forked from parrenin/IceChrono
-
Notifications
You must be signed in to change notification settings - Fork 0
/
IceChronoModule.py
631 lines (521 loc) · 30.7 KB
/
IceChronoModule.py
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
#TODO: extend the chronology down to the bedrock by extrapolating the accumulation
#TODO: optinally use a restart file to have a bootstrap method
#TODO: is there an elegant way to unpack the variables vector in the model function?
#TODO: allow to save the correction vector to be able to restart while changing the resolution
import operator
import math as m
import numpy as np
import matplotlib.pyplot as mpl
import warnings
from matplotlib.backends.backend_pdf import PdfPages
from scipy import interpolate
from scipy.optimize import leastsq
from os import chdir
color_init='c'
color_obs='g'
color_opt='k'
color_mod='b'
color_ci='0.8'
color_sigma='m'
show_initial=True
class Drilling:
def __init__(self, dlabel):
print 'Initialization of drilling '+dlabel
self.label=dlabel
execfile(dlabel+'/parameters.py')
if self.calc_a:
readarray=np.loadtxt(dlabel+'/isotopes.txt')
self.depthtop=readarray[:,0]
self.d18Oice=readarray[:,1]
self.deutice=readarray[:,2]
self.d18Osw=readarray[:,3]
self.excess=self.deutice-8*self.d18Oice # dans Uemura : d=excess
self.a=np.empty_like(self.deutice)
self.d18Oice_corr=self.d18Oice-self.d18Osw*(1+self.d18Oice/1000)/(1+self.d18Osw/1000) #Uemura (1)
self.deutice_corr=self.deutice-8*self.d18Osw*(1+self.deutice/1000)/(1+8*self.d18Osw/1000) #Uemura et al. (CP, 2012) (2)
self.excess_corr=self.deutice_corr-8*self.d18Oice_corr
self.deutice_fullcorr=self.deutice_corr+self.gamma_source/self.beta_source*self.excess_corr
else:
self.a_model=np.loadtxt(dlabel+'/accu-prior.txt')
self.a=self.a_model
self.corr_a_age=np.arange(self.age_min, self.age_max+0.1, (self.age_max-self.age_min)/(np.size(self.corr_a)-1))
self.correlation_corr_a=np.empty((np.size(self.corr_a),np.size(self.corr_a)))
f=interpolate.interp1d(np.array([0,self.lambda_a,10000000]),np.array([1, 0, 0]))
self.correlation_corr_a=f(np.abs(np.ones((np.size(self.corr_a_age),np.size(self.corr_a_age)))*self.corr_a_age-np.transpose(np.ones((np.size(self.corr_a_age),np.size(self.corr_a_age)))*self.corr_a_age)))
self.chol_a=np.linalg.cholesky(self.correlation_corr_a)
with warnings.catch_warnings():
warnings.simplefilter("ignore")
readarray=np.loadtxt(dlabel+'/ice_age.txt')
if np.size(readarray)==0:
self.icemarkers_depth=np.array([])
self.icemarkers_age=np.array([])
self.icemarkers_sigma=np.array([])
else:
self.icemarkers_depth=readarray[:,0]
self.icemarkers_age=readarray[:,1]
self.icemarkers_sigma=readarray[:,2]
with warnings.catch_warnings():
warnings.simplefilter("ignore")
readarray=np.loadtxt(dlabel+'/gas_age.txt')
if np.size(readarray)==0:
self.gasmarkers_depth=np.array([])
self.gasmarkers_age=np.array([])
self.gasmarkers_sigma=np.array([])
else:
self.gasmarkers_depth=readarray[:,0]
self.gasmarkers_age=readarray[:,1]
self.gasmarkers_sigma=readarray[:,2]
self.depth=np.arange(self.depth_min, self.depth_max+0.01, self.step)
self.age=np.empty_like(self.depth)
self.gage=np.empty_like(self.depth)
readarray=np.loadtxt(dlabel+'/density-prior.txt')
# self.density_depth=readarray[:,0]
self.D=readarray
self.iedepth=self.step*np.cumsum(np.concatenate((np.array([0]), self.D)))
self.thickness_ie=self.thickness-self.depth[-1]+self.iedepth[-1]
if self.calc_LID:
self.LID_depth=np.array([self.depth_min, self.depth_max])
