extcoeffemp: Non parametric estimators of the extremal coefficient...
In SpatialExtremes: Modelling Spatial Extremes
Description
Usage
Arguments
Details
Value
Author(s)
References
See Also
Examples
Description
Estimates non parametrically the extremal coefficient
function.
Usage
1
2
3
Arguments
data
A matrix representing the data. Each column corresponds to
one location.
coord
A matrix that gives the coordinates of each
location. Each row corresponds to one location.
...
Additional options to be passed to the plot
function.
estim
Character string specifying the estimator to be
used. Must be one of "ST" (Schlather and Tawn) or "Smith".
marge
Character string specifying how margins are transformed
to unit Frechet. Must be one of "emp", "mle" or "none" - see
Details
prob
The probability related to the threshold. Only useful with
the ST estimator.
plot
Logical. If TRUE (default), the extremal
coefficient function is plotted
loess
If TRUE (default), a local polynomial curve is
plotted - see function loess.
method
The optimizer used when fitting the GEV distribution to
data. See function gevmle.
std.err
Logical. If TRUE, standard errors are
computed. Note that standard errors are not available with the "ST"
estimator.
xlab,ylab
The x-axis and y-axis labels. May be missing.
angles
A numeric vector. A partition of the interval
(-π, π) to help detecting anisotropy.
identify
Logical. If TRUE, users can use the
identify function to identify pairs of stations on the
plot.
Details
During the estimation procedure, data need to be transformed to unit
Frechet margins firts. This can be done in two different ways ; by
using the empirical CDF or the GEV ML estimates.
If marge = "emp", then the data are transformed using the
following relation:
z_i = - 1 / log(F(y_i))
where y_i are the observations available at location
i, F is the empirical CDF and z_i are the
observations transformed to unit Frechet scale.
If marge = "mle", then the data are transformed using the MLE
of the GEV distribution - see function gev2frech.
Lastly, if data are already supposed to be unit Frechet, then no
transformation is performed if one passed the option marge =
"frech".
If data are already componentwise maxima, prob should be
zero. Otherwise, users have to define a threshold z (large
enough) where univariate extreme value arguments are relevant. We
define prob such that Pr[Z <= z] =
prob.
Value
Plots the extremal coefficient function and returns the points used
for the plot. If loess = TRUE, the output is a list with
argument "ext.coeff" and "loess".
Author(s)
Mathieu Ribatet
References
Schlather, M. and Tawn, J. A. (2003) A dependence measure for
multivariate and spatial extreme values: Properties and
inference. Biometrika 90(1):139–156.
Smith, R. L. (1990) Max-stable processes and spatial
extremes. Unpublished manuscript.
See Also
Examples
1
2
3
4
5
6
7
8
9
10
11
12
13
n.site <- 30
locations <- matrix(runif(2*n.site, 0, 10), ncol = 2)
colnames(locations) <- c("lon", "lat")
##Simulate a max-stable process - with unit Frechet margins
data <- rmaxstab(50, locations, cov.mod = "gauss", cov11 = 10, cov12 =
40, cov22 = 220)
##Plot the extremal coefficient function
op <- par(mfrow=c(1,2))
fitextcoeff(data, locations, estim = "Smith")
fitextcoeff(data, locations, angles = seq(-pi, pi, length = 4), estim = "Smith")
par(op)
Example output
$ext.coeff
distance ext.coeff std.err
[1,] 4.4108757 1.444617 0.07061842
[2,] 2.0550186 1.506493 0.09487240
[3,] 6.4139327 1.746838 0.12816701
[4,] 3.0220809 1.470848 0.10167914
[5,] 3.4185584 1.106960 0.02194766
[6,] 5.3893736 1.155159 0.03460055
[7,] 3.7804850 1.885387 0.15376185
[8,] 4.0320756 1.810635 0.14572625
[9,] 4.7002583 1.941446 0.17640419
[10,] 6.8830736 1.774492 0.14996905
[11,] 2.5828987 1.575780 0.09646243
[12,] 1.2770819 1.123890 0.02315634
[13,] 5.9564435 2.001243 0.20349180
[14,] 4.3979508 1.347780 0.07210881
[15,] 6.8884884 1.828691 0.13918613
[16,] 1.2937329 1.256140 0.05661280
[17,] 6.2918380 1.525516 0.09061400
[18,] 5.5313561 1.816784 0.13604792
[19,] 1.9882486 1.426671 0.10308756
[20,] 7.8928784 1.260343 0.06908799
[21,] 5.5806485 2.231681 0.18841097
[22,] 1.4521801 1.198912 0.05231554
[23,] 0.5694458 1.105726 0.02015083
[24,] 4.5661542 1.980832 0.19070168
[25,] 5.6383817 2.263733 0.18642361
[26,] 6.6872729 1.614019 0.11032432
[27,] 1.8055222 1.194942 0.04699823
[28,] 7.2313203 1.248590 0.03532047
[29,] 1.7143260 1.328391 0.06607430
[30,] 3.5782210 1.190021 0.03032447
[31,] 4.9746580 1.874501 0.14274913
[32,] 4.2740285 1.781906 0.14407471
[33,] 1.8480783 1.521955 0.08169545
[34,] 2.0382080 1.529647 0.07643259
[35,] 7.2391600 1.879942 0.15936091
[36,] 5.4819245 1.884144 0.15829558
[37,] 5.7045529 1.835802 0.17905985
[38,] 2.8264896 1.557126 0.11522975
[39,] 5.5720704 1.249281 0.03696846
[40,] 5.4463001 1.382930 0.06184694
[41,] 6.1188226 1.769919 0.16708070
[42,] 3.2174644 1.728802 0.13549570
[43,] 3.0951768 1.702854 0.11301786
[44,] 5.4363991 1.694133 0.12592112
[45,] 1.8964928 1.160037 0.04117852
[46,] 3.0616658 1.693199 0.10792088
[47,] 3.1172015 1.141162 0.03012215
[48,] 4.5554730 1.715030 0.13191199
[49,] 8.6453600 1.856803 0.12882308
[50,] 3.9182813 1.620539 0.11183349
[51,] 3.8444123 1.388918 0.06558509
[52,] 6.4756686 1.795599 0.17874092
[53,] 7.4644967 1.808612 0.13226419
[54,] 2.2814359 1.326505 0.05960092
[55,] 6.2066760 1.594305 0.09585377
[56,] 3.2484443 1.394309 0.05439634
[57,] 4.5744563 1.739749 0.13708071
[58,] 7.1875929 1.900755 0.13836849
[59,] 4.4310417 1.811752 0.16157009
[60,] 3.5470963 1.590706 0.11155622
[61,] 5.2213952 1.599110 0.11394772
[62,] 5.8338627 1.944346 0.18611651
[63,] 5.6558144 1.963127 0.19415107
[64,] 6.2358332 1.877899 0.16899286
[65,] 5.4377634 1.526270 0.13435674
[66,] 1.9941494 1.119666 0.02666759
[67,] 2.3509864 1.433093 0.07915291
[68,] 7.2994675 1.802683 0.15098447
[69,] 5.0447610 1.754210 0.16769963
[70,] 5.3044720 1.719397 0.11525259
[71,] 3.3348800 1.726561 0.15879820
[72,] 5.4097003 1.242303 0.04088263
[73,] 3.6611095 1.694518 0.10925926
[74,] 0.5130086 1.127741 0.02231916
[75,] 7.8731133 1.753972 0.14582811
[76,] 7.6228238 1.914693 0.13046087
[77,] 2.9617957 1.667954 0.12470044
[78,] 1.7236857 1.451433 0.07960382
[79,] 6.3663987 1.849141 0.15810638
[80,] 7.4652694 1.864359 0.12609246
[81,] 5.6433816 1.333187 0.06619965
[82,] 3.5539613 1.652271 0.12339095
[83,] 6.7917786 1.480546 0.09951141
[84,] 3.5159806 1.772464 0.16992980
[85,] 3.6204601 1.291734 0.05966095
[86,] 3.7331733 1.813179 0.15317961
[87,] 3.1696471 1.835216 0.16239246
[88,] 6.4434697 1.338373 0.05317143
[89,] 3.5597600 1.216533 0.05738039
[90,] 3.0655288 1.393356 0.06102225
[91,] 7.1527292 2.208573 0.15487293
[92,] 8.7962235 1.899225 0.17181210
[93,] 7.6739802 1.757113 0.13082625
[94,] 2.1807275 1.465133 0.06753757
[95,] 2.1428414 1.430329 0.06779201
[96,] 7.6458559 2.192987 0.15605811
[97,] 6.4739114 1.546942 0.09708248
[98,] 5.1745292 1.860941 0.16544450
[99,] 8.0363051 2.180289 0.14719271
[100,] 6.6941312 1.856633 0.13726267
[101,] 3.0771204 1.645417 0.10626055
[102,] 6.8009485 1.760574 0.11127311
[103,] 4.9919533 1.587695 0.09167315
[104,] 6.1151733 1.741367 0.13129639
[105,] 4.2669158 1.443008 0.05966299
[106,] 4.6167895 1.758091 0.11113381
[107,] 5.7778636 1.938310 0.18220202
[108,] 7.5337932 1.594880 0.09809750
[109,] 4.0967046 1.850051 0.13878255
[110,] 5.0783649 1.434522 0.07062134
[111,] 2.4436904 1.520991 0.11987260
[112,] 3.9481573 1.564837 0.11325146
[113,] 3.3032416 1.531257 0.08619432
[114,] 1.3058459 1.456259 0.08828679
[115,] 1.8077939 1.576194 0.10657707
[116,] 7.0968599 2.119889 0.17176253
[117,] 5.5824678 1.891332 0.15311186
[118,] 4.2016999 1.500165 0.10853401
[119,] 2.9447005 1.629534 0.11707443
[120,] 2.0646317 1.169740 0.03145850
[121,] 7.3561852 2.146886 0.17283095
[122,] 2.8596771 1.284914 0.06338568
[123,] 5.6921997 1.859612 0.15721623
[124,] 6.7797091 2.152320 0.17456140
[125,] 4.0471402 1.762010 0.14353809
[126,] 5.8345439 1.317361 0.06560265
[127,] 4.4245944 1.896801 0.13887787
[128,] 1.5863106 1.314497 0.05654822
[129,] 2.9040712 1.483465 0.10878056
[130,] 2.2336592 1.608787 0.10337800
[131,] 3.2887666 1.935035 0.14262501
[132,] 6.2649967 1.903316 0.16085203
[133,] 3.9177854 1.339899 0.06537331
[134,] 5.8146627 1.628673 0.11627424
[135,] 1.4743697 1.181180 0.02793767
[136,] 1.9766772 1.091632 0.01803704
[137,] 5.5539691 1.896128 0.15907068
[138,] 3.6338522 1.862360 0.16729476
[139,] 3.8759837 1.979118 0.17951958
[140,] 4.6583923 1.802540 0.13351785
[141,] 5.3522223 1.653446 0.11533906
[142,] 4.6535298 1.177176 0.04184303
[143,] 4.4266571 2.044031 0.20721086
[144,] 1.6481667 1.378312 0.07523902
[145,] 4.9431101 1.815551 0.12950518
[146,] 4.1251087 1.275945 0.04908542
[147,] 3.3146724 1.612891 0.09842758
[148,] 4.6381767 1.816559 0.13466725
[149,] 3.0372709 1.501973 0.12466956
[150,] 4.5036738 1.259823 0.06541789
[151,] 6.8523304 2.190214 0.19061499
[152,] 2.4400256 1.211080 0.05270248
[153,] 2.9315024 1.140102 0.03187682
[154,] 4.6289965 2.008574 0.19840351
[155,] 5.6180795 2.221077 0.18589025
