The following is a demo of the phytools functions & methods I used to create the
graphics for my
Evolution
2017 meeting talk entitled “Some additional new methods for plotting phylogenies &
comparative data.” The final slides for this talk are available
here.
library(phytools)
packageVersion("phytools")
## [1] '0.6.18'
## -- Read some data from file:
tree<-read.tree("tree.tre")
x<-as.matrix(read.csv("x.csv",row.names=1))[,1]
## -- These methods simply plot the data at the tips of the tree. There also
## -- exists a number of other comparable functions.
dotTree(tree,x,length=10,ftype="i")
![plot of chunk unnamed-chunk-1](data:image/png;base64,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)
plotTree.barplot(tree,x)
![plot of chunk unnamed-chunk-1](data:image/png;base64,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)
plotTree.barplot(tree,x,args.barplot=list(col=sapply(x,
function(x) if(x>=0) "blue" else "red"),
xlim=c(-4,4)))
![plot of chunk 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)
## -- We can also plot the data at the tips of the tree for multiple traits
## -- simultaneously. For instance:
X<-read.csv("X.csv",row.names=1)
dotTree(tree,X,standardize=TRUE,length=10)
![plot of chunk 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)
phylo.heatmap(tree,X,standardize=TRUE)
![plot of chunk 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)
## -- Aside from plotting the data at the tips, we can also visualize its
## -- reconstructed evolution. A simple method for doing this is called a
## -- 'traitgram' in which the phylogeny is projected into phenotype space
## -- as follows:
phenogram(tree,x,spread.labels=TRUE,spread.cost=c(1,0))
![plot of chunk unnamed-chunk-3](data:image/png;base64,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)
## -- A variant of this function exists where the idea is to visualize the
## -- uncertainty around the reconstructed values at internal nodes, as
## -- follows:
fancyTree(tree,type="phenogram95",x=x,spread.cost=c(1,0))
## Computing density traitgram...
![plot of chunk 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)
## -- Another method in phytools projects reconstructed states onto internal
## -- edges & nodes of the tree using a color gradient. I will also demonstrate
## -- a helper function called errorbar.contMap which computes & adds error
## -- bars to the tree using the same color gradient as was employed in the
## -- plot.
obj<-contMap(tree,x,plot=FALSE)
plot(obj,lwd=7,xlim=c(-0.2,3.6))
errorbar.contMap(obj)
![plot of chunk 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OgBIKZgNJBWUc0Uxb5lBEWo0QNAXMFNW+q+tu6z1xX06AEgnqXCjb0IegCIJRgNcpl00mexCUo3wGlTg+UNUQPkVW/vJ2N4HtH+4SFPYj1/2M9eHEOHnitjgZM0v2BKDf6OliciH4g8mX5peU/kfZH7xlfozc2fL8/PYIIo3QCA4wh6AHAcQQ8AjiPoAcBxBD0AOI6gBwDHEfQA7KWstHSSQSM/u6viJfI+3YILpgDYTbdFzGw122ZX9WyDfaK2R+0TRv0t85ZXUcVB3de9lIyno1cV+yY2o0cPAHF5leLAWHckVe11y62Odb16evQAEJPXaZWv9MIsCOlMbjAKpGDV1Aj06IFTpQarE93gLo5mVjN69MApms08s/rR4iFt9OyqFPPo+ldjPnBT/rAvmcVNwU27n72yqjsvBD2AhOkfv23qtPsi9+X52/LBXQ77xw/wCyydyfWHvoixluB1rV/uWvZRLEEP4D+GROIfifzR4c/k2KSqV2VVzGcmn8YGjXyxVe5q63KeoAdO24azByulRP942B2/Ze/8w+rv7v0pCk3drai0qomISM7WdQUJegBbSbbKv8aBfgMVmlo3D/FEWyDoAdzJG0b7bdEX87a5fe6tiO1vi4ion93puSEcwysBwHEEPQA4jqAHAMcR9ADgOIIeABxH0AOA4xheCWAz6reSPoO72d8Af3OE/mQ++t78Qimvkh9d9qy6cIqgB3C7PV18tN+LrfTvi4jIm8Ymc1D/vfD2i9dvOeyr5jkHo0G5nG3fBNVpsnudVvbCsiuoKN0AQFzBTVsyFxlp3wTTLTZOXUyPHkCijq0itMAf9rMXhQelR+lrr9osiIg/lNKlTWUbEYIeQIJurQgppUT/BxGznBJVionavkfBaJDLXEoqXcrVOl6zULCycEPpBgBi84dSepAaz1fc6niWFm4IegCIy+u0sufjMk3hotzqeLPktwxBDwCxLHTfC5f1QacxGkyT3yrU6AHYTf29pM8ggj/sZy9msZ56UBqka1L3kzylCCrZ1WGUUqLDRq2qZzFOTCn1VtiDPlaHWoIAAOxD6QYAHEfQA4DjCHoAcBxBDwCOs+nDWPUswTO5FR/nAjhSdg2v1P9X5L589pY8kfnXB7JwM3Tjp/KGyH2R+yLvTxvmV9jGj2+bo8709j7n2AOAfbIr6IHD2O/suHCd8ff96nT0QSOfrsnCpsQR9DhR/06LiJwZW14z2q+uNJbaoTvH2Gfnx9xk51deGjc+M9rPN2hvsv+djrnzA+5w/zDqa8aN8XT0Q19kmureda0vubpd8yDwYSwAxOUP+yIyGM1mo288knJZbJsHgaAHgJiC0SCXucjIcDLvgXfdLmWkZd0ElgQ9AMTkD/vZ88J5dtKl9zpy9UAG1nXoCXoAiGlx9vmg0clcFvxh37oOPUEPADH5w372PCXpjAx98a7bmQepYDTI2TcjPUEPALFMO/Sp8+ygU3kkV9XUNPstw/BKnKjxQOil4XZfZng9Njebjz6dkVa75Ddni8jaxq4pEGy+MpYpEFyilPqVsP/PL7N0AVxkQY/e7iluAODYJRz0Zu+Jq9IBYB/4MBYAHGdB6cag/lTshz4V+Z7I93Z4MgDgBouCfvsPwVgcHABWUboBAMdZ1KMHsB4DFixhVgi8iupc6GYhwdO5HUEPHJPnRg3yzLzc65OVhoh8GrbDDrdvss/T2/a/6wH3cZJR28OoF+Ytr9MqXzRveUjiKN0AQFyL05pZi6AHgLjsnNpmBUEPADEdSYeeoAeAuI6kQ0/QA0BMXqdVvrB7vM0YQQ8AsRxL4YbhlcBx+cxsT3987zG8PhH+sN9vpVVttiFX93tVGys5Tk2zzhQI2NCRzkevlPok7Ozu2X3aSBylGwBwHEEPAI4j6AHAcQQ9ADiOoAcAxxH0AOA4gh4AHEfQA3CBOiDzeb2KqnjTG0Ejr5Rx2xZcGQvAEZ3pRWNR6458HNGO2ifUP1/I+WA0yGUux81GPt0u+bpn37WxBD0AxOYP+9mLlIh4lfTwSvfsnOKM0g0AxOV1WrlM2vqFYwl6AIgpGA0kKzf5jpRbHesq83OUbgAgJn/Yl5aI32tKJv+wERSsnLuSHj0AxBWMBtOZiVPVq2zt2tZOPUEPALEEN20pPZj24QuX9cGjRpDoGUWhdAPAEa+tNETkJ/e3KstsxM1YqnqVVdde1cLPZFl4BKeIhUfco5S6CXsPHvDmULoBAOdRugEStnRJ/XpRy8NueBD6tqeJoAeSp78ucl/kfZH7i1/vy4t35InMvz6QhZtP7vIsv8wa4qeK0g0AOI4ePYDjcGt56sHd61onUssi6AEcDf1E9HvLJawPFhubO51aFqUbAFgndBr6VV4lb+nlUgQ9AEQZ57uvZfy1Nu69Tit7budMNwQ9gH3bx7pOB+Pr8PayYDTIZdL7P594qNED2LtvaRGRl8aWF9PG87CNoe2/ftioH/fll4z79SEf4S5Nh2AZgh4ARMIG56RvG8YzS3xjRUEbEfQAMPE/7jLY8vPGrwF/KKVLazv01OgBIK7pOBurP4kVgh4AYusPfZHZyrH2IugBnK4tR/WUW0WllCpKt2fpIoJj1OgBnK7f0SLThUp+7O5R39S6udsT2g+CHkie+kbSZ7Bn4wg9M7aciXzxZGYgSBxBDyRsw3m1opaXkmNeYepOp53UNVMOIOjhghgR8OXtVvCYOdKExUkh6OEI3V5eu+PZvfCVOtZseSb3RO7f4VnVd/b2ghBC3eU/BzMEPYDjsP6Pp6jFwd8x2q8Z7Td2c1LHgeGVAOC4U+nR8zEOcJpCJ0r7ayeWB24Gvfl3ypnIfT1vz7y6uM/q9k123qS918dG7XzXJ933/rP2Jg+M8UK+dmI/tzDNunFRSwnul1dRnQvdLCTx3JtyM+gBnBT9XD48i/yMfUPfiPV7wvJ5K8cIegCY+Pydsz64aUvpsc3TH4jwYSwAjH1di4joKRGZLSJofi3u4w/7Vs9bOUbQA0Bcdq8gOEPQA0Bcx9GhJ+gBIIzWenUpwfTitELBaFC+sHq8zZhrH8Z+zDA7ALuTVjJbInwl94ObtmQeH/qUYnAq6Jle6mRxQRz2YRwpq0uBT/nDfvbC/sKNY0EP4MA2/BUbNfX8rQ+3ofcWfQ6Fpj6Cuo0Q9HCGKu3kMJ+IfLKTA50O/Z8W5g0dTxq6ZpbQzf1b/k7bEYIeLrhrv08p9Sthj/jy0a7gAazBqBsAcBw9esAFfByNNQh64Fg9nzY+1PJy2n5p7GDO0Psyov18g32ijvNc5C/w++UYEPQAjp4iydbi7QFw3NZ8fq6U+s2wO9csPLJJEcx4xqCRfyiPe9X5aPrVLckj6AGcnND0H7s15r+0sMfqNVM2XkXFqBsAiGt19kor57OkRw8k6U6jZe5t98nn97hCYOeOo0NP0ANJ0z8zuaZ0dnGpeXN1Ybx4V5k2GR6zB8FoIK2Wai1sLHebCZ1OJIIeOBV/gqzfseCm3S93zYXBg0b+odhWuCHogdOxj9kdTvtCLX/YX5qO3srCDR/GAuupPUv69WELoZ/EWrkQCT164Baz6c/eMDa+abSjtr++wf6Z44969beTPoO11gyZ39ZK993ahUgIegDxbVIOUkr9btheX9z/XKH7Pf7KdPSpaq+3x+eLj9INADiOoAcAxxH0AOA4gh4AHEfQA4DjGHUD3OLTlYaIlI5/WCROBz16ICa9C0m/CBvt+yK17S2dcNDIz+6qeIm8Z7egRw/AOr+nF9YvfL5F+7Mt9gn19xdz3quo4qDu615qcktVFma/sQJBDyRM/YukzwCxeZXioO7Pl5MqNLtl1fGaBbuSnqAHkrR59UYp9UnYvvf2f30ponidVvlKL0xitnK5rA2o0QNAPMasZkadPt8IEj6vFfToARzOFxcL3KsfbI79WKxBTd889B82/rAvmXEzVe3pqoh4FdU5t26eYoIewEHpby6sovXRWfgqWnddQusXExjwms7k+kNfZB7sXqdVvrBugSlKNwAQU+pBKdcqzkdUepViy76VwYUePQBnfOngnfpUtedLPj0rQJW7umffR7EEPQBnJDL6aFqctxqlGwAHwrQRSSHoAcBxBD0AOI6gBwDHEfQA4DiCHgAcR9ADgOMIegB790UlX1TyF/c8vjKRhUe8yuJ9Vq48wgVTAPbLvI4pahaznfh/0+d5zdj4utE28+5V8+KqZ0bbXIUkjHrXvOV1WmX7FhpZRo8eAOIyJiq2GT16AAelvpT0GeyQP+xnL6yblXgFQQ/gcDaZjkYpNdAL5RczpzYpyxyM12lJq6Vasw2WlnEo3QBAPMFokKv72mBjygtBDwBx+cN+1r7lpEIQ9AAQSzAalC/s7MIvoUYPwDrZY5jROLhpS+Zx0mexEYIegF0SWT8khlS110v6HDZE6QYAHEfQA4Dj1LH8lQTsxF4vwY+yk58ypdQnYYe5p46m1oGkUKPHydFdkfsi74vcF7kvL96RJyJPRD6QSWP2FbXlk4UrdW6jnt2+D7BPlG4AwHEEPQA4jqAHjt7B5mHHmPHeB4388r0WzkhPjR44Jmql/VQvbF/dYeyViO2iI9ovd7T91uNvsrPZfhH3iWLsH0b9OfOWP+xbOpGZiR49AMR1JPPRE/QAENeRTGtG0ANATF6nJa2iWaDPN4KkTyoENXoAiGc8H32van2Xnh49AMRzJIUbgh4AYjqST2KF0g1wRO4dwyztJ8Qf9vuttKoZmyyt5BD0wHFg5jLrFJpaN5M+iY1QugEAxzFNMU6LOtppioHYCHpgHaXUL4f9iHyFWeBxPCjdAIDjCHoAcBxBDwCOI+gBwHEEPYAdONSaH1YwX/jSyiNMagbAafr+tGUu3mG2X4Rtj9p53jY7pGb7LGL7Nm3zmKG+tzhAd3HlEa+i0pVz6xYioUcPALF5nVb5Yh7rhWa33OpYt5YgQQ8Aca3Oa5bO5AYj28o3lG4ARFJ3upBYPYn/TPoosyi4aUvp8cIkZv6wL5mkzifKUb65AA7mSssHIk+Mr9nNl/KuyPsi940v8+bG1Nf2dvr75Q/72YuFnA9GA1naZAFKNwAQz2rhxruuSf3Sso9i6dEDQEzLhZugkS8O6n7Ttv48QQ9g5m4V+R0/9/M1d0YNwFz3mANYXngkV/d1z76UF4IewAJ9b9p6RURE/fBAT3uMU4Gy8AgAwBIEPQA4jqAHAMcR9ADgOIIeABxH0AOA4wh6AKaz6ZcSOdyw+mTmlY9r+ezNOekr1k1dKYyjB2AF/XkRWZwN/tWI9llE+7UN9ok6TtRzhVG/at4KGvl0LdvVujC9pSpd2yakp0cPAHEFjYe1rJHrqerjes6+Cenp0QNY59G6+s2HIh+K/MHBTsY2wU1b6o8Xeu+pas++i3wJesBxITXldXt/tNWT6c+JyB0rMMebQsFNu5+9snJ2m0XH+xYD2NS/1PKDiDnln4i8kHd2NK38P9zbK8BWqNEDQDyp86wsrRsYNPL5hm0rCRL0ABBX4aLcrz2cBXvQyKfbpcdV64o5lG6AmO5W+z4R6gdJn8FhFZq6W1GzOenLXd2za2DlGEEPbOpTo32tw7d/ErF/VHuT/aP2Mbc/jd75uwf8fXSU08pv6Rhmpad0AwCOI+gBwHEEPQA4jqAHAMcR9ADgOIIeABzH8ErgFl9huLxDdnL1gzmK1KuoYmt2K1f3e/ZdL0XQA2s5MDCcC7uW6WsREfnM2PTUaH8m66lfMG4Eo0F5Nk1x0Minr72qZZPRC6UbAIgvuGlLJj29lTrPJnky0ejRA+77R7f06T8S+Ujkfx/mZJziD/vZi1mpxuu0cpnLJM8ngnLgL1MAO6GUEv1O2B0fHVdQ7LhapX928ei/MHs3gkY+XevP7rG0Qk+PHoCb9E+Eza3//t0n2f9C9H3BTVvqvp5lu1dR+YaNWU+NHgDi8Yf97LmR6ulMrj/0kzufSAQ9AMQSjAa5+SexIt51rV++sG7IjVC6AbCJkx6juTCe0uAP+/3WbC56EZkPtLQMH8YCmFj8MPY145437th+3Wi/eRKxLisAAAewSURBVNv2TXa+0wFF1Dd2WKN3ICQp3QCA4wh6AHAcQQ8AjiPoAcBxBD0AOI6gBwDHMY4egEF9lPQZYPcIegATDgwYH9vt5V2rRwt5o7yKKoqt10sR9ACwnr5ZuKkerOzhVYqDXE5GgRSsm9BMhKAH4Cb1awd7qqDxaFB/fDVMd3wRgh4ADmBNDUopJbouIiJvG5vfjWhvwruuZa90Kt3IDWzt0hP0ABBf0Hgk3V5BRM6zfVu79AyvBIDYvOt26XL8CWw6kxuMgoTPJxw9egCIyasUW31pzWcqLtvZpadHDwCxBI1Hg7qvZ/y6rV16evQAToyxVMgWgsbDWvZKG/33lLVVehYeAQDHUboBAMcR9ADgOIIeABxH0AOA4wh6AHAcQQ8AjiPoAcBxBD0AOI6gBwDHEfQA4DiCHgAcd8igDxp5VfFCN4+Zd8625hvByo7LO1sv4qWv23Pzh8R7omPkVdb97xvfH/O7Q7+7wr/lAGcdLuiDxsNaf3WzV0nXst3xFJ+D4jTVvUp6eKW11rqbrT2cbPSH/XJ3NiOopautbytV7bn60rYUNPJF6erpt8pyRHuVdLvk68XvpNDvrvBvOcBl+jD8ei5XLufESOrZ9tmEzt2yjG90yys7Lu16VLrlyZtd7k7fBxm/QL+ek9l9Wk+2lLvmQ/R0+/zVT29EPtxoLLVXj3yMFl6R1nr5W2ZyK/S7K/xbDnDZYXr0QeNhu/T4MrPp7qNBLjOqLJVu/GG/X0sf45/cheYkmJoFEem35Epr3Swsd0LN17T4EBFJPShJ+2b8VgQ3bSk9SK15eCSvUhyvlLDxI2wU3LT75YuFv3sKTeMPIa/TymXShz8vwFKHCPpxzFdDJ+NPnWf7tWtvvNuj1mx7vza8GEdYqT0u3QSjwbzz5WceHe+f3LOIKjR1b/K2pM6ztzxqnvSTnL/bw8e8TitXepASkVT1qtzqHF/SB428Uuma1C+j6ltBI18c1B9XUxHfXVHfcoC79hL0C5+ZrYt5GXddB0WllHooV/NKRG76g5w6z/bbN8G4eD3NNUmdZ/tDfx/nfmjT96p4a+JMk36a83d8+NTsr6JiSyxd9mydVLWntdZXw3Tob3qvotLtkj/9Rgn97or4lgPctZegLzSnlaFmIbhpTysu6VpfWkW1/AM6+dHVvaoM+9nz1Ob902PnVZTqTP5w2SBwxknvzXL+jg+fMEvbvcjfv7YrXJRXftMHjbwqSnfxVa1+d0VtBNy199LN9GdKzz5BW0wXrzJN/qDxqDWpahQuspM/riUYDcbFhvmO461LNdojFIwGYr6KW/vXqQclqRVrk5xf//DUeXa6JbhpT4c7FS7KrUfTsScrv3LttnDCK1X4oJFP17LdpRFLod9doRsBp+32s921jKES5qiJ2TCQheEPIYNDfLOyc2QjJcbnXu4uDheZv6LZkKT5DtOHLB9mYfBN9MPn9+bq9XLIqJujew/DvgGmr3f1T5rJCw59uUf8HgBxsDg4ADiOKRAAwHGvJvv0SqlkTwAngr9cccoSDnoR0SLyusjrIq+JvDZtrN7c+Q5Le74u8rq8PJPPRJ6JfCbzxuzfpe2b7zC79047vJSzldNd8zJ2uEPYm/hcLbzIZ2tfxvodQt+su+yw5j881LeE/gROGqUbAHAcQQ8AjiPoAcBxBD0AOI6gBwDHEfQA4LiEr4xlHD0Og3H0OGVMgQAAjqN0AwCOI+gBwHEEPQA4jqDfkaCR38mK5bPjxDhg5EOCRn5ppXVjm7nS+nzj0S4cDmAFQe8Kr6LStX74PenhldZa62629nC6vlS6XZqu3TEojn8BeJV0Ldtd3Abg+BH0+zBbHX3aLw4a+XyjsbzV2DNfqeTzjcCrTBbWnezSCXlIxPMVB/Vu6MqxXme2XF6hOVnI0eu0ylfV6QKqV+P1V4PRYLome6p6VR6vyQ7g+BH0u+dVioO6P+kXzxK6X2tnfK217s6WbZ3vqa+k1ReRQnOyNt546dPWYOkhs98gi1WXQlNr3aumw84mGA1ymdH098nkiQtNY3HVlfVXAbiFoN85r9MaL2cuqepVudWZJv20C53O5PpDf7LndGPhMqw3vvKQQnNpKcjmJitb92vDi3GVptR+uFSQCRr54qD+uJoSSZ1n+5M12YPGo1asFw/AQgT9PvRr6XEPutiSwSiqABKMBofpSU8LMpI6zy4UZLyKSrdLfm9SxCk0/fqgqJRSD+UqtAwE4BgR9PtQ7s773NMUXZU6z0669huLKN2skzrPhm4PGnlVlO7i+aWqvclJy7CfPY86cwBHhaDfucLFrAjvVdS6sSvmntfhI2aWHxGjdFO4yE4KMhKMBuOqUtDIp2vZ7tLD56cbNB7NPsEFcOwI+t0rNLvZce1mWv2+fc9OZlIqST0o5eajbuIzxtQXml0pKqWUSg+vetWUSHDT7ou0ikt/GcxPJ90u+RuV/wEcASY1s0PQyKeHV5t9tgoAd0KPPkHGxal0oQHsDT16AHAcPXoAcBxBDwCOI+gBwHEEPQA4jqAHAMcR9ADgOIIeABxH0AOA4wh6AHAcQQ8AjiPoAcBxBD0AOI6gBwDHEfQA4DiCHgAcR9ADgOMIegBwHEEPAI4j6AHAcf8f/2hjVsb7h+IAAAAASUVORK5CYII=)
## -- This method creates a special object class that can then be replotted
## -- without needing to repeat all the computation. We can also replot this
## -- object using different parameters. For example, in the following script
## -- I will invert & then gray-scale the color gradient of our original plot
## -- & then replot these two trees in a facing manner.
obj
## Object of class "contMap" containing:
##
## (1) A phylogenetic tree with 26 tips and 25 internal nodes.
##
## (2) A mapped continuous trait on the range (-4.964627, 3.299418).
obj<-setMap(obj,invert=TRUE)
grey<-setMap(obj,c("white","black"))
par(mfrow=c(1,2))
plot(obj,lwd=7,ftype="off",xlim=c(-0.2,3.6),legend=2)
plot(grey,lwd=7,direction="leftwards",ftype="off",xlim=c(-0.2,3.6),
legend=2)
![plot of chunk unnamed-chunk-4](data:image/png;base64,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)
## -- Now let's try the same thing but with some empirical data:
anole.tree<-read.tree("Anolis.tre")
anole.tree
##
## Phylogenetic tree with 100 tips and 99 internal nodes.
##
## Tip labels:
## ahli, allogus, rubribarbus, imias, sagrei, bremeri, ...
##
## Rooted; includes branch lengths.
svl<-read.csv("svl.csv",header=TRUE,row.names=1)
svl<-setNames(svl[,1],rownames(svl))
obj<-contMap(anole.tree,svl,plot=FALSE)
obj<-setMap(obj,invert=TRUE)
plot(obj,fsize=c(0.4,1),outline=FALSE,lwd=c(3,7),leg.txt="log(SVL)")
![plot of chunk 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)
