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Table 2 Raw parameter estimates: force of infection and detectability

From: Asymptomatic Plasmodium falciparum infections may not be shortened by acquired immunity

Survival model

FOI by season (person-1 year-1)

Detectability

AIC

\(\lambda _1\)

\(\lambda _2\)

\(\lambda _3\)

\(\lambda _4\)

\(\lambda _5\)

\(\lambda _6\)

\(q_0\)

\(q_1\) (2-months-1)

 

Weibull

74.5

41.6

36.3

13.2

22.7

56.9

−0.72

−0.003727

7,908.5

Gamma

169.1

93.5

89.2

9.1

57.1

126.3

−0.84

−0.004692

7,944.8

Lognormal

41.7

26.0

21.6

7.5

15.1

38.8

−0.89

−0.004985

7,978.3

Exponential

45.1

19.3

18.1

7.4

12.3

39.8

−0.84

−0.002865

8,022.6

  1. Separate FOI parameters (\(\lambda _1, \lambda _2, \ldots, \lambda _6\)) were estimated for each of the six 2-month seasons. For a host of given age a (in units of two months) the detectability can be calculated as \(q(a)=\text{ logit }^{-1}(q_0 + q_1(a-120.72))\). Lower AIC values indicate a better fit to the data.