Results from the silhouette coefficient average measures for each reporting area are presented in Table 1. The results ascertain that the average silhouette values for both k = 3 and k = 4 produce reasonable to strong partitioning except for 2011 under CRT where the values for k = 3 where below 0.5, hence k = 4 was used in this case. Therefore, based on method criteria and interpretability of the data set, either k = 3 and k = 4 were used where reasonable to strong partitions were identified in the average silhouette measures. As such, k = 4 was used when more variation could be provided in the data from four clusters, and k = 3 was used when three clusters provided more variation than four clusters. For VMMC and PEP programmatic areas, the number of health facilities was not enough to conduct cluster analysis in the year 2011.
Table 1
Average of the Silhouette of a k-means clustering when k = 3 and k = 4.
Average Silhouette Measures |
HTC | PMTCT | CRT |
Year | K = 3 | K = 4 | Year | K = 3 | K = 4 | Year | K = 3 | K = 4 |
2011 | 0.800 | 0.775 | 2011 | 0.674 | 0.706 | 2011 | 0.368 | 0.582 |
2012 | 0.526 | 0.563 | 2012 | 0.585 | 0.588 | 2012 | 0.556 | 0.599 |
2013 | 0.659 | 0.648 | 2013 | 0.654 | 0.632 | 2013 | 0.637 | 0.618 |
2014 | 0.669 | 0.669 | 2014 | 0.676 | 0.666 | 2014 | 0.692 | 0.663 |
2015 | 0.737 | 0.709 | 2015 | 0.649 | 0.711 | 2015 | 0.710 | 0.705 |
2016 | 0.749 | 0.754 | 2016 | 0.791 | 0.774 | 2016 | 0.708 | 0.710 |
2017 | 0.685 | 0.673 | 2017 | 0.699 | 0.677 | 2017 | 0.696 | 0.700 |
2018 | 0.593 | 0.714 | 2018 | 0.689 | 0.707 | 2018 | 0.654 | 0.701 |
VMMC | PEP | BS |
Year | K = 3 | K = 4 | Year | K = 3 | K = 4 | Year | K = 3 | K = 4 |
2011 | a | a | 2011 | 0.704 | 0.679 | 2011 | a | a |
2012 | 1.00 | b | 2012 | 0.593 | 0.605 | 2012 | 0.734 | 0.730 |
2013 | 0.64 | 0.669 | 2013 | 0.639 | 0.629 | 2013 | 0.732 | 0.687 |
2014 | 0.634 | 0.661 | 2014 | 0.675 | 0.667 | 2014 | 0.712 | 0.650 |
2015 | 0.733 | 0.681 | 2015 | 0.682 | 0.673 | 2015 | 0.617 | 0.641 |
2016 | 0.708 | 0.699 | 2016 | 0.696 | 0.665 | 2016 | 0.719 | 0.680 |
2017 | 0.765 | 0.733 | 2017 | 0.621 | 0.611 | 2017 | 0.577 | 0.637 |
2018 | 0.657 | 0.636 | 2018 | 0.650 | 0.673 | 2018 | 0.610 | 0.607 |
a: There are not enough valid cases to conduct the specified cluster analysis. |
b: In the data, there is insufficient variation to honor the four clusters specified. The number of clusters is reduced to 3 |
The four clusters were characterized based on health facility performance as follows:
Best performers
This cluster consisted of health facilities that had the highest percentage in reporting completeness and timeliness in a particular reporting year.
Average performers
This cluster consisted of health facilities that had lower percentage in reporting completeness and timeliness compared to best performers in a particular year.
Poor performers
This cluster consisted of health facilities with lowest percentage in reporting completeness and timeliness in a particular year.
Outlier performers
This cluster consisted of health facilities with high percentage in completeness compared to average performers, but with low percentage in timeliness in that particular year.
It is worth noting that there were no clusters with low completeness and high timeliness as reports cannot be on time if they were not submitted in the first place. Detailed results by cluster for each reporting programmatic area are outlined below.