[156,] 3.8584654 1.681774 0.11193256
[157,] 5.0609479 1.194223 0.04693660
[158,] 3.8575086 1.233813 0.03488854
[159,] 2.9983799 1.358744 0.07235456
[160,] 7.2405139 1.908019 0.17006042
[161,] 4.8355375 1.889092 0.17129469
[162,] 4.8005843 1.993329 0.17989378
[163,] 3.9947812 1.815165 0.12745496
[164,] 7.1501329 1.659375 0.11697054
[165,] 6.6081685 1.213085 0.04875483
[166,] 4.7708770 2.041278 0.20283036
[167,] 2.0849624 1.432033 0.08531156
[168,] 4.4768372 1.782236 0.12195500
[169,] 6.0769634 1.324825 0.05618669
[170,] 2.0778888 1.618867 0.09401197
[171,] 5.0152431 1.783207 0.12439186
[172,] 4.7140813 1.509463 0.12511101
[173,] 2.6521194 1.282313 0.06963029
[174,] 8.2949254 2.141540 0.20212306
[175,] 4.3749004 1.257788 0.05774139
[176,] 4.8868888 1.172507 0.04148784
[177,] 5.8329280 2.020696 0.19960323
[178,] 6.6417167 2.176076 0.19798322
[179,] 2.6985889 1.685110 0.10155487
[180,] 7.0326365 1.242191 0.05296791
[181,] 1.9124830 1.181248 0.02634701
[182,] 4.8662197 1.419239 0.08117098
[183,] 2.8839880 1.147149 0.01888727
[184,] 3.4567721 1.157262 0.02111648
[185,] 10.0262959 2.037685 0.16966451
[186,] 5.8659388 1.966602 0.17809823
[187,] 4.1233421 1.875943 0.14611136
[188,] 4.7916813 1.254777 0.05606175
[189,] 5.3413549 1.644064 0.10704135
[190,] 10.1760884 2.034742 0.17130557
[191,] 2.5409841 1.730924 0.13239794
[192,] 8.8686257 1.880557 0.14587169
[193,] 9.1399693 2.027730 0.17500541
[194,] 5.7094784 1.925299 0.16716764
[195,] 9.0547647 1.820344 0.14370309
[196,] 1.8383388 1.478060 0.12670868
[197,] 3.3793259 1.731919 0.13379719
[198,] 4.1658830 1.857469 0.14891811
[199,] 2.4016371 1.197442 0.04915223
[200,] 2.9574122 1.461115 0.11972411
[201,] 9.4051284 2.045818 0.15137514
[202,] 2.9294888 1.788634 0.13509199
[203,] 9.1173467 1.905226 0.19624475
[204,] 2.6911679 1.655473 0.11731316
[205,] 0.7159803 1.194652 0.04949876
[206,] 8.2820733 2.092577 0.17004519
[207,] 6.6123432 1.995912 0.18449674
[208,] 5.0725111 1.823496 0.16010359
[209,] 2.1155437 1.301885 0.06030316
[210,] 2.7658937 1.566622 0.10786407
[211,] 8.5767843 2.102568 0.15065506
[212,] 3.4941352 1.668688 0.13023915
[213,] 6.7434793 1.929598 0.14641265
[214,] 8.0782007 2.096207 0.14828477
[215,] 5.3020448 1.922045 0.18454274
[216,] 6.2754668 1.738966 0.12118415
[217,] 3.4920001 1.587314 0.11195141
[218,] 2.7113360 1.668477 0.11439889
[219,] 4.0357004 1.804757 0.15312167
[220,] 1.0106644 1.265240 0.04610470
[221,] 1.9980870 1.582058 0.11088930
[222,] 7.3404340 2.042626 0.14430995
[223,] 4.4778117 1.716566 0.12445020
[224,] 6.5866829 1.933008 0.17833994
[225,] 2.3235772 1.578715 0.12163056
[226,] 8.4518087 2.063702 0.17711965
[227,] 7.2831557 1.904440 0.17307513
[228,] 5.7713367 1.965587 0.16992662
[229,] 1.4084961 1.161741 0.02282988
[230,] 2.7215969 1.675421 0.12634739
[231,] 8.7889110 2.067067 0.15934753
[232,] 4.2080508 1.787935 0.15091390
[233,] 6.7965070 1.903795 0.12873922
[234,] 8.4443567 2.068721 0.16282572
[235,] 5.8548443 1.855593 0.17657164
[236,] 5.9456308 1.875623 0.15213462
[237,] 3.7677419 1.514935 0.11301756
[238,] 3.3330855 1.807255 0.14723149
[239,] 4.6645355 1.942231 0.16849691
[240,] 1.2058179 1.146517 0.02883373
[241,] 1.8411802 1.480773 0.10541368
[242,] 7.4077684 2.073867 0.15422776
[243,] 5.1937071 1.858758 0.15940932
[244,] 6.4403785 1.963870 0.17234075
[245,] 3.0058116 1.700072 0.12737254
[246,] 7.2748512 1.500423 0.12689209
[247,] 7.6917135 1.747746 0.14449547
[248,] 8.6877218 2.013578 0.16305742
[249,] 5.8189695 2.010236 0.20875159
[250,] 0.6116484 1.203938 0.03833575
[251,] 8.0470603 1.984313 0.19525719
[252,] 2.0244507 1.463522 0.09420813
[253,] 2.4660080 1.196980 0.03702653
[254,] 5.1384384 1.610278 0.11617235
[255,] 5.5093018 2.022266 0.20066695
[256,] 11.4694891 2.097448 0.14863462
[257,] 6.6637645 1.905418 0.18246708
[258,] 6.3209458 1.746614 0.12460178
[259,] 9.2836421 2.054790 0.17493679
[260,] 10.2471298 2.064229 0.13506585
[261,] 1.5117757 1.393618 0.08544457
[262,] 8.6772346 1.940154 0.15885794
[263,] 3.7502459 1.712590 0.12687967
[264,] 7.3409333 2.028600 0.19142145
[265,] 1.7436246 1.530076 0.08550894
[266,] 8.5259949 1.857688 0.15003976
[267,] 6.6854787 1.849720 0.14504323
[268,] 7.0601355 1.695743 0.11196439
[269,] 3.4178620 1.818871 0.14046421
[270,] 7.3979098 1.277784 0.06014509
[271,] 5.1963196 1.666632 0.10416166
[272,] 2.4674188 1.204137 0.03078773
[273,] 9.7917356 1.843947 0.15360860
[274,] 7.7001977 1.946397 0.15276410
[275,] 3.9964625 1.753947 0.12831152
[276,] 2.7118140 1.535146 0.08458060
[277,] 7.0941908 1.893402 0.15701844
[278,] 8.1376599 1.892426 0.14205476
[279,] 7.6096867 1.322217 0.05886983
[280,] 3.0085987 1.736613 0.12374093
[281,] 8.7752021 1.542813 0.10197706
[282,] 4.2897612 1.865582 0.14440474
[283,] 7.0901127 1.993955 0.19048509
[284,] 5.6741546 1.388025 0.07995137
[285,] 7.6112060 1.818247 0.12731904
[286,] 1.7010933 1.333905 0.07095216
[287,] 7.3427928 1.471767 0.08910933
[288,] 6.0108818 1.801050 0.12079543
[289,] 2.5579424 1.362250 0.08746319
[290,] 9.1474570 1.323927 0.08546371
[291,] 5.9590618 2.191215 0.19032682
[292,] 2.6856206 1.268183 0.06813094
[293,] 1.7225662 1.086014 0.01677646
[294,] 5.4478851 1.992391 0.19189380
[295,] 6.4605762 2.238727 0.19810347
[296,] 7.6835875 1.576444 0.11104306
[297,] 1.3322424 1.257306 0.06400849
[298,] 8.4138378 1.259286 0.03618833
[299,] 2.7784845 1.379872 0.08126997
[300,] 2.9044796 1.738812 0.16635029
[301,] 9.1009200 2.030471 0.15673434
[302,] 5.5800572 1.835617 0.17411880
[303,] 6.8475203 1.863656 0.12449579
[304,] 9.0611613 2.035444 0.15514709
[305,] 6.8727962 1.777918 0.16144661
[306,] 5.2536804 1.944634 0.17922250
[307,] 4.7796064 1.454090 0.09673177
[308,] 4.5308386 1.877313 0.17526437
[309,] 5.8451317 1.977086 0.18852327
[310,] 2.4105268 1.110722 0.02202559
[311,] 2.4900490 1.405148 0.08544437
[312,] 7.4686678 2.010766 0.12754713
[313,] 6.5843176 1.929479 0.18805218
[314,] 6.1084888 1.982182 0.18489694
[315,] 4.3117639 1.760490 0.16459623
[316,] 6.2092430 2.077985 0.18311338
[317,] 4.6855307 1.175056 0.04158536
[318,] 4.0824225 1.816034 0.14773808
[319,] 6.2028298 2.078611 0.17965506
[320,] 4.5517846 1.705205 0.15047431
[321,] 3.7792328 1.200184 0.03993702
[322,] 6.2484872 2.000073 0.15047148
[323,] 3.0517271 1.207374 0.03283898
[324,] 4.0417404 1.373666 0.07423328
[325,] 3.7539646 1.722208 0.14334797
[326,] 4.5620982 2.064626 0.15712339
[327,] 4.6976801 1.887170 0.17064283
[328,] 5.7297435 1.260098 0.04030724
[329,] 3.8315804 1.497512 0.09411034
[330,] 3.3168038 1.105586 0.01885462
[331,] 8.0948137 2.062467 0.18509373
[332,] 2.5832939 1.649505 0.11098952
[333,] 2.0382448 1.068496 0.01101197
[334,] 5.0549849 1.746098 0.10578158
[335,] 6.1050870 2.016087 0.17860108
[336,] 11.6787226 2.121699 0.14478797
[337,] 6.7980466 1.974629 0.16869900
[338,] 6.3371936 1.796967 0.13377735
[339,] 9.5683507 2.051931 0.15195979
[340,] 10.5591934 2.109262 0.15478961
[341,] 2.1069542 1.558295 0.09546139
[342,] 8.6610309 1.991714 0.16837996
[343,] 4.3499111 1.711859 0.11872154
[344,] 7.4849321 2.081213 0.17467354
[345,] 7.2636771 1.779916 0.13908065
[346,] 6.8124632 2.076983 0.18888423
[347,] 3.2803111 1.669438 0.14289075
[348,] 8.3985767 1.241500 0.04860658
[349,] 4.3704499 2.035323 0.16568783
[350,] 1.7060518 1.112994 0.02526549
[351,] 1.7820076 1.329165 0.06915071
[352,] 3.7692354 1.811737 0.16667043
[353,] 4.7639225 2.093819 0.17157886
[354,] 7.7127749 1.829074 0.15507682
[355,] 1.0601177 1.124383 0.01733807
[356,] 7.9781059 1.450627 0.08051665
[357,] 1.3973249 1.130315 0.02903099
[358,] 3.7399251 1.621947 0.10845149
[359,] 4.9748334 1.229745 0.05839018
[360,] 3.5723113 1.800192 0.14766856
[361,] 10.1153119 1.795850 0.12604858
[362,] 5.6665844 1.688524 0.12209976
[363,] 5.7286507 1.471099 0.08631017
[364,] 7.7536330 1.890197 0.13242018
[365,] 8.6314611 1.774746 0.12365287
[366,] 0.6212517 1.222323 0.04114352
[367,] 8.0772996 1.684871 0.10744956
[368,] 1.8704687 1.482211 0.07363584
[369,] 6.2805972 1.823399 0.14109937
[370,] 3.5556427 1.721061 0.10287854
[371,] 7.2371566 2.021239 0.18121012
[372,] 10.8025680 2.145141 0.15088306
[373,] 5.8284913 1.990708 0.17255798
[374,] 5.0359288 1.782759 0.12533335
[375,] 9.0014277 2.053561 0.15071169
[376,] 10.0684677 2.120112 0.14521139
[377,] 3.5395206 1.536946 0.09115803
[378,] 7.1928034 2.005248 0.17131961
[379,] 5.6030928 1.706309 0.11455214
[380,] 6.5134030 2.084744 0.17225246
[381,] 7.3650561 1.667631 0.17823979
[382,] 7.4618635 1.904882 0.13868724
[383,] 2.6519201 1.580928 0.14952201
[384,] 1.5436243 1.367959 0.08934423
[385,] 6.0592944 1.811729 0.16014460
[386,] 7.1606089 1.850319 0.13659385
[387,] 5.2401186 1.354797 0.06309999
[388,] 3.6505758 1.561608 0.14287654
[389,] 6.3077900 1.429125 0.08326433
[390,] 3.2581595 1.719926 0.15576629
[391,] 9.7093858 2.115081 0.17498399
[392,] 6.7083396 1.192096 0.04674415
[393,] 7.4294046 1.315115 0.08282597
[394,] 7.1396919 1.896298 0.17034052
[395,] 7.6392334 2.179364 0.18331070
[396,] 3.9987935 1.882743 0.16387859
[397,] 9.4153496 1.242612 0.05810627
[398,] 1.7632511 1.382160 0.05864306
[399,] 7.0673235 1.232539 0.04419260
