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Create animated biplot on samples and variables in a biplot

Usage

moveplot2(
  bp,
  time.var,
  group.var,
  move = TRUE,
  hulls = TRUE,
  scale.var = 5,
  align.time = NA,
  reflect = NA
)

Arguments

bp

biplot object from biplotEZ

time.var

name of the time variable, given as a character string. Must be a factor column of the data supplied to biplot(); the order of its levels gives the order of the time slices and levels without observations are dropped. A numeric (e.g. integer year) or character column stops with an error, see Details.

group.var

name of the group variable, given as a character string. Must be a factor column of the data supplied to biplot().

move

whether to animate (TRUE) or facet (FALSE) samples and variables, according to time.var

hulls

whether to display sample points or convex hulls. A hull requires at least three non-collinear observations per group per level of time.var; groups with fewer are displayed as points instead.

scale.var

scaling the vectors representing the variables

align.time

a vector specifying the levels of time.var for which the biplots should be reflected. Default (NA) reflects none.

reflect

a character vector, of the same length as align.time, specifying the reflection to apply at each corresponding time point in align.time. One of "x" to reverse the direction of the x-axis (horizontal flip), "y" to reverse the direction of the y-axis (vertical flip) and "xy" for both. This follows reflect.axis of biplotEZ::reflect(). Default (NA) applies no reflection.

Value

bp

Returns the elements of the biplot object bp from biplotEZ.

plot

An animated or a facet of biplots based on the dynamic frame.

Details

time.var and group.var must both be factors. biplot() treats every numeric column as a variable of the biplot, so a time variable stored as a number (e.g. an integer year) has to be converted with factor() before biplot() is called, not afterwards.

Missing values are handled by biplot(), which removes every row containing an NA in any column (including time.var and group.var) with a warning. The plot is constructed from the remaining rows.

Examples

data(Africa_climate)
bp <- biplot(Africa_climate, scaled = TRUE) |> PCA()
# \donttest{
if(interactive()) {
bp <- bp |> moveplot2(time.var = "Year", group.var = "Region", hulls = TRUE, move = TRUE)}# }

# Extracting measures of fit for PCA
bp <- bp |> moveplot2(time.var = "Year", group.var = "Region", hulls = TRUE, move = FALSE)

bp$quality
#> 
#> 
#> Table: Biplot qualities per time slice
#> 
#> | Time slice | Quality |
#> |:----------:|:-------:|
#> |    1950    |  0.657  |
#> |    1960    |  0.691  |
#> |    1970    |  0.690  |
#> |    1980    |  0.689  |
#> |    1990    |  0.674  |
#> |    2000    |  0.685  |
#> |    2010    |  0.677  |
#> |    2020    |  0.652  |
bp$axis.predictivity
#> 
#> 
#> Table: Axis predictivities per time slice
#> 
#> | Time slice | AccPrec | DailyEva | Temp  | SoilMois | SPI6  | wind  |
#> |:----------:|:-------:|:--------:|:-----:|:--------:|:-----:|:-----:|
#> |    1950    |  0.754  |  0.757   | 0.527 |  0.887   | 0.420 | 0.596 |
#> |    1960    |  0.789  |  0.718   | 0.683 |  0.919   | 0.305 | 0.735 |
#> |    1970    |  0.777  |  0.638   | 0.726 |  0.896   | 0.389 | 0.715 |
#> |    1980    |  0.801  |  0.781   | 0.607 |  0.887   | 0.296 | 0.760 |
#> |    1990    |  0.824  |  0.783   | 0.583 |  0.909   | 0.221 | 0.723 |
#> |    2000    |  0.760  |  0.617   | 0.727 |  0.905   | 0.535 | 0.571 |
#> |    2010    |  0.763  |  0.772   | 0.632 |  0.873   | 0.293 | 0.727 |
#> |    2020    |  0.784  |  0.794   | 0.547 |  0.895   | 0.149 | 0.743 |

