Download - Dr. Yiqi Luo Botany and microbiology department University of Oklahoma, USA

Parameter identifiability, constraints, and equifinality in data assimilation with ecosystem modelsDr. Yiqi LuoBotany and microbiology departmentUniversity of Oklahoma, USALand surface models and FluxNET dataEdinburgh, 4-6 June 2008 (Luo et al. Ecol Appl. In press)

Observed DataPrior knowledgePosterior distributionParameter identifiability Inverse modelConstrainedEdge-hittingEquifinality

Wang et al. (2001) ------ a maximum of 3 or 4 parameters can be determined.

Braswell et al. (2005) ------ 13 out of 23 parameters were well-constrained.

Xu et al. (2006) ------ 4 or 3 out of 7 parameters can be constrained, respectively under ambient and elevated CO2.Identiable parameters

Three methods to examine parameter identifiabilitySearch methodModel structureData variability

Eddy flux data

CO2 fluxH2O fluxWind speedTemperaturePARRelative humidity

Hourly or half-hourly

Eddy flux technology

ModelLeaf-level PhotosynthesisSub-modelCanopy-level PhotosynthesisSub-modelSystem-level C balanceSub-model

Table 1 Parameters information

Develop prior distribution

Apply Metropolis-Hasting algorithm

a) generate candidate p from sample spaceb) input to model and calculate cost functionc) select according to decision criteriond) repeat

Construct posterior distributionBayesian inversion

Conditional Bayesian inversionBayesian inversionBayesian inversionBayesian inversion

Fig. 2 Decrease of cost function with each step of conditional inversion

ConclusionsConditional inversion can substantially increase the number of constrained parameters.

Cost function and information loss decrease with each step of conditional inversion.

Measurement errors and parameter identifiability

TECO biogeochemical model

No. of parameter

8

12

8

3

Exit rates

Chart1

0.031490785600

0.61414424160.00205712480

3.56718157470.59387609780.0002417883

8.80781010918.54529630512.1907225842

12.751846202721.821504865936.0553453341

13.255550928619.949521322921.3286265218

10.37939250877.82308726960.4248219834

6.29771359161.19724661760.0002417883

2.82766556690.06598623310

1.02751624440.00142416330

0.316977673100

0.089593502700

0.02306367400

0.007096515100

0.002809037200

0.000147844100

000

000

000

000

000

000

000

000

000

000

000

000

000

000

2.0-SD

1.0-SD

0.5-SD

c1

initialQ

2.0-SD2.0-SD

No.Xo1Xo1Xo2Xo2Xo3Xo3Xo4Xo4Xo5Xo5Xo6Xo6Xo7Xo7Xo8Xo8No.Xo1Xo1Xo2Xo2Xo3Xo3Xo4Xo4Xo5Xo5Xo6Xo6Xo7Xo7Xo8Xo8

1244.8000031106033132137201.60000619942369426252859974.159996826715843331.20001222271244.80000311.567579022131320.020254487201.60000611.4698548182361.3935712792521.271301708174.1599961.222217841715840.0004435289331.20001220.0335603544

2251.5999908152603219357207.19999691402337134252591231576.220001212041162816340.39999395082251.59999082.256083738332190.0527799407207.19999692.0732019831371.9847967772591.820686188576.22000121.780177214416280.0023654875340.39999390.0751042293

3258.3999939164643306606212.80000311494438138662661305078.279998813108167271349.600006110063258.39999392.434086675433060.0895928405212.80000312.2093653594382.04999568792661.929350772278.27999881.937925664616720.0104968509349.60000610.1487300289

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6278.79998781779135672872229.60000611565841138642871373084.4599991136561804944377.200012241626278.79998782.63027429835670.4246050129229.60000612.3149252407412.04970000122872.029883992584.45999912.018943612718040.1395637647377.20001220.6153224455

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20373.999969512666478527514308129965514479384.999969514166113.2999954136352420317355062224820373.99996951.872579071347854.06775150553081.9213672518552.1406236525384.99996952.0943435279113.29999542.015838910324204.69179668635063.28921042

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27421.59997568381539410469347.2000122116366213533433.999969513610127.71999361444227286460570.4000244172027421.59997561.239071940453941.5477680639347.20001221.7203008112622.0007638572433.99996952.012142836127.71999362.135148187927280.955065593570.40002440.2542899102

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29435.1999817703955686220358.3999939106406412734447.999969513141131.83999631422028162833588.799987851029435.19998171.040666673255680.9195832799358.39999391.573049212641.8826370323447.99996951.9428044826131.83999632.102327048428160.418839137588.79998780.0753999152

30441.99996954620565534613647512658759454.99996958996133.899993996572860136059821230441.99996950.683034526356550.51168452283641.1105963985651.2949597743454.99996951.3299953676133.89999391.427719571528600.20106644065980.0313427099

405836405836405836405835405836405836405836405836

1.0-SD1.0-SD


1244.8000031707731320201.60000619227368892252996474.159996766215840331.200012201244.80000311.121982798531320201.60000611.4628462112361.40973539722521.579685827974.1599961.214728303215840331.20001220

2251.59999081139832190207.19999691330737130932591441676.22000121114316280340.399993902251.59999081.80703121932190207.19999692.1096883637372.07576085872592.285502899976.22000121.766603691316280340.39999390

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4265.19998171566233930218.39999391478739137912731483180.33999631234317160358.799987804265.19998172.483042898133930218.39999392.3443271838392.18642159952732.351296719680.33999631.956850880617160358.79998780

527217598348012241503440137622801469982.39999391260217600368352722.789975030134800.00015853932242.3834865003402.18182394692802.330369528782.39999391.9979125656176003680.000475618

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20373.99996959855478541075308129285512611384.999969512234113.2999954128382420469445061726820373.99996951.562405041647856.5120027483082.049601801551.9993447024384.99996951.9395700942113.29999542.035327846124207.44247004275062.737657053

21380.79998788256487232413313.6000061122395612619391.999969511913115.35999313186246432052515.2000122824321380.79998781.308900661948725.1387351204313.60000611.9403679179562.0006130203391.99996951.8886789711115.3599932.09049953124645.0815024243515.20001221.3068396507

22387.59997566517495923103319.2000122116065712689398.999969511953117.419998213430250818981524.4000244338322387.59997561.033200776849593.6627340106319.20001221.8400122604572.0117108024398.99996951.8950205441117.41999822.129183126125083.0092349156524.40002440.5363385343

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26414.7999878239553072289341.600006191336113040426.999969511038125.659996137052684503561.20001222226414.79998780.379701681853070.3628965135341.60000611.4479434753612.0673582523426.99996951.7499570623125.6599962.172781440326840.0797452802561.20001220.0034878651

27421.599975616395394950347.200012289456213349433.999969510438127.7199936138802728124570.4000244327421.59997560.259845952653940.1506123581347.20001221.4181380036622.1163470329433.99996951.6548334677127.71999362.200525822127280.0196588762570.40002440.000475618

28428.399963412245481387352.799987885936313376440.999969510384129.779998813854277225579.5999756028428.39996340.19405213354810.0613547185352.79998781.3623320139632.120627606440.99996951.6462723441129.77999882.196403799727720.0039634831579.59997560

29435.19998179235568158358.399993980376413008447.999969510072131.83999631296328168588.7999878029435.19998170.146331796455680.0250492132358.39999391.2741839167642.0622849805447.99996951.5968080749131.83999632.055145261728160.0012683146588.79998780

30441.99996955325655553645303659144454.99996956970133.8999939869828601598030441.99996950.084342920656550.00871966283640.8407362586651.4496874125454.99996951.1050190908133.89999391.378975043328600.00015853935980

378455378455378454378454378455378455378455378455

0.5-SD0.5-SD


1244.8000031189331320201.60000611222436133552522262274.159996985015840331.200012201244.80000310.228904250431320201.60000611.4781434531361.61490558052522.735484391174.1599961.191075999115840331.20001220

