Previous Chapter: 3 LTPP Seasonal Monitoring Program
Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.

CHAPTER 4

Evaluation of Climatic Conditions

Definition of Seasons

A definition of season (i.e., spring, summer, fall, winter) was required to group the SMP climate data for analysis. The duration (months) of each season is typically defined as the change in the temperature cycles. For practical applications, seasons are typically set to have an equal duration (i.e., 3 months); however, seasonal changes can originate at various times each year and seasons can last more or less than 3 months depending on the location and climatic conditions. For example, the Minnesota DOT (MnDOT) defines five seasons using the three-day average temperature (TAVG), the thawing index (TI), and the FI (Table 12).

Table 12. MnDOT Season Definitions (adapted from Ovik et al. 1996)

Season Condition Begins Ends
Winter Layers frozen FI > 162°F-days TI > 25°F-days
Early Spring Base thaws TI > 25°F-days ~28 days layer
Late Spring Base recovers End of Season II TAVG > 63°F
Summer Higher temperatures, lower asphalt layer modulus TAVG > 63°F TAVG < 63°F
Fall Standard season TAVG < 63°F FI > 162°F-days

Climate data sources considered for the analysis included the PMED monthly climate summary file, generated as part of the output for each of the SMP sections, the LTPP Automatic Weather Station (AWS), and the Virtual Weather Station (VWS) tables. Due to the impact of moisture and frost penetration on layer moduli, precipitation, FI, and air temperature, were also taken into consideration.

Given a project location (i.e., longitude and latitude), PMED automatically selects several weather stations closest to the project and creates a VWS file (AASHTO 2020). The output file contains the monthly average values for a given climatic parameter over the project duration (Table 13). PMED only calculates an annual FI; however, sufficient data is available to calculate a seasonal FI.

Due to gaps in the data records the AWS weather information is limited compared to the VWS data. The VWS has significantly more points due to data acquisition from multiple OWSs (Operating Weather Stations). However, the selection of the OWS to form the statistical basis for a VWS is a critical consideration. Aspects such as the distance, elevation, terrain features, and temporal coverage between the OWS and VWS must be taken into consideration for the proper OWS selection.

Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.

Table 13. Climatic Data Sources

Source Inputs
PMED
  • Min., max., and avg. temperature (°F)
  • Avg. precipitation (in.)
  • Avg. wind speed (mph)
  • Average sunshine (%)
  • Number of wet days
  • Maximum frost depth (in.)
LTPP
  • Min., max., and avg. temperature (°C)
  • Min. and max. humidity (%)
  • Total day precipitation (mm)
  • Min., max., and avg. wind speed (m/s)

Schwartz et al. 2015 investigated the impact on pavement distress from different weather sources and concluded there were no systematic patterns in the discrepancies of PMED-predicted distresses using AWS versus MERRA versus VWS versus OWS weather data sources.

The daily air temperature and total precipitation values were grouped by month for all available years (typically, 20 to 30 years). The FI for each month is calculated using:

F I = i = 1 N ( T i 32 ) ,   T i < 32

(Eq. 37)

where:

FI =  Freezing Index (°F-day)
Ti =  average air temperature for day “i” (°F)

The average monthly data from each climatic zone was used to determine overall trends in air temperature and FI. In the case of air temperature, as expected, July was the warmest month and January was the coldest month regardless of climatic zone (Figure 20a). At the same time, it was expected the WF and DF climatic zones would present a clear division between the freezing and thawing periods, reflected as a difference in the FI (Figure 20b). In both the WF and DF zones, January was perceived to have the highest FI.

Average monthly air temperature and FI (all climatic zones)
Figure 20. Average monthly air temperature and FI (all climatic zones).

Precipitation did not follow the same behavior across all climatic zones. For DF and DNF climatic zones, a significant increase was observed from June to August, while WF and WNF climatic zones had more uniform precipitation distribution throughout the year (Figure 21).

Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
Average precipitation vs month (all climatic zones)
Figure 21. Average precipitation vs month (all climatic zones).

Consecutive months were grouped into seasons for each climatic zone and SMP section based on having values below established limits for air temperature and FI. The grouping effort initially assumed four seasons (spring, summer, fall, and winter), and each season consisted of no more than 5 months. However, the climate data did not clearly differ between spring and fall seasons, therefore, consecutive months for winter and summer seasons were defined using the climatic data with fall and spring occurring between these two defined seasons (e.g., winter defined as December to March, summer defined as June to August; therefore, spring defined as April to May and fall defined as September to November). The winter season for the DF climatic zone was defined using the percent difference between the average FI (from all months) and the FI per month (Table 14).

Table 14. Season Criteria – DF Climatic Zone

Season Begin End
Winter |(FIi – FIAVG)/FIAVG | ≥ 0.50 |(FIi – FIAVG)/FIAVG | < 0.50
Spring End of Winter Start of Summer
Summer |(Ti – TJul)/TJul| ≤ 0.25 |(Ti – TJul)/TJul| > 0.25
Fall End of Summer Start of Winter

Notes: Flavg = Average seasonal FI (°F-days).

TJul = Average air temperature for July (°F).

Using FI for a given month, for all sections, made it difficult to establish an absolute limit (e.g., 300, 400 or 500 °F-day) (Figure 22a). However, using the percent difference in FI from one month to the next, more significant changes in FI were noted (Figure 22b).

Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
FI for DF sections
Figure 22. FI for DF sections.

Figure 23 illustrates the mean air temperature by month for the SMP sections in the DF climatic zone. There’s no clear distinction of summer based on average monthly air temperature; therefore, the percent difference between the July temperature and the temperature for the other months was used to define the summer season (Figure 23b).

Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
Average monthly air temperature and percent air temperature difference (DF sections)
Figure 23. Average monthly air temperature and percent air temperature difference (DF sections).

The winter and summer seasons for the WF climatic zone were defined using a similar approach as the DF climatic zone. However, the percent difference criteria were adjusted to reflect the northern climates (Table 15).

Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.

Table 15. Season Criteria – WF Climatic Zone

Season Begin End
Winter |(FIi – FIAVG)/FIAVG| ≥ 0.60 |(FIi – FIAVG)/FIAVG| < 0.60
Spring End of Winter Start of Summer
Summer |(Ti – TJul)/TJul| ≤ 0.20 |(Ti – TJul)/TJul| > 0.25
Fall End of Summer Start of Winter

The winter season for the DNF and WNF climatic zones could not be differentiated using the FI due to the relatively low monthly variation; therefore, the percent difference criteria was based on the comparison of the January air temperatures to all other months (Table 16 and Table 17 for DNF and WNF, respectively). For summer, the limit was reduced to a stricter value due to the closeness in air temperature between July and the rest of the months.

Table 16. Season Criteria – DNF Climatic Zone

Season Begin End
Winter |(Ti – TJan)/TJan| ≤ 0.25 |(Ti – TJan)/TJan| > 0.25
Spring End of Winter Start of Summer
Summer |(Ti – TJul)/TJul| ≤ 0.05 |(Ti – TJul)/TJul| > 0.05
Fall End of Summer Start of Winter

Notes: TJan = Average air temperature for January (°F).

Table 17. Season Criteria – WNF Climatic Zone

Season Begin End
Winter |(Ti – T1)/T1| ≤ 0.25 |(Ti – T1)/T1| > 0.25
Spring End of Winter Start of Summer
Summer |(Ti – T7)/T7| ≤ 0.05 |(Ti – T7)/T7| > 0.05
Fall End of Summer Start of Winter

Appendix E includes a summary of season definitions (by month) by SMP section.