self.LID_LID=np.array([self.LID_value, self.LID_value])
f=interpolate.interp1d(self.LID_depth, self.LID_LID, bounds_error=False, fill_value=self.LID_LID[-1])
self.LID=f(self.depth)
self.LIDIE=np.empty_like(self.LID)
self.corr_LIDIE=np.zeros(np.size(self.corr_LIDIE))
self.corr_LIDIE_age=np.arange(self.age_min,self.age_max+0.1, (self.age_max-self.age_min)/(np.size(self.corr_LIDIE)-1))
self.correlation_corr_LIDIE=np.empty((np.size(self.corr_LIDIE),np.size(self.corr_LIDIE)))
f=interpolate.interp1d(np.array([0,self.lambda_LIDIE,10000000]),np.array([1, 0, 0]))
self.correlation_corr_LIDIE=f(np.abs(np.ones((np.size(self.corr_LIDIE_age),np.size(self.corr_LIDIE_age)))*self.corr_LIDIE_age-np.transpose(np.ones((np.size(self.corr_LIDIE_age),np.size(self.corr_LIDIE_age)))*self.corr_LIDIE_age)))
self.chol_LIDIE=np.linalg.cholesky(self.correlation_corr_LIDIE)
readarray=np.loadtxt(dlabel+'/udepth.txt')
self.thicknes_ie_init=readarray[0]
self.udepth_init=readarray[1:]
self.depth_mid=np.arange(self.depth_min+self.step/2, self.depth_max, self.step)
# print 'depth_mid ', np.size(self.depth_mid)
self.zeta=(self.thickness-self.depth_mid)/self.thickness
# print 'zeta ', np.size(self.zeta)
if self.calc_tau:
self.tau=np.empty_like(self.depth_mid)
else:
self.tau_model=np.loadtxt(dlabel+'/thinning-prior.txt')
self.tau=self.tau_model
self.corr_tau_depth=np.arange(self.depth_min, self.depth_max+0.01, (self.depth_max-self.depth_min)/(np.size(self.corr_tau)-1))
self.corr_tau=np.zeros(np.size(self.corr_tau))
# print 'depth ', np.size(self.depth)
# print 'udepth_init ', np.size(self.udepth_init)
f=interpolate.interp1d(self.depth,self.udepth_init)
# f=interpolate.interp1d(self.depth,self.udepth_init, bounds_error=False, fill_value=self.udepth_init[-1]) #We should not need the bounds_error option. Check what is the problem.
self.sigmap_corr_tau=self.k/self.thicknes_ie_init*f(self.corr_tau_depth)
correlation_corr_tau=np.empty((np.size(self.corr_tau),np.size(self.corr_tau)))
g=interpolate.interp1d(np.array([0,self.lambda_tau,5000]),np.array([1, 0, 0]))
correlation_corr_tau=g(np.abs(np.ones((np.size(self.corr_tau_depth),np.size(self.corr_tau_depth)))*self.corr_tau_depth-np.transpose(np.ones((np.size(self.corr_tau_depth),np.size(self.corr_tau_depth)))*self.corr_tau_depth)))
self.chol_tau=np.linalg.cholesky(correlation_corr_tau)
with warnings.catch_warnings():
warnings.simplefilter("ignore")
readarray=np.loadtxt(dlabel+'/Ddepth.txt')
if np.size(readarray)==0:
self.Ddepth_depth=np.array([])
self.Ddepth_Ddepth=np.array([])
self.Ddepth_sigma=np.array([])
else:
self.Ddepth_depth=readarray[:,0]
self.Ddepth_Ddepth=readarray[:,1]
self.Ddepth_sigma=readarray[:,2]
self.Ddepth=np.empty_like(self.depth)
self.udepth=np.empty_like(self.depth)
# chdir('../')
self.variables=np.array([])
if self.calc_a==True:
self.variables=np.concatenate((self.variables, np.array([self.A0]), np.array([self.beta])))
if self.calc_tau==True:
# self.variables=np.concatenate((self.variables, np.array([self.pprime]), np.array([self.s]), np.array([self.mu])))
self.variables=np.concatenate((self.variables, np.array([self.pprime]), np.array([self.mu])))
self.variables=np.concatenate((self.variables, self.corr_tau, self.corr_a, self.corr_LIDIE))
# self.variables=np.concatenate((np.array([self.A0, self.beta, self.pprime, self.s, self.mu]), self.corr_tau, self.corr_a, self.corr_LIDIE))
if self.restart:
self.variables=np.loadtxt(dlabel+'/restart.txt')
