Dear Statalist users,

I am running xtpmg on stata 16.0.
Running it on my level variables doesn't pose any problems, however, when I log my variables and attempt to run xtpmg again, I am met with the following error message:

note: l_y dropped because of collinearity
initial vector: duplicate entries for l_y_sq found
r(507);

my code is attached below.

Any advice is kindly appreciated, thank you very much

Code:
xtset c_id year

global variables ew y y_sq
foreach i in $variables{
gen l_`i'=ln(`i')
}

xtpmg d.ew d.y d.y_sq , lr(l.ew y y_sq) replace pmg
*this regression works and gives outputs

xtpmg d.l_ew d.l_y d.l_y_sq , lr(l.l_ew l_y l_y_sq) replace pmg
/*
this regression doesn't work and gives error:
note: l_y dropped because of collinearity
initial vector: duplicate entries for l_y_sq found
r(507);
*/
My data can also be found here:

Code:
* Example generated by -dataex-. To install: ssc install dataex
clear
input byte c_id str3 code str14 country int year str7 conccode float(ew y y_sq l_ew l_y l_y_sq)
1 "AUT" "Austria"  1980 "AUT1980"  .17414816 27595.836  761530112  -1.747849  10.22542  20.45084
1 "AUT" "Austria"  1981 "AUT1981"   .4507529  27485.83  755470976   -.796836 10.221426  20.44285
1 "AUT" "Austria"  1982 "AUT1982"    .812341  28018.54  785038656  -.2078351 10.240622 20.481243
1 "AUT" "Austria"  1983 "AUT1983"  1.2558123  28898.22  835107072   .2277826 10.271535  20.54307
1 "AUT" "Austria"  1984 "AUT1984"    1.77272  28914.86  836068928    .572515  10.27211  20.54422
1 "AUT" "Austria"  1985 "AUT1985"  2.3590333 29623.434  877547840   .8582519  10.29632  20.59264
1 "AUT" "Austria"  1986 "AUT1986"   3.006986 30285.934  917237760  1.1009382 10.318439 20.636877
1 "AUT" "Austria"  1987 "AUT1987"   3.707667 30677.545  941111744   1.310403 10.331286  20.66257
1 "AUT" "Austria"  1988 "AUT1988"  4.4527087  31643.81 1001330688  1.4935126 10.362298 20.724596
1 "AUT" "Austria"  1989 "AUT1989"   5.225883  32726.06 1070995008  1.6536237 10.395927 20.791855
1 "AUT" "Austria"  1990 "AUT1990"   5.998815 33888.996 1148464000   1.791562 10.430845  20.86169
1 "AUT" "Austria"  1991 "AUT1991"   6.770896  34707.07 1204580864  1.9126334 10.454699 20.909397
1 "AUT" "Austria"  1992 "AUT1992"   7.525643 35045.844 1228211200  2.0183163 10.464413 20.928825
1 "AUT" "Austria"  1993 "AUT1993"   8.279713 34941.145 1220883584  2.1138082  10.46142  20.92284
1 "AUT" "Austria"  1994 "AUT1994"   9.067493 35643.027 1270425472   2.204696  10.48131  20.96262
1 "AUT" "Austria"  1995 "AUT1995"    9.84395 36537.992 1335025024  2.2868571 10.506108 21.012217
1 "AUT" "Austria"  1996 "AUT1996"  10.640005 37346.008 1394724224   2.364621 10.527982  21.05596
1 "AUT" "Austria"  1997 "AUT1997"  11.419943 38084.703 1450444544   2.435361 10.547568 21.095137
1 "AUT" "Austria"  1998 "AUT1998"  12.206928  39405.41 1552786688   2.502004 10.581658 21.163317
1 "AUT" "Austria"  1999 "AUT1999"   12.99485  40727.48 1658727936   2.564553 10.614658 21.229317
1 "AUT" "Austria"  2000 "AUT2000"  13.796465  42001.21 1764101760   2.624412 10.645453 21.290907
1 "AUT" "Austria"  2001 "AUT2001"  14.569064  42370.93 1795295744  2.6789005 10.654218 21.308435
1 "AUT" "Austria"  2002 "AUT2002"  15.305841  42859.33 1836922112  2.7282345  10.66568  21.33136
1 "AUT" "Austria"  2003 "AUT2003"  15.987642   43052.6 1853526528   2.771816 10.670178 21.340357
1 "AUT" "Austria"  2004 "AUT2004"  16.677198  43956.58 1932181120   2.814042 10.690958 21.381916
1 "AUT" "Austria"  2005 "AUT2005"  17.415686  44637.86 1992538240   2.857371 10.706338 21.412676
