Expanding behavior pattern sensitivity analysis with model selection and survival analysis

BMC Veterinary Research

Table 1 Linear regression models for proportion-resistant absolute and relative equilibrium levels of the three behavior modes

Behavior Mode	Behavior Pattern Measure	Most Parsimonious Model								Full Model
		Standardized Input Parameters Coefficient (Standard Error)					Fit Statistics			Fit Statistics
		p _r	start _r	λ _in	λ _out	α	AIC	BIC	Adj. R²	AIC	BIC	Adj. R²
Increasing	Equilibrium Level	0.101 (0.0006)		0.005 (0.0007)		−0.004 (0.0007)	− 203	−197	.999	− 363*	− 335*	1*
Increasing	Relative Equilibrium Level	0.069 (0.002)	−0.068 (0.002)				− 147	−142	.986	− 239*	−211*	0.999*
Decreasing	Equilibrium Level	0.097 (0.0001)		0.001 (0.0002)	−0.001 (0.0001)	−0.001 (0.0001)	− 1321	− 1305	0.999	− 1309	− 1231	0.999
Decreasing	Relative Equilibrium Level	0.065 (0.0004)	−0.063 (0.0004)	0.013 (0.0008)			− 971	− 957	0.997	− 960	− 882	0.997
Peaked	Equilibrium Level ^A	0.121 (0.0001)		0.003 (0.0002)	−0.001 (0.0001)	−0.002 (0.0001)	− 2040	− 2020	0.999	− 2030	− 1936	0.999
Peaked	Relative Equilibrium Level ^B	0.081 (0.0005)	−0.081 (0.0005)	−0.007 (0.0007)			− 1566	− 1549	0.994	− 1562	− 1468	0.995

The example mathematical model was for the proportion of tetracycline-resistant enteric Escherichia coli in a beef steer during and after administration of oral chlortetracycline. A separate linear regression model was built for each behavior pattern measure of each behavior mode. The behavior pattern measure was the dependent variable in the linear regression models. Equilibrium was reached by 36% of increasing behavior simulations, 38% of decreasing behavior simulations and 24% of peaked behavior simulations after chlortetracycline administration ended and before the end of the simulation period. Simulations that did not reach equilibrium were excluded from these models. Coefficients and standard errors are listed for the standardized parameters that were included in each most parsimonious linear regression model. Full model refers to a linear regression model including all the parameters listed in Table 6 as independent variables. Akaike Information Criterion (AIC), Bayesian Information Criterion (BIC), and adjusted R² are given for the most parsimonious and the full model. *Full model excludes log₁₀(β_ir), log₁₀(β_sr), γ_s and MIC_i to prevent overfitting. ^APeaked equilibrium level has 3 outliers removed (from reduced model and from full model). ^BPeaked relative equilibrium level has one outlier removed (from reduced model and from full model)

ISSN: 1746-6148