[400,] 4.9752105 2.053591 0.16348274
[401,] 5.9244473 2.206188 0.19608369
[402,] 2.5698132 1.417643 0.10798459
[403,] 2.3532535 1.125301 0.03328970
[404,] 10.6895479 1.797401 0.14277948
[405,] 4.7368082 2.047736 0.16039430
[406,] 10.0765653 2.063615 0.20249461
[407,] 4.2892377 1.996226 0.15076057
[408,] 1.3314813 1.255878 0.06870162
[409,] 3.4102228 1.823500 0.16637345
[410,] 4.5110944 2.096999 0.16838014
[411,] 6.1553652 1.772647 0.14335193
[412,] 2.7071058 1.099666 0.01964268
[413,] 6.2804236 1.399476 0.06100328
[414,] 0.6922913 1.181980 0.02896623
[415,] 4.6775168 1.976175 0.19276296
[416,] 5.7706615 2.252128 0.20390455
[417,] 6.1192512 1.588629 0.09343500
[418,] 2.3748024 1.247104 0.06324926
[419,] 6.7062602 1.232320 0.02793487
[420,] 1.8054951 1.365321 0.07800802
[421,] 1.1013328 1.381773 0.10341668
[422,] 8.3510572 2.033275 0.14936376
[423,] 4.6285022 1.875060 0.17822458
[424,] 7.5541996 1.974037 0.18803854
[425,] 2.8777070 1.736585 0.14960047
[426,] 9.2402944 1.790282 0.13072597
[427,] 5.5445774 2.104229 0.17195434
[428,] 8.2569002 2.066584 0.22218948
[429,] 3.9669088 2.049954 0.15782160
[430,] 8.4863387 1.755496 0.12643184
[431,] 2.2432731 1.568982 0.09293797
[432,] 6.7874014 1.866838 0.15684971
[433,] 8.9165463 1.391041 0.06173245
[434,] 2.4572977 1.210581 0.02682137
[435,] 6.7786945 1.502892 0.09569923
$loess
Call:
loess(formula = ext.coeff ~ dist)
Number of Observations: 435
Equivalent Number of Parameters: 4.83
Residual Standard Error: 0.2434
$ext.coeff
distance ext.coeff std.err
[1,] 4.4108757 1.444617 0.07061842
[2,] 2.0550186 1.506493 0.09487240
[3,] 6.4139327 1.746838 0.12816701
[4,] 3.0220809 1.470848 0.10167914
[5,] 3.4185584 1.106960 0.02194766
[6,] 5.3893736 1.155159 0.03460055
[7,] 3.7804850 1.885387 0.15376185
[8,] 4.0320756 1.810635 0.14572625
[9,] 4.7002583 1.941446 0.17640419
[10,] 6.8830736 1.774492 0.14996905
[11,] 2.5828987 1.575780 0.09646243
[12,] 1.2770819 1.123890 0.02315634
[13,] 5.9564435 2.001243 0.20349180
[14,] 4.3979508 1.347780 0.07210881
[15,] 6.8884884 1.828691 0.13918613
[16,] 1.2937329 1.256140 0.05661280
[17,] 6.2918380 1.525516 0.09061400
[18,] 5.5313561 1.816784 0.13604792
[19,] 1.9882486 1.426671 0.10308756
[20,] 7.8928784 1.260343 0.06908799
[21,] 5.5806485 2.231681 0.18841097
[22,] 1.4521801 1.198912 0.05231554
[23,] 0.5694458 1.105726 0.02015083
[24,] 4.5661542 1.980832 0.19070168
[25,] 5.6383817 2.263733 0.18642361
[26,] 6.6872729 1.614019 0.11032432
[27,] 1.8055222 1.194942 0.04699823
[28,] 7.2313203 1.248590 0.03532047
[29,] 1.7143260 1.328391 0.06607430
[30,] 3.5782210 1.190021 0.03032447
[31,] 4.9746580 1.874501 0.14274913
[32,] 4.2740285 1.781906 0.14407471
[33,] 1.8480783 1.521955 0.08169545
[34,] 2.0382080 1.529647 0.07643259
[35,] 7.2391600 1.879942 0.15936091
[36,] 5.4819245 1.884144 0.15829558
[37,] 5.7045529 1.835802 0.17905985
[38,] 2.8264896 1.557126 0.11522975
[39,] 5.5720704 1.249281 0.03696846
[40,] 5.4463001 1.382930 0.06184694
[41,] 6.1188226 1.769919 0.16708070
[42,] 3.2174644 1.728802 0.13549570
[43,] 3.0951768 1.702854 0.11301786
[44,] 5.4363991 1.694133 0.12592112
[45,] 1.8964928 1.160037 0.04117852
[46,] 3.0616658 1.693199 0.10792088
[47,] 3.1172015 1.141162 0.03012215
[48,] 4.5554730 1.715030 0.13191199
[49,] 8.6453600 1.856803 0.12882308
[50,] 3.9182813 1.620539 0.11183349
[51,] 3.8444123 1.388918 0.06558509
[52,] 6.4756686 1.795599 0.17874092
[53,] 7.4644967 1.808612 0.13226419
[54,] 2.2814359 1.326505 0.05960092
[55,] 6.2066760 1.594305 0.09585377
[56,] 3.2484443 1.394309 0.05439634
[57,] 4.5744563 1.739749 0.13708071
[58,] 7.1875929 1.900755 0.13836849
[59,] 4.4310417 1.811752 0.16157009
[60,] 3.5470963 1.590706 0.11155622
[61,] 5.2213952 1.599110 0.11394772
[62,] 5.8338627 1.944346 0.18611651
[63,] 5.6558144 1.963127 0.19415107
[64,] 6.2358332 1.877899 0.16899286
[65,] 5.4377634 1.526270 0.13435674
[66,] 1.9941494 1.119666 0.02666759
[67,] 2.3509864 1.433093 0.07915291
[68,] 7.2994675 1.802683 0.15098447
[69,] 5.0447610 1.754210 0.16769963
[70,] 5.3044720 1.719397 0.11525259
[71,] 3.3348800 1.726561 0.15879820
[72,] 5.4097003 1.242303 0.04088263
[73,] 3.6611095 1.694518 0.10925926
[74,] 0.5130086 1.127741 0.02231916
[75,] 7.8731133 1.753972 0.14582811
[76,] 7.6228238 1.914693 0.13046087
[77,] 2.9617957 1.667954 0.12470044
[78,] 1.7236857 1.451433 0.07960382
[79,] 6.3663987 1.849141 0.15810638
[80,] 7.4652694 1.864359 0.12609246
[81,] 5.6433816 1.333187 0.06619965
[82,] 3.5539613 1.652271 0.12339095
[83,] 6.7917786 1.480546 0.09951141
[84,] 3.5159806 1.772464 0.16992980
[85,] 3.6204601 1.291734 0.05966095
[86,] 3.7331733 1.813179 0.15317961
[87,] 3.1696471 1.835216 0.16239246
[88,] 6.4434697 1.338373 0.05317143
[89,] 3.5597600 1.216533 0.05738039
[90,] 3.0655288 1.393356 0.06102225
[91,] 7.1527292 2.208573 0.15487293
[92,] 8.7962235 1.899225 0.17181210
[93,] 7.6739802 1.757113 0.13082625
[94,] 2.1807275 1.465133 0.06753757
[95,] 2.1428414 1.430329 0.06779201
[96,] 7.6458559 2.192987 0.15605811
[97,] 6.4739114 1.546942 0.09708248
[98,] 5.1745292 1.860941 0.16544450
[99,] 8.0363051 2.180289 0.14719271
[100,] 6.6941312 1.856633 0.13726267
[101,] 3.0771204 1.645417 0.10626055
[102,] 6.8009485 1.760574 0.11127311
[103,] 4.9919533 1.587695 0.09167315
[104,] 6.1151733 1.741367 0.13129639
[105,] 4.2669158 1.443008 0.05966299
[106,] 4.6167895 1.758091 0.11113381
[107,] 5.7778636 1.938310 0.18220202
[108,] 7.5337932 1.594880 0.09809750
[109,] 4.0967046 1.850051 0.13878255
[110,] 5.0783649 1.434522 0.07062134
[111,] 2.4436904 1.520991 0.11987260
[112,] 3.9481573 1.564837 0.11325146
[113,] 3.3032416 1.531257 0.08619432
[114,] 1.3058459 1.456259 0.08828679
[115,] 1.8077939 1.576194 0.10657707
[116,] 7.0968599 2.119889 0.17176253
[117,] 5.5824678 1.891332 0.15311186
[118,] 4.2016999 1.500165 0.10853401
[119,] 2.9447005 1.629534 0.11707443
[120,] 2.0646317 1.169740 0.03145850
[121,] 7.3561852 2.146886 0.17283095
[122,] 2.8596771 1.284914 0.06338568
[123,] 5.6921997 1.859612 0.15721623
[124,] 6.7797091 2.152320 0.17456140
[125,] 4.0471402 1.762010 0.14353809
[126,] 5.8345439 1.317361 0.06560265
[127,] 4.4245944 1.896801 0.13887787
[128,] 1.5863106 1.314497 0.05654822
[129,] 2.9040712 1.483465 0.10878056
[130,] 2.2336592 1.608787 0.10337800
[131,] 3.2887666 1.935035 0.14262501
[132,] 6.2649967 1.903316 0.16085203
[133,] 3.9177854 1.339899 0.06537331
[134,] 5.8146627 1.628673 0.11627424
[135,] 1.4743697 1.181180 0.02793767
[136,] 1.9766772 1.091632 0.01803704
[137,] 5.5539691 1.896128 0.15907068
[138,] 3.6338522 1.862360 0.16729476
[139,] 3.8759837 1.979118 0.17951958
[140,] 4.6583923 1.802540 0.13351785
[141,] 5.3522223 1.653446 0.11533906
[142,] 4.6535298 1.177176 0.04184303
[143,] 4.4266571 2.044031 0.20721086
[144,] 1.6481667 1.378312 0.07523902
[145,] 4.9431101 1.815551 0.12950518
[146,] 4.1251087 1.275945 0.04908542
[147,] 3.3146724 1.612891 0.09842758
[148,] 4.6381767 1.816559 0.13466725
[149,] 3.0372709 1.501973 0.12466956
[150,] 4.5036738 1.259823 0.06541789
[151,] 6.8523304 2.190214 0.19061499
[152,] 2.4400256 1.211080 0.05270248
[153,] 2.9315024 1.140102 0.03187682
[154,] 4.6289965 2.008574 0.19840351
[155,] 5.6180795 2.221077 0.18589025
[156,] 3.8584654 1.681774 0.11193256
[157,] 5.0609479 1.194223 0.04693660
[158,] 3.8575086 1.233813 0.03488854
[159,] 2.9983799 1.358744 0.07235456
[160,] 7.2405139 1.908019 0.17006042
[161,] 4.8355375 1.889092 0.17129469
[162,] 4.8005843 1.993329 0.17989378
[163,] 3.9947812 1.815165 0.12745496
[164,] 7.1501329 1.659375 0.11697054
[165,] 6.6081685 1.213085 0.04875483
[166,] 4.7708770 2.041278 0.20283036
[167,] 2.0849624 1.432033 0.08531156
[168,] 4.4768372 1.782236 0.12195500
[169,] 6.0769634 1.324825 0.05618669
[170,] 2.0778888 1.618867 0.09401197
[171,] 5.0152431 1.783207 0.12439186
[172,] 4.7140813 1.509463 0.12511101
[173,] 2.6521194 1.282313 0.06963029
[174,] 8.2949254 2.141540 0.20212306
[175,] 4.3749004 1.257788 0.05774139
[176,] 4.8868888 1.172507 0.04148784
[177,] 5.8329280 2.020696 0.19960323
[178,] 6.6417167 2.176076 0.19798322
[179,] 2.6985889 1.685110 0.10155487
[180,] 7.0326365 1.242191 0.05296791
[181,] 1.9124830 1.181248 0.02634701
[182,] 4.8662197 1.419239 0.08117098
[183,] 2.8839880 1.147149 0.01888727
[184,] 3.4567721 1.157262 0.02111648
[185,] 10.0262959 2.037685 0.16966451
[186,] 5.8659388 1.966602 0.17809823
[187,] 4.1233421 1.875943 0.14611136
[188,] 4.7916813 1.254777 0.05606175
[189,] 5.3413549 1.644064 0.10704135
[190,] 10.1760884 2.034742 0.17130557
[191,] 2.5409841 1.730924 0.13239794
[192,] 8.8686257 1.880557 0.14587169
[193,] 9.1399693 2.027730 0.17500541
[194,] 5.7094784 1.925299 0.16716764
[195,] 9.0547647 1.820344 0.14370309
[196,] 1.8383388 1.478060 0.12670868
[197,] 3.3793259 1.731919 0.13379719
[198,] 4.1658830 1.857469 0.14891811
[199,] 2.4016371 1.197442 0.04915223
[200,] 2.9574122 1.461115 0.11972411
[201,] 9.4051284 2.045818 0.15137514
[202,] 2.9294888 1.788634 0.13509199
[203,] 9.1173467 1.905226 0.19624475
[204,] 2.6911679 1.655473 0.11731316
[205,] 0.7159803 1.194652 0.04949876
[206,] 8.2820733 2.092577 0.17004519