# Extracting measures of fit for CVA
bp <- biplot(Africa_climate) |> CVA(classes = Africa_climate$Region)
bp <- bp |> moveplot2(time.var = "Year", group.var = "Region", hulls = TRUE, move = FALSE)

bp$quality
#> 
#> 
#> Table: Biplot qualities per time slice
#> 
#> | Time slice | Quality.canonical.variables | Quality.original.variables |
#> |:----------:|:---------------------------:|:--------------------------:|
#> |    1950    |            0.910            |           0.865            |
#> |    1960    |            0.955            |           0.904            |
#> |    1970    |            0.962            |           0.904            |
#> |    1980    |            0.939            |           0.889            |
#> |    1990    |            0.977            |           0.899            |
#> |    2000    |            0.935            |           0.896            |
#> |    2010    |            0.967            |           0.887            |
#> |    2020    |            0.950            |           0.892            |
bp$axis.predictivity
#> 
#> 
#> Table: Axis predictivities per time slice
#> 
#> | Time slice | AccPrec | DailyEva | Temp  | SoilMois | SPI6  | wind  |
#> |:----------:|:-------:|:--------:|:-----:|:--------:|:-----:|:-----:|
#> |    1950    |  0.760  |  0.952   | 0.084 |  0.947   | 0.248 | 0.930 |
#> |    1960    |  0.859  |  0.990   | 0.131 |  0.992   | 0.343 | 0.912 |
#> |    1970    |  0.838  |  0.992   | 0.116 |  0.997   | 0.486 | 0.917 |
#> |    1980    |  0.804  |  0.993   | 0.093 |  0.995   | 0.284 | 0.920 |
#> |    1990    |  0.823  |  0.992   | 0.150 |  0.992   | 0.260 | 0.907 |
#> |    2000    |  0.841  |  0.993   | 0.131 |  0.995   | 0.093 | 0.895 |
#> |    2010    |  0.823  |  0.994   | 0.154 |  0.992   | 0.331 | 0.884 |
#> |    2020    |  0.827  |  0.993   | 0.130 |  0.994   | 0.055 | 0.914 |
bp$within.class.axis.predictivity
#> 
#> 
#> Table: Class axis predictivities per time slice
#> 
#> | Time slice | AccPrec | DailyEva | Temp  | SoilMois | SPI6  | wind  |
#> |:----------:|:-------:|:--------:|:-----:|:--------:|:-----:|:-----:|
#> |    1950    |  0.042  |  0.746   | 0.003 |  0.317   | 0.061 | 0.145 |
#> |    1960    |  0.042  |  0.713   | 0.004 |  0.285   | 0.027 | 0.095 |
#> |    1970    |  0.041  |  0.751   | 0.005 |  0.327   | 0.012 | 0.154 |
#> |    1980    |  0.047  |  0.674   | 0.004 |  0.397   | 0.024 | 0.147 |
#> |    1990    |  0.042  |  0.748   | 0.004 |  0.359   | 0.001 | 0.097 |
#> |    2000    |  0.040  |  0.708   | 0.004 |  0.354   | 0.008 | 0.178 |
#> |    2010    |  0.034  |  0.724   | 0.007 |  0.347   | 0.009 | 0.112 |
#> |    2020    |  0.031  |  0.679   | 0.004 |  0.307   | 0.004 | 0.135 |
bp$within.class.sample.predictivity
#> $`1950`
#>           1           2           3           4           5           6 
#> 0.015746118 0.039730907 0.038497287 0.439666227 0.295784798 0.033879879 
#>           7           8           9          10          11          12 
#> 0.051984303 0.094404979 0.066739365 0.022906377 0.023222065 0.029903155 
#>          13          14          15          16          17          18 
#> 0.005232429 0.215091276 0.222586853 0.030373564 0.105045912 0.107605608 
#>          19          20          21          22          23          24 
#> 0.446808282 0.633012008 0.183867884 0.559753500 0.087099523 0.681736397 
#>          25          26          27          28          29          30 
#> 0.399452378 0.172633968 0.786841782 0.883491755 0.330237508 0.400795164 
#>          31          32          33          34          35          36 
#> 0.470506415 0.689945776 0.840671179 0.479041034 0.069240190 0.143161522 
#>          37          38          39          40          41          42 
#> 0.296027916 0.471274070 0.457073066 0.703790400 0.821506910 0.214198289 
#>          43          44          45          46          47          48 
#> 0.154020811 0.489285551 0.154766746 0.368023724 0.967064057 0.536786881 
#>          49          50          51          52          53          54 
#> 0.040982854 0.160021615 0.496128914 0.695456818 0.849843078 0.055428868 
#>          55          56          57          58          59          60 
#> 0.023828581 0.188415066 0.220614476 0.749728731 0.297507430 0.121130477 
#>          61          62          63          64          65          66 
#> 0.307879971 0.259804892 0.055035861 0.143700768 0.711699149 0.074593358 
#>          67          68          69          70          71          72 
