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