zinx,:))', 2);
Chl_mod = mean((MyLake_results.basin1.concentrations.Chl(zinx,:)+MyLake_results.basin1.concentrations.C(zinx,:))', 2);
P_mod = mean((MyLake_results.basin1.concentrations.P(zinx,:))', 2);
POP_mod = mean((MyLake_results.basin1.concentrations.POP(zinx,:) + MyLake_results.basin1.concentrations.PP(zinx,:))', 2);
load 'obs/store_obs/TOTP.dat' % measured
% load 'obs/store_obs/Cha.dat' % measured
load 'obs/store_obs/Cha_aquaM_march_2017.dat' % measured
load 'obs/store_obs/PO4.dat' % measured
load 'obs/store_obs/Part.dat' % measured
[TP_date,loc_sim, loc_obs] = (intersect(MyLake_results.basin1.days, TOTP(:,1)));
rmsd_TOTP = rmsd(TP_mod(loc_sim, 1), TOTP(loc_obs, 2));
rsquared_TOTP = rsquared(TP_mod(loc_sim, 1), TOTP(loc_obs, 2));
[TP_date,loc_sim, loc_obs] = (intersect(MyLake_results.basin1.days, Cha_aquaM_march_2017(:,1)));
rmsd_Chl = rmsd(Chl_mod(loc_sim, 1), Cha_aquaM_march_2017(loc_obs, 2));
rsquared_Chl = rsquared(Chl_mod(loc_sim, 1), Cha_aquaM_march_2017(loc_obs, 2));
[TP_date,loc_sim, loc_obs] = (intersect(MyLake_results.basin1.days, PO4(:,1)));
rmsd_PO4 = rmsd(P_mod(loc_sim, 1), PO4(loc_obs, 2));
rsquared_PO4 = rsquared(P_mod(loc_sim, 1), PO4(loc_obs, 2));
[TP_date,loc_sim, loc_obs] = (intersect(MyLake_results.basin1.days, Part(:,1)));
rmsd_PP = rmsd(POP_mod(loc_sim, 1), Part(loc_obs, 2));
rsquared_PP = rsquared(POP_mod(loc_sim, 1), Part(loc_obs, 2));
% Sediment cores measured in October 2013
load 'obs/store_obs/P_HCl_sed.dat'
load 'obs/store_obs/P_Ca_sed.dat' %
load 'obs/store_obs/P_Org_sed.dat'
load 'obs/store_obs/P_Al_sed.dat'
load 'obs/store_obs/P_Fe_sed.dat' %
load 'obs/store_obs/P_H2O_sed.dat'
load 'obs/store_obs/S_sed.dat' %
load 'obs/store_obs/Fe2_sed.dat' %
load 'obs/store_obs/Ca_sed.dat' %
load 'obs/store_obs/Al3_sed.dat'
load 'obs/store_obs/PO4_sed.dat' %
sed_core_date = 735523; % =datenum('14-Oct-2013','dd-mmm-yyyy')
[~,idx_date_sed_cores,~] = intersect(MyLake_results.basin1.days, 735523);
idx_depthx_sed_cores = floor(PO4_sed(:,1)/Sediment_results.basin1.z(end)*(Sediment_results.basin1.params.n-1));
rmsd_PO4_sed = rmsd(30.973*Sediment_results.basin1.concentrations.PO4(idx_depthx_sed_cores,idx_date_sed_cores), PO4_sed(:,2)+P_H2O_sed(:,2));
rsquared_PO4_sed = rsquared(30.973*Sediment_results.basin1.concentrations.PO4(idx_depthx_sed_cores,idx_date_sed_cores), PO4_sed(:,2)+P_H2O_sed(:,2));
rmsd_Ca_sed = rmsd(40.0784*Sediment_results.basin1.concentrations.Ca2(idx_depthx_sed_cores,idx_date_sed_cores), Ca_sed(:,2));
rsquared_Ca_sed = rsquared(40.0784*Sediment_results.basin1.concentrations.Ca2(idx_depthx_sed_cores,idx_date_sed_cores), Ca_sed(:,2));
rmsd_Fe_sed = rmsd(55.8452*Sediment_results.basin1.concentrations.Fe2(idx_depthx_sed_cores,idx_date_sed_cores), Fe2_sed(:,2));
rsquared_Fe_sed = rsquared(55.8452*Sediment_results.basin1.concentrations.Fe2(idx_depthx_sed_cores,idx_date_sed_cores), Fe2_sed(:,2));
rmsd_S_sed = rmsd(32.0655*Sediment_results.basin1.concentrations.SO4(idx_depthx_sed_cores,idx_date_sed_cores), S_sed(:,2));
rsquared_S_sed = rsquared(32.0655*Sediment_results.basin1.concentrations.SO4(idx_depthx_sed_cores,idx_date_sed_cores), S_sed(:,2));
rmsd_P_Fe_sed = rmsd(...