2251.5999908423032190207.19999691589137164822592714876.22000121200316280340.399993902251.59999080.511497611832190207.19999691.9215623048371.99302686472593.282774743576.22000121.45141981916280340.39999390

3258.3999939726133060212.80000311736538162872662685178.27999881209316720349.600006103258.39999390.878010439533060212.80000312.0998004797381.96944718762663.246861081478.27999881.462302746916720349.60000610

4265.19998171200833930218.39999391813339159152732675280.33999631284317160358.799987804265.19998171.452024426133930218.39999392.1926681312391.92446441892733.234889860780.33999631.552993812917160358.79998780

527218575348002242010640163872802574382.39999391368117600368052722.2461153993348002242.4312460952401.98153932972803.112880146782.39999391.6543259638176003680

6278.79998782694935670229.60000612147641158762872417784.45999911393018040377.200012206278.79998783.258711380735670229.60000612.5969084423411.91974848342872.923517201184.45999911.684435397718040377.20001220

7285.60000613708936540235.19999692226742156942942392486.51999661403318480386.399993907285.60000614.48485459236540235.19999692.6925572865421.89774078482942.892924081586.51999661.696890304118480386.39999390

8292.39999394526437410240.80000312273243157503012291688.57999421395218920395.600006108292.39999395.473387210537410240.80000312.7487857474431.90451238443012.771035288988.57999421.68709566918920395.60000610

9299.19998175075338280246.39999392353344159343082195290.63999941396119360404.799987809299.19998176.137124891738280246.39999392.8456438058441.92676192593082.654467038890.63999941.688183961819360404.79998780

1030653942391502522386045159383152133592.699996915399198004140103066.522743304391502522.8851851105451.92724561163152.579858521992.69999691.8620689655198004140

11312.799987853594400211257.60000612471846164853222009194.75999451582920240423.20001226911312.79998786.480662649440020.0013301356257.60000612.98893569461.9933896293222.429432273994.75999451.914065176620240423.20001220.0083435781

12319.5999756494004089148263.20001222469347168653291948396.81999971644620680432.399993997112319.59997565.973518208840890.0178963703263.20001222.9859126544472.0393397693292.355912049896.81999971.988673693520680432.39999390.1174147

13326.39999394169541761034268.79998782430348173793361859698.879997317336211222441.6000061863813326.39999395.041818658241760.1250327496268.79998782.9387533001482.10149337963362.248654749298.87999732.096293758421120.0026602713441.60000611.0445192366

14333.19998173337942635279274.399993923636491657934318756100.9399948174792156566450.79998783961514333.19998174.036236119242630.6383441827274.39999392.8580987122492.00475624263432.2680021766100.93999482.113585521721560.0684415244450.79998784.790302102

1534023565435020183280229255016627350175991031776422006372460103946153402.849513291343502.44055704472802.7721235817502.01056047083502.12809609221032.148048126722000.770511296146012.5692980511

16346.799987815251443755128285.6000061218495117158356.999969516108105.059997618239224434037469.200012215207116346.79998781.844172595244376.6661561096285.60000612.6420121324512.0747697455356.99996951.9478022532105.05999762.205485801822444.1158024144469.200012218.3886414478

17353.59997569653452499665291.2000122203965217825363.999969514693107.119995119073228899200478.399993912215717353.59997561.1672544791452412.0516334469291.20001222.4663133074522.1554243334363.99996951.7766984421107.11999512.3063342671228811.995404986478.399993914.7713980532

18360.399993957524611121638296.7999878191795317716370.999969513722109.1799927194082332152096487.60000615417718360.39999390.6955400149461114.7086398355296.79998782.3191519378532.1422438985370.99996951.6592837421109.17999272.3468429432233218.3916644834487.60000616.551159838

19367.199981730674698102117302.3999939181135418071377.999969513175111.2399979195272376127117496.79998781279219367.19998170.3708659989469812.3481327717302.39999392.1902497027542.185171003377.99996951.5931397247111.23999792.3612325924237615.3711683025496.79998781.5468268204

20373.99996951442478559507308159965518244384.999969512342113.299995419008242058843506165820373.99996950.174368689447857.19567101313081.934259054552.2060904089384.99996951.4924121808113.29999542.298474374724207.11537918945060.2004877164

21380.7999878794487223446313.6000061144045617759391.999969511784115.35999318975246415362515.20001229521380.79998780.096011608548722.8351236422313.60000611.7417521514562.1474435196391.99996951.4249380278115.3599932.294483967824641.8575948729515.20001220.011487535

22387.599975636349596611319.2000122128985717427398.999969511031117.41999821922025082381524.4000244122387.59997560.043894475949590.7994115158319.20001221.559644491572.1072976078398.99996951.3338841976117.41999822.32410971625080.2879139039524.40002440.0001209214

23394.399963415150461260324.7999878114635816621405.999969510670119.4799957194632552182533.5999756023394.39996340.018259134650460.1523609907324.79998781.3861222516582.0098349423405.99996951.2902315645119.47999572.353493621425520.0220076987533.59997560

24401.1999817965133152330.3999939101475916952412.999969510135121.539993319611259612542.7999878024401.19998170.011608456451330.018380056330.39999391.2269896612592.0498599327412.99996951.2255386042121.53999332.371389991725960.0014510571542.79998780

25407.9999695245220733684506016330419.99996959063123.59999081973526400552025407.99996950.002902114152200.00084644993361.0217860094601.9746468087419.99996951.0959108406123.59999082.386384248264005520

26414.7999878053074341.600006173996115947426.99996958585125.6599961942726840561.2000122026414.7999878053070.0004836857341.60000610.8946975957611.9283339044426.99996951.0381104013125.6599962.349140450226840561.20001220

27421.5999756053940347.200012261386216305433.99996957722127.71999361836427280570.4000244027421.5999756053940347.20001220.7422156835621.9716237732433.99996950.9337552147127.71999362.220600979527280570.40002440

28428.3999634054810352.799987850506316393440.99996957023129.77999881752227720579.5999756028428.3999634054810352.79998780.6106531772631.9822648582440.99996950.8492311413129.77999882.118785142827720579.59997560

29435.1999817055680358.399993940806417368447.99996956876131.83999631773028160588.7999878029435.1999817055680358.39999390.4933593986642.1001632439447.99996950.8314556924131.83999632.143936798428160588.79998780

30441.999969505655036427666514521454.99996955316133.89999391428928600598030441.99996950565503640.3344686511651.7558999577454.99996950.6428182753133.89999391.727846188286005980

496190496190496190496190496190496190496190496190

matrixA

2.0-SD2.0-SD

No.A1A1A2A2A3A3A4A4A5A5A6A6A7A7A8A8A9A9A10A10A11A11A12A12No.A1A1A2A2A3A3A4A4A5A5A6A6A7A7A8A8A9A9A10A10A11A11A12A12

10.033333386440.0190060.033333389280.026666726640.016666777530.016666779890.023333347670.0189520.023333375600.01116290.033333396840.03333331010110.03333331.27798928110.011.33159519860.03333331.31996481280.02666670.39387599710.01666671.14628586920.01666671.1811698840.02333330.70479522940.011.32351310530.02333331.11776447110.011.71935487850.03333331.43173602680.03333331.4933949688

20.0666667127280.02125740.0666667125130.053333343480.0333333109910.0333333119020.046666772030.02136820.0466667108070.02165670.0666667138020.06666671456920.06666671.88179634080.021.85914701610.06666671.84999100610.05333330.64285767090.03333331.62502618190.03333331.75970508950.04666671.06495490610.022.02282242030.04666671.59784135430.022.44944124790.06666672.04056388280.06666672.1539720127

30.1131880.03130900.1130140.0852360.05114730.05128430.0780450.03153770.07113250.03169880.1140520.11481730.11.94980595080.031.93544094490.11.92406161220.080.77414966990.051.69629018150.051.89883149590.071.18944359570.032.27342057860.071.67442891990.032.51168635950.12.07752526310.12.1906378826