[207,] 6.6123432 1.995912 0.18449674
[208,] 5.0725111 1.823496 0.16010359
[209,] 2.1155437 1.301885 0.06030316
[210,] 2.7658937 1.566622 0.10786407
[211,] 8.5767843 2.102568 0.15065506
[212,] 3.4941352 1.668688 0.13023915
[213,] 6.7434793 1.929598 0.14641265
[214,] 8.0782007 2.096207 0.14828477
[215,] 5.3020448 1.922045 0.18454274
[216,] 6.2754668 1.738966 0.12118415
[217,] 3.4920001 1.587314 0.11195141
[218,] 2.7113360 1.668477 0.11439889
[219,] 4.0357004 1.804757 0.15312167
[220,] 1.0106644 1.265240 0.04610470
[221,] 1.9980870 1.582058 0.11088930
[222,] 7.3404340 2.042626 0.14430995
[223,] 4.4778117 1.716566 0.12445020
[224,] 6.5866829 1.933008 0.17833994
[225,] 2.3235772 1.578715 0.12163056
[226,] 8.4518087 2.063702 0.17711965
[227,] 7.2831557 1.904440 0.17307513
[228,] 5.7713367 1.965587 0.16992662
[229,] 1.4084961 1.161741 0.02282988
[230,] 2.7215969 1.675421 0.12634739
[231,] 8.7889110 2.067067 0.15934753
[232,] 4.2080508 1.787935 0.15091390
[233,] 6.7965070 1.903795 0.12873922
[234,] 8.4443567 2.068721 0.16282572
[235,] 5.8548443 1.855593 0.17657164
[236,] 5.9456308 1.875623 0.15213462
[237,] 3.7677419 1.514935 0.11301756
[238,] 3.3330855 1.807255 0.14723149
[239,] 4.6645355 1.942231 0.16849691
[240,] 1.2058179 1.146517 0.02883373
[241,] 1.8411802 1.480773 0.10541368
[242,] 7.4077684 2.073867 0.15422776
[243,] 5.1937071 1.858758 0.15940932
[244,] 6.4403785 1.963870 0.17234075
[245,] 3.0058116 1.700072 0.12737254
[246,] 7.2748512 1.500423 0.12689209
[247,] 7.6917135 1.747746 0.14449547
[248,] 8.6877218 2.013578 0.16305742
[249,] 5.8189695 2.010236 0.20875159
[250,] 0.6116484 1.203938 0.03833575
[251,] 8.0470603 1.984313 0.19525719
[252,] 2.0244507 1.463522 0.09420813
[253,] 2.4660080 1.196980 0.03702653
[254,] 5.1384384 1.610278 0.11617235
[255,] 5.5093018 2.022266 0.20066695
[256,] 11.4694891 2.097448 0.14863462
[257,] 6.6637645 1.905418 0.18246708
[258,] 6.3209458 1.746614 0.12460178
[259,] 9.2836421 2.054790 0.17493679
[260,] 10.2471298 2.064229 0.13506585
[261,] 1.5117757 1.393618 0.08544457
[262,] 8.6772346 1.940154 0.15885794
[263,] 3.7502459 1.712590 0.12687967
[264,] 7.3409333 2.028600 0.19142145
[265,] 1.7436246 1.530076 0.08550894
[266,] 8.5259949 1.857688 0.15003976
[267,] 6.6854787 1.849720 0.14504323
[268,] 7.0601355 1.695743 0.11196439
[269,] 3.4178620 1.818871 0.14046421
[270,] 7.3979098 1.277784 0.06014509
[271,] 5.1963196 1.666632 0.10416166
[272,] 2.4674188 1.204137 0.03078773
[273,] 9.7917356 1.843947 0.15360860
[274,] 7.7001977 1.946397 0.15276410
[275,] 3.9964625 1.753947 0.12831152
[276,] 2.7118140 1.535146 0.08458060
[277,] 7.0941908 1.893402 0.15701844
[278,] 8.1376599 1.892426 0.14205476
[279,] 7.6096867 1.322217 0.05886983
[280,] 3.0085987 1.736613 0.12374093
[281,] 8.7752021 1.542813 0.10197706
[282,] 4.2897612 1.865582 0.14440474
[283,] 7.0901127 1.993955 0.19048509
[284,] 5.6741546 1.388025 0.07995137
[285,] 7.6112060 1.818247 0.12731904
[286,] 1.7010933 1.333905 0.07095216
[287,] 7.3427928 1.471767 0.08910933
[288,] 6.0108818 1.801050 0.12079543
[289,] 2.5579424 1.362250 0.08746319
[290,] 9.1474570 1.323927 0.08546371
[291,] 5.9590618 2.191215 0.19032682
[292,] 2.6856206 1.268183 0.06813094
[293,] 1.7225662 1.086014 0.01677646
[294,] 5.4478851 1.992391 0.19189380
[295,] 6.4605762 2.238727 0.19810347
[296,] 7.6835875 1.576444 0.11104306
[297,] 1.3322424 1.257306 0.06400849
[298,] 8.4138378 1.259286 0.03618833
[299,] 2.7784845 1.379872 0.08126997
[300,] 2.9044796 1.738812 0.16635029
[301,] 9.1009200 2.030471 0.15673434
[302,] 5.5800572 1.835617 0.17411880
[303,] 6.8475203 1.863656 0.12449579
[304,] 9.0611613 2.035444 0.15514709
[305,] 6.8727962 1.777918 0.16144661
[306,] 5.2536804 1.944634 0.17922250
[307,] 4.7796064 1.454090 0.09673177
[308,] 4.5308386 1.877313 0.17526437
[309,] 5.8451317 1.977086 0.18852327
[310,] 2.4105268 1.110722 0.02202559
[311,] 2.4900490 1.405148 0.08544437
[312,] 7.4686678 2.010766 0.12754713
[313,] 6.5843176 1.929479 0.18805218
[314,] 6.1084888 1.982182 0.18489694
[315,] 4.3117639 1.760490 0.16459623
[316,] 6.2092430 2.077985 0.18311338
[317,] 4.6855307 1.175056 0.04158536
[318,] 4.0824225 1.816034 0.14773808
[319,] 6.2028298 2.078611 0.17965506
[320,] 4.5517846 1.705205 0.15047431
[321,] 3.7792328 1.200184 0.03993702
[322,] 6.2484872 2.000073 0.15047148
[323,] 3.0517271 1.207374 0.03283898
[324,] 4.0417404 1.373666 0.07423328
[325,] 3.7539646 1.722208 0.14334797
[326,] 4.5620982 2.064626 0.15712339
[327,] 4.6976801 1.887170 0.17064283
[328,] 5.7297435 1.260098 0.04030724
[329,] 3.8315804 1.497512 0.09411034
[330,] 3.3168038 1.105586 0.01885462
[331,] 8.0948137 2.062467 0.18509373
[332,] 2.5832939 1.649505 0.11098952
[333,] 2.0382448 1.068496 0.01101197
[334,] 5.0549849 1.746098 0.10578158
[335,] 6.1050870 2.016087 0.17860108
[336,] 11.6787226 2.121699 0.14478797
[337,] 6.7980466 1.974629 0.16869900
[338,] 6.3371936 1.796967 0.13377735
[339,] 9.5683507 2.051931 0.15195979
[340,] 10.5591934 2.109262 0.15478961
[341,] 2.1069542 1.558295 0.09546139
[342,] 8.6610309 1.991714 0.16837996
[343,] 4.3499111 1.711859 0.11872154
[344,] 7.4849321 2.081213 0.17467354
[345,] 7.2636771 1.779916 0.13908065
[346,] 6.8124632 2.076983 0.18888423
[347,] 3.2803111 1.669438 0.14289075
[348,] 8.3985767 1.241500 0.04860658
[349,] 4.3704499 2.035323 0.16568783
[350,] 1.7060518 1.112994 0.02526549
[351,] 1.7820076 1.329165 0.06915071
[352,] 3.7692354 1.811737 0.16667043
[353,] 4.7639225 2.093819 0.17157886
[354,] 7.7127749 1.829074 0.15507682
[355,] 1.0601177 1.124383 0.01733807
[356,] 7.9781059 1.450627 0.08051665
[357,] 1.3973249 1.130315 0.02903099
[358,] 3.7399251 1.621947 0.10845149
[359,] 4.9748334 1.229745 0.05839018
[360,] 3.5723113 1.800192 0.14766856
[361,] 10.1153119 1.795850 0.12604858
[362,] 5.6665844 1.688524 0.12209976
[363,] 5.7286507 1.471099 0.08631017
[364,] 7.7536330 1.890197 0.13242018
[365,] 8.6314611 1.774746 0.12365287
[366,] 0.6212517 1.222323 0.04114352
[367,] 8.0772996 1.684871 0.10744956
[368,] 1.8704687 1.482211 0.07363584
[369,] 6.2805972 1.823399 0.14109937
[370,] 3.5556427 1.721061 0.10287854
[371,] 7.2371566 2.021239 0.18121012
[372,] 10.8025680 2.145141 0.15088306
[373,] 5.8284913 1.990708 0.17255798
[374,] 5.0359288 1.782759 0.12533335
[375,] 9.0014277 2.053561 0.15071169
[376,] 10.0684677 2.120112 0.14521139
[377,] 3.5395206 1.536946 0.09115803
[378,] 7.1928034 2.005248 0.17131961
[379,] 5.6030928 1.706309 0.11455214
[380,] 6.5134030 2.084744 0.17225246
[381,] 7.3650561 1.667631 0.17823979
[382,] 7.4618635 1.904882 0.13868724
[383,] 2.6519201 1.580928 0.14952201
[384,] 1.5436243 1.367959 0.08934423
[385,] 6.0592944 1.811729 0.16014460
[386,] 7.1606089 1.850319 0.13659385
[387,] 5.2401186 1.354797 0.06309999
[388,] 3.6505758 1.561608 0.14287654
[389,] 6.3077900 1.429125 0.08326433
[390,] 3.2581595 1.719926 0.15576629
[391,] 9.7093858 2.115081 0.17498399
[392,] 6.7083396 1.192096 0.04674415
[393,] 7.4294046 1.315115 0.08282597
[394,] 7.1396919 1.896298 0.17034052
[395,] 7.6392334 2.179364 0.18331070
[396,] 3.9987935 1.882743 0.16387859
[397,] 9.4153496 1.242612 0.05810627
[398,] 1.7632511 1.382160 0.05864306
[399,] 7.0673235 1.232539 0.04419260
[400,] 4.9752105 2.053591 0.16348274
[401,] 5.9244473 2.206188 0.19608369
[402,] 2.5698132 1.417643 0.10798459
[403,] 2.3532535 1.125301 0.03328970
[404,] 10.6895479 1.797401 0.14277948
[405,] 4.7368082 2.047736 0.16039430
[406,] 10.0765653 2.063615 0.20249461
[407,] 4.2892377 1.996226 0.15076057
[408,] 1.3314813 1.255878 0.06870162
[409,] 3.4102228 1.823500 0.16637345
[410,] 4.5110944 2.096999 0.16838014
[411,] 6.1553652 1.772647 0.14335193
[412,] 2.7071058 1.099666 0.01964268
[413,] 6.2804236 1.399476 0.06100328
[414,] 0.6922913 1.181980 0.02896623
[415,] 4.6775168 1.976175 0.19276296
[416,] 5.7706615 2.252128 0.20390455
[417,] 6.1192512 1.588629 0.09343500
[418,] 2.3748024 1.247104 0.06324926
[419,] 6.7062602 1.232320 0.02793487
[420,] 1.8054951 1.365321 0.07800802
[421,] 1.1013328 1.381773 0.10341668
[422,] 8.3510572 2.033275 0.14936376
[423,] 4.6285022 1.875060 0.17822458
[424,] 7.5541996 1.974037 0.18803854
[425,] 2.8777070 1.736585 0.14960047
[426,] 9.2402944 1.790282 0.13072597
[427,] 5.5445774 2.104229 0.17195434
[428,] 8.2569002 2.066584 0.22218948
[429,] 3.9669088 2.049954 0.15782160
[430,] 8.4863387 1.755496 0.12643184
[431,] 2.2432731 1.568982 0.09293797
[432,] 6.7874014 1.866838 0.15684971
[433,] 8.9165463 1.391041 0.06173245
[434,] 2.4572977 1.210581 0.02682137
[435,] 6.7786945 1.502892 0.09569923
$loess
$loess[[1]]
Call:
loess(formula = ext.coeff.sub ~ dist.sub)
Number of Observations: 133
Equivalent Number of Parameters: 4.85
Residual Standard Error: 0.2515
$loess[[2]]
Call:
loess(formula = ext.coeff.sub ~ dist.sub)
Number of Observations: 155
Equivalent Number of Parameters: 4.78
Residual Standard Error: 0.1464
$loess[[3]]
Call:
loess(formula = ext.coeff.sub ~ dist.sub)
Number of Observations: 147
Equivalent Number of Parameters: 4.67
Residual Standard Error: 0.2666
SpatialExtremes documentation built on Sept. 1, 2020, 3:01 a.m.