def model(self, variables):
index=0
if self.calc_a==True:
self.A0=variables[index]
self.beta=variables[index+1]
index=index+2
if self.calc_tau==True:
# self.p=-1+m.exp(variables[index])
# self.s=variables[index+1]
# self.mu=variables[index+2]
# index=index+3
self.p=-1+m.exp(variables[index])
self.mu=variables[index+1]
index=index+2
self.corr_tau=variables[index:index+np.size(self.corr_tau)]
self.corr_a=variables[index+np.size(self.corr_tau):index+np.size(self.corr_tau)+np.size(self.corr_a)]
self.corr_LIDIE=variables[index+np.size(self.corr_tau)+np.size(self.corr_a):index+np.size(self.corr_tau)+np.size(self.corr_a)+np.size(self.corr_LIDIE)]
##Raw model
#Accumulation
if self.calc_a:
self.a_model=self.A0*np.exp(self.beta*(self.deutice_fullcorr-self.deutice_fullcorr[0])) #Parrenin et al. (CP, 2007a) 2.3 (6)
#Thinning
if self.calc_tau:
omega_D=1-(self.p+2)/(self.p+1)*(1-self.zeta)+1/(self.p+1)*(1-self.zeta)**(self.p+2) #Parrenin et al. (CP, 2007a) 2.2 (3)
omega=self.s*self.zeta+(1-self.s)*omega_D #Parrenin et al. (CP, 2007a) 2.2 (2)
self.tau_model=(1-self.mu)*omega+self.mu
#udepth
#print 'D ',np.size(self.D)
#print 'tau_model ',np.size(tau_model)
# if np.size(self.D)==np.size(tau_model):
# udepth_model=self.step*np.cumsum(self.D/tau_model)
# else:
self.udepth_model=self.step*np.cumsum(np.concatenate((np.array([0]), self.D/self.tau_model)))
#print 'udepth_model ', np.size(udepth_model)
g_model=interpolate.interp1d(self.iedepth, self.udepth_model)
self.LIDIE_model=self.LID*self.Dfirn
self.ULIDIE_model=g_model(self.LIDIE_model)
i_model=interpolate.interp1d(self.udepth_model, self.depth)
#Ice age
#print 'a_model',np.size(a_model)
# if np.size(self.D)==np.size(tau_model) && np.size(tau_model)==np.size(a_model):
# age_model=self.step*np.cumsum(self.D/tau_model/a_model)
#else:
self.age_model=self.age_min+self.step*np.cumsum(np.concatenate((np.array([0]), self.D/self.tau_model/self.a_model)))
f_model=interpolate.interp1d(self.depth, self.age_model, bounds_error=False, fill_value=np.nan)
#gas age
self.ice_equiv_depth_model=i_model(np.where(self.udepth_model-self.ULIDIE_model>0, self.udepth_model-self.ULIDIE_model, 0.)) #FIXME: we assume surface is at depth=0. We might define a depth_surf in the future.
self.Ddepth_model=self.depth-self.ice_equiv_depth_model
self.gage_model=f_model(self.ice_equiv_depth_model)
##Corrected model
#Accu
j=interpolate.interp1d(self.corr_a_age, np.dot(self.chol_a,self.corr_a)*self.sigmap_corr_a, bounds_error=False, fill_value=self.corr_a[-1])
self.a=self.a_model*np.exp(j(self.age_model[:-1])) #fixme: we should use mid-age and not age
#Thinning
h=interpolate.interp1d(self.corr_tau_depth, np.dot(self.chol_tau,self.corr_tau)*self.sigmap_corr_tau)
self.tau=self.tau_model*np.exp(h(self.depth_mid))
self.udepth=self.step*np.cumsum(np.concatenate((np.array([0]), self.D/self.tau)))
g=interpolate.interp1d(self.iedepth, self.udepth)
j=interpolate.interp1d(self.corr_LIDIE_age, np.dot(self.chol_LIDIE,self.corr_LIDIE)*self.sigmap_corr_LIDIE, bounds_error=False, fill_value=self.corr_LIDIE[-1])
self.LIDIE=self.LIDIE_model*np.exp(j(self.age_model))
self.ULIDIE=g(self.LIDIE)
i=interpolate.interp1d(self.udepth, self.depth)
#Ice age
self.age=self.age_min+self.step*np.cumsum(np.concatenate((np.array([0]), self.D/self.tau/self.a)))
f=interpolate.interp1d(self.depth,self.age, bounds_error=False, fill_value=np.nan)
self.ice_equiv_depth=i(np.where(self.udepth-self.LIDIE>0, self.udepth-self.LIDIE, 0.))
