Skip to main content

Table 1 Table of notations of all variables and distributions defined in the methods

From: The impact of local vaccine coverage and recent incidence on measles transmission in France between 2009 and 2018

Parameter

Definition

i, j

Regions

t

Time

Yi, t

Number of cases reported in the region i at time t

\({Y}_{i,t}^{\prime }\)

Potential for transmission in the region i at time t

μi, t

Average number of cases predicted in the region i at time t

λ

Autoregressive predictor

ϕ

Neighbourhood predictor

ν

Endemic predictor

ω

Connectivity matrix

 α

Intercept

β

Vector of coefficients

z

Matrix of covariates

f(t)

Distribution of the serial interval

mit

Number of inhabitants in the region i at time t

dij

Distance between regions i and j

γ, δ, ϵ

Parameters of the exponential gravity model

uit

Average vaccine coverage in the region i at time t

nit

Recent incidence per million in the region i at time t

Nit

Category of recent incidence in the region i at time t

sit

Surface area of the region i at time t