Chapter 4 Soil Water

4.1 Aim of this document

  1. Explore the soil water data
  2. Try if multiple change point analysis could help to estimate DULs or CLLs
  3. Try if nls can help estimate the KLs

4.2 Experiment details

The experiment detailed in (Sim 2014) thesis. Here is a short description to note.

  1. 2 years experiment.
  2. 2 sites
    1. Lincoln Uni
    2. Ashely Dene
  3. 10 sowing date in both sites 4.1.
    1. five sowing date in the first year
    2. five sowing date in second year
Year 1 (Seedling crop) Year 2 (Seedling & Regrowth)
SD1, SD2, SD3, SD4, SD5 The first five sowing date Regrowth
SD6, SD7, SD8, SD9, SD10

Note: The setup helps to compare the seedling and regrowth in the same conditions in Year 2.

  1. 1 cultivar.
  2. 4 reps each site.
  3. 2 soil types
    1. stone free - plant available water capaciy (PAWC) 360mm/2.3m
    2. stony - PAWC 240/2.3m This type is for a grazing trial. probably not a good idea for a starting?
    3. very stony 130mm/2.3m
  4. 22 layers of soil water measurements - 10 cm interval below top 20 cm
    1. top 20 cm was measured by TDR.
    2. remaining 21 layers was meastured by Neutron probe
  5. 1 follow treat in both sites - absolute soil evaporation
Table 4.1: Sowing dates details in two sites.
SowingDate Experiment Clock.Today
SD1 AshleyDene 2010-10-21
SD2 AshleyDene 2010-11-09
SD3 AshleyDene 2010-12-08
SD4 AshleyDene 2011-01-13
SD5 AshleyDene 2011-02-03
SD6 AshleyDene 2011-10-10
SD7 AshleyDene 2011-11-07
SD8 AshleyDene 2011-12-09
SD9 AshleyDene 2012-01-10
SD10 AshleyDene 2012-02-17
SowingDate Experiment Clock.Today
SD1 Iversen12 2010-10-04
SD2 Iversen12 2010-11-04
SD3 Iversen12 2010-12-02
SD4 Iversen12 2011-01-10
SD5 Iversen12 2011-02-07
SD6 Iversen12 2011-10-10
SD7 Iversen12 2011-11-07
SD8 Iversen12 2011-12-09
SD9 Iversen12 2012-01-10
SD10 Iversen12 2012-02-17

4.3 EDA

First Layer

Figure 4.1 shows the relative SW measurements in each layer and scatter plot.

Soil water measurements in each layer in relation to the layer DULs

Figure 4.1: Soil water measurements in each layer in relation to the layer DULs

Subset the autumn rain.

Ashley Dene, soil water measurements in each layer in relation to the layer DULs

Figure 4.2: Ashley Dene, soil water measurements in each layer in relation to the layer DULs

Ashley Dene, hist relative SW

Figure 4.3: Ashley Dene, hist relative SW

4.4 Multiple change point analysis

4.4.1 Try a simple model

Define a model for multiple change points analysis

Red line is the mean.
Black line is the measured value at the closet date to obtain the mean value.

Table 4.2: Asheley Dene SD1 first attempt results.
name mean lower upper Rhat n.eff
cp_1 371.6412914 361.0056183 384.8509115 1.003265 267
cp_2 462.6757955 448.7263634 476.8913656 1.001601 405
DAS_2 -0.0021432 -0.0027154 -0.0016747 1.001052 602
int_1 0.8768712 0.8672161 0.8869875 1.000563 2932
sigma_1 0.0937973 0.0886592 0.0990784 1.000865 5078

Table 4.3: Asheley Dene SD1 layer 2 first attempt results.
name mean lower upper Rhat n.eff
cp_1 303.7125178 250.4403797 367.0993770 1.023905 209
cp_2 462.9178089 427.8712703 509.1459885 1.003917 351
DAS_2 -0.0025036 -0.0039769 -0.0013820 1.001237 737
int_1 0.9094957 0.8522151 0.9652771 1.003278 1297
sigma_1 0.0900229 0.0655653 0.1178804 1.001022 2413
Table 4.4: Asheley Dene SD1 layer 13 first attempt results.
name mean lower upper Rhat n.eff
cp_1 369.8261695 335.7796515 400.1474391 1.018594 394
cp_2 490.6258557 449.5019927 538.6340646 1.004814 615
DAS_2 -0.0017426 -0.0026473 -0.0009786 1.009993 806
int_1 0.9381038 0.9147496 0.9623950 1.002418 2935
sigma_1 0.0460544 0.0338486 0.0601993 1.000567 2696

4.4.2 Forming a function

4.4.3 Test the function

Visualise the mcp results.

Figure 4.4: Visualise the mcp results.

4.4.4 Make a loop

Go through all layers and estimate a DUL.