self.Ddepth=self.depth-self.ice_equiv_depth
self.gage=f(self.ice_equiv_depth)
return np.concatenate((self.age,self.gage,self.Ddepth,self.a,self.tau,self.LIDIE))
def fct_age(self, depth):
f=interpolate.interp1d(self.depth,self.age)
return f(depth)
def fct_age_model(self, depth):
f=interpolate.interp1d(self.depth,self.age_model)
return f(depth)
def fct_gage(self, depth):
f=interpolate.interp1d(self.depth,self.gage)
return f(depth)
def fct_gage_model(self, depth):
f=interpolate.interp1d(self.depth,self.gage_model)
return f(depth)
def fct_Ddepth(self, depth):
f=interpolate.interp1d(self.depth,self.Ddepth)
return f(depth)
def residuals(self, variables):
self.model(variables)
resi_age=(self.fct_age(self.icemarkers_depth)-self.icemarkers_age)/self.icemarkers_sigma
resi_gage=(self.fct_gage(self.gasmarkers_depth)-self.gasmarkers_age)/self.gasmarkers_sigma
resi_Ddepth=(self.fct_Ddepth(self.Ddepth_depth)-self.Ddepth_Ddepth)/self.Ddepth_sigma
resi_corr_tau=self.corr_tau
resi_corr_a=self.corr_a
resi_corr_LIDIE=self.corr_LIDIE
return np.concatenate((resi_age,resi_gage, resi_Ddepth, resi_corr_tau, resi_corr_a, resi_corr_LIDIE))
def jacobian(self):
epsilon=np.sqrt(np.diag(self.hess))/100000000.
model0=self.model(self.variables)
jacob=np.empty((np.size(self.variables), np.size(model0)))
for i in np.arange(np.size(self.variables)):
var=self.variables+0
var[i]=var[i]+epsilon[i]
model1=self.model(var)
jacob[i]=(model1-model0)/epsilon[i]
model0=self.model(self.variables)
return jacob
def optimisation(self) :
self.variables,self.hess,self.infodict,mesg,ier=leastsq(self.residuals, self.variables, full_output=1)
print self.variables
print self.hess
return self.variables, self.hess
def sigma(self):
jacob=self.jacobian()
index=0
c_model=np.dot(np.transpose(jacob[:,index:index+np.size(self.age)]),np.dot(self.hess,jacob[:,index:index+np.size(self.age)]))
self.sigma_age=np.sqrt(np.diag(c_model))
index=index+np.size(self.age)
c_model=np.dot(np.transpose(jacob[:,index:index+np.size(self.gage)]),np.dot(self.hess,jacob[:,index:index+np.size(self.gage)]))
self.sigma_gage=np.sqrt(np.diag(c_model))
index=index+np.size(self.gage)
c_model=np.dot(np.transpose(jacob[:,index:index+np.size(self.Ddepth)]),np.dot(self.hess,jacob[:,index:index+np.size(self.Ddepth)]))
self.sigma_Ddepth=np.sqrt(np.diag(c_model))
index=index+np.size(self.Ddepth)
c_model=np.dot(np.transpose(jacob[:,index:index+np.size(self.a)]),np.dot(self.hess,jacob[:,index:index+np.size(self.a)]))
self.sigma_a=np.sqrt(np.diag(c_model))
index=index+np.size(self.a)
c_model=np.dot(np.transpose(jacob[:,index:index+np.size(self.tau)]),np.dot(self.hess,jacob[:,index:index+np.size(self.tau)]))
self.sigma_tau=np.sqrt(np.diag(c_model))
index=index+np.size(self.tau)
c_model=np.dot(np.transpose(jacob[:,index:index+np.size(self.LIDIE)]),np.dot(self.hess,jacob[:,index:index+np.size(self.LIDIE)]))
self.sigma_LIDIE=np.sqrt(np.diag(c_model))
index=index+np.size(self.LIDIE)
return self.sigma_age, self.sigma_gage, self.sigma_Ddepth, self.sigma_a, self.sigma_tau, self.sigma_LIDIE
def display_init(self):
self.color_init='c'
self.color_obs='g'
self.color_opt='k'
self.color_mod='b'
self.color_ci='0.8'
self.color_sigma='m'
mpl.figure(self.label+' thinning')
mpl.title(self.label+' thinning')
mpl.xlabel('Thinning')
mpl.ylabel('Depth')
if show_initial:
