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Table 6 Data variables, dependent parameters and independent parameters of model for delayed mortality and delayed killing effect

From: Predicting the impact of outdoor vector control interventions on malaria transmission intensity from semi-field studies

Symbol

Description

Unit

Prior

k

Index for night, \(k \in \{1,\ldots ,16\}\)

Integer

 

\(y_{k}\)

Number of mosquitoes caught by HLC over all HLC periods in night k

Integer

 

\(z_{k}\)

Number of mosquitoes caught by HLC over all HLC periods in night k and dead 12 h after the end of the semi-field experiment

Integer

 

y

Collection of \(y_{k}\) over all nights

Integer array

 

z

Collection of \(z_{k}\) over all nights

Integer array

 

\(p_{k}\)

Probability of a mosquito that is caught by HLC in night k to be dead 12 h after the end of the semi-field experiment

Probability

 

\(q_{k}\)

Probability of a mosquito that is caught by HLC in night k to be alive 12 h after the end of the semi-field experiment

Probability

 

p

Mean of \(p_{k}[\text {C}]\)

Probability

 

r

Mean of \(\text {logit}(p_{k}[\text {C}])\)

Real

\(\text {Logistic}(0,1)\)

\(\sigma _{r}\)

Standard deviation of \(\text {logit}(p_{k}[\text {C}])\)

Positive real

\(\text {Half-Cauchy}(0,1)\)

\(\omega _{k}\)

Normalised deviation of \(\text {logit}(p_{k}[\text {C}])\) from r

\(\text{Real}\)

\({\mathcal {N}}(0,1)\)

\(\xi\)

Postprandial killing effect

Real \(\in (-\infty , 1]\)

\(\text {Uniform}(0, 1)\)

  1. Data variables and parameters may be equipped with \([\text {C}]\) or \([\text {I}]\) to denote a control or intervention arm, respectively