{
  "alignment": "data/ha/na_avian.fasta",
  "dates_source": null,
  "total_taxa": 660,
  "optimal_k": 2,
  "max_eigengap_value": 0.7177512645721436,
  "communities": {
    "0": {
      "community_id": 0,
      "taxa_count": 349,
      "timespan": [
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      "ols": {
        "method": "OLS",
        "status": "OK",
        "mu": 0.0014779090294173077,
        "d0": 0.05467582563470234,
        "t_ref": 2003.2766314457851,
        "t_mrca": 1966.2812382609561,
        "se_mu": 2.1363321527854704e-05,
        "se_d0": 0.00030554437645579334,
        "se_mrca": 0.5733437104171737,
        "ci_fieller": [
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        "fieller_g": 0.0008083010600523271,
        "ci_delta": [
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        "ci_bootstrap": null,
        "ci_mrca": [
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          1967.3798297503317
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        "ci_method": "fieller",
        "r": 0.9656065727757593,
        "r2": 0.9323960533877478,
        "p_value": 1.1102230246251565e-16,
        "sigma2": 3.258172072833208e-05,
        "rmse": 0.005691661092894109,
        "residuals": "[-1.04990806e-03 -5.40961767e-03  9.87462508e-04 -2.07789473e-03\n -4.56378071e-03 -1.48878730e-03 -5.48288081e-04 -1.04990806e-03\n -1.17044684e-03 -1.76635322e-03  4.88430280e-03 -6.16988076e-03\n -1.87107332e-03 -4.26244245e-03  6.92173505e-03  6.65421721e-03\n -1.49965188e-03 -2.32206589e-03 -3.24930815e-03  2.34884995e-04\n -2.40574011e-03 -2.39219402e-03  7.32851458e-04 -3.38219309e-03\n -2.95394382e-03  6.24405128e-03 -5.01945417e-03 -5.93346714e-03\n -3.73571301e-04  1.98490396e-03 -1.29418229e-03 -5.19952468e-03\n -1.49070960e-03 -3.84298291e-03 -1.21856268e-03 -5.94804872e-03\n  1.32489670e-03 -2.47287264e-03  5.79986873e-03  1.19572204e-02\n -4.78051832e-03  1.34926835e-02 -5.65189069e-03 -1.56237236e-03\n -1.18532385e-03 -2.07789473e-03  1.27786005e-02 -2.23699176e-03\n  2.37595126e-03 -3.68955099e-03  6.67498252e-03 -5.32331521e-03\n  3.32544004e-03  1.60122649e-02  1.02963542e-02 -1.56237236e-03\n -3.58025498e-04 -4.49380746e-03  1.06965763e-02 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        "times": "[2014.70410959 2010.62739726 2007.71232877 1975.         2006.60273973\n 2005.9260274  1979.         2014.70410959 2011.91506849 1978.\n 2005.62739726 2017.6        2014.64931507 2011.72876712 2012.60655738\n 2013.72054795 1978.         1978.         1977.         2009.79178082\n 2011.70958904 1991.60273973 1982.         2011.72876712 2009.68767123\n 2000.         2014.65205479 2010.73424658 1980.         2010.71232877\n 1978.         2008.57650273 1981.         1978.         1991.60547945\n 2008.57650273 1982.         2007.65479452 2005.65753425 2017.38630137\n 2013.08493151 2018.38630137 2014.64931507 2011.6109589  1984.\n 1975.         2018.38356164 1979.         2002.68219178 2008.70218579\n 2005.         2010.70410959 1984.         1976.         2012.60655738\n 2011.6109589  2015.71232877 2017.60821918 2006.4630137  1978.\n 1982.         2017.39178082 2014.65205479 2007.72876712 2008.57650273\n 2014.63835616 2015.59726027 1982.         2008.         2010.86575342\n 2006.61917808 2018.3890411  2010.71232877 2017.39178082 1977.\n 1978.         1988.         1986.85205479 2006.         2011.6109589\n 1978.         2008.57650273 2017.6        2008.58743169 1984.