Spherical density estimation
Usage
# S3 method for class 'spherical'
density(x, ...)
density_calc(
x,
FUN = exponential_kamb,
n = 128L,
sigma = 3,
weights = NULL,
upper.hem = FALSE,
r = 1
)Arguments
- x
object of class
"Vec3","Line","Ray", or"Plane", where the rows are the observations and the columns are the coordinates.- ...
arguments passed to
density_calc()- FUN
density estimation function if
kamb=TRUE; one ofexponential_kamb()(the default), kamb_count, andschmidt_count().- n
integer. Grid size.
128by default.- sigma
numeric. Radius for Kamb circle used for counting. 3 by default.
- weights
(optional) numeric vector of length of
nrow(x). The relative weight to be applied to each input measurement. The array will be normalized to sum to 1, so absolute value of theweightsdo not affect the result. Defaults toNULL- upper.hem
logical. Whether the projection is shown for upper hemisphere (
TRUE) or lower hemisphere (FALSE, the default).- r
numeric. radius of stereonet circle
Examples
set.seed(20250411)
test <- rfb(100, mu = Line(120, 10), k = 5, A = diag(c(-1, 0, 1)))
density(x = test, n = 100, sigma = 3, weights = runif(100))
#> $x
#> [1] -1.00000000 -0.97979798 -0.95959596 -0.93939394 -0.91919192 -0.89898990
#> [7] -0.87878788 -0.85858586 -0.83838384 -0.81818182 -0.79797980 -0.77777778
#> [13] -0.75757576 -0.73737374 -0.71717172 -0.69696970 -0.67676768 -0.65656566
#> [19] -0.63636364 -0.61616162 -0.59595960 -0.57575758 -0.55555556 -0.53535354
#> [25] -0.51515152 -0.49494949 -0.47474747 -0.45454545 -0.43434343 -0.41414141
#> [31] -0.39393939 -0.37373737 -0.35353535 -0.33333333 -0.31313131 -0.29292929
#> [37] -0.27272727 -0.25252525 -0.23232323 -0.21212121 -0.19191919 -0.17171717
#> [43] -0.15151515 -0.13131313 -0.11111111 -0.09090909 -0.07070707 -0.05050505
#> [49] -0.03030303 -0.01010101 0.01010101 0.03030303 0.05050505 0.07070707
#> [55] 0.09090909 0.11111111 0.13131313 0.15151515 0.17171717 0.19191919
#> [61] 0.21212121 0.23232323 0.25252525 0.27272727 0.29292929 0.31313131
#> [67] 0.33333333 0.35353535 0.37373737 0.39393939 0.41414141 0.43434343
#> [73] 0.45454545 0.47474747 0.49494949 0.51515152 0.53535354 0.55555556
#> [79] 0.57575758 0.59595960 0.61616162 0.63636364 0.65656566 0.67676768
#> [85] 0.69696970 0.71717172 0.73737374 0.75757576 0.77777778 0.79797980
#> [91] 0.81818182 0.83838384 0.85858586 0.87878788 0.89898990 0.91919192
#> [97] 0.93939394 0.95959596 0.97979798 1.00000000
#>
#> $y
#> [1] -1.00000000 -0.97979798 -0.95959596 -0.93939394 -0.91919192 -0.89898990
#> [7] -0.87878788 -0.85858586 -0.83838384 -0.81818182 -0.79797980 -0.77777778
#> [13] -0.75757576 -0.73737374 -0.71717172 -0.69696970 -0.67676768 -0.65656566
#> [19] -0.63636364 -0.61616162 -0.59595960 -0.57575758 -0.55555556 -0.53535354
#> [25] -0.51515152 -0.49494949 -0.47474747 -0.45454545 -0.43434343 -0.41414141
