Generate type 1, 2 or 3 functional response
func_form(R, mu, Ks = 1, phi = 0, type3 = 1/2, eff = 1, mort = 0)Vector of resource concentrations.
Maximum growth rate
Half saturation constant; 1 if linear (default).
Dummy variable for nonlinear (type I or II) functional responses; 0 if linear (default), 1 otherwise.
1 if type 3, 1/2 otherwise (default)
Resource efficiency (under quota parameterisation ignored / set to 1)
Mortality rate. Set to zero if madj = FALSE (default) in
plot_funcresp().
Vector
# Linear (type I) functional response.
func_form(R = seq(0, 1, length.out = 1000),
mu = 1,
Ks = 1,
phi = 0,
type3 = 1/2)
#> [1] 0.000000000 0.001001001 0.002002002 0.003003003 0.004004004 0.005005005
#> [7] 0.006006006 0.007007007 0.008008008 0.009009009 0.010010010 0.011011011
#> [13] 0.012012012 0.013013013 0.014014014 0.015015015 0.016016016 0.017017017
#> [19] 0.018018018 0.019019019 0.020020020 0.021021021 0.022022022 0.023023023
#> [25] 0.024024024 0.025025025 0.026026026 0.027027027 0.028028028 0.029029029
#> [31] 0.030030030 0.031031031 0.032032032 0.033033033 0.034034034 0.035035035
#> [37] 0.036036036 0.037037037 0.038038038 0.039039039 0.040040040 0.041041041
#> [43] 0.042042042 0.043043043 0.044044044 0.045045045 0.046046046 0.047047047
#> [49] 0.048048048 0.049049049 0.050050050 0.051051051 0.052052052 0.053053053
#> [55] 0.054054054 0.055055055 0.056056056 0.057057057 0.058058058 0.059059059
#> [61] 0.060060060 0.061061061 0.062062062 0.063063063 0.064064064 0.065065065
#> [67] 0.066066066 0.067067067 0.068068068 0.069069069 0.070070070 0.071071071
#> [73] 0.072072072 0.073073073 0.074074074 0.075075075 0.076076076 0.077077077
#> [79] 0.078078078 0.079079079 0.080080080 0.081081081 0.082082082 0.083083083
#> [85] 0.084084084 0.085085085 0.086086086 0.087087087 0.088088088 0.089089089
#> [91] 0.090090090 0.091091091 0.092092092 0.093093093 0.094094094 0.095095095
#> [97] 0.096096096 0.097097097 0.098098098 0.099099099 0.100100100 0.101101101
#> [103] 0.102102102 0.103103103 0.104104104 0.105105105 0.106106106 0.107107107
#> [109] 0.108108108 0.109109109 0.110110110 0.111111111 0.112112112 0.113113113
#> [115] 0.114114114 0.115115115 0.116116116 0.117117117 0.118118118 0.119119119
#> [121] 0.120120120 0.121121121 0.122122122 0.123123123 0.124124124 0.125125125
#> [127] 0.126126126 0.127127127 0.128128128 0.129129129 0.130130130 0.131131131
#> [133] 0.132132132 0.133133133 0.134134134 0.135135135 0.136136136 0.137137137
#> [139] 0.138138138 0.139139139 0.140140140 0.141141141 0.142142142 0.143143143
#> [145] 0.144144144 0.145145145 0.146146146 0.147147147 0.148148148 0.149149149
#> [151] 0.150150150 0.151151151 0.152152152 0.153153153 0.154154154 0.155155155
#> [157] 0.156156156 0.157157157 0.158158158 0.159159159 0.160160160 0.161161161
#> [163] 0.162162162 0.163163163 0.164164164 0.165165165 0.166166166 0.167167167
#> [169] 0.168168168 0.169169169 0.170170170 0.171171171 0.172172172 0.173173173
#> [175] 0.174174174 0.175175175 0.176176176 0.177177177 0.178178178 0.179179179
#> [181] 0.180180180 0.181181181 0.182182182 0.183183183 0.184184184 0.185185185
#> [187] 0.186186186 0.187187187 0.188188188 0.189189189 0.190190190 0.191191191
#> [193] 0.192192192 0.193193193 0.194194194 0.195195195 0.196196196 0.197197197
#> [199] 0.198198198 0.199199199 0.200200200 0.201201201 0.202202202 0.203203203
#> [205] 0.204204204 0.205205205 0.206206206 0.207207207 0.208208208 0.209209209
#> [211] 0.210210210 0.211211211 0.212212212 0.213213213 0.214214214 0.215215215
#> [217] 0.216216216 0.217217217 0.218218218 0.219219219 0.220220220 0.221221221
