Spatio-Temporal Variability in Topoclimate Inferred from Land Surface Temperature Data (and its relevance for mapping climate refugia) Solomon Dobrowski, Jared Oyler, Brady Allred College of Forestry and Conservation University of Montana Outline § Motivations § Topoclimate § Methods § Results § Conclusions Motivation § Refugia should have topoclimatic heterogeneity, environmental stability, and accessibility (Keppel et al. 2015) Topoclimate Large-­‐scale Atmospheric Circula0on + Topographic posi0on Slope/Aspect Land Surface Proper0es = Topoclimate Topoclimate § “The climate of a place” or “local climate” (Thornthwaite, 1953) § “…the climate of terrain of several km2…[topoclimate is] strongly interrelated with relief and surface properties such as aspect, slope angle, surface albedo and roughness” (Littmann, 2008). § Topoclimates (10m to 1 km) are the effects of aspect, slope, relative elevation, and surrounding terrain on solar exposure, wind, and cold air drainage (Ackerly et al., 2010). § “…the climate experienced by an organism in situ…the sum of regional advective influences and local terrain influences…spatial estimates of climate as it varies with topographic position in the landscape” (Dobrowski, 2011) Motivation § Refugia should have topoclimatic heterogeneity, environmental stability, and accessibility (Keppel et al. 2015) § How can we map topoclimatic diversity? § Does high terrain variability = topoclimatic diversity? § Why LST? Motivation § LST is the radiometric temperature of the ground or canopy surface § LST spatial patterns are sensitive to air temperature, land surface properties such as land cover, albedo, soil moisture, and their interaction with atmospheric conditions § LST is a biophysical parameter that differs from air temperature, but the two variables are physically related and can be strongly correlated Methods LST ~ Geographic Position (X,Y,Z) + Land Cover (NDVI, snow) + Topoclimatic Drivers (SRAD, TPI, CTI, HLI) Methods (data) § LST (land surface temperature) - MODIS Aqua MYD11A2 8-day 1km product. 10-year (2003-2012) climatological LST means for each month for day and night (Oyler et al. 2015). § X,Y,Z – longitude, latitude, elevation Geographic Position § NDVI - MODIS Terra MOD13A3 monthly composite 1-km product monthly time varying § Snow - MODIS Terra MOD10A2 8-day 500-m snow cover product. Land Cover § § § § SRAD – monthly average clear sky shortwave radiation TPI – topographic position index CTI – topographic wetness index (also known as TWI or TCI) HLI – Heat load index Topoclimate Drivers Methods LST1 ~ Geographic Position (X,Y,Z) LST2 ~ Geographic Position (X,Y,Z) + Land Cover (NDVI, snow) LST3 ~ Geographic Position (X,Y,Z) + Land Cover (NDVI, snow) + Topoclimatic Drivers (SRAD, TPI, CTI, HLI) Methods (study area) or linear predict Methods (modeling) lon LST3 ~ Geographic Position (X,Y,Z) + Land Cover (NDVI, snow) + lat Topoclimatic Drivers (SRAD, TPI, CTI, HLI) or linear predict v ele lat v ele Used GAM Fit separate models for each month n=5000 s(x,y,z) interaction term s(term,2) for other predictors lon or linear predict - - - - - Results (LST 1.0 night) 0.8 ● ● ● ● ● ● ● ● 0.6 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0.2 0.4 ● ● ● ● ● ● lst~(x,y,z) lst~(x,y,z)+snow+ndvi lst~(x,y,z)+snow+ndvi+srad+hli+cti+tpi 0.0 % deviance explained ● ● 2 4 6 month 8 10 12 Results (LST 0.8 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0.6 ● ● ● ● ● ● ● ● ● ● ● ● ● 0.2 0.4 ● lst~(x,y,z) lst~(x,y,z)+snow+ndvi lst~(x,y,z)+snow+ndvi+srad+hli+cti+tpi 0.0 % deviance explained 1.0 night) 2 4 6 month 8 10 12 Results “ OK, this looks cool but are these temperature differences real?” “ Do these reflect actual air temperature differences?” Methods Temp1 ~ Geographic Position (X,Y,Z) Temp2 ~ Geographic Position (X,Y,Z) + Land Cover (NDVI, snow) Temp3 ~ Geographic Position (X,Y,Z) + Land Cover (NDVI, snow) + Topoclimatic Drivers (SRAD, TPI, CTI, HLI) ●● ● ●●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ●● ● ●● ● ● ● ● ●● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ●● ●● ● ● ● ●● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ●● ● ● ● ●● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ●● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ●● ●● ●● ●● ●● ● feb ● ● ●● 1 3 −3 −1 1 1 2 3 2 3 −3 −1 ● ● ●● ●● ● ●● ● ● ● ●● ● ●● ● ●● ● ● ● ● ● ● ● ● ●● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ●● ● ● ● ●● ● ● ● ●● ● ● ●● ● ● ●● ● ● ●●● ●● ● ● ● ● ●● ● ● ● ● ● ● ●●● ● ● ● ●● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ●●● ● ● ●●● ● ●● ●●● ● −1 0.87 −3 −3 ● 1 jun 1 2 3 ● ● ● 1 2 3 may ●● ●● ●● ● ● ●● ●● ● ●● ● ●●● ● ● ● ● ●● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ●● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ●● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ●●●● ● ● ● ●● ● ● ● ● ● ● ● ● 0.85 −1 1 2 3 apr ●● ● ●● ● ● ● ● ● ● ● ●● ● ● ●● ● ● 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● ● ● ● ●● ●●● ●●●● ● ● ●● ●●● ●●● ● ●● ●● ● ● ● ●● ●●●● ● ● ● ●● ● ●● ● ● ●●● ● ● ● ●● ●● ●● ● ●● ● ●● ● ●● ●● ● ● ● ● ● ● ●● ● ● ● ● ● ● ●● ● ● ● ● ● ●●● ● ● ● ●● ●● ● ● ●● ●● ● ● ●● ● ● ● ●● −1 aug● ●●●● −3 −3 −1 1 2 3 jul● ● ●● −3 −1 1 −3 −1 2 0.91 ● −3 ● ● 0.81 −1 0.92 −3 1 2 3 −1 2 mar −1 −1 ● ● ● ●● ●● ● ●● ●● ● ●● ●● ● ● ● ●● ● ● ● ● ● ● ● ●● ● ● ● ● ●● ● ● ● ●● ●● ● ● ●● ●● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ●● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ●● ●● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ●●● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ●● ● ● ● ● ● ● ● ● ● ●● ● ●● ●● ●● ● ● ● ● ● −3 −3 −3 Middle Rockies Tmin vs LSTnight n ~ 300 met stations model differences − station air temp (degree C) −3 −1 Results 0.92 −3 1 2 3 jan ● ● ●●● ● ● ● ●● ● ● ● ●● ● ● ● ● ● ●●● ● ●● ● ●● ● ● ● ● ● ● ● ● ●●● ● ●● ● ● ● ● ● ● ● ● ● ● ●●● ● ●● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ●●●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ●● ● ●● ● ● ● ● ● ● ●●● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ●● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ●● ● ●● ● ● ●● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●●● ● ●●● ● ●● ● ● ● ● ●● ● ● 0.91 −3 −1 model differences − LST (degree C) 1 2 3 1 2 3 −3 −3 −1 2 3 2 3 −3 −1 2 3 1 2 3 ● 0.76 ● −1 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ●● ● ●● ● ●● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ●● ● ●● ● ●●● ● ● ● ●● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ●● ●●● ● ●● ● 1 2 3 −3 −1 2 3 ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ●● ● ● ●●● ● 2 3 2 3 2 3 2 3 0.74 ● ● ● ● ● ●● ●● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ●● ●● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ●● ● ●● ●● ● ● ● ● ● ● ●● ●● ● ●● ● ●● ● ●● ● ●● ●● ●● ● ● ●● −3 −1 1 0.63 ● ● ● ● ●● ●●● ● ● ●● ● ●● ●●● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ●●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●●● ● ● ● ● ● ● ● ● −3 −3 1 1 dec 0.82 −1 ● ●● ●● ● ● ●● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●●● ● ● ●●● ● ● ●● ● ●● ● ● ●● ● ●● ●● ● ● ● ● ● ● ●● ● ● ●● ● ● ●● ● ● ● ● −1 1 1 2 3 0.79 −1 −1 nov 1 2 3 oct −3 −3 −1 −1 3 sep −3 −3 −1 1 −1 ● 2 ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ●● ● ● ●● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ●●● ● ● ● ● ●● ● ● ● ●● ● ● ● ●● ● ●● ● ● ● ● ● ●● ●● ● ● ●●● ● ● ● ● ● ● ●● ● ● ● −3 ●● 1 0.75 aug ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ●● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ●● ●● ●● ● ● ● ● ● ● ● ●● ●●●● ● ● ●● ● −3 −1 −3 −1 ● ●● ● ●●●● ●● ● ● ● ● ●● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ●●● ●● ● ● ● ●●● ●● ● ●● ● ● ● −3 1 1 2 3 0.76 −3 jun 0.77 jul 1 2 3 1 1 2 3 1 2 3 1 2 3 −3 −1 ● ● ● ● ● ● ● ● ● ● ● ●●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ●● ● ● ● ● ●● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●●●● ● ● ● −1 ● ●● ●● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ●● ● ● ● ●● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● may 0.8 −3 0.78 −1 −1 apr 1 2 3 1 2 3 ● ● ● ● ● ●● ● ●● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ●●● ●● ● ● ●● ● ● ●● ●● ●● ● ● ● −3 −3 −3 −3 model differences − station air temp (degree C) West Cascades Tmin vs LSTnight n ~ 100 met stations 0.71 −1 ● ● ● ● ●● ● ● ● ● ● ● ●●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ●●●●● ● ● ● ● ● mar −1 0.7 −1 Results feb 1 2 3 1 2 3 jan −3 −1 1 2 3 −3 −1 model differences − LST (degree C) 1 Conclusions § Work in progress § Topoclimatic effects are time varying and site specific § LST data seems promising § Challenges – cloudy areas? § Retrieval of other biophysical variables? Acknowledgements § The Nature Conservancy (Joe Fargione, Brad McRae) § Wilburforce Foundation § NSF § RMRS