The mean trajectory gives a representative idea of the plate motion, but all the trajectory must be plotted to take into account the stochastic nature of the motion.

The mean trajectory of the center of gravity is also plotted with the corresponding confidence interval.

Under the optimal control framework as we set up here and [alpha] > 1/2, the optimal

mean trajectory is a straight line.

Five attempts were run (reported as the dashed red lines), and the mean trajectory (strong-red line) is depicted in Figure 7(a), while Figure 7(b) shows the speed of the target robot over its trajectory.

Five attempts were run (reported as the dashed red lines), and the mean trajectory (strong red line) is also depicted in Figure 10(a).

where [Y.sub.ij] is the production of eggs in the ith period, by the [[beta].sub.m] hen; Pm are the regression coefficients used to model the mean trajectory of the population; [[phi].sub.m]([t.sub.i]) is the regression function of order [k.sub.b] that describes the mean population curve according to the age at production ([t.sub.i]); [[phi].sub.m]([t.sub.ij]) is the regression function that describes the trajectory of each hen j according to its age in months ([t.sub.i]) for random genotypic effects; [[alpha].sub.jm] are the genotypic random regressors for each hen; [k.sub.b] and [k.sub.a] are the orders of the polynomials used for the purposes described above; and [E.sub.ij] the random error associated with the age (i) of a particular hen (j).

Initially, the second and third order polynomial models were tested to estimate the mean trajectory of the population (fixed curve).

The foehn warming is the temperature change induced by the orographic disturbance, defined as [[DELTA].sup.F]T [approximately equal to] [T.sub.C] - [T.sub.A], where [T.sub.C] is the

mean trajectory temperature at C and [T.sub.A] is the mean temperature at A (at the time the trajectories pass B).

We calculated the

mean trajectory of the COM of the forearm along the mediolateral and craniocaudal axis for each LOD.

For the

mean trajectory, after careful consideration, we chose the middle projection of the Social Security Actuary, with an ultimate total fertility rate (TFR) of 1.95 births per woman, which we believe reasonable.

Those values were used to generate a

mean trajectory of lobe flattening for P.

For evolution to occur, there must be phenotypic variation in the population's growth trajectories for selection to act on, and part of this variation must be heritable for the effect of selection (change in

mean trajectory) to be passed on to the next generation.