This function calculates the point density of the input
spherical points at a series of counter stations. Creates
gridsize regular grid of counter stations, calculates the
distance to all input points at each counter station, and then calculates
the density using FUN. Each input point is weighted by the corresponding
item of weights. The weights are normalized to 1 before calculation.
Usage
# S3 method for class 'spherical'
density(x, ...)
density_calc(
x,
FUN = exponential_kamb,
n = 128L,
sigma = 3,
weights = NULL,
upper.hem = NULL,
radius = NULL
)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: one of
exponential_kamb()(the default),linear_inverse_kamb(),square_inverse_kamb(), kamb_count, andschmidt_count().- n
integer. The size of the grid in which the density is estimated on.
128by default.- sigma
(optional) numeric. The number of standard deviations defining the expected number of standard deviations by which a random sample from a uniform distribution of points would be expected to vary from being evenly distributed across the hemisphere. This controls the size of the counting circle, and therefore the degree of smoothing. Higher
sigmas will lead to more smoothing of the resulting density distribution. This parameter only applies to Kamb-based methods. Defaults to3.- 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 of 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). Defaults togetOption("structr.upper.hem").- radius
numeric. Radius of circle. Defaults to
getOption("structr.radius").
Value
Object of class "sph_density" which contains the a grid of spherical
coordinates (x and y, equal-area projection) and the density estimates for each grid point (density).
See also
Other density:
density-funs,
stereo_contour
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 0.00000000
#> [28,] NA NA NA NA NA NA 0.00000000
#> [29,] NA NA NA NA NA 0.00000000 0.00000000
#> [30,] NA NA NA NA NA 0.00000000 0.00000000
#> [31,] NA NA NA NA NA 0.00000000 0.00000000
#> [32,] NA NA NA NA 0.00000000 0.00000000 0.00000000
#> [33,] NA NA NA NA 0.00000000 0.00000000 0.00000000
#> [34,] NA NA NA 0.00000000 0.00000000 0.00000000 0.00000000
#> [35,] NA NA NA 0.00000000 0.00000000 0.00000000 0.00000000
#> [36,] NA NA NA 0.00000000 0.00000000 0.00000000 0.00000000
#> [37,] NA NA 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#> [38,] NA NA 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#> [39,] NA NA 0.00726361 0.00000000 0.00000000 0.00000000 0.00000000
#> [40,] NA NA 0.05795225 0.02925767 0.00000000 0.00000000 0.00000000
#> [41,] NA 0.1382162 0.11402253 0.08297389 0.04782493 0.01149510 0.00000000
#> [42,] NA 0.2015366 0.17586795 0.14270014 0.10501487 0.06598763 0.02870449
#> [43,] NA 0.2706571 0.24388349 0.20891801 0.16895353 0.12741628 0.08766845
#> [44,] NA 0.3458642 0.31845112 0.28209588 0.24018162 0.19637584 0.15431909
#> [45,] NA 0.4274165 0.39992198 0.36266906 0.31920557 0.27342633 0.22924857
#> [46,] NA 0.5155272 0.48859563 0.45101692 0.40647332 0.35906837 0.31298995
#> [47,] NA 0.6103431 0.58469691 0.54743756 0.50234753 0.45371580 0.40599011
#> [48,] NA 0.7119225 0.68835103 0.65212094 0.60707716 0.55766639 0.50858043
#> [49,] NA 0.8202116 0.79955814 0.76512148 0.72076853 0.67107171 0.62094601
#> [50,] NA 0.9350209 0.91816824 0.88633155 0.84335719 0.79390766 0.74309522
#> [51,] NA 1.0560025 1.04385792 1.01545711 0.97458244 0.92594758 0.87483123
#> [52,] NA 1.1826301 1.17610997 1.15199706 1.11396584 1.06673960 1.01572810
#> [53,] NA 1.3141813 1.31419717 1.29522756 1.26079554 1.21559051 1.16511352
#> [54,] NA 1.4497250 1.45717119 1.44419239 1.41411766 1.37155742 1.32206046
#> [55,] NA 1.5881141 1.60385737 1.59770012 1.57273548 1.53344865 1.48538916
#> [56,] NA 1.7279835 1.75285611 1.75432852 1.73521691 1.69983408 1.65368026