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Description Usage Arguments Details Value Author(s) References See Also Examples
Description
Estimates non parametrically the extremal coefficient function.
Usage
1 2 3 |
Arguments
data |
A matrix representing the data. Each column corresponds to one location. |
coord |
A matrix that gives the coordinates of each location. Each row corresponds to one location. |
... |
Additional options to be passed to the |
estim |
Character string specifying the estimator to be used. Must be one of "ST" (Schlather and Tawn) or "Smith". |
marge |
Character string specifying how margins are transformed to unit Frechet. Must be one of "emp", "mle" or "none" - see Details |
prob |
The probability related to the threshold. Only useful with
the |
plot |
Logical. If |
loess |
If |
method |
The optimizer used when fitting the GEV distribution to
data. See function |
std.err |
Logical. If |
xlab,ylab |
The x-axis and y-axis labels. May be missing. |
angles |
A numeric vector. A partition of the interval (-π, π) to help detecting anisotropy. |
identify |
Logical. If |
Details
During the estimation procedure, data need to be transformed to unit Frechet margins firts. This can be done in two different ways ; by using the empirical CDF or the GEV ML estimates.
If marge = "emp", then the data are transformed using the
following relation:
z_i = - 1 / log(F(y_i))
where y_i are the observations available at location i, F is the empirical CDF and z_i are the observations transformed to unit Frechet scale.
If marge = "mle", then the data are transformed using the MLE
of the GEV distribution - see function gev2frech.
Lastly, if data are already supposed to be unit Frechet, then no
transformation is performed if one passed the option marge =
"frech".
If data are already componentwise maxima, prob should be
zero. Otherwise, users have to define a threshold z (large
enough) where univariate extreme value arguments are relevant. We
define prob such that Pr[Z <= z] =
prob.
Value
Plots the extremal coefficient function and returns the points used
for the plot. If loess = TRUE, the output is a list with
argument "ext.coeff" and "loess".
Author(s)
Mathieu Ribatet
References
Schlather, M. and Tawn, J. A. (2003) A dependence measure for multivariate and spatial extreme values: Properties and inference. Biometrika 90(1):139–156.
Smith, R. L. (1990) Max-stable processes and spatial extremes. Unpublished manuscript.
See Also
Examples
1 2 3 4 5 6 7 8 9 10 11 12 13 | n.site <- 30
locations <- matrix(runif(2*n.site, 0, 10), ncol = 2)
colnames(locations) <- c("lon", "lat")
##Simulate a max-stable process - with unit Frechet margins
data <- rmaxstab(50, locations, cov.mod = "gauss", cov11 = 10, cov12 =
40, cov22 = 220)
##Plot the extremal coefficient function
op <- par(mfrow=c(1,2))
fitextcoeff(data, locations, estim = "Smith")
fitextcoeff(data, locations, angles = seq(-pi, pi, length = 4), estim = "Smith")
par(op)
|
Example output
$ext.coeff
distance ext.coeff std.err
[1,] 4.4108757 1.444617 0.07061842
[2,] 2.0550186 1.506493 0.09487240
[3,] 6.4139327 1.746838 0.12816701
[4,] 3.0220809 1.470848 0.10167914
[5,] 3.4185584 1.106960 0.02194766
[6,] 5.3893736 1.155159 0.03460055
[7,] 3.7804850 1.885387 0.15376185
[8,] 4.0320756 1.810635 0.14572625
[9,] 4.7002583 1.941446 0.17640419
[10,] 6.8830736 1.774492 0.14996905
[11,] 2.5828987 1.575780 0.09646243
[12,] 1.2770819 1.123890 0.02315634
[13,] 5.9564435 2.001243 0.20349180
[14,] 4.3979508 1.347780 0.07210881
[15,] 6.8884884 1.828691 0.13918613
[16,] 1.2937329 1.256140 0.05661280
[17,] 6.2918380 1.525516 0.09061400
[18,] 5.5313561 1.816784 0.13604792
[19,] 1.9882486 1.426671 0.10308756
[20,] 7.8928784 1.260343 0.06908799
[21,] 5.5806485 2.231681 0.18841097
[22,] 1.4521801 1.198912 0.05231554
[23,] 0.5694458 1.105726 0.02015083
[24,] 4.5661542 1.980832 0.19070168
[25,] 5.6383817 2.263733 0.18642361
[26,] 6.6872729 1.614019 0.11032432
[27,] 1.8055222 1.194942 0.04699823
[28,] 7.2313203 1.248590 0.03532047
[29,] 1.7143260 1.328391 0.06607430
[30,] 3.5782210 1.190021 0.03032447
[31,] 4.9746580 1.874501 0.14274913
[32,] 4.2740285 1.781906 0.14407471
[33,] 1.8480783 1.521955 0.08169545
[34,] 2.0382080 1.529647 0.07643259
[35,] 7.2391600 1.879942 0.15936091
[36,] 5.4819245 1.884144 0.15829558
[37,] 5.7045529 1.835802 0.17905985
[38,] 2.8264896 1.557126 0.11522975
[39,] 5.5720704 1.249281 0.03696846
[40,] 5.4463001 1.382930 0.06184694
[41,] 6.1188226 1.769919 0.16708070
[42,] 3.2174644 1.728802 0.13549570
[43,] 3.0951768 1.702854 0.11301786
[44,] 5.4363991 1.694133 0.12592112
[45,] 1.8964928 1.160037 0.04117852
[46,] 3.0616658 1.693199 0.10792088
[47,] 3.1172015 1.141162 0.03012215
[48,] 4.5554730 1.715030 0.13191199
[49,] 8.6453600 1.856803 0.12882308
[50,] 3.9182813 1.620539 0.11183349
[51,] 3.8444123 1.388918 0.06558509
[52,] 6.4756686 1.795599 0.17874092
[53,] 7.4644967 1.808612 0.13226419
[54,] 2.2814359 1.326505 0.05960092
[55,] 6.2066760 1.594305 0.09585377
[56,] 3.2484443 1.394309 0.05439634
[57,] 4.5744563 1.739749 0.13708071
[58,] 7.1875929 1.900755 0.13836849
[59,] 4.4310417 1.811752 0.16157009
[60,] 3.5470963 1.590706 0.11155622
[61,] 5.2213952 1.599110 0.11394772
[62,] 5.8338627 1.944346 0.18611651
[63,] 5.6558144 1.963127 0.19415107
[64,] 6.2358332 1.877899 0.16899286
[65,] 5.4377634 1.526270 0.13435674
[66,] 1.9941494 1.119666 0.02666759
[67,] 2.3509864 1.433093 0.07915291
[68,] 7.2994675 1.802683 0.15098447
[69,] 5.0447610 1.754210 0.16769963
[70,] 5.3044720 1.719397 0.11525259
[71,] 3.3348800 1.726561 0.15879820
[72,] 5.4097003 1.242303 0.04088263
[73,] 3.6611095 1.694518 0.10925926
[74,] 0.5130086 1.127741 0.02231916
[75,] 7.8731133 1.753972 0.14582811
[76,] 7.6228238 1.914693 0.13046087
[77,] 2.9617957 1.667954 0.12470044
[78,] 1.7236857 1.451433 0.07960382
[79,] 6.3663987 1.849141 0.15810638
[80,] 7.4652694 1.864359 0.12609246
[81,] 5.6433816 1.333187 0.06619965
[82,] 3.5539613 1.652271 0.12339095
[83,] 6.7917786 1.480546 0.09951141
[84,] 3.5159806 1.772464 0.16992980
[85,] 3.6204601 1.291734 0.05966095
[86,] 3.7331733 1.813179 0.15317961
[87,] 3.1696471 1.835216 0.16239246
[88,] 6.4434697 1.338373 0.05317143
[89,] 3.5597600 1.216533 0.05738039
[90,] 3.0655288 1.393356 0.06102225
[91,] 7.1527292 2.208573 0.15487293
[92,] 8.7962235 1.899225 0.17181210
[93,] 7.6739802 1.757113 0.13082625
[94,] 2.1807275 1.465133 0.06753757
[95,] 2.1428414 1.430329 0.06779201
[96,] 7.6458559 2.192987 0.15605811
[97,] 6.4739114 1.546942 0.09708248
[98,] 5.1745292 1.860941 0.16544450
[99,] 8.0363051 2.180289 0.14719271
[100,] 6.6941312 1.856633 0.13726267
[101,] 3.0771204 1.645417 0.10626055
[102,] 6.8009485 1.760574 0.11127311
[103,] 4.9919533 1.587695 0.09167315
[104,] 6.1151733 1.741367 0.13129639
[105,] 4.2669158 1.443008 0.05966299
[106,] 4.6167895 1.758091 0.11113381
[107,] 5.7778636 1.938310 0.18220202
[108,] 7.5337932 1.594880 0.09809750
[109,] 4.0967046 1.850051 0.13878255
[110,] 5.0783649 1.434522 0.07062134
[111,] 2.4436904 1.520991 0.11987260
[112,] 3.9481573 1.564837 0.11325146
[113,] 3.3032416 1.531257 0.08619432
[114,] 1.3058459 1.456259 0.08828679
[115,] 1.8077939 1.576194 0.10657707
[116,] 7.0968599 2.119889 0.17176253
[117,] 5.5824678 1.891332 0.15311186
[118,] 4.2016999 1.500165 0.10853401
[119,] 2.9447005 1.629534 0.11707443
[120,] 2.0646317 1.169740 0.03145850
[121,] 7.3561852 2.146886 0.17283095
[122,] 2.8596771 1.284914 0.06338568
[123,] 5.6921997 1.859612 0.15721623
[124,] 6.7797091 2.152320 0.17456140
[125,] 4.0471402 1.762010 0.14353809
[126,] 5.8345439 1.317361 0.06560265
[127,] 4.4245944 1.896801 0.13887787
[128,] 1.5863106 1.314497 0.05654822
[129,] 2.9040712 1.483465 0.10878056
[130,] 2.2336592 1.608787 0.10337800
[131,] 3.2887666 1.935035 0.14262501
[132,] 6.2649967 1.903316 0.16085203
[133,] 3.9177854 1.339899 0.06537331
[134,] 5.8146627 1.628673 0.11627424
[135,] 1.4743697 1.181180 0.02793767
[136,] 1.9766772 1.091632 0.01803704
[137,] 5.5539691 1.896128 0.15907068
[138,] 3.6338522 1.862360 0.16729476
[139,] 3.8759837 1.979118 0.17951958
[140,] 4.6583923 1.802540 0.13351785
[141,] 5.3522223 1.653446 0.11533906
[142,] 4.6535298 1.177176 0.04184303
[143,] 4.4266571 2.044031 0.20721086
[144,] 1.6481667 1.378312 0.07523902
[145,] 4.9431101 1.815551 0.12950518
[146,] 4.1251087 1.275945 0.04908542
[147,] 3.3146724 1.612891 0.09842758
[148,] 4.6381767 1.816559 0.13466725
[149,] 3.0372709 1.501973 0.12466956
[150,] 4.5036738 1.259823 0.06541789
[151,] 6.8523304 2.190214 0.19061499
[152,] 2.4400256 1.211080 0.05270248
[153,] 2.9315024 1.140102 0.03187682
[154,] 4.6289965 2.008574 0.19840351
[155,] 5.6180795 2.221077 0.18589025
[156,] 3.8584654 1.681774 0.11193256
[157,] 5.0609479 1.194223 0.04693660
[158,] 3.8575086 1.233813 0.03488854
[159,] 2.9983799 1.358744 0.07235456
[160,] 7.2405139 1.908019 0.17006042
[161,] 4.8355375 1.889092 0.17129469
[162,] 4.8005843 1.993329 0.17989378
[163,] 3.9947812 1.815165 0.12745496