#> [223] 0.222222222 0.223223223 0.224224224 0.225225225 0.226226226 0.227227227
#> [229] 0.228228228 0.229229229 0.230230230 0.231231231 0.232232232 0.233233233
#> [235] 0.234234234 0.235235235 0.236236236 0.237237237 0.238238238 0.239239239
#> [241] 0.240240240 0.241241241 0.242242242 0.243243243 0.244244244 0.245245245
#> [247] 0.246246246 0.247247247 0.248248248 0.249249249 0.250250250 0.251251251
#> [253] 0.252252252 0.253253253 0.254254254 0.255255255 0.256256256 0.257257257
#> [259] 0.258258258 0.259259259 0.260260260 0.261261261 0.262262262 0.263263263
#> [265] 0.264264264 0.265265265 0.266266266 0.267267267 0.268268268 0.269269269
#> [271] 0.270270270 0.271271271 0.272272272 0.273273273 0.274274274 0.275275275
#> [277] 0.276276276 0.277277277 0.278278278 0.279279279 0.280280280 0.281281281
#> [283] 0.282282282 0.283283283 0.284284284 0.285285285 0.286286286 0.287287287
#> [289] 0.288288288 0.289289289 0.290290290 0.291291291 0.292292292 0.293293293
#> [295] 0.294294294 0.295295295 0.296296296 0.297297297 0.298298298 0.299299299
#> [301] 0.300300300 0.301301301 0.302302302 0.303303303 0.304304304 0.305305305
#> [307] 0.306306306 0.307307307 0.308308308 0.309309309 0.310310310 0.311311311
#> [313] 0.312312312 0.313313313 0.314314314 0.315315315 0.316316316 0.317317317
#> [319] 0.318318318 0.319319319 0.320320320 0.321321321 0.322322322 0.323323323
#> [325] 0.324324324 0.325325325 0.326326326 0.327327327 0.328328328 0.329329329
#> [331] 0.330330330 0.331331331 0.332332332 0.333333333 0.334334334 0.335335335
#> [337] 0.336336336 0.337337337 0.338338338 0.339339339 0.340340340 0.341341341
#> [343] 0.342342342 0.343343343 0.344344344 0.345345345 0.346346346 0.347347347
#> [349] 0.348348348 0.349349349 0.350350350 0.351351351 0.352352352 0.353353353
#> [355] 0.354354354 0.355355355 0.356356356 0.357357357 0.358358358 0.359359359
#> [361] 0.360360360 0.361361361 0.362362362 0.363363363 0.364364364 0.365365365
#> [367] 0.366366366 0.367367367 0.368368368 0.369369369 0.370370370 0.371371371
#> [373] 0.372372372 0.373373373 0.374374374 0.375375375 0.376376376 0.377377377
#> [379] 0.378378378 0.379379379 0.380380380 0.381381381 0.382382382 0.383383383
#> [385] 0.384384384 0.385385385 0.386386386 0.387387387 0.388388388 0.389389389
#> [391] 0.390390390 0.391391391 0.392392392 0.393393393 0.394394394 0.395395395
#> [397] 0.396396396 0.397397397 0.398398398 0.399399399 0.400400400 0.401401401
#> [403] 0.402402402 0.403403403 0.404404404 0.405405405 0.406406406 0.407407407
#> [409] 0.408408408 0.409409409 0.410410410 0.411411411 0.412412412 0.413413413
#> [415] 0.414414414 0.415415415 0.416416416 0.417417417 0.418418418 0.419419419
#> [421] 0.420420420 0.421421421 0.422422422 0.423423423 0.424424424 0.425425425
#> [427] 0.426426426 0.427427427 0.428428428 0.429429429 0.430430430 0.431431431
#> [433] 0.432432432 0.433433433 0.434434434 0.435435435 0.436436436 0.437437437
#> [439] 0.438438438 0.439439439 0.440440440 0.441441441 0.442442442 0.443443443
#> [445] 0.444444444 0.445445445 0.446446446 0.447447447 0.448448448 0.449449449
#> [451] 0.450450450 0.451451451 0.452452452 0.453453453 0.454454454 0.455455455
#> [457] 0.456456456 0.457457457 0.458458458 0.459459459 0.460460460 0.461461461
#> [463] 0.462462462 0.463463463 0.464464464 0.465465465 0.466466466 0.467467467
#> [469] 0.468468468 0.469469469 0.470470470 0.471471471 0.472472472 0.473473473
#> [475] 0.474474474 0.475475475 0.476476476 0.477477477 0.478478478 0.479479479
