# Simulate the Jukes-Cantor model of nucleotide replacement
K <- 4
PJK <- matrix(1 / 3, nrow = K, ncol = K) - diag(rep(1 / 3, K))
lambda_PJK <- c(1, 1, 1, 1)
d_JK <- generate_Markov(n = 10, K = K, P = PJK, lambda = lambda_PJK, Tmax = 10)
nJump <- compute_number_jumps(d_JK)
hist(nJump)
# modify the plot using ggplot2
library(ggplot2)
hist(nJump, fill = "#984EA3") +
labs(title = "Distribution of the number of jumps")
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