1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
|
<!DOCTYPE html>
<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1.0"><title>Summary method for class "nlme.mmkin" — summary.nlme.mmkin • mkin</title><!-- jquery --><script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.4.1/jquery.min.js" integrity="sha256-CSXorXvZcTkaix6Yvo6HppcZGetbYMGWSFlBw8HfCJo=" crossorigin="anonymous"></script><!-- Bootstrap --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.4.1/css/bootstrap.min.css" integrity="sha256-bZLfwXAP04zRMK2BjiO8iu9pf4FbLqX6zitd+tIvLhE=" crossorigin="anonymous"><script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.4.1/js/bootstrap.min.js" integrity="sha256-nuL8/2cJ5NDSSwnKD8VqreErSWHtnEP9E7AySL+1ev4=" crossorigin="anonymous"></script><!-- bootstrap-toc --><link rel="stylesheet" href="../bootstrap-toc.css"><script src="../bootstrap-toc.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- pkgdown --><link href="../pkgdown.css" rel="stylesheet"><script src="../pkgdown.js"></script><meta property="og:title" content="Summary method for class " nlme.mmkin summary.nlme.mmkin><meta property="og:description" content="Lists model equations, initial parameter values, optimised parameters
for fixed effects (population), random effects (deviations from the
population mean) and residual error model, as well as the resulting
endpoints such as formation fractions and DT50 values. Optionally
(default is FALSE), the data are listed in full."><meta name="robots" content="noindex"><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
<script src="https://oss.maxcdn.com/html5shiv/3.7.3/html5shiv.min.js"></script>
<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script>
<![endif]--></head><body data-spy="scroll" data-target="#toc">
<div class="container template-reference-topic">
<header><div class="navbar navbar-default navbar-fixed-top" role="navigation">
<div class="container">
<div class="navbar-header">
<button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#navbar" aria-expanded="false">
<span class="sr-only">Toggle navigation</span>
<span class="icon-bar"></span>
<span class="icon-bar"></span>
<span class="icon-bar"></span>
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
<span class="version label label-info" data-toggle="tooltip" data-placement="bottom" title="In-development version">1.2.3</span>
</span>
</div>
<div id="navbar" class="navbar-collapse collapse">
<ul class="nav navbar-nav"><li>
<a href="../reference/index.html">Reference</a>
</li>
<li class="dropdown">
<a href="#" class="dropdown-toggle" data-toggle="dropdown" role="button" data-bs-toggle="dropdown" aria-expanded="false">
Articles
<span class="caret"></span>
</a>
<ul class="dropdown-menu" role="menu"><li>
<a href="../articles/mkin.html">Introduction to mkin</a>
</li>
<li class="divider">
<li class="dropdown-header">Example evaluations with (generalised) nonlinear least squares</li>
<li>
<a href="../articles/FOCUS_D.html">Example evaluation of FOCUS Example Dataset D</a>
</li>
<li>
<a href="../articles/FOCUS_L.html">Example evaluation of FOCUS Laboratory Data L1 to L3</a>
</li>
<li>
<a href="../articles/web_only/FOCUS_Z.html">Example evaluation of FOCUS Example Dataset Z</a>
</li>
<li class="divider">
<li class="dropdown-header">Example evaluations with hierarchical models (nonlinear mixed-effects models)</li>
<li>
<a href="../articles/prebuilt/2022_dmta_parent.html">Testing hierarchical parent degradation kinetics with residue data on dimethenamid and dimethenamid-P</a>
</li>
<li>
<a href="../articles/prebuilt/2022_dmta_pathway.html">Testing hierarchical pathway kinetics with residue data on dimethenamid and dimethenamid-P</a>
</li>
<li>
<a href="../articles/prebuilt/2022_cyan_pathway.html">Testing hierarchical pathway kinetics with residue data on cyantraniliprole</a>
</li>
<li>
<a href="../articles/web_only/dimethenamid_2018.html">Comparison of saemix and nlme evaluations of dimethenamid data from 2018</a>
</li>
<li>
<a href="../articles/web_only/multistart.html">Short demo of the multistart method</a>
</li>