AASHTO 1993 Guide Seasonal Adjustment Model

As described previously, the AASHTO 1993 Guide recommends two approaches for conducting seasonal adjustments: a laboratory relationship between moisture content and modulus and a seasonal deflection measurement method. Using the seasonal deflection measurement method, the subgrade resilient modulus

Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.

was determined for each LTPP SMP section. Prior to backcalculating the resilient moduli, data were filtered according to:

  • Surface layer: The seasonal adjustment model was developed for asphalt pavements; therefore, concrete pavements were excluded from the analysis.
  • Lane number: The FWD measurements for the outer wheel path was extracted for this analysis (refer to Figure 19). Data tested on the mid-lane was not included in the analysis. Typically, agencies conduct FWD testing in the outer wheel path due to traffic control restrictions (i.e., placing FWD equipment at mid-lane requires traffic control on adjacent lanes).
  • Drop height: Deflections associated with 6,000, 9,000, 12,000, and 15,000 lbs (drop heights one through four, respectively) were extracted. An analysis of variance (ANOVA) was conducted to determine if the applied load had a significant influence on the backcalculated moduli. The variance across the means between drop heights two through four was determined. Not all FWD tests included drop height one. A p-value of 0.05 was used to assign statistical significance. The analysis indicated the layer moduli did not significantly differ by drop height (Table 18 and Figure 24). Therefore, a drop height equivalent to 9,000 lbs. was used in the analysis.

Table 18. ANOVA Results – p-values

Scenario Asphalt Gravel Base Subgrade
Drop height 1 to 4 0.06 0.00 0.03
Drop height 2 to 4 0.59 0.08 0.39
Average layer modulus vs drop height (all FWD tests)
Figure 24. Average layer modulus vs drop height (all FWD tests).
Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
  • Non-decreasing deflection: FWD tests with deflection values at a sensor offset “Si” greater than deflection values at a sensor closer to the point of force application “Si-1” were removed from the analysis. Figure 25 illustrates an example of two deflection basins measured at the same location, approximately 1 month apart. The FWD test performed in December 1993 shows a discontinuity (i.e., lower deflection) at 18 inches compared to the deflections measured at 8 and 24 inches. In comparison, the deflections measured in January 1994 show a more typical progressive decline in deflection with an increase in sensor offset distance.
Example of decreasing deflections (Section 27-1028)
Figure 25. Example of decreasing deflections (Section 27-1028).

Table 19 provides a summary of deflection basins, by climatic zone, used in the analysis.

Table 19. Summary of Deflection Basins by Climatic Zone

Climatic Zone Total No. of Deflection Basins1 No. of Deflection Basins Removed2 No. of Deflection Basins Used
DF 1,111,935 985,820 126,115
DNF 577,155 505,487 71,668
WF 2,754,773 2,443,380 311,393
WNF 1,219,913 1,078,147 141,766
Total 5,663,776 5,012,834 650,942

1 Includes all FWD tests.

2 Tests removed included middle-lane (F1), drop heights 1, 3, and 4, and non-decreasing deflection pattern.

The subgrade resilient modulus from a single deflection measurement is expressed as (AASHTO 1993):

M R = 0.24 p d r r

(Eq. 38)

where:

MR =  subgrade resilient modulus (psi)
P =  applied load (lb)
dr =  deflection at a distance r from the center of the load (in.)
Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
r =  distance from center of load (in.)

The LTPP database expressed the applied load in terms of pressure. To migrate from pressure to load, the following equation was used.

