DECADAL VARIABILITY
IN TREE-RING RECORDS
SCOTT ST. GEORGE | UNIVERSITY OF MINNESOTA
Source: Laura Anne Heller
Decadal variability in tree rings
Decadal-To-Multidecadal Variability In The Earth’s Climate
Viewed Through The Lens Of Ancient Trees
University of Minnesota
Johannes Gutenberg-Universität Mainz
Helmholtz-Zentrum Geesthacht
?WHY DO TREE-RING WIDTHS
EXHIBIT SO MUCH VARIANCE
ON DECADAL AND MULTIDECADAL TIMESCALES?
Decadal variability in tree rings
BIOLOGY
Decadal variability in tree rings
WE FOUND
PERVASIVE AND SUBSTANTIAL
“LEGACY EFFECTS”
OF REDUCED GROWTH AND INCOMPLETE RECOVERY
FOR 1 TO 4 YEARS
AFTER SEVERE DROUGHT.
“ ”
Anderegg et al., 2015
Science
Decadal variability in tree rings
THESE LARGE VALUES
OF SERIAL CORRELATION SUGGEST THAT
THE NON-RANDOMNESS
OF TREE-RING SEQUENCES
IS DUE TO THE STORAGE OF FOOD PRODUCTS IN THE TREE
RATHER THAN THE YEAR TO YEAR VARIATIONS
OF RAINFALL OR SOIL MOISTURE.
“ ”
Matalas, 1962
International Association of Scientific Hydrology Bulletin
CLIMATE
PACIFIC
DECADAL
OSCILLATION
Decadal variability in tree rings
Mean summer
(JJA) PDSI
LAG-1 AC
DR. EDWARD COOK DR. DAVID STAHLE
THE AR MODEL
OF THE INSTRUMENTAL PDSI
WAS ADDED TO
THE PREWHITENED TREE-RING ESTIMATES
AND THE RESULTING RECONSTRUCTION EXPLAINS
62% OF THE VARIANCE IN THE OBSERVED PDSI.
“ ”
Stahle et al., 2011
Geophysical Research Le ers
CLIMATEBIOLOGY
DR. DAVID MEKO UNIVERSITY OF ARIZONA
Source: Meko, Ph.D. dissertation, 1981
1Are decadal or multidecadal pa erns spatially coherent
across large tree-ring networks?
MAP COLORADO
UPPER COLORADO BASIN
Source: Nevada Tourism Media Relations
COLORADO RIVER
DR. TOBY AULT CORNELL UNIVERSITY
HOW DOES BETWEEN-CHRONOLOGY COHERENCE
VARY ACROSS TIMESCALES?
Source: Meko et al., Geophysical Research Le ers, 2007
WE USE THE RBAR STATISTIC TO GAUGE THE MEAN CORRELATION BETWEEN A SINGLE TREE- RING
RECORD AND ALL OTHERS IN THE NETWORK AT INTERANNUAL (H), DECADAL (M), AND
MULTIDECADAL AND CENTENNIAL (L) TIMESCALES.
INTERANNUAL (H)
DECADAL (M),
MULTIDECADAL AND CENTENNIAL (L)
MOST RECORDS SHOW STRONG COHERENCE AT HIGHER FREQUENCIES, BUT WEAKER
AGREEMENT AT LOWER FREQUENCIES.
Source: Adapted from Ault et al., Journal of Climate, 2013
PALEO-PRECIPITATION RECONSTRUCTIONS FROM TREE RINGS HAVE LESS VARIANCE
AT LOW FREQUENCIES THAN THE ORIGINAL TREE-RING CHRONOLOGIES.
THE MOST OBVIOUS SOURCE OF
NONCLIMATIC PERSISTENCE
IN TREE-RING DATA

IS ERROR IN REMOVAL OF
THE GROWTH TREND
WHEN CONVERTING ANNUAL RING WIDTHS
TO TREE-RING INDICES.
“ ”
Meko, 1981
Doctoral dissertation, University of Arizona
2What detrending methods are best when trying to
recover these ‘intermediate’ frequency signals?
