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Computes the summed probability density (SPD) for a set of felling date ranges.

Usage

sw_sum(
  x,
  series = "series",
  last = "last",
  n_sapwood = "n_sapwood",
  waneyedge = "waneyedge",
  sw_data = "Hollstein_1980",
  densfun = "lognormal",
  cred_mass = 0.954,
  plot = FALSE,
  scale_p = FALSE
)

Arguments

x

A data.frame with columns c("series", "swr", "waneyedge" , "last"), Column "sw_model" is optional. Could be the output of read_fh(x, header = TRUE)

series

Name of the column in x where ID's of the tree-ring series are listed as character values.

last

Name of the column in x where calendar years assigned to the last measured ring are listed (should be numeric).

n_sapwood

Name of the column in x where the number of observed sapwood rings are listed (should be numeric)

waneyedge

Name of the column in x indicating the presence (TRUE)/absence (FALSE) of waney edge (should be a logical).

sw_data

The name of the sapwood data set to use for modelling. It should be one of the data sets listed in sw_data_overview(), or the name of a data.frame with sapwood data in columns n_sapwood and count.

densfun

Name of the density function fitted to the sapwood data set. Should be one of:

  • lognormal (the default value),

  • normal,

  • weibull,

  • gammma.

cred_mass

A scalar [0, 1] specifying the mass within the credible interval (default = .954).

plot

A logical.

  • If TRUE, sw_sum_plot() is triggered and a ggplot-style graph is returned with the summed probability density (SPD).

  • If FALSE, a list with the numeric output of the modelling process is returned.

scale_p

A logical. If TRUE the summed probability density is scaled to 1 (default).

Value

Depends on the value of plot.

See also

Examples

trs_example7
#>   series last n_sapwood waneyedge
#> 1 trs_34 1000         5     FALSE
#> 2 trs_35 1009        10     FALSE
#> 3 trs_36 1007        15      TRUE
#> 4 trs_37 1007        16      TRUE
#> 5 trs_38 1010         8     FALSE
#> 6 trs_39 1020         0     FALSE
#> 7 trs_40 1025        10     FALSE
#> 8 trs_41 1050        NA      TRUE
#> 9 trs_42 1035         1     FALSE

