Each indicator has been analyzed to observe the data set and the specific results of each indicator. Table 2 shows that the summary of data collected from experts for structural indicators was only considered for this study.
Table 2: Case processing summary of structural indicators
Structural Defects
|
Cases
|
Valid
|
Missing
|
Total
|
N
|
Percent
|
N
|
Percent
|
N
|
Percent
|
Deflection
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
Fatigue (Alligator) Crack
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
Longitudinal Crack
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
Traverse (Thermal) Crack
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
Block Crack
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
Swell/Frost Heaving
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
It can be observed that there is no missing data item and all data points of the expert’s judgement are properly stored from raw data in SPSS. Raw data of each defect is carefully shifted in SPSS format to assess the results and correlations further. A separate box plot assessment is carried out in the next phase to observe the data distribution for all defects considered in the structural indicator category. Figure 4 shows the results of box plotting.
It is observed that the data is usually distributed and there is no outlier in the data set for all defects in structural indicators category. The minimum score of deflection defect is 1, whereas its maximum score is 4 given by the experts. The defection defect has major data set scores from 2 to 3 as its mean lies at score 2 at the 25th quartile. The case of traverse cracks and block cracks is similar. Whereas, it is observed that longitudinal cracks have similar data distribution like deflection, traverse and block crack but its mean lies at 75th quartile, which is mean score 3. The case of fatigue and swell/frost heaving is different. The minimum score of a fatigue crack is 2 whereas its major data set lies between the score of 3 to 4 with a mean score of 3 at the 25th quartile. Its maximum score is 4 and its 75th quartile has the same score. In case of swell/frost heaving, its minimum score is 1 and its maximum score is 3, which is also its 75th quartile. Swell/frost heaving has an average mean score of 2, which is its 25th quartile.
Table 3 shows the summary of data collected from experts for functional indicators considered for this study.
Table 3: Case processing summary of functional indicators
Functional Defects
|
Cases
|
Valid
|
Missing
|
Total
|
N
|
Percent
|
N
|
Percent
|
N
|
Percent
|
Rutting
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
Corrugation
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
Shoving
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
Potholes
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
Patching
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
Raveling
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
Bleeding/Flashing
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
Delamination
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
Drop-off
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
Polished Aggregates
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
Depression
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
Bumps/Sags
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
It can be observed that there is no missing data item and all data points of the expert’s judgement are properly stored from raw data in SPSS. Raw data of each defect is carefully shifted in SPSS format to assess the results and correlations further. A separate box plot assessment is carried out in the next phase to observe the data distribution for all defects considered in the functional indicator category. Figure 5 shows the results of box plotting.
It is observed that the data is almost normally distributed but it has few outliers. The minimum score of rutting defects is 2, whereas its maximum score is 4 given by the experts. The rutting defect major data set scores ranges from 2 to 4; therefore, its mean lies at score 3. The case of corrugation, raveling, bleeding/flashing, delamination and drop-off is very similar. Their minimum score is 1, which is also their 25th quartile score and their mean score is 2, which is also their 75th quartile score. Whereas, their maximum score is 3, given my all experts considered in this study. Shoving defect has some variations as its data is widely and there is no specific trend of its data. There can be much reason behind this outlier. It can be an expert’s misinterpretation of the defect or lack of coordination and information. Potholes and polished aggregates defects have a similar data trend as their minimum score is 1 and the maximum score is 4, whereas their maximum data sets are between 2 to 3, which are their scores at their 25th and 75th quartile. Despite such close association, it should be noted that their mean score is not similar. Pothole has higher mean score 3 as compare to polished aggregates, which have 2 mean score. Patching has different data distribution compared to all defects under functional indicators.
Patching 25th score and minimum scores are similar, whereas its 75th score and maximum score are also similar. The mean score of patching in this data set is 2 as per the data collected for this study. The defect depression has a minimum score of 2 which is also its 25th quartile. It has a maximum score of 4 but its mean score is 3, whereas its 75th quartile has 3.5 score. The last defect of this category is bumps/sags with a minimum score of 2 and a maximum of 4 at 75th quartile. Its mean score is 3 but there are two outliers observed in data set for this defect. Though, in this whole data set, it is not a big percentage of outliers it's hardly 3.8% of the collected data.