P = σ A

(Eq. 39)

where:

P =  applied load (lb)
σ =  applied stress (psi)
A =  FWD load plate area (in2), a plate radius of 6 in. was used at all LTPP FWD testing locations)

The subgrade resilient modulus calculation was repeated at every sensor offset by modifying the distance from the center of load (e.g., 24 in., 36 in., 48 in.) and the lowest resulting value was selected to represent the subgrade resilient modulus for each testing point. A subgrade modulus adjustment factor, normalized to the summer resilient modulus, was determined for the spring, fall and winter modulus using the following equation:

F s e a s o n = M R S e a s o n M R S u m m e r

(Eq. 40)

where:

Fseason =  adjustment factor for spring, fall or winter
MR Season =  resilient modulus for spring, fall or winter (psi)
MR Summer =  resilient modulus for summer (psi)

The modulus adjustment factor was determined for each state by averaging the corresponding seasonal factor for each SMP section within that state. As an example, Table 20 includes the calculated subgrade resilient modulus, and section and state adjustment factors for the three asphalt-surfaced SMP sections in Minnesota. For these sections, the maximum subgrade resilient modulus occurs during the winter months (e.g., frozen condition) and the lowest subgrade resilient modulus occurs during the fall months.

Table 20. Example of Subgrade Resilient Modulus (Minnesota)

Section Average Subgrade Modulus (psi)1 Seasonal Adjustment Factor
Spring Summer Fall Winter Spring Summer Fall Winter
27-1018 26,183 (14,626) 20,063 (509) 18,427 (912) 75,938 (44,311) 1.31 1.00 0.92 3.79
27-1028 30,179 (14,882) 22,577 (363) 20,759 (258) 58,832 (23,120) 1.34 1.00 0.92 2.61
27-6251 37,765 (13,543) 30,576 (538) 27,915 (979) 74,900 (46,517) 1.24 1.00 0.91 2.45
Statewide 31,376 (5,883) 24,405 (5,490) 22,367 (4,944) 69,890 (9,591) 1.29 1.00 0.92 2.95

1 Standard deviation is shown in parenthesis.

The ranges in seasonal subgrade adjustment factors for each climatic zone are presented in Figure 26 (Appendix F provides the subgrade seasonal adjustment factors for each SMP section). As expected, the

Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.

WF and DF climatic zones tend to have greater variability in the seasonal adjustment factor compared to the WNF and DNF climatic zones.

Subgrade seasonal adjustment factor per climatic zone (AASHTO 1993)
Figure 26. Subgrade seasonal adjustment factor per climatic zone (AASHTO 1993).

States containing two or more SMP sections were further analyzed using ANOVA with post-hoc Tukey comparison to determine whether a state’s adjustment factor could be accurately applied regardless of FWD testing location within the state. Of the 10 states with two or more asphalt-surfaced SMP sections, only Alabama, Arizona, Minnesota, New Jersey, and Texas had sections where the difference in means was not statistically significant. As an example, Figure 27 illustrates the Tukey method results for the Minnesota SMP sections for the difference of subgrade resilient modulus means for winter and summer seasons. The average difference in means between the two sections listed for each row on the y-axis is represented by the blue dots, while the whiskers depict the confidence interval (95%). If the 95% confidence interval does not include zero, it implies the difference in moduli between the two sections is significantly different and a single statewide adjustment factor would not be appropriate. If the whisker range includes zero, it means that the means are statistically the same (x?1 = x?2), and a statewide adjustment factor would be appropriate.

Tukey Test for Minnesota asphalt sections – subgrade
Figure 27. Tukey Test for Minnesota asphalt sections – subgrade.
Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.

Enhanced Integrated Climatic Model

To quantify the climatic conditions at the SMP sections using the EICM, the required PMED inputs were extracted from the LTPP database tables. If data were missing, the PMED default parameters were used. Table 21 summarizes the required PMED inputs and the LTPP table references. The inputs for layer type, layer thickness, subgrade soil classification, and construction data for each SMP section are included in Appendix G.

This analysis intended to only extract the outputs from the EICM and not those for pavement design purposes.