\n 2009.71506849 2012.60655738 2015.82465753 1975.         2009.79178082\n 1984.         1978.         2009.75890411 2017.6        2006.60273973\n 2006.         2008.57650273 2015.71232877 2011.61917808 1983.\n 2014.6739726  2012.71311475 1978.         1991.60273973 2011.70958904\n 2009.79178082 2011.73150685 2014.6739726  1982.         2010.63287671\n 2002.68219178 2005.49315068 2010.70410959 2010.69315068 1980.\n 1981.         1975.         2014.6739726  2011.74794521 2014.70410959\n 1979.         2011.80821918 2008.69398907 1981.         1980.\n 2016.86338798 2006.         2004.9726776  2008.67213115 2011.6109589\n 2005.70684932 2013.08493151 2017.4        2010.75342466 2005.\n 2011.70958904 2011.63835616 2018.38630137 2018.3890411  2006.60273973\n 2016.58469945 2011.72876712 1983.         2006.60273973 2017.38630137\n 1981.         2011.72876712 1984.         2016.58743169 1978.\n 2018.38356164 2023.61917808 2005.70410959 2006.65753425 1984.\n 1979.         2004.6147541  1978.         1978.         2012.68579235\n 2010.63287671 1975.         2006.63287671 2007.6739726  1985.\n 2010.75068493 2017.38630137 2018.3890411  2011.62465753 1979.\n 1975.         2011.6109589  2007.65479452 2007.6739726  2012.60655738\n 2017.52054795 2016.68306011 1980.         2007.73150685 2006.59726027\n 2011.6109589  2007.70136986 2007.58356164 2009.67945205 1975.\n 2010.71232877 2006.70136986 1978.         1978.         2005.49315068\n 2011.74794521 2021.66027397 1983.         1976.         2008.66666667\n 2007.36438356 1979.         2011.73150685 2006.64383562 2017.6\n 2014.70410959 2005.49315068 1983.         1974.         2012.70765027\n 2005.68493151 2013.08493151 1978.         2012.60655738 1980.\n 1983.         2007.48493151 2014.63835616 2010.71232877 1975.\n 2009.83287671 2008.80054645 2014.70410959 2011.8109589  2011.6109589\n 1984.         1984.         2010.70410959 2011.80821918 2005.49315068\n 2017.39178082 2010.73424658 1980.         2021.66849315 2013.73972603\n 2012.70491803 2014.67123288 2013.68493151 2010.62739726 1986.8\n 2005.66027397 2006.60273973 2010.6739726  2014.67945205 2011.61917808\n 2010.79178082 2017.60273973 2017.6        1975.         1978.\n 2007.72876712 2012.55737705 1983.         2017.38630137 2011.72876712\n 2015.97260274 1981.         2008.80054645 2017.68767123 2011.72876712\n 2012.66666667 2009.68219178 2010.36712329 2017.6        2007.65479452\n 2007.91780822 2018.38082192 1984.         2009.76164384 1983.\n 1991.60273973 2011.72876712 2011.70958904 2017.68767123 2013.72054795\n 2013.72054795 1984.         2006.61917808 2017.39178082 1982.\n 2015.69589041 1983.         2005.49315068 2009.70136986 2005.60547945\n 1975.         2017.49589041 1983.         1982.         1985.\n 2008.58743169 2013.68219178 2002.68219178 1982.         2017.68767123\n 2008.69398907 2012.55737705 2017.38356164 2005.         2009.68493151\n 1979.         2011.80821918 2007.6739726  2006.60273973 2015.76986301\n 2008.67213115 1982.         2017.38630137 1978.         2011.61917808\n 2013.68219178 2017.39178082 2011.72876712 2017.6        1985.\n 2011.72876712 2008.6010929  1983.         2013.70136986 2005.\n 2017.38630137 2009.77534247 2021.64931507 1984.         1983.\n 1999.         2012.60655738 2013.63561644 2013.74246575 2015.7260274\n 2007.60547945 2011.74794521 2008.67486339 2009.75890411 2017.39178082\n 2010.70410959 2014.67945205 2008.57650273 2010.63287671 2012.66939891\n 2005.49315068 2015.59726027 1999.57534247 2010.69315068 2008.68306011\n 1981.         1982.         2021.66849315 2014.63835616 2015.63561644\n 2013.68219178 2015.67671233 2008.80054645 2011.70958904]",