In Table 2 and Fig. 1, we present the segmentation of facilities based on performance clusters according to the HTC programmatic area. Based on performance trends presented in Fig. 1 for HTC, the proportion of best performing facilities accounted for 72.55% in 2016, which was a progressive increase from 31.50% in 2012. Nonetheless, in 2017 and 2018 the proportion of best performing facilities accounted for 58.30% and 51.08% respectively, which was a progressive decrease from 72.55% in 2016. On the other hand, the proportion of poor performing facilities accounted for 3.40% in 2016, which was a progressive decrease from 74.93% in 2011. However, the proportion of poor performing facilities accounted for 13.49% in 2018, which was a progressive increase from 3.40% in 2016.
The proportion of average and outlier performing facilities varied in the different years with no steady trend. Nonetheless, in the latter years, the proportion of average performing facilities accounted for 20.02% in 2018, which was a progressive increase from 6.00% in 2016. On the other hand, proportion of outlier performers accounted for 15.40% in 2018, which was a decrease from 18.02% in 2017.
Table 2
HIV Testing and Counselling (HTC)-health facility segmentation based on performance clusters
Year | 2011 | | | | 2012 | | | |
Clusters | Best n = 0 | Average n = 177 | Poor n = 556 | Outlier n = 9 | Best n = 1206 | Average n = 1301 | Poor n = 794 | Outlier n = 528 |
MOH 731-1 HTC Completeness | 0.00 | 24.49 | 13.07 | 91.67 | 90.08 | 55.30 | 25.68 | 86.75 |
MOH 731-1 HTC Timeliness | 0.00 | 16.63 | 2.91 | 21.30 | 80.47 | 45.65 | 16.11 | 46.17 |
Year | 2013 | | | | 2014 | | | |
Clusters | Best n = 3219 | Average n = 806 | Poor n = 437 | Outlier n = 427 | Best n = 3837 | Average n = 568 | Poor n = 297 | Outlier n = 615 |
MOH 731-1 HTC Completeness | 96.73 | 68.77 | 32.96 | 89.86 | 98.18 | 73.07 | 33.75 | 95.94 |
MOH 731-1 HTC Timeliness | 89.55 | 57.33 | 21.63 | 43.00 | 92.96 | 62.42 | 23.02 | 54.06 |
Year | 2015 | | | | 2016 | | | |
Clusters | Best n = 3916 | Average n = 1172 | Poor n = 296 | Outlier n = 282 | Best n = 4376 | Average n = 362 | Poor n = 205 | Outlier n = 1089 |
MOH 731-1 HTC Completeness | 99.40 | 88.30 | 34.57 | 93.09 | 99.34 | 69.15 | 31.47 | 91.29 |
MOH 731-1 HTC Timeliness | 96.33 | 71.71 | 27.45 | 33.45 | 95.89 | 51.07 | 20.29 | 74.04 |
Year | 2017 | | | | 2018 | | | |
Clusters | Best n = 3698 | Average n = 1164 | Poor n = 338 | Outlier n = 1143 | Best n = 3403 | Average n = 1334 | Poor n = 899 | Outlier n = 1026 |
MOH 731-1 HTC Completeness | 97.98 | 64.47 | 32.69 | 94.20 | 88.48 | 52.68 | 26.87 | 77.35 |
MOH 731-1 HTC Timeliness | 93.92 | 57.04 | 23.59 | 64.33 | 86.93 | 48.84 | 22.98 | 64.65 |
In Table 3 and Fig. 2, we present the segmentation of facilities based on performance clusters according to the PMTCT programmatic area. Based on performance trends presented in Fig. 2 for PMTCT, the proportion of best performing facilities accounted for 74.01% in 2015, which was a progressive increase from 18.80% in 2011. Nonetheless, in 2018 the proportion of best performing facilities accounted for 47.15%, which was a progressive decrease from 74.01% in 2015. On the other hand, the proportion of poor performing facilities accounted for 3.66% in 2015, which was a progressive decrease from 77.07% in 2011. However, in 2018 the proportion of poor performing facilities accounted for 14.61%, which was a progressive increase from 3.66% in 2015.
The proportion of average and outlier performing facilities varied in the different years with no steady trend. Nonetheless, for the latter years, proportion of average performing facilities accounted for 20.34% in 2018, which was an increase from 17.19% in 2017. On the other hand, proportion of outlier performers accounted for 17.90% in 2018, which was an increase from 3.65% in 2016.
