{
  "optimal_k": 3,
  "communities": {
    "0": {
      "community_id": 0,
      "taxa_count": 297,
      "timespan": [
        1982.2465753424658,
        2011.868493150685
      ],
      "ols": {
        "method": "OLS",
        "status": "OK",
        "mu": 0.0036269351371637027,
        "d0": 0.06176700233101105,
        "t_ref": 1998.668561755994,
        "t_mrca": 1981.6384798838067,
        "se_mu": 2.519987329610507e-05,
        "se_d0": 0.00013375356430401,
        "se_mrca": 0.12393830472872319,
        "ci_fieller": [
          1981.391336181355,
          1981.8792539873136
        ],
        "fieller_g": 0.0001869752604514859,
        "ci_delta": [
          1981.3945645762058,
          1981.8823951914076
        ],
        "ci_bootstrap": null,
        "ci_mrca": [
          1981.391336181355,
          1981.8792539873136
        ],
        "ci_method": "fieller",
        "r": 0.9929546822447983,
        "r2": 0.9859590009918684,
        "p_value": 1.1102230246251565e-16,
        "sigma2": 5.313334741316e-06,
        "rmse": 0.00229729290892301,
        "residuals": "[ 6.68784887e-03 -4.21205034e-04 -5.81428608e-05  3.23946458e-03\n -4.07961758e-04  3.46430735e-03  1.32703387e-03 -1.67586939e-03\n -3.84065732e-05 -3.03729674e-03 -2.02749302e-03  2.80436363e-04\n -2.63638412e-03 -1.79923390e-03 -1.80984753e-03 -2.96561685e-03\n -2.04980223e-03 -1.78675230e-03  4.47090067e-03  8.24456813e-04\n -2.84206757e-03  3.73635382e-03 -1.28206325e-03  2.22124124e-03\n  1.56162678e-03  2.16269235e-03  2.95355060e-04 -5.93933122e-04\n -1.87869117e-03  4.61056771e-03 -2.90766448e-04 -8.55983240e-04\n  4.55214905e-03  8.96227477e-04 -8.22272135e-04 -2.13454476e-04\n -8.44318919e-06 -3.44312058e-05  2.32385811e-03 -1.39818864e-03\n  3.07359852e-03  1.66545782e-03  6.67904579e-04 -3.30736503e-03\n  3.52489616e-03  6.03259509e-03  1.79191954e-03 -3.80096834e-04\n  2.55995304e-03 -1.19083672e-03 -1.66122531e-03 -2.78743693e-03\n  2.87106244e-04 -9.69598475e-04 -3.61820082e-03  3.17379658e-03\n -1.86074124e-03  4.72514130e-03 -2.55030168e-03  2.62537132e-04\n -2.57282490e-04 -1.27647859e-03 -2.81344659e-03  4.76620627e-03\n  4.06268170e-04 -5.08226328e-04  2.66183935e-03  2.70391708e-03\n  4.16206381e-03  7.86523955e-04  2.28229302e-03  1.41016182e-03\n -2.20395465e-03  7.67380022e-04 -3.06707566e-05  1.63567456e-03\n  6.86330476e-04  4.13955673e-04  4.34314920e-03 -1.41476185e-03\n -4.06850763e-04 -1.58048301e-03 -1.06349848e-03  2.55834489e-04\n  7.44577478e-03 -1.35514100e-03 -2.88089307e-03  1.81582723e-04\n -1.82438269e-03 -1.60843193e-03 -1.39072489e-03  3.60296621e-04\n  3.80920942e-03  5.06084676e-04 -1.41110018e-03 -6.61249271e-04\n -7.88416929e-04  2.19720495e-03 -7.57090192e-04 -1.48523090e-03\n -3.09149308e-03  2.55827213e-03  7.09364605e-04  1.47379188e-03\n  1.82344384e-03 -1.07892994e-03  1.72452265e-04 -1.25674197e-03\n -3.30808013e-05 -2.12690602e-03 -3.76830325e-04  1.45137443e-03\n -2.49203215e-03 -1.11121543e-03  3.22355044e-03  9.19646788e-04\n -5.83943364e-04 -3.45720351e-03 -1.24732810e-04  1.51304127e-03\n -9.15493775e-04 -1.37618413e-03  1.78422201e-03 -2.08813756e-03\n -1.12588832e-03  1.58324656e-03  5.14442789e-04 -6.28249708e-04\n  9.00754047e-04  4.22282733e-03 -1.07948545e-02 -9.74992897e-04\n  1.29505091e-05  1.78117897e-03 -3.29513982e-03 -1.28660622e-03\n -1.98928276e-03 -1.85372130e-03  2.69351787e-03 -9.16651326e-04\n  2.64509030e-03 -2.94410975e-03 -9.82960333e-04  1.81750521e-03\n  1.24340692e-03 -4.71626961e-04 -2.87988375e-03 -9.53288859e-04\n -2.26245794e-03 -2.95232541e-04 -1.51035506e-03  6.38545668e-04\n -1.52822949e-03 -3.46615546e-03  7.26943964e-04  4.24682989e-03\n  2.50828075e-03 -2.07458421e-03 -1.68912613e-03 -3.48715113e-03\n -1.05526092e-03 -4.25402198e-04 -2.71862908e-03  2.84649081e-03\n  2.96524993e-04  7.58915900e-04 -8.70686117e-04 -4.01952899e-04\n -3.55063906e-04  3.71570911e-03  6.38282646e-04 -5.02744065e-04\n  1.04533885e-03  1.55795676e-03  3.95463989e-04  1.95968993e-03\n  2.54066644e-03 -9.69506995e-04  4.24635215e-03 -1.21690771e-03\n -7.59104986e-04  2.07152580e-04  1.13122837e-03 -7.00945679e-04\n -2.50721395e-03 -2.05348890e-03 -1.49631769e-03  1.30638031e-03\n  3.88783601e-03  2.39551670e-03 -2.57932379e-03 -2.13216740e-03\n -3.37902407e-03  1.68906704e-03 -2.95118859e-03  4.90023886e-03\n -1.14433648e-03  2.25190682e-03  1.15807944e-03 -6.28768027e-04\n  2.82302871e-03 -5.34736060e-03  9.42544382e-04 -6.68364637e-04\n -1.96201825e-04 -2.94077236e-03  1.89128763e-03  1.78210191e-03\n -1.60617292e-03  3.38011590e-03  2.22554166e-03  2.84849546e-03\n  1.49850061e-03 -1.23887002e-03  3.89719321e-03  1.50870402e-03\n -2.35812995e-03 -1.53369131e-03  1.87086516e-03 -1.94959994e-03\n -3.36987202e-03  1.59028975e-03  4.11873256e-03  8.35035681e-06\n -3.44612550e-03 -5.11509758e-03  1.41211231e-03 -1.04673120e-03\n -8.83863744e-04 -2.55688473e-03  4.30982574e-03 -1.59210171e-03\n -3.82042494e-04  1.87637867e-04  2.80012603e-04  1.40055524e-03\n -1.45446506e-03 -2.43379997e-03 -4.58307419e-03 -2.10259092e-03\n -6.71328854e-04  4.39689422e-03  8.34369251e-05 -2.17189994e-03\n  1.09329094e-03 -1.63256318e-03 -1.18422408e-03 -2.48927275e-03\n  1.29514017e-03  3.00462292e-03 -4.94028949e-04 -2.59872903e-03\n  2.11998038e-03 -3.49067111e-03  4.49289087e-04 -5.91526072e-04\n  1.36499893e-03  2.60566666e-03  1.42084411e-04  1.28259645e-03\n -8.72152922e-04 -3.14505480e-03 -7.61570690e-04 -2.90933689e-04\n -2.33029746e-03  7.38524957e-04 -3.09101793e-03 -4.43421627e-04\n  5.86758465e-04 -1.47121654e-03  2.62600492e-03  6.74846013e-05\n  7.55099428e-04 -2.06628856e-03 -1.55542479e-03 -2.54212168e-04\n -5.17595579e-03  1.06828319e-03 -1.06725616e-03 -1.64035537e-03\n -4.18184608e-04 -4.11305429e-04  4.54679025e-03 -1.60402611e-03\n -8.88894568e-04 -2.88140732e-03 -5.31988470e-04  5.64638314e-04\n -2.32742443e-04  6.18962675e-04  3.83901984e-03 -1.13158494e-03\n  7.37125347e-04  5.53939473e-04  2.35379828e-03 -1.72441468e-03\n  3.04713441e-04]",
        "fitted": "[0.04816326 0.0858337  0.05931236 0.08054732 0.03049562 0.07927541\n 0.06948966 0.0299789  0.08324427 0.04485431 0.04435746 0.08118306\n 0.07387972 0.07237927 0.06835005 0.04868991 0.07288604 0.04876941\n 0.00281167 0.08392804 0.0758174  0.08806949 0.04633489 0.04883897\n 0.08193619 0.06664559 0.03727252 0.0837893  0.07290592 0.08789062\n 0.06882572 0.07287611 0.07926547 0.08386858 0.04168446 0.07378036\n 0.0632374  0.06657617 0.08445325 0.0502798  0.0778147  0.05271261\n 0.06320759 0.05563596 0.00281167 0.01250006 0.04863029 0.03850216\n 0.08010017 0.07100799 0.05576492 0.08890418 0.04187326 0.07294566\n 0.05056797 0.0778147  0.08344246 0.00220552 0.04487418 0.05566569\n 0.05947135 0.08384876 0.04509279 0.07920585 0.06281012 0.04424816\n 0.08006042 0.08178755 0.07825192 0.03754081 0.07912636 0.08389831\n 0.07588696 0.06664559 0.08394786 0.07795381 0.06314797 0.05782184\n 0.08073612 0.04641438 0.04189314 0.05407023 0.0850487  0.04472513\n 0.01219202 0.04635476 0.07380023 0.06602964 0.05051829 0.08639017\n 0.04448664 0.06489685 0.08864582 0.03801659 0.05390177 0.03723277\n 0.03738183 0.04834213 0.03743151 0.03853189 0.05922293 0.08020947\n 0.06378393 0.03780848 0.08017966 0.07255813 0.08114342 0.08805955\n 0.09185541 0.03758056 0.07051115 0.03745138 0.0623729  0.04364201\n 0.08059701 0.08389831 0.08462171 0.06303867 0.04695097 0.08081562\n 0.03766975 0.07428713 0.08026909 0.04457607 0.0377193  0.04883897\n 0.06294923 