a new method for statistical downscaling of gcm …this study was supported by a grant from the nasa...

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A New Method for Statistical Downscaling of GCM Precipitation and Application to South Florida Water Management Brian Soden 1 , Eui-Seok Chun g1 , Jayantha Obeysekera 2 , and Gabriel Vecchi 3 1 Rosenstiel School of Marine and Atmospheric Science, University of Miami, 2 South Florida Water Management District, 3 NOAA/GFDL 2. Current GCM Projections Figure 2: Multi-model local precipitation trend measures. (a) Precipitation trend for JJA of the multi-model ensemble median from 1979 to 2099. Shading indicates >99% significance by the Spearman-rho test. The black line gives the 4 mm/day contour from the median climatology (1900–1999 average) of the models to indicate a typical boundary of the convection zones. (b) Model agreement on the predicted local precipitation trend from 1979 to 2099 for JJA. The number of models at each location that agree on a dry trend or a wet trend exceeding 99% significance and exceeding a minimum amplitude change (20% of the median climatology per century) is given by the brown or green color bars, respectively. Only regions with five or more of the 10 models agreeing are shaded. From Neelin et al. (2006). References He, J., and B. J. Soden (2016), The impact of SST biases on projections of anthropogenic climate change: A greater role for atmosphere- only models?, Geophys. Res. Lett., 43, 7745-7750. Neelin, J. D., M. Munnich, H. Su, J. E. Meyerson, and C. E. Holloway (2006), Tropical drying trends in global warming models and observations, PNAS, 103, 6110-6115. Obeysekera, J., M. Irizarry, J. Park, J. Barnes, and T. Dessalegne (2011), Climate change and its implications for water resources management in south Florida, Stochastic Environmental Research & Risk Assessment, 25, 495-516. Soden, B. J. (1998), Tracking upper tropospheric water vapor radiances: A satellite perspective, J. Geophys. Res., 103, 17,069-17,081. Acknowledgments. This study was supported by a grant from the NASA Precipitation Measurement Missions Science Team. 1. Water Management in South Florida q South Florida is particularly vulnerable to changes in precipitation due to its unique hydrologic characteristics, high population density, and diverse water resource stakeholders. The native hydrology of southern Florida has been greatly altered through drainage, canalization, urbanization, and agriculture to such an extent that the Everglades are now one of the most threatened ecosystems in the nation (Fig. 1). q The federal government is currently making an effort to restore the Everglades ecosystem with little consideration of how future changes in climate may alter the flow of freshwater into the system. Planning is currently based on an assumption of stationarity using precipitation and temperature data from the historical record (1965-2000), without taking into account the impact of the long-term climate change in response to projected global warming on the regional hydrology. Figure 1: The left panel shows the estimated pre- drainage hydrological system, and the right panel shows the current managed system, which includes diverse stakeholders including agriculture, urban areas, and the Comprehensive Everglades Restoration Plan. Figure 3: A comparison of the spatial correlation in the base climatology of precipitation between two models (x-axis) with the corresponding spatial correlation in the change in precipitation between those same two models (y-axis). Results are shown for the RCP4.5 scenario from CMIP5. From He and Soden (2016). Spatial Correlation 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 RMSD (mm 2 day -2 ) 1.4 1.6 1.8 2.0 2.2 2.4 2.6 1.4 1.6 1.8 2.0 2.2 2.4 2.6 r = -0.63 Figure 4: Scatter plot of the RMSD between model- simulated and observed (GPCP) precipitation averaged over the period 1979-2005 against the corresponding spatial correlation over the 60ºS-60ºN domain. q A robust decrease in rainfall is projected over the Caribbean and extending into South Florida (Fig. 2). While certain aspects of GCM projections are robust, such as wet get wetter”, regional projections often differ among GCMs, in particular, over South Florida (Obeysekera et al., 2011). q Implicit in the wet get wetterrule of thumb for projections of anthropogenic precipitation change is a dependence of the change in precipitation on the unperturbed climatology. Recent research has further emphasized the importance of the base climatology in influencing the projections of climate change from seasonal to centennial time scales (Figs. 3 and 4). q By statistically correcting for biases in the spatial structure of the model’s unperturbed precipitation climatology, we can improve the consistency of model projections of precipitation change at the regional scale. 3. Pattern-displacement Algorithm for Statistical Downscaling Figure 5: An illustration of the spatial-displacement tracking algorithm (Soden, 1998) applied to GCM simulations from the 0.5o GFDL FLOR coupled ocean-atmosphere forecast model for JJA using TRMM 3B42 observations. Maps display observed and model-simulated precipitation (mm/day). Biases resulting from the poor representation of topography and land- sea configuration in climate models are rectified by spatially adjusting model-simulated precipitation climatology to satellite observations from TRMM and GPM (e.g., Fig. 5) 5x5 7x7 9x9 11x11 Percentage of Failed Cases 0 10 20 30 40 50 60 0 10 20 30 40 50 60 3-deg 5-deg 7-deg 9-deg Size of Reference and Target Boxes 5x5 7x7 9x9 11x11 Percentage of Failed Cases 0 10 20 30 40 50 60 0 10 20 30 40 50 60 3-deg 5-deg 7-deg 9-deg January July 5x5 7x7 9x9 11x11 Percentage of 1-to-1 Matching Cases 0 10 20 30 40 50 0 10 20 30 40 50 3-deg 5-deg 7-deg 9-deg Size of Reference and Target Boxes 5x5 7x7 9x9 11x11 Percentage of 1-to-1 Matching Cases 0 10 20 30 40 50 0 10 20 30 40 50 3-deg 5-deg 7-deg 9-deg January July 4. Sensitivity Test for Optimal Pattern Matching Figure 6: Percentage of failed precipitation pattern matching cases between CCSM4 simulations and GPCP observations over the 60ºS-60ºN domain as a function of the size of the reference and target boxes and the searching distance from the center of the reference box: (top) January and (bottom) July. The units of the size and the distance are in degrees. Figure 7: Percentage of one-to-one precipitation pattern matching between CCSM4 and GPCP over the 60ºS-60ºN domain as a function of the size of the reference and target boxes and the searching distance from the center of the reference box: (top) January and (bottom) July. Failed cases were filled by interpolation before computing the percentage. 1.4 1.6 1.8 2.0 2.2 After Spatial Adjustment (mm 2 day -2 ) 1.4 1.6 1.8 2.0 2.2 1.4 1.6 1.8 2.0 2.2 1.4 1.6 1.8 2.0 2.2 1.4 1.6 1.8 2.0 2.2 1.4 1.6 1.8 2.0 2.2 3-deg 5-deg 7-deg 9-deg Before Spatial Adjustment (mm 2 day -2 ) 1.4 1.6 1.8 2.0 2.2 After Spatial Adjustment (mm 2 day -2 ) 1.4 1.6 1.8 2.0 2.2 1.4 1.6 1.8 2.0 2.2 Before Spatial Adjustment (mm 2 day -2 ) 1.4 1.6 1.8 2.0 2.2 1.4 1.6 1.8 2.0 2.2 1.4 1.6 1.8 2.0 2.2 (a) 5x5 (b) 7x7 (c) 9x9 (d) 11x11 Figure 8: Impacts of the spatial adjustment on root-mean-square difference (RMSD) between GPCP-observed and CCSM4- simulated precipitation over the 60ºS-60ºN domain. The RMSD is computed only for one-to-one pattern matching cases, in which the size of the reference and target boxes ranges from (a) 5º×5º to (d)11º×11º. Individual symbols represent an individual month (January-to-December). The searching distance from the center of the reference box is represented using different colors. The one-to-one line is shown for reference.