## -- This plotting method is fairly flexible, as we've seen. We can also
## -- plot our tree in a circular or "fan" style. In the following demo,
## -- I will also show how to add raster images of some of the taxa to
## -- our plot, which is kind of cool.
plot(obj,type="fan",outline=FALSE,fsize=c(0.6,1),legend=1,
lwd=c(4,8),xlim=c(-1.8,1.8),leg.txt="log(SVL)")
spp<-c("barbatus","porcatus","cristatellus","equestris","sagrei")
library(png)
w<-0.5
for(i in 1:length(spp)){
xy<-add.arrow(obj,spp[i],col="transparent",arrl=0.45,lwd=3,hedl=0.1)
arrl<-if(spp[i]%in%c("sagrei","porcatus")) 0.24
else if(spp[i]=="barbatus") 0.2 else 0.34
add.arrow(obj,spp[i],col="blue",arrl=arrl,lwd=3,hedl=0.05)
img<-readPNG(source=paste(spp[i],".png",sep=""))
asp<-dim(img)[1]/dim(img)[2]
rasterImage(img,xy$x0-w/2,xy$y0-w/2*asp,xy$x0+w/2,xy$y0+w/2*asp)
}
![plot of chunk 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)
## -- Another popular visualization method in phytools is something called a
## -- phylomorphospace, which is just a projection of the tree into (normally)
## -- a two-dimensional morphospace. For example:
phylomorphospace(tree,X[,1:2],xlab="trait 1",ylab="trait 2")
![plot of chunk 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3j7fXXqxGcFWvXjmJM/3cUQT7cuKwar/P4hpBcsDwkQ74C9yreeN5wZEO+Caf3b/jjjECHehV7xOWuHeEfM4Z/DJ5mHB/FOnFf53LVDvCuHKl/PvSUgNIh3Yy8+y1O3PiDeEVNAPE3SmbE/YYf40KRzYz/9oQzvEO/IYdJLKVFBvJ1D5T7MewjxBEmzp7NvNxBPkTR3uuOIjISOmz0Qf87KNBPu9LTgZXTdNED8GYvr3ZBJiI+UNFM2bx53z4bsOWWXci5XQHyXhbn6fTNytM+7GPMQf061n1/f9E6jKaffDuK7VJNoFsW3fYsgniJptgzMcg3xBElniRjvEO+LlKgg3hMpUUG8L0LCgnhfhIQF8b4ICQvifRESFsR7IyMuiPdGRlwQ742MuCDeHxGBQbw/IgKDeH9EdNhDvDcyLtFBvDcQH5Z0jhzmbsw/Noh35agb4uOty4u+8bZpSkIHxA9j3a/nHh3EWxk5lmceHsTvOL1LzuUwnld85ygXv6gMV6Nqj6rdm245BGhFufjqUSLVHRTH8zSfUucQoQ3l4qvHSlTyJ56d5xCiBeXiq9n2LfdEO5FDjP0oF9/cL1VM74fNIchelIsvFvv7pab2xmURZQ/axa+CHxSXRZhdtIsnIM84IT6cLAOFeAJyjBTiKcgwVIgnIb9YIZ6E/GKFeBqyCxbiicgtWoinIrNwIZ6MSfFu382py+EGxNPhG/D62XxwcrWoQDwhnhFv782smTA5ARBPiWvIu0uByz/e325ePUQs0EARghZHWzdX3GLeX/wva/vi+kOagzzE0+IS9GG4T1Xblyb4wvAkIJ4Yh6iP47yq2r568Ri9UH2FCFocbd2MGQu7PZw3fBjIZCCenKG7b3YPMmNw2yXE09MfeFt2eu/B4qvxyTVXnbOS5LEloxs5A9NnBNf47b3tOMUt1AtyEjqD/XoP4bv63TObWuuImTViOvvw+W4GHOOjwP+3D/FRYG69oBK/7DvO8w48LhCvFe7eIT4W3KPHMT4WzMOH+FgwDx/iY8E8fIiPBfPwIT4WzMOH+FgwDx/iY8E8fIiPBfPwIT4avOOH+Gjwjh/io8E7foiPBu/4IT4avOOH+Gjwjh/io8E7foiPB+sNAPHxYL0BID4erDcAxMeD9QaA+Hiw3gAQHw/WGwDi48F6A0B8RDhvAYiPCOctAPER4bwFID4inLcAxEeE8xaA+Ihw3gIQHxHOWwDiI8J5C0B8TBhvAoiPCeNNAPExYbwJID4mjDcBxMeE8SaA+Jgw3gQQHxPGmwDiY8J40jOIjwjnaQ4hPh6s57OF+HhAvFIgXiuMvUN8VPh6h3itQHxM1jfGXKcuRD8QH5HV08fyH57mIT4i9fOCt+/TPC56BIiPyDeVcojXR/3gDuzqFbIoz+eeJnlY9CgQrxSIVwrEKwXilQLxSoF4pUC8UiBeKRCvFIhXCsQrBeKVAvFKgXilQLxSIF4pEK8UiFdKTPGAM/HEkxGlEDESFVRQiE+dJsRnkKiggkJ86jQhPoNEBRUU4lOnCfEZJCqooCzEg8sD8UqBeKVAvFIgXikQrxSIVwrEKwXilQLxSuEhfns/o06ymnOSNtHNXYR5juiLWeGwPXmIX5IHv3k5L9bP5oQpVhtzST2zGX0xaxy2Jwvx689fU4uvJ59bUKa6efVQrJ8Tz2VIX8wKl+3JQfz23d/pd/VFU53oWH/xSJziDvJEnbYnB/HL2wjH+GrffEuZXDVhcQzxxMUsHLdnYvELY67LqkQrflFPJb65o92gkWo8dTHrgvIXX7GsR4GTh39DvBOJcoynL6br9mQgvohxOke/QatdMnmrPoL3ijxqfBFDfPOzJ001xnl8hGJWZCMeXByIVwrEKwXilQLxSoF4pUC8UiBeKRCvFIhXCsQrBeKVAvFKgXilQLxSIF4pEK8UiFcKxCsF4pWiWfzpYOny3eED+mHU7ID4ng9W5gri5bK5M1ffff766qG5VXn9/Pu7RvjiyV9R4yVT7dxvZs2tyvV+Hrt6HbRUb15BvB4Oqhem3MdDvBp2qjd3M+zqVbFTXf//bA7xatjeX31XGV4a86vXs1J2+UEjHOKBVCBeKRCvFIhXCsQrBeKVAvFKgXilQLxSIF4pEK8UiFcKxCsF4pUC8UqBeKVAvFIgXin/Bxyypp0llDk8AAAAAElFTkSuQmCC)
## -- For more than three continuous trait dimensions phytools also has a method
## -- that I really like, although I've literally never seen it used in
## -- publication. I call this method a 'phylogenetic scatterplot matrix'
## -- because it contains unidimensional contMap plots on the diagonal &
## -- bivariate phylomorphospaces for each pair of traits in off-diagonal
## -- positions. This is what that looks like for five traits:
obj<-fancyTree(tree,type="scattergram",X=X[,1:5])
## Computing multidimensional phylogenetic scatterplot matrix...
![plot of chunk 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)
## -- In addition to these continuous character methods, phytools also has a
## -- number of discrete character visualization tools for plotting discrete
## -- valued traits & trees.
## -- For instance, phytools contains a range of different methods related
## -- to a statistical approach called stochastic character mapping, in which
## -- dicrete character histories are sampled from their posterior probability
## -- distribution. For starters, I will just use a stochastic character map
## -- tree that can be loaded from the package.
data(anoletree)
cols<-setNames(palette()[1:6],mapped.states(anoletree))
plot(anoletree,cols,type="fan",fsize=0.8,lwd=3,ftype="i")
add.simmap.legend(colors=cols,x=0.9*par()$usr[1],
y=0.9*par()$usr[4],prompt=FALSE,fsize=0.9)
![plot of chunk 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)
## -- Normally, we would be working with a set of stochastic character
## -- histories, not just a single such history. Here's an example in which
## -- we first do stochastic mapping, & then we plot the posterior
## -- probabilities that each node is in each state.
ecomorph<-as.factor(getStates(anoletree,"tips"))
trees<-make.simmap(anoletree,ecomorph,model="ER",nsim=100)
## make.simmap is sampling character histories conditioned on the transition matrix
##
## Q =
## CG GB TC TG Tr Tw
## CG -0.11570723 0.02314145 0.02314145 0.02314145 0.02314145 0.02314145
## GB 0.02314145 -0.11570723 0.02314145 0.02314145 0.02314145 0.02314145
## TC 0.02314145 0.02314145 -0.11570723 0.02314145 0.02314145 0.02314145
## TG 0.02314145 0.02314145 0.02314145 -0.11570723 0.02314145 0.02314145
## Tr 0.02314145 0.02314145 0.02314145 0.02314145 -0.11570723 0.02314145
## Tw 0.02314145 0.02314145 0.02314145 0.02314145 0.02314145 -0.11570723
## (estimated using likelihood);
## and (mean) root node prior probabilities
## pi =
## CG GB TC TG Tr Tw
## 0.1666667 0.1666667 0.1666667 0.1666667 0.1666667 0.1666667
## Done.
obj<-summary(trees,plot=FALSE)
plot(obj,colors=cols,type="fan",fsize=0.8,cex=c(0.5,0.3))
add.simmap.legend(colors=cols,x=0.9*par()$usr[1],
y=0.9*par()$usr[4],prompt=FALSE,fsize=0.9)
![plot of chunk 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)
## -- These are not visualizations for phylogenies, per se, but there are
## -- several other related plotting methods in the phytools that we can
## -- employ here. For instance, we can visualize our fitted discrete
## -- character model:
fit.ARD<-fitMk(anoletree,ecomorph,model="ARD")
plot(fit.ARD,main="fitted ARD model for ecomorph evolution")
![plot of chunk 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)
plot(fit.ARD,show.zeros=FALSE,main="fitted ARD model for ecomorph evolution")
![plot of chunk unnamed-chunk-11](data:image/png;base64,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)
## -- We can also visualize the posterior density of changes of different types
## -- on the tree. For example:
dd<-density(trees)
plot(dd)
![plot of chunk 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)