0.07275686 0.06925183 0.08076593 0.1096423  0.06277037\n 0.03039625 0.03743151 0.07615525 0.03013789 0.0872646  0.02341966\n 0.08012998 0.05925274 0.04688141 0.05722563 0.03790758 0.08111369\n 0.0815299  0.03650739 0.0738201  0.03850216 0.05407023 0.08361093\n 0.07572797 0.0409003  0.05774235 0.07440637 0.03745138 0.08139116\n 0.04633489 0.04904764 0.0412075  0.05481346 0.08637029 0.07250844\n 0.04451645 0.03794722 0.03758056 0.08386858 0.06698252 0.03954267\n 0.03818505 0.07850034 0.03770939 0.05113437 0.03730233 0.08376948\n 0.05556659 0.06925183 0.08024922 0.04172421 0.08084543 0.08434424\n 0.07620494 0.0236674  0.07703963 0.03750107 0.04453633 0.04434753\n 0.07390953 0.08150017 0.07941453 0.0849692  0.07546961 0.07502246\n 0.05377294 0.08315508 0.07383004 0.0046301  0.09164674 0.03846252\n 0.08089511 0.05250451 0.08066656 0.05268288 0.06954912 0.05919312\n 0.06077307 0.05740449 0.04853092 0.0808653  0.07413808 0.04856073\n 0.07998092 0.07824198 0.03745138 0.03747126 0.07976231 0.0378283\n 0.08712549 0.05569542 0.03821478 0.05505129 0.07440637 0.04060301\n 0.07982193 0.0418832  0.07584721 0.08041814 0.08139116 0.04187326\n 0.03780848 0.07077944 0.04165465 0.08632061 0.0592428  0.06908337\n 0.03727252 0.08012998 0.06328709 0.08741366 0.05087601 0.07796375\n 0.05926268 0.08071625 0.08387849 0.07440637 0.06568186 0.0724687\n 0.0517902  0.07067013 0.0808653  0.07855996 0.06064389 0.06258157\n 0.04893833 0.0575138  0.03017764 0.07093843 0.06251201 0.04125718\n 0.06344607 0.08144071 0.06698252 0.04448664 0.08700625 0.05551704\n 0.04527165 0.03738183 0.05351529 0.04176396 0.06682396 0.07099805\n 0.08377939 0.07345244 0.06912301 0.08698637 0.03850216 0.08509838\n 0.05391168 0.03730233 0.06098175 0.05167096 0.03765984 0.08375957\n 0.07942446 0.05128342 0.0393643  0.07717874 0.06783475 0.08017966\n 0.04871972 0.05262342 0.08861601 0.06102149 0.06663568 0.06915273\n 0.08036846 0.05237568 0.06292936]",
        "times": "[1994.91780822 2005.30410959 1997.99178082 2003.84657534 1990.04657534\n 2003.49589041 2000.79781421 1989.90410959 2004.59016393 1994.00547945\n 1993.86849315 2004.02185792 2002.00821918 2001.59452055 2000.48360656\n 1995.0630137  2001.73424658 1995.08493151 1982.41369863 2004.77868852\n 2002.54246575 2005.92054795 1994.41369863 1995.10410959 2004.2295082\n 2000.0136612  1991.91506849 2004.74043716 2001.73972603 2005.87123288\n 2000.6147541  2001.73150685 2003.49315068 2004.76229508 1993.13150685\n 2001.98082192 1999.0739726  1999.99452055 2004.92349727 1995.50136986\n 2003.09315068 1996.17213115 1999.06575342 1996.97814208 1982.41369863\n 1985.08493151 1995.04657534 1992.25409836 2003.72328767 2001.21643836\n 1997.01369863 2006.15068493 1993.18356164 2001.75068493 1995.58082192\n 2003.09315068 2004.64480874 1982.24657534 1994.0109589  1996.9863388\n 1998.03561644 2004.7568306  1994.07123288 2003.47671233 1998.95616438\n 1993.83835616 2003.71232877 2004.18852459 2003.21369863 1991.9890411\n 2003.45479452 2004.7704918  2002.56164384 2000.0136612  2004.78415301\n 2003.13150685 1999.04931507 1997.58082192 2003.89863014 1994.43561644\n 1993.1890411  1996.54644809 2005.08767123 1993.96986301 1985.\n 1994.41917808 2001.98630137 1999.84383562 1995.56712329 2005.45753425\n 1993.90410959 1999.53150685 2006.07945205 1992.12021858 1996.5\n 1991.90410959 1991.94520548 1994.96712329 1991.95890411 1992.26229508\n 1997.96712329 2003.75342466 1999.22465753 1992.06284153 2003.74520548\n 2001.64383562 2004.01092896 2005.91780822 2006.96438356 1992.