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. R^{2}

AIC

BIC

Adj. R^{2}


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 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. *Full model excludes log_{10}(β_{ir}), log_{10}(β_{sr}), γ_{s} and MIC_{i} to prevent overfitting. ^{A}Peaked equilibrium level has 3 outliers removed (from reduced model and from full model). ^{B}Peaked relative equilibrium level has one outlier removed (from reduced model and from full model)