<li class="divider">
<li class="dropdown-header">Performance</li>
<li>
<a href="../articles/web_only/compiled_models.html">Performance benefit by using compiled model definitions in mkin</a>
</li>
<li>
<a href="../articles/web_only/benchmarks.html">Benchmark timings for mkin</a>
</li>
<li>
<a href="../articles/web_only/saem_benchmarks.html">Benchmark timings for saem.mmkin</a>
</li>
<li class="divider">
<li class="dropdown-header">Miscellaneous</li>
<li>
<a href="../articles/twa.html">Calculation of time weighted average concentrations with mkin</a>
</li>
<li>
<a href="../articles/web_only/NAFTA_examples.html">Example evaluation of NAFTA SOP Attachment examples</a>
</li>
</ul></li>
<li>
<a href="../news/index.html">News</a>
</li>
</ul><ul class="nav navbar-nav navbar-right"><li>
<a href="https://github.com/jranke/mkin/" class="external-link">
<span class="fab fa-github fa-lg"></span>
</a>
</li>
</ul></div><!--/.nav-collapse -->
</div><!--/.container -->
</div><!--/.navbar -->
</header><div class="row">
<div class="col-md-9 contents">
<div class="page-header">
<h1>Summary method for class "nlme.mmkin"</h1>
<small class="dont-index">Source: <a href="https://github.com/jranke/mkin/blob/HEAD/R/summary.nlme.mmkin.R" class="external-link"><code>R/summary.nlme.mmkin.R</code></a></small>
<div class="hidden name"><code>summary.nlme.mmkin.Rd</code></div>
</div>
<div class="ref-description">
<p>Lists model equations, initial parameter values, optimised parameters
for fixed effects (population), random effects (deviations from the
population mean) and residual error model, as well as the resulting
endpoints such as formation fractions and DT50 values. Optionally
(default is FALSE), the data are listed in full.</p>
</div>
<div id="ref-usage">
<div class="sourceCode"><pre class="sourceCode r"><code><span><span class="co"># S3 method for nlme.mmkin</span></span>
<span><span class="fu"><a href="https://rdrr.io/pkg/saemix/man/summary-methods.html" class="external-link">summary</a></span><span class="op">(</span></span>
<span> <span class="va">object</span>,</span>
<span> data <span class="op">=</span> <span class="cn">FALSE</span>,</span>
<span> verbose <span class="op">=</span> <span class="cn">FALSE</span>,</span>
<span> distimes <span class="op">=</span> <span class="cn">TRUE</span>,</span>
<span> alpha <span class="op">=</span> <span class="fl">0.05</span>,</span>
<span> <span class="va">...</span></span>
<span><span class="op">)</span></span>
<span></span>
<span><span class="co"># S3 method for summary.nlme.mmkin</span></span>
<span><span class="fu"><a href="https://rdrr.io/r/base/print.html" class="external-link">print</a></span><span class="op">(</span><span class="va">x</span>, digits <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/Extremes.html" class="external-link">max</a></span><span class="op">(</span><span class="fl">3</span>, <span class="fu"><a href="https://rdrr.io/r/base/options.html" class="external-link">getOption</a></span><span class="op">(</span><span class="st">"digits"</span><span class="op">)</span> <span class="op">-</span> <span class="fl">3</span><span class="op">)</span>, verbose <span class="op">=</span> <span class="va">x</span><span class="op">$</span><span class="va">verbose</span>, <span class="va">...</span><span class="op">)</span></span></code></pre></div>
</div>
<div id="arguments">
<h2>Arguments</h2>
<dl><dt>object</dt>
<dd><p>an object of class <a href="nlme.mmkin.html">nlme.mmkin</a></p></dd>
<dt>data</dt>
<dd><p>logical, indicating whether the full data should be included in
the summary.</p></dd>
<dt>verbose</dt>
<dd><p>Should the summary be verbose?</p></dd>
<dt>distimes</dt>
<dd><p>logical, indicating whether DT50 and DT90 values should be
included.</p></dd>
<dt>alpha</dt>
<dd><p>error level for confidence interval estimation from the t
distribution</p></dd>
<dt>...</dt>
<dd><p>optional arguments passed to methods like <code>print</code>.</p></dd>
<dt>x</dt>
<dd><p>an object of class summary.nlme.mmkin</p></dd>
<dt>digits</dt>
<dd><p>Number of digits to use for printing</p></dd>
