| Literature DB >> 28476117 |
Melanie Villani1,2, Arul Earnest1,3, Natalie Nanayakkara1,4, Karen Smith2,3,5, Barbora de Courten1,4, Sophia Zoungas6,7,8,9.
Abstract
BACKGROUND: Acute diabetic emergencies are often managed by prehospital Emergency Medical Services (EMS). The projected growth in prevalence of diabetes is likely to result in rising demand for prehospital EMS that are already under pressure. The aims of this study were to model the temporal trends and provide forecasts of prehospital attendances for diabetic emergencies.Entities:
Keywords: Access/Demand/Utilization of services; Diabetes; Emergency medical services; Time series analysis
Mesh:
Year: 2017 PMID: 28476117 PMCID: PMC5420132 DOI: 10.1186/s12913-017-2280-6
Source DB: PubMed Journal: BMC Health Serv Res ISSN: 1472-6963 Impact factor: 2.655
Fig. 2Observed monthly caseload of EMS attended cases for diabetic emergencies. Reference lines demonstrate seasonality, with peaks apparent around December/January, and troughs apparent around April/May
Descriptive characteristics of prehospital diabetic emergencies
| Year | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 |
|
|---|---|---|---|---|---|---|---|---|
| Annual cases (n) | 5841 | 5873 | 6102 | 5911 | 6179 | 4938* | 6610 | |
| Median [IQR] Monthly cases | 484.5 [447.5, 540.5] | 487.5 [463, 510] | 506.5 [485, 524.5] | 492 [479. 508] | 503 [496.5, 530] | 521.5 [504, 539] | 549.5 [513.5, 581.5] | |
| Age | ||||||||
| Median [IQR] | 60 [40, 76] | 60 [41, 76] | 60 [40, 76] | 59 [40, 76] | 59 [41, 75] | 59 [40, 75] | 59 [39, 75] |
|
| Gender | ||||||||
| Male (n) (%) | 3222 (55.2%) | 3194 (54.45) | 3355 (55.0%) | 3378 (57.2%) | 3454 (55.9%) | 2677 (54.2%) | 3675 (55.6%) |
|
| Female (n) (%) | 2615 (44.8%) | 2675 (45.6%) | 2743 (45.0%) | 2527 (42.8%) | 2721 (44.1%) | 2258 (45.8%) | 2929 (44.4%) | |
| Diabetes type | ||||||||
| Type 1(n) (%) | 3125 (53.5%) | 2962 (50.4%) | 3026 (49.6%) | 2737 (46.3%) | 2872 (46.5%) | 2264 (45.9%) | 2906 (44.0%) |
|
| Type 2(n) (%) | 2040 (34.9%) | 2171 (37.0%) | 2291 (37.6%) | 2334 (39.5%) | 2528 (40.9%) | 1984 (40.2%) | 2779 (42.0%) | |
| Unspec.(n) (%) | 676 (11.6%) | 740 (12.6%) | 785 (12.9%) | 840 (14.2%) | 779 (12.6%) | 690 (14.0%) | 925 (14.0%) | |
| Emergency type | ||||||||
| Hyperglycemia (n) (%) | 1452 (24.9%) | 1488 (25.3%) | 1616 (26.5%) | 1722 (29.1%) | 1966 (31.8%) | 1701 (34.4%) | 2455 (37.1%) |
|
| Hypoglycemia(n) (%) | 4389 (75.1%) | 4385 (74.7%) | 4486 (73.5%) | 4189 (70.9%) | 4213 (68.2%) | 3237 (65.6%) | 4155 (62.9%) | |
•Chi2 †KW test
*annual rate missing 4 months of data: September, October, November, December
Fig. 1Median monthly EMS attendance for diabetic emergencies
Fig. 3Autocorrelation plot and Partial autocorrelation plots for overall caseload of diabetic emergencies
Forecast errors for the various SARIMA models
| Model | MAE | MSE | MAPE |
|---|---|---|---|
| Overall | |||
|
|
|
|
|
