Estimating relatedness between samples
Before doing anything, we will need to load some additional
packages:
# load some packages
library(here)
We will use a dataset of bi-allelic data already in the
mipanalyzer_biallelic
format and filtered down to the
samples of interest (see earlier tutorial). We can load this example
data as follows:
# read mipanalyzer_biallelic from path
dat_path <- here("inst/extdata", "dat_biallelic.rds")
dat_biallelic <- readRDS(dat_path)
We want to estimate how related each sample is to each other as a
proportion between 0 and 1. This is not the same thing as simply
comparing genotypes because a samples may be have identical information
at a given locus (identity in state, IBS) without sharing a recent
common ancestor (identity by descent, IBD). In order to work out IBD, we
have to somehow account for the chance probability of being the
same.
One approach that was used in this paper is
to use the population-level allele frequencies (PLAFs) as our model for
how likely a sample is to carry the REF vs. ALT allele. Let p be the PLAF of the REF allele at a
given locus, and q = 1 − p be the PLAF of
the ALT allele. We can write down the probability of two samples being
identical for the REF allele (Homo
REF), identical for the ALT allele (Homo ALT), or non-identical (Het) as a function of these allele
frequencies and the inbreeding coefficient, f:
Pr(Homo
REF) = fp + (1−f)p2
Pr(Homo
ALT) = fq + (1−f)q2
Pr(Het) = (1−f)2pq
Taking the product of these probabilities over all loci, we arrive at
a likelihood in terms of f. We
can then find the maximum likelihood estimate (MLE) of f. Note that this approach assumes
that every locus is an independent draw from the PLAFs and that f is independent across loci, both
of which are untrue. A more thorough approach is presented in tools like
hmmIBD or isoRelate.
Nevertheless, this is a quick and easy way of getting an impression of
relatedness between samples.
The function inbreeding_mle()
performs all of the steps
above on all pairwise samples:
mle_inbreeding <- inbreeding_mle(dat_biallelic, report_progress = FALSE)
mle_inbreeding$mle[1:5,1:5]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] NA 0 0 0 0
#> [2,] NA NA 0 0 0
#> [3,] NA NA NA 0 0
#> [4,] NA NA NA NA 0
#> [5,] NA NA NA NA NA
We can see that for the first 5 samples our best estimate is that
these samples are completely unrelated. We can convert this into a
genetic distance by taking one minus the relatedness, which results less
related samples having a greater distance between them. We can then
visualise the matrix of distances between all samples:
# convert to a distance
dist_inbreeding <- 1 - mle_inbreeding$mle
# plot all pairwise distances between samples
plot_distance(dist_inbreeding, col_pal = "magma")
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)
There are a few pairs of samples that jump out as having low
distances (high relatedness). We can identify these samples:
# find the highly related pairs
which(dist_inbreeding <= 0.1, arr.ind = TRUE)
#> row col
#> [1,] 53 54
#> [2,] 49 58
#> [3,] 69 71
We can see that samples 53 and 54 appear to be highly related. It is