#> [31] -0.39393939 -0.37373737 -0.35353535 -0.33333333 -0.31313131 -0.29292929
#> [37] -0.27272727 -0.25252525 -0.23232323 -0.21212121 -0.19191919 -0.17171717
#> [43] -0.15151515 -0.13131313 -0.11111111 -0.09090909 -0.07070707 -0.05050505
#> [49] -0.03030303 -0.01010101 0.01010101 0.03030303 0.05050505 0.07070707
#> [55] 0.09090909 0.11111111 0.13131313 0.15151515 0.17171717 0.19191919
#> [61] 0.21212121 0.23232323 0.25252525 0.27272727 0.29292929 0.31313131
#> [67] 0.33333333 0.35353535 0.37373737 0.39393939 0.41414141 0.43434343
#> [73] 0.45454545 0.47474747 0.49494949 0.51515152 0.53535354 0.55555556
#> [79] 0.57575758 0.59595960 0.61616162 0.63636364 0.65656566 0.67676768
#> [85] 0.69696970 0.71717172 0.73737374 0.75757576 0.77777778 0.79797980
#> [91] 0.81818182 0.83838384 0.85858586 0.87878788 0.89898990 0.91919192
#> [97] 0.93939394 0.95959596 0.97979798 1.00000000
#>
#> $density
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7]
#> [1,] NA NA NA NA NA NA NA
#> [2,] NA NA NA NA NA NA NA
#> [3,] NA NA NA NA NA NA NA
#> [4,] NA NA NA NA NA NA NA
#> [5,] NA NA NA NA NA NA NA
#> [6,] NA NA NA NA NA NA NA
#> [7,] NA NA NA NA NA NA NA
#> [8,] NA NA NA NA NA NA NA
#> [9,] NA NA NA NA NA NA NA
#> [10,] NA NA NA NA NA NA NA
#> [11,] NA NA NA NA NA NA NA
#> [12,] NA NA NA NA NA NA NA
#> [13,] NA NA NA NA NA NA NA
#> [14,] NA NA NA NA NA NA NA
#> [15,] NA NA NA NA NA NA NA
#> [16,] NA NA NA NA NA NA NA
#> [17,] NA NA NA NA NA NA NA
#> [18,] NA NA NA NA NA NA NA
#> [19,] NA NA NA NA NA NA NA
#> [20,] NA NA NA NA NA NA NA
#> [21,] NA NA NA NA NA NA NA
#> [22,] NA NA NA NA NA NA NA
#> [23,] NA NA NA NA NA NA NA
#> [24,] NA NA NA NA NA NA NA
#> [25,] NA NA NA NA NA NA NA
#> [26,] NA NA NA NA NA NA NA
#> [27,] NA NA NA NA NA NA 0.4622103
#> [28,] NA NA NA NA NA NA 0.5372100
#> [29,] NA NA NA NA NA 0.5305786 0.6087176
#> [30,] NA NA NA NA NA 0.5995278 0.6740841
#> [31,] NA NA NA NA NA 0.6615606 0.7309429
#> [32,] NA NA NA NA 0.6243734 0.7145427 0.7773726
#> [33,] NA NA NA NA 0.6723830 0.7568258 0.8120212
#> [34,] NA NA NA 0.6081936 0.7099025 0.7873538 0.8341846
#> [35,] NA NA NA 0.6408791 0.7361884 0.8057239 0.8438374
#> [36,] NA NA NA 0.6632918 0.7511313 0.8121996 0.8416169
#> [37,] NA NA 0.5756665 0.6755814 0.7552516 0.8076796 0.8287671
#> [38,] NA NA 0.5863690 0.6784688 0.7496540 0.7936275 0.8070494
#> [39,] NA NA 0.5892928 0.6731877 0.7359453 0.7719719 0.7786299
#> [40,] NA NA 0.5857108 0.6613945 0.7161265 0.7449847 0.7459523
#> [41,] NA 0.4955208 0.5772300 0.6450569 0.6924668 0.7151492 0.7116065
#> [42,] NA 0.4913996 0.5656813 0.6263285 0.6673704 0.6850249 0.6781999
#> [43,] NA 0.4854571 0.5530010 0.6074212 0.6432453 0.6571201 0.6482390
#> [44,] NA 0.4793358 0.5411143 0.5904821 0.6223808 0.6337759 0.6240256
#> [45,] NA 0.4746126 0.5318273 0.5774845 0.6068422 0.6170695 0.6075730