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50.1666667136410.05131510.1666667132530.133333369400.0833333120950.0833333130600.116666797340.05177410.1166667114900.05167150.1666667136870.16666671473650.16666672.0167806320.051.94446018840.16666671.95939669170.13333331.02608837080.08333331.78825326810.08333331.93091484360.11666671.43916021880.052.62292739060.11666671.69882457310.052.47132313990.16666672.02356164790.16666672.1786623364

60.2139780.06132570.2133130.1678970.1127100.1134710.14105470.06191950.14118140.06167760.2131880.21476560.22.06660506380.061.96013297220.21.9682674230.161.16758211290.11.87918140040.11.99168099990.141.55936129320.062.83789477830.141.74672876470.062.48034202780.21.94978673280.22.1829498777

70.2333333140700.07131920.2333333135210.186666789700.1166667130800.1166667137130.1633333117870.07200510.1633333121980.07159500.2333333130920.23333331508470.23333332.08020698580.071.95052230290.23333331.99901929140.18666671.32622661180.11666671.93388613040.11666672.02746058580.16333331.74269380510.072.96445054440.16333331.80350410290.072.35821741430.23333331.93559356280.23333332.2301128313

80.2666667142340.08137520.2666667136690.2133333100240.1333333131850.1333333141880.1866667128260.08215170.1866667120900.08162120.2666667133450.26666671530080.26666672.10445389020.082.03332191550.26666672.02090042850.21333331.48206193490.13333331.94941044560.13333332.09768911190.18666671.89630870830.083.18119207840.18666671.7875360390.082.39695427720.26666671.97299847970.26666672.2620476213

90.3145210.09133780.3137700.24109870.15132530.15144780.21130270.09216020.21123190.09156050.3135060.31523090.32.1468859730.091.97802360280.32.03583282610.241.62444278520.151.95946428790.152.14056547520.211.92602631710.093.19375894770.211.82139424850.092.30720894990.31.99680160860.32.2516983838

100.3333333148620.1134500.3333333137390.2666667120190.1666667137190.1666667147590.2333333134920.1213180.2333333128640.1157090.3333333134720.333333314954100.33333332.19730179260.11.98866926730.33333332.0312496150.26666671.77702537870.16666672.02836267760.16666672.18211119270.23333331.99477600910.13.15177081970.23333331.90197383010.12.32258541450.33333331.99177486080.33333332.2108928189

110.3666667148200.11136220.3666667135730.2933334129440.1833333136960.1833333147340.2566667138970.11211070.2566667131330.11158210.3666667137300.366666714628110.36666672.19109221960.112.01410057690.36666672.00670725850.29333341.91378787770.18333332.02496211330.18333332.17841495450.25666672.05465477310.113.12057541480.25666671.94174613740.112.33914468420.36666672.02991900530.36666672.1626949414

120.4147920.12134090.4136340.32138130.2138450.2151330.28143620.12201070.28136020.12152810.4134870.414254120.42.18695250420.121.98260715280.42.01572583530.322.0422707010.22.04699185590.22.23740691640.282.1234044650.122.97272989360.282.01108893320.122.25930534850.41.99399254370.42.107400444

130.4333333148580.13135660.4333333136850.3466667145010.2166667141060.2166667149610.3033333149090.13192840.3033333139450.13151700.4333333137990.433333314052130.43333332.19671040470.132.00582061560.43333332.02326595680.34666672.143992430.21666672.08558086810.21666672.21197679750.30333332.20427775860.132.85105302970.30333332.06180232130.132.24289392950.43333332.04012034630.43333332.0775355016

140.4666667149100.14132120.4666667136210.3733333149820.2333333139880.2333333148020.3266667154420.14183790.3266667139930.14150050.4666667139290.466666713742140.46666672.20439844760.141.95347943190.46666672.01380384350.37333332.21510892950.23333332.06813449480.23333332.18846872240.32666672.2830811690.142.71725283310.32666672.06889923860.142.21849857690.46666672.0593402640.46666672.0317031642

150.5147200.15132880.5138030.4154620.25138850.25143180.35160280.15175060.35141360.15150730.5136770.513357150.52.17630752170.151.96471652220.52.04071172830.42.28607757760.252.05290588080.252.11690955060.352.36972056580.152.58818369310.352.09004213790.152.22855241920.52.02208319270.51.974782358

160.5333334145750.16134980.5333334139470.4266667165160.2666667139230.2666667146270.3733333160220.16165780.3733333144100.16148000.5333334137250.533333412981160.53333342.15486970990.161.9957663770.53333342.06200148340.42666672.44191290080.26666672.05852420440.26666672.16259505490.37333332.3688334730.162.45098304950.37333332.13055370740.162.18818919950.53333342.02917977770.53333341.9191921681

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190.6333333138130.19136520.6333333135820.5066667180870.3166667141080.3166667143340.4433333166780.19126740.4433333148180.19137850.6333333144670.633333312441190.63333332.04221031230.192.01853627040.63333332.00803786820.50666672.6741873720.31666672.08587656940.31666672.1192751430.44333332.46582228570.191.8737941350.44333332.19087750430.192.03812081860.63333332.13888115440.63333331.8393551932

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210.7136450.21140020.7137480.56180820.35147860.35139060.49159160.21102780.49149410.21128260.7142020.712905210.72.017372020.212.07028602830.72.03258022470.562.67344811530.352.18611929080.352.05599554480.492.35316150020.211.51955626630.492.20906335480.211.89633207250.72.09970209130.71.9079558531

220.7333333136880.22141230.7333333140120.5866667182730.3666667145910.3666667137250.5133333159920.2292940.5133333148800.22118930.7333333142530.733333313093220.73333332.023729440.222.08817665890.73333332.07161144230.58666672.70168772320.36666672.15728841960.36666672.02923478010.51333332.3643980090.221.37407627350.51333332.20004435570.221.75838744260.73333332.10724221290.73333331.9357509481

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405825405799405829405813405815405818405820405829405810405815405829405827

1.0-SD1.0-SD


10.0333333111700.0183440.033333384370.026666729910.016666760550.016666766970.023333342470.0142960.023333377380.0195440.033333388890.0333333879210.03333331.758404370.011.3136158020.03333331.32820125310.02666670.47085431220.01666670.95321806210.01666671.0543136020.02333330.66858726110.010.67629934960.02333331.21816702960.011.50250312230.03333331.39933934520.03333331.384101929

20.0666667158930.02121630.0666667122990.053333351070.033333385620.033333399720.046666767140.0269380.0466667113740.02135710.0666667126430.06666671224920.06666672.50190874240.021.91485007190.06666671.93617959130.05333330.80396287950.03333331.34788654790.03333331.56989924430.04666671.05695664490.021.09221715250.04666671.79057014670.022.13647002030.06666671.9903079470.06666671.9283285405

30.1162460.03126840.1128180.0863750.0592270.05103610.0777490.0383000.07119300.03141750.1130260.11256730.12.55747872830.031.99687234330.12.01788356790.081.00357614190.051.45257523680.051.63113979850.071.21989232080.031.30663049380.071.87809933620.032.23155718350.12.05060122740.11.978390462

40.1333333161780.04127940.1333333132560.106666772440.066666796560.0666667105180.093333387390.0496230.0933333121710.04141990.1333333133260.13333331283840.13333332.54677402850.042.01418990540.13333332.08683605680.10666671.14037734460.06666671.52011124810.06666671.65585642320.09333331.37574383680.041.5149042460.09333331.91603914670.042.23533548140.13333332.09782833990.13333332.0210532944

50.1666667158190.05126180.1666667132470.133333384800.083333399630.0833333107860.116666796100.05106380.1166667127430.05147450.1666667134590.16666671290150.16666672.49025951030.051.98648180610.16666672.08541922480.13333331.33495304840.08333331.56844121430.08333331.69804785890.11666671.51286168570.051.67469098710.11666672.00608716190.052.32129175810.16666672.11876569320.16666672.0309712223