interesting to look at the within-sample allele frequencies (WSAFs) of
all samples from 51 to 55:
# plot WSAFs of samples 51 through 55
wsaf <- get_wsaf(dat_biallelic)
plot_wsaf(wsaf[51:55,])
![](data:image/png;base64,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)
Most samples have clearly different patterns of WSAFs, but we can see
that samples 53 and 54 (the 3rd and 4th rows of this plot) have almost
identical WSAFs everywhere. This is a sanity check of what the MLE
inbreeding value is telling us - that these samples are more similar
than we would expect by chance. It is very likely that these are
identical (clonal) strains in two individuals, which may imply a short
transmission chain between them.
Comparing different distance metrics
Several different methods for calculating genetic distances are
implemented inside MIPanalyzer
. Let’s calculate a few of
them and compare results:
dist_genomic <- get_genomic_distance(dat_biallelic, report_progress = FALSE)
dist_IBS <- get_IBS_distance(dat_biallelic, report_progress = FALSE)
dist_mixture <- 1 - get_IB_mixture(dat_biallelic, report_progress = FALSE)
upper <- upper.tri(dist_genomic)
data.frame(MLE_inbreeding = dist_inbreeding[upper],
genomic = dist_genomic[upper],
IBS = dist_IBS[upper],
mixture = dist_mixture[upper]) |>
plot()
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+9eiV9SSQSlXpfibp16965c6fU2nbv3s30gJmZmTE/NSYmJsxSnTt3trS0JIRYW1v/+eefPXv2VFNTK1otj8cbP358YWFh5d9mZZw8edLAwKDYW9DU1Ny9e3f5C0okkqFDhzLlDQ0NHRwcmDdFCPH29pZ5O6EyIiMjCSFBQUHVr4q53SmPx6t+VVCWzMzMbdu2jRs3btSoUUuWLHn69GlZJZcvX04I4XK5gYGBUVFRJ0+eXLJkCXOmz97evqCggKbpqVOnlux14/P5/v7+Xbt21dfXJ4QIBIJz586VrFxdXb2ckCVN6bq6ug4ODswvFSGkXbt22dnZcv2IaoOsrCzmV1HRDVFCCPCyhwAPyq38gWQmJibSkgjwADKnkAAvkUgiIiKaNWsm3dLt7e137NhRVvmNGzcWu009RVE6OjpNmzbt06dPjx49mONjXV1dLpdrYGDg7OzcpEkT5gfky5cvxWr78uWLnp4eIWT27NlMF/2uXbtomj506JCKigpFUatWrSrWncXhcDp16jRhwoTGjRszO+VmzZrdvXu3kp/My5cv58+fP2DAgP79+//xxx+PHz8uVuD+/fvMaYIffvghOjo6Pj7+6NGj/v7+THI7e/ZsOZVv3ryZEKKlpbVr1y7mPh00TcfGxhobGxNC/vjjj0o2smYIhcJdu3b16tWradOmzZs379+/f2xsrKIbJXsI8CyyY8eOYjds5nA4w4YNy83NFQqFcXFxmzZtCg8Pv3LlyrNnz/h8frFYbmRkZGlpyfxijBw5cvXq1Uw+nzZt2rJly5ht09XVteThDUVRRkZGnp6e165do2n6zz//ZJ709vYeN24cM3aG+bXp16/f4cOHnZycmAWnTJkiPRCKi4uztrYmhIwePVqBn2FGRsayZct++OEHOzs7R0fHkJCQyv88Vh4CvPwgwMseAjwosZiYmHLSO0N6SIoADyBzNR/gxWLxwIEDma1bR0enfv360nDu5eWVlJRUrPy6deuYV7t27dqtW7fKX1DGDD6fMWMGTdOpqanx8fHHjx/fvXv38OHDCSHu7u5Mgzt06CBd1+TJkwkh0mHnzLrs7e3LGog+cuRIpov77t27wcHBtra2enp6DRs2/Omnnx49esS82d9++63Y4hRFhYSEFO0b9/b2JoQ0bty4d+/egwcP3rBhQ2ZmJk3TM2bMIIS0bt262Gfy6NGjv//+e9euXbdv37azsyOE7Nmzp1iZixcvEkLU1dXnz5+/devWd+/eVfgXTElJOXfu3NmzZxMTE5lnCgoK/v777zFjxvTp0+eXX345dOiQ9Af5O6SmppaaZHr27Jmbm/vd1dZCCPC1R25u7qVLl44dO3b79m2RSFTs1cjISGYz79Sp09KlS9euXTts2DDmbFqzZs2Ys2BSlbkghUn4+/bto2m6e/fuhJC1a9dKL5g1NDQstZIuXboIBAIul7t3716apjt27EgICQ0NXbBgAXPkU/R3sl27dkXfwqNHj3g8nkAgSE9Pp2k6NTX1/PnzZ86cSUhIKFosNTU1LCwsODh4wIAB06dPv3nzpqw+4fj4+Lp16xZ7RxwOZ/bs2bJaBQMBXn4Q4GUPAR6UmIODQ4W7wxs3bjCFEeABZK4GArxEIrl69erKlSsXLFiwbdu2uXPnEkJ0dHR27twpEomuXr3q4uJSdJPv1KmTdOh7amoqc9gaHh6+aNEi5rhQIBCQb+laVVVVuqClpeXx48ffvXu3aNEi6bh3dXX1Uof56Onp/fjjj4SQCRMmLFmypEuXLvXr12/QoAHzanBwMPPA29ubpumuXbtKj0qLHqESQkaOHLly5Urm16kogUAwc+ZM6SgDVVXVxo0bu7m52draMgt6enoy7/Hu3bslz0qoqqo2bdrU3t6eyQN79uxhAv+lS5datWpVrLCmpmaxZPL69evOnTsXLcPhcAYNGsQc4pf08OFDDw+Pos1o167dxo0bS17t37x585IjCCpDLBa3bduWEGJgYBAUFPTXX3+dO3du6dKlzIji/v37f0edtRYCfG2QlZU1ePBg5ueCYWxsvGLFCrFYnJ2dPW/ePOnFJhwOp169etOmTVu1atUff/zRvn37otuCoaGhu7t70VE5rVu3ZuaJLHZ9DbOUrq5ubm7umDFjmKzONKAys9YFBQXl5+dHR0dTFCUQCJhhRKWaOnVq0VNpnTp1IoRs3LjR09OzaMtdXFwuXrxI0/T69etLDs4PCAjIyMio5of88eNHQ0NDQkibNm1mzpw5Z86cadOmDRw4kPlJXLNmTTXrLwoBXn4Q4GUPAR6UGHPoVr6FCxcyhRHgAWRO3gH+zp07LVu2LHmMu3//fpqmDx48yARULS0t5ip0aSw/ffo0/W2OjO7du8+cObNYytXQ0CDf+ruKatKkyc2bNw8dOlThbwuj6PG91IQJE5gHy5Yt2717d1nLUt9wOJwBAwbs37//zZs3ERERtra2lVl1o0aNHj9+zLxxPp+/ePHiXbt2tW7dutTC5ubmkyZNYt6vsbGxv7//jz/+KE0gmzZtkn7mb9++ZSbTYgoHBgb26dOHOdPh5OSUlpa2cePGgICADh069OjRY+HChQcPHmRyiEAgaNCgQcuWLYse6zdv3jwkJGTChAndu3dnrtLX19evTH9+Uc+ePWNGGRSloqIyduzYu3fvMudo4uPjP3/+vHnzZn9//6ZNm9arV8/R0XH48OEnT56s/pezhiHAK0RGRob0UvDExMSyDjBcXFxK9hiXSkVFpZzJ4SiK+vXXX319fUtdsDL1F+Pq6qqtrV3qSyXzv6mp6ZAhQ7Zt2xYfH+/h4UG+/ZQJBIJ69eq1aNGCuT6Iy+WOHDmSWcTHx2f+/PkBAQG2trbMAVWrVq2qM6aGpulx48YRQho1asRclyTF/FZwuVwbGxs3N7fJkyeXM7NAJSHAyw8CvOwhwIMSK3nwXdLKlSuZwgjwADIn1wB/+/ZtJptZWFiEhIT8/vvv7u7uzHbt6en58eNH5hCzWIRm9noqKipz58718/MjhNSvX595SVtbm6IoLpfLpPeimIDK/KSoqalJp4OWMjMza926tfQsQMnczlySWvLJov9VU1Pbtm1bz549yy9WVMkj76K/e9IRBKampmfOnGGGzkqP/rlcrqamZrHFx48fX1BQIBQKL1++vGDBAuZJFRWVKVOmdO7cuUGDBswFvS4uLkwP3sWLF8Vi8atXr5jxBcUu961QqSN+tbS0Tp06VZlvhUQimTJlSskPwcjIiKm5Y8eOoaGhhBBvb++Sb5bh6+ublZVV/a9ojUGAr0kfPnwYPXq0dLi7tbX177//zvyXoqgePXrMnz8/JCSk2DwaRRXbfiu8TqdogbIKM79U5ddTedL56ipPX1+/W7du5FsLN2/ePG/evJJjhZo1a/b58+fv/vCLDtJp06bN8OHDmzZtWmp7uFzu3Llzq/OHRoCXHwR42UOAByVWmctZg4ODmcII8AAyJ78AL5FImM7kAQMG5OXlMU9euHCBfAvPzKoZFEWVc3gtVZn7tzEzQldJlW7UamFhIZ31/buVPAFRFqaHv+jpBjs7uzZt2pQ8EC+5YNF/1dXVpZ17pqamffr0mTt37ty5c6VP2tralpWfGSVn4z906FCF34rp06eTIp/w7Nmzp02bxnTWubq6MrGEuZZBSlVV1cvLq1u3bsyZDua9+/j4VP8rWmMQ4GvMrVu36tSpI/2KFjsxt2nTpri4uCtXrjBnr77jlswcDqf8meFrofr160t/YZizgVZWVsxWRlFU/fr1R48eHR0dzZweJYS4urqWnB2gMoRCIfORqqmpHT58mKbpUaNGkX9/ztI71TNn8f7666/v/u43xysAACAASURBVFsjwMsPArzsIcCDEqvM3tTDw4MpjAAPIHPyC/C3b98mhJiamkrTO03TzO2Lme5xaXS0s7MbOnRo+b8GpQ50lxWKopycnKSrKLUl5QfmCuN0OTV/N9nWVj5XV1eapo8ePVq0A9/Y2DgzM/P58+e//vqrq6tr8+bNPTw8li5dKr3S/s2bN3w+n8fjcblc5vD9/PnzNE2/fv2auXBg9uzZ5NtoW4aWltb69euXLVu2dOnS5cuXM18SZqRGOWPpMzMznzx58v79e4lEUvR5kUh05cqVLVu2bN269erVq/v27Rs+fHjXrl39/f0XLlz47NmzM2fOREdH37x58/sCTFkQ4GtGVlYWM1elNMOXg8/nF/0ZqcnNp8YUG8cuVfLNGhsbM/fvYF7q378/M3FmVT9/ZnEPD4+5c+dOmjSJoijp4Hxm4+3WrVunTp2YE5GEEC0tLebC+7dv38bGxh45cuTFixeVXx1BgJcPBHjZQ4AHJVaZPai5uTlTGAEeQObkF+AjIiIIIYMHDy5aprCwkDnElG77Kioqxbp2oUq+L4eUtdTUqVMjIiKKzZ7FXOR/6NCh2bNnOzo6Mk8yf8egoKCSV0KZmppeuXKF/nbTbOa6CeZyfS8vr2HDhvXt25d5sm/fvtLIwcT4YqMAmM5PZk4B5iZ/FhYWgwcPfvDgQVpa2t69e8eNG9ekSRPpWGVjY+Np06ZlZ2ffu3dv2rRpzGmCytDT01u5cmWx/P/dEOBrxqpVq8i3s3saGhpOTk5Vuvi8MhPLsRSXyy25jTPd73369GHOehRjamp65MiR3bt3d+nSRUtLi8vl1qtXb+zYsWVNeLFx48aip96K+emnn8q6RtLOzk56SzyGg4NDXFxchX9uBHj5QYCXPQR4UGKVOfTU1dVlCiPAA8ic/AI8cz/kMWPGFCs2depUUvu6vyiK+u+cR2DmFCg13KqqqrZv376SAwrKoaOj8/bt259//pkQwsyhVeqU2tJ+OVLkK9GkSZPx48dPnDjR2dm5rPq5XG6xRmpoaEi7YYuN1yiW0+