#> [46,] NA 0.4727107 0.5267350 0.5701372 0.5983862 0.6087398 0.6005426
#> [47,] NA 0.4748286 0.5271511 0.5698184 0.5984019 0.6101362 0.6042040
#> [48,] NA 0.4818911 0.5340615 0.5775347 0.6078769 0.6221944 0.6194176
#> [49,] NA 0.4945233 0.5481038 0.5939067 0.6273906 0.6454361 0.6466414
#> [50,] NA 0.5130475 0.5695704 0.6191805 0.6571320 0.6799921 0.6859567
#> [51,] NA 0.5375016 0.5984349 0.6532600 0.6969391 0.7256462 0.7371143
#> [52,] NA 0.5676735 0.6343944 0.6957577 0.7463540 0.7818941 0.7995938
#> [53,] NA 0.6031482 0.6769251 0.7460563 0.8046905 0.8480126 0.8726731
#> [54,] NA 0.6433602 0.7253421 0.8033751 0.8711043 0.9231327 0.9555009
#> [55,] NA 0.6876463 0.7788587 0.8668340 0.9446604 1.0063078 1.0471648
#> [56,] NA 0.7352918 0.8366374 0.9355084 1.0243897 1.0965718 1.1467485
#> [57,] NA 0.7855665 0.8978287 1.0084687 1.1093295 1.1929784 1.2533713
#> [58,] NA 0.8377474 0.9615929 1.0848016 1.1985425 1.2946188 1.3662028
#> [59,] NA 0.8911264 1.0271051 1.1636106 1.2911129 1.4006127 1.4844511
#> [60,] NA 0.9450050 1.0935436 1.2439970 1.3861200 1.5100757 1.6073241
#> [61,] NA NA 1.1600667 1.3250271 1.4825944 1.6220643 1.7339657
#> [62,] NA NA 1.2257833 1.4056901 1.5794632 1.7355085 1.8633752
#> [63,] NA NA 1.2897258 1.4848574 1.6754933 1.8491388 1.9943204
#> [64,] NA NA 1.3508331 1.5612526 1.7692464 1.9614239 2.1252554
#> [65,] NA NA NA 1.6334420 1.8590535 2.0705275 2.2542601
#> [66,] NA NA NA 1.6998533 1.9430229 2.1743008 2.3790118
#> [67,] NA NA NA 1.7588296 2.0190859 2.2703155 2.4968036
#> [68,] NA NA NA NA 2.0850858 2.3559478 2.6046149
#> [69,] NA NA NA NA 2.1389075 2.4285087 2.6992382
#> [70,] NA NA NA NA NA 2.4854199 2.7774577
#> [71,] NA NA NA NA NA 2.5244207 2.8362708
#> [72,] NA NA NA NA NA 2.5437902 2.8731353
#> [73,] NA NA NA NA NA NA 2.8862234
#> [74,] NA NA NA NA NA NA 2.8746572
#> [75,] NA NA NA NA NA NA NA
#> [76,] NA NA NA NA NA NA NA
#> [77,] NA NA NA NA NA NA NA
#> [78,] NA NA NA NA NA NA NA
#> [79,] NA NA NA NA NA NA NA
#> [80,] NA NA NA NA NA NA NA
#> [81,] NA NA NA NA NA NA NA
#> [82,] NA NA NA NA NA NA NA
#> [83,] NA NA NA NA NA NA NA
#> [84,] NA NA NA NA NA NA NA
#> [85,] NA NA NA NA NA NA NA
#> [86,] NA NA NA NA NA NA NA
#> [87,] NA NA NA NA NA NA NA
#> [88,] NA NA NA NA NA NA NA
#> [89,] NA NA NA NA NA NA NA
#> [90,] NA NA NA NA NA NA NA
#> [91,] NA NA NA NA NA NA NA
#> [92,] NA NA NA NA NA NA NA
#> [93,] NA NA NA NA NA NA NA
#> [94,] NA NA NA NA NA NA NA
#> [95,] NA NA NA NA NA NA NA
#> [96,] NA NA NA NA NA NA NA
#> [97,] NA NA NA NA NA NA NA
#> [98,] NA NA NA NA NA NA NA
#> [99,] NA NA NA NA NA NA NA
#> [100,] NA NA NA NA NA NA NA
#> [,8] [,9] [,10] [,11] [,12] [,13] [,14]
#> [1,] NA NA NA NA NA NA NA
#> [2,] NA NA NA NA NA NA NA
#> [3,] NA NA NA NA NA NA NA
#> [4,] NA NA NA NA NA NA NA
#> [5,] NA NA NA NA NA NA NA
#> [6,] NA NA NA NA NA NA NA
