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The Importance of Local Calibration of the MEPDG
World of AsphaltAsphalt ConferenceCharlotte, NCMarch 13, 2012
Kevin D. Hall, Ph.D., P.E.University of [email protected]
Primary Objectives
• Verify the applicability of the MEPDG for local conditions
• Calibrate to local conditions
• Reduce bias and standard deviation for distress prediction models
Calibration of MEPDG
(adapted from FHWA)
Concept of Model Calibration
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4
Pred
ictio
n (in
.)
Measurement (in.)
Before Calibration
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4Pr
edic
tion
(in.)
Measurement (in.)
After Calibration
Bias and Error Concept
“Actual” Distress
“Pre
dict
ed”
Dis
tres
s
BIASERROR
National Calibration
(LTPP sections used in the national calibration for new flexible pavement)(from MEPDG Users’ Guide,2004)
Recommendations(from National Calibration)
• Available data include LTPP and PMS.
• Some distress data formats may need to be converted.
• Flexible pavement longitudinal cracking and transverse cracking are questionable.
• JPCP is good for use.
• Calibration with more data is recommended.
Across the U.S…
Stage of Implementation StatesNot considering at allIn planning stagesIn process Arkansas, California, Florida,
Mississippi, New MexicoFinished some models North Carolina, Washington, Montana,
Minnesota, Texas, Kentucky, OhioAlready finished all modelsMEPDG is in use Missouri, Indiana
(As of July 2010)
Local Data Sources
• Long Term Pavement Performance (LTPP)– General Pavement Studies (GPS)– Specific Pavement Studies (SPS)
• Pavement Management System (PMS)– TOP25 for flexible pavements
LTPP sites in Arkansas
GPS
SPS
TOP25 from AHTD
Validation and Calibration of New Flexible Pavement
Pavement Sections38 Sections• 18 LTPP• 20 TOP25
Experimental DesignBase Type
Hot-Mix Asphalt (HMA) Thickness
No. of sectionsThin
(≤4 in.) Intermediate Thick (≥8 in.)
Unbound base
0113,0114,0804, 070079G,070079A, 070079P
R20149G,R20149P,090001G, 090001A,090001P,090048G, 090048A,090048P,070018G,
070018A,070018P
17
ATB 0803
0115,0116,0117,0118,01190120,0121,0122,0123,0124,
R80065G,R80065A, R80065P,R50067G, R50067A,R50067P
17
CTB 2042,3048, 3058,3071 4No. of
sections 1 26 11 38
Underlined sections are randomly selected for validation; G is Good; A is Average; P is PoorATB: Asphalt Treated Base; CTB: Cement Treated Base.
Measured Performance
Predicted Performance
Design Criteria
Comparison (uncalibrated)
Comparison (calibrated)
Measured Performance
Predicted Performance
Design Criteria
Alligator Cracking
0
5
10
15
20
25
30
35
40
0 10 20 30 40
Pred
icte
d al
ligat
or c
rack
ing,
%
Measured alligator cracking, %
LTPPPMSEqualityRegression
y = 0.1190 xR2 = 0.09
0
5
10
15
20
25
30
35
40
0 10 20 30 40Pr
edic
ted
allig
ator
cra
ckin
g, %
Measured alligator cracking, %
LTPPPMSEqualityRegression
y = 0.2172 xR2 = 0.22
Determined in accordancewith LTPP Distress IdentificationManual
Alligator Cracking
0102030405060708090
100
5 10 15 20 25 More
Freq
uenc
y, %
Alligator Cracking, %
Histogram of alligator cracking (Validation)
MeasuredPredicted
0102030405060708090
100
5 10 15 20 25 MoreFr
eque
ncy,
%Alligator Cracking, %
Histogram of alligator cracking (Calibrated)
MeasuredPredicted
Longitudinal cracking