\n 2001.07945205 1991.96438356 1998.83561644 1993.67123288 2003.86027397\n 2004.7704918  2004.96994536 1999.01917808 1994.58356164 2003.92054795\n 1992.02459016 2002.12054795 2003.76986301 1993.92876712 1992.03825137\n 1995.10410959 1998.99452055 2001.69863014 2000.73224044 2003.90684932\n 2011.86849315 1998.94520548 1990.01917808 1991.95890411 2002.63561644\n 1989.94794521 2005.69863014 1988.09562842 2003.73150685 1997.97534247\n 1994.56438356 1997.41643836 1992.09016393 2004.00273224 2004.11748634\n 1991.70410959 2001.99178082 1992.25409836 1996.54644809 2004.69125683\n 2002.51780822 1992.91530055 1997.55890411 2002.15342466 1991.96438356\n 2004.07923497 1994.41369863 1995.16164384 1993.         1996.75136612\n 2005.45205479 2001.63013699 1993.91232877 1992.1010929  1992.\n 2004.76229508 2000.10655738 1992.54098361 1992.16666667 2003.28219178\n 1992.03551913 1995.7369863  1991.92328767 2004.73497268 1996.95901639\n 2000.73224044 2003.76438356 1993.14246575 2003.92876712 2004.89344262\n 2002.64931507 1988.16393443 2002.87945205 1991.97808219 1993.91780822\n 1993.86575342 2002.01643836 2004.10928962 2003.53424658 2005.06575342\n 2002.44657534 2002.32328767 1996.46448087 2004.56557377 2001.99452055\n 1982.91506849 2006.90684932 1992.2431694  2003.94246575 1996.1147541\n 2003.87945205 1996.16393443 2000.81420765 1997.95890411 1998.39452055\n 1997.46575342 1995.01917808 2003.93424658 2002.07945205 1995.02739726\n 2003.69041096 2003.2109589  1991.96438356 1991.96986301 2003.63013699\n 1992.06830601 2005.66027397 1996.99453552 1992.17486339 1996.81693989\n 2002.15342466 1992.83333333 2003.64657534 1993.18630137 2002.55068493\n 2003.8109589  2004.07923497 1993.18356164 1992.06284153 2001.15342466\n 1993.12328767 2005.43835616 1997.97260274 2000.68579235 1991.91506849\n 2003.73150685 1999.08767123 2005.73972603 1995.66575342 2003.13424658\n 1997.97808219 2003.89315068 2004.76502732 2002.15342466 1999.74794521\n 2001.61917808 1995.91780822 2001.12328767 2003.93424658 2003.29863014\n 1998.35890411 1998.89315068 1995.13150685 1997.49589041 1989.95890411\n 2001.19726027 1998.8739726  1993.01369863 1999.13150685 2004.09289617\n 2000.10655738 1993.90410959 2005.62739726 1996.94535519 1994.12054795\n 1991.94520548 1996.39344262 1993.15342466 2000.06284153 2001.21369863\n 2004.73770492 2001.89041096 2000.69672131 2005.62191781 1992.25409836\n 2005.10136986 1996.50273224 1991.92328767 1998.45205479 1995.88493151\n 1992.02185792 2004.73224044 2003.5369863  1995.77808219 1992.49180328\n 2002.91780822 2000.34153005 2003.74520548 1995.07123288 1996.14754098\n 2006.07123288 1998.4630137  2000.01092896 2000.70491803 2003.79726027\n 1996.07923497 1998.9890411 ]",
        "n": 297
      },
      "pgls": {},
      "spline": {
        "method": "RESTRICTED_SPLINE",
        "t_mrca": 1980.1863764405352,
        "ci_mrca": [
          1980.1863764405352,
          1980.1863764405352
        ],
        "rate_ancestral": 0.003131719106150184,
        "ci_rate_ancestral": [
          0.003131719106150184,
          0.003131719106150184
        ],
        "rate_recent": 0.00393348647889331,
        "ci_rate_recent": [
          0.00393348647889331,
          0.00393348647889331
        ],
        "rate_ratio": 1.25601509764033,
        "beta_0": -6.201387508837125,
        "beta_1": 0.003131719106150184,
        "beta_2": 0.0003573078929152773,
        "beta": [
          -6.201387508837125,
          0.003131719106150184,
          0.0003573078929152773
        ],
        "ci_beta_2": [
          0.0003573078929152773,
          0.0003573078929152773
        ],
        "knots": [
          1982.2465753424658,
          1999.0876712328768,
          2004.7622950819673
        ],
        "rss": 0.0013868031106666777,
        "aic": -3639.522413251803,
        "rss_linear": 0.0015674337486882202,
        "aic_linear": -3605.1581641506014,
        "delta_aic": -34.364249101201494,
        "aic_reduction": 34.364249101201494,
        "f_stat": 38.29340096648913,
        "p_f_test": 2.0386532619352956e-09,
        "is_nonlinear_preferred": true,
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0.0261598   0.03628849  0.02247153  0.04061883  0.05000099\n  0.0381387   0.0190054   0.03931828  0.0187337   0.02797016  0.03819919\n  0.0250061   0.01502509  0.04730914  0.03452094  0.04347328  0.04970459\n  0.01099034  0.01451091  0.0384714   0.01975548  0.02574355  0.02487302\n  0.01798566  0.01524285  0.04954731  0.0277343   0.04122375  0.03640311\n  0.03804192  0.05032764  0.04040712  0.02917998  0.02937356  0.02772827\n  0.03811451  0.02775845  0.03187183  0.0199793   0.03051684  0.02616583\n  0.04000788  0.0314605   0.04106647  0.0374975   0.04116325  0.03386199\n  0.02933726  0.03655995  0.02561686  0.04730914  0.03109755  0.04138102\n  0.04983162  0.03693493  0.02851458  0.02330631  0.04123584  0.03646343\n  0.01883625  0.03677766  0.01161944  0.0364574   0.03769712  0.03343855\n  0.02207834  0.01423265  0.03876176  0.03673531  0.04981347  0.03162987\n  0.02895012  0.03934247  0.04092129  0.03905212  0.02179403  0.0256048\n  0.01641033  0.02767397  0.02561083  0.0171049   0.02679925  0.03162987\n  0.0287626   0.03667482  0.02319742  0.04230653  0.01855272  0.02158836\n  0.02516338  0.0112202   0.03378335  0.03389828  0.04230653  0.04993445\n  0.03096447  0.0237116   0.04110881  0.03897953  0.01705061  0.0364755\n  0.03901582  0.03325708  0.04739988  0.0408487   0.02259856  0.03769712\n  0.02261671  0.02571942  0.03753984  0.0435698   0.05000099  0.03161777\n  0.02509079  0.0411693   0.01265989  0.04988606  0.01910823  0.02777659\n  0.02015472  0.0246855   0.01797963  0.02816978  0.02294941  0.02653985\n  0.01700838  0.02516338  0.01142587  0.03343855  0.02962157  0.01458955\n  0.01584172  0.04144151  0.02526017  0.04984976  0.02205414  0.04130843\n  0.0250061   0.01964055  0.04110276  0.03539567  0.0176961   0.03952395\n  0.03888274  0.0187337   0.02770414  0.01951957  0.02593056  0.04146571\n  0.03913681 -0.09037143  0.03350509  0.03106125  0.04323801  0.03799957\n  0.03115804  0.0371648   0.02780684  0.02661827  0.02673289  0.04964409\n  0.01690583  0.01955586  0.02875655  0.02010028  0.01014951  0.02593659\n  0.02483068  0.02313693  0.02716724  0.0122425   0.03452698  0.02777659\n  0.01892071  0.02457662  0.04271182  0.03162382  0.01272038  0.03776366\n  0.02296756  0.02382048  0.01407538  0.02780079  0.02065075  0.02314903\n  0.02198155  0.03236786  0.01480127  0.0196224   0.01274458  0.01072418\n  0.01272038  0.0378181   0.03753984  0.02573148  0.01612602  0.03811451\n  0.02509079  0.02467945  0.0388404   0.02542349  0.02619599  0.03091608\n  0.03207145  0.02081408  0.04983767  0.0258461   0.03326918  0.01235138\n  0.02014868  0.03652376  0.02549608  0.0310915   0.02221142  0.02778869\n  0.02940985  0.03669902  0.03778181  0.025641    0.02065075  0.03370471\n  0.02576768  0.01996115  0.01898725  0.04977717  0.02080803  0.02554447\n  0.01892071  0.05004938  0.01750909  0.01826919  0.03421284  0.02356037\n  0.03714665  0.02817583 -0.09037143  0.02538115  0.02530251  0.02777054\n  0.03301511  0.04121165  0.02063865  0.04104227  0.0122183   0.04988001\n  0.0196345   0.03331152  0.0187337   0.0317327   0.02568322  0.02496376\n  0.01950142  0.04153225  0.03514833  0.02449193  0.03901582  0.02994217\n  0.02711898  0.02447983  0.01910823  0.04977717  0.03646947  0.02737234\n  0.03595066  0.02017892  0.02783708]",