Table 3
Prevention of mother to child transmission (PMTCT) - health facility segmentation based on performance clusters
Year | 2011 | | | | 2012 | | | |
Clusters | Best n = 132 | Average n = 20 | Poor n = 541 | Outlier n = 9 | Best n = 1052 | Average n = 1230 | Poor n = 782 | Outlier n = 508 |
MOH 731-2 PMTCT Completeness | 21.67 | 38.32 | 12.91 | 91.67 | 90.03 | 55.51 | 26.09 | 85.65 |
MOH 731-2 PMTCT Timeliness | 18.64 | 4.58 | 2.81 | 18.52 | 80.87 | 45.55 | 16.20 | 47.33 |
Year | 2013 | | | | 2014 | | | |
Clusters | Best n = 2277 | Average n = 1188 | Poor n = 527 | Outlier n = 444 | Best n = 2737 | Average n = 1210 | Poor n = 277 | Outlier n = 586 |
MOH 731-2 PMTCT Completeness | 97.73 | 84.02 | 37.19 | 85.98 | 98.61 | 89.43 | 37.03 | 96.26 |
MOH 731-2 PMTCT Timeliness | 92.11 | 63.53 | 26.11 | 29.70 | 92.31 | 59.29 | 24.02 | 14.54 |
Year | 2015 | | | | 2016 | | | |
Clusters | Best n = 3785 | Average n = 517 | Poor n = 187 | Outlier n = 625 | Best n = 2732 | Average n = 1156 | Poor n = 237 | Outlier n = 194 |
MOH 731-2 PMTCT Completeness | 98.84 | 75.61 | 30.34 | 98.13 | 99.43 | 90.03 | 37.95 | 89.32 |
MOH 731-2 PMTCT Timeliness | 91.22 | 61.72 | 21.97 | 38.76 | 95.42 | 72.36 | 25.98 | 38.46 |
Year | 2017 | | | | 2018 | | | |
Clusters | Best n = 3456 | Average n = 944 | Poor n = 348 | Outlier n = 744 | Best n = 2685 | Average n = 1259 | Poor n = 832 | Outlier n = 1018 |
MOH 731-2 PMTCT Completeness | 97.58 | 64.96 | 38.51 | 93.73 | 88.48 | 53.03 | 27.69 | 79.02 |
MOH 731-2 PMTCT Timeliness | 91.54 | 58.59 | 26.55 | 54.52 | 86.72 | 48.22 | 22.65 | 63.20 |
In Table 4 and Fig. 3, we present the segmentation of facilities based on performance clusters according to the CRT programmatic area. Based on performance trends presented in Fig. 3 for CRT, the proportion of best performing facilities accounted for 75.49% in 2016, which was a progressive increase from 5.65% in 2011. Nonetheless, in 2018 the proportion of best performing facilities accounted for 53.24%, which was a progressive decrease from 75.49% in 2016. On the other hand, the proportion of poor performing facilities accounted for 2.99% in 2016, which was a progressive decrease from 71.75% in 2011. However, in 2018 the proportion of poor performing facilities accounted for 17.47%, which was a progressive increase from 2.99% in 2016.
The proportion of average and outlier performing facilities varied in the different years with no steady trend. Nonetheless, for the latter years the proportion of average performing facilities accounted for 24.81% in 2018, which was an increase from 7.06% in 2016. On the other hand, proportion of outlier performers accounted for 4.48% in 2018, which was a progressive decrease from 14.46% in 2016.