Table 4: Case processing summary of safety indicators
|
Cases
|
Valid
|
Missing
|
Total
|
N
|
Percent
|
N
|
Percent
|
N
|
Percent
|
Skid Resistance
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
Potholes
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
Edge Crack
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
Rut Depth
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
Rail Road Crossing
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
It can be observed that there is no missing data item and all data points of the expert’s judgement are properly stored from raw data in SPSS. Raw data of each defect is carefully shifted in SPSS format to assess the results and correlations further. A separate box plot assessment is carried out in the next phase to observe the data distribution for all defects considered in the safety indicator category. Figure 6 shows the results of box plotting.
It is observed that the data on defects in safety indicators varies for each defect. There is one defect with an outlier. The minimum score of skid resistance is 1, which is also its 25th quartile and its maximum score is 3. The mean score of skid resistance defect is 2, which is also its 75th quartile. The potholes minimum score is 1, and its maximum score is 4, whereas its mean score is 2, which is also its 25th quartile. The minimum score, 25th quartile and mean score of edge crack is 2, whereas its maximum score is 4. The rut depths 1, whereas its maximum score is 4 given by the experts. The defection defect has major data set scores from 2 to 3 as its mean lies at score 2 at 25th quartile. The case of traverse cracks and block crack is similar. Whereas, it is observed that longitudinal cracks have similar data distribution like deflection, traverse and block crack but its mean lies at 75th quartile which is mean score 3. The case of fatigue and swell/frost heaving is different. The minimum score of a fatigue crack is 2, whereas its major data set lies between the score of 3 to 4 with a mean score of 3 at the 25th quartile. Its maximum score is 4, and its 75th quartile has the same score. In the case of swell/frost heaving, its minimum score is 1 and its maximum score is 3, which is also its 75th quartile. Swell/frost heaving has an average mean score of 2, which is its 25th quartile.
Table 5 shows the summary of data collected from experts for serviceability indicators considered for this study.
Table 5: Case processing summary of serviceability indicators
|
Cases
|
Valid
|
Missing
|
Total
|
N
|
Percent
|
N
|
Percent
|
N
|
Percent
|
Roughness
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
Slippage Crack
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
Reflection Crack
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
Draining
|
283
|
100.0%
|
0
|
0.0%
|
283
|
100.0%
|
It can be observed that there is no missing data item and all data points of the expert’s judgement are properly stored from raw data in SPSS. Raw data of each defect is carefully shifted in SPSS format to assess the results and correlations further. A separate box plot assessment is carried out in the next phase to observe the data distribution for all defects considered in the serviceability indicator category. Figure 7 shows the results of box plotting.
Any PMS must explore the frequent defects and problems pavement is suffering from; therefore, defect identification is done and prioritize the key defects after the expert’s opinion. Table 6 shows the ranking of the defects typically observed in the flexible pavements.
Table 6: Ranking of all flexible pavement defects
Defects
|
Statistic
|
Statistic
|
Skewness
|
Kurtosis
|
Ranking
|
Mean
|
Std. Deviation
|
Statistic
|
Statistic
|
Bumps/Sags
|
3.1731
|
0.7598
|
-0.863
|
0.952