sw_sum(trs_example7, densfun = "lognormal", cred_mass = 0.63, plot = FALSE)
#> Warning: --> 1 series without sapwood rings or waney edge detected
#>         and removed from the data set
#>     year       trs_34       trs_35 trs_36 trs_37       trs_38       trs_39
#> 1   1000 2.920043e-03           NA     NA     NA           NA           NA
#> 2   1001 7.851298e-03           NA     NA     NA           NA           NA
#> 3   1002 1.559931e-02           NA     NA     NA           NA           NA
#> 4   1003 2.530653e-02           NA     NA     NA           NA           NA
#> 5   1004 3.560188e-02           NA     NA     NA           NA           NA
#> 6   1005 4.514475e-02           NA     NA     NA           NA           NA
#> 7   1006 5.295763e-02           NA     NA     NA           NA           NA
#> 8   1007 5.852318e-02           NA      1      1           NA           NA
#> 9   1008 6.172910e-02           NA     NA     NA           NA           NA
#> 10  1009 6.275012e-02 4.946162e-02     NA     NA           NA           NA
#> 11  1010 6.192577e-02 5.802159e-02     NA     NA 2.599192e-02           NA
#> 12  1011 5.966178e-02 6.411934e-02     NA     NA 3.656611e-02           NA
#> 13  1012 5.636249e-02 6.763182e-02     NA     NA 4.636743e-02           NA
#> 14  1013 5.239111e-02 6.875047e-02     NA     NA 5.439192e-02           NA
#> 15  1014 4.805105e-02 6.784729e-02     NA     NA 6.010820e-02           NA
#> 16  1015 4.358132e-02 6.536681e-02     NA     NA 6.340095e-02           NA
#> 17  1016 3.916031e-02 6.175203e-02     NA     NA 6.444962e-02           NA
#> 18  1017 3.491366e-02 5.740090e-02     NA     NA 6.360294e-02           NA
#> 19  1018 3.092373e-02 5.264582e-02     NA     NA 6.127763e-02           NA
#> 20  1019 2.723891e-02 4.774869e-02     NA     NA 5.788899e-02           NA
#> 21  1020 2.388199e-02 4.290493e-02     NA     NA 5.381005e-02 0.000000e+00
#> 22  1021 2.085722e-02 3.825220e-02     NA     NA 4.935244e-02 1.143866e-10
#> 23  1022 1.815606e-02 3.388074e-02     NA     NA 4.476166e-02 1.107676e-06
#> 24  1023 1.576156e-02 2.984357e-02     NA     NA 4.022091e-02 6.572213e-05
#> 25  1024 1.365177e-02 2.616565e-02     NA     NA 3.585924e-02 6.697701e-04
#> 26  1025 1.180219e-02 2.285165e-02     NA     NA 3.176125e-02 2.917902e-03
#> 27  1026 1.018753e-02 1.989219e-02     NA     NA 2.797663e-02 7.845541e-03
#> 28  1027 8.782840e-03 1.726872e-02     NA     NA 2.452880e-02 1.558787e-02
#> 29  1028 7.564365e-03 1.495719e-02     NA     NA 2.142211e-02 2.528798e-02
#> 30  1029 6.509952e-03 1.293075e-02     NA     NA 1.864779e-02 3.557577e-02
#> 31  1030 5.599317e-03 1.116169e-02     NA     NA 1.618844e-02 4.511164e-02
#> 32  1031 4.814127e-03 9.622680e-03     NA     NA 1.402151e-02 5.291880e-02
#> 33  1032 4.137990e-03 8.287691e-03     NA     NA 1.212184e-02 5.848027e-02
#> 34  1033 3.556369e-03 7.132453e-03     NA     NA 1.046344e-02 6.168383e-02
#> 35  1034 3.056461e-03 6.134739e-03     NA     NA 9.020711e-03 6.270410e-02
#> 36  1035 2.627053e-03 5.274467e-03     NA     NA 7.769235e-03 6.188036e-02
#> 37  1036 2.258366e-03 4.533676e-03     NA     NA 6.686265e-03 5.961803e-02
#> 38  1037 1.941909e-03 3.896439e-03     NA     NA 5.750966e-03 5.632116e-02
#> 39  1038 1.670326e-03 3.348729e-03     NA     NA 4.944510e-03 5.235269e-02
#> 40  1039 1.437267e-03 2.878259e-03     NA     NA 4.250061e-03 4.801581e-02
#> 41  1040 1.237256e-03 2.474318e-03     NA     NA 3.652688e-03 4.354936e-02
#> 42  1041 1.065583e-03 2.127600e-03     NA     NA 3.139241e-03 3.913159e-02
#> 43  1042 9.182015e-04 1.830048e-03     NA     NA 2.698203e-03 3.488806e-02