mpl.plot(self.tau, self.depth_mid, color=self.color_init, label='Initial')
# mpl.ylim(mpl.ylim()[::-1])
mpl.figure(self.label+' accumulation')
mpl.title(self.label+' accumulation')
mpl.xlabel('Optimized age (yr)')
mpl.ylabel('Accumulation (m/an)')
mpl.figure(self.label+' LIDIE')
mpl.title(self.label+' LIDIE')
mpl.xlabel('Optimized age (yr)')
mpl.ylabel('LIDIE')
mpl.figure(self.label+' ice age')
mpl.title(self.label+' ice age')
mpl.xlabel('age (yr b1950)')
mpl.ylabel('depth (m)')
if show_initial:
mpl.plot(self.age, self.depth, color=self.color_init, label='Initial')
mpl.errorbar(self.icemarkers_age, self.icemarkers_depth, color=self.color_obs, xerr=self.icemarkers_sigma, linestyle='', marker='o', markersize=2, label="observations")
# mpl.ylim(mpl.ylim()[::-1])
mpl.figure(self.label+' gas age')
mpl.title(self.label+' gas age')
mpl.xlabel('age (yr b1950)')
mpl.ylabel('depth (m)')
if show_initial:
mpl.plot(self.gage, self.depth, color=self.color_init, label='Initial')
mpl.errorbar(self.gasmarkers_age, self.gasmarkers_depth, color=self.color_obs, xerr=self.gasmarkers_sigma, linestyle='', marker='o', markersize=2, label="observations")
# mpl.ylim(mpl.ylim()[::-1])
mpl.figure(self.label+' Ddepth')
mpl.title(self.label+' $\Delta$depth')
mpl.xlabel('$\Delta$depth (m)')
mpl.ylabel('depth (m)')
if show_initial:
mpl.plot(self.Ddepth, self.depth, color=self.color_init, label='Initial')
mpl.errorbar(self.Ddepth_Ddepth, self.Ddepth_depth, color=self.color_obs, xerr=self.Ddepth_sigma, linestyle='', marker='o', markersize=2, label="observations")
# mpl.ylim(mpl.ylim()[::-1])
def display_final(self):
mpl.figure(self.label+' thinning')
mpl.plot(self.tau, self.depth_mid, color=self.color_opt, label='Corrected +/-$\sigma$')
mpl.plot(self.tau_model, self.depth_mid, color=self.color_mod, label='Model')
mpl.fill_betweenx(self.depth_mid, self.tau-self.sigma_tau, self.tau+self.sigma_tau, color=self.color_ci)
# mpl.plot(self.tau+self.sigma_tau, self.depth_mid, color='k', linestyle='-', label='+/- 1 sigma')
# mpl.plot(self.tau-self.sigma_tau, self.depth_mid, color='k', linestyle='-')
x1,x2,y1,y2 = mpl.axis()
mpl.axis((x1,x2,self.depth_min,self.depth_max))
mpl.legend(loc=4)
mpl.ylim(mpl.ylim()[::-1])
pp=PdfPages(self.label+'/thinning.pdf')
pp.savefig(mpl.figure(self.label+' thinning'))
pp.close()
mpl.figure(self.label+' accumulation')
if show_initial:
mpl.step(self.age, np.concatenate((self.a_init, np.array([self.a_init[-1]]))), color=self.color_init, where='post', label='Initial')
mpl.step(self.age, np.concatenate((self.a_model, np.array([self.a_model[-1]]))), color=self.color_mod, where='post', label='Model')
mpl.step(self.age, np.concatenate((self.a, np.array([self.a[-1]]))), color=self.color_opt, where='post', label='Corrected +/-$\sigma$')
mpl.fill_between(self.age[:-1], self.a-self.sigma_a, self.a+self.sigma_a, color=self.color_ci)
x1,x2,y1,y2 = mpl.axis()
mpl.axis((self.age_min,x2,y1,y2))
mpl.legend()
pp=PdfPages(self.label+'/accumulation.pdf')
pp.savefig(mpl.figure(self.label+' accumulation'))
pp.close()
mpl.figure(self.label+' LIDIE')
mpl.step(self.age, self.LIDIE_model, color=self.color_mod,where='post', label='Model')
mpl.step(self.age, self.LIDIE, color=self.color_opt, where='post', label='Corrected +/-$\sigma$')
mpl.fill_between(self.age, self.LIDIE-self.sigma_LIDIE, self.LIDIE+self.sigma_LIDIE, color=self.color_ci)