#> [481] 0.480480480 0.481481481 0.482482482 0.483483483 0.484484484 0.485485485
#> [487] 0.486486486 0.487487487 0.488488488 0.489489489 0.490490490 0.491491491
#> [493] 0.492492492 0.493493493 0.494494494 0.495495495 0.496496496 0.497497497
#> [499] 0.498498498 0.499499499 0.500500501 0.501501502 0.502502503 0.503503504
#> [505] 0.504504505 0.505505506 0.506506507 0.507507508 0.508508509 0.509509510
#> [511] 0.510510511 0.511511512 0.512512513 0.513513514 0.514514515 0.515515516
#> [517] 0.516516517 0.517517518 0.518518519 0.519519520 0.520520521 0.521521522
#> [523] 0.522522523 0.523523524 0.524524525 0.525525526 0.526526527 0.527527528
#> [529] 0.528528529 0.529529530 0.530530531 0.531531532 0.532532533 0.533533534
#> [535] 0.534534535 0.535535536 0.536536537 0.537537538 0.538538539 0.539539540
#> [541] 0.540540541 0.541541542 0.542542543 0.543543544 0.544544545 0.545545546
#> [547] 0.546546547 0.547547548 0.548548549 0.549549550 0.550550551 0.551551552
#> [553] 0.552552553 0.553553554 0.554554555 0.555555556 0.556556557 0.557557558
#> [559] 0.558558559 0.559559560 0.560560561 0.561561562 0.562562563 0.563563564
#> [565] 0.564564565 0.565565566 0.566566567 0.567567568 0.568568569 0.569569570
#> [571] 0.570570571 0.571571572 0.572572573 0.573573574 0.574574575 0.575575576
#> [577] 0.576576577 0.577577578 0.578578579 0.579579580 0.580580581 0.581581582
#> [583] 0.582582583 0.583583584 0.584584585 0.585585586 0.586586587 0.587587588
#> [589] 0.588588589 0.589589590 0.590590591 0.591591592 0.592592593 0.593593594
#> [595] 0.594594595 0.595595596 0.596596597 0.597597598 0.598598599 0.599599600
#> [601] 0.600600601 0.601601602 0.602602603 0.603603604 0.604604605 0.605605606
#> [607] 0.606606607 0.607607608 0.608608609 0.609609610 0.610610611 0.611611612
#> [613] 0.612612613 0.613613614 0.614614615 0.615615616 0.616616617 0.617617618
#> [619] 0.618618619 0.619619620 0.620620621 0.621621622 0.622622623 0.623623624
#> [625] 0.624624625 0.625625626 0.626626627 0.627627628 0.628628629 0.629629630
#> [631] 0.630630631 0.631631632 0.632632633 0.633633634 0.634634635 0.635635636
#> [637] 0.636636637 0.637637638 0.638638639 0.639639640 0.640640641 0.641641642
#> [643] 0.642642643 0.643643644 0.644644645 0.645645646 0.646646647 0.647647648
#> [649] 0.648648649 0.649649650 0.650650651 0.651651652 0.652652653 0.653653654
#> [655] 0.654654655 0.655655656 0.656656657 0.657657658 0.658658659 0.659659660
#> [661] 0.660660661 0.661661662 0.662662663 0.663663664 0.664664665 0.665665666
#> [667] 0.666666667 0.667667668 0.668668669 0.669669670 0.670670671 0.671671672
#> [673] 0.672672673 0.673673674 0.674674675 0.675675676 0.676676677 0.677677678
#> [679] 0.678678679 0.679679680 0.680680681 0.681681682 0.682682683 0.683683684
#> [685] 0.684684685 0.685685686 0.686686687 0.687687688 0.688688689 0.689689690
#> [691] 0.690690691 0.691691692 0.692692693 0.693693694 0.694694695 0.695695696
#> [697] 0.696696697 0.697697698 0.698698699 0.699699700 0.700700701 0.701701702
#> [703] 0.702702703 0.703703704 0.704704705 0.705705706 0.706706707 0.707707708
#> [709] 0.708708709 0.709709710 0.710710711 0.711711712 0.712712713 0.713713714
#> [715] 0.714714715 0.715715716 0.716716717 0.717717718 0.718718719 0.719719720
#> [721] 0.720720721 0.721721722 0.722722723 0.723723724 0.724724725 0.725725726
#> [727] 0.726726727 0.727727728 0.728728729 0.729729730 0.730730731 0.731731732
#> [733] 0.732732733 0.733733734 0.734734735 0.735735736 0.736736737 0.737737738
#> [739] 0.738738739 0.739739740 0.740740741 0.741741742 0.742742743 0.743743744