Table 21. PMED Input Parameters

Input Category Consideration
Traffic Default:
  • 4,000 average annual daily truck traffic
  • 50% truck distribution
  • 95% trucks in design lane
  • 60 mph operational speed
Climate Closest climate station to the SMP section (MERRA data)
Pavement Structure Type: new
Pavement type: flexible pavement
Design life: 20 years
Traffic operation date: first FWD test
Asphalt binder grade: PG 64-22

The PMED generates intermediate files containing relevant information regarding the modulus adjustment factors and moisture contents on a month/sub-month basis for each granular and subgrade sublayer. PMED also generates intermediate files with modulus variation for all sublayers over the design period (Table 22).

Table 22. PMED intermediate Files

File name Intermediate file content Frequency
space.dat
  • Number of sublayers, layers, and the corresponding thicknesses
  • Adjustment factor and moisture content for each sublayer
Monthly
modulus.tmp (asphalt designs only)
  • Number of sublayers, layer, and layer type
  • For each sublayer:
  • Adjusted modulus values
  • Poisson’s ratio
  • Frequency (asphalt layers)
  • Temperature (asphalt layers)
Sub-monthly
PCCModulus.txt (concrete only)
  • Estimates for concrete flexural strength and modulus for the first 12 months and annually
Monthly
thermal.tmp
  • Like the thermal.dat file, but includes the first two sublayers’ values and then every other column
Hourly
Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.

The PMED modulus adjustment factors were averaged by season using the information contained in the space.dat intermediate file. The modulus adjustment factors for the aggregate base and the subgrade layer were averaged for all sublayers within the corresponding layer. Since PMED adjustment factors are not normalized to the seasons or months (e.g., summer values could be different from 1.0), the output factors were changed to reflect a similar pattern as the AASHTO 1993 Guide criteria. Of the 85 SMP sections, 63 sections included an aggregate base, and the remaining 22 sections included an asphalt- or cementitious-treated base (modulus adjustment factor was set to 1.0) or no base at all.

For the asphalt layer, the modulus.tmp intermediate file was used. The adjustment factor was calculated by normalizing the seasonal modulus to the summer modulus value. Figure 28 illustrates the asphalt layer seasonal adjustment factors for all climatic zones. The average asphalt layer adjustment factor was similar for each season regardless of the climatic zone. However, asphalt layer modulus adjustment factors for SMP sections in the WF and WNF climatic zones had a wider range for the winter seasons than those in the DF and DNF climatic zones.

Asphalt layer seasonal adjustment factors
Figure 28. Asphalt layer seasonal adjustment factors.

As expected, the DF and WF climatic zones had significantly higher modulus adjustment factors for the winter season compared to the DNF and WNF climatic zones (Figure 29a). The average aggregate base modulus adjustment factor for the DF and WF climatic zones was approximately 10. However, the interquartile range for the DF climatic zone ranged from 3 to 16 with a maximum value of 23, while the WF climatic zone modulus adjustment factor ranged from 1 to 20 with a maximum value of 35. The median value of the DF climatic zone was equal to the mean of the WF climatic zone. In the WF climatic zone, 50% of the WF adjustment factors for winter were below 1.5 while 50% of the DF adjustment factors for winter were below 10. The high range in the WF climatic zone was caused by the higher adjustment factors for the SMP sections in Minnesota and Canada.

The results for the subgrade layer are similar to those for the aggregate base; however, the average modulus adjustment factor for the DF and WF climatic zones was 3 and 8, respectively (Figure 29b). The DF climatic zone has more sections with a significantly high adjustment factor. In addition, the upper quartile adjustment factor for the WF climatic zone (i.e., 75% of the data) was below 1.4 while the DF climatic zone reached adjustment factors of 4.2.

Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
Seasonal adjustment factors for aggregate base and subgrade
Figure 29. Seasonal adjustment factors for aggregate base and subgrade.

For the concrete surface layer, the seasons did not significantly affect adjustment factors in any of the climatic zones (i.e., all adjustment factors were 1.0). This is expected as PMED predicts a continuous elastic modulus increase during the first curing days, followed by an asymptotic behavior once the design strength has been reached.

Appendix H includes the seasonal layer modulus adjustment factors for each asphalt pavement SMP section.