4.5 What are the estimated DULs?

Table 4.5: Estimated DUL in VWC.
Experiment SowingDate Clock.Today DAS Depth SW DUL relativeSW esti_DUL posterior_DUL
AshleyDene SD1 2011-06-25 247 1 0.266 0.270 0.9851852 0.8711012 0.2351973
AshleyDene SD2 2011-08-11 275 1 0.230 0.275 0.8363636 0.8634692 0.2374540
AshleyDene SD3 2011-07-28 232 1 0.278 0.278 1.0000000 0.8893197 0.2472309
AshleyDene SD4 2011-07-28 196 1 0.300 0.300 1.0000000 0.8985385 0.2695615
AshleyDene SD5 2011-07-28 175 1 0.280 0.283 0.9893993 0.9055857 0.2562808
AshleyDene SD6 2011-11-28 49 1 0.179 0.259 0.6911197 0.6770156 0.1753470
AshleyDene SD7 2012-01-05 59 1 0.110 0.276 0.3985507 0.6381906 0.1761406
AshleyDene SD8 2012-02-01 54 1 0.122 0.253 0.4822134 0.6056166 0.1532210
AshleyDene SD9 2012-02-15 36 1 0.216 0.270 0.8000000 0.6825985 0.1843016
AshleyDene SD10 2012-03-14 510 1 0.187 0.284 0.6584507 0.7509747 0.2132768
AshleyDene SD1 2011-08-25 308 2 0.187 0.194 0.9639175 0.9079696 0.1761461
AshleyDene SD2 2011-09-07 302 2 0.189 0.221 0.8552036 0.8909844 0.1969076
AshleyDene SD3 2011-08-11 246 2 0.188 0.212 0.8867925 0.9336633 0.1979366
AshleyDene SD4 2011-08-11 210 2 0.222 0.243 0.9135802 0.9256739 0.2249388
AshleyDene SD5 2011-08-11 189 2 0.187 0.206 0.9077670 0.9469118 0.1950638
AshleyDene SD6 2011-11-16 37 2 0.162 0.172 0.9418605 0.9244556 0.1590064
AshleyDene SD7 2011-12-12 35 2 0.210 0.210 1.0000000 0.9111742 0.1913466
AshleyDene SD8 2012-02-01 54 2 0.111 0.168 0.6607143 0.6642793 0.1115989
AshleyDene SD9 2012-02-15 36 2 0.193 0.235 0.8212766 0.8227393 0.1933437
AshleyDene SD10 2012-03-14 510 2 0.212 0.239 0.8870293 0.8644326 0.2065994
AshleyDene SD1 2011-08-11 294 3 0.140 0.158 0.8860759 0.8889579 0.1404554
AshleyDene SD2 2011-08-25 289 3 0.163 0.168 0.9702381 0.9108850 0.1530287
AshleyDene SD3 2011-08-11 246 3 0.149 0.166 0.8975904 0.9047956 0.1501961
AshleyDene SD4 2011-08-11 210 3 0.166 0.181 0.9171271 0.9312867 0.1685629
AshleyDene SD5 2011-07-28 175 3 0.161 0.162 0.9938272 0.9521006 0.1542403
AshleyDene SD6 2011-11-28 49 3 0.122 0.133 0.9172932 0.9086309 0.1208479
AshleyDene SD7 2011-12-12 35 3 0.159 0.159 1.0000000 0.8999768 0.1430963
AshleyDene SD8 2012-02-01 54 3 0.104 0.140 0.7428571 0.7065857 0.0989220
AshleyDene SD9 2012-02-15 36 3 0.135 0.169 0.7988166 0.8302652 0.1403148
AshleyDene SD10 2012-03-14 510 3 0.166 0.182 0.9120879 0.8855386 0.1611680
AshleyDene SD1 2011-08-11 294 4 0.115 0.135 0.8518519 0.8576139 0.1157779
AshleyDene SD2 2011-08-11 275 4 0.122 0.135 0.9037037 0.8612961 0.1162750
AshleyDene SD3 2011-08-11 246 4 0.129 0.143 0.9020979 0.8903826 0.1273247
AshleyDene SD4 2011-08-11 210 4 0.132 0.151 0.8741722 0.9018108 0.1361734
AshleyDene SD5 2011-07-28 175 4 0.144 0.144 1.0000000 0.9267012 0.1334450
AshleyDene SD6 2011-11-28 49 4 0.106 0.108 0.9814815 0.9439190 0.1019433
AshleyDene SD7 2011-12-12 35 4 0.134 0.134 1.0000000 0.9384451 0.1257516
AshleyDene SD8 2012-02-01 54 4 0.096 0.118 0.8135593 0.7925231 0.0935177
AshleyDene SD9 2012-02-15 36 4 0.107 0.129 0.8294574 0.8673392 0.1118868
AshleyDene SD10 2012-03-14 510 4 0.121 0.134 0.9029851 0.8796950 0.1178791
AshleyDene SD1 2011-08-25 308 5 0.112 0.118 0.9491525 0.8609397 0.1015909
AshleyDene SD2 2011-08-25 289 5 0.113 0.121 0.9338843 0.8553873 0.1035019
AshleyDene SD3 2011-08-11 246 5 0.117 0.133 0.8796992 0.8743647 0.1162905
AshleyDene SD4 2011-07-28 196 5 0.129 0.129 1.0000000 0.8917731 0.1150387
AshleyDene SD5 2011-07-28 175 5 0.126 0.126 1.0000000 0.9249273 0.1165408
AshleyDene SD6 2011-11-28 49 5 0.094 0.102 0.9215686 0.9113151 0.0929541
AshleyDene SD7 2011-12-23 46 5 0.119 0.121 0.9834711 0.9465038 0.1145270
AshleyDene SD8 2012-02-01 54 5 0.089 0.108 0.8240741 0.8134068 0.0878479
AshleyDene SD9 2012-02-15 36 5 0.097 0.116 0.8362069 0.8460738 0.0981446
AshleyDene SD10 2012-03-14 510 5 0.097 0.117 0.8290598 0.8108485 0.0948693
AshleyDene SD1 2011-09-07 321 6 0.098 0.114 0.8596491 0.8390241 0.0956487
AshleyDene SD2 2011-08-25 289 6 0.112 0.118 0.9491525 0.8601223 0.1014944
AshleyDene SD3 2011-08-25 260 6 0.110 0.119 0.9243697 0.8843609 0.1052389
AshleyDene SD4 2011-08-11 210 6 0.104 0.120 0.8666667 0.8864665 0.1063760
AshleyDene SD5 2011-07-28 175 6 0.114 0.114 1.0000000 0.9316352 0.1062064
AshleyDene SD6 2011-12-23 74 6 0.090 0.103 0.8737864 0.8656877 0.0891658
AshleyDene SD7 2011-12-12 35 6 0.118 0.118 1.0000000 0.9094659 0.1073170
AshleyDene SD8 2012-03-14 96 6 0.089 0.105 0.8476190 0.8564251 0.0899246
AshleyDene SD9 2012-02-15 36 6 0.093 0.106 0.8773585 0.8642101 0.0916063
AshleyDene SD10 2012-02-28 495 6 0.082 0.111 0.7387387 0.7750794 0.0860338
AshleyDene SD1 2011-09-07 321 7 0.100 0.111 0.9009009 0.8738736 0.0970000
AshleyDene SD2 2011-09-07 302 7 0.100 0.112 0.8928571 0.8442929 0.0945608
AshleyDene SD3 2011-09-07 273 7 0.108 0.127 0.8503937 0.8558332 0.1086908
AshleyDene SD4 2011-08-25 224 7 0.102 0.114 0.8947368 0.8901250 0.1014743
AshleyDene SD5 2011-08-11 189 7 0.096 0.110 0.8727273 0.9151733 0.1006691
AshleyDene SD6 2011-12-23 74 7 0.091 0.102 0.8921569 0.8907106 0.0908525
AshleyDene SD7 2011-12-23 46 7 0.106 0.108 0.9814815 0.9265198 0.1000641
AshleyDene SD8 2012-03-14 96 7 0.089 0.101 0.8811881 0.8925748 0.0901501
AshleyDene SD9 2012-02-15 36 7 0.096 0.101 0.9504950 0.9158973 0.0925056
AshleyDene SD10 2012-02-28 495 7 0.079 0.106 0.7452830 0.7763188 0.0822898
AshleyDene SD1 2011-09-21 335 8 0.096 0.115 0.8347826 0.8620540 0.0991362
AshleyDene SD2 2011-09-21 316 8 0.091 0.108 0.8425926 0.8453102 0.0912935
AshleyDene SD3 2011-09-21 287 8 0.096 0.117 0.8205128 0.8689042 0.1016618
AshleyDene SD4 2011-09-07 237 8 0.100 0.114 0.8771930 0.8936928 0.1018810
AshleyDene SD5 2011-08-25 203 8 0.098 0.106 0.9245283 0.9035027 0.0957713
AshleyDene SD6 2012-01-05 87 8 0.092 0.099 0.9292929 0.9391407 0.0929749
AshleyDene SD7 2011-12-23 46 8 0.096 0.099 0.9696970 0.9625966 0.0952971
AshleyDene SD8 2012-02-01 54 8 0.088 0.097 0.9072165 0.9097916 0.0882498
AshleyDene SD9 2012-02-15 36 8 0.093 0.100 0.9300000 0.9395436 0.0939544
AshleyDene SD10 2012-02-28 495 8 0.075 0.107 0.7009346 0.7301360 0.0781245
AshleyDene SD1 2011-09-07 321 9 0.100 0.115 0.8695652 0.8317563 0.0956520
AshleyDene SD2 2011-10-07 332 9 0.087 0.102 0.8529412 0.8722826 0.0889728
AshleyDene SD3 2011-09-21 287 9 0.088 0.107 0.8224299 0.8819304 0.0943665
AshleyDene SD4 2011-09-21 251 9 0.094 0.111 0.8468468 0.9071477 0.1006934
AshleyDene SD5 2011-08-25 203 9 0.098 0.108 0.9074074 0.9052591 0.0977680
AshleyDene SD6 2011-11-16 37 9 0.099 0.099 1.0000000 0.9912538 0.0981341
AshleyDene SD7 2011-12-23 46 9 0.098 0.100 0.9800000 0.9618528 0.0961853
AshleyDene SD8 2012-02-01 54 9 0.093 0.097 0.9587629 0.9537394 0.0925127
AshleyDene SD9 2012-02-15 36 9 0.096 0.098 0.9795918 0.9698677 0.0950470
AshleyDene SD10 2012-02-28 495 9 0.083 0.117 0.7094017 0.7258004 0.0849186
AshleyDene SD1 2011-09-21 335 10 0.096 0.110 0.8727273 0.8552971 0.0940827
AshleyDene SD2 2011-10-07 332 10 0.082 0.101 0.8118812 0.8465478 0.0855013
AshleyDene SD3 2011-10-07 303 10 0.080 0.104 0.7692308 0.8748482 0.0909842
AshleyDene SD4 2011-10-07 267 10 0.087 0.110 0.7909091 0.9033642 0.0993701
AshleyDene SD5 2011-09-21 230 10 0.094 0.104 0.9038462 0.9542720 0.0992443
AshleyDene SD6 2011-12-23 74 10 0.093 0.094 0.9893617 0.9965457 0.0936753
AshleyDene SD7 2011-12-23 46 10 0.098 0.101 0.9702970 0.9592613 0.0968854
AshleyDene SD8 2012-02-01 54 10 0.096 0.096 1.0000000 0.9695410 0.0930759
AshleyDene SD9 2012-02-15 36 10 0.092 0.101 0.9108911 0.9348097 0.0944158
AshleyDene SD10 2012-02-28 495 10 0.101 0.118 0.8559322 0.8765700 0.1034353
AshleyDene SD1 2011-10-07 351 11 0.087 0.106 0.8207547 0.8759977 0.0928558
AshleyDene SD2 2011-10-21 346 11 0.101 0.101 1.0000000 0.8877198 0.0896597
AshleyDene SD3 2011-10-21 317 11 0.104 0.105 0.9904762 0.8887770 0.0933216
AshleyDene SD4 2011-10-07 267 11 0.089 0.109 0.8165138 0.9060926 0.0987641
AshleyDene SD5 2011-09-21 230 11 0.091 0.111 0.8198198 0.9155996 0.1016316
AshleyDene SD6 2011-11-28 49 11 0.093 0.093 1.0000000 0.9762487 0.0907911
AshleyDene SD7 2011-12-23 46 11 0.099 0.102 0.9705882 0.9349635 0.0953663
AshleyDene SD8 2012-02-01 54 11 0.092 0.096 0.9583333 0.9704319 0.0931615
AshleyDene SD9 2012-02-15 36 11 0.094 0.101 0.9306931 0.9506124 0.0960119
AshleyDene SD10 2012-03-14 510 11 0.107 0.116 0.9224138 0.9016869 0.1045957
