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}

δ

MIC
_{
s}

H
_{
i}

V
_{
LI}

η
_{
LI}

γ
_{
LI}

AIC

BIC

Adj R^{2}

AIC

BIC

Adj R^{2}


Increasing

Equilibrium time

1868 (347)

− 883 (313)
 
− 1085 (352)
  
− 1526 (352)

− 884 (321)
 
− 1141 (292)

427

437

0.733

436*

464*

−0.706*

Decreasing

Equilibrium Time

p
_{
r}

− 1527 (514)

1233 (207)

− 3488 (396)
 
− 750 (175)

− 1107 (180)
 
− 664 (179)
  
2141

2172

0.561

2149

2226

0.583

p
_{
r}
^{2}

805 (408)

p
_{
r}
^{3}

552 (331)

p
_{
r}
^{4}

− 410 (156)

Peaked

Equilibrium Time

810 (175)

− 667 (174)

− 1807 (279)

660 (139)

− 781 (123)

− 1393 (154)
 
− 842 (145)

− 628 (146)
 
3812

3846

0.423

3824

3918

0.436

 The example mathematical model was for the proportion of tetracyclineresistant 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 R^{2} are given for the most parsimonious and the full model. *Excludes log_{10}(β_{ir}), log_{10}(β_{sr}), γ_{s} and MIC_{i} to prevent overfitting