| (0,1,1,12) | 24.88 | 870.29 | 4.63% |
| (1,1,0,12) | 25.94 | 942.60 | 4.79% |
| (1,1,1,12) | 24.54 | 862.56 | 4.56% |
| (0,1,2,12) | 24.33 | 849.05 | 4.52% |
| (2,1,0,12) | 23.79 | 794.36 | 4.41% |
| (2,1,1,12) | 26.31 | 866.99 | 4.81% |
| (1,1,2,12) | 26.09 | 909.21 | 4.81% |
| Hypoglycaemia | |||
| (0,1,0,12) | 38.12 | 2026.34 | 11.58% |
|
|
|
|
|
| (1,1,0,12) | 26.85 | 1055.83 | 8.04% |
| (1,1,1,12) | 26.63 | 951.10 | 7.75% |
| (0,1,2,12) | 27.34 | 994.96 | 7.90% |
| (2,1,0,12) | 25.17 | 906.32 | 7.35% |
| (2,1,1,12) | 27.84 | 1037.25 | 7.90% |
| (1,1,2,12) | 27.73 | 1063.02 | 8.06% |
| Hyperglycaemia | |||
| (0,1,0,12) | 31.26 | 1412.35 | 14.74% |
|
|
|
|
|
| (1,1,0,12) | 15.49 | 321.36 | 7.43% |
| (1,1,1,12) | 13.22 | 269.20 | 6.40% |
| (0,1,2,12) | 13.38 | 281.07 | 6.49% |
| (2,1,0,12) | 15.35 | 337.68 | 7.41% |
| (2,1,1,12) | 15.24 | 348.73 | 7.41% |
| (1,1,2,12) | 13.78 | 300.21 | 6.67% |
| Female | |||
| (0,1,0,12) | 26.21 | 918.92 | 10.81% |
| (0,1,1,12) | 20.68 | 536.97 | 8.64% |
| (1,1,0,12) | 22.40 | 632.35 | 9.31% |
| (1,1,1,12) | 21.45 | 582.90 | 9.04% |
| (0,1,2,12) | 20.76 | 547.93 | 8.75% |
|
|
|
|
|
| (2,1,1,12) | 17.93 | 414.51 | 7.47% |
| (1,1,2,12) | 19.72 | 482.18 | 8.25% |
| Male | |||
| (0,1,0,12) | 24.97 | 872.20 | 7.97% |
| (0,1,1,12) | 20.12 | 590.74 | 6.38% |
| (1,1,0,12) | 22.34 | 746.52 | 7.03% |
|
|
|
|
|
| (0,1,2,12) | 18.97 | 634.50 | 6.03% |
| (2,1,0,12) | 18.78 | 437.23 | 6.11% |
| (2,1,1,12) | 20.70 | 605.84 | 6.56% |
| (1,1,2,12) | 20.54 | 706.99 | 6.51% |
MAE (Mean Absolute Error), MSE (Mean Square Error), MAPE (Mean Absolute Percentage Error)
Bold text indicates chosen model
Fig. 4a: Time series plot of EMS attendance for diabetic emergencies (combined, hypoglycemia and hyperglycemia): observed, one-month forecast and dynamic forecast. b: Time series plot of EMS attendance for diabetic emergencies females and males): observed, one-month forecast and dynamic forecast
1 month, 3 month and 12 month forecasts for overall caseload SARIMA (0,1,0,12)
| Model | MAE | MSE | MAPE |
|---|---|---|---|
| SARIMA (0,1,0,12) | |||
| 12 month projection | 44.75 | 2195.23 | 8.57% |
| 3 month projection | 46.19 | 3173.26 | 9.00% |
| 1 month projection | 39.25 | 2031.35 | 7.14% |
MAE (Mean Absolute Error), MSE (Mean Square Error), MAPE (Mean Absolute Percentage Error)
Generated using dynamic forecasting
Comparisons across models
| Model | MAE | MSE | MAPE | |
|---|---|---|---|---|
| a) | SARIMA | 37.75 | 1883.29 | 7.32% |
| b) | SARIMA + time trend | 49.00 | 2792.45 | 9.11% |
| c) | ARIMA + seasonality | 38.63 | 1581.40 | 7.23% |
| d) | Exponential smoothing | 47.25 | 2384.75 | 8.78% |
| e) | Linear time trend + seasonality | 43.22 | 2964.31 | 7.57% |
MAE (Mean Absolute Error), MSE (Mean Square Error), MAPE (Mean Absolute Percentage Error)
Please note that measures of prediction accuracy across-model comparisons were generated using one-step forecasting