#> [57,] NA 1.8677564 1.90255112 1.91243622 1.89990995 1.86906462 1.82529838
#> [58,] NA 2.0056577 2.05112503 2.07018131 2.06496533 2.03929958 1.99842490
#> [59,] NA 2.1397373 2.19658260 2.22554661 2.22836534 2.20854027 2.17109718
#> [60,] NA 2.2679030 2.33678209 2.37637134 2.38795757 2.37466747 2.34125140
#> [61,] NA NA 2.46947561 2.52038891 2.54149254 2.53548100 2.50676558
#> [62,] NA NA 2.59235915 2.65527144 2.68666474 2.68873944 2.66550018
#> [63,] NA NA 2.70313372 2.77868156 2.82115721 2.83219957 2.81533439
#> [64,] NA NA 2.79957842 2.88833297 2.94269039 2.96365560 2.95419749
#> [65,] NA NA NA 2.98206082 3.04907716 3.08097963 3.08009650
#> [66,] NA NA NA 3.05790347 3.13828590 3.18216589 3.19114237
#> [67,] NA NA NA 3.11419592 3.20851376 3.26538193 3.28557864
#> [68,] NA NA NA NA 3.25827164 3.32902985 3.36181716
#> [69,] NA NA NA NA 3.28648095 3.37182054 3.41848535
#> [70,] NA NA NA NA NA 3.39286187 3.45448913
#> [71,] NA NA NA NA NA 3.39175958 3.46909362
#> [72,] NA NA NA NA NA 3.36872585 3.46202077
#> [73,] NA NA NA NA NA NA 3.43355931
#> [74,] NA NA NA NA NA NA 3.38467726
#> [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]
#> [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 NA
#> [13,] NA NA NA NA NA NA
#> [14,] NA NA NA NA NA NA
#> [15,] NA NA NA NA NA NA
#> [16,] NA NA NA NA NA NA
#> [17,] NA NA NA NA NA NA
#> [18,] NA NA NA NA NA NA
#> [19,] NA NA NA NA NA 0.00000000
#> [20,] NA NA NA NA 0.000000000 0.00000000
#> [21,] NA NA NA 0.00000000 0.000000000 0.00000000
#> [22,] NA NA NA 0.00000000 0.000000000 0.00000000
#> [23,] NA NA 0.000000000 0.00000000 0.000000000 0.00000000
#> [24,] NA 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#> [25,] NA 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#> [26,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#> [27,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#> [28,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#> [29,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#> [30,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#> [31,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#> [32,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#> [33,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#> [34,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#> [35,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#> [36,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#> [37,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#> [38,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#> [39,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#> [40,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#> [41,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#> [42,] 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
#> [43,] 0.05275821 0.02522230 0.006937126 0.00000000 0.001738444 0.01456485
#> [44,] 0.11735416 0.08830229 0.069284477 0.06158728 0.065578487 0.08068450
#> [45,] 0.19031906 0.15976101 0.139961927 0.13240602 0.137561557 0.15483992
#> [46,] 0.27219449 0.24012225 0.219448429 0.21187827 0.218002403 0.23723436
#> [47,] 0.36343801 0.32982889 0.308145510 0.30033853 0.307146036 0.32800600
#> [48,] 0.46439466 0.42921602 0.406353042 0.39802676 0.405150936 0.42721579
#> [49,] 0.57526625 0.53848114 0.514240795 0.50506183 0.512064950 0.53482591
#> [50,] 0.69608019 0.65765257 0.631816970 0.62141042 0.627794513 0.65066933
#> [51,] 0.82665972 0.78655855 0.758896081 0.74685367 0.752069800 0.77441297
#> [52,] 0.96659833 0.92479983 0.895069679 0.88095556 0.884410332 0.90551969
#> [53,] 1.11524119 1.07172950 1.039684095 1.02303824 1.024097007 1.04321613
#> [54,] 1.27167624 1.22644320 1.191829511 1.17216936 1.170157100 1.18647428
#> [55,] 1.43473711 1.38778268 1.350343969 1.32716630 1.321368142 1.33401417