#> [745] 0.744744745 0.745745746 0.746746747 0.747747748 0.748748749 0.749749750
#> [751] 0.750750751 0.751751752 0.752752753 0.753753754 0.754754755 0.755755756
#> [757] 0.756756757 0.757757758 0.758758759 0.759759760 0.760760761 0.761761762
#> [763] 0.762762763 0.763763764 0.764764765 0.765765766 0.766766767 0.767767768
#> [769] 0.768768769 0.769769770 0.770770771 0.771771772 0.772772773 0.773773774
#> [775] 0.774774775 0.775775776 0.776776777 0.777777778 0.778778779 0.779779780
#> [781] 0.780780781 0.781781782 0.782782783 0.783783784 0.784784785 0.785785786
#> [787] 0.786786787 0.787787788 0.788788789 0.789789790 0.790790791 0.791791792
#> [793] 0.792792793 0.793793794 0.794794795 0.795795796 0.796796797 0.797797798
#> [799] 0.798798799 0.799799800 0.800800801 0.801801802 0.802802803 0.803803804
#> [805] 0.804804805 0.805805806 0.806806807 0.807807808 0.808808809 0.809809810
#> [811] 0.810810811 0.811811812 0.812812813 0.813813814 0.814814815 0.815815816
#> [817] 0.816816817 0.817817818 0.818818819 0.819819820 0.820820821 0.821821822
#> [823] 0.822822823 0.823823824 0.824824825 0.825825826 0.826826827 0.827827828
#> [829] 0.828828829 0.829829830 0.830830831 0.831831832 0.832832833 0.833833834
#> [835] 0.834834835 0.835835836 0.836836837 0.837837838 0.838838839 0.839839840
#> [841] 0.840840841 0.841841842 0.842842843 0.843843844 0.844844845 0.845845846
#> [847] 0.846846847 0.847847848 0.848848849 0.849849850 0.850850851 0.851851852
#> [853] 0.852852853 0.853853854 0.854854855 0.855855856 0.856856857 0.857857858
#> [859] 0.858858859 0.859859860 0.860860861 0.861861862 0.862862863 0.863863864
#> [865] 0.864864865 0.865865866 0.866866867 0.867867868 0.868868869 0.869869870
#> [871] 0.870870871 0.871871872 0.872872873 0.873873874 0.874874875 0.875875876
#> [877] 0.876876877 0.877877878 0.878878879 0.879879880 0.880880881 0.881881882
#> [883] 0.882882883 0.883883884 0.884884885 0.885885886 0.886886887 0.887887888
#> [889] 0.888888889 0.889889890 0.890890891 0.891891892 0.892892893 0.893893894
#> [895] 0.894894895 0.895895896 0.896896897 0.897897898 0.898898899 0.899899900
#> [901] 0.900900901 0.901901902 0.902902903 0.903903904 0.904904905 0.905905906
#> [907] 0.906906907 0.907907908 0.908908909 0.909909910 0.910910911 0.911911912
#> [913] 0.912912913 0.913913914 0.914914915 0.915915916 0.916916917 0.917917918
#> [919] 0.918918919 0.919919920 0.920920921 0.921921922 0.922922923 0.923923924
#> [925] 0.924924925 0.925925926 0.926926927 0.927927928 0.928928929 0.929929930
#> [931] 0.930930931 0.931931932 0.932932933 0.933933934 0.934934935 0.935935936
#> [937] 0.936936937 0.937937938 0.938938939 0.939939940 0.940940941 0.941941942
#> [943] 0.942942943 0.943943944 0.944944945 0.945945946 0.946946947 0.947947948
#> [949] 0.948948949 0.949949950 0.950950951 0.951951952 0.952952953 0.953953954
#> [955] 0.954954955 0.955955956 0.956956957 0.957957958 0.958958959 0.959959960
#> [961] 0.960960961 0.961961962 0.962962963 0.963963964 0.964964965 0.965965966
#> [967] 0.966966967 0.967967968 0.968968969 0.969969970 0.970970971 0.971971972
#> [973] 0.972972973 0.973973974 0.974974975 0.975975976 0.976976977 0.977977978
#> [979] 0.978978979 0.979979980 0.980980981 0.981981982 0.982982983 0.983983984
#> [985] 0.984984985 0.985985986 0.986986987 0.987987988 0.988988989 0.989989990
#> [991] 0.990990991 0.991991992 0.992992993 0.993993994 0.994994995 0.995995996
#> [997] 0.996996997 0.997997998 0.998998999 1.000000000
# Saturating (type II, aka Monod) functional response.
func_form(R = seq(0, 1, length.out = 1000),
mu = 1,
Ks = 0.1,
phi = 1,
type3 = 1/2)
