The left chart shows the correlation rho of tau versus lag tau in metres. The theoretical curve decreases smoothly to near 0, while the observed curve fluctuates around zero with small oscillations. The right chart shows the variance V of tau versus lag tau. The theoretical curve rises quickly and stabilises near 25, while the observed curve varies widely between about 10 and 45, with peaks around 16 to 18 before dropping near 0 at high lag.
Comparison of curves between simulated data and theoretical function along estimated of using (a) autocovariance function fitting and (b) semivariogram method