Time course of 2,4,5-trichlorophenoxyacetic acid, and the corresponding 2,4,5-trichlorophenol and 2,4,5-trichloroanisole as recovered in diethylether extracts.

mccall81_245T

Format

A dataframe containing the following variables.

name

the name of the compound observed. Note that T245 is used as an acronym for 2,4,5-T. T245 is a legitimate object name in R, which is necessary for specifying models using mkinmod.

time

a numeric vector containing sampling times in days after treatment

value

a numeric vector containing concentrations in percent of applied radioactivity

soil

a factor containing the name of the soil

Source

McCall P, Vrona SA, Kelley SS (1981) Fate of uniformly carbon-14 ring labeled 2,4,5-Trichlorophenoxyacetic acid and 2,4-dichlorophenoxyacetic acid. J Agric Chem 29, 100-107 http://dx.doi.org/10.1021/jf00103a026

Examples

SFO_SFO_SFO <- mkinmod(T245 = list(type = "SFO", to = "phenol"), phenol = list(type = "SFO", to = "anisole"), anisole = list(type = "SFO"))
#> Successfully compiled differential equation model from auto-generated C code.
fit.1 <- mkinfit(SFO_SFO_SFO, subset(mccall81_245T, soil == "Commerce"), quiet = TRUE) summary(fit.1, data = FALSE)
#> mkin version used for fitting: 0.9.48.1 #> R version used for fitting: 3.5.2 #> Date of fit: Thu Feb 21 15:12:02 2019 #> Date of summary: Thu Feb 21 15:12:02 2019 #> #> Equations: #> d_T245/dt = - k_T245_sink * T245 - k_T245_phenol * T245 #> d_phenol/dt = + k_T245_phenol * T245 - k_phenol_sink * phenol - #> k_phenol_anisole * phenol #> d_anisole/dt = + k_phenol_anisole * phenol - k_anisole_sink * anisole #> #> Model predictions using solution type deSolve #> #> Fitted with method Port using 574 model solutions performed in 3.856 s #> #> Weighting: none #> #> Starting values for parameters to be optimised: #> value type #> T245_0 100.9000 state #> k_T245_sink 0.1000 deparm #> k_T245_phenol 0.1001 deparm #> k_phenol_sink 0.1002 deparm #> k_phenol_anisole 0.1003 deparm #> k_anisole_sink 0.1004 deparm #> #> Starting values for the transformed parameters actually optimised: #> value lower upper #> T245_0 100.900000 -Inf Inf #> log_k_T245_sink -2.302585 -Inf Inf #> log_k_T245_phenol -2.301586 -Inf Inf #> log_k_phenol_sink -2.300587 -Inf Inf #> log_k_phenol_anisole -2.299590 -Inf Inf #> log_k_anisole_sink -2.298593 -Inf Inf #> #> Fixed parameter values: #> value type #> phenol_0 0 state #> anisole_0 0 state #> #> Optimised, transformed parameters with symmetric confidence intervals: #> Estimate Std. Error Lower Upper #> T245_0 103.9000 NA NA NA #> log_k_T245_sink -4.1130 NA NA NA #> log_k_T245_phenol -3.6120 NA NA NA #> log_k_phenol_sink -25.0800 NA NA NA #> log_k_phenol_anisole -0.9037 NA NA NA #> log_k_anisole_sink -5.0090 NA NA NA #> #> Parameter correlation:
#> Warning: Could not estimate covariance matrix; singular system:
#> Could not estimate covariance matrix; singular system: #> #> Residual standard error: 2.78 on 18 degrees of freedom #> #> Backtransformed parameters: #> Confidence intervals for internally transformed parameters are asymmetric. #> t-test (unrealistically) based on the assumption of normal distribution #> for estimators of untransformed parameters. #> Estimate t value Pr(>t) Lower Upper #> T245_0 1.039e+02 4.282e+01 7.236e-20 NA NA #> k_T245_sink 1.636e-02 8.901e-01 1.926e-01 NA NA #> k_T245_phenol 2.701e-02 1.504e+00 7.498e-02 NA NA #> k_phenol_sink 1.286e-11 4.575e-11 5.000e-01 NA NA #> k_phenol_anisole 4.051e-01 2.518e+00 1.075e-02 NA NA #> k_anisole_sink 6.679e-03 8.146e+00 9.469e-08 NA NA #> #> Chi2 error levels in percent: #> err.min n.optim df #> All data 10.070 6 16 #> T245 7.908 3 5 #> phenol 106.445 2 5 #> anisole 5.379 1 6 #> #> Resulting formation fractions: #> ff #> T245_sink 3.772e-01 #> T245_phenol 6.228e-01 #> phenol_sink 3.175e-11 #> phenol_anisole 1.000e+00 #> anisole_sink 1.000e+00 #> #> Estimated disappearance times: #> DT50 DT90 #> T245 15.982 53.091 #> phenol 1.711 5.685 #> anisole 103.784 344.763
