According to the findings of this paper, a total of 844004 calls were received by the Shiraz EMS, which were categorized in 15 separate sections, of which 522266 calls led to the ambulance dispatch, and 6620 of these calls were emergency calls for suspected stroke. Detailed data on calls for suspected stroke by month during the 2013 and 2019are given in Table 1.
Table 1: Calls related to suspected stroke during the years 2013 to 2019 by year and month
Month
Year
|
April
|
May
|
June
|
July
|
August
|
September
|
October
|
November
|
December
|
January
|
February
|
March
|
2013
|
48
|
32
|
49
|
47
|
51
|
51
|
41
|
58
|
59
|
55
|
53
|
42
|
2014
|
44
|
49
|
54
|
53
|
37
|
56
|
33
|
56
|
57
|
74
|
48
|
50
|
2015
|
53
|
43
|
31
|
29
|
39
|
35
|
55
|
53
|
54
|
40
|
53
|
55
|
2016
|
67
|
67
|
52
|
54
|
37
|
39
|
47
|
41
|
36
|
41
|
86
|
65
|
2017
|
70
|
78
|
71
|
88
|
82
|
117
|
96
|
114
|
107
|
145
|
137
|
130
|
2018
|
100
|
112
|
112
|
115
|
153
|
114
|
115
|
116
|
126
|
129
|
164
|
131
|
2019
|
114
|
137
|
127
|
107
|
106
|
131
|
106
|
121
|
139
|
127
|
172
|
115
|
The results of this studysuggest that the number of suspected cases of stroke between 2013and2016revealed a steady trend in a certain range, while a significant elevation was observed in this trendfrom 2016 to 2017, and afterwards the number of reported cases of stroke reached a relatively stable trend. These results are also shown in Figure 1.
To review and analyze the data with time series, the data oncalls for suspected stroke received by EMSin Shiraz city were entered into ITSM. Figure 1 shows the Preliminary image of the data,following entering the ITSM software.
For static data as well as eliminating the seasonal trend of data and estimating the trend of these events, the BOX-COX transformationwas first set to zero and DIFFERENCE 12 and 1 were usedfor the next 5 years. Figure 2 shows the data after the mentionedmeasures.
Then, in order to determine the order of q and p in AR, MA and ARMA models, autocorrelation function (ACF) and partial autocorrelation function (PACF) plots were used. Therefore, the appropriate values of p and q were equal to 14 and 11, respectively. Figure 3 shows the ACF/PACF plot.
In the next step, different models were fitted to the data and among the evaluated models, MA model (3) based on innovations method and search for the smallest AICC value by ITSM had the lowest value of Akai index and was selected as the best model. Based on this model, the AICC coefficient was calculated as -24.428596.
Finally, two tests were used to evaluate the reliability of the data prediction model. The P-value of this method was equal to 1 and was statistically significant at the level of 0.05. Therefore, the data were random, indicating the good reliability of the model. Using ACF and PACF in the data prediction model. Given that in both cases, the number of lag times outside the zero range is less than 0% of the total number of lag times, it can be concluded that the time series model is best fittedand the predictions are reliable.
Ljung - Box statistic = 41.209 Chi-Square ( 20 ), p-value = .00350
McLeod - Li statistic = 21.469 Chi-Square ( 23 ), p-value = .55247
Turning points = 46.000~AN(46.000,sd = 3.5071), p-value = 1.00000
Diff sign points = 34.000~AN(35.000,sd = 2.4495), p-value = .68309
Rank test statistic = .11870E+04~AN(.12425E+04,sd = .10073E+03), p-value = .58166
Jarque-Bera test statistic (for normality) = 1.1536 Chi-Square (2), p-value = .56168
Order of Min AICC YW Model for Residuals = 0
The final formed model was as follows:
X(t) = Z(t) - .5790 Z(t-1) + .2109 Z(t-2) - .2915 Z(t-3)
The results of prediction of trend of suspected stroke calls over the next five years on a monthly basis according to Figure 4 and Table 2 with a 95% confidence interval are as follows:
As shown in figure 4, the overall long-term time trend of stroke incidence after a significant increase between 2016 and 2017, has reached a relative stability and continued to be stable for the next upcoming years. These results are also presented in more detail in Table 2.
Table 2: Forecasting of the number of calls for suspected stroke received by the EMS of Shiraz city during 2020-2024
Year
|
Month
|
Prediction
|
Prediction bounds
|
2020
|
April
|
109
|
63
|
189
|
May
|
127
|
70
|
231
|
June
|
123
|
62
|
245
|
July
|
103
|
50
|
211
|
August
|
102
|
49
|
214
|
September
|
127
|
59
|
271
|
October
|
102
|
47
|
224
|
November
|
117
|
52
|
261
|
December
|
134
|
58
|
307
|
January
|
122
|
52
|
286
|
February
|
166
|
69
|
395
|
March
|
111
|
45
|
269
|
2021
|
April
|
105
|
33
|
334
|
May
|
123
|
36
|
419
|
June
|
119
|
31
|
452
|
July
|
100
|
25
|
400
|
August
|
99
|
23
|
416
|
September
|
122
|
27
|
528
|
October
|
98
|
21
|
455
|
November
|
112
|
23
|
543
|
December
|
129
|
25
|
651
|
January
|
118
|
22
|
620
|
February
|
159
|
29
|
874
|
March
|
106
|
18
|
607
|
2022
|
April
|
101
|
14
|
726
|
May
|
118
|
15
|
927
|
June
|
114
|
12
|
1009
|
July
|
95
|
10
|
911
|
August
|
94
|
9
|
964
|
September
|
116
|
10
|
127
|
October
|
94
|
8
|
1095
|
November
|
107
|
8
|
1329
|
December
|
123
|
9
|
1620
|
January
|
112
|
8
|
1569
|
February
|
152
|
10
|
2250
|
March
|
101
|
6
|
1590
|
2023
|
April
|
96
|
4
|
1873
|
May
|
112
|
5
|
2421
|
June
|
108
|
4
|
2656
|
July
|
91
|
3
|
2432
|
August
|
90
|
3
|
2613
|
September
|
110
|
3
|
3495
|
October
|
89
|
2
|
3055
|
November
|
102
|
2
|
3760
|
December
|
116
|
2
|
4650
|
January
|
106
|
2
|
4567
|
February
|
143
|
3
|
6639
|
March
|
96
|
1
|
4757
|
2024
|
April
|
91
|
1
|
5569
|
May
|
106
|
1
|
7273
|
June
|
102
|
1
|
8040
|
July
|
85
|
1
|
7450
|
August
|
84
|
1
|
8102
|
September
|
104
|
1
|
10969
|
October
|
84
|
1
|
9704
|
November
|
95
|
1
|
12091
|
December
|
109
|
1
|
15135
|
January
|
100
|
1
|
15045
|
February
|
135
|
1
|
22134
|
March
|
90
|
1
|
16054
|
The results presented in table 2indicate that the prediction of stroke incidence is almost constant with a slight decrease, so that the total number of stroke cases in 2024 compared to 2019 will decrease by 21 percent. It was also found that in the short-term trend (e.g. monthly or seasonal) the highest incidence of stroke occurred in February, the coldest month of the year in Shiraz city, whereas the lowest incidence of stroke occurred in July and August, the warm seasons of the year.