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Don & Zen, graphic analysis
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Posted 3/16/2016 07:34 (#5179320)
Subject: Don & Zen, graphic analysis



Death comes to us all. Life's but a walking shadow

Don, thanks for pointing out how important growing season temperature will be this coming year. And Zen, thank you for providing the data about temperature and precipitation anomalies. As I suspected it is a little easier to see how temperature and precipitation interact to influence yield when you look on a state level.
As seen in chart 4, temperature anomaly accounted for 56% of the yield variation. Similarly, taken alone precipitation anomaly accounts some 26% of the yield variation (not shown) but that's a little deceptive. If you look at the scatter plot what you see is that yield deviations are not so sensitive to moisture in a fairly wide range of values between - 1 inch and +4 inches. But too little rain or too much starts to depress yields so a polynomial is probably a better model (chart 3). The timing of the rain is probably really important as well but I was able to check that.
If you run a multiple regression analysis using temperature anomaly and a quadratic precipitation anomaly model then together they account for 71% of the yield deviation. A 3-D plot of yield deviation vs temperature anomaly and precipitation anomaly suggests how temperature and precipitation interact to influence yield (chart 1, note: the temperature & precipation numbers have been multiplied by ten in order to scale the graph). It's obvious that "Hot & Dry" is bad, "Cool & Wet" is Ok but cool & enough is better. The "Goldylocks" principle, namely "Just Right" applies.
The really important observation here (and one that I didn't fully appreciate) is "Just how critical growing season temperature will be in the coming months, irrespective of how much rainfall we receive!"  Thanks again, Don.





(chart 4-page-001.jpg)



(chart 3-page-001.jpg)



(chart 2-page-001.jpg)



(chart 1-page-001.jpg)



Attachments
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Attachments chart 4-page-001.jpg (43KB - 73 downloads)
Attachments chart 3-page-001.jpg (38KB - 79 downloads)
Attachments chart 2-page-001.jpg (54KB - 82 downloads)
Attachments chart 1-page-001.jpg (54KB - 82 downloads)
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