60.2155380.06131320.2127060.1696220.1101390.1111150.14103970.06123160.14130430.06148890.2136460.21285360.22.44602391240.062.06740205080.22.00025188120.161.51473092350.11.59614829590.11.74984256930.141.63675576970.061.93885074240.142.05331514180.062.34396154530.22.14820392670.22.0234147058

70.2333333156350.07124870.2333333125670.1866667108130.1166667105820.1166667118360.1633333115040.07135920.1633333132020.07144430.2333333136180.23333331252970.23333332.46129385190.071.96585816390.23333331.97836969870.18666671.70222256040.11666671.66588827960.11666671.86335012590.16333331.81102610120.072.13972550260.16333332.07834597120.072.27374817640.23333332.14379606280.23333331.9724082198

80.2666667156550.08127740.2666667126950.2133333120850.1333333109790.1333333122370.1866667123450.08157500.1866667131760.08144300.2666667132010.26666671260480.26666672.4644422930.082.01104125780.26666671.99852019770.21333331.90246551760.13333331.72838663970.13333331.92647984890.18666671.94342117690.082.4794494310.18666672.07425287960.082.27170159840.26666672.07815037640.26666671.9842152768

90.3154050.09125930.3127510.24138100.15111870.15123870.21124340.09171800.21127570.09137120.3133520.31273490.32.42508677890.091.98254599650.32.00733604110.242.17402141490.151.76113137250.151.95009445840.211.95743207080.092.70456769680.212.00829113430.092.15866752030.32.10192135640.32.0046808421

100.3333333151280.1130400.3333333128220.2666667150850.1666667114800.1666667128150.2333333128950.1187690.2333333131950.1138970.3333333131820.333333312810100.33333332.38148086930.12.05291827160.33333332.0185132710.26666672.37473664330.16666671.80725736630.16666672.01747481110.23333332.03000535250.12.9547165950.23333332.0772439850.12.18779189970.33333332.07515932590.33333332.0166453265

110.3666667149760.11130100.3666667124600.2933334164770.1833333118500.1833333127720.2566667134220.11198850.2566667132140.11141340.3666667133260.366666712642110.36666672.35755271670.112.04819530010.36666671.96152514090.29333342.59387044550.18333331.86550520820.18333332.01070528970.25666672.11296873520.113.13040329750.25666672.08023509040.112.22510259130.36666672.09782833990.36666671.9901975189

120.4143480.12127120.4125670.32176490.2123780.2131120.28138790.12209470.28129000.12140780.4132350.412778120.42.25869166530.122.001280450.41.97836969870.322.77837103190.21.94862645290.22.0642317380.282.18491231380.123.29758903060.282.0308031380.122.21628656290.42.08350278250.42.0116076489

130.4333333140430.13127440.4333333124010.3466667184480.2166667128380.2166667130030.3033333139930.13211470.3033333132780.13140110.4333333135430.433333313172130.43333332.21067793810.132.00631828630.43333331.95223702020.34666672.90415257510.21666672.02104268880.21666672.04707178840.30333332.20285885210.133.32907410270.30333332.09031039280.132.20573881470.43333332.13198928470.43333332.0736340547

140.4666667139680.14125780.4666667123770.3733333189030.2333333132430.2333333129100.3266667140880.14210120.3266667131880.14136340.4666667132790.466666713301140.46666672.19887128390.141.98018451080.46666671.94845880170.37333332.97578036240.23333332.08480046180.23333332.03243073050.32666672.21781430060.143.3078216790.32666672.07614199880.142.14638805220.46666672.09042942560.46666672.0939421926

150.5136090.15127610.5125110.4190350.25132440.25131330.35143020.15208160.35129340.15138450.5134720.513475150.52.14235676560.152.00899463680.51.96955385540.42.9965602920.252.08495788840.252.06753778340.352.25150341610.153.27696630830.352.03615564240.152.17960558770.52.12081220140.52.1213345648

160.5333334134540.16127650.5333334128620.4266667191110.2666667135680.2666667135200.3733333144820.16193660.3733333130650.16139330.5333334132740.533333413675160.53333342.11795634690.162.00962436630.53333342.02481030190.42666673.00852449380.26666672.13596410670.26666672.12846347610.37333332.27984005540.163.04869953530.37333332.0567785270.162.19345934660.53333342.08964230710.53333342.15282005

170.5666667130990.17129380.5666667128480.4533333182050.2833333141960.2833333137840.3966666146590.17175840.3966666131630.17131110.5666667132220.566666713688170.56666672.06207151680.172.03686016860.56666672.02260634110.45333332.86589861390.28333332.23482801140.28333332.17002518890.39666662.30770441740.172.76816754260.39666662.07220633380.172.06405264430.56666672.08145627430.56666672.1548666065

180.6127590.18134760.6128700.48170130.3144850.3141120.42151500.18166380.42133410.18131710.6130390.613387180.62.00854801770.182.12155879050.62.02606970810.482.67824955330.32.28032429880.32.22166246850.422.38500047230.182.61924315130.422.10022826860.182.0734983890.62.05264773560.62.1074809513

190.6333333124020.19135390.6333333130210.5066667164890.3166667146470.3166667141210.4433333155940.19151610.4433333133550.19130570.6333333125230.633333313320190.63333331.95234834350.192.13147703060.63333332.0498410.50666672.595759530.31666672.3058274080.31666672.22307934510.44333332.45489751580.192.38672589360.44333332.1024322410.192.05555147410.63333331.9714171020.63333332.0969333137

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210.7112820.21132060.7132290.56151960.35145280.35140230.49156570.21120900.49140650.21125900.7123900.713061210.71.77603564040.212.07905204710.72.08258556090.562.39221067490.352.28709364260.352.20765113350.492.46481533960.211.90327261090.492.21420512690.211.98203209450.71.95047974880.72.0561596104

220.7333333111740.22131960.7333333133810.5866667145060.3666667148760.3666667142860.5133333153110.22105940.5133333138410.22121240.7333333123860.733333312791220.73333331.75903405830.222.07747772330.73333332.10651427850.58666672.2835883160.36666672.34187809930.36666672.24905541560.51333332.41034602190.221.66776427130.51333332.17894156850.221.90867014410.73333331.94985005390.73333332.0136542054

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240.8103570.24131910.8132910.64127640.4153500.4141030.56143380.2488540.56133670.24116750.8127950.812457240.81.63042023820.242.07669056140.82.09234595890.642.00935621570.42.41649830770.42.22024559190.562.2571707440.241.39384414360.562.10432136020.241.8379844880.82.01423635070.81.9610734451

250.8333333101100.25131390.8333333134890.6666667118330.4166667156050.4166667143740.5833333143380.2578740.5833333131410.25112830.8333333130030.833333312865250.83333331.59153699020.252.06850407750.83333332.12351626210.66666671.86279474310.41666672.45664209060.41666672.26290931990.58333332.2571707440.251.23956729020.58333332.06874294860.251.77627228930.83333332.04698048210.83333332.0253038349

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280.933333385220.28138260.9333333140410.746666792730.4666667158810.4666667144920.6533333139860.2861100.6533333129520.28104480.9333333126980.933333313503280.93333331.34155076470.282.17666012450.93333332.21041528920.74666671.45979004920.46666672.50009183220.46666672.28148614610.65333332.20175687160.280.96186895390.65333332.03898932120.281.6448190090.93333331.9989662510.93333332.1257425327

290.966666676660.29128170.9666666131050.773333484370.4833333148940.4833333140870.6766667133780.2954270.6766667120890.2996030.9666666118350.966666612868290.96666661.20679748440.292.01781085020.96666662.0630647650.77333341.32818382890.48333332.34471177810.48333332.21772670030.67666672.10604200120.290.85434743250.67666671.90313016560.291.5117914380.96666661.86310959050.96666662.0257761172

30153360.38926189530.854100.5101760.596580.793820.334430.785140.3621218362191773010.8400040930.31.405241448811.40943295240.80.85166226320.51.60197308010.51.5204659950.71.47696860930.30.54201551690.71.34033007110.30.977949433811.316377050811.444711488