#> 44  1043 7.916380e-04 1.574702e-03     NA     NA 2.319531e-03 3.090105e-02
#> 45  1044 6.829145e-04 1.355566e-03     NA     NA 1.994503e-03 2.721893e-02
#> 46  1045 5.894792e-04 1.167477e-03     NA     NA 1.715565e-03 2.386447e-02
#> 47  1046 5.091468e-04 1.006003e-03     NA     NA 1.476193e-03 2.084193e-02
#> 48  1047 4.400463e-04 8.673367e-04     NA     NA 1.270765e-03 1.814275e-02
#> 49  1048 3.805764e-04 7.482168e-04     NA     NA 1.094443e-03 1.575000e-02
#> 50  1049 3.293667e-04 6.458469e-04     NA     NA 9.430697e-04 1.364176e-02
#> 51  1050 2.852445e-04 5.578329e-04     NA     NA 8.130784e-04 1.179354e-02
#> 52  1051 2.472060e-04 4.821247e-04     NA     NA 7.014103e-04 1.018006e-02
#> 53  1052 2.143919e-04 4.169682e-04     NA     NA 6.054444e-04 8.776400e-03
#> 54  1053 1.860666e-04 3.608617e-04     NA     NA 5.229363e-04 7.558818e-03
#> 55  1054 1.616000e-04 3.125204e-04     NA     NA 4.519643e-04 6.505178e-03
#> 56  1055 1.404525e-04 2.708445e-04     NA     NA 3.908837e-04 5.595211e-03
#> 57  1056 1.221612e-04 2.348926e-04     NA     NA 3.382872e-04 4.810596e-03
#> 58  1057 1.063297e-04 2.038588e-04     NA     NA 2.929699e-04 4.134955e-03
#> 59  1058 9.261748e-05 1.770527e-04     NA     NA 2.539012e-04 3.553761e-03
#> 60  1059 8.073262e-05 1.538829e-04     NA     NA 2.201984e-04 3.054220e-03
#> 61  1060 7.042428e-05 1.338427e-04     NA     NA 1.911059e-04 2.625127e-03
#> 62  1061 6.147701e-05 1.164972e-04     NA     NA 1.659767e-04 2.256710e-03
#> 63  1062 5.370554e-05 1.014738e-04     NA     NA 1.442564e-04 1.940485e-03
#> 64  1063 4.695055e-05 8.845250e-05     NA     NA 1.254698e-04 1.669101e-03
#> 65  1064 4.107488e-05 7.715845e-05     NA     NA 1.092095e-04 1.436213e-03
#> 66  1065 3.596040e-05 6.735561e-05     NA     NA 9.512589e-05 1.236348e-03
#> 67  1066 3.150532e-05 5.884102e-05     NA     NA 8.291914e-05 1.064802e-03
#> 68  1067 2.762185e-05 5.144010e-05     NA     NA 7.233162e-05 9.175282e-04
#> 69  1068 2.423423e-05 4.500257e-05     NA     NA 6.314202e-05 7.910575e-04
#> 70  1069 2.127706e-05 3.939903e-05     NA     NA 5.516008e-05 6.824137e-04
#> 71  1070 1.869382e-05 3.451794e-05     NA     NA 4.822214e-05 5.890470e-04
#> 72  1071 1.643562e-05 3.026313e-05     NA     NA 4.218733e-05 5.087734e-04
#> 73  1072 1.446018e-05 2.655158e-05     NA     NA 3.693433e-05 4.397236e-04
#> 74  1073 1.273089e-05 2.331164e-05     NA     NA 3.235859e-05 3.802973e-04
#> 75  1074 1.121603e-05 2.048137e-05     NA     NA 2.836994e-05 3.291252e-04
#> 76  1075 9.888093e-06 1.800724e-05     NA     NA 2.489058e-05 2.850353e-04
#> 77  1076 8.723209e-06 1.584291e-05     NA     NA 2.185332e-05 2.470247e-04
#> 78  1077 7.700665e-06 1.394826e-05     NA     NA 1.920011e-05 2.142346e-04
#> 79  1078 6.802458e-06 1.228854e-05     NA     NA 1.688075e-05 1.859301e-04
#> 80  1079 6.012940e-06 1.083362e-05     NA     NA 1.485181e-05 1.614815e-04
#> 81  1080 5.318494e-06 9.557348e-06     NA     NA 1.307569e-05 1.403495e-04
#> 82  1081 4.707268e-06 8.437024e-06     NA     NA 1.151980e-05 1.220717e-04
#> 83  1082 4.168935e-06 7.452929e-06     NA     NA 1.015590e-05 1.062517e-04
#> 84  1083 3.694492e-06 6.587914e-06     NA     NA 8.959465e-06 9.254956e-05
#> 85  1084 3.276086e-06 5.827064e-06     NA     NA 7.909226e-06 8.067341e-05
#> 86  1085 2.906861e-06 5.157390e-06     NA     NA 6.986693e-06 7.037264e-05
#> 87  1086 2.580830e-06 4.567580e-06     NA     NA 6.175792e-06 6.143192e-05
#> 88  1087 2.292757e-06 4.047769e-06     NA     NA 5.462538e-06 5.366616e-05
#> 89  1088 2.038063e-06 3.589354e-06     NA     NA 4.834758e-06 4.691612e-05
#> 90  1089 1.812742e-06 3.184824e-06     NA     NA 4.281844e-06 4.104476e-05
