From 3c4d5a80bd219d4598962bd99b14ba89333b3413 Mon Sep 17 00:00:00 2001 From: Gerardo Marx Date: Tue, 31 Mar 2020 00:53:28 -0600 Subject: [PATCH] 30 marzo --- .gitignore | 1 + Readme.md | 48 +++++++++++++++++------------------ datos/datos-covid-mexico.csv | 12 +++++---- figuras/30-1.png | Bin 0 -> 36340 bytes figuras/30-2.png | Bin 0 -> 33670 bytes figuras/30-3.png | Bin 0 -> 33990 bytes figuras/30-4.png | Bin 0 -> 29952 bytes figuras/30-5.png | Bin 0 -> 44554 bytes figuras/30-6.png | Bin 0 -> 33775 bytes figuras/30-7.png | Bin 0 -> 27876 bytes 10 files changed, 32 insertions(+), 29 deletions(-) create mode 100644 figuras/30-1.png create mode 100644 figuras/30-2.png create mode 100644 figuras/30-3.png create mode 100644 figuras/30-4.png create mode 100644 figuras/30-5.png create mode 100644 figuras/30-6.png create mode 100644 figuras/30-7.png diff --git a/.gitignore b/.gitignore index e34b598..82248b0 100644 --- a/.gitignore +++ b/.gitignore @@ -1 +1,2 @@ plots/ +/.DS_Store diff --git a/Readme.md b/Readme.md index 4cb715a..a8d5a40 100644 --- a/Readme.md +++ b/Readme.md @@ -1,53 +1,53 @@ # Reporte COVID-19 en México y Michoacán ### Dr. Rafael Lara-Hernández, Dr. Héctor Javier Vergara-Hernández, M. C. Gerardo Marx Chávez-Campos ![](figuras/sedeam-logo.jpg) -### 29 de marzo 2020 +### 30 de marzo del 2020 --- ## Introducción -El presente reporte muestra un análisis del comportamiento de los casos reportados como **confirmados** por la Secretaría de Salud (SS) de México. Los datos son usados para el desarrollo de tres modelos: exponencial, polinomial y logarítmico. Cada caso es analizado a detalle en las siguientes secciones. Además, se estudia el caso particular del estado de Michoacán. Este repositorio será actualizado diariamente y su historial queda guardado para un posterior análisis. +El presente reporte muestra la actualización del análisis del comportamiento de los casos reportados como **confirmados** por la Secretaría de Salud (SS) de México a los 20 días de seguimiento. Los datos son usados para el cálculo de diferentes parámetros como: tasa de crecimiento diaria, acumulación de casos, promedio de crecimiento e incremento. Con la información calculada, se han desarrollo tres modelos para estimar el comportamiento del crecimiento de casos en México con respecto a la dinámica de la pandemia a la fecha. Los modelos estudiados son: exponencial, polinomial y logarítmico. Cada caso es analizado en las siguientes secciones. Los resultados muestran que México representa el 0.15% del total de casos confirmados y el 0.17% de casos nuevos a nivel mundial para el día de hoy. Además, se estudia el caso particular del estado de Michoacán. Este repositorio será actualizado diariamente y su historial queda guardado para un posterior análisis. -## Modelo exponencial +### 1. Modelo exponencial -El modelo exponencial continua ajustándose con un nivel de confianza del 95% y un Coeficiente de Determinación del 96%; corroborado bajo la prueba de bondad de ajuste. Sin embargo, el modelo sobrestiman el comportamiento real a una tasa de crecimiento diaria de contagio de 0.2414. En la siguiente figura se pueden observar los registros diarios representados por círculos, mientras que el comportamiento del modelo se pude observar representado con una líneas gris. +El modelo exponencial ajusta para una tasa diaria de crecimiento de contagio de 0.2384 para los casos confirmados, véase la Figura 1. En la figura se pueden observar los registros diarios representados por círculos, mientras que el comportamiento del modelo se pude observar con una líneas gris. Note que