AshleyDene SD1 2011-10-21 365 12 0.116 0.116 1.0000000 0.8760506 0.1016219
AshleyDene SD2 2011-10-21 346 12 0.111 0.111 1.0000000 0.8540743 0.0948022
AshleyDene SD3 2011-11-03 330 12 0.102 0.109 0.9357798 0.8835943 0.0963118
AshleyDene SD4 2011-11-03 294 12 0.103 0.116 0.8879310 0.8932957 0.1036223
AshleyDene SD5 2011-10-07 246 12 0.090 0.108 0.8333333 0.9282329 0.1002492
AshleyDene SD6 2011-11-16 37 12 0.089 0.090 0.9888889 0.9887894 0.0889910
AshleyDene SD7 2011-12-23 46 12 0.094 0.097 0.9690722 0.9244187 0.0896686
AshleyDene SD8 2012-02-01 54 12 0.094 0.096 0.9791667 0.9747399 0.0935750
AshleyDene SD9 2012-02-15 36 12 0.096 0.098 0.9795918 0.9677238 0.0948369
AshleyDene SD10 2012-03-14 510 12 0.095 0.112 0.8482143 0.8297503 0.0929320
AshleyDene SD1 2011-10-21 365 13 0.114 0.114 1.0000000 0.9377494 0.1069034
AshleyDene SD2 2011-11-03 359 13 0.107 0.120 0.8916667 0.8644834 0.1037380
AshleyDene SD3 2011-11-03 330 13 0.106 0.115 0.9217391 0.9053299 0.1041129
AshleyDene SD4 2011-11-03 294 13 0.107 0.121 0.8842975 0.8981937 0.1086814
AshleyDene SD5 2011-09-07 216 13 0.099 0.110 0.9000000 0.9282340 0.1021057
AshleyDene SD6 2011-11-28 49 13 0.089 0.089 1.0000000 0.9941954 0.0884834
AshleyDene SD7 2012-01-05 59 13 0.088 0.094 0.9361702 0.9147334 0.0859849
AshleyDene SD8 2012-02-01 54 13 0.100 0.103 0.9708738 0.9446897 0.0973030
AshleyDene SD9 2012-02-28 49 13 0.094 0.104 0.9038462 0.9118414 0.0948315
AshleyDene SD10 2012-02-28 495 13 0.083 0.107 0.7757009 0.7963785 0.0852125
AshleyDene SD1 2011-10-07 351 14 0.112 0.130 0.8615385 0.9026321 0.1173422
AshleyDene SD2 2011-11-03 359 14 0.112 0.123 0.9105691 0.8693429 0.1069292
AshleyDene SD3 2011-11-16 343 14 0.106 0.117 0.9059829 0.9278416 0.1085575
AshleyDene SD4 2011-11-03 294 14 0.110 0.117 0.9401709 0.9281790 0.1085969
AshleyDene SD5 2011-10-07 246 14 0.099 0.114 0.8684211 0.9132669 0.1041124
AshleyDene SD6 2011-12-23 74 14 0.089 0.090 0.9888889 0.9898369 0.0890853
AshleyDene SD7 2011-12-23 46 14 0.092 0.098 0.9387755 0.9219439 0.0903505
AshleyDene SD8 2012-02-01 54 14 0.104 0.110 0.9454545 0.9239750 0.1016372
AshleyDene SD9 2012-02-15 36 14 0.100 0.111 0.9009009 0.8983505 0.0997169
AshleyDene SD10 2012-02-28 495 14 0.085 0.103 0.8252427 0.8526758 0.0878256
AshleyDene SD1 2011-10-21 365 15 0.138 0.138 1.0000000 0.8911570 0.1229797
AshleyDene SD2 2011-11-03 359 15 0.108 0.114 0.9473684 0.9150701 0.1043180
AshleyDene SD3 2011-11-16 343 15 0.106 0.117 0.9059829 0.9134324 0.1068716
AshleyDene SD4 2011-11-28 319 15 0.110 0.116 0.9482759 0.9374806 0.1087478
AshleyDene SD5 2011-09-07 216 15 0.105 0.119 0.8823529 0.9063893 0.1078603
AshleyDene SD6 2011-11-16 37 15 0.098 0.098 1.0000000 0.9805949 0.0960983
AshleyDene SD7 2011-12-23 46 15 0.098 0.102 0.9607843 0.9557293 0.0974844
AshleyDene SD8 2012-02-01 54 15 0.104 0.109 0.9541284 0.9397839 0.1024364
AshleyDene SD9 2012-02-15 36 15 0.106 0.117 0.9059829 0.9088237 0.1063324
AshleyDene SD10 2012-02-28 495 15 0.090 0.108 0.8333333 0.8640512 0.0933175
AshleyDene SD1 2011-11-03 378 16 0.127 0.134 0.9477612 0.9053418 0.1213158
AshleyDene SD2 2011-11-16 372 16 0.100 0.109 0.9174312 0.9085387 0.0990307
AshleyDene SD3 2011-11-16 343 16 0.106 0.114 0.9298246 0.9176352 0.1046104
AshleyDene SD4 2011-09-21 251 16 0.112 0.120 0.9333333 0.9349603 0.1121952
AshleyDene SD5 2011-11-03 273 16 0.107 0.117 0.9145299 0.9242860 0.1081415
AshleyDene SD6 2011-11-28 49 16 0.098 0.099 0.9898990 0.9878017 0.0977924
AshleyDene SD7 2012-01-05 59 16 0.102 0.108 0.9444444 0.9108071 0.0983672
AshleyDene SD8 2012-02-01 54 16 0.104 0.109 0.9541284 0.9588555 0.1045153
AshleyDene SD9 2012-02-15 36 16 0.104 0.121 0.8595041 0.8912798 0.1078449
AshleyDene SD10 2012-02-28 495 16 0.093 0.113 0.8230088 0.8473090 0.0957459
AshleyDene SD1 2011-11-03 378 17 0.119 0.126 0.9444444 0.9264007 0.1167265
AshleyDene SD2 2011-11-16 372 17 0.099 0.108 0.9166667 0.9154649 0.0988702
AshleyDene SD3 2011-11-28 355 17 0.104 0.114 0.9122807 0.9271845 0.1056990
AshleyDene SD4 2011-08-25 224 17 0.118 0.122 0.9672131 0.9419241 0.1149147
AshleyDene SD5 2011-11-03 273 17 0.106 0.116 0.9137931 0.9185768 0.1065549
AshleyDene SD6 2011-11-28 49 17 0.106 0.106 1.0000000 0.9890311 0.1048373
AshleyDene SD7 2011-12-23 46 17 0.106 0.106 1.0000000 0.9642898 0.1022147
AshleyDene SD8 2012-02-01 54 17 0.108 0.108 1.0000000 0.9733259 0.1051192
AshleyDene SD9 2012-02-15 36 17 0.107 0.113 0.9469027 0.9447644 0.1067584
AshleyDene SD10 2012-02-28 495 17 0.094 0.111 0.8468468 0.8602768 0.0954907
AshleyDene SD1 2011-10-07 351 18 0.108 0.128 0.8437500 0.8765000 0.1121920
AshleyDene SD2 2011-11-16 372 18 0.106 0.112 0.9464286 0.9114091 0.1020778
AshleyDene SD3 2011-11-03 330 18 0.108 0.113 0.9557522 0.9491953 0.1072591
AshleyDene SD4 2011-10-21 281 18 0.120 0.123 0.9756098 0.9661329 0.1188343
AshleyDene SD5 2011-11-03 273 18 0.110 0.115 0.9565217 0.9454187 0.1087232
AshleyDene SD6 2012-01-05 87 18 0.104 0.104 1.0000000 0.9809675 0.1020206
AshleyDene SD7 2011-12-23 46 18 0.106 0.108 0.9814815 0.9764324 0.1054547
AshleyDene SD8 2012-02-01 54 18 0.105 0.108 0.9722222 0.9612016 0.1038098
AshleyDene SD9 2012-02-15 36 18 0.100 0.106 0.9433962 0.9393669 0.0995729
AshleyDene SD10 2012-02-28 495 18 0.098 0.110 0.8909091 0.9147990 0.1006279
AshleyDene SD1 2011-10-21 365 19 0.119 0.122 0.9754098 0.8962131 0.1093380
AshleyDene SD2 2011-11-16 372 19 0.110 0.115 0.9565217 0.9271449 0.1066217
AshleyDene SD3 2011-11-16 343 19 0.115 0.120 0.9583333 0.9429434 0.1131532
AshleyDene SD4 2012-01-05 357 19 0.122 0.122 1.0000000 0.9670123 0.1179755
AshleyDene SD5 2011-11-16 286 19 0.108 0.109 0.9908257 0.9718222 0.1059286
AshleyDene SD6 2011-11-08 29 19 0.102 0.102 1.0000000 0.9953139 0.1015220
AshleyDene SD7 2011-12-23 46 19 0.109 0.111 0.9819820 0.9485304 0.1052869
AshleyDene SD8 2012-02-01 54 19 0.106 0.115 0.9217391 0.9502103 0.1092742
AshleyDene SD9 2012-02-28 49 19 0.097 0.104 0.9326923 0.9231632 0.0960090
AshleyDene SD10 2012-02-28 495 19 0.100 0.113 0.8849558 0.9093216 0.1027533
AshleyDene SD1 2011-11-03 378 20 0.114 0.116 0.9827586 0.9224349 0.1070025
AshleyDene SD2 2011-11-28 384 20 0.107 0.114 0.9385965 0.9408366 0.1072554
AshleyDene SD3 2011-11-03 330 20 0.120 0.123 0.9756098 0.9537517 0.1173115
AshleyDene SD4 2011-11-16 307 20 0.112 0.117 0.9572650 0.9655799 0.1129728
AshleyDene SD5 2011-11-03 273 20 0.105 0.110 0.9545455 0.9378210 0.1031603
AshleyDene SD6 2011-12-23 74 20 0.099 0.102 0.9705882 0.9754350 0.0994944
AshleyDene SD7 2012-01-05 59 20 0.106 0.106 1.0000000 0.9740325 0.1032474
AshleyDene SD8 2012-02-01 54 20 0.120 0.123 0.9756098 0.9616868 0.1182875
AshleyDene SD9 2012-02-15 36 20 0.094 0.102 0.9215686 0.9369789 0.0955719
AshleyDene SD10 2012-02-28 495 20 0.103 0.115 0.8956522 0.9188230 0.1056646
AshleyDene SD1 2011-10-21 365 21 0.119 0.128 0.9296875 0.9000720 0.1152092
AshleyDene SD2 2011-12-12 398 21 0.117 0.118 0.9915254 0.9422535 0.1111859
AshleyDene SD3 2011-11-16 343 21 0.119 0.125 0.9520000 0.9412299 0.1176537
AshleyDene SD4 2011-12-12 333 21 0.114 0.117 0.9743590 0.9827490 0.1149816
AshleyDene SD5 2011-11-03 273 21 0.105 0.107 0.9813084 0.9732384 0.1041365
AshleyDene SD6 2011-12-23 74 21 0.104 0.108 0.9629630 0.9582693 0.1034931
AshleyDene SD7 2011-12-23 46 21 0.114 0.114 1.0000000 0.9543429 0.1087951
AshleyDene SD8 2012-02-01 54 21 0.122 0.130 0.9384615 0.9236297 0.1200719
AshleyDene SD9 2012-02-15 36 21 0.099 0.110 0.9000000 0.9014683 0.0991615
AshleyDene SD10 2012-02-28 495 21 0.109 0.119 0.9159664 0.9417276 0.1120656
AshleyDene SD1 2011-11-28 403 22 0.119 0.147 0.8095238 0.7537799 0.1108056
AshleyDene SD2 2011-12-23 409 22 0.120 0.120 1.0000000 0.9590655 0.1150879
AshleyDene SD3 2011-11-16 343 22 0.120 0.123 0.9756098 0.9642392 0.1186014
AshleyDene SD4 2011-11-28 319 22 0.114 0.118 0.9661017 0.9829357 0.1159864
AshleyDene SD5 2011-11-03 273 22 0.108 0.111 0.9729730 0.9538513 0.1058775
AshleyDene SD6 2012-01-05 87 22 0.107 0.114 0.9385965 0.9568633 0.1090824
AshleyDene SD7 2012-01-05 59 22 0.110 0.113 0.9734513 0.9662728 0.1091888
AshleyDene SD8 2012-02-01 54 22 0.123 0.125 0.9840000 0.9635270 0.1204409
AshleyDene SD9 2012-02-15 36 22 0.104 0.119 0.8739496 0.8666619 0.1031328
AshleyDene SD10 2012-02-28 495 22 0.114 0.123 0.9268293 0.9409003 0.1157307