Comparison of AASHTO 1993, EICM, and LTPP

Due to significant variation in adjustment factors for the SMP sections in climates with freezing conditions, a comparison was made between the PMED predicted and LTPP backcalculated layer moduli. Four sections, with considerable numbers of data points over the study period, were selected from each climatic zone to illustrate the results of the comparison (all results are provided in Appendix I). It is important to emphasize that while the FWD tests were performed at multiple hours, locations, and times of the year, PMED predicts a single monthly value at a constant interval; therefore, prohibiting a point-to-point comparison.

Figure 30 illustrates a comparison of the PMED predicted and the LTPP backcalculated aggregate base moduli for the DF, DNF, WF, and WNF climatic zones. The peaks seen in Sections 08-1053 and 25-1002 depict the maximum modulus PMED applied during winter due to the temperature and moisture content. For DF and WF climatic zones, the PMED-predicted module was significantly more variable (and higher) compared to the LTPP backcalculated moduli. A significant difference in aggregate base layer modulus appears for the DF and WF climatic zones. In these cases, PMED predicted a maximum aggregated base modulus of 1,000,000 psi during the coldest months. For Section 08-1053, the PMED-predicted aggregate base modulus was nearly 50 times higher during August-September than the LTPP backcalculated aggregate base layer moduli. For Section 25-1002, the PMED-predicted aggregate base layer moduli were nearly 10 times the LTPP backcalculated aggregate base layer moduli in November and December.

Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
PMED predicted vs LTPP backcalculated aggregate base moduli
Figure 30. PMED predicted vs LTPP backcalculated aggregate base moduli.

Similarly, Figure 31 compares the PMED predicted and LTPP backcalculated subgrade moduli for the same SMP sections. The PMED-predicted subgrade moduli were closer to the LTPP backcalculated moduli compared to those of the aggregate base layer. In all cases, the LTPP backcalculated subgrade modulus was higher than the PMED predicted modulus, averaging 35,000 to 40,000 psi and 15,000 to 20,000 psi, respectively.

Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
PMED-predicted vs LTPP backcalculated subgrade moduli
Figure 31. PMED-predicted vs LTPP backcalculated subgrade moduli.

The average moduli and standard deviations determined from the AASHTO 1993, PMED, and LTPP methods, by climatic zone, are summarized in Table 23 to Table 25 for the asphalt layer, base layer, and subgrade, respectively.

Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.

Table 23. PMED and LTPP Average Moduli and Standard Deviations – Asphalt Layer

Average Modulus (ksi) Standard Deviation (ksi)
Climatic Zone Method Spring Summer Fall Winter Spring Summer Fall Winter
DF PMED 1,695 1,180 2,897 3,095 847 415 338 95
LTPP 1,047 456 1,277 3,488 847 259 957 2,790
WF PMED 1,682 900 2,554 3,071 720 306 630 147
LTPP 1,006 514 1,097 3,267 856 268 1,094 2,870
DNF PMED 1,336 892 2,449 2,759 612 315 574 329
LTPP 975 583 932 1,411 495 243 556 634
WNF PMED 992 716 1,993 2,413 574 244 683 568
LTPP 835 1,268 1,255 2,325 857 1,935 1,511 1,828

Table 24. PMED and LTPP Average Moduli and Standard Deviations – Base Layer

Average Modulus (ksi) Standard Deviation (ksi)
Climatic Zone Method Spring Summer Fall Winter Spring Summer Fall Winter
DF PMED 29 36 111 285 8 2 198 339
LTPP 21 17 24 86 20 8 30 81
WF PMED 40 30 91 280 102 3 214 384
LTPP 27 26 27 74 26 13 30 78
DNF PMED 39 39 39 39 1 1 1 2
LTPP 24 34 23 26 15 25 16 16
WNF PMED 33 34 33 34 3 3 3 3
LTPP 26 47 31 32 22 49 30 29
Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.