</dl></div>
<div id="value">
<h2>Value</h2>
<p>The summary function returns a list based on the <a href="https://rdrr.io/pkg/nlme/man/nlme.html" class="external-link">nlme</a> object
obtained in the fit, with at least the following additional components</p>
<dl><dt>nlmeversion, mkinversion, Rversion</dt>
<dd><p>The nlme, mkin and R versions used</p></dd>
<dt>date.fit, date.summary</dt>
<dd><p>The dates where the fit and the summary were
produced</p></dd>
<dt>diffs</dt>
<dd><p>The differential equations used in the degradation model</p></dd>
<dt>use_of_ff</dt>
<dd><p>Was maximum or minimum use made of formation fractions</p></dd>
<dt>data</dt>
<dd><p>The data</p></dd>
<dt>confint_trans</dt>
<dd><p>Transformed parameters as used in the optimisation, with confidence intervals</p></dd>
<dt>confint_back</dt>
<dd><p>Backtransformed parameters, with confidence intervals if available</p></dd>
<dt>ff</dt>
<dd><p>The estimated formation fractions derived from the fitted
model.</p></dd>
<dt>distimes</dt>
<dd><p>The DT50 and DT90 values for each observed variable.</p></dd>
<dt>SFORB</dt>
<dd><p>If applicable, eigenvalues of SFORB components of the model.</p></dd>
</dl><p>The print method is called for its side effect, i.e. printing the summary.</p>
</div>
<div id="author">
<h2>Author</h2>
<p>Johannes Ranke for the mkin specific parts
José Pinheiro and Douglas Bates for the components inherited from nlme</p>
</div>
<div id="ref-examples">
<h2>Examples</h2>
<div class="sourceCode"><pre class="sourceCode r"><code><span class="r-in"><span></span></span>
<span class="r-in"><span><span class="co"># Generate five datasets following SFO kinetics</span></span></span>
<span class="r-in"><span><span class="va">sampling_times</span> <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="fl">0</span>, <span class="fl">1</span>, <span class="fl">3</span>, <span class="fl">7</span>, <span class="fl">14</span>, <span class="fl">28</span>, <span class="fl">60</span>, <span class="fl">90</span>, <span class="fl">120</span><span class="op">)</span></span></span>
<span class="r-in"><span><span class="va">dt50_sfo_in_pop</span> <span class="op"><-</span> <span class="fl">50</span></span></span>
<span class="r-in"><span><span class="va">k_in_pop</span> <span class="op"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/Log.html" class="external-link">log</a></span><span class="op">(</span><span class="fl">2</span><span class="op">)</span> <span class="op">/</span> <span class="va">dt50_sfo_in_pop</span></span></span>
<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/base/Random.html" class="external-link">set.seed</a></span><span class="op">(</span><span class="fl">1234</span><span class="op">)</span></span></span>
<span class="r-in"><span><span class="va">k_in</span> <span class="op"><-</span> <span class="fu"><a href="https://rdrr.io/r/stats/Lognormal.html" class="external-link">rlnorm</a></span><span class="op">(</span><span class="fl">5</span>, <span class="fu"><a href="https://rdrr.io/r/base/Log.html" class="external-link">log</a></span><span class="op">(</span><span class="va">k_in_pop</span><span class="op">)</span>, <span class="fl">0.5</span><span class="op">)</span></span></span>
<span class="r-in"><span><span class="va">SFO</span> <span class="op"><-</span> <span class="fu"><a href="mkinmod.html">mkinmod</a></span><span class="op">(</span>parent <span class="op">=</span> <span class="fu"><a href="mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"SFO"</span><span class="op">)</span><span class="op">)</span></span></span>
<span class="r-in"><span></span></span>
<span class="r-in"><span><span class="va">pred_sfo</span> <span class="op"><-</span> <span class="kw">function</span><span class="op">(</span><span class="va">k</span><span class="op">)</span> <span class="op">{</span></span></span>
<span class="r-in"><span> <span class="fu"><a href="mkinpredict.html">mkinpredict</a></span><span class="op">(</span><span class="va">SFO</span>,</span></span>