zt7Zl5s0uS3hqgmhDga4aPj085X0Ioh3Rzq1evXvkl1dXVjx49WuyTZ+5aX7Seql7wr6Oj4+np6eXlxWyMXC63wt0QArz8KO2pLAAoJjMz89ixY5s2bYqKikpISJDfivLy8uRXOQDICXMt+uPHj4s9P336dEdHR5qmFdGoMtE0/d/5qXnz5g0hJDk5ueRL+fn5ly5dEolEVaqwSZMms2bNCgsL8/PzY3J1RkZGkyZNzpw5Q75d8P/kyZOSCzLHjtLHzIP37997enp++fLlzp07RQtzuVwLC4vmzZvr6OiIxWKRSMSEBwsLCy0trZycHC6X6+/vTwgpLCyULkIIkUgkReu5d+/ep0+fyLcLH7S1tWfNmsWc1Dh+/LiXl1dMTExaWlpOTs7KlSs7duxYt27d+vXr+/v7HzlyRCKRvHv37vnz5/+db0ttJv1SqamplTqvhGxnklMmhoaGzObz+vXr8kvm5uZ6e3tbW1u7uLiMHTv23r17t2/fnjZtGvOqdLMVi8VVagCXy/3y5UtcXFxGRoa+vr5YLA4KCurSpYuFhYW5uXnXrl23b99e1R8i+H6KO3egtNADD7VNQUHBlClTiu4sKYry8/NLSkqqalWV6YWT9jygBx5A5uTXA5+enq6mpsbhcC5cuFCsZLFJy4DtZsyY8eTJEy8vr/J/0is/dV+FSq5IOoCiSoM7mMKurq6dO3cuuiCPx2MuvC9G2rcvEAh8fHzu3LlT6raAHng5KSgo2Lp1q7+/v4ODg7OzMzO2QkVFpTJ3tIGqKnVT4nA4MtyQy9e0adOiM+SjB15+0AMPoOREIlHv3r0XLlyYm5vr5uY2YsSInj17qqurx8TEuLi4JCYmKrqBAFAr6OjoTJo0SSKR+Pj4rFq16sOHD4WFhbdv3w4MDPz777/V1dW/71bJUAstXry4cePGzDhbUnaEzsnJkdUa6RIjOKRd4iVfkip5aQBT+MqVK+fOnZMuWLduXbFYnJGRoa6uvnPnzoSEhAsXLjADfQsLC9XV1Rs0aCCRSA4fPuzi4nLgwAFZvSko3+vXrx0dHYcMGbJ///5bt25dv36dGVvB3FVR0a1TQqVuShKJRIYbMiFEXV29UaNG0v/q6enZ2NgwZ2QePXrk4uIiw3VBWRDgAZTcpk2bYmNjjYyMrl27FhcXt3Hjxujo6NevX3fo0CEhIWHMmDGKbiAA1BYzZ84cPHhwZmbmuHHjzM3NVVRUHBwc9u3bxwxaLigoUHQDQTYKCgqK3rWu6HF/zU92UM6Q6UqOyE1ISKBpWkVFJTc39/Tp08bGxrNmzfr06VOTJk0EAkF+fv7Ro0eTk5NHjx5dUFAQFBT0/v172TUfSpebm9utW7cHDx5YWFg0bty42PdKiaejq1XksTnn5uY+ffpU+l8/P7/o6Ojk5GRmtpQXL14sW7ZM5iuFYrD9ACi59evXE0Jmz569atUqIyMjgUCgo6PTp0+fcePGaWhoHDp06MOHD4puIwDUClwud+vWrYcOHfLy8jIwMBAIBPXr1w8NDX3w4EH1p0mDWoUJ7SW77MrpD5ct6fT1YrG4aMzo3Lmz9HEl4weTBpkTTFu2bNHV1T1//nydOnUuXbrUv39/iUQSGxtrYGAQFhbWv3//vLw8Zi50kKvly5e/fPmSw+EkJiY+efKk2Peq2DQHICey3ZyZe0wwpKdgtm7d2rJlSwsLi5SUFDc3N0JIWFiYDFcKpcL+GECZ5efn379/n8/nh4aGSrsyhELhhQsXLly4YG5unpOTEx8f7+vrq9h2AkDt4ePjU3Ky6OzsbEKIhoZGTk4O868imgbKg/lGMYrGjPPnz5f6fDmYNEhRlIqKSn5+fm5uLiFEJBIJhcKWLVuSb7MAEkJCQkJ27dp17tw5GbwBKFtmZubChQtJkb8gRVE1dm4I5ITZshjSUzA8Hq9hw4ZPnz4NDw/X19cnhMh1mmRgoAceQJkxM4gIhcJSByImJSURQjIyMmq6WQDANsyNiJs1a0YIyc3NZW4SDiBz3x3zaJo2MjIihHh5eRFCvn79+tNPPzGRQ1VVlSljY2NDCElJSZFNW6EMU6dOlZ7jY+bOKNp5C8qB+ZtaWFg8evToxYsXbm5uX758IYSIxeKip+dAHhDgAZSZvr5+hUMQmSMeAIByeHh4cDicu3fvzpw5U0VFBZfeQC3EXNzeuHFjQohAIIiJiYmOjiaENG/enCnw8eNHQoienp7i2qj8cnJyIiIimMc0TTNdtRizo6wcHBwIIfXq1YuNjWVuLcHlcmts3vv/LAR4AGVWmUFr6IsAgApZWloOHz68oKBgw4YNixcvnjVrVvv27RXdKIDidHV1tbW1ybee/Js3bxoYGPTo0YN5lbldXLt27RTYQqV3586dvLw85q9ACMGE88qKGd4inXb+1KlT+fn5hBAzM7OanwvzvwbXwAMoM2aQfPkOHTo0aNCgGmgMALDaX3/99f79++PHj4eGhhJFTFcOUKH09PRZs2aRIrlRQ0Pjw4cPmpqaYWFhq1ev5nK5ISEhCm2jkktPTyeE2NjY3Lt3T9FtAbmbM2dObm7ulStXTp48yZw1a9WqlaIbpfwQ4AGU2adPnyosg10sAFSGqqpqbGxsZGTk5s2b4+Pj8/PzjYyMUlNTmVc5HA5mlobahqKo9+/ft2rVSkdHh/murlixokWLFopulzKrU6cOwUxmyk46wDMrK4s5ZSaFW8HXAAyhB1BmzCR25WMmHQEAqBCHwxk8ePDFixfz8vIkEklKSoqJiQnzEtI71B7Se9QxGaOgoCA1NbVRo0YxMTG//PKLQpum/Fq1aqWqqopDC+Vmb29P/j0Oy8TERFdXlxDSoUMHhTXrPwMBHkCZicXiCstgahkA+A7ModuPP/6o6IYAFMdMgi2dfJ4QIhAIbt++jXum1oCLFy8WFBQouhUgL1paWnw+/+7du4SQiRMnEkKaNm165MiRhg0bpqenu7i4uLq6KrqNyg8BHkCZvXjxosIypd5hDgCgMiZPniydrQqg9tDU1Fy9evXly5eZSV4KCwuvX7+u6EYpv+zsbB8fH9zyXSlJ+9s7derEPFizZg0hJDEx0c/PLy4uzszMbOfOnZgepQYgwAPUUkKhMC4uLiIiYvv27Xfv3v2+3