#> 0.006633255 0.161860130 0.154779686 0.543050342 0.208432081 0.463612659 
#>          73          74          75          76          77          78 
#> 0.112775087 0.124347944 0.285748825 0.213332089 0.013906186 0.049204304 
#>          79          80          81          82          83          84 
#> 0.124145818 0.451076321 0.221528412 0.123613556 0.190230783 0.099612555 
#>          85          86          87          88          89          90 
#> 0.770378972 0.793227433 0.010329013 0.048953782 0.310027367 0.095276705 
#>          91          92          93          94          95          96 
#> 0.397702705 0.517912121 0.553885691 0.453997476 0.263336004 0.327643048 
#>          97          98          99         100         101         102 
#> 0.101118938 0.109911781 0.374738442 0.695604337 0.335158073 0.541239275 
#>         103         104         105         106         107         108 
#> 0.207538276 0.011108215 0.438678578 0.728913606 0.070711612 0.097076708 
#>         109         110         111         112         113         114 
#> 0.573464690 0.765842549 0.752050286 0.933697317 0.499467278 0.262198824 
#>         115         116         117         118         119         120 
#> 0.511451135 0.740709289 0.845680494 0.834522310 0.342733213 0.223301108 
#> 
#> $`1960`
#>           1           2           3           4           5           6 
#> 0.060499428 0.018961596 0.056329076 0.004703855 0.288643056 0.021723795 
#>           7           8           9          10          11          12 
#> 0.013703293 0.010165941 0.227803484 0.017794324 0.046043589 0.067095034 
#>          13          14          15          16          17          18 
#> 0.671508663 0.962001931 0.396885090 0.392074415 0.203903629 0.600537339 
#>          19          20          21          22          23          24 
#> 0.731640884 0.839862893 0.301154983 0.225923041 0.411174608 0.085250985 
#>          25          26          27          28          29          30 
#> 0.805630467 0.532418211 0.292184270 0.921257429 0.525725624 0.264305394 
#>          31          32          33          34          35          36 
#> 0.330406701 0.638144147 0.763898940 0.726109231 0.300384013 0.154019409 
#>          37          38          39          40          41          42 
#> 0.443707027 0.264620328 0.497661840 0.769669595 0.495086418 0.378178904 
#>          43          44          45          46          47          48 
#> 0.627248991 0.273669813 0.053783098 0.759692435 0.939456312 0.608037343 
#>          49          50          51          52          53          54 
#> 0.038087224 0.407710145 0.191085763 0.749794649 0.796031927 0.043814526 
#>          55          56          57          58          59          60 
#> 0.192632624 0.190927078 0.519511487 0.570496756 0.043941646 0.246100995 
#>          61          62          63          64          65          66 
#> 0.649896006 0.566158740 0.422092426 0.057898811 0.733128684 0.084228546 
#>          67          68          69          70          71          72 
#> 0.018800946 0.038855140 0.258580302 0.661813791 0.393307520 0.263453964 
#>          73          74          75          76          77          78 
#> 0.135678570 0.151031107 0.254437615 0.170458577 0.025882858 0.056722040 
#>          79          80          81          82          83          84 
#> 0.162922207 0.240768230 0.396669069 0.272272419 0.029556698 0.053508394 
#>          85          86          87          88          89          90 
#> 0.415543790 0.332871714 0.041126541 0.002000071 0.456230794 0.121220963 
#>          91          92          93          94          95          96 
#> 0.202976483 0.074051178 0.391454374 0.152815915 0.145643526 0.059938395 
#>          97          98          99         100         101         102 
#> 0.155999530 0.460591713 0.568274807 0.637567775 0.065385090 0.402244083 
#>         103         104         105         106         107         108 
#> 0.221395609 0.054319631 0.102601511 0.848377379 0.398413591 0.065100542 
#>         109         110         111         112         113         114 
#> 0.309528521 0.639316347 0.796010926 0.799516803 0.385606804 0.502543619 
#>         115         116         117         118         119         120 
#> 0.516932435 0.622828455 0.836200706 0.741291674 0.343191932 0.377383751 
#> 
#> $`1970`
#>           1           2           3           4           5           6 
#> 0.025878232 0.047595607 0.112693775 0.002237434 0.028006311 0.033928264 