<span class="r-in"><span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span>k_parent <span class="op">=</span> <span class="va">k</span><span class="op">)</span>,</span></span>
<span class="r-in"><span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span>parent <span class="op">=</span> <span class="fl">100</span><span class="op">)</span>,</span></span>
<span class="r-in"><span> <span class="va">sampling_times</span><span class="op">)</span></span></span>
<span class="r-in"><span><span class="op">}</span></span></span>
<span class="r-in"><span></span></span>
<span class="r-in"><span><span class="va">ds_sfo_mean</span> <span class="op"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/lapply.html" class="external-link">lapply</a></span><span class="op">(</span><span class="va">k_in</span>, <span class="va">pred_sfo</span><span class="op">)</span></span></span>
<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/base/names.html" class="external-link">names</a></span><span class="op">(</span><span class="va">ds_sfo_mean</span><span class="op">)</span> <span class="op"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/paste.html" class="external-link">paste</a></span><span class="op">(</span><span class="st">"ds"</span>, <span class="fl">1</span><span class="op">:</span><span class="fl">5</span><span class="op">)</span></span></span>
<span class="r-in"><span></span></span>
<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/base/Random.html" class="external-link">set.seed</a></span><span class="op">(</span><span class="fl">12345</span><span class="op">)</span></span></span>
<span class="r-in"><span><span class="va">ds_sfo_syn</span> <span class="op"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/lapply.html" class="external-link">lapply</a></span><span class="op">(</span><span class="va">ds_sfo_mean</span>, <span class="kw">function</span><span class="op">(</span><span class="va">ds</span><span class="op">)</span> <span class="op">{</span></span></span>
<span class="r-in"><span> <span class="fu"><a href="add_err.html">add_err</a></span><span class="op">(</span><span class="va">ds</span>,</span></span>
<span class="r-in"><span> sdfunc <span class="op">=</span> <span class="kw">function</span><span class="op">(</span><span class="va">value</span><span class="op">)</span> <span class="fu"><a href="https://rdrr.io/r/base/MathFun.html" class="external-link">sqrt</a></span><span class="op">(</span><span class="fl">1</span><span class="op">^</span><span class="fl">2</span> <span class="op">+</span> <span class="va">value</span><span class="op">^</span><span class="fl">2</span> <span class="op">*</span> <span class="fl">0.07</span><span class="op">^</span><span class="fl">2</span><span class="op">)</span>,</span></span>
<span class="r-in"><span> n <span class="op">=</span> <span class="fl">1</span><span class="op">)</span><span class="op">[[</span><span class="fl">1</span><span class="op">]</span><span class="op">]</span></span></span>
<span class="r-in"><span><span class="op">}</span><span class="op">)</span></span></span>
<span class="r-in"><span></span></span>
<span class="r-in"><span><span class="co"># \dontrun{</span></span></span>
<span class="r-in"><span><span class="co"># Evaluate using mmkin and nlme</span></span></span>
<span class="r-in"><span><span class="kw"><a href="https://rdrr.io/r/base/library.html" class="external-link">library</a></span><span class="op">(</span><span class="va"><a href="https://svn.r-project.org/R-packages/trunk/nlme/" class="external-link">nlme</a></span><span class="op">)</span></span></span>
<span class="r-in"><span><span class="va">f_mmkin</span> <span class="op"><-</span> <span class="fu"><a href="mmkin.html">mmkin</a></span><span class="op">(</span><span class="st">"SFO"</span>, <span class="va">ds_sfo_syn</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span>, error_model <span class="op">=</span> <span class="st">"tc"</span>, cores <span class="op">=</span> <span class="fl">1</span><span class="op">)</span></span></span>
<span class="r-wrn co"><span class="r-pr">#></span> <span class="warning">Warning: </span>Optimisation did not converge:</span>
