Below we demonstrate how to extract evolutionary rate summary
statistics from each node from a Bayesian clock (time-calibrate) summary
tree produced by Mr. Bayes, store them in a data frame, produce summary
tables, and plots.
1. Import combined log file from all runs.
This is produced by using combine_log()
.The first
argument passed to combine_log()
should be a path to the
folder containing the log files to be imported and combined.
## Import all log (.p) files from all runs and combine them, with burn-in = 25%
## and downsampling to 2.5k trees in each log file
posterior3p <- combine_log("LogFiles3p", burnin = 0.25, downsample = 1000)
Below, we use the posterior dataset posterior3p
that
accompanies EvoPhylo
.
data(posterior3p)
## Show first 5 lines of combined log file
head(posterior3p, 5)
The posterior data must first be transformed from wide to long to be
used with the functions described below; FBD_reshape()
accomplishes this.
## Reshape imported combined log file from wide to long with FBD_reshape
posterior3p_long <- FBD_reshape(posterior3p, variables = NULL, log.type = "MrBayes")
2. Summarize FBD parameters by time bin
Summary statistics for each FBD parameter by time bin can be quickly
summarized using FBD_summary()
:
## Summarize parameters by time bin and analysis
t3.1 <- FBD_summary(posterior3p_long)
t3.1
FBD parameters by time bin
parameter
|
Time_bin
|
n
|
mean
|
sd
|
min
|
Q1
|
median
|
Q3
|
max
|
net_speciation
|
1
|
10000
|
0.04
|
0.02
|
0.00
|
0.03
|
0.04
|
0.06
|
0.17
|
net_speciation
|
2
|
10000
|
0.03
|
0.02
|
0.00
|
0.02
|
0.03
|
0.04
|
0.12
|
net_speciation
|
3
|
10000
|
0.02
|
0.01
|
0.00
|
0.01
|
0.02
|
0.03
|
0.12
|
net_speciation
|
4
|
10000
|
0.05
|
0.02
|
0.00
|
0.03
|
0.05
|
0.06
|
0.12
|
relative_extinction
|
1
|
10000
|
0.79
|
0.15
|
0.08
|
0.71
|
0.82
|
0.90
|
1.00
|
relative_extinction
|
2
|
10000
|
0.93
|
0.05
|
0.55
|
0.90
|
0.93
|
0.96
|
1.00
|
relative_extinction
|
3
|
10000
|
0.95
|
0.05
|
0.18
|
0.93
|
0.96
|
0.98
|
1.00
|
relative_extinction
|
4
|
10000
|
0.03
|
0.10
|
0.00
|
0.00
|
0.00
|
0.01
|
0.97
|
relative_fossilization
|
1
|
10000
|
0.04
|
0.05
|
0.00
|
0.01
|
0.02
|
0.05
|
0.72
|
relative_fossilization
|
2
|
10000
|
0.07
|
0.04
|
0.00
|
0.04
|
0.06
|
0.09
|
0.36
|
relative_fossilization
|
3
|
10000
|
0.01
|
0.02
|
0.00
|
0.00
|
0.01
|
0.02
|
0.54
|
relative_fossilization
|
4
|
10000
|
0.04
|
0.11
|
0.00
|
0.00
|
0.00
|
0.02
|
0.99
|
## Export the table
write.csv(t3.1, file = "FBD_summary.csv")
3. Plot the distribution of each FBD parameter
Each of (or all) the FBD parameter distributions can be plotted by
time bin using various plotting alternatives with
FBD_dens_plot()
:
## Plot distribution of the desired FBD parameter by time bin with
## kernel density plot
FBD_dens_plot(posterior3p_long, parameter = "net_speciation",
type = "density", stack = FALSE)
![](data:image/png;base64,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)
## Plot distribution of the desired FBD parameter by time bin with
## stacked kernel density plot
FBD_dens_plot(posterior3p_long, parameter = "net_speciation",
type = "density", stack = TRUE)
![](data:image/png;base64,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)
## Plot distribution of the desired FBD parameter by time bin with
## a violin plot
FBD_dens_plot(posterior3p_long, parameter = "net_speciation",
type = "violin", stack = FALSE, color = "red")
![](data:image/png;base64,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)
## Plot distribution of all FBD parameter by time bin with a violin plot
p1 <- FBD_dens_plot(posterior3p_long, parameter = "net_speciation",
type = "violin", stack = FALSE, color = "red")
p2 <- FBD_dens_plot(posterior3p_long, parameter = "relative_extinction",
type = "violin", stack = FALSE, color = "cyan3")
p3 <- FBD_dens_plot(posterior3p_long, parameter = "relative_fossilization",
type = "violin", stack = FALSE, color = "green3")
library(patchwork)
p1 + p2 + p3 + plot_layout(nrow = 1)
![](data:image/png;base64,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)
## Save your plot to your working directory as a PDF
ggplot2::ggsave("Plot_regs.pdf", width = 12, height = 4)
4. Test for assumptions
In this step, users can perform tests for normality and
homoscedasticity in data distribution for each of the FBD parameters
under consideration. The output will determine whether parametric or
nonparametric tests will be performed subsequently.