[164,] 7.1501329 1.659375 0.11697054
[165,] 6.6081685 1.213085 0.04875483
[166,] 4.7708770 2.041278 0.20283036
[167,] 2.0849624 1.432033 0.08531156
[168,] 4.4768372 1.782236 0.12195500
[169,] 6.0769634 1.324825 0.05618669
[170,] 2.0778888 1.618867 0.09401197
[171,] 5.0152431 1.783207 0.12439186
[172,] 4.7140813 1.509463 0.12511101
[173,] 2.6521194 1.282313 0.06963029
[174,] 8.2949254 2.141540 0.20212306
[175,] 4.3749004 1.257788 0.05774139
[176,] 4.8868888 1.172507 0.04148784
[177,] 5.8329280 2.020696 0.19960323
[178,] 6.6417167 2.176076 0.19798322
[179,] 2.6985889 1.685110 0.10155487
[180,] 7.0326365 1.242191 0.05296791
[181,] 1.9124830 1.181248 0.02634701
[182,] 4.8662197 1.419239 0.08117098
[183,] 2.8839880 1.147149 0.01888727
[184,] 3.4567721 1.157262 0.02111648
[185,] 10.0262959 2.037685 0.16966451
[186,] 5.8659388 1.966602 0.17809823
[187,] 4.1233421 1.875943 0.14611136
[188,] 4.7916813 1.254777 0.05606175
[189,] 5.3413549 1.644064 0.10704135
[190,] 10.1760884 2.034742 0.17130557
[191,] 2.5409841 1.730924 0.13239794
[192,] 8.8686257 1.880557 0.14587169
[193,] 9.1399693 2.027730 0.17500541
[194,] 5.7094784 1.925299 0.16716764
[195,] 9.0547647 1.820344 0.14370309
[196,] 1.8383388 1.478060 0.12670868
[197,] 3.3793259 1.731919 0.13379719
[198,] 4.1658830 1.857469 0.14891811
[199,] 2.4016371 1.197442 0.04915223
[200,] 2.9574122 1.461115 0.11972411
[201,] 9.4051284 2.045818 0.15137514
[202,] 2.9294888 1.788634 0.13509199
[203,] 9.1173467 1.905226 0.19624475
[204,] 2.6911679 1.655473 0.11731316
[205,] 0.7159803 1.194652 0.04949876
[206,] 8.2820733 2.092577 0.17004519
[207,] 6.6123432 1.995912 0.18449674
[208,] 5.0725111 1.823496 0.16010359
[209,] 2.1155437 1.301885 0.06030316
[210,] 2.7658937 1.566622 0.10786407
[211,] 8.5767843 2.102568 0.15065506
[212,] 3.4941352 1.668688 0.13023915
[213,] 6.7434793 1.929598 0.14641265
[214,] 8.0782007 2.096207 0.14828477
[215,] 5.3020448 1.922045 0.18454274
[216,] 6.2754668 1.738966 0.12118415
[217,] 3.4920001 1.587314 0.11195141
[218,] 2.7113360 1.668477 0.11439889
[219,] 4.0357004 1.804757 0.15312167
[220,] 1.0106644 1.265240 0.04610470
[221,] 1.9980870 1.582058 0.11088930
[222,] 7.3404340 2.042626 0.14430995
[223,] 4.4778117 1.716566 0.12445020
[224,] 6.5866829 1.933008 0.17833994
[225,] 2.3235772 1.578715 0.12163056
[226,] 8.4518087 2.063702 0.17711965
[227,] 7.2831557 1.904440 0.17307513
[228,] 5.7713367 1.965587 0.16992662
[229,] 1.4084961 1.161741 0.02282988
[230,] 2.7215969 1.675421 0.12634739
[231,] 8.7889110 2.067067 0.15934753
[232,] 4.2080508 1.787935 0.15091390
[233,] 6.7965070 1.903795 0.12873922
[234,] 8.4443567 2.068721 0.16282572
[235,] 5.8548443 1.855593 0.17657164
[236,] 5.9456308 1.875623 0.15213462
[237,] 3.7677419 1.514935 0.11301756
[238,] 3.3330855 1.807255 0.14723149
[239,] 4.6645355 1.942231 0.16849691
[240,] 1.2058179 1.146517 0.02883373
[241,] 1.8411802 1.480773 0.10541368
[242,] 7.4077684 2.073867 0.15422776
[243,] 5.1937071 1.858758 0.15940932
[244,] 6.4403785 1.963870 0.17234075
[245,] 3.0058116 1.700072 0.12737254
[246,] 7.2748512 1.500423 0.12689209
[247,] 7.6917135 1.747746 0.14449547
[248,] 8.6877218 2.013578 0.16305742
[249,] 5.8189695 2.010236 0.20875159
[250,] 0.6116484 1.203938 0.03833575
[251,] 8.0470603 1.984313 0.19525719
[252,] 2.0244507 1.463522 0.09420813
[253,] 2.4660080 1.196980 0.03702653
[254,] 5.1384384 1.610278 0.11617235
[255,] 5.5093018 2.022266 0.20066695
[256,] 11.4694891 2.097448 0.14863462
[257,] 6.6637645 1.905418 0.18246708
[258,] 6.3209458 1.746614 0.12460178
[259,] 9.2836421 2.054790 0.17493679
[260,] 10.2471298 2.064229 0.13506585
[261,] 1.5117757 1.393618 0.08544457
[262,] 8.6772346 1.940154 0.15885794
[263,] 3.7502459 1.712590 0.12687967
[264,] 7.3409333 2.028600 0.19142145
[265,] 1.7436246 1.530076 0.08550894
[266,] 8.5259949 1.857688 0.15003976
[267,] 6.6854787 1.849720 0.14504323
[268,] 7.0601355 1.695743 0.11196439
[269,] 3.4178620 1.818871 0.14046421
[270,] 7.3979098 1.277784 0.06014509
[271,] 5.1963196 1.666632 0.10416166
[272,] 2.4674188 1.204137 0.03078773
[273,] 9.7917356 1.843947 0.15360860
[274,] 7.7001977 1.946397 0.15276410
[275,] 3.9964625 1.753947 0.12831152
[276,] 2.7118140 1.535146 0.08458060
[277,] 7.0941908 1.893402 0.15701844
[278,] 8.1376599 1.892426 0.14205476
[279,] 7.6096867 1.322217 0.05886983
[280,] 3.0085987 1.736613 0.12374093
[281,] 8.7752021 1.542813 0.10197706
[282,] 4.2897612 1.865582 0.14440474
[283,] 7.0901127 1.993955 0.19048509
[284,] 5.6741546 1.388025 0.07995137
[285,] 7.6112060 1.818247 0.12731904
[286,] 1.7010933 1.333905 0.07095216
[287,] 7.3427928 1.471767 0.08910933
[288,] 6.0108818 1.801050 0.12079543
[289,] 2.5579424 1.362250 0.08746319
[290,] 9.1474570 1.323927 0.08546371
[291,] 5.9590618 2.191215 0.19032682
[292,] 2.6856206 1.268183 0.06813094
[293,] 1.7225662 1.086014 0.01677646
[294,] 5.4478851 1.992391 0.19189380
[295,] 6.4605762 2.238727 0.19810347
[296,] 7.6835875 1.576444 0.11104306
[297,] 1.3322424 1.257306 0.06400849
[298,] 8.4138378 1.259286 0.03618833
[299,] 2.7784845 1.379872 0.08126997
[300,] 2.9044796 1.738812 0.16635029
[301,] 9.1009200 2.030471 0.15673434
[302,] 5.5800572 1.835617 0.17411880
[303,] 6.8475203 1.863656 0.12449579
[304,] 9.0611613 2.035444 0.15514709
[305,] 6.8727962 1.777918 0.16144661
[306,] 5.2536804 1.944634 0.17922250
[307,] 4.7796064 1.454090 0.09673177
[308,] 4.5308386 1.877313 0.17526437
[309,] 5.8451317 1.977086 0.18852327
[310,] 2.4105268 1.110722 0.02202559
[311,] 2.4900490 1.405148 0.08544437
[312,] 7.4686678 2.010766 0.12754713
[313,] 6.5843176 1.929479 0.18805218
[314,] 6.1084888 1.982182 0.18489694
[315,] 4.3117639 1.760490 0.16459623
[316,] 6.2092430 2.077985 0.18311338
[317,] 4.6855307 1.175056 0.04158536
[318,] 4.0824225 1.816034 0.14773808
[319,] 6.2028298 2.078611 0.17965506
[320,] 4.5517846 1.705205 0.15047431
[321,] 3.7792328 1.200184 0.03993702
[322,] 6.2484872 2.000073 0.15047148
[323,] 3.0517271 1.207374 0.03283898
[324,] 4.0417404 1.373666 0.07423328
[325,] 3.7539646 1.722208 0.14334797
[326,] 4.5620982 2.064626 0.15712339
[327,] 4.6976801 1.887170 0.17064283
[328,] 5.7297435 1.260098 0.04030724
[329,] 3.8315804 1.497512 0.09411034
[330,] 3.3168038 1.105586 0.01885462
[331,] 8.0948137 2.062467 0.18509373
[332,] 2.5832939 1.649505 0.11098952
[333,] 2.0382448 1.068496 0.01101197
[334,] 5.0549849 1.746098 0.10578158
[335,] 6.1050870 2.016087 0.17860108
[336,] 11.6787226 2.121699 0.14478797
[337,] 6.7980466 1.974629 0.16869900
[338,] 6.3371936 1.796967 0.13377735
[339,] 9.5683507 2.051931 0.15195979
[340,] 10.5591934 2.109262 0.15478961
[341,] 2.1069542 1.558295 0.09546139
[342,] 8.6610309 1.991714 0.16837996
[343,] 4.3499111 1.711859 0.11872154
[344,] 7.4849321 2.081213 0.17467354
[345,] 7.2636771 1.779916 0.13908065
[346,] 6.8124632 2.076983 0.18888423
[347,] 3.2803111 1.669438 0.14289075
[348,] 8.3985767 1.241500 0.04860658
[349,] 4.3704499 2.035323 0.16568783
[350,] 1.7060518 1.112994 0.02526549
[351,] 1.7820076 1.329165 0.06915071
[352,] 3.7692354 1.811737 0.16667043
[353,] 4.7639225 2.093819 0.17157886
[354,] 7.7127749 1.829074 0.15507682
[355,] 1.0601177 1.124383 0.01733807
[356,] 7.9781059 1.450627 0.08051665
[357,] 1.3973249 1.130315 0.02903099
[358,] 3.7399251 1.621947 0.10845149
[359,] 4.9748334 1.229745 0.05839018
[360,] 3.5723113 1.800192 0.14766856
[361,] 10.1153119 1.795850 0.12604858
[362,] 5.6665844 1.688524 0.12209976
[363,] 5.7286507 1.471099 0.08631017
[364,] 7.7536330 1.890197 0.13242018
[365,] 8.6314611 1.774746 0.12365287
[366,] 0.6212517 1.222323 0.04114352
[367,] 8.0772996 1.684871 0.10744956
[368,] 1.8704687 1.482211 0.07363584
[369,] 6.2805972 1.823399 0.14109937
[370,] 3.5556427 1.721061 0.10287854
[371,] 7.2371566 2.021239 0.18121012
[372,] 10.8025680 2.145141 0.15088306
[373,] 5.8284913 1.990708 0.17255798
[374,] 5.0359288 1.782759 0.12533335
[375,] 9.0014277 2.053561 0.15071169
[376,] 10.0684677 2.120112 0.14521139
[377,] 3.5395206 1.536946 0.09115803
[378,] 7.1928034 2.005248 0.17131961
[379,] 5.6030928 1.706309 0.11455214
[380,] 6.5134030 2.084744 0.17225246
[381,] 7.3650561 1.667631 0.17823979
[382,] 7.4618635 1.904882 0.13868724
[383,] 2.6519201 1.580928 0.14952201
[384,] 1.5436243 1.367959 0.08934423
[385,] 6.0592944 1.811729 0.16014460
[386,] 7.1606089 1.850319 0.13659385
[387,] 5.2401186 1.354797 0.06309999
[388,] 3.6505758 1.561608 0.14287654
[389,] 6.3077900 1.429125 0.08326433
[390,] 3.2581595 1.719926 0.15576629
[391,] 9.7093858 2.115081 0.17498399
[392,] 6.7083396 1.192096 0.04674415
[393,] 7.4294046 1.315115 0.08282597
[394,] 7.1396919 1.896298 0.17034052
[395,] 7.6392334 2.179364 0.18331070
[396,] 3.9987935 1.882743 0.16387859
[397,] 9.4153496 1.242612 0.05810627
[398,] 1.7632511 1.382160 0.05864306
[399,] 7.0673235 1.232539 0.04419260
[400,] 4.9752105 2.053591 0.16348274
[401,] 5.9244473 2.206188 0.19608369
[402,] 2.5698132 1.417643 0.10798459
[403,] 2.3532535 1.125301 0.03328970
[404,] 10.6895479 1.797401 0.14277948