#> [1] 0.000000000 0.009910803 0.019627085 0.029154519 0.038498556 0.047664442
#> [7] 0.056657224 0.065481759 0.074142725 0.082644628 0.090991811 0.099188458
#> [13] 0.107238606 0.115146147 0.122914838 0.130548303 0.138050043 0.145423439
#> [19] 0.152671756 0.159798150 0.166805671 0.173697270 0.180475800 0.187144020
#> [25] 0.193704600 0.200160128 0.206513106 0.212765957 0.218921032 0.224980605
#> [31] 0.230946882 0.236822002 0.242608036 0.248306998 0.253920836 0.259451446
#> [37] 0.264900662 0.270270270 0.275562001 0.280777538 0.285918513 0.290986515
#> [43] 0.295983087 0.300909727 0.305767894 0.310559006 0.315284441 0.319945541
#> [49] 0.324543611 0.329079919 0.333555704 0.337972167 0.342330481 0.346631785
#> [55] 0.350877193 0.355067786 0.359204618 0.363288719 0.367321089 0.371302706
#> [61] 0.375234522 0.379117464 0.382952440 0.386740331 0.390482001 0.394178290
#> [67] 0.397830018 0.401437987 0.405002978 0.408525755 0.412007063 0.415447630
#> [73] 0.418848168 0.422209370 0.425531915 0.428816467 0.432063673 0.435274166
#> [79] 0.438448567 0.441587479 0.444691495 0.447761194 0.450797141 0.453799891
#> [85] 0.456769984 0.459707950 0.462614309 0.465489567 0.468334220 0.471148756
#> [91] 0.473933649 0.476689366 0.479416363 0.482115086 0.484785972 0.487429451
#> [97] 0.490045942 0.492635856 0.495199596 0.497737557 0.500250125 0.502737680
#> [103] 0.505200594 0.507639231 0.510053948 0.512445095 0.514813016 0.517158047
#> [109] 0.519480519 0.521780756 0.524059076 0.526315789 0.528551203 0.530765618
#> [115] 0.532959327 0.535132620 0.537285780 0.539419087 0.541532813 0.543627227
#> [121] 0.545702592 0.547759167 0.549797206 0.551816958 0.553818669 0.555802579
#> [127] 0.557768924 0.559717937 0.561649846 0.563564875 0.565463245 0.567345171
#> [133] 0.569210867 0.571060541 0.572894399 0.574712644 0.576515473 0.578303081
#> [139] 0.580075662 0.581833403 0.583576490 0.585305106 0.587019430 0.588719638
#> [145] 0.590405904 0.592078399 0.593737292 0.595382746 0.597014925 0.598633990
#> [151] 0.600240096 0.601833400 0.603414053 0.604982206 0.606538007 0.608081601
#> [157] 0.609613130 0.611132736 0.612640558 0.614136732 0.615621393 0.617094672
#> [163] 0.618556701 0.620007607 0.621447518 0.622876557 0.624294848 0.625702510
#> [169] 0.627099664 0.628486426 0.629862912 0.631229236 0.632585509 0.633931843
#> [175] 0.635268346 0.636595126 0.637912287 0.639219935 0.640518172 0.641807099
#> [181] 0.643086817 0.644357423 0.645619014 0.646871686 0.648115534 0.649350649
#> [187] 0.650577125 0.651795051 0.653004515 0.654205607 0.655398413 0.656583018
#> [193] 0.657759507 0.658927962 0.660088465 0.661241099 0.662385941 0.663523072
#> [199] 0.664652568 0.665774507 0.666888963 0.667996012 0.669095727 0.670188181
#> [205] 0.671273445 0.672351591 0.673422687 0.674486804 0.675544008 0.676594367
#> [211] 0.677637948 0.678674815 0.679705034 0.680728667 0.681745779 0.682756431
#> [217] 0.683760684 0.684758599 0.685750236 0.686735654 0.687714911 0.688688065
#> [223] 0.689655172 0.690616290 0.691571473 0.692520776 0.693464253 0.694401958
#> [229] 0.695333943 0.696260261 0.697180964 0.698096102 0.699005725 0.699909883
#> [235] 0.700808625 0.701702001 0.702590057 0.703472841 0.704350400 0.705222780
#> [241] 0.706090026 0.706952185 0.707809301 0.708661417 0.709508578 0.710350826
#> [247] 0.711188205 0.712020755 0.712848520 0.713671539 0.714489854 0.715303505
#> [253] 0.716112532 0.716916974 0.717716869 0.718512257 0.719303175 0.720089661
#> [259] 0.720871752 0.721649485 0.722422895 0.723192020 0.723956894 0.724717553
#> [265] 0.725474031 0.726226363 0.726974583 0.727718724 0.728458820 0.729194904
#> [271] 0.729927007 0.730655163 0.731379403 0.732099759 0.732816261 0.733528941
#> [277] 0.734237829 0.734942956 0.735644350 0.736342043 0.737036062 0.737726437
#> [283] 0.738413197 0.739096370 0.739775983 0.740452065 0.741124644 0.741793745
#> [289] 0.742459397 0.743121625 0.743780457 0.744435917 0.745088033 0.745736829
#> [295] 0.746382331 0.747024563 0.747663551 0.748299320 0.748931892 0.749561294
#> [301] 0.750187547 0.750810676 0.751430704 0.752047655 0.752661550 0.753272413
#> [307] 0.753880266 0.754485131 0.755087031 0.755685987 0.756282020 0.756875152
#> [313] 0.757465404 0.758052797 0.758637352 0.759219089 0.759798028 0.760374190
#> [319] 0.760947595 0.761518262 0.762086211 0.762651461 0.763214032 0.763773942
