{
  "optimal_k": 2,
  "communities": {
    "0": {
      "community_id": 0,
      "taxa_count": 659,
      "timespan": [
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      "ols": {
        "method": "OLS",
        "status": "OK",
        "mu": 0.002298279376793837,
        "d0": 0.12499118615090178,
        "t_ref": 2012.8124457195318,
        "t_mrca": 1958.4277667231654,
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        "p_value": 1.1102230246251565e-16,
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0.13235475 0.12925061 0.12671305 0.107036   0.12784645 0.14270957\n 0.1341444  0.12971026 0.13675622 0.12353212 0.11159478 0.12385238\n 0.12278394 0.12499524 0.12573707 0.11763957 0.10933428 0.12422914\n 0.12925061 0.09956187 0.11715473 0.1190941  0.13437046 0.12218576\n 0.10659016 0.14433739 0.1233249  0.12496384 0.12772052 0.11654395\n 0.11999452 0.12125385 0.12005749 0.13107034 0.12044158 0.13449605\n 0.12317419 0.12713493 0.13743626 0.08132046 0.12876576 0.124518\n 0.12576855 0.10638294 0.14427443 0.12444892 0.124518   0.05877214\n 0.13617693 0.11760809 0.11760809 0.12385238 0.12429822 0.11716103\n 0.1117459  0.14174253 0.14463334 0.12353212 0.1170162  0.12653675\n 0.12648637 0.12287209 0.12216057 0.107036   0.1260519  0.12784015\n 0.13328411 0.12039751 0.1233563  0.12695233 0.13196446 0.14748572\n 0.12124756 0.13425115 0.12454939 0.1347161  0.1311459  0.13014473\n 0.11163256 0.12350073 0.12596375 0.12695233 0.13155518 0.12062419\n 0.12576855 0.12130423 0.12235577 0.10014117 0.13696401 0.1503507\n 0.12810461 0.10473772 0.12595116 0.13415068 0.12082568 0.08864977\n 0.13260593 0.1292632  0.14971474 0.13028326 0.12675713 0.12991175\n 0.12082568 0.12772052 0.10847794 0.12637303 0.12457451 0.12499524\n 0.12560484 0.12394029 0.12801646 0.1300062  0.1188989  0.12525897\n 0.12045418 0.10966801 0.13391834 0.12772052 0.13447093 0.11163256\n 0.12692714 0.15005476 0.11181517 0.12508315 0.12934505 0.11350267\n 0.13406904 0.11895557 0.12100199 0.13415068 0.12082568 0.13059809\n 0.11680841 0.13197706 0.12231169 0.11763957 0.12903022 0.12328095\n 0.12693973 0.12502035 0.13757478 0.1170162  0.13009436 0.12220465\n 0.13008806 0.12763236 0.13447093 0.12692714 0.12379586 0.13153629\n 0.12925061 0.1233563  0.11163256 0.12573707 0.04957902 0.13748663\n 0.12772052 0.12833759 0.13310201 0.12071234 0.15116171 0.13178816\n 0.13361692 0.1292632  0.15173314 0.12366399 0.13028326 0.12481313\n 0.13259965 0.13530169 0.1268075  0.10416473 0.10263464 0.12886651\n 0.12358864 0.12495128 0.12649897 0.13116479 0.11760809 0.12328095\n 0.11194739 0.10473772 0.11763957 0.12596375 0.137537   0.13761886\n 0.12026528 0.12693973 0.13819815 0.12896726 0.11927041 0.09324633\n 0.1331962  0.12502035 0.11763957 0.13248034 0.15049552 0.12283431\n 0.1247315  0.11335155 0.12287839 0.12348189 0.12784015 0.11927041\n 0.1238147  0.13142925 0.1170288  0.1233563  0.1286965  0.12366399\n 0.12082568 0.10358544 0.12489476 0.143708   0.14568488 0.11760809\n 0.149784   0.12064308 0.12695233 0.1091202  0.11760809 0.15098589\n 0.10350358 0.11763957 0.13521354 0.12525897 0.13239243 0.13097589\n 0.1258693  0.15173314 0.12931357 0.107036   0.12622821 0.12977952\n 0.13197706 0.10776012 0.12297914 0.120599   0.12829981 0.12218576\n 0.12819906 0.12984879 0.12218576 0.12438613 0.12257615 0.15173314\n 0.14970214 0.10243944 0.09554461 0.13332179 0.11436412 0.12346933\n 0.12348189 0.12468754 0.13231708 0.12125385 0.12520874 0.13010695\n 0.1204038  0.13081218 0.12622821 0.13197706 0.13552837 0.14962029\n 0.12124126 0.12333118 0.12894837 0.12312396 0.12772052 0.1242103\n 0.12485081 0.12604561 0.12353212 0.12507687 0.13631545 0.12146164\n 0.12454939 0.1333783  0.12054233 0.12284691 0.13733551 