#>           7           8           9          10          11          12 
#> 0.038759776 0.099243058 0.203191144 0.017390380 0.027030358 0.116484020 
#>          13          14          15          16          17          18 
#> 0.792551422 0.928836304 0.799652546 0.353755590 0.342073432 0.497195206 
#>          19          20          21          22          23          24 
#> 0.829573879 0.787270408 0.934060237 0.422692185 0.897552190 0.362428243 
#>          25          26          27          28          29          30 
#> 0.528633708 0.749287315 0.846799168 0.654759324 0.273393697 0.418654473 
#>          31          32          33          34          35          36 
#> 0.365204546 0.698785362 0.792779516 0.403319202 0.157272577 0.335622270 
#>          37          38          39          40          41          42 
#> 0.440030320 0.308007166 0.708337163 0.851166801 0.648942537 0.625501286 
#>          43          44          45          46          47          48 
#> 0.076153589 0.019563909 0.289392333 0.402014545 0.925312805 0.600333258 
#>          49          50          51          52          53          54 
#> 0.359475370 0.093471077 0.125915872 0.358533593 0.311879081 0.327092727 
#>          55          56          57          58          59          60 
#> 0.064935197 0.112037173 0.151428606 0.820377264 0.028498158 0.091000355 
#>          61          62          63          64          65          66 
#> 0.579096955 0.741602212 0.493833125 0.242099897 0.644239989 0.033945070 
#>          67          68          69          70          71          72 
#> 0.003019020 0.042316312 0.614788054 0.509179418 0.389053778 0.751982092 
#>          73          74          75          76          77          78 
#> 0.037154800 0.082352154 0.066449262 0.178514468 0.044118015 0.025066060 
#>          79          80          81          82          83          84 
#> 0.137460514 0.317138329 0.346582169 0.166002740 0.067444371 0.086693696 
#>          85          86          87          88          89          90 
#> 0.202118381 0.886375811 0.076166047 0.089848132 0.558931434 0.204486631 
#>          91          92          93          94          95          96 
#> 0.057915497 0.282490641 0.318238723 0.388747368 0.217408770 0.166059587 
#>          97          98          99         100         101         102 
#> 0.029224419 0.086088428 0.049203955 0.557385869 0.345005755 0.265468321 
#>         103         104         105         106         107         108 
#> 0.147418567 0.006612725 0.065720468 0.559764445 0.052336197 0.012236853 
#>         109         110         111         112         113         114 
#> 0.268405489 0.801596287 0.685026572 0.236073716 0.037906772 0.302007390 
#>         115         116         117         118         119         120 
#> 0.406893587 0.606535848 0.870772810 0.969001428 0.478609279 0.517104497 
#> 
#> $`1980`
#>           1           2           3           4           5           6 
#> 0.102221430 0.102665888 0.078385316 0.015525849 0.074167610 0.064845931 
#>           7           8           9          10          11          12 
#> 0.036215906 0.141994159 0.116634063 0.039351642 0.068581774 0.086786033 
#>          13          14          15          16          17          18 
#> 0.434222315 0.700545822 0.807637648 0.064368844 0.553285273 0.370599821 
#>          19          20          21          22          23          24 
#> 0.544101369 0.650992434 0.942860376 0.461942817 0.571165136 0.435408466 
#>          25          26          27          28          29          30 
#> 0.676893772 0.372441813 0.455591067 0.305269891 0.267628944 0.415053899 
#>          31          32          33          34          35          36 
#> 0.631256713 0.726776941 0.068220513 0.309182866 0.128582000 0.337191444 
#>          37          38          39          40          41          42 
#> 0.490495596 0.358218883 0.425731876 0.261517506 0.866876550 0.496484424 
#>          43          44          45          46          47          48 
#> 0.169003357 0.360468255 0.227866777 0.779837258 0.959574127 0.432882717 
#>          49          50          51          52          53          54 
#> 0.050964123 0.517332024 0.411420412 0.317211623 0.662438720 0.003746701 
#>          55          56          57          58          59          60 
#> 0.152617441 0.163289277 0.199051458 0.509982681 0.092491185 0.128072622 