        "n": 349
      },
      "pgls": {},
      "spline": {
        "method": "RESTRICTED_SPLINE",
        "t_mrca": 1964.1137098727834,
        "ci_mrca": [
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          1964.1137098727834
        ],
        "rate_ancestral": 0.0012977958902617936,
        "ci_rate_ancestral": [
          0.0012977958902617936,
          0.0012977958902617936
        ],
        "rate_recent": 0.0017458001088795983,
        "ci_rate_recent": [
          0.0017458001088795983,
          0.0017458001088795983
        ],
        "rate_ratio": 1.3452039122480444,
        "beta_0": -2.549018700679743,
        "beta_1": 0.0012977958902617936,
        "beta_2": 0.0001815914102237474,
        "beta": [
          -2.549018700679743,
          0.0012977958902617936,
          0.0001815914102237474
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        "fitted": "[0.05962154 0.04388948 0.06518809 0.07123905 0.07124114 0.04908498\n 0.05732582 0.06970173 0.04909543 0.04985468 0.04070818 0.05748687\n 0.05747433 0.06007626 0.06131448 0.0638934  0.03488311 0.05826076\n 0.06208    0.06055732 0.05984681 0.07123905 0.03488311 0.05731536\n 0.05244197 0.07048608 0.05731118 0.05274107 0.07124532 0.05731118\n 0.06372398 0.05826704 0.06514626 0.04909334 0.07124532 0.0430131\n 0.05731118 0.05960694 0.06129356 0.04458032 0.05731536 0.06592087\n 0.05731118 0.05960902 0.07123696 0.04328083 0.05274107 0.06670867\n 0.06819788 0.03488311 0.05731536 0.05214287 0.05826704 0.05731536\n 0.05826704 0.06819788 0.05244197 0.06955323 0.06214484 0.06898501\n 0.05731536 0.05731118 0.06955323 0.05274107 0.06819788 0.05213032\n 0.05826494 0.04679469 0.04892183 0.05827959 0.05244197 0.06819788\n 0.06369679 0.05731746 0.0513669  0.07123696 0.05908903 0.05274107\n 0.0629777  0.05832978 0.06128938 0.06970173 0.06130611 0.04223294\n 0.03488311 0.05731746 0.06366542 0.05748687 0.04374934 0.06973311\n 0.05274107 0.04022711 0.03411968 0.05985933 0.05196718 0.05985098\n 0.04529502 0.06522574 0.07124741 0.07123696 0.04389784 0.06007626\n 0.0598489  0.06518809 0.05824612 0.05960902 0.05520705 0.03946368\n 0.06131448 0.05731118 0.06007626 0.05274107 0.05731746 0.06007626\n 0.07123905 0.04373052 0.06007626 0.03335625 0.07123696 0.05904301\n 0.04909125 0.05274107 0.06137722 0.06131448 0.05731746 0.05836534\n 0.06292138 0.05750361 0.06955323 0.05731746 0.05274107 0.05274107\n 0.06131448 0.07123696 0.05901373 0.04908498 0.06007626 0.0613333\n 0.06368006 0.06372398 0.06083969 0.05731118 0.05274107 0.05244197\n 0.06113669 0.06083969 0.03488311 0.05732582 0.06368006 0.06129356\n 0.07048817 0.07123696 0.06741563 0.06819788 0.07124114 0.05900118\n 0.06007626 0.05904511 0.0544227  0.03946368 0.05962154 0.05825239\n 0.04374725 0.06975821 0.06130611 0.06571854 0.05731118 0.07124532\n 0.0430131  0.05731118 0.06129147 0.06131029 0.05274107 0.03870026\n 0.06053222 0.07123696 0.07124741 0.05730909 0.05961111 0.03946368\n 0.07123696 0.07124532 0.05167854 0.07048817 0.057307   0.07124741\n 0.0638934  0.05902837 0.05731118 0.05594328 0.06226196 0.05731118\n 0.06135003 0.05244197 0.05730909 0.07124532 0.05274107 0.07124323\n 0.05274107 0.06365705 0.07048817 0.05984681 0.0513669  0.05673261\n 0.05825867 0.05731118 0.06594798 0.06205071 0.05902837 0.05731118\n 0.06128938 0.04983167 0.06365287 0.05274107 0.05274107 0.05273898\n 0.07124323 0.0599073  0.0532054  0.07124114 