Table 4
Care and treatment (CRT) - health facility segmentation based on performance clusters
Year | 2011 | | | | 2012 | | | |
Cluster | Best n = 20 | Average n = 76 | Poor n = 254 | Outlier n = 4 | Best n = 634 | Average n = 662 | Poor n = 430 | Outlier n = 98 |
MOH 731-3 Care and Treatment Completeness | 42.50 | 21.61 | 12.49 | 93.75 | 90.00 | 57.90 | 24.69 | 84.61 |
MOH 731-3 Care and Treatment Timeliness | 2.09 | 17.79 | 2.70 | 22.93 | 76.54 | 46.74 | 15.29 | 22.81 |
Year | 2013 | | | | 2014 | | | |
Cluster | Best n = 1063 | Average n = 587 | Poor n = 217 | Outlier n = 219 | Best n = 1407 | Average n = 554 | Poor n = 204 | Outlier n = 236 |
MOH 731-3 Care and Treatment Completeness | 97.67 | 81.29 | 31.24 | 90.05 | 98.67 | 87.86 | 34.51 | 94.53 |
MOH 731-3 Care and Treatment Timeliness | 90.81 | 59.82 | 19.79 | 24.03 | 92.01 | 62.55 | 27.03 | 24.65 |
Year | 2015 | | | | 2016 | | | |
Cluster | Best n = 1647 | Average n = 607 | Poor n = 132 | Outlier n = 227 | Best n = 2171 | Average n = 203 | Poor n = 86 | Outlier n = 416 |
MOH 731-3 Care and Treatment Completeness | 99.00 | 93.63 | 35.73 | 93.96 | 99.09 | 76.65 | 27.22 | 97.21 |
MOH 731-3 Care and Treatment Timeliness | 94.71 | 66.06 | 23.13 | 25.27 | 91.13 | 59.43 | 16.15 | 38.87 |
Year | 2017 | | | | 2018 | | | |
Cluster | Best n = 1837 | Average n = 750 | Poor n = 264 | Outlier n = 241 | Best n = 1676 | Average n = 781 | Poor n = 550 | Outlier n = 141 |
MOH 731-3 Care and Treatment Completeness | 98.82 | 92.41 | 43.10 | 95.74 | 86.94 | 55.13 | 26.68 | 71.65 |
MOH 731-3 Care and Treatment Timeliness | 94.22 | 65.41 | 32.70 | 27.61 | 81.75 | 50.71 | 23.26 | 21.37 |
In Table 5 and Fig. 4, we present the segmentation of facilities based on performance clusters according to the VMMC programmatic area. Based on performance trends presented in Fig. 4 for VMMC, the proportion of best performing facilities accounted for 54.35% in 2016, which was a progressive increase from 8.70% in 2013. Nonetheless, in 2018 the proportion of best performing facilities accounted for 17.31%, which was a progressive decrease from 54.35% in 2016. On the other hand, the proportion of poor performing facilities accounted for 13.04% in 2016, which was a progressive decrease from 39.13%% in 2013. However, in 2017 and 2018 the proportion of poor performing facilities accounted for 21.88% and 21.15%, which was a progressive increase from 13.04% in 2016.
The proportion of average and outlier performing facilities varied in the different years with no steady trend. Nonetheless, for the latter years, the proportion of average performing facilities accounted for 25.00% in 2018, which was an increase from 15.63% in 2017. On the other hand, proportion of outlier performers accounted for 36.54% in 2018, which was a progressive increase from 10.87% in 2016.
Table 5
Voluntary medical male circumcision (VMMC)-health facility segmentation based on performance clusters
Year | 2012 | | | | 2013 | | | |
Cluster | Best n = 0 | Average n = 2 | Poor n = 2 | Outlier n = 2 | Best n = 2 | Average n = 7 | Poor n = 4 | Outlier n = 5 |
MOH 731-4 VMMC Completeness | 0.00 | 17.00 | 8.00 | 8.00 | 54.50 | 35.57 | 13.89 | 51.80 |
MOH 731-4 VMMC Timeliness | 0.00 | 17.00 | 8.00 | 0.00 | 50.00 | 19.00 | 7.33 | 23.40 |
Year | 2014 | | | | 2015 | | | |
Cluster | Best n = 7 | Average n = 14 | Poor n = 16 | Outlier n = 5 | Best n = 15 | Average n = 7 | Poor n = 7 | Outlier n = 15 |
MOH 731-4 VMMC Completeness | 85.86 | 51.14 | 20.38 | 81.80 | 95.07 | 50.00 | 15.57 | 86.67 |
MOH 731-4 VMMC Timeliness | 81.14 | 39.36 | 13.00 | 36.60 | 88.38 | 42.86 | 14.43 | 62.20 |
Year | 2016 | | | | 2017 | | | |
Cluster | Best n = 25 | Average n = 10 | Poor n = 7 | Outlier n = 4 | Best n = 28 | Average n = 10 | Poor n = 14 | Outlier n = 12 |
MOH 731-4 VMMC Completeness | 97.12 | 67.60 | 17.86 | 70.75 | 92.61 | 52.40 | 17.79 | 86.83 |
MOH 731-4 VMMC Timeliness | 90.00 | 62.60 | 13.14 | 16.75 | 86.88 | 37.40 | 10.57 | 58.31 |
Year | 2018 | | | | | | | |
Cluster | Best n = 9 | Average n = 13 | Poor n = 11 | Outlier n = 19 | | | | |
MOH 731-4 VMMC Completeness | 85.73 | 43.94 | 19.09 | 61.s58 | | | | |
MOH 731-4 VMMC Timeliness | 81.11 | 36.15 | 16.36 | 55.26 | | | | |
In Table 6 and Fig. 5, we present the segmentation of facilities based on performance clusters according to the PEP programmatic area. Based on performance trends presented in Fig. 5 for PEP, the proportion of best performing facilities accounted for 66.76% in 2015, which was a progressive increase from 2.99% in 2011. Nonetheless, in 2018 the proportion of best performing facilities accounted for 51.24%, which was a decrease from 66.01% in 2017. On the other hand, the proportion of poor performing facilities accounted for 3.91% in 2016, which was a progressive decrease from 17.76% in 2013. However, in 2018 the proportion of poor performing facilities accounted for 18.59%, which was a progressive increase from 3.91% in 2016.
