Driven IFS and Data Analysis

Effects of Lag Time - Backward Z

As the lag time increases to a week, the familiar backwards Z pattern appears, suggesting that most movement occurs between consecutive bins.
A second feature of the week lag plots is the concentration of points in the 1 corner and in the 4 corner. Thornton speculates the presence of many consecutive weekly changes of more than one standard deviation may result from the effects of day-to-day corrections making consecutive large positive or negative daily changes unlikely.
The final observation is the middle crossing of the backward Z. Looking at the addresses of the regions occupied middle cross, we see the green part of the middle cross could come from either
applying T1 to points in the red part of the line between corners 3 and 4, or
applying T3 to points in the blue part of the line between corners 1 and 2.
Because square 14 contains few points, the second choice is more strongly indicated.
The blue points are generated by all combinations of T1 and T2, with the last being T2. With this longer lag time, these combinations can be followed by T3.

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