## -- For binary traits we have more options still. In this example we will
## -- use a different empirical dataset consisting of feeding mode (biting vs.
## -- suction feeding) in elomorph eels. The first plot is just the character
## -- distribution at the tips; whereas the second is the posterior density
## -- from stochastic mapping at the edges & nodes of the tree.
eel.tree<-read.tree("elopomorph.tre")
eel.data<-read.csv("elopomorph.csv",row.names=1)
fmode<-as.factor(setNames(eel.data[,1],rownames(eel.data)))
dotTree(eel.tree,fmode,colors=setNames(c("blue","red"),
c("suction","bite")),ftype="i",fsize=0.7)
![plot of chunk 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)
eel.trees<-make.simmap(eel.tree,fmode,nsim=100)
## make.simmap is sampling character histories conditioned on the transition matrix
##
## Q =
## bite suction
## bite -0.01582783 0.01582783
## suction 0.01582783 -0.01582783
## (estimated using likelihood);
## and (mean) root node prior probabilities
## pi =
## bite suction
## 0.5 0.5
## Done.
obj<-densityMap(eel.trees,states=c("suction","bite"),plot=FALSE)
## sorry - this might take a while; please be patient
plot(obj,lwd=4,outline=TRUE,fsize=c(0.7,0.9),legend=50)
![plot of chunk 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)
## -- Or we can show the full posterior sample of changes of each type on the
## -- tree. These are not changes from any single stochastic character history,
## -- but changes in our full posterior sample of such histories.
dotTree(eel.tree,fmode,colors=setNames(c("red","blue"),c("bite","suction")),
fsize=0.7,ftype="i",legend=FALSE)
add.simmap.legend(x=0,y=-4,colors=setNames(c("red","blue"),c("bite",
"suction")),prompt=FALSE,vertical=FALSE,shape="circle")
nulo<-sapply(eel.trees,markChanges,sapply(setNames(c("red","blue"),
c("bite","suction")),make.transparent,0.05))
add.simmap.legend(colors=sapply(setNames(setNames(c("red","blue"),
c("bite","suction"))[2:1],
c("bite->suction","suction->bite")),
make.transparent,0.1),prompt=FALSE,x=50,y=-4,vertical=FALSE)
![plot of chunk 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)
## -- In addition to these methods for either continuous or discretely
## -- measured character traits, we can easily combine the methods.
## -- For instance, in the following I will overlay the posterior density
## -- from stochastic mapping on a dotTree plot of the continuous trait of
## -- overall body size.
bsize<-setNames(eel.data[,2],rownames(eel.data))
dotTree(eel.tree,bsize,length=10,fsize=0.7,lwd=7,ftype="i")
text(x=28,y=-1.8,"body size (cm)",pos=4)
plot(obj$tree,colors=obj$cols,add=TRUE,ftype="off",lwd=5,
xlim=get("last_plot.phylo",envir=.PlotPhyloEnv)$x.lim,
ylim=get("last_plot.phylo",envir=.PlotPhyloEnv)$y.lim)
add.color.bar(leg=50,cols=obj$cols,title="PP(state=bite)",
prompt=FALSE,x=70,y=-2)
![plot of chunk 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)
## -- Alternatively, we could do this as two facing plots - one of densityMap
## -- and the other of contMap styles:
layout(matrix(1:3,1,3),widths=c(0.39,0.22,0.39))
plot(obj,lwd=6,ftype="off",legend=60,outline=TRUE,fsize=c(0,1.2))
plot.new()
plot.window(xlim=c(-0.1,0.1),
ylim=get("last_plot.phylo",envir=.PlotPhyloEnv)$y.lim)
par(cex=0.6)
text(rep(0,length(obj$tree$tip.label)),1:Ntip(obj$tree),
gsub("_"," ",obj$tree$tip.label),font=3)
plot(setMap(contMap(eel.tree,bsize,plot=FALSE),invert=TRUE),lwd=6,outline=TRUE,
direction="leftwards",ftype="off",legend=60,fsize=c(0,1.2),
leg.txt="body size (cm)")
![plot of chunk 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)
## -- As another example here is a stochastically mapped discrete character
## -- history overlain on a traitgram plot of body size. At nodes I will add
## -- the posterior probabilties from stochastic mapping.
phenogram(eel.trees[[1]],bsize,lwd=3,colors=
setNames(c("blue","red"),c("suction","bite")),
spread.labels=TRUE,spread.cost=c(1,0),fsize=0.6,
ftype="i")
## Optimizing the positions of the tip labels...
add.simmap.legend(colors=setNames(c("blue","red"),c("suction","bite")),
prompt=FALSE,shape="circle",x=0,y=250)
obj<-summary(eel.trees)
nodelabels(pie=obj$ace,piecol=setNames(c("red","blue"),colnames(obj$ace)),
cex=0.6)
tiplabels(pie=to.matrix(fmode[eel.tree$tip.label],colnames(obj$ace)),
piecol=setNames(c("red","blue"),colnames(obj$ace)),cex=0.4)
![plot of chunk 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)
## -- These are just a few examples. There are many other ways in which
## -- discrete & continuous character methods can be combined
## -- I'm now going to demonstrate a handful of other phytools plotting methods.
## -- Firstly, phytools can be used to project a tree onto a geographic map.
## -- This can be done using linking lines from the tips of a square phylogram
## -- or directly.
lat.long<-read.csv("latlong.csv",row.names=1)
obj<-phylo.to.map(tree,lat.long,plot=FALSE)
## objective: 110
## objective: 110
## objective: 110
## objective: 110
## objective: 110
## objective: 110
## objective: 110
## objective: 110
## objective: 100
## objective: 100
## objective: 98
## objective: 98
## objective: 98
## objective: 98
## objective: 98
## objective: 98
## objective: 96
## objective: 92
## objective: 92
## objective: 86
## objective: 86
## objective: 86
## objective: 86
## objective: 86
## objective: 86
plot(obj,type="phylogram",asp=1.3,mar=c(0.1,0.5,3.1,0.1))
