(1) A narrative of GCM interventions in the March-April 2020 COVID-19 epidemic and of LTCF residents' daily hospital referrals and daily deaths in hospitals and LTCFs
As early as January 30 the CoM’s Directorate General of Public Health (DGSPCM-Dirección General de Salud Pública de la Comunidad de Madrid) issued a procedure for hospitalization of suspected cases of COVID-19. This proposal was rejected by the GCM (Additional File 1). The first hospitalization of a suspected case in the CoM occurred on February 25, 2020 [29]. Centralized management of hospital beds was initiated on March 7, 2020 (Additional File 1). Also, the three-phase Hospital Resource Elasticity Plan was promoted (see[18] pages 45–50). Necessary hospital resources were anticipated to increase alongside the increases in the number of COVID-19 inpatients and outpatients.
Restrictions on hospital referrals were issued in the first and third weeks of March 2020 (Fig. 1; Additional File 1). From March 8, the date of the lockdown of LTCFs, the GCM gradually introduced more severe restrictions on access to healthcare located outside of LTCFs (Additional File 1). In addition, there was evidence that LTCF managers encountered increasing barriers to access of their residents to hospitals [29–31]As daily in-hospital deaths of LTCF residents decreased while daily LTCF deaths increased, the ratios of the former to the latter started to decrease abruptly after March 8, 2020 (Fig. 3a), five days after the start of the GCM intervention period.
Insert Fig. 3 here
Figure 3. Times series for all-causes daily deaths, hospital referrals,
and GCM interventions
a. Daily deaths in the CoM for the population aged 65 + and those in LTCFs
b. LTCF residents' daily referrals and in-hospital and in-LTCF daily deaths
c. Hospital-to-LTCF ratios of daily deaths of LTCF residents
Compared to the pre-COVID-19 period, hospital referrals from LTCFs decreased abruptly from March 3, 2020 to March 17, 2020 (Fig. 3b; Table 2b). According to the GCM Ministry of Health action plan (March 12, 2020), LTCF residents were to be treated on-premises, and the medicalization of LTCFs was announced (Additional File 1). While the medicalization of LTCFs was never defined by the GCM Ministry of Health, in the 2020 GCM Ministry of Health Annual Report, guidelines for the medicalization of hotels included the ability to provide the means to control the spread of COVID-19 among residents and staff, to reduce necessary hospitalizations, and to increase the ability to meet necessary care. Organizational and clinical links with hospitals were also planned[18] (pages 79–80). Medicalization was defined in the May 6, 2020 order of the High Court of Justice of Madrid as providing LTCFs with medical and nursing staff, and the appropriate ways and means necessary to care for LTCF residents during an epidemic situation[30] However, the GCM Ministry of Health never implemented the medicalization of LTCFs [32]
Between March 18, 2020 and March 25 average daily in-LTCF deaths increased, reaching a ratio of 5.41 (Table 2a, b) compared to the January 5, 2020 - March 3, 2020 period. Hospital referrals reached their lowest levels (Fig. 3b; Table 2b). Meanwhile, the GCM’s “shock plan” (plan de choque) [33] was made public on March 26, 2020 (Additional File 1). The highest levels of daily deaths in the CoM population aged 65 + and in LTCF residents were observed between March 26, 2020 and April 7, 2020 (Fig. 3c; Table 2a). The daily in-LTCF death average peaked at 15 times the January 5, 2020 to March 3, 2020 period daily death average (Table 2b), while the daily death average of LTCF residents after hospital referrals was only 1.57 times higher (Table 2b). The gradual retreat of GCM administrative directives began on April 7, 2020 (Fig. 3b,c) when the ratios of daily deaths in the CoM population aged 65 + and in LTCF residents decreased (Table 2b). After the implementation of New Normalization Phase 1 on May 23, 2020 (Additional File 1), these ratios deepened below unity, except for deaths in hospitals (Table 2b). Finally, the daily hospital referral average in the January 5, 2020 to March 3, 2020 period was higher than that in the March 3, 2020 to April 6, 2020 period and even higher than in the May 23, 2020 to June 27, 2020 period (Fig. 3b; Table 2a).