        "times": "[2019.15890411 2013.50684932 2007.24931507 2010.9369863  2012.04918033\n 2009.48219178 2013.15342466 2005.53424658 2014.07945205 2012.03005464\n 2019.03561644 2019.10136986 2005.02739726 2006.79726027 2013.78082192\n 2018.68219178 2018.78630137 2022.69315068 2008.15300546 2014.4739726\n 2018.73972603 2009.1260274  2013.26849315 2009.38082192 2017.61643836\n 2010.49041096 2013.57534247 2007.23013699 2012.65846995 2014.64657534\n 2007.0109589  2018.07945205 2007.18356164 2017.50136986 2010.80547945\n 2008.07650273 2022.79178082 2007.47123288 2018.83561644 2023.16164384\n 2013.52054795 2023.04383562 2013.5260274  2011.38082192 2022.8109589\n 2018.00821918 2010.2        2019.56164384 2022.97260274 2012.54918033\n 2012.09562842 2013.84657534 2012.03005464 2012.18032787 2014.44383562\n 2019.59452055 2023.02191781 2018.16164384 2018.07945205 2019.0630137\n 2011.83835616 2018.09589041 2016.23497268 2016.95355191 2014.86849315\n 2013.13424658 2016.93169399 2011.77260274 2018.08493151 2010.69863014\n 2009.51506849 2021.91506849 2009.24657534 2017.53424658 2012.0273224\n 2011.96712329 2018.07945205 2018.19452055 2022.92876712 2021.29041096\n 2013.78356164 2014.96438356 2017.73150685 2012.0273224  2010.09315068\n 2010.62465753 2007.11506849 2021.20273973 2018.09315068 2018.04109589\n 2012.76229508 2005.69315068 2018.82739726 2008.36065574 2007.56712329\n 2013.77260274 2017.64657534 2023.20547945 2007.09863014 2018.52328767\n 2011.8        2016.06830601 2017.77260274 2019.59452055 2006.02739726\n 2017.46575342 2022.96712329 2017.07945205 2005.4        2012.87431694\n 2019.28767123 2018.40821918 2015.97808219 2012.27868852 2017.6739726\n 2007.9260274  2009.02191781 2014.07945205 2019.01643836 2019.07945205\n 2018.03835616 2018.98630137 2007.44109589 2018.06575342 2018.04931507\n 2010.99178082 2014.91780822 2006.97808219 2015.70136986 2007.11506849\n 2013.40821918 2011.79178082 2018.80821918 2010.87123288 2012.44808743\n 2013.6        2009.08493151 2018.67123288 2014.12876712 2011.82191781\n 2012.6147541  2013.71780822 2022.96438356 2009.8        2013.74794521\n 2019.21369863 2019.03561644 2017.69315068 2011.93424658 2019.02739726\n 2016.68852459 2013.66027397 2015.14520548 2016.1420765  2016.86065574\n 2014.72328767 2015.72328767 2007.39452055 2017.53972603 2020.15300546\n 2012.59836066 2018.03835616 2014.95616438 2009.48219178 2009.60821918\n 2011.22191781 2008.09836066 2012.05191257 2014.4        2023.\n 2011.0109589  2018.47123288 2007.43013699 2018.18082192 2018.12328767\n 2015.07123288 2014.87945205 2009.24109589 2010.97534247 2014.96164384\n 2019.2        2023.02739726 2010.69041096 2010.69041096 2008.03825137\n 2010.99452055 2017.00547945 2007.84657534 2018.00821918 2008.16939891\n 2017.65479452 2020.02459016 2010.42739726 2007.46849315 2007.58630137\n 2016.88797814 2010.81369863 2012.71584699 2015.34246575 2018.01917808\n 2016.31420765 2019.77808219 2012.56010929 2013.63835616 2015.05479452\n 2018.65205479 2010.6109589  2011.29863014 2017.87671233 2005.57534247\n 2009.52054795 2019.27123288 2012.07923497 2012.4726776  2018.00273973\n 2017.61917808 2008.93989071 2012.56557377 2016.93442623 2021.91232877\n 2022.87671233 2012.75956284 2007.28219178 2016.66120219 2019.59178082\n 2007.96986301 2017.04383562 2009.09041096 2015.22191781 2005.52876712\n 2019.56164384 2005.78082192 2019.19178082 2023.07945205 2015.10684932\n 2017.50136986 2017.45205479 2007.35342466 2014.01643836 2015.57260274\n 2013.86849315 2012.99453552 2014.72876712 2007.57534247 2019.07945205\n 2017.04931507 2013.4630137  2022.97260274 2007.09041096 2013.53424658\n 2013.34520548 2014.6109589  2009.38630137 2023.00547945 2007.36438356\n 2010.69041096 2017.98630137 2008.72677596 2011.63835616 2011.9369863\n 2018.94520548 2016.54918033 2010.42191781 2021.94246575 2011.77260274\n 2005.46849315 2014.01643836 2018.03287671 2019.59178082 2011.63835616\n 2019.01917808 2005.6        2018.09589041 2013.6109589  2019.11506849\n 2005.62739726 2008.91530055 2012.22404372 