<span class="r-wrn co"><span class="r-pr">#></span> iteration limit reached without convergence (10)</span>
<span class="r-in"><span><span class="va">f_nlme</span> <span class="op"><-</span> <span class="fu"><a href="https://rdrr.io/pkg/nlme/man/nlme.html" class="external-link">nlme</a></span><span class="op">(</span><span class="va">f_mmkin</span><span class="op">)</span></span></span>
<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/pkg/saemix/man/summary-methods.html" class="external-link">summary</a></span><span class="op">(</span><span class="va">f_nlme</span>, data <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
<span class="r-out co"><span class="r-pr">#></span> nlme version used for fitting: 3.1.162 </span>
<span class="r-out co"><span class="r-pr">#></span> mkin version used for pre-fitting: 1.2.3 </span>
<span class="r-out co"><span class="r-pr">#></span> R version used for fitting: 4.2.3 </span>
<span class="r-out co"><span class="r-pr">#></span> Date of fit: Sun Apr 16 08:34:41 2023 </span>
<span class="r-out co"><span class="r-pr">#></span> Date of summary: Sun Apr 16 08:34:41 2023 </span>
<span class="r-out co"><span class="r-pr">#></span> </span>
<span class="r-out co"><span class="r-pr">#></span> Equations:</span>
<span class="r-out co"><span class="r-pr">#></span> d_parent/dt = - k_parent * parent</span>
<span class="r-out co"><span class="r-pr">#></span> </span>
<span class="r-out co"><span class="r-pr">#></span> Data:</span>
<span class="r-out co"><span class="r-pr">#></span> 90 observations of 1 variable(s) grouped in 5 datasets</span>
<span class="r-out co"><span class="r-pr">#></span> </span>
<span class="r-out co"><span class="r-pr">#></span> Model predictions using solution type analytical </span>
<span class="r-out co"><span class="r-pr">#></span> </span>
<span class="r-out co"><span class="r-pr">#></span> Fitted in 0.194 s using 4 iterations</span>
<span class="r-out co"><span class="r-pr">#></span> </span>
<span class="r-out co"><span class="r-pr">#></span> Variance model: Two-component variance function </span>
<span class="r-out co"><span class="r-pr">#></span> </span>
<span class="r-out co"><span class="r-pr">#></span> Mean of starting values for individual parameters:</span>
<span class="r-out co"><span class="r-pr">#></span> parent_0 log_k_parent </span>
<span class="r-out co"><span class="r-pr">#></span> 101.569 -4.454 </span>
<span class="r-out co"><span class="r-pr">#></span> </span>
<span class="r-out co"><span class="r-pr">#></span> Fixed degradation parameter values:</span>
<span class="r-out co"><span class="r-pr">#></span> None</span>
<span class="r-out co"><span class="r-pr">#></span> </span>
<span class="r-out co"><span class="r-pr">#></span> Results:</span>
<span class="r-out co"><span class="r-pr">#></span> </span>
<span class="r-out co"><span class="r-pr">#></span> AIC BIC logLik</span>
<span class="r-out co"><span class="r-pr">#></span> 584.5 599.5 -286.2</span>
<span class="r-out co"><span class="r-pr">#></span> </span>
<span class="r-out co"><span class="r-pr">#></span> Optimised, transformed parameters with symmetric confidence intervals:</span>
<span class="r-out co"><span class="r-pr">#></span> lower est. upper</span>
<span class="r-out co"><span class="r-pr">#></span> parent_0 99.371 101.592 103.814</span>
<span class="r-out co"><span class="r-pr">#></span> log_k_parent -4.973 -4.449 -3.926</span>
<span class="r-out co"><span class="r-pr">#></span> </span>
<span class="r-out co"><span class="r-pr">#></span> Correlation: </span>
<span class="r-out co"><span class="r-pr">#></span> parnt_0</span>
<span class="r-out co"><span class="r-pr">#></span> log_k_parent 0.0507 </span>
<span class="r-out co"><span class="r-pr">#></span> </span>
<span class="r-out co"><span class="r-pr">#></span> Random effects:</span>
<span class="r-out co"><span class="r-pr">#></span> Formula: list(parent_0 ~ 1, log_k_parent ~ 1)</span>
<span class="r-out co"><span class="r-pr">#></span> Level: ds</span>
<span class="r-out co"><span class="r-pr">#></span> Structure: Diagonal</span>