WFhYWGFZbCjBYDvZmpqGhsbq6Ojo+iGAPxLdnb2iBEj2rVr9+7dOy0tLULI9u3bFd0o5Td9+vS8vDxFtwLkQnrR+6lTp3g8XqNGjZi/dUZGBp/PHzp06O3bt+vVq6foZv4nYBI7gNooMjJyypQpRe+03KJFi3Xr1lV1YBJzPRIAgPy0b9/++fPn9vb2/2PvruOiyPs4gP9mg6VTKZFGQEUsJCzEFhQDGz2747ADuxv1PD3sDmwUEUVFT+TAAJVTAQOREJCQZtmd54953EMWERVYdvm8/7jXMTM7+92VXeYzv0pJSZF0LQBlhYSEMP/z5MkTyVZSF5w+fVrSJUC1Mzc337Fjh7+//8uXL1VVVS9evOjg4MAsAg81Ay3wALXO+vXrR44cmZSU1Lhx4zFjxnh6eurr6z99+tTZ2TkoKOiHTpWZmfndY9ACDwC/SFtbe9++fYQQFgvXFVBLlb4nDtWBpmnRshRcLleyxUBVMTY2njNnDofz/0ZfiqJ0dXUHDRq0e/duHo93+vTpTp06Ib3XsDrzh7Yo9UXojYDAkMgPeZgnF2qzZ8+eeXt7s9ns/fv3R0dH79+//+jRo2/fvp05cyafzx81ahQzN08lBQcHV1+pAAAirq6uy5cvxw1BqLXS0tLOnTsn6SpkWW5urmg1Cj6fL9lioEqwWKx3796FhoaKvttpmv7777/z8vJcXFwePHjQo0cPyVZYN8lggM+L9d86e1Qfl06uo1b6vykmhM68v66XpXGTtt1cezq3NNK3GbIjPAtXGFBL7du3TyAQTJ06dcyYMaKNcnJy27Zts7e3T05Ovnz5cuXPhqlEAKDGLFu27Nq1a1ZWVpIuBOA/or+DNE0PHjz42rVrkq1HhikrK7PZbElXAVWJuSMTGhoqFAqZDlabNm0KCQlJTk4ODg5u0aKFpAuso2RtDHzBo/U9uy6+l8nc/wu5cS/h7Ok2f7l7B+Zq2/Zwb6aZ++r+7fDTXj3SqQfXpluidw/UPhEREYSQAQMGlNlOUZSHh8c///wTERExbNiwSp7NwMCgiusDAPi27t27+/r6uri4YHkLqA0MDQ2ZJkTmR4FAMG3atNjYWIz1qA7o4CB7mPtfNE0zLfCrV6+eM2eOpIsCGWuBF8Tt+X3l37kN+6y7FBH97O6hKbafDg51/v26sMOqkH8fXTt5+Lh/WHSE7wD9z7dXr76CVniojXJycgghWlpa4ruYjdnZ2ZU/2+PHj6uqMACA78rKyhowYEBJSQnuHoLEcTic9+/fi9I7IURXV/fNmzfh4eGSK0pmhYeHDxs2TCAQSLoQqBpMZwpRdHdwcAgKClq8eLGk6wJCZCzACxOuXggvquex5dD8Pq0bN23/m89+Lxt+XrH5+PXz7DX+/1KVrMdsmu3ESQ+6Gvb99bUAapyenh4hJCYmRnwXs1FfX7/yZyt94QIAUN18fX3T0tJcXFzi4+NnzJgh6XKgThPvBmJnZ0cIefHihSTKkXHe3t58Ph8D92QGm82mKCo8PFxeXp7FYgUFBXXp0kXSRcH/yVSAF3x490HAaWTXQu3/3x4cq9bNVShO4+ZNSneWZxnYNtMm2YmJn9EED7VP165dCSE+Pj5lrjzS09MPHjxICOnWrVvlz4Y/pQBQk5iJM6dNm8ZisTAYHiRrw4YNlpaWoh9VVVXr169PCEErcdV69erV0aNHb926xeFwMI2lzCguLvb09Lxz505hYaGDg4OKioqkK4L/yFSAp5RVlCnhp9RPX+aZp3PT0wuIMCsj66uZ54uzMnJptpKyAqIN1D4TJkzQ1dW9e/euu7v7s2fPCCECgeDWrVvOzs4fP37s1KlThw4dJF0jAED5mKXgzczMCCGRkZGSLgfqtAULFrx69Ur04+LFi//55x9CiIWFheSKkikRERFt2rSxsrIaOXKkQCDAzBeyRFlZuUGDBgsXLqQoaunSpZIuB74iUwGeY9nOQVsYe3zb2QQ+IYTODt/2Z3AhzQ87fuzFf93lhQlnDl7/zLVp0wJLFkItpKamdunSJS0trYCAgGbNmqmoqCgrK3fu3Dk6OrpJkyYnT578obPJyclVU50AAOLU1NQIIWlpaYSQT58+SbocqNNKtwYbGBioqKhER0fr6ek5OTlJsCqZERwc3L59+4iIiPr163fv3p0QgqkBpZf45WJubu769etpmt64cSPz7wu1h2x90hRcfp/lpPjhlKeNlX3HdjaWzmueGAyd3kcjfGnX7rP+unw37P61w0v7dpxyJUvTdZqnOVa6gNqpTZs2T58+nTZtmp6eXm5ubmFhoaWl5Zo1ayIiInR0dH7oVOVOhgcAUE0cHBwIIadPnyb4/oHagZmLS1NTc+rUqYSQLVu2cLlYhehX5eXljRw5sqioaPLkye/fv/f391dXVxctAg9Sp7j4v6ZOZvQlm812c3O7e/cupp2vhWQrwBNOY6+zF5b1MBbGR9y9/+9nnd6bz/j6/LV/auOckG2T3Ds6tus1apV/vFyLGUf+HKYvY68dZIq+vv7OnTuTkpJycnIKCgpevny5aNEiBYUf7jVSUFBQHeUBAJRr3LhxcnJy+/bt8/Hxad++vaTLgTpKT09PdP+IGfH+9OlTOTm5P/74Y+jQoRItTUZcvHgxKSnJ3t5+165d8vLyXC530KBBki4KqoChoWHHjh0JIStXrvT392/btq2kK4JyyNo68ISl03lZQNzizx9eJwm0TY005AghPXzuRrjs9b3wz9scrl5Tl8HjPDs25Em6UIBKUVZW/pWHoz8bANSkRo0abd26ddq0aV5eXoaGhoqKivn5+ZIuCuocb2/v0aNHr1q16s8//8zOztbQ0Jg2bdrYsWONjIwkXZqMYGYTGDRokGiu3MLCQolWBL9KXl6+T58+JSUl58+f19LSmjRpkqQrgm+SuQDP4KgaWKr+9yOlauU+e6u75OoBkJDc3FxJlwAAdcvUqVMNDAzmzJkTFxcn6VpAylAUJRq4rqKikpOTU/HxysrKrq6ugwcPVldX79atm2gStWXLli1atCg7O5sQYmVldevWLWaJVqgqzHtbr1495scPHz4cP36cw+FgHrvaTFlZOTc3l6IoMzMzIyOjyMhI0UwlKioqioqKZ86cIYSoqqpeuHBBU1NTosVCRWS6dY4uzk6Jj3sZHRX17GXc+9RcfKdAnYORfgBQ89zd3V+9evXkyZMTJ064urpKuhyQGkx653A45MtAXEVFRQ8PD21tbUKInJwcj/dVD0o5OblGjRrl5+dPnTq1dHRMT0/Pzs42NDRcsmRJREQE0nuV09XVJYS8fv2a+fHmzZsCgYBZBxdqrdzcXAUFhZMnT8bGxt68eZNZ+Y/NZjdo0CAnJ+fjx48aGhqjR4+OiorCAKhaThZb4IWZUWf/3HXo7LX70Ymf+aIZSCkWT8OkVSe3weNmjOthqijJCgFqSplrHQCAmsFisZo3b968efN27doZGhpKuhyopXg8XlFRkajhncPhWFlZffr0KTk5+fPnz4SQ3r17nzp1ijk4KSmpefPmzBoHhBA5ObmMjIxVq1aJn9bd3f3AgQNoQqw+nTt33rhx48GDB2fNmqWmphYfH08IuXnzpqTrgm9SVFQcPnz4nDlzGjVqxGxp1qxZhw4dbt26tWfPHicnp+Li4vr16zOTPkItJ2st8HRm6NruTeyGeO8NjEpj6ze2a+/StUevnt06d3RsbqFV8v7Bue0zezVt4XkkpkjSpQLUABUVFUmXAAB1WsOGDUXXiwBlFBX9/3Js9OjRjRs3Likpef78eXJysugANpv9+vXr169f7927197ePi0trXPnzkyDfOl5s3k8HtNi36dPH0JIVlYW0nu16tq1q729fUJCQpcuXUJCQg4fPkwI4fP5kq4L/o+iKOYTYWpqymy5ePGir69vmW9jZm9KSoqmpqauri7Su7SQrQBPf7rsNXhpcJZhnxV+EYmZn949D78bHHTtasD1m3dCH79MzMh4e//ogm71352YNHTDE3zLgOxDgAcAiQsICEBvICCE6OvrE0Lq16/fsWNHJiowGYNpMH/+/PnTp0/nz59PCJGXl2c60p84ccLc3Nzc3HzChAkfPnzo0KHD2bNnmVWpS/+BKyoqUlBQWLFiBTPJvLq6uiReXx1CUZSfn5+ZmdnDhw+dnZ3fvn0r6YrgK0yXloYNG75//54QQlFUufPJf/z4kRCioaFRw+XBL5KpAE+nXNjtl6TYefONc0s9WukpUGUPYCsbOXmuu3xtpSOJ2n8wFAkeZJ6ZmVnNPymmvgeA0szMzP7991+JfB3Bz6mmr/GkpCRVVdWrV6/euXMnNTVVT0+PpmmKoi5evDhu3LigoKBDhw5t3bqVEKKpqVlSUmJra+vq6mpsbGxiYuLm5nbixIlbt26pq6s7OjoSQlq3bn39+vUNGzasWLHi+PHj79+/X7p0KdPf3snJqTrqh9IaNmz4+PHj+fPn449+ZdRYlxDRugA0TSckJLBYLH19fZqmmQnqSktOTr516xZFUQ4ODjVTG1QVmRoDX/L2ZVwRx9a1p1GFHUDkLN16Wi9ZHffmM91RSyzkA8gSJSWlmn9SdMECgDJMTU3j4uIePHgwYsQI0cRXIBEzZ86cNGnS6NGjw8LCxPfKyckVFxcLhcLqeGoTE5OgoCBzc3NCiKam5o0bN/r27cusVrB///79+/eLjkxKSrKysgoKCmJ6y5cxZMiQJUuW3L59u1mzZuvXr5eXlyeEFBcXL168+NKlS6qqqiNHjqyO+qEMVVXV4cOHb9iwwdzc/M2bN9X0ayMDKIrKyMiogSficrmPHj16+fJlVFRUYWGhpaVlr169QkJChg8fPnPmTB0dnZ49ezJHxsfHDx48OC8vb8CAAQ0aNKiB2qAKyVSAZ6lrqrMESfEf+MSkor56RYkJqUKuhap4Ez2AjElJSan5J8UoOAAol6OjY2xs7MWLF8eOHZuZmamgoGBgYBAbGyvpuuqW7du3X758+cOHD+K7mCnlRD82adIkOjpaQ0MjMzNTRUWlbdu2SUlJz549E630RggxMTHJysrKzMwsvQKcCEVRxsbGmpqajx49IoTo6Ogw6V10/qioqMOHDx89evTp06f5+fnMGerVqzdmzJglS5YoKyuX+xI0NDQOHz7cr1+/7du3Hzt2zMnJicViPXjwIDU1lc1m79u3j5kjHWoAs55cZmYm0rs40YdC/KNR5dTU1LKzs+fMmWNjY2NjYzNw4EDRrqFDhwYGBh49erRXr15NmjSxtrZOT08PDQ0tLi42NTX9448/qrs2qHIyFeDZjXq5Wi9fte/3eZ3ObexjXH6Gz4894zX7WJJS557tFH7w/PHx8fv37y89aUq5auBTClBJ3/11rQ4YfAgA30JRVL9+/Vq2bNm5c+fXr18jvdc8iqJKj1guHbxLp/d27doFBQW1adPm+fPnXC43Jyfn5s2bTZo00dPTS0pKYo4xMjK6e/fu69evx48fX/qfUk5Ork2bNsOHD+/Ro4exsbGvr+/EiRPJl7BXmqKi4uTJkydPnkwI+fz5c0JCgqKiopGR0Xd7Zbu6ut69e3fmzJnh4eH+/v7MxhYtWmzbtq1jx44/987ATygoKCCEiJYTr+PYbLZAIGjevPnIkSNnzZpF0/Tvv/8eFBT077//io4RfeLE73kxv/alb4VoamoWFBQwb3IZHA6nW7dunTt33rt378uXL7Ozs83MzJgpJMqgKOrQoUPNmzdfv359dHR0dHQ08/CRI0du2bKlXr16VfTqoebIVIAnHNtZO2b5u23c0df6bKturl0cm1kY6qgryXNJSWHup+R3ryJDg67cfJYuqNdt+4ahOj/aAL9t27bt27dX8mCBQPCj5QNUudJXYzWmYcOGNf+kACBFjIyMnjx5smXLlhMnTiDD/yhmjOtPtBYwbXRlHuji4hIcHEwIsbCwiI+PLy4u1tXVTUlJEQgECgoK169fHzJkyL179wghJSUlUVFRpR8bHx8v/oU/cODAgwcPlh7AJUp3FffUVVVVbdKkSeVfjoODwz///BMXF/fvv//SNG1lZWVpaVn5h8PPyczMvHHjRlxcHI/Hs7GxWb58ObPd1ta2zK+HrCq3s4mGhkbfvn3Pnz+fnZ29adMm0b2q7du3jxgx4uPHj58+fRoxYsSDBw/i4uKYM4ifRLwXQ5mO923atNHW1r59+3ZeXl5JSUlAQEBAQACzy8rKKiAgQE1NrdyaWSzWrFmzpk+f/vjx44SEBFVVVTs7O8xdJ71kK8ATSq3juuCQRkvnrDwY4r/34WXxAzjq1u7eazctcjeX++Gzz549m5kHouLDFi5cSNM0hgFDbeDm5nbx4sUaflIs3gMA36WiorJ8+fLly5e/fPnSyckpMzNTtItpxZJgbT+ExWKJX3ZzudxfH0zE4XBKSkpEPzJvS5mN4pSVlTkcTmFhYUlJCTN/1bt377S0tAoKCsQbwAkhwcHB8vLyO3bsGD9+fEhIiLOzMzMxtZGRESFEX18/JCQkKCjI398/JiamoKBAT0+vW7dujo6OJ0+e9Pf3f/v2raKiYuvWrYVC4bVr1wghISEh+fn5ogBP07Sfnx/z/926dfvF90QcM0d9lZ8WxAmFwvXr169duzYvL6/0dkVFxfz8/NjY2HKTrczgcDjr1q0bMWKEsrJymcEdbDZ7woQJu3fv/vz584ABA7p06fL06VNCiLq6en5+/pEjR5jDjh49SggxMTF5+/ZtvXr1nj9/OZ35agAAIABJREFUHhcX5+rqKv7BbNiwIUVR79+/V1NTEwqF+vr6iYmJubm5GzduzM3NvXLlipaW1pIlS8LDw5OTk0NCQthsdlhY2LfSuwiXy7W3t7e3t6+yNwUkhZZNgpx34QEn92xavmiu14yp02bOmu+9ZvuBs7eepxZW+3Mzt8ZTUlKq/ZkAvufyZfHbWGVxOJzKn1A0u2kFWrRowRzMLALE5/N//YV4enoSQo4ePfrrpwKQah4eHoQQPz+/Xz8VE6s8PDx+/VS/6OHDh6LFikHEzc2t9I+ihZ3FURQ1derUt2/fil97zJw5kxCyevXqhIQEb2/vdu3alYm71tbWCQkJouNFk8adP3/+h/4Rnzx5wmKxmAqtra2DgoL4fH5hYaFoLK6uri7T/l8LMcnK09Pz10/F3Lj5oT+s0mLq1KnML1uXLl0WLlz4+++/M3MNUBTVtWvXKv3dr4169+7NvA/MdO46Ojrin8ehQ4cyUznQNG1tbU0ImTZt2pIlS4yNjQkhDRs29PX17dSpEyFk8uTJNE1nZWXp6ekRQuzt7a2tre3s7KZNmxYVFUXT9M2bNymKYrFYCxcuTElJWbVqFSFEU1NTUVGRELJt2zaapuPj41u2bEkIGTNmjIR+KSqSk5NDCFFWVpZ0ITJIVgO8JCHAQ+1x8ODB7/5N4vF4lT9hZQK8ra0tczACPECVk8kAT9N0UVHRsWPHRo0apaWlVdkL6tqnMt+QZY4XH+ytqqrK7BJf9kmcgoLC9OnTmYnlysXk5zNnzoi2xMTEEEKMjY2Zp2az2atXrw4KCjp69Kho9Li2tvZPfHUzGUNElOcJIerq6uHh4T/5y1H9EOC/6+7du4QQRUXF69evizauWLFC9Atz4MCBVq1a/ehHoJqwWCxmbQIer6JZrX+IkpLS+/fvY2JiDAwMCCG7d+9+9uwZl8slhOjp6Xl5eYWFhZV+x27cuMFcBXXv3t3Hx4ephOm1rqenl5yc/Pz5c2b9trZt2wqFQvH33MfHR9Sft3Trur6+/oQJE1xdXZlzWllZpaenV/tvwI9DgK8+MtaFHkBiXr9+fezYsSdPnpSUlJiamvbr14+5ySpZEll4GQvwAsCPkpOTGz58+PDhwwkhAQEBXl5eMTExFEXp6uomJyczx9S2DrqGhobv379n/p+iKA6H86Pd5mmaNjc3Z2YBEPWNt7W1vXfvHk3TU6ZMqfjhSkpKzMrqFRzD9PUtPUKBSQLZ2dkzZszw8fERCATe3t5lHrV161Yme/wQb29vQ0PDBQsWMP9kzMgCLpfbv39/Hx8fPp+/du3aR48eFRQUGBsb9+7du0ePHrUk78F3MYv8zZs3r/Q4CB0dHUJI/fr1U1NT5eXlHz58mJOTk5aWZmNjk5+fL7FaCREKhcwcQN+dCUg0BMbY2NjBwSE7O/v58+cJCQllBvIoKyvn5uY2bdq0qKioqKioU6dOAwcO3LJlC/OR9/X1LdNfhhDSpUuXU6dOjR079vr169evX2c2Mus1KCoqOjg4xMfHM8978uTJcj8IM2fOdHBw2LBhw40bN7Kzs9lstpycXGFhYVJSkq+vLyGEzWZ7enr6+PhI9X1P+BkSvoEgAcLM+38tXrDAe29Ydjl3u6oAWuDroOXLl4vPetCzZ8+MjAzJFnbhwoXvfgn8UAt8ZSZ3GD16NHMwWuABqpystsCXMXr0aEKIhYUFTdPNmzf/4YubX+Po6NijR4/SW5i/7EyTtZycHCHEyMioT58+oo1laGtri9bj4PF4Kioq5T4R03xHCFFSUlq8eLH4ASYmJswzlhlzy9RTmV+DXbt2EUK6d+9eeiPTi57p9qyvry/6YpeTk6Moisfj5ebm/vS/XXFx8d27dw8cOHDgwAFRq7uPjw/zvpXWoUOH5OTkn36iKoQW+O+ytbUlhDx69Kj0xlevXpEvrdxz584VbWc+GrWK6LPGYH7nmzZtKtoi6qXy559/MlsUFBRIeR9weXl5c3Nz0QlZLFYFn5dPnz75+PgMGjSoa9eu7u7uLVq0ED1QXV19xowZlblQ9PX1ZToUlGZhYVHmn6O2QQt89amDAV7wzqe9HCFyLn8mIsBDVVi7di3zx2DMmDFnz569evXqsmXLmGU5OnToIBAIJFjb8ePHv/tX7Ye+W5nBVxXbuXMnczACPECVqyMBnlkMSUtLi6bpHTt2MN8tFEUxl9RVyN7evkWLFj/xQGaSttIX9/Xr1/f29h48eHDpuK6pqRkXF7d7927yJQ8QsSxBUVR4ePi2bduYH5lOtkzA6N27d/fu3cWfnaKopUuXVuadTEtLY24lLFu2TPT3SPRcXC43NjY2Pz//33//vXLlipWVFSFkypQpVfuv+ddffzE1Dxs27NSpUwEBAWvXrtXX1yeE2NraFhZW/+xE34MA/10WFhaEkNjY2DLb+/fvz/wu9e/fn9mSmZk5bNiwn/hM/YQyH6VvMTMzy8vLS0hIaN26NbOF+XyVbvfW1NS8d+/es2fPmFsVol1LliypX78+IaR79+69evViOh0QQjgcDnN/zcXF5YfeyZycnOjo6NjY2JKSksocf/z4caYYDw+PEydOXLt2bePGjYaGhoQQS0vLX7nXVt0Q4KtPHQzwwtSrS4Z4eAxdcT0DAR5+WVJSkry8PIvF8vf3L709ISGBWVzn2LFjkqqNpunKLM1qaWlZ+RO6urp+94TMij40AjxANagjAT4iIoL5PgkMDCwuLnZ2dv7uN89PYCbsuHTpUumNzJV95bukMhfxzPV0GTY2Nh8+fKBpms/nMy+h3Ob6MWPGpKSklG60rFev3rlz58pd5InFYnXq1Kn0OOTvOn36NPO8pqamY8aMmTBhAjO9FqNZs2YeHh4ODg7MMS1atKjaqeays7OZOwhHjhwpvT0tLY25X7B9+/YqfLqfgwD/XcyowIsXL5bZ/unTJ9GHRVtb29zcnPnTX+6vukRYWFi8evWKqZbP5+/YsaNx48bMLhaL1axZswq6FjZv3ry4uPjQoUOEEC6Xu2TJktevX7958+bq1atjx46lKIrNZv/999/V97YXFhYy80ru2rWr9PasrCyma9Lq1aur79l/EQJ89amDAb7aIcDXKXv27CGE9OvXT3zX3r17SalpSyUiNTX1u3/bNm/eXPkT3r59+7snFM3FggAPUOXqSICnaZpZM1xOTm7Pnj0fP34cP378t66zNTQ0fm6qKi8vr5ycnAMHDpTeyMwXXZqtra34CFWKomxtbf/880+mO/qlS5dOnjzp6urasGFDfX19FxeX3bt3l25bzsnJGT16dJnzfKtDgaGh4aVLl+Li4ubMmWNmZsZ8l6qoqJw4caKgoOAn3szAwECmBVXEwMBg0KBBpe8RyMvLT58+PScnp+r+DWn6y69Zhw4dxHedP3+eENK2bduqfcafgAD/XZs2bSKEODg4FBUVld7+5s0bpssJ00xNCOFyuT179gwLC1u7dm2ZoR9cLpeZKLFDhw69evViNqqqqlZV2rezs5s/f77obKqqqtu2bSu3jfrDhw9MW7qzs/Px48ednZ3L1MBisTw9PYuLi5njly5dKv4lwOPxDh48WK1ve2BgICm1uE9pN27cIIQ0a9asWgv4FQjw1QcBvuohwNcps2bNIoRs2bJFfBczNqxRo0Y1X5VISUnJd0et37x584fOWfGFctOmTUVHIsADVLm6E+AfP34s6h9LUVSZIaCzZ8+OiYlhBvV4eHiIZpAqd0Y3iqLGjh3r4+Pz6z3we/bsyYyQOnbs2OvXrzt37kwIsbGxqeQXXWxsLBOkFRUVhw0bdunSpZkzZzKdyQkhOjo6v//+e+lxuSImJiYxMTG/8n4KBILQ0FBfX9/du3ffuXOHSSZFRUWhoaF+fn537typpr64a9asIYQsWrRIfFd6ejohpF69etXxvD8EAf67Pn/+zMy+3q5du1u3buXn56enpx85coS50TZ48GCapj98+MCMyBA9KiMj4+TJk23atCGEKCgoLFmyhFkUXVtb28jISPTrzeFwxMd4/wRbW1vRZ1xPT+/169cVvKInT54wS7iVoaur6+PjU/pVMO7fvz9o0CB9fX0ej2dkZDRu3DhRf8Pqwwwgmj59uviuwsJCZsaKcmewrw0Q4KuPTAd4YVFW8rvYF88jI5++iI3/mFMFKaIyEODrFC8vL0LI1q1bxXcxAZ6ZhEmCykzFVIaSklJeXt4PnfDs2bPfOhuHwym9njACPECVqzsBnqbpyMjIMu3hFEWJur+2bdt24MCB4lOjlT7YxcVl8ODB353qnM1mL1q06Pr166VX7ij9KHV19XHjxokmZldSUrKwsGAO0NHRefnyZeVfVGZmpviE1RwOZ+XKlcwBhYWFPj4+dnZ28vLycnJyTZs2XbVqVa1dQf27Vq9eTQhZvHix+C4mwDMzHUgWAnxlREVFMRm+DBcXl4o7bhQXF//222/iD3RwcPDx8WnTpg3T0lCZWXIrg6Ko/v37JyYmfvcVpaenL1q0yMrKisvlKigoODk5+fr6VslFS1XZvn07IWTGjBniuxDg6zJZDPCCjMjTq8f3bG6gyi39F5ti8TTNnAbM3H7t9Y/FlR+FAF+nMFMTDRgwQHwXs+aKm5tbzVdV2r1795jFeMtcwjJXosuWLfuJcx45ckR85hgNDY3IyMjShyHAA1S5OhXgaZoWCoWhoaGbN29euHDh/v37mVuEu3btKjM+nMPhcLlcbW1tJyenyZMnb9myhRmU3rZt2/Dw8CdPnkybNs3GxoaZeU5JScnc3JzH46mqqrZs2XLTpk2lv6aioqL69u3LHEnKW9pd1NVWWVl53LhxP/fnPiQkZObMma6urv369Vu5cuWbN2+q7C2rZZjV7J2dncV3Xbx4kRDi6OhY81WVgQBfSRkZGcuXL7exsVFQUFBTU3N2dj506FAlJ2MLCQkZO3Zs69atmS4n8vLyf/zxB9PvIzU1dfHixcx1RZm5ckUfQIqi9PT01qxZ4+rq+q1bcmpqaiNGjEhKSqrmt6HmBAQEEEJatWolvis4OJh83e2xtkGArz6yFuCFGffXdNHjUoRQFE/DqIlde5euPXr17Na5o2MLS30m0VMKjYYfflV9c54iwNcpiYmJPB6PxWJdu3at9PakpCSme9jhw4clVZvIrl27RBOuKisri7L3oEGDKvl3V1x+fv7q1avbtWtnY2PTrVu3I0eOiN8DRo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)
We can see that the “genomic” distance and the “MLE inbreeding”
distance agree quite closely. Also the “IBS” distance and the “mixture”
distance agree closely. However, the two sets of distances do not agree
with each other for certain key samples. These are the three samples
that we identified above as being closely related. This is because the
“genomic” and “MLE inbreeding” metrics are specifically designed to
identify outliers in terms of genetic similarities, whereas the other
two metrics are more crude estimates of genetic similarity.