2011.96712329 2011.44931507\n 2009.26849315 2009.10684932 2019.20547945 2017.86575342 2014.49863014\n 2011.87123288 2013.02465753 2010.96986301 2013.49863014 2016.30601093\n 2013.59452055 2011.72054795 2009.36438356 2007.37534247 2022.15068493\n 2005.78082192 2015.20547945 2017.73424658 2013.09589041 2009.52054795\n 2007.37534247 2008.55737705 2018.12328767 2012.32786885 2014.09315068\n 2014.91780822 2019.14246575 2011.91506849 2006.04109589 2018.15616438\n 2015.24109589 2023.05205479 2012.84699454 2016.01639344 2019.07671233\n 2022.92876712 2009.55068493 2018.98356164 2014.75068493 2011.78356164\n 2013.78630137 2013.6109589  2013.09863014 2013.07945205 2009.56712329\n 2009.58630137 2019.03835616 2012.29781421 2013.05753425 2018.1369863\n 2013.8109589  2014.92328767 2018.96438356 2016.66120219 2011.79452055\n 2011.2        2015.73150685 2018.46027397 2009.51780822 2018.20273973\n 2016.86065574 2009.51232877 2012.54371585 2015.73150685 2016.40983607\n 2017.43287671 2007.24109589 2012.11748634 2014.81917808 2010.49041096\n 2018.94246575 2012.93169399 2018.1260274  2022.69863014 2012.65846995\n 2018.74794521 2008.73770492 2018.1369863  2005.98356164 2009.78356164\n 2019.19178082 2008.91803279 2013.23561644 2019.11506849 2013.66849315\n 2016.04644809 2012.8579235  2010.41643836 2019.19726027 2014.13150685\n 2012.60928962 2012.67759563 2006.21917808 2018.85753425 2005.44931507\n 2011.7369863  2013.09315068 2012.92896175 2006.04109589 2012.77595628\n 2012.01092896 2013.78630137 2019.13972603 2012.03005464 2017.33150685\n 2013.54246575 2018.82739726 2011.78356164 2019.12328767 2010.41369863\n 2008.00819672 2016.95901639 2007.17808219 2017.65753425 2009.55068493\n 2017.84657534 2010.97808219 2012.45355191 2014.18630137 2018.40273973\n 2015.58630137 2007.34246575 2015.26027397 2012.27868852 2016.86612022\n 2010.60821918 2018.82739726 2023.07671233 2017.70410959 2009.03835616\n 2018.23835616 2008.91530055 2013.09863014 2017.73150685 2011.75616438\n 2007.23561644 2021.85753425 2016.06557377 2020.12021858 2022.94246575\n 2005.40821918 2007.00273973 2017.85479452 2009.37808219 2012.09016393\n 2011.69589041 2008.57650273 2007.33424658 2022.87123288 2012.99180328\n 2019.10136986 2016.91803279 2017.66027397 2023.22465753 2018.73150685\n 2013.64657534 2013.73424658 2012.98907104 2017.69315068 2013.00273973\n 2014.86575342 2009.47945205 2014.25205479 2012.28142077 2018.55068493\n 2014.67945205 2019.03013699 2017.41369863 2019.0739726  2015.76712329\n 2013.71780822 2016.98907104 2012.03278689 2021.85753425 2014.51506849\n 2019.17260274 2023.         2017.15890411 2013.34520548 2010.98630137\n 2019.10684932 2016.94535519 2008.96174863 2017.08767123 2005.69315068\n 2016.94262295 2017.50410959 2015.57534247 2010.43013699 2006.87671233\n 2017.98630137 2017.06849315 2022.99178082 2014.75616438 2013.54246575\n 2018.24931507 2018.96438356 2018.11780822 2010.30136986 2012.0273224\n 2007.8630137  2012.96448087 2012.03005464 2008.17759563 2012.56830601\n 2014.75616438 2013.45753425 2017.04109589 2010.9369863  2019.59178082\n 2008.83333333 2010.20821918 2011.82739726 2005.51232877 2015.73150685\n 2015.78356164 2019.59178082 2023.04657534 2014.45479452 2011.16986301\n 2019.04931507 2018.08493151 2008.15300546 2016.95081967 2018.10136986\n 2015.49315068 2021.89863014 2018.93150685 2010.66575342 2017.50410959\n 2010.6739726  2012.07923497 2017.43287671 2020.16393443 2023.07671233\n 2014.75068493 2011.79452055 2019.07671233 2006.16438356 2023.02465753\n 2009.08493151 2013.0109589  2009.55890411 2011.6109589  2008.57377049\n 2013.1890411  2010.82465753 2012.45081967 2008.13387978 2011.82739726\n 2005.60547945 2015.57534247 2013.84657534 2007.03835616 2007.60547945\n 2019.2        2011.87123288 