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Table 1 Quantities in the models

From: Can trials of spatial repellents be used to estimate mosquito movement?

Quantity Description
Included in model A and model B
 \( N_{t} \) Number of mosquitoes caught in all houses on day \( t \)
 \( C_{h} \) Baseline proportion of mosquitoes in house \( h \) of mosquitoes in all houses, when there is zero coverage
 \( P_{ht} \) Proportion of mosquitoes in house \( h \) on day \( t \) of those in all houses
 \( O_{at} \) Proportion of mosquitoes diverted from house \( a \) on day \( t \) of those in all houses
 \( I_{bt} \) Proportion of mosquitoes diverted to house \( b \) on day \( t \) of those in all houses
 \( Pr(M_{a.t} ) \) Probability of mosquito being diverted from house \( a \) on day \( t \)
 \( Pr(M_{abt} ) \) Probability that diverted mosquitoes move from house \( a \) to house \( b \)
 \( Q_{ht } \) Predicted proportion of mosquitoes in house \( h \) on day \( t \) of those in all houses
 \( \beta \) Proportion of mosquitoes diverted of those in houses using repellent
 \( \varphi \) Proportion of mosquitoes moving to another house of those diverted
 \( {{\uplambda }} \) Mean distance between households for diverted mosquitoes
 \( s_{at} \) Presence of spatial repellent in house \( a \) on day \( t \)
 \( d_{ab} \) Distance between house \( a \) and house \( b \)
Additionally included in model B
 \( N_{t}^{'} \) Number of mosquitoes caught in houses and those diverted elsewhere
 \( Q_{et}^{'} \) Predicted proportion of mosquitoes diverted elsewhere on day \( t \) of mosquitoes in houses or diverted elsewhere
 \( Q_{ht}^{'} \) Predicted proportion of mosquitoes in house \( h \) on day \( t \) of those in all houses or diverted elsewhere