0102030405060708090
100
1000 2000 3000 4000 5000 More
Freq
uenc
y, %
Longitudinal cracking (ft/mi)
Histogram of Longitudinal Cracking (Validation)
Measured
Predicted
0
1000
2000
3000
4000
5000
6000
7000
0 2000 4000 6000
Pred
icte
d lo
ng. c
rack
ing,
ft/m
i
Measured longitudinal cracking, ft/mi
LTPPPMSEquality
Longitudinal cracking recorded in wheelpath only
Transverse Cracking
0102030405060708090
100
500 1000 1500 More
Freq
uenc
y, %
Transverse Cracking, ft/mi
Histogram of Transverse Cracking (Validation)
Measured
Predicted
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
0 500 1000 1500 2000 2500 3000
Pred
icte
d tr
ansv
erse
cra
ckin
g, ft
/mi
Measured transverse cracking, ft/mi
LTPP PMS
No determination maderegarding ‘cause’ ofcracking
Total Rutting
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.0 0.1 0.2 0.3 0.4 0.5 0.6
Pred
icte
d ru
ttin
g, in
ch
Measured rutting, inch
LTPPPMSEqualityRegression
y=1.2433 xR2=0.87
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.0 0.1 0.2 0.3 0.4 0.5 0.6
Pred
icte
d ru
ttin
g, in
chMeasured rutting, inch
LTPPPMSEqualityRegression
LTPP: dipstick or photographic
Ark: straightedge
Smoothness (IRI)
0
10
20
30
40
50
60
40 60 80 100 120 140 More
Freq
uenc
y, %
IRI, in/mi
Histogram of IRI (Validation)
Measured
Predicted
40
60
80
100
120
140
40 60 80 100 120 140
Pred
icte
d IR
I, in
/mi
Measured IRI, in/mi
LTPP PMSEquality Regression
y=1.2606 x R2=0.93
In MEPDG, IRI is a function of the otherpavement distresses;
MEPDG default Initial IRI: 63 in/mileArkansas initial IRI (LTPP and Top 25): 70 in/mile
Results(Calibration Coefficients)
Calibration Factor Default CalibratedAlligator cracking
C1 1.0 0.688
C2 1.0 0.294C3 6000 6000
AC ruttingβr1 1.0 1.2βr2 1.0 1.0βr3 1.0 0.8
Base ruttingβs1 1.0 1.0
Subgrade ruttingβs2 1.0 0.5
Validation(Calibrated models)
• 20% of the 38 sites (8 sites)
0
5
10
15
20
25
30
35
40
0 10 20 30 40
Pred
icte
d A
lliga
tor
Cra
ckin
g (%
)
Measured Alligator Cracking (%)
LTPP
PMS
Equality
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.0 0.1 0.2 0.3 0.4 0.5 0.6
Pred
icte
d ru
ttin
g, in
ch
Measured rutting, inch
LTPP
PMS
Equality
Statistical Analysis
Alligator cracking Total rutting
MeasuredBefore
calibrationAfter
calibration MeasuredBefore
calibrationAfter
calibrationAverage 2.0688 0.5512 2.0070 0.1945 0.2586 0.1852Standard deviation 4.9029 2.0661 1.4456 0.0670 0.0885 0.0628p-value(t-test) N/A 0.0000
0.8160(>0.05) N/A 0.0000
0.0552(>0.05)
p-value(F-test) N/A 0.0000 0.0000 N/A 0.0000
0.2176(>0.05)
N 371 371 371 363 363 363
Alligator cracking model and rutting models are improved.
Points to Ponder
• Start at the bottom: get “Level 3” established before $$ for Level 1.
• Although BIAS and/or ERROR are reduced, calibrated models will not be ‘perfect’.
• Calibration/Validation is an ONGOING effort.– Major emphasis in the Pvmt Mgmt section– Not all data is quality data: be intentional!
• Understand the SENSITIVITY of the models– New models are out there…
Acknowledgements• Mark Evans• Mark Greenwood• David Ross• Jacqueline Hou• Bobbie Jordan• Elizabeth Mayfield-Hart • Thomas Greg Nation• Sarah Tamayo• Tymli Frierson• Andrew Warren• Elisha Wright-Kehner• Claude Klinck
Dr. Robert P. Elliott Danny X. Xiao Daniel Byram Dr. Vu Nyguen Dr. Qiang Li Dr. Yangsheng Jiang Wenting Luo Lin Li