#> [7,] NA NA NA NA NA NA NA
#> [8,] NA NA NA NA NA NA NA
#> [9,] NA NA NA NA NA NA NA
#> [10,] NA NA NA NA NA NA NA
#> [11,] NA NA NA NA NA NA NA
#> [12,] NA NA NA NA NA NA NA
#> [13,] NA NA NA NA NA NA NA
#> [14,] NA NA NA NA NA NA NA
#> [15,] NA NA NA NA NA NA NA
#> [16,] NA NA NA NA NA NA NA
#> [17,] NA NA NA NA NA NA NA
#> [18,] NA NA NA NA NA NA 0.1476889
#> [19,] NA NA NA NA NA 0.1696491 0.1561528
#> [20,] NA NA NA NA 0.1975884 0.1913688 0.1724060
#> [21,] NA NA NA 0.2285582 0.2320098 0.2204137 0.1954909
#> [22,] NA NA NA 0.2747003 0.2731772 0.2555169 0.2239909
#> [23,] NA NA 0.3155421 0.3268635 0.3195007 0.2949638 0.2561463
#> [24,] NA 0.3503719 0.3770772 0.3831428 0.3689691 0.3367308 0.2899991
#> [25,] NA 0.4191839 0.4415665 0.4412536 0.4193096 0.3786481 0.3235501
#> [26,] 0.4487736 0.4897077 0.5064974 0.4987084 0.4681648 0.4185679 0.3549089
#> [27,] 0.5228451 0.5592681 0.5692225 0.5530053 0.5132698 0.4545204 0.3824246
#> [28,] 0.5946129 0.6251303 0.6271556 0.6018101 0.5526111 0.4848442 0.4047857
#> [29,] 0.6613394 0.6846980 0.6779551 0.6431146 0.5845540 0.5082815 0.4210841
#> [30,] 0.7205015 0.7356950 0.7196795 0.6753609 0.6079331 0.5240349 0.4308411
#> [31,] 0.7699642 0.7763133 0.7509042 0.6975228 0.6220994 0.5317833 0.4339988
#> [32,] 0.8081192 0.8053206 0.7707942 0.7091443 0.6269275 0.5316639 0.4308804
#> [33,] 0.8339790 0.8221205 0.7791303 0.7103361 0.6227865 0.5242228 0.4221288
#> [34,] 0.8472235 0.8267673 0.7762947 0.7017357 0.6104827 0.5103465 0.4086315
#> [35,] 0.8481996 0.8199372 0.7632200 0.6844403 0.5911820 0.4911804 0.3914404
#> [36,] 0.8378798 0.8028656 0.7413104 0.6599205 0.5663222 0.4680455 0.3716962
#> [37,] 0.8177851 0.7772567 0.7123458 0.6299245 0.5375242 0.4423592 0.3505625
#> [38,] 0.7898838 0.7451765 0.6783764 0.5963809 0.5065072 0.4155678 0.3291753
#> [39,] 0.7564729 0.7089371 0.6416166 0.5613076 0.4750159 0.3890927 0.3086096
#> [40,] 0.7200540 0.6709814 0.6043441 0.5267298 0.4447603 0.3642926 0.2898628
#> [41,] 0.6832089 0.6337735 0.5688096 0.4946114 0.4173695 0.3424399 0.2738522
#> [42,] 0.6484842 0.5996997 0.5371588 0.4667993 0.3943588 0.3247089 0.2614221
#> [43,] 0.6182870 0.5709840 0.5113678 0.4449806 0.3771071 0.3121718 0.2533563
#> [44,] 0.5947976 0.5496183 0.4931929 0.4306498 0.3668414 0.3057987 0.2503908
#> [45,] 0.5799002 0.5373088 0.4841329 0.4250868 0.3646271 0.3064577 0.2532219
#> [46,] 0.5751324 0.5354392 0.4854035 0.4293406 0.3713601 0.3149134 0.2625089
#> [47,] 0.5816559 0.5450497 0.4979240 0.4442219 0.3877625 0.3318233 0.2788700
#> [48,] 0.6002458 0.5668321 0.5223155 0.4703014 0.4143792 0.3577322 0.3028718
#> [49,] 0.6313008 0.6011410 0.5589109 0.5079171 0.4515806 0.3930670 0.3350179
#> [50,] 0.6748710 0.6480202 0.6077775 0.5571900 0.4995696 0.4381359 0.3757371
#> [51,] 0.7307022 0.7072436 0.6687513 0.6180505 0.5583987 0.4931336 0.4253783