30.973*Sediment_results.basin1.concentrations.PO4adsa(idx_depthx_sed_cores,idx_date_sed_cores) + ...
30.973*Sediment_results.basin1.concentrations.PO4adsb(idx_depthx_sed_cores,idx_date_sed_cores) + ...
2*30.973*Sediment_results.basin1.concentrations.Fe3PO42(idx_depthx_sed_cores,idx_date_sed_cores), ...
P_Fe_sed(:,2));
rsquared_P_Fe_sed = rsquared(...
30.973*Sediment_results.basin1.concentrations.PO4adsa(idx_depthx_sed_cores,idx_date_sed_cores) + ...
30.973*Sediment_results.basin1.concentrations.PO4adsb(idx_depthx_sed_cores,idx_date_sed_cores) + ...
2*30.973*Sediment_results.basin1.concentrations.Fe3PO42(idx_depthx_sed_cores,idx_date_sed_cores), ...
P_Fe_sed(:,2));
rmsd_P_Ca_sed = rmsd(2*30.973*Sediment_results.basin1.concentrations.Ca3PO42(idx_depthx_sed_cores,idx_date_sed_cores), P_Ca_sed(:,2));
rsquared_P_Ca_sed = rsquared(2*30.973*Sediment_results.basin1.concentrations.Ca3PO42(idx_depthx_sed_cores,idx_date_sed_cores), P_Ca_sed(:,2));
rmsd_POP_sed = rmsd(30.973*Sediment_results.basin1.params.Pz1*Sediment_results.basin1.concentrations.POP(idx_depthx_sed_cores,idx_date_sed_cores), P_Org_sed(:,2));
rsquared_POP_sed = rsquared(30.973*Sediment_results.basin1.params.Pz1*Sediment_results.basin1.concentrations.POP(idx_depthx_sed_cores,idx_date_sed_cores), P_Org_sed(:,2));
x'
% res = sum([3*rmsd_TOTP, 3*rmsd_Chl, 3*rmsd_PO4, 3*rmsd_PP, rmsd_O2])
% res = sum([- (rsquared_TOTP - 1), - (rsquared_Chl - 1), - (rsquared_PO4 - 1), - (rsquared_PP - 1), mean(- (rsquared_O2 + 1))])
k_chl = 3;
res = sum([- (rsquared_TOTP - 1) .* rmsd_TOTP, - (rsquared_Chl - 1) .* rmsd_Chl * k_chl, - (rsquared_PO4 - 1) .* rmsd_PO4, - (rsquared_PP - 1) .* rmsd_PP, mean(- (rsquared_O2 - 1) .* rmsd_O2), - (rsquared_PO4_sed - 1) .* rmsd_PO4_sed, - (rsquared_Ca_sed - 1) .* rmsd_Ca_sed, - (rsquared_Fe_sed - 1) .* rmsd_Fe_sed, - (rsquared_S_sed - 1) .* rmsd_S_sed, - (rsquared_P_Fe_sed - 1) .* rmsd_P_Fe_sed, - (rsquared_P_Ca_sed - 1) .* rmsd_P_Ca_sed, - (rsquared_POP_sed - 1) .* rmsd_POP_sed])
catch ME
fprintf('\tID: %s\n', ME.identifier)
fprintf('\tMessage: %s\n', ME.message)
fprintf('\tStack::\n')
for k=1:length(ME.stack)
disp(ME.stack(k))
end
res = NaN
end
function [c,ceq] = nonlcon(x)
c = -x;
ceq = [];