<span class="r-out co"><span class="r-pr">#></span> parent_0 log_k_parent Residual</span>
<span class="r-out co"><span class="r-pr">#></span> StdDev: 6.92e-05 0.5863 1</span>
<span class="r-out co"><span class="r-pr">#></span> </span>
<span class="r-out co"><span class="r-pr">#></span> Variance function:</span>
<span class="r-out co"><span class="r-pr">#></span> Structure: Constant plus proportion of variance covariate</span>
<span class="r-out co"><span class="r-pr">#></span> Formula: ~fitted(.) </span>
<span class="r-out co"><span class="r-pr">#></span> Parameter estimates:</span>
<span class="r-out co"><span class="r-pr">#></span> const prop </span>
<span class="r-out co"><span class="r-pr">#></span> 0.0001208154 0.0789968021 </span>
<span class="r-out co"><span class="r-pr">#></span> </span>
<span class="r-out co"><span class="r-pr">#></span> Backtransformed parameters with asymmetric confidence intervals:</span>
<span class="r-out co"><span class="r-pr">#></span> lower est. upper</span>
<span class="r-out co"><span class="r-pr">#></span> parent_0 99.370882 101.59243 103.81398</span>
<span class="r-out co"><span class="r-pr">#></span> k_parent 0.006923 0.01168 0.01972</span>
<span class="r-out co"><span class="r-pr">#></span> </span>
<span class="r-out co"><span class="r-pr">#></span> Estimated disappearance times:</span>
<span class="r-out co"><span class="r-pr">#></span> DT50 DT90</span>
<span class="r-out co"><span class="r-pr">#></span> parent 59.32 197.1</span>
<span class="r-out co"><span class="r-pr">#></span> </span>
<span class="r-out co"><span class="r-pr">#></span> Data:</span>
<span class="r-out co"><span class="r-pr">#></span> ds name time observed predicted residual std standardized</span>
<span class="r-out co"><span class="r-pr">#></span> ds 1 parent 0 104.1 101.592 2.50757 8.0255 0.312451</span>
<span class="r-out co"><span class="r-pr">#></span> ds 1 parent 0 105.0 101.592 3.40757 8.0255 0.424594</span>
<span class="r-out co"><span class="r-pr">#></span> ds 1 parent 1 98.5 100.796 -2.29571 7.9625 -0.288313</span>
<span class="r-out co"><span class="r-pr">#></span> ds 1 parent 1 96.1 100.796 -4.69571 7.9625 -0.589725</span>
<span class="r-out co"><span class="r-pr">#></span> ds 1 parent 3 101.9 99.221 2.67904 7.8381 0.341796</span>
<span class="r-out co"><span class="r-pr">#></span> ds 1 parent 3 85.2 99.221 -14.02096 7.8381 -1.788812</span>
<span class="r-out co"><span class="r-pr">#></span> ds 1 parent 7 99.1 96.145 2.95512 7.5951 0.389081</span>
<span class="r-out co"><span class="r-pr">#></span> ds 1 parent 7 93.0 96.145 -3.14488 7.5951 -0.414065</span>
<span class="r-out co"><span class="r-pr">#></span> ds 1 parent 14 88.1 90.989 -2.88944 7.1879 -0.401987</span>
<span class="r-out co"><span class="r-pr">#></span> ds 1 parent 14 84.1 90.989 -6.88944 7.1879 -0.958480</span>
<span class="r-out co"><span class="r-pr">#></span> ds 1 parent 28 80.2 81.493 -1.29305 6.4377 -0.200857</span>
<span class="r-out co"><span class="r-pr">#></span> ds 1 parent 28 91.3 81.493 9.80695 6.4377 1.523364</span>
<span class="r-out co"><span class="r-pr">#></span> ds 1 parent 60 65.1 63.344 1.75642 5.0039 0.351008</span>
<span class="r-out co"><span class="r-pr">#></span> ds 1 parent 60 65.8 63.344 2.45642 5.0039 0.490898</span>
<span class="r-out co"><span class="r-pr">#></span> ds 1 parent 90 47.8 50.018 -2.21764 3.9512 -0.561252</span>
<span class="r-out co"><span class="r-pr">#></span> ds 1 parent 90 53.5 50.018 3.48236 3.9512 0.881335</span>
<span class="r-out co"><span class="r-pr">#></span> ds 1 parent 120 37.6 39.495 -1.89515 3.1200 -0.607423</span>
<span class="r-out co"><span class="r-pr">#></span> ds 1 parent 120 39.3 39.495 -0.19515 3.1200 -0.062549</span>
<span class="r-out co"><span class="r-pr">#></span> ds 2 parent 0 107.9 101.592 6.30757 8.0255 0.785943</span>
<span class="r-out co"><span class="r-pr">#></span> ds 2 parent 0 102.1 101.592 0.50757 8.0255 0.063245</span>
<span class="r-out co"><span class="r-pr">#></span> ds 2 parent 1 103.8 100.058 3.74159 7.9043 0.473361</span>