# No convergence, no covariance matrix ... # k_phenol_sink is really small, therefore fix it to zero fit.2 <- mkinfit(SFO_SFO_SFO, subset(mccall81_245T, soil == "Commerce"), parms.ini = c(k_phenol_sink = 0), fixed_parms = "k_phenol_sink", quiet = TRUE) summary(fit.2, data = FALSE)
#> mkin version used for fitting: 0.9.48.1 #> R version used for fitting: 3.5.2 #> Date of fit: Thu Feb 21 15:12:04 2019 #> Date of summary: Thu Feb 21 15:12:04 2019 #> #> Equations: #> d_T245/dt = - k_T245_sink * T245 - k_T245_phenol * T245 #> d_phenol/dt = + k_T245_phenol * T245 - k_phenol_sink * phenol - #> k_phenol_anisole * phenol #> d_anisole/dt = + k_phenol_anisole * phenol - k_anisole_sink * anisole #> #> Model predictions using solution type deSolve #> #> Fitted with method Port using 246 model solutions performed in 1.607 s #> #> Weighting: none #> #> Starting values for parameters to be optimised: #> value type #> T245_0 100.9000 state #> k_T245_sink 0.1000 deparm #> k_T245_phenol 0.1001 deparm #> k_phenol_anisole 0.1002 deparm #> k_anisole_sink 0.1003 deparm #> #> Starting values for the transformed parameters actually optimised: #> value lower upper #> T245_0 100.900000 -Inf Inf #> log_k_T245_sink -2.302585 -Inf Inf #> log_k_T245_phenol -2.301586 -Inf Inf #> log_k_phenol_anisole -2.300587 -Inf Inf #> log_k_anisole_sink -2.299590 -Inf Inf #> #> Fixed parameter values: #> value type #> phenol_0 0 state #> anisole_0 0 state #> k_phenol_sink 0 deparm #> #> Optimised, transformed parameters with symmetric confidence intervals: #> Estimate Std. Error Lower Upper #> T245_0 103.9000 2.35200 98.930 108.8000 #> log_k_T245_sink -4.1130 0.13250 -4.390 -3.8350 #> log_k_T245_phenol -3.6120 0.05002 -3.716 -3.5070 #> log_k_phenol_anisole -0.9037 0.30580 -1.544 -0.2637 #> log_k_anisole_sink -5.0090 0.11180 -5.243 -4.7750 #> #> Parameter correlation: #> T245_0 log_k_T245_sink log_k_T245_phenol #> T245_0 1.00000 0.63761 -0.1742 #> log_k_T245_sink 0.63761 1.00000 -0.3831 #> log_k_T245_phenol -0.17416 -0.38313 1.0000 #> log_k_phenol_anisole -0.05948 0.08745 -0.3047 #> log_k_anisole_sink -0.16208 -0.60469 0.5227 #> log_k_phenol_anisole log_k_anisole_sink #> T245_0 -0.05948 -0.1621 #> log_k_T245_sink 0.08745 -0.6047 #> log_k_T245_phenol -0.30470 0.5227 #> log_k_phenol_anisole 1.00000 -0.1774 #> log_k_anisole_sink -0.17744 1.0000 #> #> Residual standard error: 2.706 on 19 degrees of freedom #> #> Backtransformed parameters: #> Confidence intervals for internally transformed parameters are asymmetric. #> t-test (unrealistically) based on the assumption of normal distribution #> for estimators of untransformed parameters. #> Estimate t value Pr(>t) Lower Upper #> T245_0 1.039e+02 44.160 6.462e-21 98.930000 108.80000 #> k_T245_sink 1.636e-02 7.545 1.978e-07 0.012400 0.02159 #> k_T245_phenol 2.701e-02 19.990 1.607e-14 0.024320 0.02999 #> k_phenol_anisole 4.051e-01 3.270 2.014e-03 0.213600 0.76820 #> k_anisole_sink 6.679e-03 8.942 1.544e-08 0.005285 0.00844 #> #> Chi2 error levels in percent: #> err.min n.optim df #> All data 9.831 5 17 #> T245 7.908 3 5 #> phenol 99.808 1 6 #> anisole 5.379 1 6 #> #> Resulting formation fractions: #> ff #> T245_sink 0.3772 #> T245_phenol 0.6228 #> phenol_anisole 1.0000 #> phenol_sink 0.0000 #> anisole_sink 1.0000 #> #> Estimated disappearance times: #> DT50 DT90 #> T245 15.982 53.091 #> phenol 1.711 5.685 #> anisole 103.784 344.763