#> [56,] 1.60301880 1.55435416 1.513834475 1.48662014 1.476284665 1.48433294
#> [57,] 1.77490568 1.72456114 1.680715254 1.64893988 1.633288781 1.63576184
#> [58,] 1.94861025 1.89664982 1.849260795 1.81241424 1.790661899 1.78654862
#> [59,] 2.12221906 2.06876301 2.017669003 1.97528568 1.946671170 1.93495789
#> [60,] 2.29374209 2.23899735 2.184128026 2.13582868 2.099661279 2.07937852
#> [61,] 2.46116097 2.40545818 2.346879439 2.29242316 2.248140506 2.21842467
#> [62,] 2.62247197 2.56630658 2.504270738 2.44361437 2.390850033 2.35101712
#> [63,] 2.77572087 2.71979415 2.654791485 2.58815170 2.526807309 2.47643336
#> [64,] 2.91902825 2.86428342 2.797089701 2.72500207 2.655317632 2.59431915
#> [65,] 3.05060558 2.99825357 2.929967975 2.85333685 2.775952398 2.70465903
#> [66,] 3.16876466 3.12029403 3.052361646 2.97249479 2.888496917 2.80770937
#> [67,] 3.27192442 3.22909021 3.163304072 3.08192693 2.992874612 2.90390166
#> [68,] 3.35862058 3.32340769 3.261885947 3.18113131 3.089057199 2.99372790
#> [69,] 3.42752434 3.40208204 3.347216871 3.26958711 3.176971770 3.07762078
#> [70,] 3.47747594 3.46402165 3.418397754 3.34669768 3.256415758 3.15584155
#> [71,] 3.50753816 3.50823061 3.474512281 3.41175170 3.326989689 3.22838657
#> [72,] 3.51707262 3.53385705 3.514644600 3.46391035 3.388056052 3.29492091
#> [73,] 3.50583830 3.54026999 3.537928568 3.50222711 3.438730879 3.35474521
#> [74,] 3.47410739 3.52716402 3.543631117 3.52570449 3.477912896 3.40679965
#> [75,] 3.42278799 3.49468620 3.531268464 3.53338946 3.504353320 3.44970802
#> [76,] NA 3.44357369 3.500748723 3.52450553 3.516767038 3.48186322
#> [77,] NA 3.37528424 3.452528270 3.49861415 3.513982510 3.50155476
#> [78,] NA NA 3.387762523 3.45579195 3.495122844 3.50713551
#> [79,] NA NA NA 3.39680331 3.459804128 3.49722093
#> [80,] NA NA NA 3.32324145 3.408329958 3.47090718
#> [81,] NA NA NA NA 3.341854665 3.42798742
#> [82,] NA NA NA NA NA 3.36913855
#> [83,] NA NA NA NA NA NA
#> [84,] NA NA NA NA NA NA
#> [85,] NA NA NA NA NA NA
#> [86,] NA NA NA NA NA NA
#> [87,] NA NA NA NA NA NA
#> [88,] NA NA NA NA NA NA
#> [89,] NA NA NA NA NA NA
#> [90,] NA NA NA NA NA NA
#> [91,] NA NA NA NA NA NA
#> [92,] NA NA NA NA NA NA
#> [93,] NA NA NA NA NA NA
#> [94,] NA NA NA NA NA NA
#> [95,] NA NA NA NA NA NA
#> [96,] NA NA NA NA NA NA
#> [97,] NA NA NA NA NA NA
#> [98,] NA NA NA NA NA NA
#> [99,] NA NA NA NA NA NA
#> [100,] NA NA NA NA NA NA
#> [,14] [,15] [,16] [,17] [,18] [,19]
#> [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 NA
#> [13,] NA NA NA NA NA 0.0000000
#> [14,] NA NA NA NA 0.00000000 0.0000000
#> [15,] NA NA NA 0.00000000 0.00000000 0.0000000
#> [16,] NA NA 0.00000000 0.00000000 0.00000000 0.0000000
#> [17,] NA 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [18,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [19,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [20,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [21,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [22,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [23,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [24,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [25,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [26,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [27,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [28,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [29,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [30,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [31,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [32,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [33,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [34,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [35,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [36,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [37,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [38,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [39,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [40,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