#> 91  1090 1.613283e-06 2.827616e-06     NA     NA 3.794552e-06 3.593403e-05
#> 92  1091 1.436610e-06 2.511997e-06     NA     NA 3.364814e-06 3.148221e-05
#> 93  1092 1.280025e-06 2.232949e-06     NA     NA 2.985589e-06 2.760159e-05
#> 94  1093 1.141162e-06 1.986082e-06     NA     NA 2.650728e-06 2.421646e-05
#> 95  1094 1.017941e-06 1.767550e-06     NA     NA 2.354853e-06 2.126146e-05
#> 96  1095 9.085354e-07 1.573983e-06     NA     NA 2.093262e-06 1.868011e-05
#> 97  1096 8.113406e-07 1.402425e-06     NA     NA 1.861838e-06 1.642356e-05
#> 98  1097 7.249434e-07 1.250283e-06     NA     NA 1.656977e-06 1.444958e-05
#> 99  1098 6.481003e-07 1.115279e-06     NA     NA 1.475519e-06 1.272156e-05
#> 100 1099 5.797162e-07 9.954121e-07     NA     NA 1.314693e-06 1.120781e-05
#> 101 1100 5.188255e-07 8.889233e-07     NA     NA 1.172068e-06 9.880841e-06
#> 102 1101           NA 7.942645e-07     NA     NA 1.045510e-06 8.716812e-06
#> 103 1102           NA 7.100736e-07     NA     NA 9.331418e-07 7.695018e-06
#> 104 1103           NA 6.351503e-07     NA     NA 8.333145e-07 6.797470e-06
#> 105 1104           NA 5.684371e-07     NA     NA 7.445774e-07 6.008530e-06
#> 106 1105           NA 5.090011e-07     NA     NA 6.656532e-07 5.314594e-06
#> 107 1106           NA 4.560195e-07     NA     NA 5.954169e-07 4.703816e-06
#> 108 1107           NA 4.087654e-07     NA     NA 5.328771e-07 4.165877e-06
#> 109 1108           NA 3.665970e-07     NA     NA 4.771594e-07 3.691782e-06
#> 110 1109           NA 3.289465e-07     NA     NA 4.274921e-07 3.273683e-06
#> 111 1110           NA           NA     NA     NA 3.831942e-07 2.904730e-06
#> 112 1111           NA           NA     NA     NA           NA 2.578937e-06
#> 113 1112           NA           NA     NA     NA           NA 2.291076e-06
#> 114 1113           NA           NA     NA     NA           NA 2.036569e-06
#> 115 1114           NA           NA     NA     NA           NA 1.811413e-06
#> 116 1115           NA           NA     NA     NA           NA 1.612100e-06
#> 117 1116           NA           NA     NA     NA           NA 1.435557e-06
#> 118 1117           NA           NA     NA     NA           NA 1.279087e-06
#> 119 1118           NA           NA     NA     NA           NA 1.140325e-06
#> 120 1119           NA           NA     NA     NA           NA 1.017194e-06
#> 121 1120           NA           NA     NA     NA           NA 9.078691e-07
#> 122 1121           NA           NA     NA     NA           NA           NA
#> 123 1122           NA           NA     NA     NA           NA           NA
#> 124 1123           NA           NA     NA     NA           NA           NA
#> 125 1124           NA           NA     NA     NA           NA           NA
#> 126 1125           NA           NA     NA     NA           NA           NA
#> 127 1126           NA           NA     NA     NA           NA           NA
#> 128 1127           NA           NA     NA     NA           NA           NA
#> 129 1128           NA           NA     NA     NA           NA           NA
#> 130 1129           NA           NA     NA     NA           NA           NA
#> 131 1130           NA           NA     NA     NA           NA           NA
#> 132 1131           NA           NA     NA     NA           NA           NA
#> 133 1132           NA           NA     NA     NA           NA           NA
#> 134 1133           NA           NA     NA     NA           NA           NA
#> 135 1134           NA           NA     NA     NA           NA           NA
#> 136 1135           NA           NA     NA     NA           NA           NA