#> [52,] 0.7982939 0.7783679 0.7414825 0.6902748 0.6279951 0.5581555 0.4842132
#> [53,] 0.8769654 0.8607937 0.8254899 0.7735298 0.7081963 0.6332228 0.5524501
#> [54,] 0.9659259 0.9538316 0.9202197 0.8674247 0.7987924 0.7183152 0.6302580
#> [55,] 1.0643412 1.0567644 1.0251038 0.9715635 0.8995727 0.8134110 0.7177992
#> [56,] 1.1713892 1.1689011 1.1396111 1.0855927 1.0103697 0.9185266 0.8152648
#> [57,] 1.2862977 1.2896142 1.2632831 1.2092369 1.1310932 1.0337509 0.9229076
#> [58,] 1.4083591 1.4183527 1.3957483 1.3423140 1.2617491 1.1592650 1.0410651
#> [59,] 1.5369157 1.5546281 1.5367091 1.4847253 1.4024321 1.2953416 1.1701634
#> [60,] 1.6713167 1.6979689 1.6858972 1.6364142 1.5532912 1.4423162 1.3106968
#> [61,] 1.8108481 1.8478469 1.8429989 1.7972936 1.7144618 1.6005279 1.4631781
#> [62,] 1.9546415 2.0035783 2.0075527 1.9671442 1.8859682 1.7702289 1.6280576
#> [63,] 2.1015732 2.1642117 2.1788293 2.1454908 2.0676006 1.9514667 1.8056143
#> [64,] 2.2501651 2.3284136 2.3557052 2.3314674 2.2587772 2.1439473 1.9958248
#> [65,] 2.3985036 2.4943684 2.5365456 2.5236871 2.4584046 2.3468920 2.1982211
#> [66,] 2.5441912 2.6597079 2.7191128 2.7201317 2.6647529 2.5589024 2.4117515
#> [67,] 2.6843438 2.8214862 2.9005177 2.9180802 2.8753637 2.7778522 2.6346609
#> [68,] 2.8156446 2.9762120 3.0772272 3.1140905 3.0870063 3.0008200 2.8644058
#> [69,] 2.9344592 3.1199455 3.2451381 3.3040461 3.2956962 3.2240814 3.0976213
#> [70,] 3.0370099 3.2484612 3.3997208 3.4832746 3.4967844 3.4431668 3.3301497
#> [71,] 3.1196024 3.3574704 3.5362290 3.6467378 3.6851205 3.6529928 3.5571380
#> [72,] 3.1788895 3.4428918 3.6499668 3.7892840 3.8552825 3.8480630 3.7732053
#> [73,] 3.2121526 3.5011500 3.7365939 3.9059493 4.0018630 4.0227296 3.9726721
#> [74,] 3.2175759 3.5294797 3.7924477 3.9922865 4.1197921 4.1714991 4.1498394
#> [75,] 3.1944883 3.5262077 3.8148565 4.0446961 4.2046748 4.2893620 4.2992987
#> [76,] NA 3.4909875 3.8024149 4.0607326 4.2531145 4.3721217 4.4162517
#> [77,] NA 3.4249582 3.7551971 4.0393599 4.2629990 4.4166961 4.4968144
#> [78,] NA NA 3.6748811 3.9811301 4.2337214 4.4213688 4.5382840
#> [79,] NA NA NA 3.8882658 4.1663169 4.3859683 4.5393466
#> [80,] NA NA NA 3.7646321 4.0634988 4.3119576 4.5002098
#> [81,] NA NA NA NA 3.9295843 4.2024255 4.4226479
#> [82,] NA NA NA NA NA 4.0619748 4.3099558
#> [83,] NA NA NA NA NA NA 4.1668144
#> [84,] NA NA NA NA NA NA NA
#> [85,] NA NA NA NA NA NA NA
#> [86,] NA NA NA NA NA NA NA
#> [87,] NA NA NA NA NA NA NA
#> [88,] NA NA NA NA NA NA NA
#> [89,] NA NA NA NA NA NA NA
#> [90,] NA NA NA NA NA NA NA
#> [91,] NA NA NA NA NA NA NA
#> [92,] NA NA NA NA NA NA NA
#> [93,] NA NA NA NA NA NA NA
#> [94,] NA NA NA NA NA NA NA
#> [95,] NA NA NA NA NA NA NA
#> [96,] NA NA NA NA NA NA NA
#> [97,] NA NA NA NA NA NA NA
#> [98,] NA NA NA NA NA NA NA