<span class="r-out co"><span class="r-pr">#></span> ds 2 parent 1 108.6 100.058 8.54159 7.9043 1.080626</span>
<span class="r-out co"><span class="r-pr">#></span> ds 2 parent 3 91.0 97.060 -6.05952 7.6674 -0.790297</span>
<span class="r-out co"><span class="r-pr">#></span> ds 2 parent 3 84.9 97.060 -12.15952 7.6674 -1.585874</span>
<span class="r-out co"><span class="r-pr">#></span> ds 2 parent 7 79.3 91.329 -12.02867 7.2147 -1.667251</span>
<span class="r-out co"><span class="r-pr">#></span> ds 2 parent 7 100.9 91.329 9.57133 7.2147 1.326647</span>
<span class="r-out co"><span class="r-pr">#></span> ds 2 parent 14 77.3 82.102 -4.80185 6.4858 -0.740366</span>
<span class="r-out co"><span class="r-pr">#></span> ds 2 parent 14 83.5 82.102 1.39815 6.4858 0.215571</span>
<span class="r-out co"><span class="r-pr">#></span> ds 2 parent 28 66.8 66.351 0.44945 5.2415 0.085748</span>
<span class="r-out co"><span class="r-pr">#></span> ds 2 parent 28 63.3 66.351 -3.05055 5.2415 -0.582002</span>
<span class="r-out co"><span class="r-pr">#></span> ds 2 parent 60 40.8 40.775 0.02474 3.2211 0.007679</span>
<span class="r-out co"><span class="r-pr">#></span> ds 2 parent 60 44.8 40.775 4.02474 3.2211 1.249485</span>
<span class="r-out co"><span class="r-pr">#></span> ds 2 parent 90 27.8 25.832 1.96762 2.0407 0.964198</span>
<span class="r-out co"><span class="r-pr">#></span> ds 2 parent 90 27.0 25.832 1.16762 2.0407 0.572171</span>
<span class="r-out co"><span class="r-pr">#></span> ds 2 parent 120 15.2 16.366 -1.16561 1.2928 -0.901595</span>
<span class="r-out co"><span class="r-pr">#></span> ds 2 parent 120 15.5 16.366 -0.86561 1.2928 -0.669547</span>
<span class="r-out co"><span class="r-pr">#></span> ds 3 parent 0 97.7 101.592 -3.89243 8.0255 -0.485009</span>
<span class="r-out co"><span class="r-pr">#></span> ds 3 parent 0 88.2 101.592 -13.39243 8.0255 -1.668739</span>
<span class="r-out co"><span class="r-pr">#></span> ds 3 parent 1 109.9 99.218 10.68196 7.8379 1.362858</span>
<span class="r-out co"><span class="r-pr">#></span> ds 3 parent 1 97.8 99.218 -1.41804 7.8379 -0.180921</span>
<span class="r-out co"><span class="r-pr">#></span> ds 3 parent 3 100.5 94.634 5.86555 7.4758 0.784603</span>
<span class="r-out co"><span class="r-pr">#></span> ds 3 parent 3 77.4 94.634 -17.23445 7.4758 -2.305360</span>
<span class="r-out co"><span class="r-pr">#></span> ds 3 parent 7 78.3 86.093 -7.79273 6.8011 -1.145813</span>
<span class="r-out co"><span class="r-pr">#></span> ds 3 parent 7 90.3 86.093 4.20727 6.8011 0.618620</span>
<span class="r-out co"><span class="r-pr">#></span> ds 3 parent 14 76.0 72.958 3.04222 5.7634 0.527848</span>
<span class="r-out co"><span class="r-pr">#></span> ds 3 parent 14 79.1 72.958 6.14222 5.7634 1.065722</span>
<span class="r-out co"><span class="r-pr">#></span> ds 3 parent 28 46.0 52.394 -6.39404 4.1390 -1.544842</span>
<span class="r-out co"><span class="r-pr">#></span> ds 3 parent 28 53.4 52.394 1.00596 4.1390 0.243046</span>
<span class="r-out co"><span class="r-pr">#></span> ds 3 parent 60 25.1 24.582 0.51786 1.9419 0.266676</span>
<span class="r-out co"><span class="r-pr">#></span> ds 3 parent 60 21.4 24.582 -3.18214 1.9419 -1.638664</span>
<span class="r-out co"><span class="r-pr">#></span> ds 3 parent 90 11.0 12.092 -1.09202 0.9552 -1.143199</span>
<span class="r-out co"><span class="r-pr">#></span> ds 3 parent 90 14.2 12.092 2.10798 0.9552 2.206776</span>
<span class="r-out co"><span class="r-pr">#></span> ds 3 parent 120 5.8 5.948 -0.14810 0.4699 -0.315178</span>
<span class="r-out co"><span class="r-pr">#></span> ds 3 parent 120 6.1 5.948 0.15190 0.4699 0.323282</span>
<span class="r-out co"><span class="r-pr">#></span> ds 4 parent 0 95.3 101.592 -6.29243 8.0255 -0.784057</span>
<span class="r-out co"><span class="r-pr">#></span> ds 4 parent 0 102.0 101.592 0.40757 8.0255 0.050784</span>
<span class="r-out co"><span class="r-pr">#></span> ds 4 parent 1 104.4 101.125 3.27549 7.9885 0.410025</span>
<span class="r-out co"><span class="r-pr">#></span> ds 4 parent 1 105.4 101.125 4.27549 7.9885 0.535205</span>