#>          61          62          63          64          65          66 
#> 0.681338603 0.607734021 0.666470451 0.051724427 0.681165571 0.070075739 
#>          67          68          69          70          71          72 
#> 0.030685876 0.092453726 0.753744528 0.374809891 0.018883181 0.428714376 
#>          73          74          75          76          77          78 
#> 0.072686058 0.104790328 0.160892970 0.119644307 0.003938612 0.037265141 
#>          79          80          81          82          83          84 
#> 0.123344850 0.265239167 0.206538669 0.174591578 0.066746434 0.113270563 
#>          85          86          87          88          89          90 
#> 0.813030948 0.329378529 0.143458296 0.095815121 0.498223809 0.364841392 
#>          91          92          93          94          95          96 
#> 0.212250858 0.274736254 0.165164262 0.356008825 0.384441324 0.410948149 
#>          97          98          99         100         101         102 
#> 0.223268867 0.335416825 0.228429037 0.403133391 0.521966810 0.400744217 
#>         103         104         105         106         107         108 
#> 0.010834297 0.023003280 0.356100372 0.672335551 0.293062125 0.064946141 
#>         109         110         111         112         113         114 
#> 0.724763194 0.744075305 0.877362276 0.681021672 0.619348962 0.496292685 
#>         115         116         117         118         119         120 
#> 0.776590460 0.733985547 0.829267739 0.498456264 0.555212614 0.170756492 
#> 
#> $`1990`
#>           1           2           3           4           5           6 
#> 0.088483025 0.016288793 0.073277745 0.038076995 0.126269234 0.041503951 
#>           7           8           9          10          11          12 
#> 0.034365413 0.081024733 0.154352033 0.009224013 0.083188835 0.084609443 
#>          13          14          15          16          17          18 
#> 0.510975671 0.951100944 0.964931399 0.510958439 0.653902191 0.473537805 
#>          19          20          21          22          23          24 
#> 0.806171228 0.785540272 0.096121823 0.430480155 0.698607125 0.393896551 
#>          25          26          27          28          29          30 
#> 0.094275838 0.587382535 0.755998177 0.877378451 0.506925085 0.325314546 
#>          31          32          33          34          35          36 
#> 0.561792474 0.723121194 0.426420107 0.650725118 0.222286215 0.102704894 
#>          37          38          39          40          41          42 
#> 0.389374541 0.415366326 0.574014576 0.529150473 0.858704646 0.342349401 
#>          43          44          45          46          47          48 
#> 0.715251361 0.231425029 0.196704852 0.187598023 0.772477087 0.501034050 
#>          49          50          51          52          53          54 
#> 0.476830196 0.537237295 0.262494529 0.147330246 0.847855054 0.101012504 
#>          55          56          57          58          59          60 
#> 0.205068160 0.305090193 0.258782027 0.709016327 0.447689899 0.246274213 
#>          61          62          63          64          65          66 
#> 0.431416706 0.230163892 0.067959451 0.185338687 0.136880049 0.040302779 
#>          67          68          69          70          71          72 
#> 0.058558313 0.031297510 0.113425432 0.178385430 0.010628615 0.623231015 
#>          73          74          75          76          77          78 
#> 0.161507625 0.233634035 0.376678428 0.004687426 0.061164320 0.127292291 
#>          79          80          81          82          83          84 
#> 0.246286836 0.350698168 0.278753042 0.070356975 0.010613556 0.145591464 
#>          85          86          87          88          89          90 
#> 0.757773704 0.283446474 0.094831339 0.216861387 0.605052840 0.320300301 
#>          91          92          93          94          95          96 
#> 0.457613704 0.370057175 0.404426975 0.452971887 0.313313179 0.286180696 
#>          97          98          99         100         101         102 
#> 0.001755563 0.463073056 0.467744777 0.712133284 0.460506540 0.324295207 
#>         103         104         105         106         107         108 
#> 0.129838793 0.127240180 0.323403092 0.635666117 0.192569535 0.026570620 
#>         109         110         111         112         113         114 
#> 0.096414142 0.649940479 0.771518067 0.858365924 0.489348042 0.474594135 
#>         115         116         117         118         119         120 