#> [99,] NA NA NA NA NA NA NA
#> [100,] NA NA NA NA NA NA NA
#> [,15] [,16] [,17] [,18] [,19] [,20]
#> [1,] NA NA NA NA NA NA
#> [2,] NA NA NA NA NA NA
#> [3,] NA NA NA NA NA NA
#> [4,] NA NA NA NA NA NA
#> [5,] NA NA NA NA NA NA
#> [6,] NA NA NA NA NA NA
#> [7,] NA NA NA NA NA NA
#> [8,] NA NA NA NA NA NA
#> [9,] NA NA NA NA NA NA
#> [10,] NA NA NA NA NA NA
#> [11,] NA NA NA NA NA NA
#> [12,] NA NA NA NA NA 0.2519827643
#> [13,] NA NA NA NA 0.198748564 0.1769062958
#> [14,] NA NA NA 0.16182734 0.138596335 0.1133322681
#> [15,] NA NA 0.13969102 0.11585726 0.088894701 0.0610593305
#> [16,] NA 0.1309333 0.10749300 0.07953749 0.049480979 0.0196352119
#> [17,] 0.1341335 0.1123409 0.08434468 0.05267721 0.019888355 0.0000000000
#> [18,] 0.1291022 0.1023339 0.06995695 0.03472926 0.000000000 0.0000000000
#> [19,] 0.1322594 0.1004572 0.06363955 0.02480650 0.000000000 0.0000000000
#> [20,] 0.1429231 0.1058211 0.06434023 0.02173589 0.000000000 0.0000000000
#> [21,] 0.1599573 0.1171657 0.07072303 0.02414186 0.000000000 0.0000000000
#> [22,] 0.1818621 0.1329636 0.08127355 0.03054696 0.000000000 0.0000000000
#> [23,] 0.2068986 0.1515443 0.09441660 0.03947769 0.000000000 0.0000000000
#> [24,] 0.2332312 0.1712263 0.10863266 0.04956414 0.000000000 0.0000000000
#> [25,] 0.2590701 0.1904407 0.12256151 0.05962455 0.004894914 0.0000000000
#> [26,] 0.2827992 0.2078357 0.13508420 0.06872815 0.011887781 0.0000000000
#> [27,] 0.3030797 0.2223535 0.14537772 0.07623215 0.017811877 0.0000000000
#> [28,] 0.3189207 0.2332760 0.15293970 0.08179129 0.022424993 0.0000000000
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#> [81,] 2.17967183 2.05016662 1.90934789 1.75964735 1.60398418 1.44557396
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#> [83,] 2.80958034 2.65541166 2.48495041 2.30161869 2.10942616 1.91270925
#> [84,] 3.10503382 2.93854901 2.75352695 2.55386801 2.34409632 2.12906677
#> [85,] 3.36985341 3.19163686 2.99296287 2.77816773 2.55223597 2.32047884
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#> [89,] 3.88030048 3.67112118 3.43905566 3.18930601 2.92768686 2.66025156
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#> [7,] 4.57954495 4.72780698 4.86517333 4.9898257 5.10010995 5.19460242
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#> [15,] 2.87312290 2.89786713 2.92129876 2.9456693 2.97312737 3.00573295
#> [16,] 2.78508340 2.79795089 2.80785901 2.8172749 2.82860500 2.84420066
#> [17,] 2.70577673 2.71085185 2.71117067 2.7092800 2.70770828 2.70896352
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#> [19,] 2.54396765 2.54557473 2.53907211 2.5268103 2.51119155 2.49465167
#> [20,] 2.45023731 2.45535670 2.45107658 2.4395133 2.42285789 2.40334942
#> [21,] 2.34326986 2.35451649 2.35544793 2.3478884 2.33375030 2.31499902