The proportion of average and outlier performing facilities varied in the different years with no steady trend. Nonetheless, for the latter years the proportion of average performing facilities accounted for 28.76% in 2018, which was an increase from 17.09% in 2017. On the other hand, proportion of outlier performers accounted for 1.41% in 2018, which was a progressive decrease from 24.78% in 2016.
Table 6
Post-exposure prophylaxis (PEP)-health facility segmentation based on performance clusters
Year | 2011 | | | | 2012 | | | |
Cluster | Best n = 0 | Average n = 2 | Poor n = 63 | Outlier n = 2 | Best n = 173 | Average n = 256 | Poor n = 328 | Outlier n = 34 |
MOH 731-5 Post-Exposure Prophylaxis Completeness | 0.00 | 54.20 | 13.48 | 95.85 | 84.98 | 54.24 | 23.56 | 89.71 |
MOH 731-5 Post-Exposure Prophylaxis Timeliness | 0.00 | 4.15 | 6.18 | 8.35 | 73.74 | 44.72 | 15.65 | 34.07 |
Year | 2013 | | | | 2014 | | | |
Cluster | Best n = 583 | Average n = 281 | Poor n = 205 | Outlier n = 85 | Best n = 677 | Average n = 221 | Poor n = 124 | Outlier n = 281 |
MOH 731-5 Post-Exposure Prophylaxis Completeness | 94.44 | 61.18 | 29.01 | 87.45 | 97.04 | 56.66 | 23.39 | 83.53 |
MOH 731-5 Post-Exposure Prophylaxis Timeliness | 88.01 | 51.75 | 20.00 | 41.74 | 93.14 | 40.20 | 17.24 | 63.91 |
Year | 2015 | | | | 2016 | | | |
Cluster | Best n = 954 | Average n = 305 | Poor n = 103 | Outlier n = 67 | Best n = 953 | Average n = 161 | Poor n = 61 | Outlier n = 387 |
MOH 731-5 Post-Exposure Prophylaxis Completeness | 97.14 | 76.33 | 27.25 | 78.37 | 98.15 | 59.58 | 27.85 | 83.22 |
MOH 731-5 Post-Exposure Prophylaxis Timeliness | 93.05 | 62.86 | 22.34 | 29.24 | 95.37 | 46.37 | 22.83 | 70.99 |
Year | 2017 | | | | 2018 | | | |
Cluster | Best n = 1031 | Average n = 267 | Poor n = 137 | Outlier n = 127 | Best n = 725 | Average n = 407 | Poor n = 263 | Outlier n = 20 |
MOH 731-5 Post-Exposure Prophylaxis Completeness | 95.73 | 66.51 | 38.29 | 90.02 | 85.04 | 54.06 | 24.07 | 80.50 |
MOH 731-5 Post-Exposure Prophylaxis Timeliness | 91.35 | 59.21 | 28.23 | 54.50 | 82.38 | 49.99 | 20.32 | 36.46 |
In Table 7 and Fig. 6, we present the segmentation of facilities based on performance clusters according to the BS programmatic area. Based on performance trends presented in Fig. 6 for BS, the proportion of best performing facilities accounted for 26.67% in 2015 and 2016, which was a decrease from 33.33% in 2014. Nonetheless, in 2018 the proportion of best performing facilities accounted for 15.38%, which was a decrease from 32.00% in 2017. On the other hand, the proportion of poor performing facilities accounted for 20.00% in 2015 and 2016, which was a progressive decrease from 43.48% in 2011. However, in 2017 the proportion of poor performing facilities accounted for 24.00%, which was an increase from 2016. For the latter years, the proportion of average performing facilities accounted for 28.00% in 2017 and 38.46% in 2018. On the other hand, proportion of outlier performers accounted for 16.00% in 2017 and 23.08% 2018. Nonetheless, there have been a general progressive decrease in facilities submitting BS indicators from 2013 to 2018.