0.11199777\n 0.12751902 0.13154888 0.12252578 0.11200406 0.12251948 0.12709715\n 0.12348189 0.13154888 0.13023288 0.10473772 0.12656193 0.12284061\n 0.13141665 0.12772052 0.13160555 0.11163256 0.13470981 0.12560484\n 0.13195817 0.1333783  0.13197706 0.13744255 0.12086346 0.12508315\n 0.14361381 0.13200224 0.13185112 0.13442069 0.13322132 0.12772052\n 0.12576855 0.07392819 0.13054142 0.13630916 0.12595116 0.12495756\n 0.13437046 0.11967339 0.15173314 0.1315111  0.12502663 0.13222263\n 0.11926411 0.10933428 0.12251318 0.13054142 0.12535944 0.13442069\n 0.12547261 0.12066197 0.12363259 0.13415068 0.12447404 0.11163256\n 0.12695233 0.13442069 0.1238461  0.11933967 0.12648637 0.12066826\n 0.10407658 0.1338367  0.13507501 0.12343793 0.12218576 0.13023288\n 0.12534061 0.12406588 0.12542224 0.13506242 0.09324633 0.12050455\n 0.12057381 0.11707287 0.12124126 0.12383354 0.09784289 0.11295486\n 0.11627949 0.12295395 0.12464359 0.11138699 0.10882425 0.1237833\n 0.12692714 0.13124664 0.12082568 0.12186463 0.1281298  0.12971026\n 0.12005749 0.11804256 0.12048566 0.11177739 0.12000711 0.14956991\n 0.13037771 0.135478   0.12829981 0.10394435 0.1164558  0.13309573\n 0.1185274  0.12525269 0.11419458 0.12635414 0.12447404 0.107036\n 0.12534061 0.13613285 0.13079958 0.10349099 0.15067812 0.12319931\n 0.124945   0.08175493 0.11760809 0.12714123 0.13561023 0.12666898\n 0.13828631 0.08198791 0.10473772 0.11335155 0.1230484  0.13359181\n 0.1159905  0.13406904 0.14270957 0.12218576 0.11487276 0.12314908\n 0.12321815 0.12917505 0.11008988 0.12429194 0.12967248 0.14454518\n 0.12366399 0.1231428  0.12434217 0.15173314 0.12366399 0.11763957\n 0.08890163 0.12110273 0.12939543 0.10966801 0.12745606 0.12886021\n 0.12438613 0.107036   0.13186372 0.09094805 0.12925061 0.15173314\n 0.12926949 0.10913279 0.13632175 0.13066735 0.14550227 0.11828813\n 0.12017712 0.13305805 0.1427598  0.12520874 0.12323071 0.13437046\n 0.12326839 0.11159478 0.13154888 0.13477277 0.12925061 0.12900504\n 0.13071773 0.13931266 0.10473772 0.12525897 0.12159387 0.12912467\n 0.12459335 0.1333783  0.12254467 0.11760809 0.11296745 0.12925061\n 0.14340031 0.15207223 0.13731032 0.12909319 0.12695233 0.12925061\n 0.12372051 0.12551669 0.13358553 0.12622821 0.12049196 0.13266245\n 0.1354717  0.12156239 0.13126553 0.12772052 0.14473408]",
        "times": "[2007.         2011.18082192 2013.28493151 2012.57103825 2017.89315068\n 2011.83835616 2011.66575342 2009.61369863 2013.66575342 2014.5890411\n 2006.14520548 2011.77808219 2009.61369863 2021.03835616 2014.46027397\n 2015.66575342 2013.1369863  2015.03287671 2016.94808743 2012.78961749\n 2011.91506849 2011.73424658 2005.         2015.49589041 2015.49589041\n 2014.         2007.         2014.66575342 2013.77260274 2012.92896175\n 2012.79234973 2013.07945205 2012.69125683 2020.40163934 2011.85753425\n 2014.         2009.         2015.17534247 2006.7369863  2011.6\n 2012.31693989 2006.         2013.19452055 2012.09836066 2003.59452055\n 2013.1369863  2009.36712329 2011.85479452 2012.85245902 2018.50136986\n 2023.86849315 2013.15616438 2005.16712329 2010.08493151 2013.24931507\n 2011.75616438 2013.35068493 2016.58743169 2010.91232877 2003.2109589\n 2011.81917808 2015.11506849 2013.19726027 2012.77595628 2005.\n 2023.58082192 2014.91780822 2010.91506849 2007.         2015.66575342\n 2023.6        2007.75342466 2023.52876712 2012.07923497 2024.44808743\n 2005.5260274  2004.57650273 2006.82739726 2013.66027397 2014.66575342\n 2013.65479452 2012.20218579 2015.30410959 2014.05479452 2015.57534247\n 2018.07945205 2005.         