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Publication Number: FHWA-RD-03-092
Date: May 2006

Verification of LTPP Virtual Weather Stations Phase I Report: Accuracy and Reliability of Virtual Weather Stations

Task 3: Determine Accuracy of Vws Estimates and Verify The Vws Algorithm (Cont.)

Table 30. Summary statistics for error of daily estimates of SMP maximum temperature using three different calculation methods.
No. SMP
ID
Days
of
Data
Mean Error (SMP-Estimate) , °C Standard Deviation Error, °C
IMS
VWS
Closest Weight
1/R^2
Weight
1/R
No
Weight
IMS
VWS
Closest Weight
1/R^2
Weight
1/R
No
Weight
1 100102 325 0.39 0.21 0.34 0.39 0.41 2.47 2 2.02 2.09 2.22
2 131005 392 -0.28 -0.48 -0.29 -0.18 0 2.73 3.77 2.8 2.45 2.32
3 133019 345 0.26 0.56 0.26 0.19 0.19 3.31 3.84 3.32 3.03 2.63
4 161010 499 1.43 0.8 0.83 0.97 1.25 1.92 3.25 3.16 2.78 2.23
5 183002 164 1.48 1.41 1.47 1.48 1.48 3.9 5.1 3.94 3.66 3.44
6 204054 293 1.4 2.35 1.43 1.06 0.74 3.27 2.63 3.31 3.69 3.98
7 231026 608 0.47 0.11 0.44 0.48 0.54 2.92 4.8 3.04 3.01 3.07
8 241634 493 1.28 1.75 1.3 1.19 1.08 1.58 1.97 1.61 1.66 1.75
9 251002 397 -0.22 -0.53 -0.2 -0.23 -0.27 3.48 4.71 3.49 3.5 3.54
10 271018 871 1.45 1.63 1.45 0.95 0.26 3.2 3.27 3.2 3.02 2.84
11 271028 744 0.76 0.65 0.75 0.74 0.71 2.23 2.19 2.23 2.36 2.53
12 274040 700 0.89 0.47 0.47 0.48 0.73 4.36 1.84 1.84 1.83 3.3
13 276251 659 -0.77 -0.78 -0.77 -0.69 -0.57 4.59 4.62 4.59 4.37 3.71
14 281016 275 0.2 0.2 0.54 0.49 0.18 3.09 3.1 1.78 1.77 2.03
15 281802 405 -1.05 -1.05 -1.07 -1.04 -0.97 2.09 1.66 1.78 2.1 2.56
16 308129 660 0.96 1.2 0.98 0.82 0.67 2.85 2.7 2.85 2.87 2.85
17 310114 293 0.59 0.29 0.59 0.9 1.22 4.7 5.84 4.72 3.73 2.8
18 313018 279 0.42 0.53 0.5 0.66 0.95 5.54 1.41 2.16 2.72 3.3
19 320204 50 0.18 0.28 0.19 0.1 -0.02 1.92 1.94 1.88 1.89 2.02