Decadal variability in tree rings
NAM2K PHASE 2 TREE-RING NETWORK
Decadal variability in tree rings
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5
0
0.05
0.1
0.15
0.2
0.25
0.3
Mean squared coherence
Frequency (1/f)
Signal-free version
of the age-dependent
spline-detrended chronology
Variance-stabilized standard version
of the age-dependent
spline-detrended chronology
Standard version
of the age-dependent
spline-detrended chronology
Variance-stabilized
signal-free version
of the age-dependent
spline-detrended chronology
Negative exponential chronology
FOR THESE TEMPERATURE-SENSITIVE TREES,
SIGNAL-FREE DETRENDING DOES INCREASE THE BETWEEN-
CHRONOLOGY COHERENCE AT LOW FREQUENCIES.
UPPER MISSOURI BASIN
-0.15 -0.1 -0.05 0.05 0.1 0.15
0
20
40
60
80
100
120
Standard chronologies
Signal-free chronologies
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0
Number of chronologies
Between-tree correlation
Difference in RBAR
RBAR higher in SigFreeRBAR higher in Std
0 0.1 0.2 0.3 0.4 0.5
0.1
0.12
0.14
0.16
0.18
0.2
0.22
0.24
Median coherence between neighboring chronologies
Negative-exponential detrended
Signal-free detrended
MEAN SQUARED
COHERENCE
BUT FOR MOISTURE-SENSITIVE TREES, SIGNAL-FREE DETRENDING DOES NOT AFFECT
THEIR AGREEMENT WITH NEIGHBORING CHRONOLOGIES ONE BIT.
DECADAL
VARIABILITY
… THE USE OF
HIGH-RESOLUTION PROXY DATA
SHOULD BE EXPANDED BECAUSE
THE SHORT OBSERVATIONAL RECORD
AND MODEL UNCERTAINTY
ARE UNABLE TO SIMULATE
[DECADAL CLIMATE VARIABILITY]…
“ ”
Mehta et al., 2011
Bulletin of the American Meteorological Society
ADVANTAGE
DISADVANTAGE
Short relative to
decadal timescales
Firmly grounded
in reality
Too sensitive to
volcanic forcing?
Simulations are much longer
than the timescale of interest
Long records
grounded in reality
Proxy systems may distort
or exaggerate decadal signals
THE DECADAL CLIMATE “CONUNDRUM”
DR. BENOIT MANDELBROT MARCH 2007
Decadal variability in tree rings
Source: Baillie, Journal of Econometrics, 1996
TREE-RING WIDTHS HAVE OFTEN USED TO ILLUSTRATE
LONG-MEMORY BEHAVIOR IN NATURE.
Decadal variability in tree rings

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Decadal variability in tree rings

  • 1. DECADAL VARIABILITY IN TREE-RING RECORDS SCOTT ST. GEORGE | UNIVERSITY OF MINNESOTA
  • 4. Decadal-To-Multidecadal Variability In The Earth’s Climate Viewed Through The Lens Of Ancient Trees University of Minnesota Johannes Gutenberg-Universität Mainz Helmholtz-Zentrum Geesthacht
  • 5. ?WHY DO TREE-RING WIDTHS EXHIBIT SO MUCH VARIANCE ON DECADAL AND MULTIDECADAL TIMESCALES?
  • 9. WE FOUND PERVASIVE AND SUBSTANTIAL “LEGACY EFFECTS” OF REDUCED GROWTH AND INCOMPLETE RECOVERY FOR 1 TO 4 YEARS AFTER SEVERE DROUGHT. “ ” Anderegg et al., 2015 Science
  • 11. THESE LARGE VALUES OF SERIAL CORRELATION SUGGEST THAT THE NON-RANDOMNESS OF TREE-RING SEQUENCES IS DUE TO THE STORAGE OF FOOD PRODUCTS IN THE TREE RATHER THAN THE YEAR TO YEAR VARIATIONS OF RAINFALL OR SOIL MOISTURE. “ ” Matalas, 1962 International Association of Scientific Hydrology Bulletin
  • 16. DR. EDWARD COOK DR. DAVID STAHLE
  • 17. THE AR MODEL OF THE INSTRUMENTAL PDSI WAS ADDED TO THE PREWHITENED TREE-RING ESTIMATES AND THE RESULTING RECONSTRUCTION EXPLAINS 62% OF THE VARIANCE IN THE OBSERVED PDSI. “ ” Stahle et al., 2011 Geophysical Research Le ers
  • 19. DR. DAVID MEKO UNIVERSITY OF ARIZONA
  • 20. Source: Meko, Ph.D. dissertation, 1981
  • 21. 1Are decadal or multidecadal pa erns spatially coherent across large tree-ring networks?