#> [325] 0.764331210 0.764885855 0.765437896 0.765987351 0.766534237 0.767078573
#> [331] 0.767620377 0.768159666 0.768696458 0.769230769 0.769762618 0.770292021
#> [337] 0.770818995 0.771343557 0.771865723 0.772385509 0.772902932 0.773418009
#> [343] 0.773930754 0.774441183 0.774949313 0.775455158 0.775958735 0.776460058
#> [349] 0.776959143 0.777456004 0.777950656 0.778443114 0.778933392 0.779421506
#> [355] 0.779907469 0.780391295 0.780872998 0.781352594 0.781830094 0.782305513
#> [361] 0.782778865 0.783250163 0.783719420 0.784186649 0.784651865 0.785115079
#> [367] 0.785576304 0.786035554 0.786492840 0.786948177 0.787401575 0.787853047
#> [373] 0.788302606 0.788750264 0.789196033 0.789639924 0.790081950 0.790522122
#> [379] 0.790960452 0.791396951 0.791831632 0.792264504 0.792695580 0.793124871
#> [385] 0.793552387 0.793978140 0.794402140 0.794824399 0.795244927 0.795663735
#> [391] 0.796080833 0.796496231 0.796909941 0.797321972 0.797732334 0.798141039
#> [397] 0.798548094 0.798953512 0.799357301 0.799759471 0.800160032 0.800558994
#> [403] 0.800956366 0.801352157 0.801746378 0.802139037 0.802530144 0.802919708
#> [409] 0.803307738 0.803694242 0.804079231 0.804462713 0.804844696 0.805225190
#> [415] 0.805604203 0.805981744 0.806357821 0.806732443 0.807105619 0.807477356
#> [421] 0.807847663 0.808216548 0.808584020 0.808950086 0.809314755 0.809678034
#> [427] 0.810039932 0.810400455 0.810759614 0.811117413 0.811473863 0.811828970
#> [433] 0.812182741 0.812535185 0.812886308 0.813236119 0.813584624 0.813931831
#> [439] 0.814277747 0.814622379 0.814965734 0.815307820 0.815648644 0.815988211
#> [445] 0.816326531 0.816663608 0.816999450 0.817334065 0.817667458 0.817999636
#> [451] 0.818330606 0.818660374 0.818988947 0.819316332 0.819642535 0.819967562
#> [457] 0.820291419 0.820614114 0.820935652 0.821256039 0.821575281 0.821893386
#> [463] 0.822210358 0.822526204 0.822840929 0.823154541 0.823467044 0.823778444
#> [469] 0.824088748 0.824397961 0.824706089 0.825013137 0.825319112 0.825624018
#> [475] 0.825927862 0.826230649 0.826532384 0.826833073 0.827132722 0.827431335
#> [481] 0.827728919 0.828025478 0.828321017 0.828615543 0.828909060 0.829201573
#> [487] 0.829493088 0.829783609 0.830073142 0.830361691 0.830649263 0.830935861
#> [493] 0.831221490 0.831506156 0.831789864 0.832072617 0.832354422 0.832635282
#> [499] 0.832915203 0.833194189 0.833472245 0.833749376 0.834025586 0.834300879
#> [505] 0.834575261 0.834848735 0.835121307 0.835392981 0.835663760 0.835933651
#> [511] 0.836202656 0.836470781 0.836738029 0.837004405 0.837269914 0.837534558
#> [517] 0.837798344 0.838061274 0.838323353 0.838584586 0.838844975 0.839104526
#> [523] 0.839363242 0.839621127 0.839878186 0.840134422 0.840389839 0.840644441
#> [529] 0.840898232 0.841151216 0.841403397 0.841654779 0.841905365 0.842155159
#> [535] 0.842404165 0.842652386 0.842899827 0.843146491 0.843392381 0.843637502
#> [541] 0.843881857 0.844125449 0.844368282 0.844610359 0.844851685 0.845092262
#> [547] 0.845332095 0.845571186 0.845809539 0.846047157 0.846284044 0.846520203
#> [553] 0.846755637 0.846990351 0.847224346 0.847457627 0.847690197 0.847922058
#> [559] 0.848153215 0.848383670 0.848613426 0.848842488 0.849070857 0.849298537
#> [565] 0.849525531 0.849751842 0.849977474 0.850202429 0.850426711 0.850650321
#> [571] 0.850873265 0.851095543 0.851317160 0.851538119 0.851758421 0.851978071
#> [577] 0.852197071 0.852415423 0.852633132 0.852850199 0.853066627 0.853282420
#> [583] 0.853497580 0.853712110 0.853926013 0.854139290 0.854351946 0.854563983
#> [589] 0.854775403 0.854986210 0.855196405 0.855405992 0.855614973 0.855823351
#> [595] 0.856031128 0.856238308 0.856444892 0.856650882 0.856856283 0.857061096
#> [601] 0.857265324 0.857468968 0.857672033 0.857874520 0.858076431 0.858277770
#> [607] 0.858478538 0.858678738 0.858878373 0.859077444 0.859275954 0.859473906
#> [613] 0.859671302 0.859868144 0.860064435 0.860260176 0.860455371 0.860650021
#> [619] 0.860844129 0.861037696 0.861230726 0.861423221 0.861615182 0.861806612
#> [625] 0.861997513 0.862187888 0.862377738 0.862567066 0.862755873 0.862944162
#> [631] 0.863131936 0.863319196 0.863505943 0.863692182 0.863877913 0.864063138
#> [637] 0.864247860 0.864432080 0.864615802 0.864799026 0.864981754 0.865163990