2023.00821918 2010.41917808 2019.13972603\n 2011.75616438 2009.3260274  2019.04657534 2016.46174863 2008.44535519\n 2018.33150685 2018.04109589 2008.91530055 2012.97814208 2009.27123288\n 2012.17486339 2019.2109589  2018.15616438 1959.5        2015.60547945\n 2014.49863014 2020.0136612  2017.64109589 2014.54246575 2017.2630137\n 2013.02465753 2012.4863388  2012.53825137 2022.91506849 2008.08743169\n 2009.28767123 2013.45479452 2009.53424658 2005.02739726 2012.17759563\n 2011.67671233 2010.90958904 2012.73497268 2005.97534247 2016.06830601\n 2013.0109589  2009.         2011.56164384 2019.77534247 2014.75342466\n 2006.19178082 2017.53424658 2010.83287671 2011.21917808 2006.80547945\n 2013.02191781 2009.78356164 2010.91506849 2010.38630137 2015.09041096\n 2007.13424658 2009.31780822 2006.20273973 2005.28767123 2006.19178082\n 2017.55890411 2017.43287671 2012.08469945 2007.73424658 2017.69315068\n 2011.79452055 2011.60821918 2018.02191781 2011.94520548 2012.29508197\n 2014.43287671 2014.95616438 2009.85753425 2023.00273973 2012.13661202\n 2015.49863014 2006.02465753 2009.55616438 2016.9726776  2011.97808219\n 2014.51232877 2010.49041096 2013.01643836 2013.75068493 2017.05205479\n 2017.54246575 2012.04371585 2009.78356164 2015.69589041 2012.1010929\n 2009.47123288 2009.03013699 2022.97534247 2009.85479452 2012.\n 2009.         2023.09863014 2008.36065574 2008.70491803 2015.9260274\n 2011.10136986 2017.25479452 2013.19178082 1959.5        2011.9260274\n 2011.89041096 2013.00821918 2015.38356164 2019.09589041 2009.77808219\n 2019.01917808 2005.96438356 2023.02191781 2009.32328767 2015.51780822\n 2008.91530055 2014.80273973 2012.06284153 2011.7369863  2009.2630137\n 2019.24109589 2016.34972678 2011.52328767 2018.10136986 2013.99178082\n 2012.71311475 2011.51780822 2009.08493151 2022.97534247 2016.94808743\n 2012.82786885 2016.71311475 2009.56986301 2013.03835616]",
        "n": 669
      },
      "pgls": {},
      "spline": {
        "method": "RESTRICTED_SPLINE",
        "t_mrca": 2000.4305362080918,
        "ci_mrca": [
          2000.4305362080918,
          2000.4305362080918
        ],
        "rate_ancestral": -0.0010056436705157383,
        "ci_rate_ancestral": [
          -0.0010056436705157383,
          -0.0010056436705157383
        ],
        "rate_recent": 0.003445332314947494,
        "ci_rate_recent": [
          0.003445332314947494,
          0.003445332314947494
        ],
        "rate_ratio": 1.0,
        "beta_0": 1.9794928846722146,
        "beta_1": -0.0010056436705157383,
        "beta_2": 0.0016372351591630043,
        "beta": [
          1.9794928846722146,
          -0.0010056436705157383,
          0.0016372351591630043
        ],
        "ci_beta_2": [
          0.0016372351591630043,
          0.0016372351591630043
        ],
        "knots": [
          1959.5,
          2013.6,
          2019.2
        ],
        "rss": 0.006941138990079151,
        "aic": -7671.493143702954,
        "rss_linear": 0.03622811507614104,
        "aic_linear": -6568.057883785508,
        "delta_aic": -1103.4352599174454,
        "aic_reduction": 1103.4352599174454,
        "f_stat": 2810.075709648742,
        "p_f_test": 3.717725591913086e-241,
        "is_nonlinear_preferred": false,
        "r2": 0.9472536950825672,
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        "n": 669
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      "calibrated_rate": 0.002207922034865699,
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    "2": {
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      "taxa_count": 112,
      "timespan": [
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      "ols": {
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