x1,x2,y1,y2 = mpl.axis()
mpl.axis((self.age_min,x2,y1,y2))
mpl.legend()
pp=PdfPages(self.label+'/LIDIE.pdf')
pp.savefig(mpl.figure(self.label+' LIDIE'))
pp.close()
mpl.figure(self.label+' ice age')
mpl.plot(self.age, self.depth, color=self.color_opt, label='Corrected +/-$\sigma$')
mpl.plot(self.age_model, self.depth, color=self.color_mod, label='Model')
mpl.fill_betweenx(self.depth, self.age-self.sigma_age, self.age+self.sigma_age , color=self.color_ci)
# mpl.plot(self.age-self.sigma_age, self.depth, color='k', linestyle='-')
mpl.plot(self.sigma_age*10, self.depth, color=self.color_sigma, label='$\sigma$ x10')
x1,x2,y1,y2 = mpl.axis()
mpl.axis((x1,x2,self.depth_min,self.depth_max))
mpl.legend()
x1,x2,y1,y2 = mpl.axis()
mpl.axis((self.age_min,x2,y2,y1))
pp=PdfPages(self.label+'/ice_age.pdf')
pp.savefig(mpl.figure(self.label+' ice age'))
pp.close()
mpl.figure(self.label+' gas age')
mpl.plot(self.gage, self.depth, color=self.color_opt, label='Corrected +/-$\sigma$')
mpl.plot(self.gage_model, self.depth, color=self.color_mod, label='Model')
mpl.fill_betweenx(self.depth, self.gage-self.sigma_gage, self.gage+self.sigma_gage , color=self.color_ci)
# mpl.plot(self.gage+self.sigma_gage, self.depth, color='k', linestyle='-', label='+/- 1 sigma')
# mpl.plot(self.gage-self.sigma_gage, self.depth, color='k', linestyle='-')
mpl.plot(self.sigma_gage*10, self.depth, color=self.color_sigma, label='$\sigma$ x10')
x1,x2,y1,y2 = mpl.axis()
mpl.axis((x1,x2,self.depth_min,self.depth_max))
mpl.legend()
x1,x2,y1,y2 = mpl.axis()
mpl.axis((self.age_min,x2,y2,y1))
pp=PdfPages(self.label+'/gas_age.pdf')
pp.savefig(mpl.figure(self.label+' gas age'))
pp.close()
mpl.figure(self.label+' Ddepth')
mpl.plot(self.Ddepth_model, self.depth, color=self.color_mod, label='Model')
mpl.plot(self.Ddepth, self.depth, color=self.color_opt, label='Corrected +/-$\sigma$')
mpl.fill_betweenx(self.depth, self.Ddepth-self.sigma_Ddepth, self.Ddepth+self.sigma_Ddepth, color=self.color_ci)
# mpl.plot(self.Ddepth+self.sigma_Ddepth, self.depth, color='k', linestyle='-', label='+/- 1 sigma')
# mpl.plot(self.Ddepth-self.sigma_Ddepth, self.depth, color='k', linestyle='-')
x1,x2,y1,y2 = mpl.axis()
mpl.axis((x1,x2,self.depth_min,self.depth_max))
mpl.legend(loc=4)
mpl.ylim(mpl.ylim()[::-1])
pp=PdfPages(self.label+'/Ddepth.pdf')
pp.savefig(mpl.figure(self.label+' Ddepth'))
pp.close()
def save(self):
output=np.vstack((self.depth,np.concatenate((self.tau,np.array([self.tau[-1]]))),np.concatenate((self.sigma_tau,np.array([self.sigma_tau[-1]]))),\
np.concatenate((self.a,np.array([self.a[-1]]))),np.concatenate((self.sigma_a,np.array([self.sigma_a[-1]]))),self.LIDIE,\
self.sigma_LIDIE,self.age,self.sigma_age,self.gage,self.sigma_gage,self.Ddepth,self.sigma_Ddepth))
np.savetxt(self.label+'/output.txt',np.transpose(output), header='depth thinning sigma_thinning accu sigma_accu LIDIE sigma_LIDIE age sigma_age gas_age sigma_gas_age Ddepth sigma_Ddepth')
np.savetxt(self.label+'/restart.txt',np.transpose(self.variables))
def udepth_save(self):
np.savetxt(self.label+'/udepth.txt',np.concatenate((np.array([self.thickness_ie]),self.udepth)))
return
class DrillingCouple:
def __init__(self, D1, D2):
self.D1=D1
self.D2=D2
self.label=self.D1.label+'-'+self.D2.label
print 'Initialization of drilling couple ',self.label
#TODO: allow to have either dlabel1+'-'dlabel2 or dlbel2+'-'dlabel1 as directory