1 "AUT" "Austria"  2006 "AUT2006"   18.14388  45951.73 2111561856   2.898333 10.735347 21.470694
1 "AUT" "Austria"  2007 "AUT2007"  18.835514  47510.29 2257228032   2.935744 10.768702 21.537403
1 "AUT" "Austria"  2008 "AUT2008"   19.42298  48053.48 2309137152   2.966457  10.78007  21.56014
1 "AUT" "Austria"  2009 "AUT2009"  19.902044  46123.49 2127376384  2.9908226 10.739078 21.478155
1 "AUT" "Austria"  2010 "AUT2010"  20.311794  46858.04 2195676160  3.0112016 10.754878 21.509756
1 "AUT" "Austria"  2011 "AUT2011"    20.6568  48065.32 2310274560  3.0280445 10.780316  21.56063
1 "AUT" "Austria"  2012 "AUT2012"   20.89689  48172.24 2320564480  3.0396004 10.782538 21.565077
1 "AUT" "Austria"  2013 "AUT2013"   21.03004  47901.37 2294540800   3.045952   10.7769   21.5538
1 "AUT" "Austria"  2014 "AUT2014"   21.07657  47842.75 2288928512   3.048162 10.775675  21.55135
1 "AUT" "Austria"  2015 "AUT2015"   21.00939  47789.39 2283825408  3.0449696  10.77456  21.54912
1 "AUT" "Austria"  2016 "AUT2016"  20.932676  48215.89 2324772096  3.0413115 10.783443 21.566887
1 "AUT" "Austria"  2017 "AUT2017"  20.848225  49031.11 2404049408   3.037269  10.80021  21.60042
1 "AUT" "Austria"  2018 "AUT2018"     20.778  50051.79 2505181184   3.033895 10.820813 21.641626
1 "AUT" "Austria"  2019 "AUT2019"   20.73558  50552.91 2555596288   3.031851 10.830775  21.66155
2 "BEL" "Belgium"  1980 "BEL1980"  .18315575 27069.436  732754368 -1.6974185  10.20616  20.41232
2 "BEL" "Belgium"  1981 "BEL1981"   .4748392 26994.547  728705600  -.7447791  10.20339  20.40678
2 "BEL" "Belgium"  1982 "BEL1982"   .8547354 27162.543  737803712 -.15696336 10.209594  20.41919
2 "BEL" "Belgium"  1983 "BEL1983"  1.3123662  27249.41  742530432   .2718318 10.212788 20.425575
2 "BEL" "Belgium"  1984 "BEL1984"   1.843347 27921.906  779632832   .6115829 10.237166  20.47433
2 "BEL" "Belgium"  1985 "BEL1985"   2.439025 28374.664  805121600   .8915985 10.253252 20.506504
2 "BEL" "Belgium"  1986 "BEL1986"  3.0939944  28881.57  834145024   1.129463  10.27096  20.54192
2 "BEL" "Belgium"  1987 "BEL1987"  3.7969284  29522.59  871583296  1.3341924  10.29291  20.58582
2 "BEL" "Belgium"  1988 "BEL1988"  4.5377483 30818.865  949802496   1.512431 10.335882 20.671764
2 "BEL" "Belgium"  1989 "BEL1989"   5.288216   31772.4 1009485504   1.665481 10.366353 20.732706
2 "BEL" "Belgium"  1990 "BEL1990"   6.075982 32671.645 1067436416  1.8043436 10.394263 20.788527
2 "BEL" "Belgium"  1991 "BEL1991"   6.866851  33147.14 1098732800  1.9267057 10.408711 20.817423
2 "BEL" "Belgium"  1992 "BEL1992"   7.667818 33518.242 1123472640  2.0370321 10.419846  20.83969
2 "BEL" "Belgium"  1993 "BEL1993"   8.462458 33066.418 1093387904  2.1356397 10.406274  20.81255
2 "BEL" "Belgium"  1994 "BEL1994"   9.266027 34028.426 1157933696  2.2263548 10.434952 20.869904
2 "BEL" "Belgium"  1995 "BEL1995"  10.021485 34767.027 1208746240  2.3047314 10.456425  20.91285
2 "BEL" "Belgium"  1996 "BEL1996"   10.80028 35157.695 1236063488   2.379572   10.4676   20.9352
2 "BEL" "Belgium"  1997 "BEL1997"  11.567656 36403.258 1325197184   2.448213 10.502414  21.00483
2 "BEL" "Belgium"  1998 "BEL1998"  12.311763  37038.25 1371831936   2.510555 10.519707 21.039413
2 "BEL" "Belgium"  1999 "BEL1999"  13.056366 38262.625 1464028416   2.569276  10.55223  21.10446
2 "BEL" "Belgium"  2000 "BEL2000"   13.81495   39588.6 1567257088   2.625751 10.586296  21.17259
2 "BEL" "Belgium"  2001 "BEL2001"   14.57378   39886.5 1590932480   2.679224 10.593793 21.187586
2 "BEL" "Belgium"  2002 "BEL2002"  15.277295  40385.87 1631018368   2.726368 10.606236  21.21247