#> [41,] 0.00000000 0.00000000 0.00000000 0.00000000 0.01889340 0.0429203
#> [42,] 0.00000000 0.00000000 0.02798879 0.05836827 0.08819229 0.1154711
#> [43,] 0.03616972 0.06457748 0.09735281 0.13184628 0.16546593 0.1959386
#> [44,] 0.10544286 0.13763890 0.17452367 0.21309565 0.25041363 0.2838984
#> [45,] 0.18264374 0.21851481 0.25937834 0.30186265 0.34265609 0.3788520
#> [46,] 0.26785196 0.30715538 0.35173784 0.39784440 0.44177499 0.4802755
#> [47,] 0.36108811 0.40345997 0.45138335 0.50071244 0.54734451 0.5876593
#> [48,] 0.46230657 0.50727509 0.55805964 0.61012204 0.65894662 0.7005299
#> [49,] 0.57137669 0.61837842 0.67146191 0.72570187 0.77616389 0.8184460
#> [50,] 0.68805242 0.73644814 0.79120461 0.84702212 0.89854709 0.9409662
#> [51,] 0.81193287 0.86102028 0.91677492 0.97354385 1.02556011 1.0675897
#> [52,] 0.94241974 0.99144054 1.04747801 1.10455675 1.15650998 1.1976784
#> [53,] 1.07867975 1.12681989 1.18238440 1.23911721 1.29047467 1.3303744
#> [54,] 1.21962141 1.26600502 1.32029246 1.37600111 1.42624472 1.4645290
#> [55,] 1.36389529 1.40757451 1.45971850 1.51368582 1.56229523 1.5986629
#> [56,] 1.50992440 1.54986906 1.59892488 1.65037381 1.69680230 1.7309734
#> [57,] 1.65596725 1.69105943 1.73599100 1.78406424 1.82771233 1.8593977
#> [58,] 1.80021106 1.82925001 1.86892582 1.91267204 1.95286451 1.9817351
#> [59,] 1.94088706 1.96260925 1.99581261 2.03418521 2.07015770 2.0958198
#> [60,] 2.07639519 2.08951272 2.11497049 2.14684360 2.17774404 2.1997255
#> [61,] 2.20542248 2.20868060 2.22511201 2.24931655 2.27422521 2.2919778
#> [62,] 2.32703896 2.31929075 2.32547524 2.34085481 2.35882397 2.3717434
#> [63,] 2.44075719 2.42105035 2.41591018 2.42139385 2.43150534 2.4389694
#> [64,] 2.54654595 2.51421464 2.49690538 2.49159123 2.49302710 2.4944481
#> [65,] 2.64479489 2.59954786 2.56954845 2.55278989 2.54490917 2.5397953
#> [66,] 2.73623349 2.67823019 2.63542334 2.60690928 2.58932241 2.5773408
#> [67,] 2.82181394 2.75172097 2.69645612 2.65627669 2.62890930 2.6099429
#> [68,] 2.90257141 2.82159447 2.75472754 2.70341892 2.66655819 2.6407488
#> [69,] 2.97947744 2.88936672 2.81227398 2.75083913 2.70515871 2.6729332
#> [70,] 3.05330150 2.95633116 2.87089815 2.80080379 2.74736691 2.7094433
#> [71,] 3.12449308 3.02341809 2.93200711 2.85516061 2.79540480 2.7527831
#> [72,] 3.19309349 3.09108759 2.99648895 2.91520128 2.85091102 2.8048531
#> [73,] 3.25868240 3.15926048 3.06463266 2.98157387 2.91484899 2.8668570
#> [74,] 3.32036152 3.22728771 3.13608934 3.05424187 2.98746861 2.9392702
#> [75,] 3.37677636 3.29395602 3.20986936 3.13248054 3.06830931 3.0218557
#> [76,] 3.42617669 3.35752775 3.28436896 3.21489934 3.15622774 3.1137062
#> [77,] 3.46651650 3.41581420 3.35742216 3.29948111 3.24943472 3.2132899
#> [78,] 3.49559455 3.46628410 3.42637802 3.38363379 3.34553109 3.3184829
#> [79,] 3.51123411 3.50621051 3.48820780 3.46425805 3.44154187 3.4265798
#> [80,] 3.51149708 3.53285790 3.53964933 3.53784078 3.53395806 3.5342899
#> [81,] 3.49492034 3.54370764 3.57739578 3.60058856 3.61880466 3.6377382
#> [82,] 3.46075461 3.53671257 3.59833112 3.64861480 3.69175775 3.7324987
#> [83,] 3.40917809 3.51056194 3.59980632 3.67818836 3.74833228 3.8136968
#> [84,] NA 3.46492933 3.57993894 3.68604076 3.78415406 3.8762080
#> [85,] NA NA 3.53790739 3.66971516 3.79531521 3.9149728
#> [86,] NA NA NA 3.62792508 3.77879448 3.9254265
#> [87,] NA NA NA NA 3.73290352 3.9040195
#> [88,] NA NA NA NA NA 3.8487774
#> [89,] NA NA NA NA NA NA
#> [90,] NA NA NA NA NA NA
#> [91,] NA NA NA NA NA NA