|
1
|
Fatigue (Alligator) Crack
|
3.0769
|
0.73688
|
-0.123
|
-1.108
|
2
|
Rutting
|
2.9808
|
0.75382
|
0.032
|
-1.205
|
3
|
Rut Depth
|
2.9808
|
0.72735
|
0.03
|
-1.058
|
3
|
Depression
|
2.9615
|
0.73994
|
0.062
|
-1.129
|
4
|
Potholes
|
2.7692
|
0.83114
|
0.037
|
-0.802
|
5
|
Longitudinal Crack
|
2.6923
|
0.80534
|
0.158
|
-0.682
|
6
|
Edge Crack
|
2.5577
|
0.69771
|
0.867
|
-0.447
|
7
|
Roughness
|
2.5192
|
0.72735
|
0.408
|
-0.222
|
8
|
Deflection
|
2.5
|
0.93934
|
0.148
|
-0.826
|
9
|
Polished Aggregates
|
2.4615
|
0.82751
|
0.235
|
-0.412
|
10
|
Traverse (Thermal) Crack
|
2.4038
|
0.7478
|
0.05
|
-0.218
|
11
|
Block Crack
|
2.3077
|
0.64286
|
0.079
|
-0.048
|
12
|
Potholes
|
2.2692
|
1.01199
|
0.488
|
-0.781
|
13
|
Draining
|
2.1154
|
0.70444
|
-0.166
|
-0.92
|
14
|
Swell/Frost Heaving
|
2.0962
|
0.7478
|
-0.16
|
-1.162
|
15
|
Shoving
|
2
|
0.68599
|
0
|
-0.794
|
16
|
Patching
|
1.9615
|
0.79117
|
0.069
|
-1.385
|
17
|
Drop-off
|
1.9038
|
0.7211
|
0.147
|
-1.018
|
18
|
Slippage Crack
|
1.8846
|
0.70444
|
0.166
|
-0.92
|
19
|
Raveling
|
1.8077
|
0.71506
|
0.302
|
-0.965
|
20
|
Bleeding/Flashing
|
1.7692
|
0.67491
|
0.313
|
-0.762
|
21
|
Reflection Crack
|
1.7692
|
0.70336
|
0.358
|
-0.893
|
21
|
Delamination
|
1.7115
|
0.66676
|
0.404
|
-0.719
|
22
|
Skid Resistance
|
1.6731
|
0.67798
|
0.511
|
-0.723
|
23
|
Corrugation
|
1.6346
|
0.62713
|
0.457
|
-0.607
|
24
|
Rail Road Crossing
|
0.2308
|
0.42544
|
1.316
|
-0.28
|
25
|
It has been observed that Bumps/ Sags are one of the major defects reported by the experts in pavements in Pakistan, followed by fatigue cracks. Rutting and rut depth stands at the third key defects reported in this study. Depression, potholes, longitudinal crack, edge crack, roughness and deflection are also regularly arising defects in pavement maintenance activities in Pakistan. Similar defect ranking were also observed in the previous studies (Rashid & Gupta, 2017)(Public, 2017)(Loprencipe & Pantuso, 2017)(Gáspár, 2017)(Van Geem et al., 2016).The result validation is done using standard deviation, skewness and kurtosis test. Most of the results are in the acceptance range of the three mentioned validation methods. It is analyzed that skid resistance, corrugation, and railroad crossing are rare types of defects in flexible pavements.
In the later phase, it was essential to analyze the possible relationship between the defects considered under four PMS indicators. It is crucial to observe that “Is there any close relation occur or do not occur between the defects” considered under all indicators for this PMS. So, the Chi-Square test is conducted to assess the relationship between the defects for flexible pavements. Table 7 shows the results of the test.
Table 7: Chi-Square test results
Structural Indicators
|
|
|
Deflection
|
Fatigue (Alligator) Crack
|
Longitudinal Crack
|
Traverse (Thermal) Crack
|
Block Crack
|
Swell/Frost Heaving
|
|
Chi-Square
|
9.231a
|
14.308a
|
19.231a
|
25.692a
|
38.923a
|
3.500b
|
|
df
|
3
|
3
|
3
|
3
|
3
|
3
|
|
Asymp. Sig.
|
.026
|
.006
|
.000
|
.000
|
.000
|
.174
|
|
a. 0 cells (0.0%) have expected frequencies less than 5. The minimum expected cell frequency is 13.0.
|
|
b. 0 cells (0.0%) have expected frequencies less than 5. The minimum expected cell frequency is 17.3.
|
|
Functional Indicators
|
|
Rutting
|
Corrugation
|
Shoving
|
Potholes
|
Raveling
|
Bleeding/Flashing
|
Delamination
|
Drop-off
|
Depression
|
Bumps/Sags
|
Chi-Square
|
2.808a
|
15.500b
|
9.846a
|
16.154b
|
6.731a
|
10.654a
|
11.577b
|
5.808b
|
3.962a
|
31.231a
|
df
|
3
|
3
|
3
|
3
|
3
|
3
|
3
|
3
|
3
|
3
|
Asymp. Sig.
|
.046
|
.067
|
.007
|
.081
|
.035
|
.033
|
.063
|
.045
|
.038
|
.041
|
a. 0 cells (0.0%) have expected frequencies less than 5. The minimum expected cell frequency is 17.3.