<span class="r-out co"><span class="r-pr">#></span> ds 4 parent 3 113.7 100.195 13.50487 7.9151 1.706218</span>
<span class="r-out co"><span class="r-pr">#></span> ds 4 parent 3 82.3 100.195 -17.89513 7.9151 -2.260886</span>
<span class="r-out co"><span class="r-pr">#></span> ds 4 parent 7 98.1 98.362 -0.26190 7.7703 -0.033706</span>
<span class="r-out co"><span class="r-pr">#></span> ds 4 parent 7 87.8 98.362 -10.56190 7.7703 -1.359270</span>
<span class="r-out co"><span class="r-pr">#></span> ds 4 parent 14 97.9 95.234 2.66590 7.5232 0.354357</span>
<span class="r-out co"><span class="r-pr">#></span> ds 4 parent 14 104.8 95.234 9.56590 7.5232 1.271521</span>
<span class="r-out co"><span class="r-pr">#></span> ds 4 parent 28 85.0 89.274 -4.27372 7.0523 -0.606001</span>
<span class="r-out co"><span class="r-pr">#></span> ds 4 parent 28 77.2 89.274 -12.07372 7.0523 -1.712017</span>
<span class="r-out co"><span class="r-pr">#></span> ds 4 parent 60 82.2 77.013 5.18660 6.0838 0.852526</span>
<span class="r-out co"><span class="r-pr">#></span> ds 4 parent 60 86.1 77.013 9.08660 6.0838 1.493571</span>
<span class="r-out co"><span class="r-pr">#></span> ds 4 parent 90 70.5 67.053 3.44692 5.2970 0.650733</span>
<span class="r-out co"><span class="r-pr">#></span> ds 4 parent 90 61.7 67.053 -5.35308 5.2970 -1.010591</span>
<span class="r-out co"><span class="r-pr">#></span> ds 4 parent 120 60.0 58.381 1.61905 4.6119 0.351058</span>
<span class="r-out co"><span class="r-pr">#></span> ds 4 parent 120 56.4 58.381 -1.98095 4.6119 -0.429530</span>
<span class="r-out co"><span class="r-pr">#></span> ds 5 parent 0 92.6 101.592 -8.99243 8.0255 -1.120485</span>
<span class="r-out co"><span class="r-pr">#></span> ds 5 parent 0 116.5 101.592 14.90757 8.0255 1.857531</span>
<span class="r-out co"><span class="r-pr">#></span> ds 5 parent 1 108.0 99.914 8.08560 7.8929 1.024413</span>
<span class="r-out co"><span class="r-pr">#></span> ds 5 parent 1 104.9 99.914 4.98560 7.8929 0.631655</span>
<span class="r-out co"><span class="r-pr">#></span> ds 5 parent 3 100.5 96.641 3.85898 7.6343 0.505477</span>
<span class="r-out co"><span class="r-pr">#></span> ds 5 parent 3 89.5 96.641 -7.14102 7.6343 -0.935383</span>
<span class="r-out co"><span class="r-pr">#></span> ds 5 parent 7 91.7 90.412 1.28752 7.1423 0.180267</span>
<span class="r-out co"><span class="r-pr">#></span> ds 5 parent 7 95.1 90.412 4.68752 7.1423 0.656304</span>
<span class="r-out co"><span class="r-pr">#></span> ds 5 parent 14 82.2 80.463 1.73715 6.3563 0.273295</span>
<span class="r-out co"><span class="r-pr">#></span> ds 5 parent 14 84.5 80.463 4.03715 6.3563 0.635141</span>
<span class="r-out co"><span class="r-pr">#></span> ds 5 parent 28 60.5 63.728 -3.22788 5.0343 -0.641178</span>
<span class="r-out co"><span class="r-pr">#></span> ds 5 parent 28 72.8 63.728 9.07212 5.0343 1.802062</span>
<span class="r-out co"><span class="r-pr">#></span> ds 5 parent 60 38.3 37.399 0.90061 2.9544 0.304835</span>
<span class="r-out co"><span class="r-pr">#></span> ds 5 parent 60 40.7 37.399 3.30061 2.9544 1.117174</span>
<span class="r-out co"><span class="r-pr">#></span> ds 5 parent 90 22.5 22.692 -0.19165 1.7926 -0.106913</span>
<span class="r-out co"><span class="r-pr">#></span> ds 5 parent 90 20.8 22.692 -1.89165 1.7926 -1.055273</span>
<span class="r-out co"><span class="r-pr">#></span> ds 5 parent 120 13.4 13.768 -0.36790 1.0876 -0.338259</span>
<span class="r-out co"><span class="r-pr">#></span> ds 5 parent 120 13.8 13.768 0.03210 1.0876 0.029517</span>
<span class="r-in"><span><span class="co"># }</span></span></span>
<span class="r-in"><span></span></span>
</code></pre></div>
</div>
</div>
<div class="col-md-3 hidden-xs hidden-sm" id="pkgdown-sidebar">
<nav id="toc" data-toggle="toc" class="sticky-top"><h2 data-toc-skip>Contents</h2>
</nav></div>
</div>
<footer><div class="copyright">
<p></p><p>Developed by Johannes Ranke.</p>
</div>
<div class="pkgdown">
<p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.7.</p>
</div>
</footer></div>
</body></html>
|