0.04984422 0.06052176\n 0.05730909 0.03488311 0.06131448 0.05731536 0.04833828 0.07124323\n 0.05962988 0.05826704 0.05962154 0.07124532 0.05747014 0.07124114\n 0.06368215 0.04525319 0.04679469 0.06131448 0.0575057  0.06819788\n 0.06819788 0.046071   0.05213032 0.05274107 0.05732582 0.06124336\n 0.07124741 0.05274107 0.03488311 0.057307   0.05731118 0.05903674\n 0.04022711 0.06973311 0.06975821 0.05274107 0.05274107 0.05274107\n 0.07124323 0.05274107 0.06131448 0.06129983 0.05731118 0.05748687\n 0.05274107 0.05962154 0.05824612 0.04679469 0.05986141 0.06572062\n 0.0615069  0.06819788 0.06570811 0.03488311 0.05962154 0.06007626\n 0.04374725 0.06055732 0.05960902 0.06128938 0.04022711 0.05748478\n 0.05959859 0.05244197 0.06131029 0.05274107 0.057307   0.06055941\n 0.06570811 0.05732582 0.06131029 0.05274107 0.05730909 0.04683025\n 0.05274107 0.03488311 0.07124532 0.06129147 0.03838946 0.05903883\n 0.05274107 0.04679469 0.04834874 0.04833828 0.06572062 0.04891974\n 0.06512116 0.05978215 0.06368215 0.06135631 0.06130611]",
        "times": "[2008.40437158 1987.79726027 2015.69589041 2023.62191781 2023.62465753\n 1994.60273973 2005.39726027 2021.60821918 1994.61643836 1995.6109589\n 1983.63013699 2005.60821918 2005.59178082 2009.         2010.62191781\n 2014.         1976.         2006.62191781 2011.62465753 2009.63013699\n 2008.69945355 2023.62191781 1976.         2005.38356164 1999.\n 2022.63561644 2005.37808219 1999.39178082 2023.63013699 2005.37808219\n 2013.77808219 2006.63013699 2015.64109589 1994.61369863 2023.63013699\n 1986.64931507 2005.37808219 2008.3852459  2010.59452055 1988.70218579\n 2005.38356164 2016.6557377  2005.37808219 2008.38797814 2023.61917808\n 1987.         1999.39178082 2017.68767123 2019.63835616 1976.\n 2005.38356164 1998.60821918 2006.63013699 2005.38356164 2006.63013699\n 2019.63835616 1999.         2021.41369863 2011.70958904 2020.66939891\n 2005.38356164 2005.37808219 2021.41369863 1999.39178082 2019.63835616\n 1998.59178082 2006.62739726 1991.60273973 1994.3890411  2006.64657534\n 1999.         2019.63835616 2013.74246575 2005.38630137 1997.59178082\n 2023.61917808 2007.70684932 1999.39178082 2012.80054645 2006.71232877\n 2010.5890411  2021.60821918 2010.6109589  1985.62739726 1976.\n 2005.38630137 2013.70136986 2005.60821918 1987.61369863 2021.64931507\n 1999.39178082 1983.         1975.         2008.71584699 1998.37808219\n 2008.70491803 1989.63835616 2015.74520548 2023.63287671 2023.61917808\n 1987.80821918 2009.         2008.70218579 2015.69589041 2006.60273973\n 2008.38797814 2002.62191781 1982.         2010.62191781 2005.37808219\n 2009.         1999.39178082 2005.38630137 2009.         2023.62191781\n 1987.5890411  2009.         1974.         2023.61917808 2007.64657534\n 1994.6109589  1999.39178082 2010.70410959 2010.62191781 2005.38630137\n 2006.75890411 2012.72677596 2005.63013699 2021.41369863 2005.38630137\n 1999.39178082 1999.39178082 2010.62191781 2023.61917808 2007.60821918\n 1994.60273973 2009.         2010.64657534 2013.72054795 2013.77808219\n 2010.         2005.37808219 1999.39178082 1999.         2010.3890411\n 2010.         1976.         2005.39726027 2013.72054795 2010.59452055\n 2022.63835616 2023.61917808 2018.61369863 2019.63835616 2023.62465753\n 2007.59178082 2009.         2007.64931507 2001.59452055 1982.\n 2008.40437158 2006.6109589  1987.6109589  2021.68219178 2010.6109589\n 2016.39071038 2005.37808219 2023.63013699 1986.64931507 2005.37808219\n 2010.59178082 2010.61643836 1999.39178082 1981.         