Database Reference
In-Depth Information
BETA
X
ALPHA
Fig. 14.1
1: BETA v. X
2.00
X
0.00
-2.00
-
8.00
0.00
8.00
BETA
Fig. 14.2
X
=
TIME—2
,
(14.2)
then run the model.
For positive ALPHA, the cusp or fold appears in the X vs. BETA plot. For
ALPHA = 0 and negative ALPHA, the “S” curve appears. The cases for nega-
tive, zero and positive values of ALPHA are shown in Figures 14.2 to 14.4, re-
spectively. For illustration, we chose ALPHA =
−
3 in Figure 14.2 and ALPHA =
+
3 in Figure 14.4.
BASIC CATASTROPHE MODEL
ALPHA
=
−
3
X
∧
3—ALPHA * X
BETA
=
X
=
TIME—2