[405,] 4.7368082 2.047736 0.16039430
[406,] 10.0765653 2.063615 0.20249461
[407,] 4.2892377 1.996226 0.15076057
[408,] 1.3314813 1.255878 0.06870162
[409,] 3.4102228 1.823500 0.16637345
[410,] 4.5110944 2.096999 0.16838014
[411,] 6.1553652 1.772647 0.14335193
[412,] 2.7071058 1.099666 0.01964268
[413,] 6.2804236 1.399476 0.06100328
[414,] 0.6922913 1.181980 0.02896623
[415,] 4.6775168 1.976175 0.19276296
[416,] 5.7706615 2.252128 0.20390455
[417,] 6.1192512 1.588629 0.09343500
[418,] 2.3748024 1.247104 0.06324926
[419,] 6.7062602 1.232320 0.02793487
[420,] 1.8054951 1.365321 0.07800802
[421,] 1.1013328 1.381773 0.10341668
[422,] 8.3510572 2.033275 0.14936376
[423,] 4.6285022 1.875060 0.17822458
[424,] 7.5541996 1.974037 0.18803854
[425,] 2.8777070 1.736585 0.14960047
[426,] 9.2402944 1.790282 0.13072597
[427,] 5.5445774 2.104229 0.17195434
[428,] 8.2569002 2.066584 0.22218948
[429,] 3.9669088 2.049954 0.15782160
[430,] 8.4863387 1.755496 0.12643184
[431,] 2.2432731 1.568982 0.09293797
[432,] 6.7874014 1.866838 0.15684971
[433,] 8.9165463 1.391041 0.06173245
[434,] 2.4572977 1.210581 0.02682137
[435,] 6.7786945 1.502892 0.09569923
$loess
Call:
loess(formula = ext.coeff ~ dist)
Number of Observations: 435
Equivalent Number of Parameters: 4.83
Residual Standard Error: 0.2434
$ext.coeff
distance ext.coeff std.err
[1,] 4.4108757 1.444617 0.07061842
[2,] 2.0550186 1.506493 0.09487240
[3,] 6.4139327 1.746838 0.12816701
[4,] 3.0220809 1.470848 0.10167914
[5,] 3.4185584 1.106960 0.02194766
[6,] 5.3893736 1.155159 0.03460055
[7,] 3.7804850 1.885387 0.15376185
[8,] 4.0320756 1.810635 0.14572625
[9,] 4.7002583 1.941446 0.17640419
[10,] 6.8830736 1.774492 0.14996905
[11,] 2.5828987 1.575780 0.09646243
[12,] 1.2770819 1.123890 0.02315634
[13,] 5.9564435 2.001243 0.20349180
[14,] 4.3979508 1.347780 0.07210881
[15,] 6.8884884 1.828691 0.13918613
[16,] 1.2937329 1.256140 0.05661280
[17,] 6.2918380 1.525516 0.09061400
[18,] 5.5313561 1.816784 0.13604792
[19,] 1.9882486 1.426671 0.10308756
[20,] 7.8928784 1.260343 0.06908799
[21,] 5.5806485 2.231681 0.18841097
[22,] 1.4521801 1.198912 0.05231554
[23,] 0.5694458 1.105726 0.02015083
[24,] 4.5661542 1.980832 0.19070168
[25,] 5.6383817 2.263733 0.18642361
[26,] 6.6872729 1.614019 0.11032432
[27,] 1.8055222 1.194942 0.04699823
[28,] 7.2313203 1.248590 0.03532047
[29,] 1.7143260 1.328391 0.06607430
[30,] 3.5782210 1.190021 0.03032447
[31,] 4.9746580 1.874501 0.14274913
[32,] 4.2740285 1.781906 0.14407471
[33,] 1.8480783 1.521955 0.08169545
[34,] 2.0382080 1.529647 0.07643259
[35,] 7.2391600 1.879942 0.15936091
[36,] 5.4819245 1.884144 0.15829558
[37,] 5.7045529 1.835802 0.17905985
[38,] 2.8264896 1.557126 0.11522975
[39,] 5.5720704 1.249281 0.03696846
[40,] 5.4463001 1.382930 0.06184694
[41,] 6.1188226 1.769919 0.16708070
[42,] 3.2174644 1.728802 0.13549570
[43,] 3.0951768 1.702854 0.11301786
[44,] 5.4363991 1.694133 0.12592112
[45,] 1.8964928 1.160037 0.04117852
[46,] 3.0616658 1.693199 0.10792088
[47,] 3.1172015 1.141162 0.03012215
[48,] 4.5554730 1.715030 0.13191199
[49,] 8.6453600 1.856803 0.12882308
[50,] 3.9182813 1.620539 0.11183349
[51,] 3.8444123 1.388918 0.06558509
[52,] 6.4756686 1.795599 0.17874092
[53,] 7.4644967 1.808612 0.13226419
[54,] 2.2814359 1.326505 0.05960092
[55,] 6.2066760 1.594305 0.09585377
[56,] 3.2484443 1.394309 0.05439634
[57,] 4.5744563 1.739749 0.13708071
[58,] 7.1875929 1.900755 0.13836849
[59,] 4.4310417 1.811752 0.16157009
[60,] 3.5470963 1.590706 0.11155622
[61,] 5.2213952 1.599110 0.11394772
[62,] 5.8338627 1.944346 0.18611651
[63,] 5.6558144 1.963127 0.19415107
[64,] 6.2358332 1.877899 0.16899286
[65,] 5.4377634 1.526270 0.13435674
[66,] 1.9941494 1.119666 0.02666759
[67,] 2.3509864 1.433093 0.07915291
[68,] 7.2994675 1.802683 0.15098447
[69,] 5.0447610 1.754210 0.16769963
[70,] 5.3044720 1.719397 0.11525259
[71,] 3.3348800 1.726561 0.15879820
[72,] 5.4097003 1.242303 0.04088263
[73,] 3.6611095 1.694518 0.10925926
[74,] 0.5130086 1.127741 0.02231916
[75,] 7.8731133 1.753972 0.14582811
[76,] 7.6228238 1.914693 0.13046087
[77,] 2.9617957 1.667954 0.12470044
[78,] 1.7236857 1.451433 0.07960382
[79,] 6.3663987 1.849141 0.15810638
[80,] 7.4652694 1.864359 0.12609246
[81,] 5.6433816 1.333187 0.06619965
[82,] 3.5539613 1.652271 0.12339095
[83,] 6.7917786 1.480546 0.09951141
[84,] 3.5159806 1.772464 0.16992980
[85,] 3.6204601 1.291734 0.05966095
[86,] 3.7331733 1.813179 0.15317961
[87,] 3.1696471 1.835216 0.16239246
[88,] 6.4434697 1.338373 0.05317143
[89,] 3.5597600 1.216533 0.05738039
[90,] 3.0655288 1.393356 0.06102225
[91,] 7.1527292 2.208573 0.15487293
[92,] 8.7962235 1.899225 0.17181210
[93,] 7.6739802 1.757113 0.13082625
[94,] 2.1807275 1.465133 0.06753757
[95,] 2.1428414 1.430329 0.06779201
[96,] 7.6458559 2.192987 0.15605811
[97,] 6.4739114 1.546942 0.09708248
[98,] 5.1745292 1.860941 0.16544450
[99,] 8.0363051 2.180289 0.14719271
[100,] 6.6941312 1.856633 0.13726267
[101,] 3.0771204 1.645417 0.10626055
[102,] 6.8009485 1.760574 0.11127311
[103,] 4.9919533 1.587695 0.09167315
[104,] 6.1151733 1.741367 0.13129639
[105,] 4.2669158 1.443008 0.05966299
[106,] 4.6167895 1.758091 0.11113381
[107,] 5.7778636 1.938310 0.18220202
[108,] 7.5337932 1.594880 0.09809750
[109,] 4.0967046 1.850051 0.13878255
[110,] 5.0783649 1.434522 0.07062134
[111,] 2.4436904 1.520991 0.11987260
[112,] 3.9481573 1.564837 0.11325146
[113,] 3.3032416 1.531257 0.08619432
[114,] 1.3058459 1.456259 0.08828679
[115,] 1.8077939 1.576194 0.10657707
[116,] 7.0968599 2.119889 0.17176253
[117,] 5.5824678 1.891332 0.15311186
[118,] 4.2016999 1.500165 0.10853401
[119,] 2.9447005 1.629534 0.11707443
[120,] 2.0646317 1.169740 0.03145850
[121,] 7.3561852 2.146886 0.17283095
[122,] 2.8596771 1.284914 0.06338568
[123,] 5.6921997 1.859612 0.15721623
[124,] 6.7797091 2.152320 0.17456140
[125,] 4.0471402 1.762010 0.14353809
[126,] 5.8345439 1.317361 0.06560265
[127,] 4.4245944 1.896801 0.13887787
[128,] 1.5863106 1.314497 0.05654822
[129,] 2.9040712 1.483465 0.10878056
[130,] 2.2336592 1.608787 0.10337800
[131,] 3.2887666 1.935035 0.14262501
[132,] 6.2649967 1.903316 0.16085203
[133,] 3.9177854 1.339899 0.06537331
[134,] 5.8146627 1.628673 0.11627424
[135,] 1.4743697 1.181180 0.02793767
[136,] 1.9766772 1.091632 0.01803704
[137,] 5.5539691 1.896128 0.15907068
[138,] 3.6338522 1.862360 0.16729476
[139,] 3.8759837 1.979118 0.17951958
[140,] 4.6583923 1.802540 0.13351785
[141,] 5.3522223 1.653446 0.11533906
[142,] 4.6535298 1.177176 0.04184303
[143,] 4.4266571 2.044031 0.20721086
[144,] 1.6481667 1.378312 0.07523902
[145,] 4.9431101 1.815551 0.12950518
[146,] 4.1251087 1.275945 0.04908542
[147,] 3.3146724 1.612891 0.09842758
[148,] 4.6381767 1.816559 0.13466725
[149,] 3.0372709 1.501973 0.12466956
[150,] 4.5036738 1.259823 0.06541789
[151,] 6.8523304 2.190214 0.19061499
[152,] 2.4400256 1.211080 0.05270248
[153,] 2.9315024 1.140102 0.03187682
[154,] 4.6289965 2.008574 0.19840351
[155,] 5.6180795 2.221077 0.18589025
[156,] 3.8584654 1.681774 0.11193256
[157,] 5.0609479 1.194223 0.04693660
[158,] 3.8575086 1.233813 0.03488854
[159,] 2.9983799 1.358744 0.07235456
[160,] 7.2405139 1.908019 0.17006042
[161,] 4.8355375 1.889092 0.17129469
[162,] 4.8005843 1.993329 0.17989378
[163,] 3.9947812 1.815165 0.12745496
[164,] 7.1501329 1.659375 0.11697054
[165,] 6.6081685 1.213085 0.04875483
[166,] 4.7708770 2.041278 0.20283036
[167,] 2.0849624 1.432033 0.08531156
[168,] 4.4768372 1.782236 0.12195500
[169,] 6.0769634 1.324825 0.05618669
[170,] 2.0778888 1.618867 0.09401197
[171,] 5.0152431 1.783207 0.12439186
[172,] 4.7140813 1.509463 0.12511101
[173,] 2.6521194 1.282313 0.06963029
[174,] 8.2949254 2.141540 0.20212306
[175,] 4.3749004 1.257788 0.05774139
[176,] 4.8868888 1.172507 0.04148784
[177,] 5.8329280 2.020696 0.19960323
[178,] 6.6417167 2.176076 0.19798322
[179,] 2.6985889 1.685110 0.10155487
[180,] 7.0326365 1.242191 0.05296791
[181,] 1.9124830 1.181248 0.02634701
[182,] 4.8662197 1.419239 0.08117098
[183,] 2.8839880 1.147149 0.01888727
[184,] 3.4567721 1.157262 0.02111648
[185,] 10.0262959 2.037685 0.16966451
[186,] 5.8659388 1.966602 0.17809823
[187,] 4.1233421 1.875943 0.14611136
[188,] 4.7916813 1.254777 0.05606175
[189,] 5.3413549 1.644064 0.10704135
[190,] 10.1760884 2.034742 0.17130557
[191,] 2.5409841 1.730924 0.13239794
[192,] 8.8686257 1.880557 0.14587169
[193,] 9.1399693 2.027730 0.17500541
[194,] 5.7094784 1.925299 0.16716764
[195,] 9.0547647 1.820344 0.14370309
[196,] 1.8383388 1.478060 0.12670868
[197,] 3.3793259 1.731919 0.13379719
[198,] 4.1658830 1.857469 0.14891811
[199,] 2.4016371 1.197442 0.04915223
[200,] 2.9574122 1.461115 0.11972411
[201,] 9.4051284 2.045818 0.15137514
[202,] 2.9294888 1.788634 0.13509199
[203,] 9.1173467 1.905226 0.19624475
[204,] 2.6911679 1.655473 0.11731316
[205,] 0.7159803 1.194652 0.04949876
[206,] 8.2820733 2.092577 0.17004519
[207,] 6.6123432 1.995912 0.18449674
[208,] 5.0725111 1.823496 0.16010359