#> [92,] NA NA NA NA NA NA
#> [93,] NA NA NA NA NA NA
#> [94,] NA NA NA NA NA NA
#> [95,] NA NA NA NA NA NA
#> [96,] NA NA NA NA NA NA
#> [97,] NA NA NA NA NA NA
#> [98,] NA NA NA NA NA NA
#> [99,] NA NA NA NA NA NA
#> [100,] NA NA NA NA NA NA
#> [,20] [,21] [,22] [,23] [,24] [,25]
#> [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 0.427632003 0.49860654
#> [10,] NA NA NA 0.30273377 0.367554157 0.43616890
#> [11,] NA 0.136396351 0.19019547 0.24816058 0.309885056 0.37500839
#> [12,] 0.043850960 0.090731584 0.14159628 0.19607529 0.253831267 0.31458518
#> [13,] 0.004508781 0.048406254 0.09570633 0.14608536 0.199262894 0.25502059
#> [14,] 0.000000000 0.009018718 0.05237359 0.09828707 0.146516054 0.19687883
#> [15,] 0.000000000 0.000000000 0.01177225 0.05306506 0.096178026 0.14094464
#> [16,] 0.000000000 0.000000000 0.00000000 0.01090315 0.048895153 0.08803133
#> [17,] 0.000000000 0.000000000 0.00000000 0.00000000 0.005226054 0.03883698
#> [18,] 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
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#> [21,] 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
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#> [25,] 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
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#> [38,] 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [39,] 0.000000000 0.000000000 0.00000000 0.00000000 0.000000000 0.00000000
#> [40,] 0.000000000 0.011217936 0.02195876 0.02897026 0.032639710 0.03352163
#> [41,] 0.063579380 0.080024794 0.09192491 0.09941074 0.102961010 0.10324676
#> [42,] 0.138674602 0.156845845 0.16962769 0.17720191 0.180154307 0.17929317
#> [43,] 0.221522610 0.241139413 0.25440497 0.26155916 0.263309970 0.26062407
#> [44,] 0.311578335 0.332242017 0.34547527 0.35158159 0.351405000 0.34609151
#> [45,] 0.408230311 0.429433621 0.44201192 0.44633521 0.443395230 0.43453753
#> [46,] 0.510858322 0.532004698 0.54321984 0.54493954 0.538312130 0.52490114
#> [47,] 0.618881772 0.639313632 0.64840238 0.64664459 0.635350064 0.61631619
#> [48,] 0.731788294 0.750822851 0.75700578 0.75088419 0.733929361 0.70818467
#> [49,] 0.849134188 0.866104259 0.86863049 0.85729435 0.833722682 0.80021183
#> [50,] 0.970512520 0.984808888 0.98300365 0.96568979 0.934636839 0.89239452
#> [51,] 1.095490498 1.106601867 1.09991290 1.07599821 1.036749071 0.98496091
#> [52,] 1.223524279 1.231070791 1.21910966 1.18815989 1.140204665 1.07826780
#> [53,] 1.353865462 1.357622127 1.34019641 1.30200731 1.245090529 1.17266987
#> [54,] 1.485477793 1.485385127 1.46251830 1.41714534 1.351305315 1.26838140
#> [55,] 1.616984032 1.613144529 1.58508134 1.53285517 1.458449732 1.36535421
#> [56,] 1.746660790 1.739321476 1.70651798 1.64804375 1.565759845 1.46319531
#> [57,] 1.872493289 1.862016328 1.82511541 1.76125561 1.672101215 1.56114305
#> [58,] 1.992293250 1.979118148 1.93891286 1.87075485 1.776033170 1.65811224
#> [59,] 2.103872574 2.088474715 2.04586322 1.97467408 1.875941537 1.75280812
#> [60,] 2.205255101 2.188105957 2.14404286 2.07121542 1.970226415 1.84389730
#> [61,] 2.294900316 2.276434514 2.23188358 2.15887861 2.057521158 1.93021326
#> [62,] 2.371908154 2.352501644 2.30839485 2.23668411 2.136911399 2.01096652
#> [63,] 2.436174160 2.416136030 2.37334257 2.30435753 2.208120229 2.08592598
#> [64,] 2.488469534 2.468047825 2.42735497 2.36244442 2.271628307 2.15554031
#> [65,] 2.530430333 2.509829802 2.47193566 2.41233378 2.328705574 2.22097500
#> [66,] 2.564452906 2.543860561 2.50937621 2.45618077 2.381343503 2.28405262
#> [67,] 2.593506337 2.573119101 2.54257622 2.49673437 2.432091564 2.34709809
#> [68,] 2.620884931 2.600933465 2.57479238 2.53709046 2.483816681 2.41270574
#> [69,] 2.649932335 2.630696056 2.60934955 2.58040276 2.539417337 2.48345887