Table 7
Blood safety (BS) - health facility segmentation based on performance clusters
Year | 2012 | | | | 2013 | | | |
Cluster | Best n = 3 | Average n = 8 | Poor n = 10 | Outlier n = 2 | Best n = 8 | Average n = 8 | Poor n = 11 | Outlier n = 12 |
MOH 731-6 Blood Safety Completeness | 69.67 | 43.75 | 18.30 | 100.00 | 94.88 | 37.50 | 15.82 | 75.75 |
MOH 731-6 Blood Safety Timeliness | 67.00 | 35.25 | 14.23 | 54.00 | 91.50 | 30.13 | 8.18 | 57.00 |
Year | 2014 | | | | 2015 | | | |
Cluster | Best n = 11 | Average n = 10 | Poor n = 9 | Outlier n = 3 | Best n = 8 | Average n = 14 | Poor n = 6 | Outlier n = 2 |
MOH 731-6 Blood Safety Completeness | 95.55 | 67.60 | 47.33 | 97.33 | 87.38 | 62.43 | 22.17 | 58.00 |
MOH 731-6 Blood Safety Timeliness | 87.95 | 62.50 | 40.33 | 22.33 | 81.25 | 45.86 | 15.17 | 8.50 |
Year | 2016 | | | | 2017 | | | |
Cluster | Best n = 8 | Average n = 9 | Poor n = 6 | Outlier n = 7 | Best n = 8 | Average n = 7 | Poor n = 6 | Outlier n = 4 |
MOH 731-6 Blood Safety Completeness | 94.88 | 69.56 | 47.33 | 27.14 | 83.25 | 56.00 | 26.33 | 79.25 |
MOH 731-6 Blood Safety Timeliness | 92.79 | 62.00 | 40.33 | 17.86 | 78.13 | 54.86 | 22.33 | 41.50 |
Year | 2018 | | | | | | | |
Cluster | Best n = 2 | Average n = 5 | Poor n = 3 | Outlier n = 3 | | | | |
MOH 731-6 Blood Safety Completeness | 85.00 | 54.00 | 26.67 | 66.67 | | | | |
MOH 731-6 Blood Safety Timeliness | 75.00 | 34.00 | 26.67 | 53.33 | | | | |
Scatter chart visualization of HTC performance clusters
In this section, we present an interactive visual representation of performance clusters using scatter charts. As an illustrative example using performance reporting of the HTC programmatic area, Fig. 7 demonstrates the visualization of the average performance of facilities by county for the period 2011 to 2018. Each of the four performance groups are represented using a similar color approach in Fig. 1 to Fig. 6. Each point contains the following attributes: name of county, number of facilities represented in that county, and the average completeness and timeliness for the facilities, which are displayed upon hovering the mouse on a point. For example, a green point may represent the average completeness and timeliness for the number of facilities in Nairobi county, which were in the best performing cluster in a particular year. This scenario is replicated for other counties and performance clusters. It is worth noting that facilities represented in each point are of varying characteristics such as type (hospital, health center), and ownership (private, public), hence are clustered based on performance. As such, the points in the scatter chart visualization provide a clear illustration of the four performance cluster groups and their behavior over time. For instance, the initial year of reporting shows only few clusters. Nonetheless, as reporting increases with time, more clusters develop.
Moreover, the outlier performance cluster has shown some improvement in performance as demonstrated with the left movement in the chart over time. The best performing cluster (green) also demonstrates a similar observation with the most improvement in 2016. The illustration in Fig. 1 further shows the proportion of best performing facilities being higher in 2016. Further still, the average completeness and timeliness among the average performance cluster (orange), seemed to have improved in 2015 compared with previous and subsequent years, based on the upward shift in the chart.