Top panel: field value χ sampled from a single lattice point as a function of redshift z in model I. χ is the instantaneous field value χ averaged over the interval ±dτ/2, where dτ is either 1.6 or 4.7 Mpc h⁻¹, as indicated in the legend. Bottom panel: difference between the field values and the field smoothed over 4.7 Mpc h⁻¹. Blue shows the difference for the field value sampled at a 0.4 Mpc h⁻¹ rate, and orange shows the difference for the field value averaged over ±1.6 Mpc h⁻¹.