#> 0.608977258 0.726314238 0.929196822 0.212554830 0.422680013 0.663729294 
#> 
#> $`2000`
#>           1           2           3           4           5           6 
#> 0.164741079 0.161140002 0.141465309 0.048054649 0.119222720 0.080119005 
#>           7           8           9          10          11          12 
#> 0.059911002 0.113448641 0.084329499 0.013902706 0.039660737 0.067271488 
#>          13          14          15          16          17          18 
#> 0.085155881 0.309159457 0.700515270 0.379588109 0.267369719 0.556009616 
#>          19          20          21          22          23          24 
#> 0.765381863 0.781702734 0.634753869 0.158011048 0.478945362 0.098453220 
#>          25          26          27          28          29          30 
#> 0.301000739 0.017145228 0.678088469 0.869899442 0.217150144 0.413802008 
#>          31          32          33          34          35          36 
#> 0.318994609 0.582212986 0.624009812 0.609337818 0.103171560 0.663530655 
#>          37          38          39          40          41          42 
#> 0.415218679 0.497724940 0.500870721 0.127956631 0.153508914 0.769112988 
#>          43          44          45          46          47          48 
#> 0.711738568 0.157856829 0.263867354 0.615515787 0.563047556 0.254334840 
#>          49          50          51          52          53          54 
#> 0.127382273 0.301820770 0.325647486 0.399319843 0.846257029 0.123250055 
#>          55          56          57          58          59          60 
#> 0.231268613 0.135402592 0.474647207 0.591950210 0.046238924 0.033440116 
#>          61          62          63          64          65          66 
#> 0.504035198 0.566257023 0.677515980 0.141342329 0.722172015 0.036256699 
#>          67          68          69          70          71          72 
#> 0.021762910 0.074151166 0.671056909 0.518424903 0.250653609 0.411623560 
#>          73          74          75          76          77          78 
#> 0.119410931 0.225074573 0.305320383 0.002364057 0.060421722 0.054552877 
#>          79          80          81          82          83          84 
#> 0.104330728 0.282683452 0.219570227 0.072422868 0.006541142 0.026651617 
#>          85          86          87          88          89          90 
#> 0.750575417 0.475302877 0.153681829 0.751929711 0.262882774 0.383660432 
#>          91          92          93          94          95          96 
#> 0.271631837 0.277761659 0.497603826 0.935449091 0.242886994 0.393958870 
#>          97          98          99         100         101         102 
#> 0.025265419 0.158939051 0.440637586 0.121290009 0.398343753 0.343888249 
#>         103         104         105         106         107         108 
#> 0.082323999 0.202775484 0.088331837 0.828980216 0.260697645 0.001340717 
#>         109         110         111         112         113         114 
#> 0.871974779 0.757885100 0.816079157 0.899363896 0.114329248 0.598297641 
#>         115         116         117         118         119         120 
#> 0.697042338 0.888841503 0.542364642 0.538251561 0.304215600 0.066321808 
#> 
#> $`2010`
#>           1           2           3           4           5           6 
#> 0.072962335 0.053336034 0.064198142 0.017554157 0.052177346 0.049181832 
#>           7           8           9          10          11          12 
#> 0.058075954 0.069694620 0.030983020 0.010913150 0.070657203 0.076467952 
#>          13          14          15          16          17          18 
#> 0.404402133 0.910281867 0.485895416 0.314292437 0.230557980 0.409467520 
#>          19          20          21          22          23          24 
#> 0.840653993 0.699909181 0.570553113 0.749057868 0.319974308 0.173907818 
#>          25          26          27          28          29          30 
#> 0.324206105 0.053606637 0.893217887 0.944418611 0.124849146 0.364116236 
#>          31          32          33          34          35          36 
#> 0.458039773 0.582439687 0.705618384 0.389818295 0.132225462 0.404389696 
#>          37          38          39          40          41          42 
#> 0.434513718 0.046826509 0.414755291 0.560770078 0.049189228 0.768477688 
#>          43          44          45          46          47          48 
#> 0.697256912 0.307997216 0.247209216 0.856657835 0.910043573 0.660258390 
#>          49          50          51          52          53          54 
#> 0.007605343 0.154752642 0.567548497 0.895140321 0.218048191 0.057255604 