381141381116381132381137381130381120381132381133381130381124381137381128

0.5-SD0.5-SD


10.0333333183710.01137050.0333333141740.026666785310.016666752810.016666777910.023333386220.0124710.0233333140900.01141000.0333333139360.03333331267910.03333332.22219534170.011.65786624570.03333331.71453455320.02666671.03192171380.01666670.63883708510.01666670.94245967740.02333331.04296494620.010.29890887980.02333331.70442173850.011.7056348450.03333331.68575547110.03333331.5337005258

20.0666667215850.02159040.0666667171620.0533333137140.033333369490.0333333102060.0466667117640.0235280.0466667167810.02175320.0666667163940.06666671564920.06666672.61096763660.021.92387484650.06666672.07597304940.05333331.65886465630.03333330.84061331260.03333331.23459677420.04666671.42303869490.020.42677075180.04666672.02994330690.022.12079362420.06666671.9830851890.06666671.8929631302

30.1208560.03158590.1172130.08159090.0569060.05105680.07124620.0340480.07175350.03178060.1157420.11629030.12.52278624180.031.91843128720.12.08214218030.081.9243749320.050.83541164730.051.27838709680.071.50747264670.030.48967347040.072.12115224880.032.1539385850.11.90421660640.11.9705009516

40.1333333220560.04154390.1333333174840.1066667175120.066666776010.0666667115080.0933333131760.0454940.0933333178290.04181400.1333333163120.13333331702140.13333332.66794080110.041.86762473310.13333332.11492324880.10666672.11827605810.06666670.91948507550.06666671.39209677420.09333331.59384204720.040.66459141460.09333332.15671647810.042.19434156650.13333331.97316613410.13333332.0589255185

50.1666667222660.05149360.1666667173380.1333333196440.083333384410.0833333122980.1166667136260.0563410.1166667179330.05186800.1666667164910.16666671685350.16666672.6933428490.051.80677783620.16666672.09726259930.13333332.37616576550.08333331.0210990030.08333331.48766129030.11666671.64827654340.050.76705026570.11666672.16929702180.052.2596637520.16666671.99481870510.16666672.0386035934

60.2225930.06158730.2173100.16225700.190820.1127850.14139570.0673710.14173140.06190210.2163520.21640560.22.73289746640.061.9201248390.22.09387562550.162.73009882550.11.09864010730.11.54657258060.141.68831613940.060.89164603510.142.09441859340.062.30091350250.21.97800469740.21.9844117932

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90.3203400.09161040.3177670.24311980.15102640.15137470.21157530.09123250.21157220.09178840.3153570.31539390.32.46036978120.091.94806844370.32.14915587740.243.77375379520.151.24162541960.151.66294354840.211.90557026180.091.49091539580.211.90183950130.092.16337401190.31.85764543410.31.8619963872

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120.4191900.12174690.4172860.32300000.2115850.2153640.28171020.12190010.28169660.12175240.4163100.415570120.42.32126332850.122.11318974430.42.0909725050.323.62884203650.21.40142541760.21.85854838710.282.06875278470.122.29848952830.282.05232215870.122.11982588810.41.97292420590.41.8834069869

130.4333333189600.13179930.4333333169580.3466667287670.2166667126370.2166667161200.3033333170900.13215400.3033333176710.13175740.4333333162050.433333315640130.43333332.2934420380.132.17657696890.43333332.05129652550.34666673.47969662880.21666671.5286847650.21666671.950.30333332.06730119820.132.60562414820.30333332.1376037290.132.12587423870.43333331.96022297710.43333331.8918744557

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150.5197930.15190840.5173800.4231580.25155930.25167110.35171770.15247450.35189030.15172010.5165090.516101150.52.39420349460.152.30855304140.52.10234306010.42.80122412940.251.88626901480.252.02149193550.352.07782520080.152.99332263450.352.28663478520.152.08075354380.51.99699605860.51.9476387858

160.5333334175050.16189990.5333334165810.4266667208280.2666667168160.2666667173540.3733333181500.16264720.3733333187290.16174810.5333334165680.533333416705160.53333342.11744213470.162.29827076260.53333342.00569334180.42666672.51938406450.26666672.03421405460.26666672.09927419350.37333332.1955246780.163.20223224010.37333332.26558656790.162.11462430670.53333342.00413293950.53333342.0207009451

170.5666667164470.17181560.5666667160840.4533333189640.2833333176000.2833333182850.3966666194270.17264770.3966666181160.17159390.5666667160580.566666716633170.56666671.98946419820.172.19629475060.56666671.94557455580.45333332.29391201270.28333332.12905372030.28333332.21189516130.39666662.34999768150.173.20283707390.39666662.191433940.171.92809317690.56666671.94244125680.56666672.0119915487

180.6159410.18173900.6157670.48164310.3186380.3191900.42198010.18263360.42178810.18157600.6162680.617107180.61.9282573590.182.10363327350.61.90722917310.481.98751678340.32.25461950220.32.32137096770.422.39523879610.183.18578075980.422.16300674990.181.9064400820.61.96784371440.62.0693284088

190.6333333153840.19173380.6333333155220.5066667137350.3166667197780.3166667201410.4433333196640.19261740.4433333179790.19159640.6333333160280.633333317190190.63333331.86088145110.192.09734293820.63333331.87759315190.50666671.66140484570.31666672.39252411820.31666672.43641129030.44333332.37866651610.193.16618414370.44333332.17486149310.191.93111735210.63333331.93881233430.63333332.0793684075

200.6666667147040.2165520.6666667157210.5333334119250.3333333198500.3333333204020.4666667194630.2249380.4666667171260.2158160.6666667157930.666666716764200.66666671.77862720080.22.00226210130.66666671.90166485890.53333341.44246470950.33333332.40123388340.33333332.4679838710.46666672.35435244120.23.01666922040.46666672.07167684130.21.91321423460.66666671.91038577460.66666672.0278378117

210.7134760.21164850.7163360.56103630.35201470.35196350.49186400.21239290.49161630.21162170.7154500.716821210.71.63008570170.211.99415724630.71.97605732050.561.25352300080.352.43716166490.352.37520161290.492.2547977960.212.89461375310.491.95518584530.211.96172200570.71.86889509390.72.0347327506

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250.8333333105190.25170570.8333333163730.666666759600.4166667267270.4166667204760.5833333182050.25196490.5833333160150.25149190.8333333180040.833333317732250.83333331.2724006750.252.06335093420.83333331.98053296450.66666670.72092995130.41666673.23313743080.41666672.47693548390.58333332.20217778310.252.37687599290.58333331.93728276380.251.80470682640.83333332.17783736380.83333332.1449308087

260.8666667100720.26169140.8666667165060.693333352950.4333333279830.4333333201500.6066667181510.26180880.6066667152090.26148020.8666667192940.866666717997260.86666671.21833060160.262.04605251220.86666671.99662109040.69333330.64049061940.43333333.38507444630.43333332.43750.60666672.19564564350.262.18804687060.60666671.83978355010.261.79055368620.86666672.33388103180.86666672.1769862263

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496023495999496018496026495995496000496009496004496004496003496015496016

matrixC

2.0-SD2.0-SD

No.c1c1c2c2c3c3c4c4c5c5c6c6c7c7c8c8No.c1c1c2c2c3c3c4c4c5c5c6c6c7c7c8c8

10.00100182130.000011483170.003526700.0011525200.000621155780.01346491902970.0000637119660.0000005881211.00E-030.03149078560.00001141.2315460590.003526700.00115250.00295685940.00062110.85816484830.013464928.15273432010.00006371.76908899160.00000051.3027922609

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30.0012534241280.0000266215980.00378670.003107560870.000767280220.0398466298780.0001455348130.00000111305831.25E-033.56718157470.00002663.19814016850.003780.00990721230.00310750.89992016480.00076721.23416966880.03984664.42018211540.00014555.14685735120.00000111.930533516

40.0013792595750.0000342233340.00390673910.004085109260.000840390640.053037546150.0001864434220.00000141330041.38E-038.80781010910.00003423.45519968020.00390670.05781671660.0040851.61533230170.00084031.39447941640.05303750.68274785670.00018646.4196374890.00000141.966311515

