GEOG5839.15, signal processing
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Transcript of GEOG5839.15, signal processing
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the ‘detrended’ring-width
index
October 18
The linear aggregate model of tree growthOctober 30
Signal processing I
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Cat Mesa (NM556)
Abouselman Spring (NM555)
Baca (NM558)
Fenton Lake (NM550)
Rito de los Frijoles (NM501)
Los Alamos New Mexico (NM046)
DOWNLOAD THESE DATA
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h!p://www.ldeo.columbia.edu/tree-ring-laboratory/resources/so"ware
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TREE-RING WIDTH DATApith
bark
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Rt = At + Ct + δD1t + δD2t + Et
THE PRINCIPLE OF AGGREGATE TREE GROWTH
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Rt = At + Ct + δD1t + δD2t + Et
size-related growth trendcaused by physiological aging
THE PRINCIPLE OF AGGREGATE TREE GROWTH
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Atdoes not have a universal or predictable shape.
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STANDARDIZATION
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the ‘detrended’ring-width
index
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ARSTANautoregressivestandardization
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PROGRAM ARSTAN
PRODUCES CHRONOLOGIESFROM TREE-RING MEASUREMENT SERIES
BY DETRENDING AND INDEXING (STANDARDIZING) THE SERIES,
THEN APPLYING
A ROBUST ESTIMATION OF THE MEAN VALUE FUNCTION
TO REMOVE EFFECTS OFENDOGENOUS STAND DISTURBANCES.
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DIVIDE(A) the raw ring-width databy (B) the ‘detrending’ curve
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ARSTAN OUTPUT
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CHRONOLOGY
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Use several di#erent detrending methods to standardize our set of ring-width chronologies
EXERCISEand let’s see what happens!
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Cat Mesa (NM556)
Abouselman Spring (NM555)
Baca (NM558)
Fenton Lake (NM550)
Rito de los Frijoles (NM501)
Los Alamos New Mexico (NM046)
STANDARDIZE THESE DATA
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Horizontal line
Negative exponential curve
20-yr flexible spline
Flexible spline set to 67% of series length
USE FOUR DIFFERENT APPROACHES TO STANDARDIZATION
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Source: Terry Bain
WHO WILL FIND THE FIRST
“DIRTY DOG”?
GEOG5839NEXT CLASS