#>          55          56          57          58          59          60 
#> 0.033636291 0.116557704 0.449557606 0.783127394 0.214720763 0.149575795 
#>          61          62          63          64          65          66 
#> 0.289373239 0.765082601 0.253529706 0.226316134 0.005966895 0.036136279 
#>          67          68          69          70          71          72 
#> 0.035106551 0.019345964 0.554675518 0.349499516 0.114667742 0.220516750 
#>          73          74          75          76          77          78 
#> 0.092220497 0.093773392 0.087333118 0.007769313 0.002270097 0.044719833 
#>          79          80          81          82          83          84 
#> 0.105993832 0.257137982 0.140612036 0.028313567 0.030631505 0.055359947 
#>          85          86          87          88          89          90 
#> 0.935762762 0.082356139 0.058925638 0.485880563 0.438212077 0.539917042 
#>          91          92          93          94          95          96 
#> 0.330524541 0.574432957 0.251139610 0.551101509 0.354307454 0.395516961 
#>          97          98          99         100         101         102 
#> 0.191024329 0.432341057 0.452667291 0.148126152 0.052022591 0.233455921 
#>         103         104         105         106         107         108 
#> 0.145768512 0.015681579 0.038088748 0.347777631 0.087163167 0.019657156 
#>         109         110         111         112         113         114 
#> 0.807584441 0.528042783 0.731135071 0.881031915 0.014411555 0.394700865 
#>         115         116         117         118         119         120 
#> 0.635443073 0.816384900 0.812357562 0.719929923 0.366473221 0.248178246 
#> 
#> $`2020`
#>          1          2          3          4          5          6          7 
#> 0.05259444 0.14852527 0.10015323 0.07743033 0.05232701 0.03122956 0.04160198 
#>          8          9         10         11         12         13         14 
#> 0.05010950 0.10443187 0.04009211 0.01072308 0.04005989 0.18742327 0.30594779 
#>         15         16         17         18         19         20         21 
#> 0.03176701 0.43045390 0.13668456 0.09568843 0.67240720 0.68705733 0.83620456 
#>         22         23         24         25         26         27         28 
#> 0.69317185 0.65425361 0.10460967 0.05974724 0.37821238 0.85489025 0.58447004 
#>         29         30         31         32         33         34         35 
#> 0.23490155 0.27375184 0.45852482 0.47946140 0.57908811 0.53154998 0.05459656 
#>         36         37         38         39         40         41         42 
#> 0.28487328 0.37078226 0.22387021 0.40476458 0.61198086 0.74054872 0.63076832 
#>         43         44         45         46         47         48         49 
#> 0.76254819 0.55147972 0.31859377 0.87930200 0.68125736 0.50485975 0.25148614 
#>         50         51         52         53         54         55         56 
#> 0.40440403 0.17191401 0.73498157 0.49306386 0.14785562 0.08800155 0.17110704 
#>         57         58         59         60         61         62         63 
#> 0.47278607 0.66627381 0.21137850 0.05079902 0.19176583 0.22713882 0.27276147 
#>         64         65         66         67         68         69         70 
#> 0.24212634 0.68859875 0.03462458 0.02257600 0.16896710 0.62940177 0.18557097 
#>         71         72         73         74         75         76         77 
#> 0.29648063 0.50636365 0.02693161 0.17227247 0.07831390 0.13730714 0.01769318 
#>         78         79         80         81         82         83         84 
#> 0.01391310 0.09199678 0.25426887 0.26384462 0.26394779 0.03801322 0.05413875 
#>         85         86         87         88         89         90         91 
#> 0.66328552 0.67198819 0.29222360 0.01155712 0.69077427 0.50051805 0.16226909 
#>         92         93         94         95         96         97         98 
#> 0.39147082 0.61446740 0.27477097 0.11739605 0.11816590 0.07481505 0.36807143 
#>         99        100        101        102        103        104        105 
#> 0.32100968 0.07039846 0.22869381 0.24433082 0.13064224 0.03949532 0.07186804 
#>        106        107        108        109        110        111        112 
#> 0.89737437 0.28778021 0.03224334 0.46371343 0.52007709 0.87300925 0.88940864 
#>        113        114        115        116        117        118        119 
#> 0.31988056 0.40797130 0.65332134 0.75136809 0.82957851 0.78105957 0.26858419 
#>        120 
#> 0.06873887 
#>