with warnings.catch_warnings():
warnings.simplefilter("ignore")
readarray=np.loadtxt(self.D1.label+'-'+self.D2.label+'/ice_depth.txt')
if np.size(readarray)==0:
self.icemarkers_depth1=np.array([])
self.icemarkers_depth2=np.array([])
self.icemarkers_sigma=np.array([])
else:
self.icemarkers_depth1=readarray[:,0]
self.icemarkers_depth2=readarray[:,1]
self.icemarkers_sigma=readarray[:,2]
with warnings.catch_warnings():
warnings.simplefilter("ignore")
readarray=np.loadtxt(self.D1.label+'-'+self.D2.label+'/gas_depth.txt')
if np.size(readarray)==0:
self.gasmarkers_depth1=np.array([])
self.gasmarkers_depth2=np.array([])
self.gasmarkers_sigma=np.array([])
else:
self.gasmarkers_depth1=readarray[:,0]
self.gasmarkers_depth2=readarray[:,1]
self.gasmarkers_sigma=readarray[:,2]
with warnings.catch_warnings():
warnings.simplefilter("ignore")
readarray=np.loadtxt(self.D1.label+'-'+self.D2.label+'/icegas_depth.txt')
if np.size(readarray)==0:
self.icegasmarkers_depth1=np.array([])
self.icegasmarkers_depth2=np.array([])
self.icegasmarkers_sigma=np.array([])
else:
self.icegasmarkers_depth1=readarray[:,0]
self.icegasmarkers_depth2=readarray[:,1]
self.icegasmarkers_sigma=readarray[:,2]
with warnings.catch_warnings():
warnings.simplefilter("ignore")
readarray=np.loadtxt(self.D1.label+'-'+self.D2.label+'/gasice_depth.txt')
if np.size(readarray)==0:
self.gasicemarkers_depth1=np.array([])
self.gasicemarkers_depth2=np.array([])
self.gasicemarkers_sigma=np.array([])
else:
self.gasicemarkers_depth1=readarray[:,0]
self.gasicemarkers_depth2=readarray[:,1]
self.gasicemarkers_sigma=readarray[:,2]
def residuals(self):
resi_ice=(self.D1.fct_age(self.icemarkers_depth1)-self.D2.fct_age(self.icemarkers_depth2))/self.icemarkers_sigma
resi_gas=(self.D1.fct_gage(self.gasmarkers_depth1)-self.D2.fct_gage(self.gasmarkers_depth2))/self.gasmarkers_sigma
resi_icegas=(self.D1.fct_age(self.icegasmarkers_depth1)-self.D2.fct_gage(self.icegasmarkers_depth2))/self.icegasmarkers_sigma
resi_gasice=(self.D1.fct_gage(self.gasicemarkers_depth1)-self.D2.fct_age(self.gasicemarkers_depth2))/self.gasicemarkers_sigma
resi=np.concatenate((resi_ice,resi_gas,resi_icegas,resi_gasice))
return resi
def display_init(self):
mpl.figure(self.label+' ice-ice')
range=np.array([max(self.D1.age_min,self.D2.age_min), min(self.D1.age_max,self.D2.age_max)])
mpl.xlabel(self.D1.label+' ice age')
mpl.ylabel(self.D2.label+' ice age')
mpl.plot(range,range, color=color_obs, label='perfect agreement')
if show_initial:
mpl.errorbar(self.D1.fct_age(self.icemarkers_depth1),self.D2.fct_age(self.icemarkers_depth2), color=color_init, xerr=self.icemarkers_sigma, linestyle='', marker='o', markersize=2, label="Initial")
mpl.figure(self.label+' gas-gas')
range=np.array([max(self.D1.age_min,self.D2.age_min), min(self.D1.age_max,self.D2.age_max)])
mpl.xlabel(self.D1.label+' gas age')
mpl.ylabel(self.D2.label+' gas age')
mpl.plot(range,range, color=color_obs, label='perfect agreement')
if show_initial:
mpl.errorbar(self.D1.fct_gage(self.gasmarkers_depth1),self.D2.fct_gage(self.gasmarkers_depth2), color=color_init, xerr=self.gasmarkers_sigma, linestyle='', marker='o', markersize=2, label="Initial")
mpl.figure(self.label+' ice-gas')
range=np.array([max(self.D1.age_min,self.D2.age_min), min(self.D1.age_max,self.D2.age_max)])