![plot of chunk 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)
plot(obj,type="direct",asp=1.3,mar=c(0.1,0.5,3.1,0.1))
![plot of chunk 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PPzd7ZWBHmdPr459JRstQHux3NdwTQjEQESBmLqL0/iuSpDqDnaS+Sahu0uCJ5OfwuEsYvg0MuYsfjH9qH2hk/5QV/WjVwcjgjPlhbURfUXadMNMEw5wXYvLfRNm1wTPSl6adoA9skXUmQBV7eKtCb9y5jjjWB3EeVxjwQCxEUdMebfcE569LyyftboD8FXJS4aP17tNRER/qr9V64LrjAZo5a/E4XGADEroe5j5l5V7USL3RdVsNEWXaXGReAqFJbf1V5gqes3Z4+DM4qL/E/T55kEmrhP3VmBtk9DH48/Rt3vRvGjBYd2YVQDv+Ut1afCFw/uWKn2LDR8P8chVcklp8K5DFzZchMBPCkLMNdYOa3DKN/j7AV9OvmZ89wdDy56D98/T4GF4F7Omz7YFZJN3B7+s3NtlFxsnZrV5J2N8wcIsqsPqNXf6XrN3fbB3eWPHmPt7ctYcIeTX2+/2tt3uFxwmGRS0amXw54AvK32D8JRQPGPMtn4hj+hX7B8Peg/M3W+2CLOy6zf6Dfq61rVzP8s1oQecSIN+s5ppr5q+vjZp8dPVdbNDtKLaeon5zfv6G2T4KNSG+3Zs6zaIBwNBBXngjkmbXqSyTmI101ZVzu1BMt4e6aBhbqfBbyHadby3+73IioxUKDKsq+BhWSW34I2r16xOzgBfbPL1XX04S5s9Y7/NOdDz8uaxq3/n81kZP8+cALfbof95fr0VmkKjd507Xj5oWCengC8lfxx4pddVptnBJ+Df1ytxCwOPkYsWz6b0xb09XpLB+3+cu/v2I7U2zvIaqKm+9FTqSn9AhhA7zV67z6upf7CBN9N+B35Z4LYby9XLL36tHQElHple9q29yfuK3/789zU1UHFuRioF5A/s56npTtMEkbqfvFi+/uTFI38I96zcIQBAvDohx/x1sG9IKL7N6bIw7jYecQ/gS8g3zhlqRsz/Mq+tq7/a+lqzJNBrPUFUDIk8etkOPLV2N/jcBfhlQTtXksot2XtNZjF4idQ24v/PR6tD957hTkL8m3NPFnT90ij+0q2wZYvEGHAvf3fgYePKlOLqHpgvYQZuP3j1bO3131uPsmFbc86it9sRby0M3h6D7T6XO+miUHXcKXi3YHl78F5dT/NHn0yzmcOBYISdZ+rXSVfA2IndF6B3Oebgtxd3A35xM2FcG6+/rdSHtsLAng4H73U6m4P31eMk6ZnOyfZeTe7XJrbZ3w559D96Ve3bupd528djtdDoOklpUfK64r764afTVz/4GDoDu735wGwI2MG8KTL3kX7lHoExCWOFZ+DIi8z3bUXwrbCfCF5x986Y9+OwCrZuwqj+sz4aZoL55g76ZMzbQzlb21eocdhVFO4l0CKiF75DsUvez3877qeC5479Fj774kNo3M6RbvxbFMti7qGwMTCCnHHicVx0KLyykHlMkrGlr3ijzwffkPvZXb3fOz5avFL/t4UeMfjmJg8u2kQGbgmb1xYsKzgJ2C/cjtGZ/qzeBV6nXZsnvp3+25L7qeD1tiFeVT9Q6ut/fr5+Pbv46BHxG4NplpgzyjiAj0goA322hyi+9IgndN4oYA0d4oYx8v4I35T7ueD1xkZm8q8fP3uuv96w63XQKeUntHIFs7NAXaPXdju1D97C19daqNMQnuNLBh8Bjw3e5L1tXZwLfpEdIn7UttOxKXjLSa+ZyTNrz9Fn/HjOzTWx64Jm8HIK6Ei5daDEoMq2ApBKbFAjJ4PHq5uuNvzDjH/fInco9qom1tvGwG/oY+C3z2abU0QyFq7D4CODPDf4xua+3AS8N/zJx6GAaaFmxFxfE4dUhNr2PqG+gPRg5W3DjoPvShegih3MaE9PCt+e+03A885ePmxbhyrMHkduLopiblK1C62B7K0WTV6ZO+tQerGlGdsbxMHre7hgsDuA++nghWE+mAW9zznz8iJycznkhMlofK5kbiebvBFayBWmrTiFnU4BuB/jztvaOOKiO0mySZC0/uo2oKS7s7KZo4uiOVag4s2ki3JCcVw+ewOUkxmWodcPIKXBPSHmb6/kts+3dudtbRxy1XiSsIspAN4NluqbxJKC2kFuLotmzopXOKp1EnPb/nePNwt09sp+azMTjs6Q7fbW/nGQT9lNN+ZqmbWbqgLwjW7hSQC/LG9/anvRwGX2zJwkyMFT8mQYwByU22AvgIfLsbXTwMyBcIbRx9k+7LI0F3LXXJ/78eW7KUVNqo6CU1o8kkG2eOsq2cmxWr58bodPD28ycndtL75C4ueUIjnOTut5+ImcQlLDG3gpd1J2113YlkXLiF4/gi9+rptQHWVn1c60iMVDI1ek+mCh1jIG0OlmLiZIiPqhNuIGoFO2BTx5+IYxHiWnlA9f8azA7E75Pamy3E1ZHz4w93k0USm/huDRY7xI9b15X9n3M2VeliCdQ7qqx3/wSzTtB/RyX6+Ux90VEcNXLCsueLtI4GmRH/7qo3YGX+7c1ZLH4JEhwFWVeuN8PAy+PMMi+ImMsfwrTlk/70zgLs5N0Gl2NQ/nxfbzbmwjp/Pu7eGd3/7yRWnp/cwVn1ht8nyUJ/X3+He9ueGbL7bd7GaLRtXUJgTeWxwX2wDkdPbXGvQfIUXaZFDmFYwjChoEv//ZLgQ5i//g0dctv3WGZ67VhfJTZHMY5Q2U1tOzLlHljDYEnvONglfLPJN8kzvlIwlujcbCd72MghkcMnhY/oG365/Vs3v4lt1gWW13ledXpU3ny55Xi717PaNaCn770F2uAXgTm7evXdZ3E7RNw+04cIXW5yuw8vWwvQcg3DN41v0qPAqSoxbo5HNnE2THYgPwplc203rAH8iU4Mcsi4nwmEHCjBOOuDmk1cOtgroteHJrlWn5Uo7wAkj29YWkSsGD/z2hAE14bivMXOw3ZnsArOrTS8z+kN9aNwa/uIVa5TaosCPI2J6dYeRJS+Ea9prC9sAb09XERKQkaZcCB6/0ChT8YCHtERIiJffd1WuZodzUAB8x+UPqCi6uX9gaJiE8HDnfaRGTG8/tDH0KDe827QB3U2a0ix8ZuPEBdgr6FMBvcjtYvNbPjsu8LAmaeJRFtiHuGhAK4phdd+HUo50CAb9e6LN1mg7OzNO3eC3bFeMiCxO40viBF3yXQnMMPP8OhiKIvO1EFsDiA1ma3TW/+3jQCt49IlvFpjD1iyW1F2gn1wnDzEc8rObynkGjEcazcgE84J+gZ4o/IF0GbyNWs3kQzwp+2sBj7jGjf0rgF/C8daZC+2gKbd66kIQ7hM/E0d83eAseD0jxzR+mZ2BZMX/NLG494ttqjVPi4F5P4FHcdmZ1AG/Kr6wIezQZw1ij4Cd3jkIXDqOXLV45iwfwq8X/+ydebuXLfvl8eahcmb8aeLNSQzfHtgPvQKPOnU3jSThxQkdJszO7HTKA3qTlfWr+WPB6jJ8/e4EOiYH/+le//VVl1P5y4PWWVfzO1YCNbBZf2KF1vTa7oSXU1wvgCRrJD12MyYfB6706jxd8/d3HNxi83Nnb6N7D955HCppUGykHnSqFN1UruzkJjcHlV0a9u5vVe1E8sStgzz2CM1F2RKuXwdv8zKbA3i4DWKWgJ8Jx9ct0lwOvHxRv35nKdb1tDfiFEgevnnXprl9AO+LoYbAmR4dvcfYpz+ZmJE1YBq/8s9YXX/5t7Z6Mi4E3Gx3szjuFwfPhtUBKAWkHnvXoYPCuqSl+/wM0Dm7Mgbs49LwPS39n+rbtMt7dcRw8OvXN+3hYKKuKutPbit6QgMyTkilPwFDHMznFDB6ih7yz93w9falQGew7xtrkw/yx4JnBgw+AXYjZ/fn6ly+WN9+vefTRpcDjJTj8YDHudFeO8nRCx8G7j7Fl89eTdfPlpUQMe+u42HFvLVkLflk+czM5zH2yfUVxkYNV0fyKUb0Mzj65cwMLNzyAVkleuR4kBF507BUDb9CLRfFSZcP8W6WtVTk3Ngje9RWBuG9W+evPK9Pbn/1M9kZ5kzbggTSp74qVapglWKhsluY1NLySy8GHgvDiOE+q4ed29g8zGBn8TGY4coGkb9X+msa54L/84Ev88Asr+3r9qdBvoaELGx4OplcO8zh0h3oA5OezPsBrA5AROQ1vRZFb/M+Rt6c/8sEL+zOi5Uo9sPD4Kj06JcYnga1lxO1ZtxNibxVXusIgaib04NyhiDu2dG9kCZi8jS1LkvovpPWZlIruqUTg12ZiPi9u4fsnngrebJheyNRkcU/pXMH/BxoLRJ/axt2K0dsJOmo82NKJW0eGGc/HD6a/44tt4O1Gu8c8vHz+9SdQbE3ddvfhi6zdo+IuU3qNnAr+5XP7k99sa6F5t5blnR3wCibikYrfkSGOI+7U5TOhXIWD+/DiD3//8fby9Z+F04+T38BP2nFbS7EaBKoKMpbFyvj2J+WT+ZK6K63vLc5ogo1sjJ/tLQOPbgBKiFsY4hH2rUpKYKNFkBIaXbxEH/XFj59Nr2Kpz2IyJMnJPGJDj+jr/zM8MTmSVVd15ilxZbrEPJ6AR4VhzjwKm0xmPt4wEwS0MIW0joFal1B/828/+m/1wmZeKtJ2yXh6k4Knt7pZPw0HCptwXGf5siZsewnwcK8I9er9uJn9T7vmVTN6QQBenLqhhdwf/dePfvcP6lfscZysSHuJQT+CHpNuA0zuqMWbm7l4/c6K/M52wJ38tT0tLw0hRuoia2YAbpugje/4wRr4b/37m399Nn2hzG/TBcCnkNflgMi92W3PhjC+5xi6x7qdGFcGz7paNw1DnlizjCjr7fNgngD+iz/9UKnv6Y62GLwmP8NGXdvqVu8OojLU2mEKvKwDvGJRD6FIpV/eUt5ECtNGXzROEdwIgTuAf/0d5Tzq2f1MFdW+yc/op07xZtAZe3m2iPkB+zsF76H2+t+W4CFCLIFnoVxpiJGoxEGtIO2oZQoMCSz2HqvFRH/aL9NcCDyFSOMoPnLzdSv/zoEX0mOZCC3KeZ+Ek5vtszAnFz1E/ZgeeUzUdsmL3SbqUuDJ1lVLNkLeOsaNknf27IEnU7xQgv7jmULHwXpbGLxt03ZtN6ONK8AaOeFC4ElelKvyIHjngzcphWtj3hBPh5pwcgy91P3jTtvGBuzPd7jr25jybH/K2gwJLOW9ct8JeCwFU2fZzSZI2gz14EH64Rvi3UUTYxtw+JfsBlBlfxlcEfDWw9HPgkCPBSHbEevKnHT2DVqHm77h2ZtA3tl+/X2ENjov9CzQBHZjBwQujUtLpYQiPr57hsCbTeZqgU0piviCi/YD2kWtiw9qLGJ5YfDu+waOnpLHFdTwkhYIyJMt7EeBG8LA5JVeblP2dlyzXmsHd9T8mS90eiTm2NaQxR0hqkxUnjaSnKQk4TC7iEu4oKuNv/n+/26L9EpH8vQ8fnHgF9b48MJiWVkTDpAvfTR4XNup4GtDuIFhhUSMpCSkJTR4EaK+LsaqDxYTeX7QGxXsr0V7/ReyeNzEi7u5FPC3kDP4dOphMMmpyu4EXTSQzhM+m2fmw3OtDyhdN0rrXgR+KXYmcTuePcgNTAUKnyxcXE0HNwgl1noS+qpkpRWaffCiDPQgeQ1e2e59A68ceNqJQ89P/Fk7CpSUtOCcM1QOvoq8nTU1Ac/+cpmufjHd+0e/NzBm684vPvgFTTpcp1BC/qrgl7Kevh68AU3o09ep19oF/769HUbh7t3bbQej+fY/Bu9ynY/+suBd7O5M8LDf1v+Fklzwbkt8gPza1ZtF9VlvtcMuCnXekC8HzZL1B5nFvjB4skzTBHxCYdESgWzy0QpefbUFdpDDxzL57enzL2FV3wSPYOLuIvSIqp3pc98vn3zK0clXPGYnVDvw6YmShMmwHy/jl7BrcF72wFOZ1TpBCyKg94Tqz3SkB3+RU/KmkbujtsBlWX1dJkTwE4nhxE5/nJR97fbiwcep5HUWqMn7WQQHX1H07cGnX+0Y8gr9OZb7IvXvNPn49T97oX8/BN8vsiSR928aDdkw7NWiUYtbgm97OW5yaeBbJYrcZ9z+dlrWg7k7MA+88o6RIzj2O3SM/0VaDVzXucPgFfe2DuMubPEk4Pc6VHM/sPtdCaNck9+yAi/ofD2cg9PAnxu+S+nrW4K36GmobIrHyvQTAGYvSF9CHvJkbJvM6NG37OOmfttNxLvdffL1xaHgkUtPBnkeZdkGdnejb9LOSy+vUZNHy85ZDwgIHXpp8OQGeVL5Ie6te3qXuEsaMYf09sHXmDzzK88Aj6NGN5C/Ih9H37Sjp4mj5UI4WIngQytyAawv3c3OQfC0XTd5ln3sGOQ9JlzpCElbMc4Hb3NgOwA42BFA4DNvrVmDti+fhw7RM3o3rzWZ3AFSDT7rSodI+RBiJn8UeD3GThz8lAWeYTVHkceWCeDxjj+Ubhq32oNuJ7TZ/VR8Y6oAAAshSURBVKbg9X8UvEIA1rv+3Z3/od0XZBumPezB3QHn3YtFvQtn8fGSJvXQbcDj0GFbCTdUNAEfCo1I6cB03nj35lA1Ictbd0pKz3UiEsEv8DAIf98GKyoCH/0NJA5eOrbNPL7FD4uHkvA2QEb8u4ZhOxqyVXyI5+N9moSngKx3uWvw8EAgyI207dP+Lko6eLkDiJ2/X5BTvD4/aBcCX50dpWgLQ6kpGznWBxYmKOyzf2m6ei++q/PySqlvfEyKmNDkaAQ/G3ySc4jTSDi+RIo3/ZDJtxjiYTXUheowfphKlyUYuNmCf6MfpLKm+fo7n27/sM3vtzkGfucQ76vcYtGYRkN5fd5h4HmknoFX7MD8BEPhe36z1WK25Hzxof2PlzUx7Xzw9pakjMD/zhXL5Zn8QeD9tTm2QsgOrAEfj+TbzVi/Xrv5V89SCqvk16ElvkgmrzPVow+cDXl3DTobf1GWeHj8wIIEZ+/FInAH8JuxvxIs3i9tCLycj+vAjYk+yjY0xrcoixchRF294seRe9hSUxA23wpxGwv+cXz/4o9/8ykvarChgxOyl43GFn9QO1LY8ELgm3gXivTtKDEKXrEhvwa89+O5W49mxvjp9fqDdH8sghdbeuqdNXvHiK0q4bptxcAHnpPQKCkG3rW1cE+f1eZm8sd/1HV8AXKvqUd27tDjMnJ8O6nJPo4ksjzbFjy7Z7ORb7dpRv/XcI+Qt68j5SzL+8lSxuTwbhheBa1K4q0OoK0YcMxe1DSq2fsfpZ7DPXAHZ5Ou/hJSFjzytVh09TjwyJ1kFl+c4kz/E1JPJl+ahfsAr9ejKPGy+9kS0yLg4X/e1ZenOqN/YurHkz8SfLNrK/Y7jxR841ghn78fBF7mng++NBN3YfF8Tz3a9NycOwPvpvFkMFG7u2Dimi37QOo55MvycZfg8U1NzdcGHHEcqef1W+tTzLPMveU9olHdB/hJsvjjweNupXEygd0aJeCfssVz8BNanjwitYnPGNvvNw3s0snmXloDtwCfnSa/Xxavl7ZfBpaCg6eBLxnki9K/E4v3qkMd5dvZ7paneFnwd2TxuZJulFV1xd5Jj3QxdWG6gML3yQ3woHMNfmF7vcw2rMZJRG6QrAf/VEK2vqurjjR4ZnX6VorWSYTvpDtpPncX4AMPkD/I3jn4Iwy+Ifgn7NwJ4CFue1SKJLED+pWG4MsycBfg/TVY++8o8Hwy1zyFCHjBoTngtrG7AM8t3q7SHJd51aBqY4rdLO+FLLYPg+y7A3+cvTOrOyKZRPDevl6ffmnuLgze7XcJgT8u6aMW+632frlASNqOb2243zX4I9M2XcpBvUr0JyumQNriDQWX3IjRSj7445DYJI+9vrwma5MOjWLo4Rgp4OMFuAPw0o87H4v9aAU2YRgFCyfcRBS/dTL27R3UH1+UPXZ4P0HxH66ISAC/c3jky4L0z5USLf7WuapRMfjtwcYZQ3yM/PVrUDD4Yx27oxW4kyJRdKa5e3DwiOvXoAT+ri2+Djy+rXO3GtYYV8Ft0tfQUxvixfukM2Sf1pFSC5Gw9vWrkP06zJ079Jm/WyEr+cZIFbaS61cincXfN/WlDXjt5SUcpcIVdvl6ZPuuLp/fHcWfg5EsBf/FDwsvZF2+Isnm9rsHn/sI+6DU/o8PxQeEy1ckvavh3nv68CPOMpVQF/cO3gWr7p268FCzYqn96M00qQjey9cljlLePXlOusax343X7gTyi5M+SU8IvL8Yaz9YH4H8zudZF9vjujfP3/MPsjJzgBTy6m+emRrN+vfk+af6z8MH+l+G4kN8bCJnjti5elZmDhBeirx5ZkqFnlDO0Ntn1ueDj0ntc798V3/o7ZGniN8QLT20vqCrjygWsHMHtUrtILmu/tLc37ynvvlC+Fy6DR7/AKUF387aF7tvbO+glikeIAB/be5/+fny9iecfPgnSlzH/6jHcx/+RGo1hUrp6C8PXsGvFFwDvJ+L7YPt92Qf4KfgFzKsS0Lk37z3blvwkc1b+JiWCbYXumP5ElG7QB4Q+Jn9nHBA8ww/Q/X+y+fotwoPzCU9pmWC7aXuI3DHwaecYw988/7bn37eFnyKrluZm8iDp26dmbDQGK95JuTVgV8e3h3gme5lMoe8+g1nwriEwC8vxSnBobp0daKA7bW5e0pxSGCMX4QZweG6eH1a8Jfw7O5EaTV18fq0Xf3Fs3kpPS3win50wyw9EV29CpUV+eCWOXoiunodeuCHUpSwD/OEXFTpnslfOc9XzptWFvn7bCC30D3Uk7J3DaXcNNQt+cxy30M1KZVh9d2Cz9SdVNOdDvIX1qjOTjXAd6oBvlM9bfBPu3RVetpV87RLV6VRNZ1qgO9UTwL8mOPn626rbER06nSXtTeY1+vuqvBu12gvpnurQkN9sK/V/dWfGkbfQvdVfznrs0NR3VUNAvUBvlp3VIP6mX53lOEE3a4R3089wgasW2eEqmTo0Q8kVd7ZwSuZfq4qo1Ie7kBZ26/OUuatvEoSPLNz8W4Ws8W1X9gfYYo8tTC9ci5UjTFdD/rCwe1ZpDtaFr4UuvQknBWuifRu4UpVGZHu5m+dCyeCxuLA0JR/dAR6tmLoE0tQWQPnSV3mR8dSIJKb/VoiJ+zNSFBUiGbVUa9QG9a8lR0KT80Tz0Uqx8O5I/xFj/W+EnhBego3QVd5hs3LaSiwsTQc5krHYicpFswsrivTlxFXp811bRdpH/ivUFLKfq9QBmz6yRSkH8w7Unl2f23wgGFqBx7iQNgsocdEdcjd6zwIR/fxcqqCZxmqhspqPFaApBl4DLm9s+0ILMvp2HHy+9V0U/Bqt4k6a3Q/r12ZIq2i4yr+huCniz/SFA2q8JIfgrv7tBJFUjuLxwWw79bSoeBj6VsOgsyp7ABXp8WZOQnHTbGnDvNHg3c0lfeDWYEe0X4sj8H53FFTOqfubyrbe+7WSm41plT04lL3rJnAz2ZRYvAKpmvHVPWVlF4/bZf6tIn6nTfOl3IgAiYfLVZZhrugnmUWjcIhmQztoXngC7CXNK+7VVb9VIM/p1oLbL0X3FiHg4cNQ8faE3INcjPYHfNNx4MPDeLNC1JIvUvskw0Vp9RZ2Vquo31IFdNGFc2p3yd0C31TsqnkD5zw4ujcI+bB0vi/V9Mz95yBMXMRV9G15oP7eLf1IQjenQBZ7MeNZ8oaFcvmR8sJ8TBHfvtL3risuKP9XHbWAvKcofrV7SNLYlljmBOaUEhL0B0iX5XaxReCJ9Z2Rv0ivG5/DM4Czlt/uIkOBG/q2vS8Z5dLdFxcOzg5O9dTltEXTuduUdXM4QP77tzOkWTTKARPe1R1hksfL9vSdYQmQWnwk+b6gm5arJslfifyHN4s8BLuobtUtsXnXmzoflS0AjLA378GwE41wHeqAb5TDfCdaoDvVAN8pxrgO9UA36kG+E41wHeqAb5TDfCdaoDvVAN8pxrgO9UA36kG+E41wHeqAb5TDfCdaoDvVAN8pxrgO9UA36kG+E41wHeqAb5TDfCdaoDvVAN8pxrgO9UA36kG+E41wHeqAb5TDfCdaoDvVAN8pxrgO9UA36kG+E41wHeqAb5TDfCdaoDvVAN8pxrgO9UA36kG+E41wHeqAb5TDfCdaoDvVAN8pxrgO9UA36kG+E41wHeqAb5TDfCdaoDvVAN8pxrgO9UA36kG+E41wHeqAb5TDfCdaoDvVAN8pxrgO9UA36kG+E41wHeqAb5TDfCdaoDvVAN8pxrgO9UA36kG+E41wHeqAb5TDfCdaoDvVAN8pxrgO9UA36kG+E41wHeq/wfFLPWTfLALnAAAAABJRU5ErkJggg==)