[209,] 2.1155437 1.301885 0.06030316
[210,] 2.7658937 1.566622 0.10786407
[211,] 8.5767843 2.102568 0.15065506
[212,] 3.4941352 1.668688 0.13023915
[213,] 6.7434793 1.929598 0.14641265
[214,] 8.0782007 2.096207 0.14828477
[215,] 5.3020448 1.922045 0.18454274
[216,] 6.2754668 1.738966 0.12118415
[217,] 3.4920001 1.587314 0.11195141
[218,] 2.7113360 1.668477 0.11439889
[219,] 4.0357004 1.804757 0.15312167
[220,] 1.0106644 1.265240 0.04610470
[221,] 1.9980870 1.582058 0.11088930
[222,] 7.3404340 2.042626 0.14430995
[223,] 4.4778117 1.716566 0.12445020
[224,] 6.5866829 1.933008 0.17833994
[225,] 2.3235772 1.578715 0.12163056
[226,] 8.4518087 2.063702 0.17711965
[227,] 7.2831557 1.904440 0.17307513
[228,] 5.7713367 1.965587 0.16992662
[229,] 1.4084961 1.161741 0.02282988
[230,] 2.7215969 1.675421 0.12634739
[231,] 8.7889110 2.067067 0.15934753
[232,] 4.2080508 1.787935 0.15091390
[233,] 6.7965070 1.903795 0.12873922
[234,] 8.4443567 2.068721 0.16282572
[235,] 5.8548443 1.855593 0.17657164
[236,] 5.9456308 1.875623 0.15213462
[237,] 3.7677419 1.514935 0.11301756
[238,] 3.3330855 1.807255 0.14723149
[239,] 4.6645355 1.942231 0.16849691
[240,] 1.2058179 1.146517 0.02883373
[241,] 1.8411802 1.480773 0.10541368
[242,] 7.4077684 2.073867 0.15422776
[243,] 5.1937071 1.858758 0.15940932
[244,] 6.4403785 1.963870 0.17234075
[245,] 3.0058116 1.700072 0.12737254
[246,] 7.2748512 1.500423 0.12689209
[247,] 7.6917135 1.747746 0.14449547
[248,] 8.6877218 2.013578 0.16305742
[249,] 5.8189695 2.010236 0.20875159
[250,] 0.6116484 1.203938 0.03833575
[251,] 8.0470603 1.984313 0.19525719
[252,] 2.0244507 1.463522 0.09420813
[253,] 2.4660080 1.196980 0.03702653
[254,] 5.1384384 1.610278 0.11617235
[255,] 5.5093018 2.022266 0.20066695
[256,] 11.4694891 2.097448 0.14863462
[257,] 6.6637645 1.905418 0.18246708
[258,] 6.3209458 1.746614 0.12460178
[259,] 9.2836421 2.054790 0.17493679
[260,] 10.2471298 2.064229 0.13506585
[261,] 1.5117757 1.393618 0.08544457
[262,] 8.6772346 1.940154 0.15885794
[263,] 3.7502459 1.712590 0.12687967
[264,] 7.3409333 2.028600 0.19142145
[265,] 1.7436246 1.530076 0.08550894
[266,] 8.5259949 1.857688 0.15003976
[267,] 6.6854787 1.849720 0.14504323
[268,] 7.0601355 1.695743 0.11196439
[269,] 3.4178620 1.818871 0.14046421
[270,] 7.3979098 1.277784 0.06014509
[271,] 5.1963196 1.666632 0.10416166
[272,] 2.4674188 1.204137 0.03078773
[273,] 9.7917356 1.843947 0.15360860
[274,] 7.7001977 1.946397 0.15276410
[275,] 3.9964625 1.753947 0.12831152
[276,] 2.7118140 1.535146 0.08458060
[277,] 7.0941908 1.893402 0.15701844
[278,] 8.1376599 1.892426 0.14205476
[279,] 7.6096867 1.322217 0.05886983
[280,] 3.0085987 1.736613 0.12374093
[281,] 8.7752021 1.542813 0.10197706
[282,] 4.2897612 1.865582 0.14440474
[283,] 7.0901127 1.993955 0.19048509
[284,] 5.6741546 1.388025 0.07995137
[285,] 7.6112060 1.818247 0.12731904
[286,] 1.7010933 1.333905 0.07095216
[287,] 7.3427928 1.471767 0.08910933
[288,] 6.0108818 1.801050 0.12079543
[289,] 2.5579424 1.362250 0.08746319
[290,] 9.1474570 1.323927 0.08546371
[291,] 5.9590618 2.191215 0.19032682
[292,] 2.6856206 1.268183 0.06813094
[293,] 1.7225662 1.086014 0.01677646
[294,] 5.4478851 1.992391 0.19189380
[295,] 6.4605762 2.238727 0.19810347
[296,] 7.6835875 1.576444 0.11104306
[297,] 1.3322424 1.257306 0.06400849
[298,] 8.4138378 1.259286 0.03618833
[299,] 2.7784845 1.379872 0.08126997
[300,] 2.9044796 1.738812 0.16635029
[301,] 9.1009200 2.030471 0.15673434
[302,] 5.5800572 1.835617 0.17411880
[303,] 6.8475203 1.863656 0.12449579
[304,] 9.0611613 2.035444 0.15514709
[305,] 6.8727962 1.777918 0.16144661
[306,] 5.2536804 1.944634 0.17922250
[307,] 4.7796064 1.454090 0.09673177
[308,] 4.5308386 1.877313 0.17526437
[309,] 5.8451317 1.977086 0.18852327
[310,] 2.4105268 1.110722 0.02202559
[311,] 2.4900490 1.405148 0.08544437
[312,] 7.4686678 2.010766 0.12754713
[313,] 6.5843176 1.929479 0.18805218
[314,] 6.1084888 1.982182 0.18489694
[315,] 4.3117639 1.760490 0.16459623
[316,] 6.2092430 2.077985 0.18311338
[317,] 4.6855307 1.175056 0.04158536
[318,] 4.0824225 1.816034 0.14773808
[319,] 6.2028298 2.078611 0.17965506
[320,] 4.5517846 1.705205 0.15047431
[321,] 3.7792328 1.200184 0.03993702
[322,] 6.2484872 2.000073 0.15047148
[323,] 3.0517271 1.207374 0.03283898
[324,] 4.0417404 1.373666 0.07423328
[325,] 3.7539646 1.722208 0.14334797
[326,] 4.5620982 2.064626 0.15712339
[327,] 4.6976801 1.887170 0.17064283
[328,] 5.7297435 1.260098 0.04030724
[329,] 3.8315804 1.497512 0.09411034
[330,] 3.3168038 1.105586 0.01885462
[331,] 8.0948137 2.062467 0.18509373
[332,] 2.5832939 1.649505 0.11098952
[333,] 2.0382448 1.068496 0.01101197
[334,] 5.0549849 1.746098 0.10578158
[335,] 6.1050870 2.016087 0.17860108
[336,] 11.6787226 2.121699 0.14478797
[337,] 6.7980466 1.974629 0.16869900
[338,] 6.3371936 1.796967 0.13377735
[339,] 9.5683507 2.051931 0.15195979
[340,] 10.5591934 2.109262 0.15478961
[341,] 2.1069542 1.558295 0.09546139
[342,] 8.6610309 1.991714 0.16837996
[343,] 4.3499111 1.711859 0.11872154
[344,] 7.4849321 2.081213 0.17467354
[345,] 7.2636771 1.779916 0.13908065
[346,] 6.8124632 2.076983 0.18888423
[347,] 3.2803111 1.669438 0.14289075
[348,] 8.3985767 1.241500 0.04860658
[349,] 4.3704499 2.035323 0.16568783
[350,] 1.7060518 1.112994 0.02526549
[351,] 1.7820076 1.329165 0.06915071
[352,] 3.7692354 1.811737 0.16667043
[353,] 4.7639225 2.093819 0.17157886
[354,] 7.7127749 1.829074 0.15507682
[355,] 1.0601177 1.124383 0.01733807
[356,] 7.9781059 1.450627 0.08051665
[357,] 1.3973249 1.130315 0.02903099
[358,] 3.7399251 1.621947 0.10845149
[359,] 4.9748334 1.229745 0.05839018
[360,] 3.5723113 1.800192 0.14766856
[361,] 10.1153119 1.795850 0.12604858
[362,] 5.6665844 1.688524 0.12209976
[363,] 5.7286507 1.471099 0.08631017
[364,] 7.7536330 1.890197 0.13242018
[365,] 8.6314611 1.774746 0.12365287
[366,] 0.6212517 1.222323 0.04114352
[367,] 8.0772996 1.684871 0.10744956
[368,] 1.8704687 1.482211 0.07363584
[369,] 6.2805972 1.823399 0.14109937
[370,] 3.5556427 1.721061 0.10287854
[371,] 7.2371566 2.021239 0.18121012
[372,] 10.8025680 2.145141 0.15088306
[373,] 5.8284913 1.990708 0.17255798
[374,] 5.0359288 1.782759 0.12533335
[375,] 9.0014277 2.053561 0.15071169
[376,] 10.0684677 2.120112 0.14521139
[377,] 3.5395206 1.536946 0.09115803
[378,] 7.1928034 2.005248 0.17131961
[379,] 5.6030928 1.706309 0.11455214
[380,] 6.5134030 2.084744 0.17225246
[381,] 7.3650561 1.667631 0.17823979
[382,] 7.4618635 1.904882 0.13868724
[383,] 2.6519201 1.580928 0.14952201
[384,] 1.5436243 1.367959 0.08934423
[385,] 6.0592944 1.811729 0.16014460
[386,] 7.1606089 1.850319 0.13659385
[387,] 5.2401186 1.354797 0.06309999
[388,] 3.6505758 1.561608 0.14287654
[389,] 6.3077900 1.429125 0.08326433
[390,] 3.2581595 1.719926 0.15576629
[391,] 9.7093858 2.115081 0.17498399
[392,] 6.7083396 1.192096 0.04674415
[393,] 7.4294046 1.315115 0.08282597
[394,] 7.1396919 1.896298 0.17034052
[395,] 7.6392334 2.179364 0.18331070
[396,] 3.9987935 1.882743 0.16387859
[397,] 9.4153496 1.242612 0.05810627
[398,] 1.7632511 1.382160 0.05864306
[399,] 7.0673235 1.232539 0.04419260
[400,] 4.9752105 2.053591 0.16348274
[401,] 5.9244473 2.206188 0.19608369
[402,] 2.5698132 1.417643 0.10798459
[403,] 2.3532535 1.125301 0.03328970
[404,] 10.6895479 1.797401 0.14277948
[405,] 4.7368082 2.047736 0.16039430
[406,] 10.0765653 2.063615 0.20249461
[407,] 4.2892377 1.996226 0.15076057
[408,] 1.3314813 1.255878 0.06870162
[409,] 3.4102228 1.823500 0.16637345
[410,] 4.5110944 2.096999 0.16838014
[411,] 6.1553652 1.772647 0.14335193
[412,] 2.7071058 1.099666 0.01964268
[413,] 6.2804236 1.399476 0.06100328
[414,] 0.6922913 1.181980 0.02896623
[415,] 4.6775168 1.976175 0.19276296
[416,] 5.7706615 2.252128 0.20390455
[417,] 6.1192512 1.588629 0.09343500
[418,] 2.3748024 1.247104 0.06324926
[419,] 6.7062602 1.232320 0.02793487
[420,] 1.8054951 1.365321 0.07800802
[421,] 1.1013328 1.381773 0.10341668
[422,] 8.3510572 2.033275 0.14936376
[423,] 4.6285022 1.875060 0.17822458
[424,] 7.5541996 1.974037 0.18803854
[425,] 2.8777070 1.736585 0.14960047
[426,] 9.2402944 1.790282 0.13072597
[427,] 5.5445774 2.104229 0.17195434
[428,] 8.2569002 2.066584 0.22218948
[429,] 3.9669088 2.049954 0.15782160
[430,] 8.4863387 1.755496 0.12643184
[431,] 2.2432731 1.568982 0.09293797
[432,] 6.7874014 1.866838 0.15684971
[433,] 8.9165463 1.391041 0.06173245
[434,] 2.4572977 1.210581 0.02682137
[435,] 6.7786945 1.502892 0.09569923
$loess
$loess[[1]]
Call:
loess(formula = ext.coeff.sub ~ dist.sub)
Number of Observations: 133
Equivalent Number of Parameters: 4.85
Residual Standard Error: 0.2515
$loess[[2]]
Call:
loess(formula = ext.coeff.sub ~ dist.sub)
Number of Observations: 155
Equivalent Number of Parameters: 4.78
Residual Standard Error: 0.1464
$loess[[3]]
Call:
loess(formula = ext.coeff.sub ~ dist.sub)
Number of Observations: 147
Equivalent Number of Parameters: 4.67
Residual Standard Error: 0.2666
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