##### Tests for normality and homoscedasticity for each FBD parameter for all time bins
t3.2 <- FBD_tests1(posterior3p_long)
### Export the output table for all tests
write.csv(t3.2, file = "FBD_Tests1_Assum.csv")
The results of the Shapiro-Wilk normality test for each parameter can
be output as seperate tables or as a single combined table.
# Output as separate tables
t3.2$shapiro
Shapiro-Wilk normality test
|
parameter
|
statistic
|
p-value
|
Time bin 1
|
net_speciation
|
0.9917
|
0
|
Time bin 2
|
net_speciation
|
0.9385
|
0
|
Time bin 3
|
net_speciation
|
0.9227
|
0
|
Time bin 4
|
net_speciation
|
0.9898
|
0
|
Overall
|
net_speciation
|
0.9568
|
0
|
Residuals
|
net_speciation
|
0.9874
|
0
|
|
|
parameter
|
statistic
|
p-value
|
Time bin 1
|
relative_extinction
|
0.8927
|
0
|
Time bin 2
|
relative_extinction
|
0.9247
|
0
|
Time bin 3
|
relative_extinction
|
0.8044
|
0
|
Time bin 4
|
relative_extinction
|
0.3775
|
0
|
Overall
|
relative_extinction
|
0.7036
|
0
|
Residuals
|
relative_extinction
|
0.8238
|
0
|
|
|
parameter
|
statistic
|
p-value
|
Time bin 1
|
relative_fossilization
|
0.5764
|
0
|
Time bin 2
|
relative_fossilization
|
0.8853
|
0
|
Time bin 3
|
relative_fossilization
|
0.6210
|
0
|
Time bin 4
|
relative_fossilization
|
0.4637
|
0
|
Overall
|
relative_fossilization
|
0.5473
|
0
|
Residuals
|
relative_fossilization
|
0.5531
|
0
|
|
# OR as single merged table
t3.2$shapiro$net_speciation$bin <- row.names(t3.2$shapiro$net_speciation)
t3.2$shapiro$relative_extinction$bin <- row.names(t3.2$shapiro$relative_extinction)
t3.2$shapiro$relative_fossilization$bin <- row.names(t3.2$shapiro$relative_fossilization)
k1all <- rbind(t3.2$shapiro$net_speciation,
t3.2$shapiro$relative_extinction,
t3.2$shapiro$relative_fossilization,
make.row.names = FALSE)
Shapiro-Wilk normality test
parameter
|
statistic
|
p-value
|
bin
|
net_speciation
|
0.9917
|
0
|
Time bin 1
|
net_speciation
|
0.9385
|
0
|
Time bin 2
|
net_speciation
|
0.9227
|
0
|
Time bin 3
|
net_speciation
|
0.9898
|
0
|
Time bin 4
|
net_speciation
|
0.9568
|
0
|
Overall
|
net_speciation
|
0.9874
|
0
|
Residuals
|
relative_extinction
|
0.8927
|
0
|
Time bin 1
|
relative_extinction
|
0.9247
|
0
|
Time bin 2
|
relative_extinction
|
0.8044
|
0
|
Time bin 3
|
relative_extinction
|
0.3775
|
0
|
Time bin 4
|
relative_extinction
|
0.7036
|
0
|
Overall
|
relative_extinction
|
0.8238
|
0
|
Residuals
|
relative_fossilization
|
0.5764
|
0
|
Time bin 1
|
relative_fossilization
|
0.8853
|
0
|
Time bin 2
|
relative_fossilization
|
0.6210
|
0
|
Time bin 3
|
relative_fossilization
|
0.4637
|
0
|
Time bin 4
|
relative_fossilization
|
0.5473
|
0
|
Overall
|
relative_fossilization
|
0.5531
|
0
|
Residuals
|
## Bartlett's test for homogeneity of variance
t3.2$bartlett
Bartlett’s test
parameter
|
statistic
|
p-value
|
net_speciation
|
3815.464
|
0
|
relative_extinction
|
18159.213
|
0
|
relative_fossilization
|
25654.975
|
0
|
## Fligner-Killeen test for homogeneity of variance
t3.2$fligner
Fligner-Killeen test
parameter
|
statistic
|
p-value
|
net_speciation
|
3748.140
|
0
|
relative_extinction
|
12599.843
|
0
|
relative_fossilization
|
4808.545
|
0
|
Deviations from normality can be displayed graphically using
FBD_normality_plot()
:
## Visualize deviations from normality and similarity of variances
FBD_normality_plot(posterior3p_long)
![](data:image/png;base64,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)
## Save your plot to your working directory as a PDF
ggplot2::ggsave("Plot_normTests.pdf", width = 8, height = 6)
5. Test for significant FBD shifts between time bins
Significant shifts in FBD parameters across time bins can be easily
tested using parametric (Student’s t-test) and nonparametric
(Mann-Whitney test) pairwise comparisons with FBD_tests2()
.