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60.0016308896590.0000494258560.0041635650.00604146770.0009864119610.07941924460.0002682471710.0000021310861.63E-0313.25555092860.00004943.82864673570.004160.52715241580.006042.16989128610.00098641.84017743820.07941920.06598169970.00026826.97390078750.0000021.9379256646

70.0017566702050.000057263390.004286780640.0070175151300.0010595132280.09261012580.0003091425220.00000231387571.76E-0310.37939250870.0000573.90016732560.00428671.19241432850.00701752.2368641520.00105952.03510301410.09261010.03816878590.00030916.28657881510.00000232.0513212234

80.0018824425970.0000646264840.0044133150490.007995153910.0011325145130.10580092070.0003501373410.00000261357181.88E-036.29771359160.00006463.92163831020.00441332.22527817830.0079952.27545116750.00113252.23279785640.10580090.03062379340.00035015.52060438210.00000262.0063769602

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100.00213469500.0000798251790.0046667337020.00995156140.0012787162120.13218271040.0004319245990.000003213394102.13E-031.02751624440.00007983.72839944920.00466674.98347565710.009952.308420150.00127872.49418582290.13218270.01538586720.00043193.63678924490.00000321.9802087543

110.002259821440.0000874238780.0047933412890.0109275153040.0013517168690.1453735880.0004728185160.000003513995112.26E-030.31697767310.00008743.53575289120.00479336.10535654870.01092752.2625888290.00135172.59526404180.14537350.01301881070.00047282.7374604520.00000352.0690623799

120.00238566060.0000951221510.00492461980.011905151670.0014248173880.1585644660.0005137135630.000003813853122.39E-030.08959350270.00009513.28002606130.004926.8312446860.0119052.2423343420.00142482.67511121940.15856440.0097641080.00051372.00519421640.00000382.048068678

130.00251141560.0001027208900.0050467465120.0128825153000.0014979173890.1717553660.000554695130.000004113120132.51E-030.0230636740.00010273.09330253360.00504676.87767550180.01288252.26199745710.00149792.67526506750.17175530.0097641080.00055461.40643018360.00000411.9396997802

140.0026372480.0001103187940.0051733433550.01386155620.0015709172390.1849461760.000595568170.000004413603142.64E-030.00709651510.00011032.78293574990.00517336.41085357290.013862.30073231550.00157092.65218784860.18494610.01124351830.00059551.00784553370.00000442.0111079352

150.002763190.0001179167390.0053374470.0148375159320.001644172520.198137760.000636446210.000004713833152.76E-030.00280903720.00011792.47864007230.00535.53724446420.01483752.35543421480.0016442.65418787420.1981370.01124351830.00063640.68318236920.00000472.0451118186

160.002888810.0001255147890.0054267306030.015815156380.0017171171990.2113279840.000677331710.00000513824162.89E-030.00014784410.00012552.18989234890.00542674.52523012090.0158152.31196838130.00171712.64603392350.21132790.01242704660.00067730.46881006120.0000052.0437812318

170.003014600.0001331125290.0055533234910.0167925156260.0017901166780.2245187730.000718220770.000005313615173.01E-0300.00013311.85524114140.00555333.47358692840.01679252.31019426570.00179012.56587904970.22451870.01079969520.00071820.30706985090.00000532.0128820509

180.003140400.0001407106170.00568171480.01777156090.0018632162110.2377096540.000759114360.000005614128183.14E-0300.00014071.57212029670.005682.53565487410.017772.30768093520.00186322.49403197480.23770960.00798881570.00075910.21230250640.00000562.088725495

190.003266200.000148390030.0058067118350.0187475156770.0019363155180.2509005320.00089730.000005914333193.27E-0300.00014831.33312602730.00580671.75002772540.01874752.31773425720.00193632.38741522330.25090050.0047341130.00080.14385121080.00000592.1190333041

200.00339200.000155974540.005933380860.019725156510.0020093149030.2640913310.00084096250.000006214027203.39E-0300.00015591.10375668190.00593331.1956674430.0197252.31389033990.00200932.29279862560.26409130.0045861720.00084090.09240185690.00000622.073793355

210.003517800.000163558870.0060651300.0207025151820.0020824140540.2772822180.00088184080.000006514524213.52E-0300.00016350.8717219730.006060.75856715090.02070252.24455198650.00208242.16218156640.27728220.00266293860.00088180.06031993220.00000652.1472713116

220.003643600.000171147070.006186733080.02168149040.0021555135090.2904731160.00092272520.000006814520223.64E-0300.00017110.69699258140.00618670.48915012380.021682.20345164060.00215552.07833433760.29047310.00236705650.00092270.03725642870.00000682.1466799397

230.003769400.000178736320.006313320010.0226575150420.0022285128790.3036639130.00096371380.000007114659233.77E-0300.00017870.53781114420.00631330.29588554950.02265752.22385397060.00222851.98141001810.30366390.00192323340.00096370.020402330.00000712.1672301127

240.003895200.000186428010.0064412640.023635150500.0023016122730.3168548110.0010046780.000007414309243.90E-0300.00018640.41476019130.006440.18690621420.0236352.22503671430.00230161.88817805360.31685480.00162735130.00100460.01153175170.00000742.1154850728

250.00402100.00019419980.00656677330.0246125148880.0023747120230.330045770.0010455240.000007714907254.02E-0300.0001940.29585535960.00656670.108387860.02461252.2010861530.00237471.8497160220.33004570.00103558720.00104550.00354823130.00000772.2038951695

260.004146800.000201615290.00669334980.02559149430.0024477113420.3432365120.0010864120.00000814897264.15E-0300.00020160.22640783020.00669330.07363868250.025592.20921751640.00244771.7449454480.34323650.00177529240.00108640.00177411570.0000082.2024167398

270.004272600.000209210670.006822540.0265675147520.0025208107850.3564274180.001127360.000008314272274.27E-0300.00020920.15799683120.006820.03755868540.02656752.1809795090.00252081.65925204170.35642740.00266293860.00112730.00088705780.00000832.1100148829

280.004398400.00021686850.00694671450.027545146390.0025939102840.3696183260.001168230.000008614569284.40E-0300.00021680.10143189260.00694670.02144098180.0275452.16427325320.00259391.58217413040.36961830.00384646680.00116820.00044352890.00000862.1539242453

290.004524200.00022445620.0070733920.0285225134040.002666988960.3828091280.001209100.000008913501294.52E-0300.00022440.08321857460.00707330.01360393330.02852251.9816871840.00266691.36863293120.38280910.00414234890.001209100.00000891.9960279522

300.0046500.0002324110.0072620.029591740.0027460300.396150.0012500.00000918739304.65E-0300.0002320.06085913550.00720.00916786810.02951.35631141640.002740.92770420130.3960.00221911550.0012500.00000911.291999724

405833405198405765405836389995405567405836405836

1.0-SD1.0-SD


10.001001800.000011448160.003526700.001152500.000621162090.01346493026010.0000637114310.0000005897111.00E-0300.00001140.7620856080.003526700.001152500.00062111.01301413440.013464947.88369333020.00006371.80884563650.00000051.4195743334

20.0011276130.000019120870.003653300.002133100.000694179570.0266557764700.0001046252150.00000081299721.13E-030.00205712480.0000191.91265131740.003653300.002130.04905451380.00069411.29820477820.026655712.10064087350.00010463.99003085690.00000082.0566500514

30.001253437530.0000266192730.0037800.003107541620.0007672101880.0398466990.0001455396530.00000111281831.25E-030.59387609780.00002663.04976659550.0037800.00310750.65859640790.00076721.66219809980.03984660.01566579630.00014556.27470527730.00000112.0283250257

40.0013792540020.0000342256860.003906700.004085102250.0008403121580.053037500.0001864506030.00000141347641.38E-038.54529630510.00003424.06456206980.003906700.0040851.61800775380.00084031.98360860790.053037500.00018648.00743729730.00000142.1324471873

