X1 ¼ X À TREE X1
ð
Þ
à COS WIND ANGLE
ð
Þ
þ Y À TREE Y1
ð
Þ
à SIN WIND ANGLE
ð
Þ
ð 28:4Þ
Y1 ¼ Y À TREE Y1
ð
Þ
à COS WIND ANGLE
ð
Þ
À X À TREE X1
ð
Þ
à SIN WIND ANGLE
ð
Þ
ð 28:5Þ
X1 is measured parallel to wind, Y1 perpendicular to X1.
To determine troop movement, we need to further specify variables for fruit
ripeness, tree height, and wind speed and direction. The concentration of the odors
caused by each tree is calculated separately (CONC 1 and CONC 2). The basis for
this calculation is the air pollution stack emission equations. These are empirically
derived equations which give the dispersion of a pollutant such as sulfur dioxide
emitted from a chimney, depending on the chimney height, the wind speed, and
emission rate. The variables which begin with SIG. . ., X1, X2, Y1, Y2, RY, and RZ
are the elements of these equations. The vertical emission velocity is set at zero.
The corresponding part of the model is shown in Fig. 28.3.
The behavioral part of the model is shown in Fig. 28.4. First we add the odor
concentrations from the two trees to form the total concentration at the troop
location, CONCENTRATION. The problem here is to calculate the direction that
optimally points up the odor “mountain,” the direction of maximum odor increase.
Fig. 28.3
232
28 Monkey Travels
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