4.5.1 How much different it made?

A comparison of three methods: average the max, mcp estimation and arbitrary 0.95 for estimating DULs

Figure 4.5: A comparison of three methods: average the max, mcp estimation and arbitrary 0.95 for estimating DULs

4.5.2 Output all graphs for inspections

lapply(list_AD_models$graphs, function(x){
   name <- unique(x$data[,c("Experiment", "SowingDate", "Depth")]) %>%
    unlist() %>%
    paste(., collapse = "-")
  ggsave(filename = here::here("<path>", paste0(name, ".png")), plot = x, 
         dpi = 300)
})

4.5.3 Model2

May or not worth to try a second model?

model_2 = list(
  relativeSW ~ 0 + DAS,  # plateau (int_1)
  ~ 1  ,       # joined slope (time_2) at cp_1, could be a exp decay function.
  ~ 0 + DAS
  
)
prior_2 = list(
  # Intercept should be between 0.5 and 1; less than 1
  ## Evidence in the hist above
  int_2 = "dnorm(0.7, 1) T(, 1)" 
)

4.6 The final version workflow for DUL, LL and SW via average max and min.

DUL AND LL CAN BE SOWINGDATES DEPEND - apsim is a point model.

Table 4.6: Initial soil parameters for 22 layers in 10 different sowing dates.
Experiment SowingDate Depth Clock.Today Season DAS PAWC DUL LL
AshleyDene SD1 1 2010-10-21 2010/11 0 26.000000 54.050000 12.650000
AshleyDene SD1 2 2010-10-21 2010/11 0 12.000000 19.350000 8.000000
AshleyDene SD1 3 2010-10-21 2010/11 0 10.000000 15.775000 7.450000
AshleyDene SD1 4 2010-10-21 2010/11 0 9.000000 13.525000 7.550000
AshleyDene SD1 5 2010-10-21 2010/11 0 10.237500 11.826762 6.875000
AshleyDene SD1 6 2010-10-21 2010/11 0 9.837500 11.425000 6.975000
AshleyDene SD1 7 2010-10-21 2010/11 0 9.987500 11.132101 7.025000
AshleyDene SD1 8 2010-10-21 2010/11 0 10.300000 11.525000 7.025000
AshleyDene SD1 9 2010-10-21 2010/11 0 10.125000 11.475000 6.875000
AshleyDene SD1 10 2010-10-21 2010/11 0 9.675000 11.025000 7.033357
AshleyDene SD1 11 2010-10-21 2010/11 0 9.566667 10.566667 7.325000
AshleyDene SD1 12 2010-10-21 2010/11 0 9.983333 11.633333 7.913195
AshleyDene SD1 13 2010-10-21 2010/11 0 10.633333 11.400000 8.375000
AshleyDene SD1 14 2010-10-21 2010/11 0 10.612500 13.012500 8.575000
AshleyDene SD1 15 2010-10-21 2010/11 0 11.437500 13.762500 9.235153
AshleyDene SD1 16 2010-10-21 2010/11 0 11.700000 13.425000 9.599993
AshleyDene SD1 17 2010-10-21 2010/11 0 11.150000 12.575000 9.400000
AshleyDene SD1 18 2010-10-21 2010/11 0 10.937500 12.762500 9.500724
AshleyDene SD1 19 2010-10-21 2010/11 0 10.987500 12.187500 9.489857
AshleyDene SD1 20 2010-10-21 2010/11 0 11.012500 11.637500 9.456728
AshleyDene SD1 21 2010-10-21 2010/11 0 11.362500 12.762500 9.750000
AshleyDene SD1 22 2010-10-21 2010/11 0 11.781250 14.706250 9.987500
AshleyDene SD2 1 2010-11-09 2010/11 0 41.100000 55.050000 15.300000
AshleyDene SD2 2 2010-11-09 2010/11 0 18.875000 22.075000 9.550000
AshleyDene SD2 3 2010-11-09 2010/11 0 14.262500 16.775000 8.400000
AshleyDene SD2 4 2010-11-09 2010/11 0 11.437500 13.525000 7.300000
AshleyDene SD2 5 2010-11-09 2010/11 0 10.300000 12.125000 7.350000
AshleyDene SD2 6 2010-11-09 2010/11 0 10.100000 11.850000 7.175000
AshleyDene SD2 7 2010-11-09 2010/11 0 9.575000 11.175000 6.775000
AshleyDene SD2 8 2010-11-09 2010/11 0 9.291667 10.825000 6.450000
AshleyDene SD2 9 2010-11-09 2010/11 0 9.512500 10.250000 6.375000
AshleyDene SD2 10 2010-11-09 2010/11 0 8.733333 10.075000 6.375000
AshleyDene SD2 11 2010-11-09 2010/11 0 9.037500 10.100000 6.425000
AshleyDene SD2 12 2010-11-09 2010/11 0 9.512500 11.100000 6.375000
AshleyDene SD2 13 2010-11-09 2010/11 0 10.204167 11.950000 6.825000
AshleyDene SD2 14 2010-11-09 2010/11 0 10.287500 12.275000 6.425000
AshleyDene SD2 15 2010-11-09 2010/11 0 9.766667 11.450000 6.950000
AshleyDene SD2 16 2010-11-09 2010/11 0 9.541667 10.900000 7.014732
AshleyDene SD2 17 2010-11-09 2010/11 0 9.420833 10.800000 7.322416
AshleyDene SD2 18 2010-11-09 2010/11 0 10.212500 11.250000 7.618431
AshleyDene SD2 19 2010-11-09 2010/11 0 10.679167 11.475000 7.902471
AshleyDene SD2 20 2010-11-09 2010/11 0 10.704167 11.400000 8.171994
AshleyDene SD2 21 2010-11-09 2010/11 0 10.949306 11.825000 8.675000
AshleyDene SD2 22 2010-11-09 2010/11 0 11.405035 12.000000 10.200000
AshleyDene SD3 1 2010-12-08 2010/11 5 26.650000 55.600000 14.750000
AshleyDene SD3 2 2010-12-08 2010/11 5 13.883333 21.225000 8.575000
AshleyDene SD3 3 2010-12-08 2010/11 5 11.600000 16.575000 8.075000
AshleyDene SD3 4 2010-12-08 2010/11 5 10.933333 14.275000 7.925000
AshleyDene SD3 5 2010-12-08 2010/11 5 9.883333 13.300000 7.425000
AshleyDene SD3 6 2010-12-08 2010/11 5 9.375000 11.906675 7.050000
AshleyDene SD3 7 2010-12-08 2010/11 5 10.483333 12.725000 7.200000
AshleyDene SD3 8 2010-12-08 2010/11 5 9.616667 11.750000 6.875000
AshleyDene SD3 9 2010-12-08 2010/11 5 8.841667 10.725000 6.375000
AshleyDene SD3 10 2010-12-08 2010/11 5 8.825000 10.450000 6.275000
AshleyDene SD3 11 2010-12-08 2010/11 5 8.475000 10.525000 6.525000
AshleyDene SD3 12 2010-12-08 2010/11 5 9.108333 10.875000 6.675000
AshleyDene SD3 13 2010-12-08 2010/11 5 9.641667 11.525000 6.875000
AshleyDene SD3 14 2010-12-08 2010/11 5 10.050000 11.750000 7.219970
AshleyDene SD3 15 2010-12-08 2010/11 5 10.208333 11.725000 7.450000
AshleyDene SD3 16 2010-12-08 2010/11 5 9.841667 11.450000 7.618338
AshleyDene SD3 17 2010-12-08 2010/11 5 10.108333 11.441667 8.125000
AshleyDene SD3 18 2010-12-08 2010/11 5 10.158333 11.297222 8.777693
AshleyDene SD3 19 2010-12-08 2010/11 5 10.705556 12.026852 9.386197
AshleyDene SD3 20 2010-12-08 2010/11 5 11.146296 12.276543 10.015351
AshleyDene SD3 21 2010-12-08 2010/11 5 11.136034 12.521039 9.870289
AshleyDene SD3 22 2010-12-08 2010/11 5 12.069631 12.278361 9.482202
AshleyDene SD4 1 2011-01-13 2010/11 12 38.700000 60.000000 13.950000
AshleyDene SD4 2 2011-01-13 2010/11 12 17.950000 24.275000 8.350000
AshleyDene SD4 3 2011-01-13 2010/11 12 13.450000 18.125000 7.500000
AshleyDene SD4 4 2011-01-13 2010/11 12 11.150000 15.125000 6.975000
AshleyDene SD4 5 2011-01-13 2010/11 12 9.850000 12.925000 6.750000
AshleyDene SD4 6 2011-01-13 2010/11 12 9.100000 11.950000 6.700000
AshleyDene SD4 7 2011-01-13 2010/11 12 9.050000 11.400000 6.750000
AshleyDene SD4 8 2011-01-13 2010/11 12 9.400000 11.375000 6.825000
AshleyDene SD4 9 2011-01-13 2010/11 12 8.950000 11.075000 6.800000
AshleyDene SD4 10 2011-01-13 2010/11 12 9.100000 11.025000 7.050000
AshleyDene SD4 11 2011-01-13 2010/11 12 8.950000 10.950000 7.528332
AshleyDene SD4 12 2011-01-13 2010/11 12 9.991667 11.633333 7.965535
AshleyDene SD4 13 2011-01-13 2010/11 12 10.170833 12.091667 8.346451
AshleyDene SD4 14 2011-01-13 2010/11 12 10.512500 11.662500 8.635768
AshleyDene SD4 15 2011-01-13 2010/11 12 10.587500 11.579167 9.343643
AshleyDene SD4 16 2011-01-13 2010/11 12 10.862500 11.995833 10.070267
AshleyDene SD4 17 2011-01-13 2010/11 12 11.241667 12.225000 10.595106
AshleyDene SD4 18 2011-01-13 2010/11 12 11.809722 12.325000 11.021937
AshleyDene SD4 19 2011-01-13 2010/11 12 11.787500 12.200000 10.790480
AshleyDene SD4 20 2011-01-13 2010/11 12 11.300000 11.666760 10.500000
AshleyDene SD4 21 2011-01-13 2010/11 12 11.475000 11.740636 10.679802
AshleyDene SD4 22 2011-01-13 2010/11 12 11.575000 11.820956 10.550000
AshleyDene SD5 1 2011-02-03 2010/11 14 33.400000 56.600000 13.300000
AshleyDene SD5 2 2011-02-03 2010/11 14 14.950000 20.625000 7.725000
AshleyDene SD5 3 2011-02-03 2010/11 14 11.775000 16.200000 7.725000
AshleyDene SD5 4 2011-02-03 2010/11 14 10.625000 14.425000 7.150000
AshleyDene SD5 5 2011-02-03 2010/11 14 9.900000 12.550000 7.025000
AshleyDene SD5 6 2011-02-03 2010/11 14 8.850000 11.425000 6.950000
AshleyDene SD5 7 2011-02-03 2010/11 14 8.675000 11.000000 6.475000
AshleyDene SD5 8 2011-02-03 2010/11 14 8.700000 10.575000 6.300000
AshleyDene SD5 9 2011-02-03 2010/11 14 8.725000 10.775000 6.375000