el modelo sobrestima el comportamiento real. -![](figuras/29-1.png) +![](figuras/30-1.png) -## Modelo polinómico +### Modelo polinómico -El modelo polinómico elegido para el ajuste es de segundo grado. Este modelo se ajusta al comportamiento actual con un grado de **error menor al 1%**. La ecuación base del modelo, *f(x)=ax^2 +bx +c*, tiene un coeficiente de concavidad *a* de 3.6702, lo que representa un incremento significativo por cada día que pasa en la razón de cambio de la curva. No obstante, el modelo subestima el comportamiento real, ya que presenta un error significativo al momento de estimar el nuevo número de casos en los días siguientes. En la siguiente figura también se puede observar los casos reales con marcas tipo circulo, mientras que el modelo se muestra con la línea punteada gris. +El modelo polinómico elegido para el ajuste es de segundo grado. Este modelo se ajusta al comportamiento actual con un grado de **error menor al 1%**. La ecuación base del modelo, *f(x)=ax^2 +bx +c*, tiene un coeficiente de concavidad *a* de 3.78, lo que representa un incremento significativo por cada día que pasa en la razón de cambio de la curva. No obstante, el modelo subestima el comportamiento real, ya que presenta un error significativo al momento de estimar el nuevo número de casos en los días siguientes. En la siguiente figura también se puede observar los casos reales con marcas tipo circulo, mientras que el modelo se muestra con la línea punteada gris. -![](figuras/29-2.png) +![](figuras/30-2.png) -## Modelo logarítmico +### Modelo logarítmico Por su parte el modelo logarítmico, del tipo *f(x)=a log(x)+b*, destaca una tendencia del crecimiento en el número de casos confirmados, desde el inicio de registro de casos. Véase la siguiente figura. -![](figuras/29-3.png) +![](figuras/30-3.png) -## Factor de crecimiento de los casos reportados +### Factor de crecimiento de los casos reportados -El factor de crecimiento se estimo día a día respecto a los casos confirmados, registrando un valor de 1.17 para el día de hoy (día 18). Esto refleja un comportamiento menor al valor de los últimos 3 días, lo que se corrobora en la siguiente gráfica. +El factor de crecimiento se estimo día a día respecto a los casos confirmados. La jornada registrada representó, en términos comparativos a los últimos 5 días, una dinámica favorable. Ya que registra un factor de contagio de 1.1, lo que significa un ritmo bajo; registrando solo 101 nuevos casos confirmados. Sin embargo, la tasa de letalidad registró el nivel más alto de las últimas fechas con un valor de 2.56%; con 8 defunciones. -![](figuras/29-4.png) +![](figuras/30-4.png) -## Estimación y análisis a partir del modelo lineal +### Estimación y análisis a partir del modelo lineal -Adicionalmente se analiza el incremento diario de casos confirmados mediante un modelo lineal, véase siguiente figura. Este modelo permite observar el crecimiento de casos confirmados de una manera oscilante sobre la línea de tendencia, y que a partir del día 26 de marzo (día 16 en eje *x*), se incrementa en más de 100 casos por día, a una tasa aproximada de 7.5 casos confirmados por día. **Bajo estos análisis la estimación de casos confirmados para el día 30 de marzo sería de un aproximado de *1,294***. +Adicionalmente se analiza el incremento diario de casos confirmados mediante un modelo lineal, véase la figura 5. Este modelo permite observar el crecimiento de casos confirmados de una manera oscilante sobre la línea de tendencia, y que a partir del día 26 de marzo (día 16 en eje *x*), se incrementa en más de 100 casos por día, a