## -- phytools can be used to create a co-phylogenetic plot in which two
## -- trees are graphed in a facing fashion, with linking lines between
## -- corresponding tips. The following uses data from Lopez-Vaamonde et al.
## -- (2001; MPE).
trees<-read.tree("cophylo.tre")
Pleistodontes<-trees[[1]]
Sycoscapter<-trees[[2]]
assoc<-read.csv("assoc.csv")
obj<-cophylo(Pleistodontes,Sycoscapter,assoc=assoc,
print=TRUE)
## Rotating nodes to optimize matching...
## objective: 359.577777777778
## objective: 359.577777777778
## objective: 359.577777777778
## objective: 359.577777777778
## objective: 359.577777777778
## objective: 359.577777777778
## objective: 359.577777777778
## objective: 359.577777777778
## objective: 359.577777777778
## objective: 359.577777777778
## objective: 359.577777777778
## objective: 359.577777777778
## objective: 357.777777777778
## objective: 357.777777777778
## objective: 345.111111111111
## objective: 345.111111111111
## objective: 345.111111111111
## objective: 322.777777777778
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 322.777777777778
## objective: 322.777777777778
## objective: 322.777777777778
## objective: 322.777777777778
## objective: 322.777777777778
## objective: 322.777777777778
## objective: 322.777777777778
## objective: 322.777777777778
## objective: 322.777777777778
## objective: 322.777777777778
## objective: 322.777777777778
## objective: 322.777777777778
## objective: 322.777777777778
## objective: 322.777777777778
## objective: 322.777777777778
## objective: 322.777777777778
## objective: 322.777777777778
## objective: 322.777777777778
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## objective: 201.17728531856
## Done.
plot(obj,link.type="curved",link.lwd=3,link.lty="solid",
link.col=make.transparent("blue",0.25),fsize=0.8)
![plot of chunk 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)
## -- This method is fairly flexible. For instance, we can use add tip, node,
## -- or edge labels to each tree, or we can us different colors for different
## -- edges.
plot(obj,link.type="curved",link.lwd=3,link.lty="solid",
link.col="grey",fsize=0.8)
nodelabels.cophylo(which="left",frame="circle",cex=0.8)
nodelabels.cophylo(which="right",frame="circle",cex=0.8)
![plot of chunk 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)
left<-rep("black",nrow(obj$trees[[1]]$edge))
nodes<-getDescendants(obj$trees[[1]],30)
left[sapply(nodes,function(x,y) which(y==x),y=obj$trees[[1]]$edge[,2])]<-
"blue"
right<-rep("black",nrow(obj$trees[[2]]$edge))
nodes<-getDescendants(obj$trees[[2]],25)
right[sapply(nodes,function(x,y) which(y==x),y=obj$trees[[2]]$edge[,2])]<-
"blue"
edge.col<-list(left=left,right=right)
plot(obj,link.type="curved",link.lwd=3,link.lty="solid",
link.col=make.transparent("blue",0.25),fsize=0.8,
edge.col=edge.col)
![plot of chunk 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)
## -- phytools contains a method for plotting a posterior sample of trees from
## -- Bayesian analysis. This is more or less equivalent to the stand-alone
## -- program densiTree. Here's a demo:
trees<-read.tree("density.tre")
densityTree(trees,type="cladogram",nodes="intermediate")
![plot of chunk 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)
## -- We can also just represent topological incongruence among trees:
densityTree(trees,use.edge.length=FALSE,type="phylogram",nodes="inner")
![plot of chunk 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)
## -- If we want to just compare two alternative time trees for the same set
## -- of taxa, we could try compare.chronograms. Here is a demo with simulated
## -- trees.
tree<-rtree(n=26,tip.label=LETTERS)
t1<-force.ultrametric(tree,"nnls")
tree$edge.length<-runif(n=nrow(tree$edge))
t2<-force.ultrametric(tree,"nnls")
compare.chronograms(t1,t2)
![plot of chunk 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)
## -- phytools has an interactive node labeling method. Here's a demo using a
## -- phylogeny of vertebrates (in non-interactive mode)
vertebrates<-read.tree("vertebrates.tre")
plotTree(vertebrates,xlim=c(-24,450))
labels<-c("Cartilaginous fish",
"Ray-finned fish",
"Lobe-finned fish",
"Anurans",
"Reptiles (& birds)",
"Birds",
"Mammals",
"Eutherians")
nodes<-labelnodes(text=labels,node=c(24,27,29,32,34,35,37,40),
shape="ellipse",cex=0.8,interactive=FALSE)
![plot of chunk 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)
## -- Another method in phytools allows us to easily label only a subset of tips
## -- in the tree. This can be handy for very large trees in which we are only
## -- interested in labeling a handful of taxa.
plot(anoletree,cols,xlim=c(0,9),ylim=c(-4,Ntip(anoletree)),ftype="off")
add.simmap.legend(colors=cols,prompt=FALSE,x=0,y=-4,vertical=FALSE)
text<-sample(anoletree$tip.label,20)
tips<-sapply(text,function(x,y) which(y==x),y=anoletree$tip.label)
linklabels(text,tips,link.type="curved")
![plot of chunk 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)
## -- Here is a recent method for adding circular clade labels to a
## -- plotted fan style tree.
obj<-setMap(contMap(anole.tree,svl,plot=FALSE),invert=TRUE)
plot(obj,type="fan",ftype="off",lwd=c(2,6),outline=FALSE,xlim=c(-1.3,1.3),
legend=0.8,leg.txt="log(SVL)")
nodes<-c(105,117,122,135,165,169,68,172,176,183,184)
labels<-paste("Clade",LETTERS[1:length(nodes)])
for(i in 1:length(nodes))
arc.cladelabels(tree=obj$tree,labels[i],nodes[i],
orientation=if(labels[i]%in%c("Clade G","Clade J"))
"horizontal" else "curved",mark.node=FALSE)
![plot of chunk unnamed-chunk-25](data:image/png;base64,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)
## -- Finally, the following is a method to add a geological timescale to a plotted
## -- tree.
tree<-pbtree(b=0.03,d=0.01,n=200)
h<-max(nodeHeights(tree))
plotTree(tree,plot=FALSE)
obj<-geo.legend(alpha=0.3,cex=1.2,plot=FALSE)
obj$leg<-h-obj$leg
plotTree(tree,ftype="off",ylim=c(-0.2*Ntip(tree),Ntip(tree)),lwd=1)
geo.legend(leg=obj$leg,colors=obj$colors,cex=1.2)
![plot of chunk 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)
That's it!