AshleyDene SD5 10 2011-02-03 2010/11 14 8.725000 10.450000 6.800000
AshleyDene SD5 11 2011-02-03 2010/11 14 9.075000 11.075000 7.046825
AshleyDene SD5 12 2011-02-03 2010/11 14 8.875000 10.825000 7.275069
AshleyDene SD5 13 2011-02-03 2010/11 14 9.300000 11.012500 7.708830
AshleyDene SD5 14 2011-02-03 2010/11 14 9.545833 11.383333 8.151305
AshleyDene SD5 15 2011-02-03 2010/11 14 9.960417 11.919792 8.487310
AshleyDene SD5 16 2011-02-03 2010/11 14 10.095833 11.658333 8.846311
AshleyDene SD5 17 2011-02-03 2010/11 14 10.139583 11.633333 8.940205
AshleyDene SD5 18 2011-02-03 2010/11 14 10.086458 11.533333 9.032711
AshleyDene SD5 19 2011-02-03 2010/11 14 10.175000 10.933333 8.688053
AshleyDene SD5 20 2011-02-03 2010/11 14 9.633333 10.952778 8.653590
AshleyDene SD5 21 2011-02-03 2010/11 14 9.866667 10.717593 8.906112
AshleyDene SD5 22 2011-02-03 2010/11 14 9.975000 11.065124 9.108838
AshleyDene SD6 1 2011-10-10 2011/12 5 36.900000 51.850000 14.900000
AshleyDene SD6 2 2011-10-10 2011/12 5 15.975000 17.240511 8.575000
AshleyDene SD6 3 2011-10-10 2011/12 5 12.062500 13.269187 7.825000
AshleyDene SD6 4 2011-10-10 2011/12 5 10.225000 10.807435 7.325000
AshleyDene SD6 5 2011-10-10 2011/12 5 9.312500 10.239878 7.225000
AshleyDene SD6 6 2011-10-10 2011/12 5 8.912500 10.309200 7.344761
AshleyDene SD6 7 2011-10-10 2011/12 5 9.062500 10.216180 7.350000
AshleyDene SD6 8 2011-10-10 2011/12 5 9.325000 9.938648 7.740818
AshleyDene SD6 9 2011-10-10 2011/12 5 9.800000 9.950000 7.641677
AshleyDene SD6 10 2011-10-10 2011/12 5 9.362500 9.400000 7.447340
AshleyDene SD6 11 2011-10-10 2011/12 5 9.050000 9.300000 7.358344
AshleyDene SD6 12 2011-10-10 2011/12 5 8.912500 8.950000 7.276003
AshleyDene SD6 13 2011-10-10 2011/12 5 8.862500 8.925000 7.570705
AshleyDene SD6 14 2011-10-10 2011/12 5 8.937500 8.975000 7.869109
AshleyDene SD6 15 2011-10-10 2011/12 5 9.650000 9.775000 8.492577
AshleyDene SD6 16 2011-10-10 2011/12 5 9.850000 9.875000 9.125000
AshleyDene SD6 17 2011-10-10 2011/12 5 10.462500 10.600000 9.307408
AshleyDene SD6 18 2011-10-10 2011/12 5 10.212500 10.350000 9.485385
AshleyDene SD6 19 2011-10-10 2011/12 5 10.162500 10.250000 9.632558
AshleyDene SD6 20 2011-10-10 2011/12 5 9.937500 10.225000 9.676883
AshleyDene SD6 21 2011-10-10 2011/12 5 10.425000 10.775538 9.775000
AshleyDene SD6 22 2011-10-10 2011/12 5 10.925000 11.400220 10.625000
AshleyDene SD7 1 2011-11-07 2011/12 1 38.650000 55.150000 18.100000
AshleyDene SD7 2 2011-11-07 2011/12 1 20.766667 20.950000 10.775000
AshleyDene SD7 3 2011-11-07 2011/12 1 14.816667 15.900000 9.050000
AshleyDene SD7 4 2011-11-07 2011/12 1 12.900000 13.450000 8.650000
AshleyDene SD7 5 2011-11-07 2011/12 1 11.533333 12.100000 8.300000
AshleyDene SD7 6 2011-11-07 2011/12 1 10.858333 11.800000 8.135994
AshleyDene SD7 7 2011-11-07 2011/12 1 10.058333 10.850000 7.925000
AshleyDene SD7 8 2011-11-07 2011/12 1 9.541667 9.925000 7.703568
AshleyDene SD7 9 2011-11-07 2011/12 1 9.616667 10.050000 7.601463
AshleyDene SD7 10 2011-11-07 2011/12 1 9.683333 10.100000 7.736664
AshleyDene SD7 11 2011-11-07 2011/12 1 9.500000 10.225000 7.661311
AshleyDene SD7 12 2011-11-07 2011/12 1 9.008333 9.700000 7.525000
AshleyDene SD7 13 2011-11-07 2011/12 1 8.683333 9.425000 7.934329
AshleyDene SD7 14 2011-11-07 2011/12 1 9.183333 9.775000 8.317523
AshleyDene SD7 15 2011-11-07 2011/12 1 9.800000 10.250000 8.708588
AshleyDene SD7 16 2011-11-07 2011/12 1 9.883333 10.800000 9.044146
AshleyDene SD7 17 2011-11-07 2011/12 1 10.241667 10.600000 9.454508
AshleyDene SD7 18 2011-11-07 2011/12 1 10.583333 10.825000 9.872468
AshleyDene SD7 19 2011-11-07 2011/12 1 10.700000 11.125000 9.966947
AshleyDene SD7 20 2011-11-07 2011/12 1 10.233333 10.650000 9.925000
AshleyDene SD7 21 2011-11-07 2011/12 1 10.888889 11.366667 10.400171
AshleyDene SD7 22 2011-11-07 2011/12 1 10.888889 11.333333 10.433333
AshleyDene SD8 1 2011-12-09 2011/12 3 38.000000 50.600000 19.050000
AshleyDene SD8 2 2011-12-09 2011/12 3 10.941667 16.810513 9.107421
AshleyDene SD8 3 2011-12-09 2011/12 3 9.758333 13.997516 8.586996
AshleyDene SD8 4 2011-12-09 2011/12 3 9.358333 11.797918 7.996343
AshleyDene SD8 5 2011-12-09 2011/12 3 8.800000 10.799207 7.676463
AshleyDene SD8 6 2011-12-09 2011/12 3 9.041667 10.533087 7.576744
AshleyDene SD8 7 2011-12-09 2011/12 3 9.083333 10.145895 7.318736
AshleyDene SD8 8 2011-12-09 2011/12 3 8.900000 9.699922 7.423540
AshleyDene SD8 9 2011-12-09 2011/12 3 9.225000 9.672192 7.863226
AshleyDene SD8 10 2011-12-09 2011/12 3 9.408333 9.625000 8.041938
AshleyDene SD8 11 2011-12-09 2011/12 3 9.366667 9.550000 8.385060
AshleyDene SD8 12 2011-12-09 2011/12 3 9.466667 9.575000 8.484863
AshleyDene SD8 13 2011-12-09 2011/12 3 9.775000 10.252370 8.938097
AshleyDene SD8 14 2011-12-09 2011/12 3 10.191667 10.967859 9.291635
AshleyDene SD8 15 2011-12-09 2011/12 3 10.266667 10.908243 9.425078
AshleyDene SD8 16 2011-12-09 2011/12 3 10.466667 10.854102 9.771765
AshleyDene SD8 17 2011-12-09 2011/12 3 10.583333 10.800565 9.690124
AshleyDene SD8 18 2011-12-09 2011/12 3 10.416667 10.798669 9.755354
AshleyDene SD8 19 2011-12-09 2011/12 3 10.883333 11.494893 10.126983
AshleyDene SD8 20 2011-12-09 2011/12 3 11.900000 12.255454 10.959465
AshleyDene SD8 21 2011-12-09 2011/12 3 12.033333 13.010926 11.314133
AshleyDene SD8 22 2011-12-09 2011/12 3 12.091667 12.457871 11.487540
AshleyDene SD9 1 2012-01-10 2011/12 0 33.400000 54.050000 22.050000
AshleyDene SD9 2 2012-01-10 2011/12 0 19.950000 23.477788 13.252214
AshleyDene SD9 3 2012-01-10 2011/12 0 14.358333 16.949080 10.226306
AshleyDene SD9 4 2012-01-10 2011/12 0 11.225000 12.880900 8.885845
AshleyDene SD9 5 2012-01-10 2011/12 0 9.725000 11.594212 8.427621
AshleyDene SD9 6 2012-01-10 2011/12 0 9.091667 10.598742 8.508460
AshleyDene SD9 7 2012-01-10 2011/12 0 9.141667 10.121170 8.793375
AshleyDene SD9 8 2012-01-10 2011/12 0 9.325000 9.975646 9.084760
AshleyDene SD9 9 2012-01-10 2011/12 0 9.466667 9.785926 9.213879
AshleyDene SD9 10 2012-01-10 2011/12 0 9.266667 10.062922 9.225000
AshleyDene SD9 11 2012-01-10 2011/12 0 9.500000 10.141908 9.281808
AshleyDene SD9 12 2012-01-10 2011/12 0 9.425000 9.753107 9.179805
AshleyDene SD9 13 2012-01-10 2011/12 0 9.433333 10.373481 9.350000
AshleyDene SD9 14 2012-01-10 2011/12 0 9.941667 11.149838 9.850000
AshleyDene SD9 15 2012-01-10 2011/12 0 10.500000 11.730944 10.450000
AshleyDene SD9 16 2012-01-10 2011/12 0 10.583333 12.138102 10.425000
AshleyDene SD9 17 2012-01-10 2011/12 0 10.516667 11.287662 10.250000
AshleyDene SD9 18 2012-01-10 2011/12 0 9.950000 10.600962 9.875000
AshleyDene SD9 19 2012-01-10 2011/12 0 9.625000 10.368783 9.550000
AshleyDene SD9 20 2012-01-10 2011/12 0 9.450000 10.170477 9.275000
AshleyDene SD9 21 2012-01-10 2011/12 0 9.925000 10.986436 9.875000
AshleyDene SD9 22 2012-01-10 2011/12 0 10.300000 11.850229 10.166667
AshleyDene SD10 1 2012-02-17 2011/12 484 37.500000 56.850000 35.000000
AshleyDene SD10 2 2012-02-17 2011/12 484 19.675000 23.882791 16.742475
AshleyDene SD10 3 2012-02-17 2011/12 484 15.425000 18.199897 13.127232
AshleyDene SD10 4 2012-02-17 2011/12 484 11.325000 13.430111 10.264089
AshleyDene SD10 5 2012-02-17 2011/12 484 9.025000 11.666624 9.025000
AshleyDene SD10 6 2012-02-17 2011/12 484 8.237500 11.132802 8.237500
AshleyDene SD10 7 2012-02-17 2011/12 484 7.900000 10.620664 7.900000
AshleyDene SD10 8 2012-02-17 2011/12 484 7.525000 10.749816 7.525000
AshleyDene SD10 9 2012-02-17 2011/12 484 8.275000 11.659579 8.275000
AshleyDene SD10 10 2012-02-17 2011/12 484 10.087500 11.810948 10.087500
AshleyDene SD10 11 2012-02-17 2011/12 484 9.887500 11.580961 9.887500
AshleyDene SD10 12 2012-02-17 2011/12 484 8.812500 11.180058 8.812500
AshleyDene SD10 13 2012-02-17 2011/12 484 8.262500 10.717431 8.262500
AshleyDene SD10 14 2012-02-17 2011/12 484 8.500000 10.272979 8.500000