Insert Table 2 here
Table 2. Descriptive statistics on hospital referrals and all-cause deaths in the CoM: population aged 65 + and LTCF residents
a. All-cause deaths and hospital referrals
b. Ratios of all-cause deaths in persons in LTCFs and persons aged 65 + in the CoM
(2) Univariate time series analyses of changes, vis-à-vis the enactment of the triage protocols, LTCF residents’ daily hospital referrals, and daily in-hospital and in-LTCF deaths, were examined.
Changes were modeled as breaks in the respective time series. Full results on breaks are available in Additional File 2, Supplementary Table 2.1, and Supplementary Fig. 2.1.
No break in hospital referrals was associated with the March 18 to 25, 2020 triage protocols. The first break for hospital referrals occurred on February 7, 2020 (Additional File 2, Supplementary Fig. 2.1a), a week after the enactment of norms on hospitalization of COVID-19 cases by the DGSPCM (Additional File 1). Other significant breaks occurred after the first hospitalization for COVID-19 on February 25, 2020.
Three event breaks preceded the LTCF lockdown on March 8, 2020: 1) Break for hospital referrals of LTCF residents (Additional File 2, Supplementary Fig. 2.1a), 2) Break for daily deaths in persons aged 65 + living in the CoM (Additional File 2, Supplementary Fig. 2.1b-i), 3). Break for the total number of in-LTCF deaths (Additional File 2, Supplementary Fig. 2.1c-i). No break was associated with daily hospital deaths (Additional File 2, Supplementary Fig. 2.1d-i).
Figure 3c and Additional File 2, Supplementary Fig. 2.1e (hospital-to-LTCF ratios of daily deaths) summarize the results of analyses on the breaks. The regime of low ratios lasted from March 8, 2020 to April 13, 2020. On April 7, 2020 the GCM Minister of Health announced in a radio interview the gradual relaxing of restrictions on access to hospital care for LTCF residents (Additional File 1). According to the break test for the hospital-to-LTCF ratios of daily deaths, the March 8, 2020 to April 13, 2020 regime coincided with the regime of interventions of the CoM (Figs. 3c and Additional File 2, Supplementary Fig. 2.1e) with a lag of five days. The March 18–25, 2020 triage protocols were encompassed within that period.
(3) Multivariate time-series analyses of the association of LTCF residents' daily hospital referrals and daily in-hospital and in-LTCF deaths with the March 18–25, 2020 triage protocols, using a multivariable data-generating model.
Full analyses of the multivariate model (MGARCH(1,1)) are available in Additional File 3, Supplementary Table 3.1 and Supplementary Figs. 3.1, 3.2, and 3.3. Therein, the focus is on the March-April 2020 period of the COVID-19 epidemic and is limited to the graphical representation of the estimated associations between responses and impulses in the three-equation model (Fig. 2). Figure 2
Contribution of breaks and regimes to responses
In the multivariate model, no break or regime was associated with the enactment dates of the triage protocols. Within the March-April 2020 period of the COVID-19 epidemic, only the March 8, 2020 to April 13, 2020 regime from the hospital-to-LTCF ratios of daily deaths was associated with the responses (Additional File 3, Supplementary Table 3.1).
The contributions of the March 8, 2020 to April 13, 2020 regime are given by the regression coefficients in the MGARCH(1,1) model B (Additional File 3, Supplementary Table 3.1). The value of the coefficient associated with the regime is set at -15.351 for daily hospital referrals (Table Supplementary 3.1, Model B Eq. 1). Thus, the regime contributed to a loss of 15 daily hospital referrals for a total of 568 hospital referrals from March 8, 2020 to April 13 a reduction of 17% over the regime.