#>           trs_40       trs_42          spd spd_wk
#> 1             NA           NA 2.920043e-03      0
#> 2             NA           NA 7.851298e-03      0
#> 3             NA           NA 1.559931e-02      0
#> 4             NA           NA 2.530653e-02      0
#> 5             NA           NA 3.560188e-02      0
#> 6             NA           NA 4.514475e-02      0
#> 7             NA           NA 5.295763e-02      0
#> 8             NA           NA 5.852318e-02      2
#> 9             NA           NA 6.172910e-02      0
#> 10            NA           NA 1.122117e-01      0
#> 11            NA           NA 1.459393e-01      0
#> 12            NA           NA 1.603472e-01      0
#> 13            NA           NA 1.703617e-01      0
#> 14            NA           NA 1.755335e-01      0
#> 15            NA           NA 1.760065e-01      0
#> 16            NA           NA 1.723491e-01      0
#> 17            NA           NA 1.653620e-01      0
#> 18            NA           NA 1.559175e-01      0
#> 19            NA           NA 1.448472e-01      0
#> 20            NA           NA 1.328766e-01      0
#> 21            NA           NA 1.205970e-01      0
#> 22            NA           NA 1.084619e-01      0
#> 23            NA           NA 9.679957e-02      0
#> 24            NA           NA 8.589176e-02      0
#> 25            NA           NA 7.634643e-02      0
#> 26  4.946162e-02           NA 1.187946e-01      0
#> 27  5.802159e-02           NA 1.239235e-01      0
#> 28  6.411934e-02           NA 1.302876e-01      0
#> 29  6.763182e-02           NA 1.368635e-01      0
#> 30  6.875047e-02           NA 1.424147e-01      0
#> 31  6.784729e-02           NA 1.459084e-01      0
#> 32  6.536681e-02           NA 1.467439e-01      0
#> 33  6.175203e-02           NA 1.447798e-01      0
#> 34  5.740090e-02           NA 1.402370e-01      0
#> 35  5.264582e-02           NA 1.335618e-01      0
#> 36  4.774869e-02 1.143865e-10 1.252998e-01      0
#> 37  4.290493e-02 1.107675e-06 1.160024e-01      0
#> 38  3.825220e-02 6.572208e-05 1.062284e-01      0
#> 39  3.388074e-02 6.697696e-04 9.686677e-02      0
#> 40  2.984357e-02 2.917900e-03 8.934286e-02      0
#> 41  2.616565e-02 7.845534e-03 8.492481e-02      0
#> 42  2.285165e-02 1.558785e-02 8.390352e-02      0
#> 43  1.989219e-02 2.528795e-02 8.551466e-02      0
#> 44  1.726872e-02 3.557574e-02 8.843139e-02      0
#> 45  1.495719e-02 4.511160e-02 9.132071e-02      0
#> 46  1.293075e-02 5.291876e-02 9.318650e-02      0
#> 47  1.116169e-02 5.848022e-02 9.347518e-02      0
#> 48  9.622680e-03 6.168378e-02 9.202736e-02      0
#> 49  8.287691e-03 6.270405e-02 8.896498e-02      0
#> 50  7.132453e-03 6.188030e-02 8.457280e-02      0
#> 51  6.134739e-03 5.961798e-02 7.920241e-02      0
#> 52  5.274467e-03 5.632111e-02 7.320638e-02      0
#> 53  4.533676e-03 5.235265e-02 6.689953e-02      0
#> 54  3.896439e-03 4.801577e-02 6.054089e-02      0
#> 55  3.348729e-03 4.354933e-02 5.432932e-02      0
#> 56  2.878259e-03 3.913156e-02 4.840721e-02      0
#> 57  2.474318e-03 3.488803e-02 4.286828e-02      0
#> 58  2.127600e-03 3.090103e-02 3.776674e-02      0
#> 59  1.830048e-03 2.721891e-02 3.312629e-02      0
#> 60  1.574702e-03 2.386445e-02 2.894819e-02      0
#> 61  1.355566e-03 2.084191e-02 2.521798e-02      0
#> 62  1.167477e-03 1.814273e-02 2.191087e-02      0
#> 63  1.006003e-03 1.574999e-02 1.899591e-02      0
#> 64  8.673367e-04 1.364175e-02 1.643906e-02      0
#> 65  7.482168e-04 1.179353e-02 1.420540e-02      0
#> 66  6.458469e-04 1.018005e-02 1.226069e-02      0
#> 67  5.578329e-04 8.776392e-03 1.057229e-02      0
#> 68  4.821247e-04 7.558812e-03 9.109858e-03      0