AshleyDene SD10 15 2012-02-17 2011/12 484 8.981250 10.765964 8.981250
AshleyDene SD10 16 2012-02-17 2011/12 484 9.325000 11.275068 9.325000
AshleyDene SD10 17 2012-02-17 2011/12 484 9.450000 11.135722 9.450000
AshleyDene SD10 18 2012-02-17 2011/12 484 9.762500 11.040135 9.762500
AshleyDene SD10 19 2012-02-17 2011/12 484 10.018750 11.276559 10.018750
AshleyDene SD10 20 2012-02-17 2011/12 484 10.275000 11.517049 10.275000
AshleyDene SD10 21 2012-02-17 2011/12 484 10.881250 11.919984 10.881250
AshleyDene SD10 22 2012-02-17 2011/12 484 11.262500 12.253568 11.262500
Iversen12 SD1 1 2010-10-04 2010/11 0 48.875000 72.150000 18.500000
Iversen12 SD1 2 2010-10-04 2010/11 0 29.900000 35.750000 13.850000
Iversen12 SD1 3 2010-10-04 2010/11 0 27.387500 30.475000 12.825000
Iversen12 SD1 4 2010-10-04 2010/11 0 26.250000 28.800000 10.850000
Iversen12 SD1 5 2010-10-04 2010/11 0 27.012500 28.950000 9.225000
Iversen12 SD1 6 2010-10-04 2010/11 0 29.237500 30.000000 9.025000
Iversen12 SD1 7 2010-10-04 2010/11 0 30.612500 30.612500 9.350000
Iversen12 SD1 8 2010-10-04 2010/11 0 31.387500 32.325000 11.325000
Iversen12 SD1 9 2010-10-04 2010/11 0 29.737500 32.925000 13.950000
Iversen12 SD1 10 2010-10-04 2010/11 0 31.600000 32.250000 12.576080
Iversen12 SD1 11 2010-10-04 2010/11 0 30.862500 31.000000 10.972380
Iversen12 SD1 12 2010-10-04 2010/11 0 28.825000 29.275000 9.358116
Iversen12 SD1 13 2010-10-04 2010/11 0 30.262500 30.875000 10.211572
Iversen12 SD1 14 2010-10-04 2010/11 0 33.875000 34.075000 11.036462
Iversen12 SD1 15 2010-10-04 2010/11 0 34.312500 34.550000 16.207260
Iversen12 SD1 16 2010-10-04 2010/11 0 35.150000 35.325000 21.276482
Iversen12 SD1 17 2010-10-04 2010/11 0 36.450000 36.975000 22.606911
Iversen12 SD1 18 2010-10-04 2010/11 0 36.637500 37.900000 24.876187
Iversen12 SD1 19 2010-10-04 2010/11 0 36.337500 36.925000 25.874505
Iversen12 SD1 20 2010-10-04 2010/11 0 36.650000 36.975000 26.865865
Iversen12 SD1 21 2010-10-04 2010/11 0 35.825000 36.825000 27.475890
Iversen12 SD1 22 2010-10-04 2010/11 0 36.237500 36.825000 28.083294
Iversen12 SD2 1 2010-11-04 2010/11 3 75.100000 75.100000 18.400000
Iversen12 SD2 2 2010-11-04 2010/11 3 18.900000 36.625000 14.300000
Iversen12 SD2 3 2010-11-04 2010/11 3 20.525000 31.750000 15.475000
Iversen12 SD2 4 2010-11-04 2010/11 3 20.600000 29.250000 14.225000
Iversen12 SD2 5 2010-11-04 2010/11 3 20.325000 29.475000 12.725000
Iversen12 SD2 6 2010-11-04 2010/11 3 24.125000 30.300000 13.325000
Iversen12 SD2 7 2010-11-04 2010/11 3 27.687500 31.500000 14.400000
Iversen12 SD2 8 2010-11-04 2010/11 3 30.150000 32.675000 13.292846
Iversen12 SD2 9 2010-11-04 2010/11 3 32.300000 33.700000 13.544858
Iversen12 SD2 10 2010-11-04 2010/11 3 32.650000 33.600000 14.517048
Iversen12 SD2 11 2010-11-04 2010/11 3 31.775000 31.875000 13.449907
Iversen12 SD2 12 2010-11-04 2010/11 3 30.675000 30.950000 12.361145
Iversen12 SD2 13 2010-11-04 2010/11 3 33.325000 33.950000 12.729379
Iversen12 SD2 14 2010-11-04 2010/11 3 33.900000 34.100000 13.072090
Iversen12 SD2 15 2010-11-04 2010/11 3 34.537500 34.650000 17.553455
Iversen12 SD2 16 2010-11-04 2010/11 3 35.337500 35.975000 21.955841
Iversen12 SD2 17 2010-11-04 2010/11 3 36.137500 37.000000 23.791142
Iversen12 SD2 18 2010-11-04 2010/11 3 36.950000 37.525000 25.595066
Iversen12 SD2 19 2010-11-04 2010/11 3 37.212500 37.400000 27.103980
Iversen12 SD2 20 2010-11-04 2010/11 3 35.525000 36.350000 28.593348
Iversen12 SD2 21 2010-11-04 2010/11 3 36.450000 36.825000 28.782364
Iversen12 SD2 22 2010-11-04 2010/11 3 35.487500 36.750000 28.970676
Iversen12 SD3 1 2010-12-02 2010/11 21 46.600000 73.500000 21.400000
Iversen12 SD3 2 2010-12-02 2010/11 21 28.800000 36.750000 15.775000
Iversen12 SD3 3 2010-12-02 2010/11 21 26.775000 32.725000 16.600000
Iversen12 SD3 4 2010-12-02 2010/11 21 25.550000 30.475000 17.000000
Iversen12 SD3 5 2010-12-02 2010/11 21 26.900000 31.075000 17.325000
Iversen12 SD3 6 2010-12-02 2010/11 21 29.050000 32.375000 16.818445
Iversen12 SD3 7 2010-12-02 2010/11 21 30.500000 33.525000 15.870527
Iversen12 SD3 8 2010-12-02 2010/11 21 31.775000 33.750000 14.123326
Iversen12 SD3 9 2010-12-02 2010/11 21 29.850000 31.875000 12.198607
Iversen12 SD3 10 2010-12-02 2010/11 21 28.475000 30.250000 10.976587
Iversen12 SD3 11 2010-12-02 2010/11 21 27.450000 27.675000 9.986083
Iversen12 SD3 12 2010-12-02 2010/11 21 27.125000 27.125000 8.987573
Iversen12 SD3 13 2010-12-02 2010/11 21 28.750000 28.900000 13.244360
Iversen12 SD3 14 2010-12-02 2010/11 21 31.475000 32.075000 17.429766
Iversen12 SD3 15 2010-12-02 2010/11 21 34.050000 34.050000 15.946968
Iversen12 SD3 16 2010-12-02 2010/11 21 34.550000 34.850000 14.435938
Iversen12 SD3 17 2010-12-02 2010/11 21 36.750000 37.300000 19.157255
Iversen12 SD3 18 2010-12-02 2010/11 21 36.175000 37.575000 23.788862
Iversen12 SD3 19 2010-12-02 2010/11 21 36.550000 38.000000 26.074027
Iversen12 SD3 20 2010-12-02 2010/11 21 36.775000 37.725000 28.319725
Iversen12 SD3 21 2010-12-02 2010/11 21 34.075000 35.225000 28.249075
Iversen12 SD3 22 2010-12-02 2010/11 21 33.750000 35.000000 28.175585
Iversen12 SD4 1 2011-01-10 2010/11 15 52.150000 74.100000 31.650000
Iversen12 SD4 2 2011-01-10 2010/11 15 28.825000 36.750000 16.900000
Iversen12 SD4 3 2011-01-10 2010/11 15 24.700000 31.425000 14.950000
Iversen12 SD4 4 2011-01-10 2010/11 15 23.225000 29.425000 12.750000
Iversen12 SD4 5 2011-01-10 2010/11 15 23.075000 29.700000 11.950000
Iversen12 SD4 6 2011-01-10 2010/11 15 23.225000 31.775000 10.925000
Iversen12 SD4 7 2011-01-10 2010/11 15 24.925000 32.175000 10.575000
Iversen12 SD4 8 2011-01-10 2010/11 15 27.525000 31.975000 11.988949
Iversen12 SD4 9 2011-01-10 2010/11 15 27.200000 29.975000 10.371638
Iversen12 SD4 10 2011-01-10 2010/11 15 24.175000 27.525000 7.894958
Iversen12 SD4 11 2011-01-10 2010/11 15 22.700000 26.350000 8.625000
Iversen12 SD4 12 2011-01-10 2010/11 15 25.175000 27.400000 9.941262
Iversen12 SD4 13 2011-01-10 2010/11 15 29.475000 29.475000 12.100084
Iversen12 SD4 14 2011-01-10 2010/11 15 30.675000 30.675000 14.229431
Iversen12 SD4 15 2011-01-10 2010/11 15 32.425000 32.425000 16.704684
Iversen12 SD4 16 2011-01-10 2010/11 15 33.975000 34.125000 19.139078
Iversen12 SD4 17 2011-01-10 2010/11 15 33.100000 33.750000 19.956189
Iversen12 SD4 18 2011-01-10 2010/11 15 34.825000 34.825000 22.499177
Iversen12 SD4 19 2011-01-10 2010/11 15 36.850000 36.850000 25.809530
Iversen12 SD4 20 2011-01-10 2010/11 15 37.325000 38.450000 29.064026
Iversen12 SD4 21 2011-01-10 2010/11 15 37.175000 38.125000 28.853390
Iversen12 SD4 22 2011-01-10 2010/11 15 34.800000 35.725000 28.640563
Iversen12 SD5 1 2011-02-07 2010/11 10 39.400000 73.850000 30.900000
Iversen12 SD5 2 2011-02-07 2010/11 10 27.225000 36.975000 17.200000
Iversen12 SD5 3 2011-02-07 2010/11 10 25.550000 32.650000 17.625000
Iversen12 SD5 4 2011-02-07 2010/11 10 23.850000 30.900000 15.975000
Iversen12 SD5 5 2011-02-07 2010/11 10 22.600000 30.700000 12.950000
Iversen12 SD5 6 2011-02-07 2010/11 10 22.500000 31.150000 12.500000
Iversen12 SD5 7 2011-02-07 2010/11 10 24.450000 30.750000 11.444229
Iversen12 SD5 8 2011-02-07 2010/11 10 24.000000 31.225000 8.990477
Iversen12 SD5 9 2011-02-07 2010/11 10 22.525000 31.450000 9.100000
Iversen12 SD5 10 2011-02-07 2010/11 10 25.200000 31.800000 12.550000
Iversen12 SD5 11 2011-02-07 2010/11 10 26.600000 31.200000 11.525596
Iversen12 SD5 12 2011-02-07 2010/11 10 27.075000 31.725000 10.250960
Iversen12 SD5 13 2011-02-07 2010/11 10 24.975000 30.275000 13.834486
Iversen12 SD5 14 2011-02-07 2010/11 10 28.475000 30.800000 17.358356
Iversen12 SD5 15 2011-02-07 2010/11 10 32.000000 32.900000 18.061877
Iversen12 SD5 16 2011-02-07 2010/11 10 33.700000 34.650000 18.742296
Iversen12 SD5 17 2011-02-07 2010/11 10 33.250000 33.375000 18.037571
Iversen12 SD5 18 2011-02-07 2010/11 10 34.050000 34.050000 20.033145