50.0015051379010.0000418313780.004033310.0050625133350.0009133144020.066228300.0002273552090.00000171323751.51E-0321.82150486590.00004184.96526623940.00403330.00015824040.00506252.11013529550.00091332.34972291260.066228300.00022738.73629242820.00000172.0946277395

60.00163081260710.0000494365970.00416120.00604140400.0009864165180.079419200.0002682533150.0000021320361.63E-0319.94952132290.00004945.79112271540.004160.00189888440.006042.22169475430.00098642.69495369190.079419200.00026828.43658517290.0000022.0892475671

70.0017566494380.000057399300.00428672070.0070175143750.0010595184270.092610100.0003091461460.00000231366471.76E-037.82308726960.0000576.3185378590.00428670.0327557560.00701752.27470527730.00105953.00641189490.092610100.00030917.3021599810.00000232.1621963763

80.001882475660.0000646408810.004413321620.007995143980.0011325202450.105800900.0003501360980.00000261332081.88E-031.19724661760.00006466.46902444810.00441330.34211567370.0079952.27834480580.00113253.30302321660.105800900.00035015.71216077220.00000262.10776169

90.00200824170.0000722387760.00454107130.0089725142160.0012056213210.118991800.000391252950.00000291333492.01E-030.06598623310.00007226.13592847540.004541.69522905290.00897252.24954505890.00120563.4785753520.118991800.0003914.00269008620.00000292.1099770551

100.00213490.0000798339990.0046667310540.00995143860.0012787220740.132182700.0004319161040.000003212975102.13E-030.00142416330.00007985.38001424160.00466674.91399636050.009952.27644592140.00127873.60142921630.132182700.00043192.54830287210.00000322.0531687634

110.002259800.0000874281430.0047933569040.0109275143940.0013517217840.145373500.000472894380.000003513565112.26E-0300.00008744.45335865180.00479339.00450985050.01092752.27771184430.00135173.5541149790.145373500.00047281.49347258490.00000352.14653058

120.002385600.0000951219510.00492751050.011905146060.0014248219400.158564400.000513753910.000003813351122.39E-0300.00009513.47353429860.0049211.88464277240.0119052.31125880210.00142483.57956677560.158564400.00051370.85307381910.00000382.1126671414

130.002511400.0001027162740.0050467757060.0128825148080.0014979207240.171755300.000554628290.000004112959132.51E-0300.00010272.57520373450.005046711.9797452330.01288252.34322335630.00149793.38117328430.171755300.00055460.44766199860.00000412.0506369175

140.002637200.0001103113340.0051733614970.01386145950.0015709195960.184946100.000595513790.000004413278142.64E-0300.00011031.79349632090.00517339.73130785660.013862.30951815810.00157093.19713721670.184946100.00059550.21821346630.00000442.1011155946

150.00276300.000117973580.0053380160.0148375144850.001644180160.19813700.00063646240.000004713281152.76E-0300.00011791.16433262130.00536.01566579630.01483752.29211171770.0016442.93935620010.19813700.00063640.09874198910.00000472.1015903157

160.002888800.000125547140.0054267180710.015815138550.0017171162830.211327900.00067732580.00000513603162.89E-0300.00012550.74594509060.00542672.85956167420.0158152.19242028640.00171712.65661284450.211327900.00067730.04082601470.0000052.1525437139

170.003014600.000133128050.005553368250.0167925137550.0017901144710.224518700.00071821000.000005313046173.01E-0300.00013310.44386422980.00555331.07999050560.01679252.17659624970.00179012.3609804380.224518700.00071820.01582403670.00000532.0644038294

180.003140400.000140715780.0056821730.01777139720.0018632128260.237709600.0007591520.000005613511183.14E-0300.00014070.24970329930.005680.34385631770.017772.21093440940.00186322.09259450610.237709600.00075910.00822849910.00000562.1379856001

190.003266200.00014838340.00580675630.0187475142540.0019363114190.250900500.0008150.000005913146193.27E-0300.00014830.13197246620.00580670.08908932670.01874752.25555819290.00193631.86303887930.250900500.00080.00237360550.00000592.0802278661

200.00339200.00015593990.00593331250.019725142950.0020093100060.264091300.000840970.000006212244203.39E-0300.00015590.06313790650.00593330.01978004590.0197252.26204604790.00200931.63250433710.264091300.00084090.00110768260.00000621.937495055

210.003517800.00016352090.00606310.0207025145080.002082487660.277282200.000881830.000006512620213.52E-0300.00016350.03307223670.006060.00490545140.02070252.29575124610.00208241.43019518480.277282200.00088180.00047472110.00000651.996993433

220.003643600.0001711900.006186740.02168142110.002155576860.290473100.000922750.000006812536223.64E-0300.00017110.0142416330.00618670.00063296150.021682.24875385710.00215551.25399043930.290473100.00092270.00079120180.00000681.9837012422

230.003769400.0001787430.006313310.0226575139730.002228566350.303663900.000963700.000007112732233.77E-0300.00017870.00680433580.00631330.00015824040.02265752.21109264970.00222851.08251711740.303663900.000963700.00000712.0147163541

240.003895200.0001864110.0064400.023635139320.002301657770.316854800.001004600.000007412520243.90E-0300.00018640.0017406440.0064400.0236352.20460479470.00230160.94253223620.316854800.001004600.00000741.9811693963

250.00402100.00019440.006566700.0246125141500.002374753220.330045700.001045500.000007712976254.02E-0300.0001940.00063296150.006566700.02461252.23910119470.00237470.86829782950.330045700.001045500.00000772.0533270037

260.004146800.000201600.006693300.02559140110.002447745240.343236500.001086400.00000812589264.15E-0300.000201600.006693300.025592.21710578370.00244770.73810210090.343236500.001086400.0000081.9920879816

270.004272600.000209200.0068200.0265675141800.002520840480.356427400.001127300.000008311967274.27E-0300.000209200.0068200.02656752.24384840570.00252080.66044149080.356427400.001127300.00000831.8936624733

280.004398400.000216800.006946700.027545143600.002593936100.369618300.001168200.000008612287284.40E-0300.000216800.006946700.0275452.27233167180.00259390.58898067730.369618300.001168200.00000861.9442993908

290.004524200.000224400.007073300.0285225138040.002666929460.382809100.001209100.000008911657294.52E-0300.000224400.007073300.02852252.18435002770.00266690.48064738930.382809100.001209100.00000891.8446079595

300.0046500.00023200.007200.029595750.0027418760.39600.0012500.00000917307304.65E-0300.00023200.007200.02951.51515151520.002740.30607416910.39600.0012500.00000911.1562623625

379170379170379170379170367754379170379170379170

0.5-SD0.5-SD


10.001001800.00001143480.003526700.001152500.000621179620.01346494835660.0000637148120.00000051392711.00E-0300.00001140.04207115830.003526700.001152500.00062110.98054790980.013464958.4602923220.00006371.79068389810.00000051.6836925904

20.001127600.00001917420.003653300.0021330.0006941116360.0266557127360.0001046373900.00000081754921.13E-0300.0000190.21059757970.003653300.002130.00036268310.00069411.43301375010.02665571.5397076780.00010464.52023163320.00000082.1215711402

30.001253420.000026665210.0037800.003107517340.0007672157980.039846600.0001455690210.00000111648231.25E-030.00024178830.00002660.78835064130.0037800.00310750.2096308490.00076721.94557848260.039846600.00014558.34423395430.00000111.9925771002

40.0013792181210.0000342196870.003906700.00408558540.0008403202760.053037500.0001864888790.00000141639941.38E-032.19072258420.00003422.38004279650.003906700.0040850.70771568060.00084032.4970597110.053037500.000186410.74494964760.00000141.9825428872

50.0015052982390.0000418435170.004033300.005062572510.0009133239980.066228300.0002273943810.00000171664551.51E-0336.05534533410.00004185.26094998610.004033300.00506250.87660512470.00091332.95543691770.066228300.000227311.41010916740.00000172.0122828439