#> [70,] 2.683772226 2.665582892 2.64935282 2.62959163 2.601532489 2.56164130
#> [71,] 2.725077808 2.708312429 2.69743894 2.68709138 2.672287716 2.64898461
#> [72,] 2.775904091 2.760971782 2.75559871 2.75467104 2.753116365 2.74649126
#> [73,] 2.837594519 2.824925305 2.82508901 2.83335112 2.844681895 2.85436304
#> [74,] 2.910759282 2.900804942 2.90643664 2.92342176 2.946910715 2.97204833
#> [75,] 2.995309381 2.988566198 2.99951877 3.02454906 3.059124832 3.09840055
#> [76,] 3.090521012 3.087581248 3.10368964 3.13593867 3.180243979 3.23191932
#> [77,] 3.195101216 3.196734161 3.21791345 3.25651266 3.309011032 3.37102689
#> [78,] 3.307229191 3.314484319 3.34086182 3.38505122 3.444185979 3.51432052
#> [79,] 3.424557800 3.438873259 3.47094098 3.52025435 3.584654873 3.66073906
#> [80,] 3.544174970 3.567466038 3.60622979 3.66069381 3.729412229 3.80959108
#> [81,] 3.662541868 3.697238396 3.74433143 3.80464754 3.877397411 3.96041212
#> [82,] 3.775440276 3.824441446 3.88216628 3.94983661 4.027194960 4.11264935
#> [83,] 3.877972032 3.944492381 4.01575619 4.09311289 4.176641235 4.26520687
#> [84,] 3.964655692 4.051948861 4.14006679 4.23016886 4.322409703 4.41592097
#> [85,] 4.029658291 4.140623568 4.24898046 4.35535526 4.459669290 4.56106441
#> [86,] 4.067183049 4.203882562 4.33546608 4.46169263 4.581919259 4.69499635
#> [87,] 4.072008378 4.235146714 4.39199059 4.54114843 4.681096638 4.81007610
#> [88,] 4.040141903 4.228581244 4.41118369 4.58521947 4.748026146 4.89693934
#> [89,] 3.969518672 4.179917078 4.38672138 4.58581358 4.773237720 4.94519549
#> [90,] NA 4.087303647 4.31434134 4.53636515 4.748115086 4.94454260
#> [91,] NA NA NA 4.43305411 4.666265133 4.88621801
#> [92,] NA NA NA NA 4.524920871 4.76461385
#> [93,] NA NA NA NA NA NA
#> [94,] NA NA NA NA NA NA
#> [95,] NA NA NA NA NA NA
#> [96,] NA NA NA NA NA NA
#> [97,] NA NA NA NA NA NA
#> [98,] NA NA NA NA NA NA
#> [99,] NA NA NA NA NA NA
#> [100,] NA NA NA NA NA NA
#> [,26] [,27] [,28] [,29] [,30] [,31]
#> [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 1.02595483 1.11019776 1.195460762
#> [7,] NA 0.78854870 0.87065477 0.95507273 1.04129152 1.128839281
#> [8,] 0.63961700 0.71892899 0.80111056 0.88571908 0.97235991 1.060647086
#> [9,] 0.57325885 0.65114139 0.73187738 0.81514889 0.90066258 0.988097289
#> [10,] 0.50818103 0.58326558 0.66116555 0.74166595 0.82454836 0.909531338
#> [11,] 0.44323810 0.51435420 0.58819358 0.66461471 0.74344619 0.824425359
#> [12,] 0.37812869 0.44431945 0.51305797 0.58424765 0.65774199 0.733285480
#> [13,] 0.31320772 0.37373078 0.43652686 0.50152283 0.56858468 0.637463453
#> [14,] 0.24925666 0.30358101 0.35980648 0.41787191 0.47765390 0.538918833
#> [15,] 0.18725852 0.23506062 0.28431382 0.33496733 0.38691509 0.439953733
#> [16,] 0.12820638 0.16936462 0.21147709 0.25450947 0.29838504 0.342947618
#> [17,] 0.07295999 0.10754475 0.14257698 0.17804944 0.21392823 0.250119414
#> [18,] 0.02215503 0.05041194 0.07863607 0.10685875 0.13510057 0.163340233
#> [19,] 0.00000000 0.00000000 0.02035835 0.04185176 0.06305121 0.084012160
#> [20,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.013018265
#> [21,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [22,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [23,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [24,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [25,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [26,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [27,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [28,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [29,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [30,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [31,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [32,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [33,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [34,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [35,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [36,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [37,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [38,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [39,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