Iversen12 SD5 19 2011-02-07 2010/11 10 36.100000 36.125000 22.710649
Iversen12 SD5 20 2011-02-07 2010/11 10 36.025000 36.675000 25.276162
Iversen12 SD5 21 2011-02-07 2010/11 10 35.450000 35.625000 26.791656
Iversen12 SD5 22 2011-02-07 2010/11 10 34.100000 34.650000 28.263403
Iversen12 SD6 1 2011-10-10 2011/12 4 51.350000 74.100000 23.150000
Iversen12 SD6 2 2011-10-10 2011/12 4 32.987500 33.275000 16.133333
Iversen12 SD6 3 2011-10-10 2011/12 4 30.500000 30.925000 16.766667
Iversen12 SD6 4 2011-10-10 2011/12 4 28.375000 28.550000 18.500000
Iversen12 SD6 5 2011-10-10 2011/12 4 27.737500 28.000000 17.400000
Iversen12 SD6 6 2011-10-10 2011/12 4 28.287500 28.300000 15.066667
Iversen12 SD6 7 2011-10-10 2011/12 4 29.462500 29.500000 15.200000
Iversen12 SD6 8 2011-10-10 2011/12 4 30.912500 31.175000 17.620515
Iversen12 SD6 9 2011-10-10 2011/12 4 31.287500 31.650000 17.646753
Iversen12 SD6 10 2011-10-10 2011/12 4 31.475000 31.500000 17.133373
Iversen12 SD6 11 2011-10-10 2011/12 4 31.937500 32.025000 20.441345
Iversen12 SD6 12 2011-10-10 2011/12 4 32.187500 32.575000 23.675665
Iversen12 SD6 13 2011-10-10 2011/12 4 33.625000 33.675000 22.621572
Iversen12 SD6 14 2011-10-10 2011/12 4 33.900000 34.325000 21.560057
Iversen12 SD6 15 2011-10-10 2011/12 4 34.187500 34.400000 23.740552
Iversen12 SD6 16 2011-10-10 2011/12 4 33.625000 34.425000 25.882974
Iversen12 SD6 17 2011-10-10 2011/12 4 35.500000 35.925000 26.167106
Iversen12 SD6 18 2011-10-10 2011/12 4 35.387500 36.666667 26.406734
Iversen12 SD6 19 2011-10-10 2011/12 4 37.012500 37.966667 28.976608
Iversen12 SD6 20 2011-10-10 2011/12 4 37.200000 37.850000 31.503668
Iversen12 SD6 21 2011-10-10 2011/12 4 36.575000 37.300000 31.289432
Iversen12 SD6 22 2011-10-10 2011/12 4 35.700000 36.466667 30.909441
Iversen12 SD7 1 2011-11-07 2011/12 1 54.650000 66.200000 28.200000
Iversen12 SD7 2 2011-11-07 2011/12 1 33.543750 35.550000 17.150000
Iversen12 SD7 3 2011-11-07 2011/12 1 30.406250 31.125000 16.275000
Iversen12 SD7 4 2011-11-07 2011/12 1 28.643750 30.025000 15.600000
Iversen12 SD7 5 2011-11-07 2011/12 1 28.662500 29.675000 13.225000
Iversen12 SD7 6 2011-11-07 2011/12 1 28.906250 29.300000 13.400000
Iversen12 SD7 7 2011-11-07 2011/12 1 30.506250 31.150000 16.075000
Iversen12 SD7 8 2011-11-07 2011/12 1 31.343750 31.650000 17.662461
Iversen12 SD7 9 2011-11-07 2011/12 1 30.718750 30.975000 16.085633
Iversen12 SD7 10 2011-11-07 2011/12 1 30.781250 31.025000 16.114526
Iversen12 SD7 11 2011-11-07 2011/12 1 29.362500 30.025000 16.160446
Iversen12 SD7 12 2011-11-07 2011/12 1 28.350000 28.550000 16.122284
Iversen12 SD7 13 2011-11-07 2011/12 1 29.968750 30.425000 16.194126
Iversen12 SD7 14 2011-11-07 2011/12 1 31.887500 32.150000 16.255305
Iversen12 SD7 15 2011-11-07 2011/12 1 31.825000 32.175000 15.737765
Iversen12 SD7 16 2011-11-07 2011/12 1 34.818750 34.975000 15.179791
Iversen12 SD7 17 2011-11-07 2011/12 1 36.987500 37.375000 20.575182
Iversen12 SD7 18 2011-11-07 2011/12 1 35.968750 36.375000 25.828403
Iversen12 SD7 19 2011-11-07 2011/12 1 35.093750 35.500000 28.161962
Iversen12 SD7 20 2011-11-07 2011/12 1 35.337500 35.825000 30.192152
Iversen12 SD7 21 2011-11-07 2011/12 1 34.925000 35.725000 30.370163
Iversen12 SD7 22 2011-11-07 2011/12 1 34.300000 34.500000 30.543093
Iversen12 SD8 1 2011-12-09 2011/12 2 61.650000 67.050000 31.550000
Iversen12 SD8 2 2011-12-09 2011/12 2 22.300000 31.275730 18.125000
Iversen12 SD8 3 2011-12-09 2011/12 2 21.775000 27.824114 18.325000
Iversen12 SD8 4 2011-12-09 2011/12 2 20.875000 25.713953 16.386878
Iversen12 SD8 5 2011-12-09 2011/12 2 21.000000 23.126674 15.625000
Iversen12 SD8 6 2011-12-09 2011/12 2 23.850000 23.850000 18.022141
Iversen12 SD8 7 2011-12-09 2011/12 2 26.900000 26.900000 18.940876
Iversen12 SD8 8 2011-12-09 2011/12 2 27.525000 27.525000 19.271777
Iversen12 SD8 9 2011-12-09 2011/12 2 27.400000 27.400000 20.172788
Iversen12 SD8 10 2011-12-09 2011/12 2 27.958333 28.650000 19.119654
Iversen12 SD8 11 2011-12-09 2011/12 2 26.537500 26.825000 16.276082
Iversen12 SD8 12 2011-12-09 2011/12 2 23.050000 23.525000 13.393442
Iversen12 SD8 13 2011-12-09 2011/12 2 20.987500 21.700000 13.783343
Iversen12 SD8 14 2011-12-09 2011/12 2 22.987500 23.550000 14.170136
Iversen12 SD8 15 2011-12-09 2011/12 2 24.550000 25.175000 16.230879
Iversen12 SD8 16 2011-12-09 2011/12 2 26.287500 26.450000 20.744084
Iversen12 SD8 17 2011-12-09 2011/12 2 30.725000 30.875000 26.060516
Iversen12 SD8 18 2011-12-09 2011/12 2 35.700000 36.050000 31.110265
Iversen12 SD8 19 2011-12-09 2011/12 2 36.600000 36.700000 31.113278
Iversen12 SD8 20 2011-12-09 2011/12 2 35.662500 35.800000 31.091762
Iversen12 SD8 21 2011-12-09 2011/12 2 35.537500 36.125000 30.768349
Iversen12 SD8 22 2011-12-09 2011/12 2 35.512500 35.575000 30.991331
Iversen12 SD9 1 2012-01-10 2011/12 0 49.200000 68.300000 38.600000
Iversen12 SD9 2 2012-01-10 2011/12 0 34.241667 35.425000 25.260629
Iversen12 SD9 3 2012-01-10 2011/12 0 29.650000 30.600000 22.314521
Iversen12 SD9 4 2012-01-10 2011/12 0 25.916667 26.325000 19.718087
Iversen12 SD9 5 2012-01-10 2011/12 0 23.950000 24.200000 18.433114
Iversen12 SD9 6 2012-01-10 2011/12 0 24.950000 25.125000 17.943447
Iversen12 SD9 7 2012-01-10 2011/12 0 25.683333 26.325000 19.392640
Iversen12 SD9 8 2012-01-10 2011/12 0 22.825000 22.875000 17.514878
Iversen12 SD9 9 2012-01-10 2011/12 0 22.000000 22.300000 18.223176
Iversen12 SD9 10 2012-01-10 2011/12 0 23.550000 23.825000 19.118117
Iversen12 SD9 11 2012-01-10 2011/12 0 23.233333 23.575000 18.257147
Iversen12 SD9 12 2012-01-10 2011/12 0 23.008333 23.400000 17.383710
Iversen12 SD9 13 2012-01-10 2011/12 0 23.608333 24.025000 18.855802
Iversen12 SD9 14 2012-01-10 2011/12 0 25.425000 25.900000 20.271084
Iversen12 SD9 15 2012-01-10 2011/12 0 28.925000 29.950000 23.763992
Iversen12 SD9 16 2012-01-10 2011/12 0 31.408333 31.658333 27.151535
Iversen12 SD9 17 2012-01-10 2011/12 0 34.716667 34.800000 28.662716
Iversen12 SD9 18 2012-01-10 2011/12 0 35.225000 35.400000 30.155653
Iversen12 SD9 19 2012-01-10 2011/12 0 35.075000 35.125000 30.653047
Iversen12 SD9 20 2012-01-10 2011/12 0 35.866667 36.275000 31.126650
Iversen12 SD9 21 2012-01-10 2011/12 0 35.925000 36.500000 30.897482
Iversen12 SD9 22 2012-01-10 2011/12 0 34.766667 35.075000 30.582304
Iversen12 SD10 1 2012-02-17 2011/12 501 49.600000 70.200000 45.150000
Iversen12 SD10 2 2012-02-17 2011/12 501 32.675000 32.675000 26.998954
Iversen12 SD10 3 2012-02-17 2011/12 501 28.425000 29.580748 24.010669
Iversen12 SD10 4 2012-02-17 2011/12 501 25.525000 27.163628 21.308168
Iversen12 SD10 5 2012-02-17 2011/12 501 24.375000 25.678606 19.962197
Iversen12 SD10 6 2012-02-17 2011/12 501 23.875000 24.250769 20.608707
Iversen12 SD10 7 2012-02-17 2011/12 501 23.550000 23.550000 21.019780
Iversen12 SD10 8 2012-02-17 2011/12 501 23.300000 23.328091 20.732897
Iversen12 SD10 9 2012-02-17 2011/12 501 22.550000 22.579082 20.244652
Iversen12 SD10 10 2012-02-17 2011/12 501 22.358333 22.553519 20.792334
Iversen12 SD10 11 2012-02-17 2011/12 501 22.752778 23.018792 21.322920
Iversen12 SD10 12 2012-02-17 2011/12 501 23.350926 23.537037 21.494065
Iversen12 SD10 13 2012-02-17 2011/12 501 22.296142 22.520959 19.385280
Iversen12 SD10 14 2012-02-17 2011/12 501 19.982047 20.376701 17.222012
Iversen12 SD10 15 2012-02-17 2011/12 501 21.131516 21.964175 20.755229
Iversen12 SD10 16 2012-02-17 2011/12 501 23.743839 24.851697 23.512857
Iversen12 SD10 17 2012-02-17 2011/12 501 26.656280 27.693073 26.132458
Iversen12 SD10 18 2012-02-17 2011/12 501 28.935426 29.011558 27.976750
Iversen12 SD10 19 2012-02-17 2011/12 501 30.607642 30.633019 29.074389
Iversen12 SD10 20 2012-02-17 2011/12 501 31.402547 31.411006 29.942125
Iversen12 SD10 21 2012-02-17 2011/12 501 31.796682 31.799502 29.984290
Iversen12 SD10 22 2012-02-17 2011/12 501 31.632227 31.633167 29.930676