|
b. 0 cells (0.0%) have expected frequencies less than 5. The minimum expected cell frequency is 13.0.
|
Safety Indicators
|
|
Skid Resistance
|
Potholes
|
Edge Crack
|
Rut Depth
|
Rail Road Crossing
|
Chi-Square
|
11.115a
|
10.923a
|
15.269a
|
5.115a
|
15.077b
|
df
|
2
|
3
|
2
|
2
|
1
|
Asymp. Sig.
|
.004
|
.012
|
.000
|
.007
|
.000
|
a. 0 cells (0.0%) have expected frequencies less than 5. The minimum expected cell frequency is 17.3.
|
b. 0 cells (0.0%) have expected frequencies less than 5. The minimum expected cell frequency is 26.0.
|
Serviceability Indicators
|
|
Roughness
|
Slippage Crack
|
Reflection Crack
|
Draining
|
Chi-Square
|
30.000a
|
7.538a
|
8.000b
|
7.538a
|
df
|
3
|
3
|
3
|
3
|
Asymp. Sig.
|
.000
|
.023
|
.068
|
.023
|
a. 0 cells (0.0%) have expected frequencies less than 5. The minimum expected cell frequency is 13.0.
|
b. 0 cells (0.0%) have expected frequencies less than 5. The minimum expected cell frequency is 17.3.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
The correlation test results of structural indicators show that the defection, fatigue crack, longitudinal crack, traverse crack and block cracks rejects the null hypothesis thus, there is a close relationship between these defects in flexible pavements. There are possible chances that where deflection is observed in flexible pavements, there can also be fatigue crack, longitudinal crack, traverse crack, and block cracks. A similar relationship is also possible between these defects, which rejects the null hypotheses. Whereas, only frost heaving has no relationship observed between the defect types in structural indicator of the flexible pavement’s maintenance management. The correlation test results of functional indicators show that rutting, shoving, raveling, bleeding, depression and bumps rejects the null hypothesis and there is a close relationship between these defects There are possible chances that where rutting is observed, there can also be shoving, raveling, bleeding, depression, and bumps. Whereas, corrugation, potholes, delamination and drop off has no relationship observed between the defect types in functional indicator.
Similarly, safety indicators including skid resistance, potholes, edge crack and rut depth reject the null hypothesis. Hence, there is a close relationship between these defects There are possible chances that where skid resistance is observed then there can also be potholes, edge crack and rut depth. The serviceability indicators show that roughness, slippage crack and poor drainage reject the null hypothesis so, there is a close relationship between these defects There are possible chances that where roughness is observed in flexible pavements, then there can also be slippage crack and poor drainage.
In the end based on the results of the study, a PMS framework is proposed for developing countries as shown in figure 8.
The proposed PMS has three tier decision making approach. In tier one, the case selection is made. There can be possible three cases for any pavement maintenance scheme which includes; Emergency Case (Need based, Non predictable), Routine Case (Short term plans, require less time, efforts and funds) and Periodic Case (Long term plans, require more time, efforts and funds). Each case has its own implications and significance. Therefore, this framework will select the case first. In second tier, the indicators will be selected based on the feedback of tier one. Like for emergency case, road safety indicators have top most priority followed for functional and serviceability indicators as part of the similar suggestion is given by previous studies (Shabir Hussain Khahro et al., 2021)(Ding et al., 2013)(Heyns et al., 2012)(Manosalvas-Paredes et al., 2020)(Hamim et al., 2021). Similarly, the indicator selection for other cases is different as shown in the framework. In the third tier, the model will select the sub-indicators based on the second-tier results. Like for safety the sub indicators are different and the sub indicators will be selected based on their score. The sub-indicators are classified based on their scores in the expert’s feedback as shown in the Table 6 above. In class one sub indicator category, the defects with score more than 3 will be selected by the model. It is based on frequency and significance of the defect as per the scenario rated by the experts. Likewise, the defects with score between 2.5 to 3.0 are classified as class two. There are different defects which lie in class two as shown in the framework. In class three sub indicator category, the defects with score between 2.0 and 2.5 will be selected and the defects with score below 2.0 will be classified as last category by the model.
The model will group the tiers based on the different scenario required by the pavement maintenance management authority. The model will optimize the decision based on pavement defect type, its frequency and low-cost solution.