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Page 1: A New Method for Statistical Downscaling of GCM …This study was supported by a grant from the NASA Precipitation Measurement Missions Science Team. 1. ... (top) January and (bottom

A New Method for Statistical Downscaling of GCM Precipitationand Application to South Florida Water Management

Brian Soden1, Eui-Seok Chung1, Jayantha Obeysekera2, and Gabriel Vecchi3

1Rosenstiel School of Marine and Atmospheric Science, University of Miami, 2South Florida Water Management District, 3NOAA/GFDL

2. Current GCM Projections

Figure 2: Multi-model local precipitation trend measures. (a) Precipitation trend for JJA of themulti-model ensemble median from 1979 to 2099. Shading indicates >99% significance by theSpearman-rho test. The black line gives the 4 mm/day contour from the median climatology(1900–1999 average) of the models to indicate a typical boundary of the convection zones. (b)Model agreement on the predicted local precipitation trend from 1979 to 2099 for JJA. Thenumber of models at each location that agree on a dry trend or a wet trend exceeding 99%significance and exceeding a minimum amplitude change (20% of the median climatology percentury) is given by the brown or green color bars, respectively. Only regions with five or more ofthe 10 models agreeing are shaded. From Neelin et al. (2006).

ReferencesHe, J., and B. J. Soden (2016), The impact of SST biases on projections of anthropogenic climate change: A greater role for atmosphere-

only models?, Geophys. Res. Lett., 43, 7745-7750.Neelin, J. D., M. Munnich, H. Su, J. E. Meyerson, and C. E. Holloway (2006), Tropical drying trends in global warming models and

observations, PNAS, 103, 6110-6115.Obeysekera, J., M. Irizarry, J. Park, J. Barnes, and T. Dessalegne (2011), Climate change and its implications for water resources

management in south Florida, Stochastic Environmental Research & Risk Assessment, 25, 495-516.Soden, B. J. (1998), Tracking upper tropospheric water vapor radiances: A satellite perspective, J. Geophys. Res., 103, 17,069-17,081.

Acknowledgments. This study was supported by a grant from the NASA Precipitation Measurement Missions Science Team.

1. Water Management in South Floridaq South Florida is particularly vulnerable to changes in precipitation due to its unique hydrologic characteristics, high population density, and diverse water resource stakeholders. The native hydrology of southern Florida has been greatly altered through drainage, canalization, urbanization, and agriculture to such an extent that the Everglades are now one of the most threatened ecosystems in the nation (Fig. 1).

q The federal government is currently making an effort to restore the Everglades ecosystem with little consideration of how future changes in climate may alter the flow of freshwater into the system. Planning is currently based on an assumption of stationarity using precipitation and temperature data from the historical record (1965-2000), without taking into account the impact of the long-term climate change in response to projected global warming on the regional hydrology.

Figure 1: The left panel shows the estimated pre-drainage hydrological system, and the right panel shows the current managed system, which includes diverse stakeholders including agriculture, urban areas, and the Comprehensive Everglades Restoration Plan.

Figure 3: A comparison of the spatial correlation in the base climatology of precipitation between two models(x-axis) with the corresponding spatial correlation in the change in precipitation between those same twomodels (y-axis). Results are shown for the RCP4.5 scenario from CMIP5. From He and Soden (2016).

Spatial Correlation0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85

RM

SD (m

m2 d

ay-2

)

1.4

1.6

1.8

2.0

2.2

2.4

2.6

1.4

1.6

1.8

2.0

2.2

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2.6

r = -0.63

Figure 4: Scatter plot of the RMSD between model-simulated and observed (GPCP) precipitation averaged over the period 1979-2005 against the corresponding spatial correlation over the 60ºS-60ºN domain.

q A robust decrease in rainfall is projected over the Caribbean and extending intoSouth Florida (Fig. 2). While certain aspects of GCM projections are robust, such as“wet get wetter”, regional projections often differ among GCMs, in particular, overSouth Florida (Obeysekera et al., 2011).

q Implicit in the “wet get wetter” rule of thumb for projections of anthropogenicprecipitation change is a dependence of the change in precipitation on theunperturbed climatology. Recent research has further emphasized the importanceof the base climatology in influencing the projections of climate change fromseasonal to centennial time scales (Figs. 3 and 4).

q By statistically correcting for biases in the spatial structure of the model’sunperturbed precipitation climatology, we can improve the consistency ofmodel projections of precipitation change at the regional scale.

3. Pattern-displacement Algorithm for Statistical Downscaling

Figure 5: An illustration of the spatial-displacement tracking algorithm (Soden, 1998) applied toGCM simulations from the 0.5o GFDL FLOR coupled ocean-atmosphere forecast model for JJAusing TRMM 3B42 observations. Maps display observed and model-simulated precipitation(mm/day).

Biases resulting from the poor representation of topography and land-sea configuration in climate models are rectified by spatially adjustingmodel-simulated precipitation climatology to satellite observations fromTRMM and GPM (e.g., Fig. 5)

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4. Sensitivity Test for Optimal Pattern Matching

Figure 6: Percentage of failed precipitation pattern matching cases between CCSM4 simulations and GPCP observations over the 60ºS-60ºN domain as a function of the size of the reference and target boxes and the searching distance from the center of the reference box: (top) January and (bottom) July. The units of the size and the distance are in degrees.

Figure 7: Percentage of one-to-one precipitation pattern matching between CCSM4 and GPCP over the 60ºS-60ºN domain as a function of the size of the reference and target boxes and the searching distance from the center of the reference box: (top) January and (bottom) July. Failed cases were filled by interpolation before computing the percentage.

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(c) 9x9 (d) 11x11

Figure 8: Impacts of the spatial adjustment on root-mean-square difference (RMSD) between GPCP-observed and CCSM4-simulated precipitation over the 60ºS-60ºN domain. The RMSD is computed only for one-to-one pattern matching cases, in which the size of the reference and target boxes ranges from (a) 5º×5º to (d)11º×11º. Individual symbols represent an individual month (January-to-December). The searching distance from the center of the reference box is represented using different colors. The one-to-one line is shown for reference.