Poleward amplification of Northern Hemisphere weekly snowcover extent
trends
Stephen Déry & Ross Brown
ENSC 454/654 – “Snow and Ice”
Outline
• Background• Motivation & Goals• Data, Methods & Data Issues• Results• Discussion• Conclusions
Background
• Northern Hemisphere snowcover extent (SCE) varies between 4-46 x 106 km2.
• Its distinct properties makes snow a key component of global climate.
• Snow responds to changes in surface air temperatures & precipitation, thus providing another indicator of climate change.
• Previous studies reveal a 5% per decade decline in Northern Hemisphere SCE (Frei & Robinson 1999).
• Declining mountain snowpacks & earlier spring freshets have been observed in recent decades over western North America (Mote et al. 2005; Stewart et al. 2005).
• Changes in snow depth & snowcover duration have also been recorded (Brown and Braaten 1998; Stone et al. 2000).
Background
Motivation & Goals
• In light of near-record warmth in 2006 & the recent changes observed in the cryosphere, there is an urgent need to better understand SCE trends.
• Objective: To develop & interpret weekly trends in Northern Hemisphere (NH), North American (NA) & Eurasian (EU) SCE for the period 1972-2006.
• Weekly values of SCE from January 1972 to December 2006 from Rutgers University.
• Monotonic trends in weekly SCE assessed with Mann-Kendall test (MKT) over NH, NA (excluding Greenland) & EU.
• MKT assumes a linear trend in the form: S = mt + b (1)
• Where S is SCE, t is time (year) & m is the slope of the linear trend given by:
Data & Methods
mk = (Sj – Si)/(tj – ti),
k = 1, 2, …, n(n-1)/2
i = 1, …, n-1
j = 2, 3, …, n
• All of the slopes mk are then ranked, with the median value representing the slope m of the linear trend.
• The coefficient b is found by substituting the median values of SCE & time in Eq. (1) & solving for b.
Strength of the MKT
Strength of the MKT
• Trends expressed in absolute values (× 106 km2), as a % from initial (1972) values, in standardized units, & insolation-weighted anomalies.
• Time series of weekly SCE data (Si) are standardized by:
SSi = (Si – Si)/σi , (i =1-53)
• Insolation-weighted anomalies are computed by multiplying the absolute values of SCE by the ratio of the average & maximum weekly incoming solar radiation at 60oN.
Data Issues• Continental snowcovers exhibit temporal
persistence.• This implies positive autocorrelation of
SCE values, meaning that time series of subsequent weekly SCE values do not form independent datasets.
• Thus methodologies must be developed to reduce/remove the effect of serial correlation on trend analyses.
• Trends & correlations are considered statistically-significant when p < 0.05.
Number of weeks with significant autocorrelations of continental SCE
Year-to-year autocorrelation in continental SCE
Results
Summary of Trend Analysis
Statistic N.H. N.A. Eurasia
Mean SCE (×106 km2)
23.3 8.4 14.9
SCE Trend (×106 km2)/35 years
-1.32 -0.80 -0.49
Positive significant trends
2 0 4
Negative significant trends
24 23 20
Discussion
Coherent variability & signal
• Correlation between standardized NA & EU weekly SCE is r = 0.41 (p < 0.001).
• Standardized weekly SCE are of the same sign 64% of the time (88% when greater than ±1 standard deviation).
• Correlation between NA & EU trends in standardized SCE is r = 0.83 (p < 0.001).
• This implies a hemispheric-scale process may be acting on continental snowcovers.
Poleward amplification of trends• Linear regressions on standardized SCE
trends (January to early August) yield correlation coefficients of -0.89 to -0.96.
• This suggests a poleward amplification of SCE anomalies owing to persistence in the cryospheric system.
• Negative trends in early spring SCE amplify during late spring & summer, with implications to the growing season, vegetation growth, species composition, …
Poleward Amplification
Snow-albedo feedback
• Trends in insolation-weighted SCE values show greatest changes near the summer solstice.
• This feature, in addition to the spatial coherence of the intercontinental snowcovers & temporal persistence on weekly & annual time scales, are possible manifestations of snow-albedo feedback.
Conclusions• Strong negative trends in NH, NA, & EU
weekly SCE (1972-2006) are observed.• These trends are influenced by temporal
persistence (i.e. serial correlation) in the cryospheric system.
• Similar behaviour in NA & EU snowcovers, including covariability, persistence, & amplified trends in spring/summer provides evidence of the snow-albedo feedback acting on a hemispheric-scale.
Postscript: Autocorrelation