#> 69  4.169682e-04 6.505173e-03 7.845578e-03      0
#> 70  3.608617e-04 5.595206e-03 6.754318e-03      0
#> 71  3.125204e-04 4.810592e-03 5.813594e-03      0
#> 72  2.708445e-04 4.134952e-03 5.003456e-03      0
#> 73  2.348926e-04 3.553758e-03 4.306320e-03      0
#> 74  2.038588e-04 3.054218e-03 3.706775e-03      0
#> 75  1.770527e-04 2.625124e-03 3.191370e-03      0
#> 76  1.538829e-04 2.256709e-03 2.748413e-03      0
#> 77  1.338427e-04 1.940483e-03 2.367770e-03      0
#> 78  1.164972e-04 1.669100e-03 2.040681e-03      0
#> 79  1.014738e-04 1.436212e-03 1.759587e-03      0
#> 80  8.845250e-05 1.236347e-03 1.517980e-03      0
#> 81  7.715845e-05 1.064801e-03 1.310260e-03      0
#> 82  6.735561e-05 9.175274e-04 1.131619e-03      0
#> 83  5.884102e-05 7.910569e-04 9.779274e-04      0
#> 84  5.144010e-05 6.824132e-04 8.456447e-04      0
#> 85  4.500257e-05 5.890465e-04 7.317349e-04      0
#> 86  3.939903e-05 5.087730e-04 6.335956e-04      0
#> 87  3.451794e-05 4.397232e-04 5.489973e-04      0
#> 88  3.026313e-05 3.802970e-04 4.760293e-04      0
#> 89  2.655158e-05 3.291249e-04 4.130548e-04      0
#> 90  2.331164e-05 2.850351e-04 3.586709e-04      0
#> 91  2.048137e-05 2.470245e-04 3.116753e-04      0
#> 92  1.800724e-05 2.142345e-04 2.710373e-04      0
#> 93  1.584291e-05 1.859300e-04 2.358730e-04      0
#> 94  1.394826e-05 1.614814e-04 2.054241e-04      0
#> 95  1.228854e-05 1.403494e-04 1.790397e-04      0
#> 96  1.083362e-05 1.220716e-04 1.561611e-04      0
#> 97  9.557348e-06 1.062516e-04 1.363081e-04      0
#> 98  8.437024e-06 9.254949e-05 1.190683e-04      0
#> 99  7.452929e-06 8.067335e-05 1.040867e-04      0
#> 100 6.587914e-06 7.037258e-05 9.105813e-05      0
#> 101 5.827064e-06 6.143187e-05 7.971960e-05      0
#> 102 5.157390e-06 5.366612e-05 6.938010e-05      0
#> 103 4.567580e-06 4.691608e-05 6.082190e-05      0
#> 104 4.047769e-06 4.104472e-05 5.335843e-05      0
#> 105 3.589354e-06 3.593400e-05 4.684490e-05      0
#> 106 3.184824e-06 3.148219e-05 4.115626e-05      0
#> 107 2.827616e-06 2.760157e-05 3.618444e-05      0
#> 108 2.511997e-06 2.421644e-05 3.183596e-05      0
#> 109 2.232949e-06 2.126144e-05 2.802993e-05      0
#> 110 1.986082e-06 1.868009e-05 2.469630e-05      0
#> 111 1.767550e-06 1.642355e-05 2.147903e-05      0
#> 112 1.573983e-06 1.444957e-05 1.860249e-05      0
#> 113 1.402425e-06 1.272155e-05 1.641505e-05      0
#> 114 1.250283e-06 1.120780e-05 1.449465e-05      0
#> 115 1.115279e-06 9.880833e-06 1.280753e-05      0
#> 116 9.954121e-07 8.716805e-06 1.132432e-05      0
#> 117 8.889233e-07 7.695012e-06 1.001949e-05      0
#> 118 7.942645e-07 6.797464e-06 8.870816e-06      0
#> 119 7.100736e-07 6.008526e-06 7.858924e-06      0
#> 120 6.351503e-07 5.314590e-06 6.966934e-06      0
#> 121 5.684371e-07 4.703812e-06 6.180118e-06      0
#> 122 5.090011e-07 4.165874e-06 4.674875e-06      0
#> 123 4.560195e-07 3.691779e-06 4.147799e-06      0
#> 124 4.087654e-07 3.273681e-06 3.682446e-06      0
#> 125 3.665970e-07 2.904727e-06 3.271324e-06      0
#> 126 3.289465e-07 2.578935e-06 2.907882e-06      0
#> 127           NA 2.291074e-06 2.291074e-06      0
#> 128           NA 2.036567e-06 2.036567e-06      0
#> 129           NA 1.811411e-06 1.811411e-06      0
#> 130           NA 1.612099e-06 1.612099e-06      0
#> 131           NA 1.435555e-06 1.435555e-06      0
#> 132           NA 1.279086e-06 1.279086e-06      0
#> 133           NA 1.140324e-06 1.140324e-06      0
#> 134           NA 1.017193e-06 1.017193e-06      0
#> 135           NA 9.078684e-07 9.078684e-07      0
#> 136           NA 8.107449e-07 8.107449e-07      0