try to modify apsimx file in place. Edit feature. Note: apsimx is not working properly in the bash env.

4.6.1 Examine the DUL and LL with original observations

Manual visualisation of boundaries of PAWC for each sowing date.

Figure 4.6: Manual visualisation of boundaries of PAWC for each sowing date.

looks reasonable. but is this too busy.

Hist for DUL and CLL. Overlapping suggest some crops yet to complete drying cycle.

Figure 4.7: Hist for DUL and CLL. Overlapping suggest some crops yet to complete drying cycle.

Initial soil water content.

Figure 4.8: Initial soil water content.

4.7 Estimate KLs

Started at 20200531

Visulise the data to have a feel.

Selected SW in selected SD in Selected site.

Figure 4.9: Selected SW in selected SD in Selected site.

How to deal with outlines?!!

Do I just assume that all the water was sucked up by the Areas within 1m of the neutron probe access tubes were also avoided. no harvest around NP? always full canopy?

https://douglas-watson.github.io/post/2018-09_exponential_curve_fitting/

Eliminate the noise data
1. full canopy cover - LAI > 1
2. No rainfall during the period.

sw need to ask Hamish about the model-fitting exercises. (Brown et al. 2009)

Label the dates for fitting the curves.

Figure 4.10: Label the dates for fitting the curves.

Label the dates for fitting the curves.

Figure 4.11: Label the dates for fitting the curves.

Zoom in a bit more.

Figure 4.12: Zoom in a bit more.

Richard conversion of met file had one day off
152th of 2010 should be 2nd of June 2010

In the thesis,
arbitrary dates were selected for extraction initiation and finishing.
p147: Extraction began in the 0.25 m soil layer on the 25 October 2011 at both sites.
p150: The EFV reached the maximum depth of measurement (2.25 m) on 23 December 2011 at Ashley Dene and 11 March 2012 at Iversen 12 Crops at both Ashley Dene and Iversen reached maximum extraction depth in late February 2012. Assumption based on the graph below. soil water content was averaged across different sowing dates in the second season. Water extraction was observed to start in early August 2011 for regrowth crops, however a large rainfall event returned SWC to DUL on 21 October 2011. Models were fitted from this point to maximum SWD which occurred on 16 January 2012 and 25 May 2012 at Ashley Dene and Iversen 12, respectively.

p136 \[SWC_t = LL + PAWC exp(-kl(t-tc)Sc)\]

Measured mean SWC during the period.

Figure 4.13: Measured mean SWC during the period. 

##     Experiment Clock.Today mean_SW      start   t
##  1: AshleyDene  2011-10-21   50.30 2010-10-21 365
##  2: AshleyDene  2011-11-03   34.03 2010-10-21 378
##  3: AshleyDene  2011-11-16   36.85 2010-10-21 391
##  4: AshleyDene  2011-11-28   25.30 2010-10-21 403
##  5: AshleyDene  2011-12-12   32.45 2010-10-21 417
##  6: AshleyDene  2011-12-23   28.12 2010-10-21 428
##  7: AshleyDene  2012-01-05   16.63 2010-10-21 441
##  8: AshleyDene  2012-01-16   14.64 2010-10-21 452
##  9: AshleyDene  2012-02-01   20.06 2010-10-21 468
## 10: AshleyDene  2012-02-15   22.37 2010-10-21 482
## 11: AshleyDene  2012-02-28   30.96 2010-10-21 495
The quick plot to examine the fitting results

Figure 4.14: The quick plot to examine the fitting results

Table 4.7: The fitting number
ll pawc x alpha
28688479 21.95231 -3.270321 0.0379942

is this manual curve fitting procedure robust? the rainfall definetly affect the SW in the top soils?
how can we ensure that the decay is due to the plant transipiration rather than evaporation??

4.7.1 More fitting trys

20200515
https://rpubs.com/mengxu/exponential-model

\[SWC_t = LL + PAWC * exp(-kl(x)Sc)\] why not \[SWC_t = DUL - PAWC * exp(-kl(t-tc)Sc)\] because the plant take water up rather than storing water. The SW will need to get smaller over time.

Examine the mean observations for layer 9 over first five sowing dates in Ashley Dene.

Figure 4.15: Examine the mean observations for layer 9 over first five sowing dates in Ashley Dene.

Examine fitting for layer 9 over five sowing dates in AshleyDene

Figure 4.16: Examine fitting for layer 9 over five sowing dates in AshleyDene

Table 4.8: Layer 9 fitting results.
kl ll pawc
-0.0246559 0.0712163 0.0373568

Seems too much effort to figure out the starting point by oneself.? selfstarting might be the way to go

Asked Rodelyn about the nls and start point preparation.
the online document takes two steps for fitting the curve:
1. prepare the nls a starting point by transforming it to a linear function.
2. apply the origin function in nls with the start

Fitting results for all layers and all sowing dates

Figure 4.17: Fitting results for all layers and all sowing dates

4.7.2 Curve fitting is not going to work

kl should be link to the root turnover?? YES
But it can’t be dynamic to reflect the real world stuiation in NZ since the cold temperature could limit the crop water uptake.

why we can’t make the kl calculated on the fly? monthly value probably the best you could have but suspect that it still won’t reflect the real world senarios. again, temperature and open canopy.

Slurp is probably the best way to go so far, since it accounts the incomplete canopy and tempareture. curving fitting is not recommended since the assumptions are very easy to be violated in NZ.

4.7.2.1 20200330 Grab above ground component and soil water

Unit conversion for visulising the graph in apsimx UI.

4.8 Evapotranspiration surface

This is for calibrate the model for Potential Ep since there is no crop growing on this area?

Surface evaporation data.

Figure 4.18: Surface evaporation data.

4.9 Biomass Overview

The Biomass has 3124 obs for two sites.

Note:

Too many vars, take long time to generate the pairplot. R is a bit slow to plot big correlation plots Try seaborn in python. still slow. consider to set up Draker plan.

4.10 Root Overview

The Root tab has 164 obs.

References

Brown, Hamish E., Derrick J. Moot, Andrew L. Fletcher, and Peter D. Jamieson. 2009. “A framework for quantifying water extraction and water stress responses of perennial lucerne.” Crop and Pasture Science 60 (8): 785–94. https://doi.org/10.1071/CP08415.
Sim, R. E. 2014. “Water extraction and use of seedling and established dryland lucerne crops.” PhD thesis, Lincoln University, Canterbury, New Zealand.