require(wrightscape)
require(ggplot2)
require(reshape2)
require(grid)
Plotting function
plot.path_sim <- function(x, ...) ggplot(x) + geom_line(aes(time,
value, group = rep), alpha = 0.05)
Simulations
reps <- 500
X <- bm_path_sim(reps = reps)
Y <- ou_path_sim(reps = reps, alpha = 6)
Z <- release_path_sim(reps = reps, alpha = 6, release_frac = 0.7)
W <- brownie_path_sim(reps = reps, sigma = sqrt(1/0.7)/sqrt(2 * 6),
sigma2 = 1, release_frac = 0.7) # has 1/release_frac time = 2
Create the plots
px <- plot.path_sim(X) + opts(title = "Brownian Motion") + coord_cartesian(ylim = c(-2,
2))
py <- plot.path_sim(Y) + opts(title = "Ornstein-Uhlenbeck") + coord_cartesian(ylim = c(-2,
2))
pz <- plot.path_sim(Z) + opts(title = "Release of Constraint") +
coord_cartesian(ylim = c(-2, 2))
pw <- plot.path_sim(W) + opts(title = "Accelerated Evolution") +
coord_cartesian(ylim = c(-2, 2))
pushViewport(viewport(layout = grid.layout(2, 2)))
vplayout <- function(x, y) viewport(layout.pos.row = x, layout.pos.col = y)
print(px, vp = vplayout(1, 1))
print(py, vp = vplayout(1, 2))
print(pw, vp = vplayout(2, 1))
print(pz, vp = vplayout(2, 2))
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