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Table 6 Comparison of models describing density dependence in the mean weight of female Ascaris lumbricoides

From: Density-dependent effects on the weight of female Ascaris lumbricoides infections of humans and its impact on patterns of egg production

Population

Model

Model equation

Model description

Test

LRS

p-value

AIC

Baseline

A

μ W = α 1 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeqiVd02aaSbaaSqaaiabdEfaxbqabaGccqGH9aqpcqaHXoqydaWgaaWcbaGaeGymaedabeaaaaa@32B9@

no density dependence

-

-

-

4671.33

 

B

μ W = α 1 n ( 1 + α 2 n ) MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeqiVd02aaSbaaSqaaiabdEfaxbqabaGccqGH9aqpjuaGdaWcaaqaaiabeg7aHnaaBaaabaGaeGymaedabeaacqWGUbGBaeaacqGGOaakcqaIXaqmcqGHRaWkcqaHXoqydaWgaaqaaiabikdaYaqabaGaemOBa4MaeiykaKcaaaaa@3C4C@

limitation

A vs. B

43.36

<0.0001

4631.97

 

C†

μ W = α 1 n ( α 3 − 1 ) ( 1 + α 2 n a 3 ) MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeqiVd02aaSbaaSqaaiabdEfaxbqabaGccqGH9aqpjuaGdaWcaaqaaiabeg7aHnaaBaaabaGaeGymaedabeaacqWGUbGBdaahaaqabeaacqGGOaakcqaHXoqydaWgaaqaaiabiodaZaqabaGaeyOeI0IaeGymaeJaeiykaKcaaaqaaiabcIcaOiabigdaXiabgUcaRiabeg7aHnaaBaaabaGaeGOmaidabeaacqWGUbGBdaahaaqabeaacqWGHbqydaWgaaqaaiabiodaZaqabaaaaiabcMcaPaaaaaa@4533@

facilitation preceding limitation

B vs. C

38.05

<0.0001

4597.91

1st re-infection

A

μ W = α 1 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeqiVd02aaSbaaSqaaiabdEfaxbqabaGccqGH9aqpcqaHXoqydaWgaaWcbaGaeGymaedabeaaaaa@32B9@

no density dependence

-

-

-

2314.29

 

B

μ W = α 1 n ( 1 + α 2 n ) MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeqiVd02aaSbaaSqaaiabdEfaxbqabaGccqGH9aqpjuaGdaWcaaqaaiabeg7aHnaaBaaabaGaeGymaedabeaacqWGUbGBaeaacqGGOaakcqaIXaqmcqGHRaWkcqaHXoqydaWgaaqaaiabikdaYaqabaGaemOBa4MaeiykaKcaaaaa@3C4C@

limitation

A vs. B

18.98

<0.0001

2299.31

 

C†

μ W = α 1 n ( α 3 − 1 ) ( 1 + α 2 n a 3 ) MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeqiVd02aaSbaaSqaaiabdEfaxbqabaGccqGH9aqpjuaGdaWcaaqaaiabeg7aHnaaBaaabaGaeGymaedabeaacqWGUbGBdaahaaqabeaacqGGOaakcqaHXoqydaWgaaqaaiabiodaZaqabaGaeyOeI0IaeGymaeJaeiykaKcaaaqaaiabcIcaOiabigdaXiabgUcaRiabeg7aHnaaBaaabaGaeGOmaidabeaacqWGUbGBdaahaaqabeaacqWGHbqydaWgaaqaaiabiodaZaqabaaaaiabcMcaPaaaaaa@4533@

facilitation preceding limitation

B vs. C

17.99

<0.0001

2285.32

2nd re-infection

A

μ W = α 1 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeqiVd02aaSbaaSqaaiabdEfaxbqabaGccqGH9aqpcqaHXoqydaWgaaWcbaGaeGymaedabeaaaaa@32B9@

no density dependence

-

-

-

1976.29

 

B

μ W = α 1 n ( 1 + α 2 n ) MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeqiVd02aaSbaaSqaaiabdEfaxbqabaGccqGH9aqpjuaGdaWcaaqaaiabeg7aHnaaBaaabaGaeGymaedabeaacqWGUbGBaeaacqGGOaakcqaIXaqmcqGHRaWkcqaHXoqydaWgaaqaaiabikdaYaqabaGaemOBa4MaeiykaKcaaaaa@3C4C@

limitation

A vs. B

12.36

0.0021

1967.93

 

C†

μ W = α 1 n ( α 3 − 1 ) ( 1 + α 2 n a 3 ) MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeqiVd02aaSbaaSqaaiabdEfaxbqabaGccqGH9aqpjuaGdaWcaaqaaiabeg7aHnaaBaaabaGaeGymaedabeaacqWGUbGBdaahaaqabeaacqGGOaakcqaHXoqydaWgaaqaaiabiodaZaqabaGaeyOeI0IaeGymaeJaeiykaKcaaaqaaiabcIcaOiabigdaXiabgUcaRiabeg7aHnaaBaaabaGaeGOmaidabeaacqWGUbGBdaahaaqabeaacqWGHbqydaWgaaqaaiabiodaZaqabaaaaiabcMcaPaaaaaa@4533@

facilitation preceding limitation

B vs. C

6.18

0.046

1965.75

  1. Comparison of the goodness-of-fit of special cases of the generalised equation [equation (2)] describing the relationship between the expected value of the per host mean weight of female Ascaris, μ W , and the per host female worm burden, n, using a likelihood ratio test and AIC; p-values were calculated assuming that the LRS follows, under the null hypothesis, a chi-square distribution with 1 d.f. † denotes the best-fit of each model type in each population.