Both are automatically calculated and the preferred pairwise comparison
will be chosen by the user depending on the results of the assumption
tests step #4 (above).
##### Test for significant differences between each time bin for each FBD parameter
t3.3 <- FBD_tests2(posterior3p_long)
### Export the output table for all tests
write.csv(t3.3, file = "FBD_Tests2_Sign.csv")
## Pairwise t-tests
# Output as separate tables
t3.3$t_tests
Significant tests
parameter
|
Time_bin1
|
Time_bin2
|
n1
|
n2
|
p-value
|
p-value adj
|
net_speciation
|
1
|
2
|
10000
|
10000
|
0
|
0
|
net_speciation
|
1
|
3
|
10000
|
10000
|
0
|
0
|
net_speciation
|
1
|
4
|
10000
|
10000
|
0
|
0
|
net_speciation
|
2
|
3
|
10000
|
10000
|
0
|
0
|
net_speciation
|
2
|
4
|
10000
|
10000
|
0
|
0
|
net_speciation
|
3
|
4
|
10000
|
10000
|
0
|
0
|
|
parameter
|
Time_bin1
|
Time_bin2
|
n1
|
n2
|
p-value
|
p-value adj
|
relative_extinction
|
1
|
2
|
10000
|
10000
|
0
|
0
|
relative_extinction
|
1
|
3
|
10000
|
10000
|
0
|
0
|
relative_extinction
|
1
|
4
|
10000
|
10000
|
0
|
0
|
relative_extinction
|
2
|
3
|
10000
|
10000
|
0
|
0
|
relative_extinction
|
2
|
4
|
10000
|
10000
|
0
|
0
|
relative_extinction
|
3
|
4
|
10000
|
10000
|
0
|
0
|
|
parameter
|
Time_bin1
|
Time_bin2
|
n1
|
n2
|
p-value
|
p-value adj
|
relative_fossilization
|
1
|
2
|
10000
|
10000
|
0
|
0
|
relative_fossilization
|
1
|
3
|
10000
|
10000
|
0
|
0
|
relative_fossilization
|
1
|
4
|
10000
|
10000
|
0
|
0
|
relative_fossilization
|
2
|
3
|
10000
|
10000
|
0
|
0
|
relative_fossilization
|
2
|
4
|
10000
|
10000
|
0
|
0
|
relative_fossilization
|
3
|
4
|
10000
|
10000
|
0
|
0
|
|
# OR as single merged table
k3.3a <- rbind(t3.3$t_tests$net_speciation,
t3.3$t_tests$relative_extinction,
t3.3$t_tests$relative_fossilization,
make.row.names = FALSE)
Pairwise t-tests
parameter
|
Time_bin1
|
Time_bin2
|
n1
|
n2
|
p-value
|
p-value adj
|
net_speciation
|
1
|
2
|
10000
|
10000
|
0
|
0
|
net_speciation
|
1
|
3
|
10000
|
10000
|
0
|
0
|
net_speciation
|
1
|
4
|
10000
|
10000
|
0
|
0
|
net_speciation
|
2
|
3
|
10000
|
10000
|
0
|
0
|
net_speciation
|
2
|
4
|
10000
|
10000
|
0
|
0
|
net_speciation
|
3
|
4
|
10000
|
10000
|
0
|
0
|
relative_extinction
|
1
|
2
|
10000
|
10000
|
0
|
0
|
relative_extinction
|
1
|
3
|
10000
|
10000
|
0
|
0
|
relative_extinction
|
1
|
4
|
10000
|
10000
|
0
|
0
|
relative_extinction
|
2
|
3
|
10000
|
10000
|
0
|
0
|
relative_extinction
|
2
|
4
|
10000
|
10000
|
0
|
0
|
relative_extinction
|
3
|
4
|
10000
|
10000
|
0
|
0
|
relative_fossilization
|
1
|
2
|
10000
|
10000
|
0
|
0
|
relative_fossilization
|
1
|
3
|
10000
|
10000
|
0
|
0
|
relative_fossilization
|
1
|
4
|
10000
|
10000
|
0
|
0
|