2009.87671233 2015.85205479 2013.65479452\n 2012.96448087 2010.99178082 2012.59562842 2015.95890411 2011.01369863\n 2008.1420765  2024.04918033 2015.80273973 2012.85245902 2024.5\n 2009.6        2016.68579235 2006.98356164 2013.54520548 2012.92349727\n 2015.66575342 2024.21038251 2013.65479452 2014.30958904 2014.97260274\n 2013.8109589  2016.48907104 2009.6        2011.74520548 2013.12054795\n 2010.29315068 2009.61369863 2015.03013699 2007.         2014.49863014\n 2013.42739726 2016.44535519 2009.38630137 2017.19452055 2010.71780822\n 2009.42465753 2012.45081967 2014.95616438 2015.85205479 2012.77595628\n 2012.17759563 2011.86849315 2008.44262295 2014.59452055 2015.8\n 2009.6        2016.9863388  2024.39617486 2013.23013699 2005.\n 2004.         2009.61369863 2015.22739726 2006.75890411 2021.46027397\n 2024.44808743 2014.         2014.66575342 2024.27595628 2003.92328767\n 2013.40547945 2011.41369863 2012.60382514 2015.07123288 2002.\n 2002.74794521 2011.89315068 2016.43442623 2003.         2013.49589041\n 2012.02459016 2012.4726776  2019.65205479 2018.84931507 2006.\n 2015.76712329 2007.         2013.84109589 2023.96712329 2013.49589041\n 2010.97260274 2014.93972603 2009.61369863 2011.0630137  2016.01639344\n 2014.66575342 2013.56164384 2005.         2014.05479452 2020.52185792\n 2016.79508197 2014.86575342 2017.93150685 2012.17759563 2006.98356164\n 2012.31693989 2011.85205479 2012.81420765 2013.1369863  2009.61369863\n 2006.         2012.48087432 2014.66575342 2001.74794521 2009.40273973\n 2010.24657534 2016.89344262 2011.59178082 2004.80601093 2021.23013699\n 2012.08743169 2012.80054645 2014.         2009.1369863  2010.63835616\n 2011.18630137 2010.66575342 2015.45753425 2010.83287671 2016.94808743\n 2012.02185792 2013.74520548 2018.22739726 1993.8109589  2014.45479452\n 2012.60655738 2013.15068493 2004.71584699 2021.20273973 2012.57650273\n 2012.60655738 1984.         2017.67945205 2009.6        2009.6\n 2012.31693989 2012.51092896 2009.40547945 2007.04931507 2020.1010929\n 2021.35890411 2012.17759563 2009.34246575 2013.48493151 2013.4630137\n 2011.89041096 2011.58082192 2005.         2013.2739726  2014.05205479\n 2016.42076503 2010.81369863 2012.1010929  2013.66575342 2015.84657534\n 2022.6        2011.18356164 2016.84153005 2012.62021858 2017.04383562\n 2015.49041096 2015.05479452 2007.         2012.16393443 2013.23561644\n 2013.66575342 2015.66849315 2010.91232877 2013.15068493 2011.20821918\n 2011.66575342 2002.         2018.02191781 2023.84657534 2014.16712329\n 2004.         2013.23013699 2016.79781421 2011.         1997.\n 2016.12568306 2014.67123288 2023.56986301 2015.11506849 2013.58082192\n 2014.95342466 2011.         2014.         2005.62739726 2013.41369863\n 2012.63114754 2012.81420765 2013.07945205 2012.35519126 2014.12876712\n 2014.99452055 2010.16164384 2012.92896175 2010.83835616 2006.14520548\n 2016.69672131 2014.         2016.93715847 2007.         2013.65479452\n 2023.71780822 2007.07945205 2012.85245902 2014.70684932 2007.81369863\n 2016.76229508 2010.18630137 2011.07671233 2016.79781421 2011.\n 2015.25205479 2009.25205479 2015.85205479 2011.64657534 2009.61369863\n 2014.56986301 2012.06830601 2013.66027397 2012.82513661 2018.28767123\n 2009.34246575 2015.03287671 2011.6        2015.03013699 2013.96164384\n 2016.93715847 2013.65479452 2012.29234973 2015.66027397 2014.66575342\n 2012.1010929  2007.         2013.1369863  1980.         2018.24931507\n 2014.         2014.26849315 2016.34153005 2010.95068493 2024.19945355\n 2015.76986301 2016.56557377 2014.67123288 2024.44808743 2012.23497268\n 2015.11506849 2012.73497268 2016.12295082 2017.29863014 2013.60273973\n 2003.75068493 2003.08493151 2014.49863014 2012.20218579 2012.79508197\n 2013.46849315 2015.49863014 2009.6        2012.06830601 2007.1369863\n 2004.         