#> [40,] 0.03219654 0.02914537 0.02466077 0.01880825 0.01143992 0.002253246
#> [41,] 0.10096510 0.09669226 0.09078048 0.08331387 0.07412564 0.062867966
#> [42,] 0.17545563 0.16933691 0.16137107 0.15167996 0.14009335 0.126229491
#> [43,] 0.25450367 0.24578986 0.23502501 0.22239320 0.20774187 0.190672160
#> [44,] 0.33683485 0.32465186 0.31022432 0.29382878 0.27535763 0.254417733
#> [45,] 0.42117467 0.40453185 0.38546587 0.36438175 0.34125062 0.315714024
#> [46,] 0.50636544 0.48417336 0.45939639 0.43260944 0.40390229 0.372986210
#> [47,] 0.59147480 0.56257333 0.53094069 0.49736770 0.46210808 0.424983486
#> [48,] 0.67587942 0.63907597 0.59940510 0.55792283 0.51509634 0.470902716
#> [49,] 0.75930945 0.71342674 0.66454068 0.61402313 0.56260684 0.510472513
#> [50,] 0.84184426 0.78577598 0.72655480 0.66591830 0.60491728 0.543985757
#> [51,] 0.92385680 0.85662894 0.78606754 0.71432233 0.64281281 0.572275363
#> [52,] 1.00591226 0.92674709 0.84401686 0.76032363 0.67750166 0.596636113
#> [53,] 1.08863477 0.99701417 0.90152556 0.80525436 0.71048852 0.618703314
#> [54,] 1.17256250 1.06828652 0.95974904 0.85053786 0.74342355 0.640305585
#> [55,] 1.25801491 1.14125167 1.01972745 0.89753676 0.77794921 0.663313034
#> [56,] 1.34499592 1.21631890 1.08226582 0.94742528 0.81556765 0.689502734
#> [57,] 1.43315261 1.29356153 1.14786201 1.00110548 0.85754811 0.720460586
#> [58,] 1.52180069 1.37272348 1.21669576 1.05918087 0.90488787 0.757532615
#> [59,] 1.61001828 1.45329245 1.28868187 1.12199125 0.95833104 0.801830512
#> [60,] 1.69679747 1.53463074 1.36358023 1.18970267 1.01844009 0.854286935
#> [61,] 1.78123303 1.61614492 1.44114517 1.26243652 1.08570547 0.915747179
#> [62,] 1.86271963 1.69746705 1.52128885 1.34041402 1.16067123 0.987076685
#> [63,] 1.94112524 1.77861666 1.60422906 1.42408819 1.24405030 1.069259555
#> [64,] 2.01690975 1.86011304 1.69059216 1.51423514 1.33680255 1.163462659
#> [65,] 2.09116418 1.94301316 1.78144678 1.61198083 1.44015275 1.271043251
#> [66,] 2.16555667 2.02886090 1.87825330 1.71874833 1.55553308 1.393485179
#> [67,] 2.24218551 2.11954592 1.98272651 1.83612173 1.68444622 1.532259090
#> [68,] 2.32335407 2.21708577 2.09662317 1.96563728 1.82825788 1.688614396
#> [69,] 2.41129674 2.32335810 2.22147983 2.10852520 1.98794083 1.863323773
#> [70,] 2.50789473 2.43982136 2.35833779 2.26543791 2.16380475 2.056412819
#> [71,] 2.61442598 2.56726772 2.50749893 2.43620761 2.35525409 2.266916408
#> [72,] 2.73139093 2.70565197 2.66835692 2.61967858 2.56061956 2.492707334
#> [73,] 2.85844732 2.85403176 2.83934184 2.81365418 2.77710521 2.730440628
#> [74,] 2.99447086 3.01064037 3.01800275 3.01498663 3.00088198 2.975647390
#> [75,] 3.13773830 3.17309225 3.20123294 3.21981826 3.22734094 3.222995152
#> [76,] 3.28620668 3.33869840 3.38561845 3.42395927 3.45149530 3.466708653
#> [77,] 3.43784163 3.50484584 3.56786631 3.62336108 3.66849414 3.701117951
#> [78,] 3.59093212 3.66937632 3.74524720 3.81462089 3.87418487 3.921273481
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#> [82,] 1.81023464 1.74301540 1.66563722 1.576838510 1.47630079 1.36464614
#> [83,] 1.97226856 1.89904896 1.81384092 1.715660791 1.60452916 1.48144670
#> [84,] 2.11626701 2.03721174 1.94444043 1.837307953 1.71621895 1.58257880
#> [85,] 2.23689571 2.15231791 2.05251943 1.937236605 1.80728150 1.66446582
#> [86,] 2.33007562 2.24046191 2.13446022 2.012208666 1.87492424 1.72479933