2 "BEL" "Belgium"  2003 "BEL2003"  15.983816   40634.6 1651170432   2.771577 10.612375  21.22475
2 "BEL" "Belgium"  2004 "BEL2004"   16.70676  41903.99 1755944576  2.8158135 10.643136  21.28627
2 "BEL" "Belgium"  2005 "BEL2005"  17.462578   42641.7 1818313984    2.86006 10.660588 21.321175
2 "BEL" "Belgium"  2006 "BEL2006"  18.203966  43442.58 1887257984  2.9016395 10.679195  21.35839
2 "BEL" "Belgium"  2007 "BEL2007"  18.914288  44710.38 1999018496  2.9399176  10.70796  21.41592
2 "BEL" "Belgium"  2008 "BEL2008"  19.502846  44556.82 1985310720    2.97056  10.70452  21.40904
2 "BEL" "Belgium"  2009 "BEL2009"  19.951714   43306.6 1875461248   2.993315  10.67606  21.35212
2 "BEL" "Belgium"  2010 "BEL2010"   20.29906  44141.88 1948505344  3.0105746 10.695165  21.39033
2 "BEL" "Belgium"  2011 "BEL2011"  20.430185  44309.63 1963343488  3.0170135 10.698957 21.397915
2 "BEL" "Belgium"  2012 "BEL2012"  20.648737  44361.21 1967916928   3.027654  10.70012  21.40024
2 "BEL" "Belgium"  2013 "BEL2013"  20.854946  44355.38 1967399552   3.037591  10.69999  21.39998
2 "BEL" "Belgium"  2014 "BEL2014"  21.061384  44855.97 2012058112   3.047441 10.711212 21.422424
2 "BEL" "Belgium"  2015 "BEL2015"  21.297264  45507.23 2070908032   3.058579 10.725627 21.451254
2 "BEL" "Belgium"  2016 "BEL2016"  21.228296  45850.93 2102308096   3.055335  10.73315   21.4663
2 "BEL" "Belgium"  2017 "BEL2017"  21.126186  46409.13 2153807360   3.050513 10.745252 21.490503
2 "BEL" "Belgium"  2018 "BEL2018"  21.012386  47035.61 2212348928   3.045112  10.75866  21.51732
2 "BEL" "Belgium"  2019 "BEL2019"   20.90155   47618.3 2267502336   3.039823 10.770972 21.541945
3 "BGR" "Bulgaria" 1980 "BGR1980" .033378758 3651.3594   13332425 -3.3998356  8.202855  16.40571
3 "BGR" "Bulgaria" 1981 "BGR1981"  .09162347  3817.538   14573596  -2.390068  8.247361 16.494722
3 "BGR" "Bulgaria" 1982 "BGR1982"  .17120944 3895.1216   15171972 -1.7648677   8.26748  16.53496
3 "BGR" "Bulgaria" 1983 "BGR1983"  .27066395  4018.695   16149910 -1.3068773  8.298713 16.597425
3 "BGR" "Bulgaria" 1984 "BGR1984"   .3889701  4145.477   17184980  -.9442528  8.329773 16.659546
3 "BGR" "Bulgaria" 1985 "BGR1985"  .52533793 4256.7813   18120186  -.6437135  8.356269 16.712538
3 "BGR" "Bulgaria" 1986 "BGR1986"   .6785938 4437.0664   19687556  -.3877325  8.397749 16.795498
3 "BGR" "Bulgaria" 1987 "BGR1987"   .8474113 4698.7915   22078642 -.16556907  8.455061 16.910122
3 "BGR" "Bulgaria" 1988 "BGR1988"  1.0300121  5207.205   27114984  .02957058  8.557798 17.115597
3 "BGR" "Bulgaria" 1989 "BGR1989"   1.224444  5095.162   25960678   .2024868  8.536047 17.072094
3 "BGR" "Bulgaria" 1990 "BGR1990"   1.432899 4714.8994   22230278   .3596997  8.458483 16.916965
3 "BGR" "Bulgaria" 1991 "BGR1991"  1.6559867  4359.676   19006774    .504397  8.380153 16.760305
3 "BGR" "Bulgaria" 1992 "BGR1992"   1.892859  4086.269   16697595   .6380883  8.315388 16.630775
3 "BGR" "Bulgaria" 1993 "BGR1993"  2.1416276  4058.024   16467561   .7615661  8.308452 16.616903
3 "BGR" "Bulgaria" 1994 "BGR1994"   2.398559 4145.8545   17188108   .8748681 8.3298645 16.659729
3 "BGR" "Bulgaria" 1995 "BGR1995"   2.660885  4283.256   18346280   .9786589  8.362469 16.724937
3 "BGR" "Bulgaria" 1996 "BGR1996"  2.9257786  4526.654   20490596  1.0735606  8.417738 16.835476
3 "BGR" "Bulgaria" 1997 "BGR1997"  3.1908095  3907.913   15271786  1.1602746  8.270759 16.541517
3 "BGR" "Bulgaria" 1998 "BGR1998"  3.4553826 4102.6646   16831856   1.239933  8.319392 16.638784
3 "BGR" "Bulgaria" 1999 "BGR1999"   3.719454  3784.078   14319247   1.313577  8.238558 16.477116
end