relative_fossilization
|
2
|
3
|
10000
|
10000
|
0
|
0
|
relative_fossilization
|
2
|
4
|
10000
|
10000
|
0
|
0
|
relative_fossilization
|
3
|
4
|
10000
|
10000
|
0
|
0
|
## Mann-Whitney tests (use if Tests in step #4 fail assumptions)
# Output as separate tables
t3.3$mwu_tests
Mann-Whitney tests
parameter
|
Time_bin1
|
Time_bin2
|
n1
|
n2
|
p-value
|
p-value adj
|
net_speciation
|
1
|
2
|
10000
|
10000
|
0
|
0
|
net_speciation
|
1
|
3
|
10000
|
10000
|
0
|
0
|
net_speciation
|
1
|
4
|
10000
|
10000
|
0
|
0
|
net_speciation
|
2
|
3
|
10000
|
10000
|
0
|
0
|
net_speciation
|
2
|
4
|
10000
|
10000
|
0
|
0
|
net_speciation
|
3
|
4
|
10000
|
10000
|
0
|
0
|
|
parameter
|
Time_bin1
|
Time_bin2
|
n1
|
n2
|
p-value
|
p-value adj
|
relative_extinction
|
1
|
2
|
10000
|
10000
|
0
|
0
|
relative_extinction
|
1
|
3
|
10000
|
10000
|
0
|
0
|
relative_extinction
|
1
|
4
|
10000
|
10000
|
0
|
0
|
relative_extinction
|
2
|
3
|
10000
|
10000
|
0
|
0
|
relative_extinction
|
2
|
4
|
10000
|
10000
|
0
|
0
|
relative_extinction
|
3
|
4
|
10000
|
10000
|
0
|
0
|
|
parameter
|
Time_bin1
|
Time_bin2
|
n1
|
n2
|
p-value
|
p-value adj
|
relative_fossilization
|
1
|
2
|
10000
|
10000
|
0
|
0
|
relative_fossilization
|
1
|
3
|
10000
|
10000
|
0
|
0
|
relative_fossilization
|
1
|
4
|
10000
|
10000
|
0
|
0
|
relative_fossilization
|
2
|
3
|
10000
|
10000
|
0
|
0
|
relative_fossilization
|
2
|
4
|
10000
|
10000
|
0
|
0
|
relative_fossilization
|
3
|
4
|
10000
|
10000
|
0
|
0
|
|
# OR as single merged table
k3.3b <- rbind(t3.3$mwu_tests$net_speciation,
t3.3$mwu_tests$relative_extinction,
t3.3$mwu_tests$relative_fossilization,
make.row.names = FALSE)
Mann-Whitney tests
parameter
|
Time_bin1
|
Time_bin2
|
n1
|
n2
|
p-value
|
p-value adj
|
net_speciation
|
1
|
2
|
10000
|
10000
|
0
|
0
|
net_speciation
|
1
|
3
|
10000
|
10000
|
0
|
0
|
net_speciation
|
1
|
4
|
10000
|
10000
|
0
|
0
|
net_speciation
|
2
|
3
|
10000
|
10000
|
0
|
0
|
net_speciation
|
2
|
4
|
10000
|
10000
|
0
|
0
|
net_speciation
|
3
|
4
|
10000
|
10000
|
0
|
0
|
relative_extinction
|
1
|
2
|
10000
|
10000
|
0
|
0
|
relative_extinction
|
1
|
3
|
10000
|
10000
|
0
|
0
|
relative_extinction
|
1
|
4
|
10000
|
10000
|
0
|
0
|
relative_extinction
|
2
|
3
|
10000
|
10000
|
0
|
0
|
relative_extinction
|
2
|
4
|
10000
|
10000
|
0
|
0
|
relative_extinction
|
3
|
4
|
10000
|
10000
|
0
|
0
|
relative_fossilization
|
1
|
2
|
10000
|
10000
|
0
|
0
|
relative_fossilization
|
1
|
3
|
10000
|
10000
|
0
|
0
|
relative_fossilization
|
1
|
4
|
10000
|
10000
|
0
|
0
|
relative_fossilization
|
2
|
3
|
10000
|
10000
|
0
|
0
|
relative_fossilization
|
2
|
4
|
10000
|
10000
|
0
|
0
|
relative_fossilization
|
3
|
4
|
10000
|
10000
|
0
|
0
|