#> [87,] 2.39336964 2.29939783 2.18830477 2.060624207 1.91794743 1.76279391
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#> [89,] 2.43018400 2.33029983 2.21336425 2.080571467 1.93405956 1.77674063
#> [90,] 2.40854544 2.30743696 2.19009599 2.057930314 1.91320486 1.75886035
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#> [92,] 2.30938758 2.20972950 2.09674682 1.971956541 1.83752553 1.69608867
#> [93,] 2.24434991 2.14731623 2.03880686 1.920227638 1.79352731 1.66102701
#> [94,] 2.17743996 2.08412667 1.98124572 1.869994673 1.75201408 1.62923518
#> [95,] 2.11418278 2.02546770 1.92898778 1.825657889 1.71674918 1.60376032
#> [96,] 2.05893837 1.97542651 1.88569314 1.790326533 1.69020220 1.58638113
#> [97,] 2.01465842 1.93664056 1.85355543 1.765655573 1.67343198 1.57754044
#> [98,] 1.98275946 1.91017575 1.83319675 NA NA NA
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#> [,68] [,69] [,70] [,71] [,72] [,73]
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#> [2,] NA NA NA NA NA NA
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#> [4,] NA NA NA NA NA NA
#> [5,] 4.65598348 4.83028595 NA NA NA NA
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#> [7,] 3.87107543 4.05845674 4.236312267 4.400943300 4.548867627 4.676933513
#> [8,] 3.48167138 3.66478545 3.842344213 4.011052267 4.167710513 4.309300894
#> [9,] 3.12601681 3.29947370 3.470340629 3.635875830 3.793366469 3.940181415
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#> [13,] 2.23649896 2.35706442 2.476117547 2.592953579 2.707047154 2.818026988
#> [14,] 2.14009942 2.25191677 2.360668716 2.465850473 2.567220459 2.664774726
#> [15,] 2.07694566 2.18344821 2.285121682 2.381509320 2.472496448 2.558291217
#> [16,] 2.03609276 2.14070870 2.238753529 2.329684087 2.413365769 2.490064465
#> [17,] 2.00741099 2.11321309 2.210902709 2.299743209 2.379456149 2.450227526
#> [18,] 1.98233164 2.09179971 2.191934866 2.281731993 2.360675065 2.428759356
#> [19,] 1.95418385 2.06907407 2.173797105 2.267036773 2.347978390 2.416347219
#> [20,] 1.91820873 2.03951236 2.150219890 2.248691541 2.333784448 2.404906648
#> [21,] 1.87136202 1.99933104 2.116665115 2.221414235 2.312106002 2.387813723
#> [22,] 1.81201491 1.94623311 2.070129013 2.181476696 2.278496521 2.359935256
#> [23,] 1.73964175 1.87912385 2.008895102 2.126504057 2.229904813 2.317546784
#> [24,] 1.65455207 1.79785830 1.932304142 2.055274172 2.164511049 2.258212207
#> [25,] 1.55769099 1.70304952 1.840574698 1.967555391 2.081586842 2.180671493
#> [26,] 1.45050488 1.59593728 1.734677820 1.863990358 1.981391613 2.084753304
#> [27,] 1.33485154 1.47829781 1.616248330 1.746011081 1.865093918 1.971305269
#> [28,] 1.21292737 1.35236701 1.487505684 1.615759424 1.734693738 1.842120466
#> [29,] 1.08718742 1.22075195 1.351158699 1.475987163 1.592920313 1.699835669
#> [30,] 0.96024321 1.08631487 1.210277560 1.329918369 1.443087755 1.547783378
#> [31,] 0.83473571 0.95202663 1.068129468 1.181069835 1.288903423 1.389791851
#> [32,] 0.71319116 0.82079801 0.927986894 1.033038540 1.134237766 1.229941214
#> [33,] 0.59787532 0.69530605 0.792926684 0.889275292 0.982875225 1.072295268
#> [34,] 0.49066426 0.57783571 0.665642477 0.752868772 0.838271810 0.920635524
#> [35,] 0.39294786 0.47015578 0.548291918 0.626363838 0.703345301 0.778225164
#> [36,] 0.30557759 0.37344284 0.442394939 0.511632931 0.580319429 0.647626597
#> [37,] 0.22886265 0.28825955 0.348791662 0.409811535 0.470635469 0.530588519
#> [38,] 0.16261209 0.21458603 0.267660151 0.321299759 0.374935387 0.428008876
#> [39,] 0.10621450 0.15189623 0.198586861 0.245823934 0.293111840 0.339970720
#> [40,] 0.05874351 0.09926729 0.140677349 0.182546044 0.224413402 0.265840228
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#>
#> attr(,"class")
#> [1] "list" "sph_density"