Skip to main content

Table 3 Notation for semi-field data and semi-field model

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

Symbol

Description

Unit

\(\text {C}\)

Wildcard for control arm of any experiment

 

\(\text {I}\)

Wildcard for intervention arm of any experiment

 

n

Number of mosquitoes released at the beginning of the experimental night

Dimensionless

\(x_{\text {H}1}, x_{\text {H}2}, x_{\text {H}3}\) and \(x_{\text {H}4}\)

Number of mosquitoes caught in HLC period 1, 2, 3 and 4, respectively

Dimensionless

\(x_{\text {T}}\)

Number of mosquitoes caught in the trap at the end of the experiment

Dimensionless

\(x_{\text {L}}\)

Number of mosquitoes lost to follow-up at the end of the experiment

Dimensionless

k

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

 

\(D_{k}\), \(D_{k}[\text {I}]\) or \(D_{k}[\text {C}]\)

Data \((x_{\text {H1}}, x_{\text {H2}}, x_{\text {H3}}, x_{\text {H4}}, x_{\text {T}}, x_{\text {L}})\) from night k of unspecified, control or intervention arm, respectively

Dimensionless vector

D, \(D[\text {I}]\) or \(D[\text {C}]\)

Collection of \(D_{k}\), \(D_{k}[\text {I}]\) or \(D_{k}[\text {C}]\) over all available nights k of respective arm

Dimensionless vector

t

Time

Hour

\(P_{\text {A}}(t)\)

Probability to stay in host seeking state (\(\text {A}\)) within time t

Probability

\(P_{\text {H}}(t)\)

Probability to get caught by HLC (move from \(\text {A}\) to \(\text {H}\)) within time t

Probability

\(P_{\text {T}}(t)\)

Probability to get caught in the trap (move from \(\text {A}\) to \(\text {T}\)) within time t

Probability

\(P_{\text {M}}(t)\)

Probability to die (move from \(\text {A}\) to \(\text {M}\)) within time t; \(P_{\text {M}}(\theta _{d})\) corresponds to \(\text {P}_{\text {A}\mu }\) in Fig. 2a

Probability

\(p_{\text {H1}}, p_{\text {H2}}, p_{\text {H3}}, p_{\text {H4}}\)

Probability for a mosquito to get caught in HLC period 1, 2, 3 or 4, respectively

Probability

\(p_{\text {T}}\)

Probability for a mosquito to get caught in the trap

Probability

\(p_{\text {L}}\)

Probability for a mosquito to be lost to follow-up throughout the semi-field experiment, irrespective of being dead or alive.

Probability

\(\text {pr}\)

Logarithm of probability density function

Log-density