The estimated regression coefficients for daily in-hospital and in-LTCF deaths contribution of the March 8-April 13, 2020 regime to in-hospital and in-LTCF deaths were − 2.474 and 3.846, respectively (Additional File 3, Supplementary Table 3.1, Model B Eq. 2,3). The regime contributed a reduction of 2.5 in-hospital deaths daily and an increase of 3.9 in-LTCF deaths daily, a total reduction of 92 (6.7%) in-hospital deaths and a total increase of 142 in-LTCF deaths (2.4%). Finally, a shift contributed to a reduction of 11 in-LTCF deaths on March 8, 2020 (Additional File 3, Supplementary Table 3.1, Model B Eq. 2,3).
Contribution of impulse time series to response time series
Two statistically significant groups of regimes characterized impulses and responses during the COVID-19 epidemic period, except for daily in-hospital deaths for which no break was identified (Additional File 2, Supplementary Fig. 2.1d-i). Each of these two regimes was delimited by one break date located at the March 27, 2020 and April 2, 2020 peaks in the time series (Supplementary Figs. 2.1a-i, b-i, c-i). The first group of regimes was associated mostly with the ascending phase of daily deaths in the population aged 65+, and in LTCFs and hospitals. These regimes coincided with the GCM intervention period within a week at the beginning and end of the regimes. In the second group, regimes were linked to the descending phase of the daily death time series. Regimes were considered in the graphical analyses of the associations of responses with impulses obtained from the MGARCH(1,1) (Additional File 3, Supplementary Table 3.1, Model B)
The first foundational impulse in the data-generating model (Fig. 2) is the time series for the daily deaths in the population aged 65 + in the CoM. The contributions of this impulse to the daily in-hospital deaths of LTCF residents (blue) and LTCFs (red) are shown in Fig. 4a through solid lines for the first regime (March 1–26, 2020) and dashed lines for the second regime (March 27, 2020 -April 26, 2020). They followed bell-shaped curves over the March-April 2020 COVID-19 period and beyond in the post-COVID period. At the peak of the death curves, the estimated number of deaths in the CoM population aged 65 + contributed to 34.3% of all-cause in-LTCF deaths (calculation shown on request) and 69.0% of in-hospital deaths of LTCF residents.
In Fig. 4b, LTCF residents' deaths in-hospital (green) and in-LTCF (red) are responses to hospital referrals (blue), while hospital referrals are responses to deaths in the population aged 65+. In the first regime, the contributions to hospital referrals of daily deaths in the population aged 65 + were null or negative, while they followed an approximate bell-shaped curve in the second regime. Hospital referrals decreased in the ascending phase of the CoM death curve for the population aged 65 + and increased during the peak period of the curve. Thereafter, they decreased at a lower rate than daily deaths in the population (Fig. 4b).
The contributions of hospital referrals to in-hospital daily deaths (green) and in-LTCF deaths (red) were negative in the first regime, whereas in the second regime, their contributions were positive.
Insert Fig. 4 here
Figure 4. Contribution of impulses to responses in the MGARCH(1,1) model
a. Contribution of the March 8, 2020 to April 13, 2020 regime
- b. Contribution of impulses to hospital referrals, in-hospital and in-LTCF daily deaths of LTCF residents
The GCM interventions coincided with the ascending phase, while their gradual retreat was implemented at the beginning of the descending phase – on April 7, 2020. To summarize the results, in the ascending phase of the COVID-19 curve, the GCM interventions blocked the association of responses with impulses expected in the data generation model in Fig. 2. The associations became positive only in the descending phase (Fig. 4b).
Volatilities in responses and adjustment of predicted to observed responses
Volatilities associated with the COVID-19 epidemic were obtained only for the predicted daily in-LTCF deaths (Additional File 3, Supplementary Fig. 3.4c-ii). Predicted hospital referrals did not show statistically significant volatilities, while the pattern of volatilities associated with daily in-hospital deaths of LTCF residents occurred over the whole January 5, 2020 to June 27, 2020 period. Thus, evidence for turbulence in the March-April 2020 COVID-19 epidemic period was available only for daily in-LTCF deaths.