#> [643] 0.865345734 0.865526989 0.865707756 0.865888039 0.866067838 0.866247155
#> [649] 0.866425993 0.866604353 0.866782238 0.866959648 0.867136587 0.867313056
#> [655] 0.867489057 0.867664591 0.867839661 0.868014269 0.868188415 0.868362103
#> [661] 0.868535334 0.868708109 0.868880431 0.869052300 0.869223720 0.869394692
#> [667] 0.869565217 0.869735298 0.869904936 0.870074132 0.870242889 0.870411208
#> [673] 0.870579091 0.870746539 0.870913555 0.871080139 0.871246295 0.871412022
#> [679] 0.871577324 0.871742201 0.871906655 0.872070688 0.872234301 0.872397496
#> [685] 0.872560276 0.872722640 0.872884591 0.873046130 0.873207260 0.873367981
#> [691] 0.873528295 0.873688203 0.873847708 0.874006810 0.874165512 0.874323814
#> [697] 0.874481719 0.874639227 0.874796340 0.874953060 0.875109389 0.875265327
#> [703] 0.875420875 0.875576037 0.875730812 0.875885203 0.876039211 0.876192837
#> [709] 0.876346082 0.876498949 0.876651438 0.876803552 0.876955290 0.877106655
#> [715] 0.877257648 0.877408271 0.877558524 0.877708410 0.877857929 0.878007083
#> [721] 0.878155873 0.878304300 0.878452366 0.878600073 0.878747421 0.878894411
#> [727] 0.879041046 0.879187326 0.879333253 0.879478827 0.879624051 0.879768925
#> [733] 0.879913451 0.880057630 0.880201463 0.880344951 0.880488097 0.880630900
#> [739] 0.880773362 0.880915485 0.881057269 0.881198716 0.881339827 0.881480603
#> [745] 0.881621045 0.881761155 0.881900934 0.882040383 0.882179502 0.882318294
#> [751] 0.882456760 0.882594900 0.882732715 0.882870208 0.883007378 0.883144227
#> [757] 0.883280757 0.883416968 0.883552862 0.883688439 0.883823700 0.883958648
#> [763] 0.884093282 0.884227605 0.884361616 0.884495317 0.884628710 0.884761795
#> [769] 0.884894573 0.885027046 0.885159214 0.885291078 0.885422640 0.885553901
#> [775] 0.885684861 0.885815522 0.885945884 0.886075949 0.886205718 0.886335192
#> [781] 0.886464371 0.886593257 0.886721851 0.886850153 0.886978165 0.887105888
#> [787] 0.887233322 0.887360469 0.887487330 0.887613905 0.887740196 0.887866203
#> [793] 0.887991927 0.888117370 0.888242533 0.888367415 0.888492019 0.888616345
#> [799] 0.888740394 0.888864167 0.888987665 0.889110889 0.889233840 0.889356518
#> [805] 0.889478925 0.889601061 0.889722927 0.889844525 0.889965855 0.890086918
#> [811] 0.890207715 0.890328247 0.890448514 0.890568518 0.890688259 0.890807739
#> [817] 0.890926957 0.891045916 0.891164615 0.891283056 0.891401239 0.891519166
#> [823] 0.891636837 0.891754253 0.891871415 0.891988323 0.892104979 0.892221383
#> [829] 0.892337536 0.892453440 0.892569093 0.892684499 0.892799657 0.892914567
#> [835] 0.893029232 0.893143652 0.893257827 0.893371758 0.893485446 0.893598892
#> [841] 0.893712097 0.893825061 0.893937785 0.894050270 0.894162517 0.894274526
#> [847] 0.894386299 0.894497835 0.894609136 0.894720202 0.894831035 0.894941634
#> [853] 0.895052001 0.895162137 0.895272041 0.895381715 0.895491160 0.895600376
#> [859] 0.895709364 0.895818125 0.895926659 0.896034967 0.896143050 0.896250909
#> [865] 0.896358543 0.896465955 0.896573144 0.896680112 0.896786858 0.896893384
#> [871] 0.896999691 0.897105778 0.897211647 0.897317299 0.897422733 0.897527952
#> [877] 0.897632954 0.897737742 0.897842315 0.897946675 0.898050822 0.898154756
#> [883] 0.898258478 0.898361990 0.898465291 0.898568383 0.898671265 0.898773939
#> [889] 0.898876404 0.898978663 0.899080715 0.899182561 0.899284202 0.899385638
#> [895] 0.899486870 0.899587898 0.899688724 0.899789347 0.899889769 0.899989989
#> [901] 0.900090009 0.900189829 0.900289450 0.900388872 0.900488096 0.900587123
#> [907] 0.900685953 0.900784586 0.900883024 0.900981267 0.901079315 0.901177169
#> [913] 0.901274830 0.901372297 0.901469573 0.901566657 0.901663550 0.901760252
#> [919] 0.901856764 0.901953087 0.902049221 0.902145166 0.902240924 0.902336494
#> [925] 0.902431878 0.902527076 0.902622088 0.902716915 0.902811558 0.902906016
#> [931] 0.903000291 0.903094384 0.903188293 0.903282021 0.903375568 0.903468934
#> [937] 0.903562120 0.903655126 0.903747953 0.903840601 0.903933070 0.904025363
#> [943] 0.904117478 0.904209416 0.904301178 0.904392765 0.904484176 0.904575413
#> [949] 0.904666476 0.904757365 0.904848081 0.904938624 0.905028995 0.905119195
#> [955] 0.905209223 0.905299080 0.905388768 0.905478286 0.905567634 0.905656814
#> [961] 0.905745825 0.905834669 0.905923345 0.906011854 0.906100197 0.906188374