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#> [23,] 2.08543137 2.11356803 2.13081144 2.1383248 2.13736014 2.12920441
#> [24,] 1.93589007 1.97319619 1.99993346 2.0169398 2.02513034 2.02543551
#> [25,] 1.77522021 1.82123296 1.85735900 1.8841380 1.90216969 1.91204386
#> [26,] 1.60625701 1.65994948 1.70473349 1.7408905 1.76874077 1.78856627
#> [27,] 1.43221250 1.49213730 1.54435490 1.5889375 1.62597218 1.65547892
#> [28,] 1.25644328 1.32088379 1.37896296 1.4305970 1.47569308 1.51406308
#> [29,] 1.08225159 1.14936953 1.21153837 1.2685723 1.32025406 1.36624575
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#> [55,] 0.13565640 0.1671573 0.1998138 0.2358406 0.2772681 0.3252909 0.3796214
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#> [73,] 0.31789259 0.4274317 NA NA NA NA NA
#> [74,] 0.34660326 0.4506218 NA NA NA NA NA
#> [75,] 0.36971110 NA NA NA NA NA NA
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#> [78,] NA NA NA NA NA NA NA
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#> [81,] NA NA NA NA NA NA NA
#> [82,] NA NA NA NA NA NA NA
#> [83,] NA NA NA NA NA NA NA
#> [84,] NA NA NA NA NA NA NA
#> [85,] NA NA NA NA NA NA NA
#> [86,] NA NA NA NA NA NA NA
#> [87,] NA NA NA NA NA NA NA
#> [88,] NA NA NA NA NA NA NA
#> [89,] NA NA NA NA NA NA NA
#> [90,] NA NA NA NA NA NA NA
#> [91,] NA NA NA NA NA NA NA
#> [92,] NA NA NA NA NA NA NA
#> [93,] NA NA NA NA NA NA NA
#> [94,] NA NA NA NA NA NA NA
#> [95,] NA NA NA NA NA NA NA
#> [96,] NA NA NA NA NA NA NA
#> [97,] NA NA NA NA NA NA NA
#> [98,] NA NA NA NA NA NA NA
#> [99,] NA NA NA NA NA NA NA
#> [100,] NA NA NA NA NA NA NA
#> [,100]
#> [1,] NA
#> [2,] NA
#> [3,] NA
#> [4,] NA
#> [5,] NA
#> [6,] NA
#> [7,] NA
#> [8,] NA
#> [9,] NA
#> [10,] NA
#> [11,] NA
#> [12,] NA
#> [13,] NA
#> [14,] NA
#> [15,] NA
#> [16,] NA
#> [17,] NA
#> [18,] NA
#> [19,] NA
#> [20,] NA
#> [21,] NA
#> [22,] NA
#> [23,] NA
#> [24,] NA
#> [25,] NA
#> [26,] NA
#> [27,] NA
#> [28,] NA
#> [29,] NA
#> [30,] NA
#> [31,] NA
#> [32,] NA
#> [33,] NA
#> [34,] NA
#> [35,] NA
#> [36,] NA
#> [37,] NA
#> [38,] NA
#> [39,] NA
#> [40,] NA
#> [41,] NA
#> [42,] NA
#> [43,] NA
#> [44,] NA
#> [45,] NA
#> [46,] NA
#> [47,] NA
#> [48,] NA
#> [49,] NA
#> [50,] NA
#> [51,] NA
#> [52,] NA
#> [53,] NA
#> [54,] NA
#> [55,] NA
#> [56,] NA
#> [57,] NA
#> [58,] NA
#> [59,] NA
#> [60,] NA
#> [61,] NA
#> [62,] NA
#> [63,] NA
#> [64,] NA
#> [65,] NA
#> [66,] NA
#> [67,] NA
#> [68,] NA
#> [69,] NA
#> [70,] NA
#> [71,] NA
#> [72,] NA
#> [73,] NA
#> [74,] NA
#> [75,] NA
#> [76,] NA
#> [77,] NA
#> [78,] NA
#> [79,] NA
#> [80,] NA
#> [81,] NA
#> [82,] NA
#> [83,] NA
#> [84,] NA
#> [85,] NA
#> [86,] NA
#> [87,] NA
#> [88,] NA
#> [89,] NA
#> [90,] NA
#> [91,] NA
#> [92,] NA
#> [93,] NA
#> [94,] NA
#> [95,] NA
#> [96,] NA
#> [97,] NA
#> [98,] NA
#> [99,] NA
#> [100,] NA
#>
#> attr(,"class")
#> [1] "list" "sph_density"