2009.59726027\n 2023.61917808 2023.63287671 2005.37534247 2008.39071038 1982.\n 2023.61917808 2023.63013699 1998.         2022.63835616 2005.37260274\n 2023.63287671 2014.         2007.62739726 2005.37808219 2003.58630137\n 2011.8630137  2005.37808219 2010.66849315 1999.         2005.37534247\n 2023.63013699 1999.39178082 2023.62739726 1999.39178082 2013.69041096\n 2022.63835616 2008.69945355 1997.59178082 2004.62021858 2006.61917808\n 2005.37808219 2016.69125683 2011.58630137 2007.62739726 2005.37808219\n 2010.5890411  1995.58082192 2013.68493151 1999.39178082 1999.39178082\n 1999.3890411  2023.62739726 2008.77868852 2000.         2023.62465753\n 1995.59726027 2009.58356164 2005.37534247 1976.         2010.62191781\n 2005.38356164 1993.62465753 2023.62739726 2008.41530055 2006.63013699\n 2008.40437158 2023.63013699 2005.58630137 2023.62465753 2013.72328767\n 1989.58356164 1991.60273973 2010.62191781 2005.63287671 2019.63835616\n 2019.63835616 1990.65479452 1998.59178082 1999.39178082 2005.39726027\n 2010.52876712 2023.63287671 1999.39178082 1976.         2005.37260274\n 2005.37808219 2007.63835616 1983.         2021.64931507 2021.68219178\n 1999.39178082 1999.39178082 1999.39178082 2023.62739726 1999.39178082\n 2010.62191781 2010.60273973 2005.37808219 2005.60821918 1999.39178082\n 2008.40437158 2006.60273973 1991.60273973 2008.71857923 2016.39344262\n 2010.8739726  2019.63835616 2016.37704918 1976.         2008.40437158\n 2009.         1987.6109589  2009.63013699 2008.38797814 2010.5890411\n 1983.         2005.60547945 2008.37431694 1999.         2010.61643836\n 1999.39178082 2005.37260274 2009.63287671 2016.37704918 2005.39726027\n 2010.61643836 1999.39178082 2005.37534247 1991.64931507 1999.39178082\n 1976.         2023.63013699 2010.59178082 1980.59289617 2007.64109589\n 1999.39178082 1991.60273973 1993.63835616 1993.62465753 2016.39344262\n 1994.38630137 2015.60821918 2008.6147541  2013.72328767 2010.67671233\n 2010.6109589 ]",
        "n": 311
      },
      "pgls": {},
      "spline": {
        "method": "RESTRICTED_SPLINE",
        "t_mrca": 1960.622167770819,
        "ci_mrca": [
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          1960.622167770819
        ],
        "rate_ancestral": 0.0015663045134656007,
        "ci_rate_ancestral": [
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          0.0015663045134656007
        ],
        "rate_recent": 4.92581103865668e-05,
        "ci_rate_recent": [
          4.92581103865668e-05,
          4.92581103865668e-05
        ],
        "rate_ratio": 0.031448616768382065,
        "beta_0": -3.070931350580144,
        "beta_1": 0.0015663045134656007,
        "beta_2": -0.0007321894569192856,
        "beta": [
          -3.070931350580144,
          0.0015663045134656007,
          -0.0007321894569192856
        ],
        "ci_beta_2": [
          -0.0007321894569192856,
          -0.0007321894569192856
        ],
        "knots": [
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          2007.5917808219178,
          2022.6383561643836
        ],
        "rss": 0.016441973335585135,
        "aic": -3056.6380513852937,
        "rss_linear": 0.021203199361537955,
        "aic_linear": -2979.5461894603577,
        "delta_aic": -77.09186192493598,
        "aic_reduction": 77.09186192493598,
        "f_stat": 89.18987922329461,
        "p_f_test": 9.290394056625749e-19,
        "is_nonlinear_preferred": true,
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}