una tasa aproximada de 7.1 casos confirmados por día. -![](figuras/29-5.png) - -Con esto en consideración, y el número *R_0* o Número Reproductivo Básico del Virus, **la estimación total de contagios a la fecha, sería de *2,483* contagios posibles en todo país**, lo que se aproxima bastante con el número de casos sospechosos registrados hasta el momento de *2,564*. - -El número de defunciones registrado fue de 20 casos, representando una tasa de letalidad al momento de 2.01% y una tasa de recuperación hasta el día 28 de marzo del 0.47% (el dato del día 29 al momento no ha sido reportado). +![](figuras/30-5.png) +Con esto en consideración, y el número *R_0* o Número Reproductivo Básico del Virus, **la estimación total de contagios a la fecha, sería de *2,483* contagios posibles en todo país**, lo que se aproxima bastante con el número de casos sospechosos registrados hasta el momento de *2,735*. +--- ## Estimaciones para el estado de Michoacán -Para el caso de Michoacán, los 9 días de casos confirmados reportados, continúan ajustándose mejor a un modelo lineal. El modelo tiene un *R^2=0.97*, el comportamiento del modelo se puede observar en la siguiente figura. Este modelo lineal estima que cada día se presentan 2.12 casos confirmados aproximadamente, lo que permitió estimar de forma adecuada el numero de casos para el día 29 que fue de 22 casos confirmados. -![](figuras/29-6.png) +Para el caso de Michoacán los 22 casos confirmados reportados representan el 2% del total nacional, ajustándose a un modelo lineal con un Coeficiente de Determinación del 97%, no presentando al momento un comportamiento de tipo exponencial. + +Para el caso de Michoacán, los casos confirmados reportados, continúan ajustándose mejor a un modelo lineal. El comportamiento del modelo se puede observar en la figura 6. Este modelo lineal estima que cada día se presentan 2.02 casos confirmados aproximadamente, lo que permitió estimar de forma adecuada el numero de casos para el día 29 que fue de 22 casos confirmados. Estos 22 casos representan el 2% del total nacional. +![](figuras/30-6.png) -El factor de crecimiento presentado fue de 1.15, valor por debajo del factor promedio estatal de 1.27 y del nacional de 1.30 al día de hoy, pero superior al día anterior. Por lo que de continuar a estos ritmos la estimación de contagio para el día 30 de marzo sería de 25 a 28 casos confirmados en nuestro estado. +El factor de crecimiento presentado fue de 1, valor por debajo del factor promedio estatal de 1.24 y del nacional de 1.29 al día de hoy. Por lo que de continuar a estos ritmos la estimación de contagio para el día 30 de marzo sería de 23 a 27 casos confirmados en nuestro estado. -![](figuras/29-7.png) +![](figuras/30-7.png) diff --git a/datos/datos-covid-mexico.csv b/datos/datos-covid-mexico.csv index a26f0a3..4834c85 100644 --- a/datos/datos-covid-mexico.csv +++ b/datos/datos-covid-mexico.csv @@ -12,8 +12,10 @@ fecha,Dia,Casos,Diraio,Pormedio,Incremento,Tasa,Ro,Confirmados Log,Factor Log,In 21,11,251, 1.24 , 1.36 ,48 , 1.23 , 628 , 5.53 , 5.53 , 3.87 22,12,316, 1.26 , 1.35 ,65 , 1.35 , 790 , 5.76 , 5.76 , 4.17 23,13,367, 1.16 , 1.34 ,51 , 0.78 , 918 , 5.91 , 5.91 , 3.93 -24,14,405, 1.10 , 1.32 ,38 , 0.75 ," 1,013 ", 6.00 , 6.00 , 3.64 -25,15,475, 1.17 , 1.31 ,70 , 1.84 ," 1,188 ", 6.16 , 6.16 , 4.25 -26,16,585, 1.23 , 1.30 ,110 , 1.57 ," 1,463 ", 6.37 , 6.37 , 4.70 -27,17,717, 1.23 , 1.30 ,132 , 1.20 ," 1,793 ", 6.58 , 6.58 , 4.88 -28,18,848, 1.18 , 1.29 ,131 , 0.99 ," 2,120 ", 6.74 , 6.74 , 4.88 \ No newline at end of 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