20 331001 586 0.47 0.47 0.46 0.44 0.24 0.71 0.72 0.71 0.79 2.18
21 351112 350 0.93 1.72 1.28 1.33 1.4 1.58 1.31 1.12 1.2 1.42
22 360801 345 1.18 1.27 1.18 1.16 1.15 2.48 2.63 2.49 2.59 2.77
23 364018 594 0.2 -0.69 -0.67 -0.51 -0.02 3.28 1.05 1.04 1.15 2.67
24 371028 454 0.03 1.06 0.05 -0.04 -0.12 1.79 2.41 1.86 1.91 1.98
25 404165 487 0.84 0.47 0.83 1.02 1.19 3.76 4.92 3.77 3.19 2.71
26 421606 348 0.02 -0.06 0.03 0.03 0.01 1.98 0.79 1.95 2.46 2.89
27 460804 394 0.52 0.33 0.51 0.54 0.5 1.73 2.06 1.74 1.66 1.68
28 469187 262 0.22 1.83 0.75 0.62 0.5 3.55 4.81 3.87 3.73 3.58
29 481060 563 0.85 0.84 0.84 0.84 0.84 1.45 1.69 1.45 1.44 1.45
30 481068 570 -0.37 -0.53 -0.37 -0.31 -0.3 4.06 4.25 4.06 3.96 3.89
31 481077 539 0 -0.13 -0.01 0.1 0.2 2.27 0.89 2.26 2.48 2.58
32 481122 529 0 0.04 0 -0.07 -0.16 3.06 3.58 3.06 2.62 2.24
33 483739 410 -0.56 -1.02 -0.97 -0.84 -0.69 2.89 2.56 2.5 2.48 2.7
34 484142 602 -1.17 0.22 0.2 0.02 -0.46 4.06 4.1 4.05 3.72 3.28
35 484143 445 0.6 0.61 0.6 0.57 0.53 4.07 4.24 4.07 3.76 3.46
36 491001 525 0.17 0.16 0.17 0.17 -0.02 1.37 1.38 1.37 1.34 1.55
37 493011 582 1.56 1.62 1.58 1.41 0.95 2.12 2.19 1.83 1.76 1.93
38 501002 519 -0.48 -1.61 -0.52 -0.29 0.02 3.16 4.77 3.23 2.83 2.3
39 510114 263 0.78 1.08 0.78 0.56 0.4 4.22 4.38 4.23 3.93 3.48
40 533813 218 1.14 1.44 1.15 0.78 0.39 3.29 3.89 3.3 2.68 2.17
41 561007 556 0.47 0.56 0.47 0.39 0.29 3.95 5.15 3.99 3.94 4.04
42 831801 938 0.03 0.18 0.04 0.01 -0.03 1.28 1.74 1.29 1.23 1.16
43 833802 544 -0.18 -0.19 -0.09 0.04 0.11 1.37 1.38 1.23 1.3 1.3
44 871622 545 0.25 0.23 0.24 0.26 0.27 1.26 1.44 1.28 1.22 1.23
45 906405 594 0.23 -0.45 -0.21 -0.08 0.05 1.7 2.2 1.91 1.79 1.72
All Days 21214 0.37 0.37 0.36 0.34 0.31 3.02 3.25 2.83 2.7 2.7
Avg. Section 471.42 0.39 0.42 0.39 0.38 0.35 2.81 2.91 2.61 2.53 2.57