60.00163081764240.0000494724830.0041600.0060487980.0009864291690.079419200.0002682813480.0000021532961.63E-0321.32862652180.00004948.76276944280.0041600.006041.06362872530.00098643.59226349920.079419200.00026829.83449593190.0000021.8531861649

70.001756635140.000057933200.004286700.0070175104220.0010595345090.092610100.0003091573320.00000231544971.76E-030.42482198340.00005711.28184049230.004286700.00701751.25996119290.00105954.24990301660.092610100.00030916.93110243360.00000231.8676934608

80.001882420.0000646962410.004413300.007995126670.0011325379130.105800900.0003501309480.00000261612981.88E-030.00024178830.000064611.63497225480.004413300.0079951.53136906840.00113254.66911742070.105800900.00035013.74143162830.00000261.9499014713

90.002008200.0000722777150.00454900.0089725140000.0012056394750.118991800.000391138070.00000291605692.01E-0300.00007229.39528754670.004540.0108804720.00897251.69252127240.00120564.86148313720.118991800.0003911.66918529440.00000291.9410761996

100.00213400.0000798482360.004666761950.00995148120.0012787410370.132182700.000431955200.000003214967102.13E-0300.00007985.83144939980.00466670.7489391540.009951.79068750620.00127875.05384885370.132182700.00043190.66733561420.00000321.8094224887

110.002259800.0000874236770.0047933671620.0109275163640.0013517410370.145373500.000472820750.000003516488112.26E-0300.00008742.86241038720.00479338.11949176110.01092751.97831557870.00135175.05384885370.145373500.00047280.2508553260.00000351.993302465

120.002385600.000095189230.004921792290.011905170860.0014248392640.158564400.00051376570.000003817479122.39E-0300.00009511.07873834880.0049221.66773456480.0119052.06560131860.00142484.83549775550.158564400.00051370.07942744540.00000382.1131085508

130.002511400.000102729900.00504671721150.0128825180460.0014979352550.171755300.00055461200.000004117227132.51E-0300.00010270.36147345770.005046720.80769370260.01288252.18165992010.00149794.34177550350.171755300.00055460.0145072960.00000412.0826432293

140.002637200.00011037710.0051733630950.01386186290.0015709291970.184946100.0005955120.000004417741142.64E-0300.00011030.09320937650.00517337.62781532210.013862.25214134160.00157093.59571179630.184946100.00059550.00145072960.00000442.1447828137

150.00276300.00011791040.005380230.0148375189380.001644225380.19813700.000636400.000004717933152.76E-0300.00011790.01257298980.00530.96993362910.01483752.2894977040.0016442.77563285490.19813700.000636400.00000472.1679944872

160.002888800.0001255210.00542673880.015815196660.0017171160350.211327900.000677300.00000517347162.89E-0300.00012550.00253877680.00542670.04690692360.0158152.37750881020.00171711.97476585450.211327900.000677300.0000052.0971505253

170.003014600.000133160.005553350.0167925199430.0017901118340.224518700.000718200.000005316411173.01E-0300.00013310.00072536480.00555330.00060447070.01679252.41099655250.00179011.45739813670.224518700.000718200.00000531.9839936168

180.003140400.000140700.0056800.01777204020.001863284780.237709600.000759100.000005616825183.14E-0300.000140700.0056800.017772.46648707140.00186321.04409509910.237709600.000759100.00000562.0340437879

190.003266200.000148300.005806700.0187475220590.001936357810.250900500.000800.000005916670193.27E-0300.000148300.005806700.01874752.66680905340.00193630.71195019670.250900500.000800.00000592.0153051972

200.00339200.000155900.005933300.019725222020.002009337730.264091300.000840900.000006216538203.39E-0300.000155900.005933300.0197252.68409694920.00200930.46465803360.264091300.000840900.00000621.9993471717

210.003517800.000163500.0060600.0207025217690.002082427640.277282200.000881800.000006517110213.52E-0300.000163500.0060600.02070252.63174968420.00208240.34039618470.277282200.000881800.00000652.0684986158

220.003643600.000171100.006186700.02168221370.002155518560.290473100.000922700.000006817190223.64E-0300.000171100.006186700.021682.67623881480.00215550.2285728360.290473100.000922700.00000682.0781701464

230.003769400.000178700.006313300.0226575226030.002228514110.303663900.000963700.000007117136233.77E-0300.000178700.006313300.02265752.73257559420.00222850.17376954290.303663900.000963700.00000712.0716418632

240.003895200.000186400.0064400.023635239550.002301610810.316854800.001004600.000007416518243.90E-0300.000186400.0064400.0236352.89602479140.00230160.13312889860.316854800.001004600.00000741.996929289

250.00402100.00019400.006566700.0246125243590.00237478620.330045700.001045500.000007716723254.02E-0300.00019400.006566700.02461252.94486611960.00237470.10615828920.330045700.001045500.00000772.0217125863

260.004146800.000201600.006693300.02559237730.00244778630.343236500.001086400.00000817045264.15E-0300.000201600.006693300.025592.87402201490.00244770.10628144260.343236500.001086400.0000082.0606404971

270.004272600.000209200.0068200.0265675242630.00252089220.356427400.001127300.000008316450274.27E-0300.000209200.0068200.02656752.93326025940.00252080.11354749720.356427400.001127300.00000831.988708488

280.004398400.000216800.006946700.027545239700.00259399180.369618300.001168200.000008617558284.40E-0300.000216800.006946700.0275452.89783820710.00259390.11305488330.369618300.001168200.00000862.1226591873

290.004524200.000224400.007073300.0285225229410.00266698510.382809100.001209100.000008917975294.52E-0300.000224400.007073300.02852252.77343789350.00266690.1048036010.382809100.001209100.00000892.1730720408

300.0046500.00023200.007200.0295176550.002747040.39600.0012500.000009113006304.65E-0300.00023200.007200.02952.13439021880.002740.08670004130.39600.0012500.00000911.5723490939

496302496302496302496301487197496302496302496302

pools

2.0-SD2.0-SD

No.X1X1X2X2X3X3X4X4X5X5X6X6X7X7X8X8No.X1X1X2X2X3X3X4X4X5X5X6X6X7X7X8X8

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28805.333313639562.6669922876463.3333435191176302048126354.666656503825.333252691623.33337410428805.3333130.0093141769562.66699220.1296030537463.33334350.002809154911760.004435791920480.0245310386354.666656503825.3332520.01020119011623.3333740.0153761994

29827.666687179711.3330078360471.666656510121821209999367.333343523922.666748181661.6666263829827.6666870.00251334919711.33300780.0532615289471.66665650.001478502612180.003105054320990.0192743875367.33334350.00029568673922.6667480.002661181661.6666260.0056182267

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405833405546405816405790308181405835405835405822

1.0-SD1.0-SD

No.X1X1X2X2X3X3X4X4X5X5X6X6X7X7X8X8No.X1X1X2X2X3X3X4X4X5X5X6X6X7X7X8X8

1202.333328205548.66650390238.333328204206712096512.66666701197.3333740588.33331301202.333328205548.66650390238.333328204206713.749530526212.66666701197.3333740588.3333130

2224.666671805697.33349610246.66667180841270977222741225.33333401294.6666260626.66668702224.666671805697.33349610246.666671808420.07095801217224.902558110425.33333401294.6666260626.6666870

3247058460255012696659773329573801392066503247058460255012615.2642370047735.8942655642380139206650

4269.333343505994.66650390263.33334350168518818243731750.666667901489.3333740703.33331304269.333343505994.66650390263.333343501688.1929657878246.674039143750.666667901489.3333740703.3333130

5291.666656506143.33349611271.66665650210305258753899263.3333321241586.6666260741.66668715291.666656506143.33349610.0001579184271.666656502104.82045991118756.97360812263.33333210.00379004221586.6666260741.6666870.0001579184

6314062928280125220793926383267693516840780206314062920.00126334742800.00015791842523.28359780289266