Table 25. PMED, LTPP, and AASHTO 1993 Average Moduli and Standard Deviations – Subgrade

Average Modulus Standard Deviation
Climatic Zone Method Spring Summer Fall Winter Spring Summer Fall Winter
DF PMED 30 11 12 45 5 5 10 71
LTPP 30 27 30 59 22 18 22 44
AASHTO 17 16 17 23 7 6 6 9
WF PMED 36 13 26 134 129 4 89 281
LTPP 50 48 42 64 73 80 53 69
AASHTO 27 24 26 37 15 7 8 26
DNF PMED 17 19 17 18 6 6 6 6
LTPP 36 47 47 47 15 17 35 29
AASHTO 28 34 27 10 9 11 10 9
WNF PMED 13 13 13 14 6 6 6 6
LTPP 33 29 38 25 23 23 29 14
AASHTO 22 23 23 22 10 13 10 13

An ANOVA was used to compare the average layer moduli from AASHTO 1993, PMED, and LTPP for each layer, climatic zone, and season. For AASHTO 1993, only the subgrade moduli were applicable to this analysis. As shown in Table 26 and Table 27, in most cases, the means were significantly different between AASHTO 1993 and LTPP and between PMED and LTPP.

Table 26. ANOVA Layer Modulus Results AASHTO 1993 vs LTPP

Climatic Zone Spring Summer Fall Winter
DF SD SD SD SD
WF SD SD SD SD
DNF SD SD SD SD
WNF SD NSD SD NSD

Note: SD – statistically different and NSD – not statistically different.

Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.

Table 27. ANOVA Results PMED vs LTPP Layer Moduli

Climatic Zone Layer Spring Summer Fall Winter
DF Asphalt SD SD SD SD
Base SD SD SD SD
Subgrade SD SD SD NSD
WF Asphalt SD SD SD SD
Base NSD SD SD SD
Subgrade NSD SD SD SD
DNF Asphalt SD SD SD SD
Base SD SD SD SD
Subgrade SD SD SD SD
WNF Asphalt SD SD SD NSD
Base SD SD SD NSD
Subgrade SD SD SD SD

Note: SD – statistically different and NSD – not statistically different.

Potential differences between AASHTO 1993, LTPP, and PMED layer moduli values may be a function of several factors. The AASHTO 1993 procedure was based on the conditions from the AASHO Road Test in Ottawa, IL. The results of the Road Test were compiled and assessed for application to other roadway locations and conditions. The AASHTO 1993 method also adjusts subgrade moduli using a relative damage factor which may vary depending on-site-specific conditions from those estimated from the AASHO Road Test. The backcalculated layer moduli contained within the LTPP database were generally determined using a pavement model consisting of a surface layer (asphalt or concrete), a base layer (e.g., gravel base, cementitious base, asphalt base), and two subgrade layers. However, other pavement models (e.g., use of stiff layer, two-layer system) may have resulted in improved layer moduli estimates. For the PMED analysis conducted in this study, different pavement models were evaluated to generate more reasonable layer moduli values. Finally, the PMED analysis provides layer moduli for each day and month of the performance period. In contrast, some of the LTPP sections did not have layer moduli for all months of the evaluation period.

Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
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Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
Page 40
Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
Page 41
Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
Page 42
Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
Page 43
Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
Page 44
Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
Page 45
Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
Page 46
Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
Page 47
Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
Page 48
Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
Page 49
Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
Page 50
Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
Page 51
Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
Page 52
Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
Page 53
Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
Page 54
Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
Page 55
Suggested Citation: "4 Evaluation of Climatic Conditions." National Academies of Sciences, Engineering, and Medicine. 2024. LTPP Data Analysis: Improving Use of FWD and Longitudinal Profile Measurements. Washington, DC: The National Academies Press. doi: 10.17226/28570.
Page 56
Next Chapter: 5 FWD Deflection Analysis and Adjustment
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