  • 23. Source: Nevada Tourism Media Relations COLORADO RIVER
  • 24. DR. TOBY AULT CORNELL UNIVERSITY
  • 25. HOW DOES BETWEEN-CHRONOLOGY COHERENCE VARY ACROSS TIMESCALES? Source: Meko et al., Geophysical Research Le ers, 2007
  • 26. WE USE THE RBAR STATISTIC TO GAUGE THE MEAN CORRELATION BETWEEN A SINGLE TREE- RING RECORD AND ALL OTHERS IN THE NETWORK AT INTERANNUAL (H), DECADAL (M), AND MULTIDECADAL AND CENTENNIAL (L) TIMESCALES.
  • 27. INTERANNUAL (H) DECADAL (M), MULTIDECADAL AND CENTENNIAL (L) MOST RECORDS SHOW STRONG COHERENCE AT HIGHER FREQUENCIES, BUT WEAKER AGREEMENT AT LOWER FREQUENCIES.
  • 28. Source: Adapted from Ault et al., Journal of Climate, 2013 PALEO-PRECIPITATION RECONSTRUCTIONS FROM TREE RINGS HAVE LESS VARIANCE AT LOW FREQUENCIES THAN THE ORIGINAL TREE-RING CHRONOLOGIES.
  • 29. THE MOST OBVIOUS SOURCE OF NONCLIMATIC PERSISTENCE IN TREE-RING DATA
 IS ERROR IN REMOVAL OF THE GROWTH TREND WHEN CONVERTING ANNUAL RING WIDTHS TO TREE-RING INDICES. “ ” Meko, 1981 Doctoral dissertation, University of Arizona
  • 30. 2What detrending methods are best when trying to recover these ‘intermediate’ frequency signals?
  • 32. NAM2K PHASE 2 TREE-RING NETWORK
  • 34. 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0 0.05 0.1 0.15 0.2 0.25 0.3 Mean squared coherence Frequency (1/f) Signal-free version of the age-dependent spline-detrended chronology Variance-stabilized standard version of the age-dependent spline-detrended chronology Standard version of the age-dependent spline-detrended chronology Variance-stabilized signal-free version of the age-dependent spline-detrended chronology Negative exponential chronology FOR THESE TEMPERATURE-SENSITIVE TREES, SIGNAL-FREE DETRENDING DOES INCREASE THE BETWEEN- CHRONOLOGY COHERENCE AT LOW FREQUENCIES.
  • 36. -0.15 -0.1 -0.05 0.05 0.1 0.15 0 20 40 60 80 100 120 Standard chronologies Signal-free chronologies 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0 Number of chronologies Between-tree correlation Difference in RBAR RBAR higher in SigFreeRBAR higher in Std
  • 37. 0 0.1 0.2 0.3 0.4 0.5 0.1 0.12 0.14 0.16 0.18 0.2 0.22 0.24 Median coherence between neighboring chronologies Negative-exponential detrended Signal-free detrended MEAN SQUARED COHERENCE BUT FOR MOISTURE-SENSITIVE TREES, SIGNAL-FREE DETRENDING DOES NOT AFFECT THEIR AGREEMENT WITH NEIGHBORING CHRONOLOGIES ONE BIT.
  • 39. … THE USE OF HIGH-RESOLUTION PROXY DATA SHOULD BE EXPANDED BECAUSE THE SHORT OBSERVATIONAL RECORD AND MODEL UNCERTAINTY ARE UNABLE TO SIMULATE [DECADAL CLIMATE VARIABILITY]… “ ” Mehta et al., 2011 Bulletin of the American Meteorological Society
  • 40. ADVANTAGE DISADVANTAGE Short relative to decadal timescales Firmly grounded in reality Too sensitive to volcanic forcing? Simulations are much longer than the timescale of interest Long records grounded in reality Proxy systems may distort or exaggerate decadal signals THE DECADAL CLIMATE “CONUNDRUM”
  • 41. DR. BENOIT MANDELBROT MARCH 2007
  • 43. Source: Baillie, Journal of Econometrics, 1996 TREE-RING WIDTHS HAVE OFTEN USED TO ILLUSTRATE LONG-MEMORY BEHAVIOR IN NATURE.