2009.61369863 2013.23561644 2018.27123288 2018.30684932\n 2010.75616438 2013.66027397 2018.55890411 2014.54246575 2010.32328767\n 1999.         2016.38251366 2012.82513661 2009.61369863 2016.07103825\n 2023.90958904 2011.8739726  2012.69945355 2007.74794521 2011.89315068\n 2012.1557377  2014.05205479 2010.32328767 2012.30054645 2015.61369863\n 2009.34794521 2012.1010929  2014.42465753 2012.23497268 2011.\n 2003.49863014 2012.7704918  2020.95628415 2021.81643836 2009.6\n 2023.6        2010.92054795 2013.66575342 2005.90684932 2009.6\n 2024.12295082 2003.4630137  2009.61369863 2017.26027397 2012.92896175\n 2016.03278689 2015.41643836 2013.19452055 2024.44808743 2014.69315068\n 2005.         2013.35068493 2014.89589041 2015.85205479 2005.31506849\n 2011.9369863  2010.90136986 2014.25205479 2011.59178082 2014.20821918\n 2014.9260274  2011.59178082 2012.54918033 2011.76164384 2024.44808743\n 2023.56438356 2003.         2000.         2016.43715847 2008.18852459\n 2012.15027322 2012.1557377  2012.68032787 2016.         2011.18630137\n 2012.90710383 2015.03835616 2010.81643836 2015.34520548 2013.35068493\n 2015.85205479 2017.39726027 2023.52876712 2011.18082192 2012.09016393\n 2014.53424658 2012.         2014.         2012.4726776  2012.75136612\n 2013.27123288 2012.17759563 2012.84972678 2017.73972603 2011.27671233\n 2012.62021858 2016.46174863 2010.87671233 2011.87945205 2018.18356164\n 2007.15890411 2013.91232877 2015.66575342 2011.73972603 2007.16164384\n 2011.7369863  2013.72876712 2012.1557377  2015.66575342 2015.09315068\n 2004.         2013.49589041 2011.87671233 2015.60821918 2014.\n 2015.69041096 2007.         2017.04109589 2013.07945205 2015.84383562\n 2016.46174863 2015.85205479 2018.23013699 2011.01643836 2012.85245902\n 2020.91530055 2015.8630137  2015.79726027 2016.91530055 2016.39344262\n 2014.         2013.15068493 1990.59452055 2015.22739726 2017.7369863\n 2013.23013699 2012.79781421 2016.89344262 2010.49863014 2024.44808743\n 2015.64931507 2012.82786885 2015.95890411 2010.32054795 2006.\n 2011.73424658 2015.22739726 2012.9726776  2016.91530055 2013.02191781\n 2010.92876712 2012.22131148 2016.79781421 2012.58743169 2007.\n 2013.66575342 2016.91530055 2012.31420765 2010.35342466 2013.4630137\n 2010.93150685 2003.71232877 2016.66120219 2017.2        2012.13661202\n 2011.59178082 2015.09315068 2012.96448087 2012.40983607 2013.\n 2017.19452055 1999.         2010.86027397 2010.89041096 2009.36712329\n 2011.18082192 2012.30874317 2001.         2007.57534247 2009.02191781\n 2011.9260274  2012.66120219 2006.89315068 2005.77808219 2012.28688525\n 2013.65479452 2015.53424658 2011.         2011.45205479 2014.17808219\n 2014.86575342 2010.66575342 2009.7890411  2010.85205479 2007.0630137\n 2010.64383562 2023.50684932 2015.15616438 2017.37534247 2014.25205479\n 2003.65479452 2009.09863014 2016.33879781 2010.         2012.92622951\n 2008.1147541  2013.40547945 2012.58743169 2005.         2012.96448087\n 2017.66027397 2015.33972603 2003.45753425 2023.9890411  2012.03278689\n 2012.79234973 1994.         2009.6        2013.74794521 2017.43287671\n 2013.54246575 2018.59726027 1994.10136986 2004.         2007.74794521\n 2011.96712329 2016.55464481 2008.89617486 2016.76229508 2020.52185792\n 2011.59178082 2008.40983607 2012.01092896 2012.04098361 2014.63287671\n 2006.32876712 2012.50819672 2014.84931507 2021.32054795 2012.23497268\n 2012.00819672 2012.53005464 2024.44808743 2012.23497268 2009.61369863\n 1997.10958904 2011.12054795 2014.72876712 2006.14520548 2013.88493151\n 2014.49589041 2012.54918033 2005.         2015.80273973 1998.\n 2014.66575342 2024.44808743 2014.6739726  2005.91232877 2017.74246575\n 2015.28219178 2021.7369863  2009.89589041 2010.71780822 2016.32240437\n 2020.54371585 2012.90710383 2012.04644809 2016.89344262 2012.06284153\n 2006.98356164 2015.66575342 2017.06849315 2014.66575342 2014.55890411\n 2015.30410959 2019.04383562 2004.         2012.92896175 2011.33424658\n 2014.6109589  2012.63934426 2016.46174863 2011.74794521 2009.6\n 2007.58082192 2014.66575342 2020.82240437 2024.59562842 2018.17260274\n 2014.59726027 2013.66575342 2014.66575342 2012.25956284 2013.04109589\n 2016.55191257 2013.35068493 2010.85479452 2016.15027322 2017.37260274\n 2011.32054795 2015.54246575 2014.         2021.40273973]",