mpl.xlabel(self.D1.label+' ice age')
mpl.ylabel(self.D2.label+' gas age')
mpl.plot(range,range, color=color_obs, label='perfect agreement')
if show_initial:
mpl.errorbar(self.D1.fct_age(self.icegasmarkers_depth1),self.D2.fct_gage(self.icegasmarkers_depth2), color=color_init, xerr=self.icegasmarkers_sigma, linestyle='', marker='o', markersize=2, label="Initial")
mpl.figure(self.label+' gas-ice')
range=np.array([max(self.D1.age_min,self.D2.age_min), min(self.D1.age_max,self.D2.age_max)])
mpl.xlabel(self.D1.label+' gas age')
mpl.ylabel(self.D2.label+' ice age')
mpl.plot(range,range, color=color_obs, label='perfect agreement')
if show_initial:
mpl.errorbar(self.D1.fct_gage(self.gasicemarkers_depth1),self.D2.fct_age(self.gasicemarkers_depth2), color=color_init, xerr=self.gasicemarkers_sigma, linestyle='', marker='o', markersize=2, label="Initial")
return
def display_final(self):
mpl.figure(self.label+' ice-ice')
mpl.errorbar(self.D1.fct_age_model(self.icemarkers_depth1),self.D2.fct_age_model(self.icemarkers_depth2), color=color_mod, xerr=self.icemarkers_sigma, linestyle='', marker='o', markersize=2, label="Model")
mpl.errorbar(self.D1.fct_age(self.icemarkers_depth1),self.D2.fct_age(self.icemarkers_depth2), color=color_opt, xerr=self.icemarkers_sigma, linestyle='', marker='o', markersize=2, label="Optimized")
x1,x2,y1,y2 = mpl.axis()
mpl.axis((self.D1.age_min,x2,self.D2.age_min,y2))
mpl.legend()
pp=PdfPages(self.label+'/ice-ice.pdf')
pp.savefig(mpl.figure(self.label+' ice-ice'))
pp.close()
mpl.figure(self.label+' gas-gas')
mpl.errorbar(self.D1.fct_gage_model(self.gasmarkers_depth1),self.D2.fct_gage_model(self.gasmarkers_depth2), color=color_mod, xerr=self.gasmarkers_sigma, linestyle='', marker='o', markersize=2, label="Model")
mpl.errorbar(self.D1.fct_gage(self.gasmarkers_depth1),self.D2.fct_gage(self.gasmarkers_depth2), color=color_opt, xerr=self.gasmarkers_sigma, linestyle='', marker='o', markersize=2, label="Optimized")
mpl.axis((self.D1.age_min,x2,self.D2.age_min,y2))
mpl.legend()
pp=PdfPages(self.label+'/gas-gas.pdf')
pp.savefig(mpl.figure(self.label+' gas-gas'))
pp.close()
mpl.figure(self.label+' ice-gas')
mpl.errorbar(self.D1.fct_age_model(self.icegasmarkers_depth1),self.D2.fct_gage_model(self.icegasmarkers_depth2), color=color_mod, xerr=self.icegasmarkers_sigma, linestyle='', marker='o', markersize=2, label="Model")
mpl.errorbar(self.D1.fct_age(self.icegasmarkers_depth1),self.D2.fct_gage(self.icegasmarkers_depth2), color=color_opt, xerr=self.icegasmarkers_sigma, linestyle='', marker='o', markersize=2, label="Optimized")
mpl.axis((self.D1.age_min,x2,self.D2.age_min,y2))
mpl.legend()
pp=PdfPages(self.label+'/ice-gas.pdf')
pp.savefig(mpl.figure(self.label+' ice-gas'))
pp.close()
mpl.figure(self.label+' gas-ice')
mpl.errorbar(self.D1.fct_gage_model(self.gasicemarkers_depth1),self.D2.fct_age_model(self.gasicemarkers_depth2), color=color_mod, xerr=self.gasicemarkers_sigma, linestyle='', marker='o', markersize=2, label="Model")
mpl.errorbar(self.D1.fct_gage(self.gasicemarkers_depth1),self.D2.fct_age(self.gasicemarkers_depth2), color=color_opt, xerr=self.gasicemarkers_sigma, linestyle='', marker='o', markersize=2, label="Optimized")
mpl.axis((self.D1.age_min,x2,self.D2.age_min,y2))
mpl.legend()
pp=PdfPages(self.label+'/gas-ice.pdf')
pp.savefig(mpl.figure(self.label+' gas-ice'))
pp.close()
return