GEOG5839.15, signal processing

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GEOG5839.15, signal processing

  1. 1. October 18 30 the ‘detrended’ ring-widthSignal processing IThe linear aggregate model of tree growth index
  2. 2. DOWNLOAD THESE DATA Cat Mesa (NM556) Fenton Lake (NM550)Abouselman Spring (NM555) Rito de los Frijoles (NM501) Baca (NM558) Los Alamos New Mexico (NM046)
  3. 3. h p://www.ldeo.columbia.edu/tree-ring-laboratory/resources/so ware
  4. 4. TREE-RING WIDTH DATApith bark
  5. 5. THE PRINCIPLE OF AGGREGATE TREE GROWTHRt = At + Ct + δD1t + δD2t + Et
  6. 6. THE PRINCIPLE OF AGGREGATE TREE GROWTHRt = At + Ct + δD1t + δD2t + Et size-related growth trend caused by physiological aging
  7. 7. Atdoes not have a universal or predictable shape.
  8. 8. STANDARDIZATION
  9. 9. the ‘detrended’ ring-width index
  10. 10. ARSTAN autoregressive standardization
  11. 11. PROGRAM ARSTAN PRODUCES CHRONOLOGIES FROM TREE-RING MEASUREMENT SERIESBY DETRENDING AND INDEXING (STANDARDIZING) THE SERIES, THEN APPLYING A ROBUST ESTIMATIONOF THE MEAN VALUE FUNCTION TO REMOVE EFFECTS OF ENDOGENOUS STAND DISTURBANCES.
  12. 12. DIVIDE(A) the raw ring-width databy (B) the ‘detrending’ curve
  13. 13. ARSTAN OUTPUT
  14. 14. CHRONOLOGY
  15. 15. EXERCISE Use several different detrending methodsto standardize our set of ring-width chronologies and let’s see what happens!
  16. 16. STANDARDIZE THESE DATA Cat Mesa (NM556) Fenton Lake (NM550)Abouselman Spring (NM555) Rito de los Frijoles (NM501) Baca (NM558) Los Alamos New Mexico (NM046)
  17. 17. USE FOUR DIFFERENT APPROACHES TO STANDARDIZATION Horizontal line Negative exponential curve 20-yr flexible splineFlexible spline set to 67% of series length
  18. 18. GEOG5839 XT C L AS S NE WHO WILL FIND THE FIRST “DIRTY DOG”?Source: Terry Bain

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