 

Table 31. Summary statistics for error of daily estimates of SMP minimum temperature using three different calculation methods.
No. SMP
ID
Days
of
Data
Mean Error (SMP-Estimate) , °C Standard Deviation Error, °C
IMS
VWS
Closest Weight
1/R^2
Weight
1/R
No
Weight
IMS
VWS
Closest Weight
1/R^2
Weight
1/R
No
Weight
1 100102 325 1.07 0.9 1.34 1.6 1.85 1.84 1.93 1.86 1.86 1.91
2 131005 392 -0.82 -0.82 -0.81 -0.76 -0.62 1.87 2.36 1.87 1.71 1.71
3 133019 345 1.88 2.52 1.89 1.67 1.56 2.28 2.53 2.29 2.16 1.98
4 161010 499 1.08 -0.89 -0.78 -0.36 0.35 1.92 3.27 3.15 2.69 2.1
5 183002 164 -0.44 -0.77 -0.45 -0.4 -0.37 2.79 3.72 2.85 2.65 2.51
6 204054 293 0.43 1.18 0.47 0.15 -0.12 2.05 1.91 2.1 2.22 2.29
7 231026 608 0.5 -0.8 0.44 0.69 0.97 2.56 3.84 2.66 2.61 2.64
8 241634 493 0.19 0.02 0.19 0.25 0.3 1.33 2.18 1.33 1.3 1.3
9 251002 397 -2.21 -3.7 -2.22 -2.18 -2.14 2.05 3.19 2.19 2.17 2.16
10 271018 871 1.14 1.26 1.14 0.78 0.27 2.01 2.1 2.01 1.79 1.57
11 271028 744 0.16 -0.27 0.15 0.16 0.13 2.1 2.88 2.1 2.08 2.12
12 274040 700 -0.04 -0.31 -0.31 -0.3 -0.24 3.4 2.07 2.07 2.02 2.63
13 276251 659 -0.34 -0.35 -0.34 -0.21 0.22 4.07 4.11 4.08 3.82 3.28
14 281016 275 -0.64 -0.64 0.19 0.14 -0.34 2.44 2.45 1.45 1.43 1.64
15 281802 405 0.95 1.12 0.93 0.82 0.66 1.85 1.76 1.61 1.72 1.97
16 308129 660 -0.35 -0.22 -0.36 -0.42 -0.46 2.46 2.65 2.47 2.49 2.58
17 310114 293 -1.16 -1.54 -1.16 -0.81 -0.45 2.95 3.64 2.96 2.36 1.81
18 313018 279 -1.56 -0.8 -1.02 -1.05 -1.02 2.8 1.51 1.46 1.54 1.73
19 320204 50 -0.02 -0.05 -0.03 -0.03 -0.07 1.89 1.98 1.91 1.9 1.99
20 331001 586 -1.18 -1.19 -1.18 -1.11 -0.77 1.1 1.12 1.1 0.97 1.39
21 351112 350 -0.08 1.71 0.78 0.64 0.56 1.7 2.18 1.71 1.6 1.53
22 360801 345 0.08 0.32 0.08 -0.03 -0.17 1.81 2.02 1.82 1.84 1.92
23 364018 594 -0.84 1.19 1.15 0.78 -0.38 2.84 2.65 2.61 2.25 2.36
24 371028 454 1.04 1.28 1.04 1.03 1.03 1.68 2.38 1.69 1.68 1.68
25 404165 487 0.5 0.06 0.49 0.7 0.83 2.56 3.21 2.57 2.29 2.1
26 421606 348 -0.27 0.34 -0.25 -0.5 -0.76 1.25 0.88 1.24 1.55 1.84
27 460804 394 -0.36 -0.31 -0.35 -0.38 -0.4 1.8 2.13 1.81 1.66 1.58
28 469187 262 0.83 1.08 0.92 0.85 0.77 1.72 2.5 1.77 1.73 1.7
29 481060 563 0.9 0.74 0.9 0.94 0.97 1.54 1.91 1.54 1.51 1.5
30 481068 570 -1 -1.02 -1 -0.98 -0.94 2.76 2.91 2.77 2.72 2.72
31 481077 539 -0.03 0.45 -0.02 -0.13 -0.24 1.63 1.51 1.63 1.67 1.7
32 481122 529 -0.79 -0.78 -0.79 -0.78 -0.74 2.61 3.01 2.61 2.29 2.06
33 483739 410 0.47 0.47 0.46 0.5 0.6 2.36 2.39 2.3 2.16 2.22
34 484142 602 -0.26 -0.01 -0.01 0 0.01 3.18 3.31 3.27 3.01 2.73
35 484143 445 0.66 0.54 0.66 0.88 1.16 6.98 7.03 6.98 6.89 6.82
36 491001 525 -1.73 -1.78 -1.73 -1.49 -1.17 1.66 1.72 1.67 1.42 1.62
37 493011 582 -0.08 -0.04 -0.1 -0.18 -0.32 2 2.07 1.83 1.78 1.84
38 501002 519 -0.36 -2.54 -0.44 -0.13 0.26 3.13 4.37 3.22 2.95 2.62
39 510114 263 -0.51 0.03 -0.49 -0.86 -1.14 2.89 3.01 2.88 2.63 2.26
40 533813 218 -1.09 -1.17 -1.09 -1.05 -1.07 1.75 2.1 1.76 1.45 1.33
41 561007 556 -1 -1.84 -1.03 -0.96 -1.02 3.3 4.01 3.32 3.28 3.35
42 831801 938 -0.17 -0.43 -0.16 -0.21 -0.27 1.39 1.61 1.39 1.4 1.41
43 833802 544 -0.09 -0.09 -0.13 -0.19 -0.28 2.64 2.66 2.65 2.52 2.06
44 871622 545 0.12 -0.17 0.12 0.37 0.63 1.81 2.11 1.81 1.73 1.83
45 906405 594 0.68 0.67 0.68 0.7 0.72 2.03 3.13 2.58 2.34 2.17
All Days 21214 -0.08 -0.16 -0.03 -0.02 -0.02 2.66 3.03 2.63 2.5 2.44
Avg. Section 471.42 -0.11 -0.15 -0.05 -0.04 -0.04 2.33 2.62 2.29 2.17 2.14
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