#> [967] 0.906276386 0.906364233 0.906451915 0.906539433 0.906626788 0.906713979
#> [973] 0.906801008 0.906887874 0.906974579 0.907061122 0.907147504 0.907233726
#> [979] 0.907319788 0.907405691 0.907491434 0.907577019 0.907662446 0.907747714
#> [985] 0.907832826 0.907917780 0.908002579 0.908087221 0.908171707 0.908256038
#> [991] 0.908340215 0.908424237 0.908508105 0.908591820 0.908675382 0.908758791
#> [997] 0.908842048 0.908925153 0.909008106 0.909090909
# Sigmoidal (type III) functional response.
func_form(R = seq(0, 1, length.out = 1000),
mu = 1,
Ks = 0.1,
phi = 1,
type3 = 1)
#> [1] 0.0000000000 0.0001001903 0.0004006406 0.0009009902 0.0016006387
#> [6] 0.0024987481 0.0035942456 0.0048858262 0.0063719570 0.0080508816
#> [11] 0.0099206251 0.0119790001 0.0142236130 0.0166518705 0.0192609874
#> [16] 0.0220479941 0.0250097450 0.0281429271 0.0314440689 0.0349095495
#> [21] 0.0385356083 0.0423183549 0.0462537784 0.0503377578 0.0545660718
#> [26] 0.0589344093 0.0634383789 0.0680735194 0.0728353095 0.0777191778
#> [31] 0.0827205122 0.0878346697 0.0930569856 0.0983827822 0.1038073780
#> [36] 0.1093260961 0.1149342720 0.1206272618 0.1264004496 0.1322492546
#> [41] 0.1381691380 0.1441556092 0.1502042318 0.1563106295 0.1624704914
#> [46] 0.1686795763 0.1749337178 0.1812288283 0.1875609023 0.1939260206
#> [51] 0.2003203523 0.2067401584 0.2131817935 0.2196417080 0.2261164500
#> [56] 0.2326026662 0.2390971035 0.2455966093 0.2520981324 0.2585987233
#> [61] 0.2650955338 0.2715858174 0.2780669285 0.2845363219 0.2909915523
#> [66] 0.2974302728 0.3038502345 0.3102492845 0.3166253652 0.3229765125
#> [71] 0.3293008540 0.3355966077 0.3418620800 0.3480956639 0.3542958370
#> [76] 0.3604611596 0.3665902725 0.3726818954 0.3787348240 0.3847479288
#> [81] 0.3907201522 0.3966505068 0.4025380732 0.4083819975 0.4141814897
#> [86] 0.4199358210 0.4256443223 0.4313063814 0.4369214416 0.4424889992
#> [91] 0.4480086018 0.4534798459 0.4589023754 0.4642758794 0.4696000906
#> [96] 0.4748747830 0.4800997707 0.4852749057 0.4904000764 0.4954752058
#> [101] 0.5005002500 0.5054751967 0.5104000636 0.5152748967 0.5200997691
#> [106] 0.5248747799 0.5296000520 0.5342757318 0.5389019872 0.5434790067
#> [111] 0.5480069982 0.5524861878 0.5569168190 0.5612991510 0.5656334586
#> [116] 0.5699200302 0.5741591679 0.5783511858 0.5824964096 0.5865951756
#> [121] 0.5906478299 0.5946547278 0.5986162329 0.6025327163 0.6064045566
#> [126] 0.6102321382 0.6140158516 0.6177560926 0.6214532615 0.6251077626
#> [131] 0.6287200042 0.6322903974 0.6358193564 0.6393072972 0.6427546382
#> [136] 0.6461617989 0.6495292002 0.6528572636 0.6561464112 0.6593970652
#> [141] 0.6626096475 0.6657845800 0.6689222834 0.6720231779 0.6750876823
#> [146] 0.6781162141 0.6811091893 0.6840670220 0.6869901245 0.6898789068
#> [151] 0.6927337769 0.6955551400 0.6983433991 0.7010989544 0.7038222033
#> [156] 0.7065135402 0.7091733567 0.7118020411 0.7143999787 0.7169675514
#> [161] 0.7195051379 0.7220131133 0.7244918495 0.7269417147 0.7293630737
#> [166] 0.7317562877 0.7341217141 0.7364597068 0.7387706160 0.7410547881
#> [171] 0.7433125660 0.7455442886 0.7477502912 0.7499309053 0.7520864586
#> [176] 0.7542172752 0.7563236751 0.7584059749 0.7604644872 0.7624995211
#> [181] 0.7645113817 0.7665003705 0.7684667853 0.7704109203 0.7723330659
#> [186] 0.7742335088 0.7761125323 0.7779704158 0.7798074354 0.7816238635
#> [191] 0.7834199689 0.7851960170 0.7869522699 0.7886889859 0.7904064200
#> [196] 0.7921048241 0.7937844463 0.7954455317 0.7970883220 0.7987130557
#> [201] 0.8003199679 0.8019092908 0.8034812533 0.8050360810 0.8065739967
#> [206] 0.8080952201 0.8095999676 0.8110884531 0.8125608871 0.8140174775
#> [211] 0.8154584291 0.8168839440 0.8182942214 0.8196894579 0.8210698471
#> [216] 0.8224355800 0.8237868452 0.8251238282 0.8264467122 0.8277556777
#> [221] 0.8290509029 0.8303325631 0.8316008316 0.8328558789 0.8340978732
#> [226] 0.8353269804 0.8365433640 0.8377471853 0.8389386032 0.8401177744
#> [231] 0.8412848535 0.8424399927 0.8435833422 0.8447150501 0.8458352623
#> [236] 0.8469441229 0.8480417735 0.8491283543 0.8502040030 0.8512688557
#> [241] 0.8523230464 0.8533667073 0.8543999687 0.8554229591 0.8564358052
#> [246] 0.8574386319 0.8584315623 0.8594147179 0.8603882183 0.8613521816
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