        "n": 659
      },
      "pgls": {},
      "spline": {
        "method": "RESTRICTED_SPLINE",
        "t_mrca": 1963.516606115689,
        "ci_mrca": [
          1963.516606115689,
          1963.516606115689
        ],
        "rate_ancestral": 0.002626277851474034,
        "ci_rate_ancestral": [
          0.002626277851474034,
          0.002626277851474034
        ],
        "rate_recent": 0.002177195208636417,
        "ci_rate_recent": [
          0.002177195208636417,
          0.002177195208636417
        ],
        "rate_ratio": 0.8290041388478515,
        "beta_0": -5.156740173643098,
        "beta_1": 0.002626277851474034,
        "beta_2": -0.0001717132818084818,
        "beta": [
          -5.156740173643098,
          0.002626277851474034,
          -0.0001717132818084818
        ],
        "ci_beta_2": [
          -0.0001717132818084818,
          -0.0001717132818084818
        ],
        "knots": [
          1980.0,
          2012.9289617486338,
          2017.7726027397262
        ],
        "rss": 0.0785022527473639,
        "aic": -5948.296633023311,
        "rss_linear": 0.07866250106351917,
        "aic_linear": -5948.952773482521,
        "delta_aic": 0.6561404592093822,
        "aic_reduction": -0.6561404592093822,
        "f_stat": 1.3391067353973147,
        "p_f_test": 0.24761274381575818,
        "is_nonlinear_preferred": false,
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        "rmse": 0.01091436196197336,
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        "n": 659
      },
      "calibrated_rate": 0.002298279376793837,
      "calibrated_tmrca": 1958.4277667231654,
      "ci_mrca": [
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      "r2": 0.5381332913641568,
      "pagel_lambda": null
    },
    "1": {
      "community_id": 1,
      "taxa_count": 376,
      "timespan": [
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      "ols": {
        "method": "OLS",
        "status": "OK",
        "mu": 0.003608817145045883,
        "d0": 0.09676261610615802,
        "t_ref": 2015.4100703486215,
        "t_mrca": 1988.5972360549827,
        "se_mu": 9.016229363272943e-05,
        "se_d0": 0.0003885198547070583,
        "se_mrca": 0.6784847276337999,
        "ci_fieller": [
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        "fieller_g": 0.002413413367045195,
        "ci_delta": [
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        "ci_bootstrap": null,
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        "ci_method": "fieller",
        "r": 0.9004081695406558,
        "r2": 0.8107348717755544,
        "p_value": 1.1102230246251565e-16,
        "sigma2": 5.675632674059924e-05,
        "rmse": 0.00751361639861898,
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        "n": 376
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      "spline": {
        "method": "RESTRICTED_SPLINE",
        "t_mrca": 1995.9267540396686,
        "ci_mrca": [
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        "p_f_test": 6.744219063533976e-12,
        "is_nonlinear_preferred": true,
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}