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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.