2012 AGU Chapman Conference on Remote Sensing of the ...
2012 AGU Chapman Conference on Remote Sensing of the ...
2012 AGU Chapman Conference on Remote Sensing of the ...
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ealistic models <strong>of</strong> <strong>the</strong> structure - i.e. to tame <strong>the</strong> variability -is <strong>the</strong> existence <strong>of</strong> some scale by scale regularity, <strong>the</strong> existence<strong>of</strong> regimes which are in some sense scale invariant over wideranges <strong>of</strong> space-time scales. Over <strong>the</strong> past thirty years it hasbecome clear that scale invariance is a symmetry principle <strong>of</strong>great generality; a system can scale invariant even when it ishighly anisotropic so that small and large structure arestatistically related by “zooms” followed by <strong>the</strong> squashingand rotati<strong>on</strong> <strong>of</strong> structures. It is also known thatmultiplicative cascades are typically associated withn<strong>on</strong>linear scale invariant dynamics. Today, technologicaladvances have permitted observati<strong>on</strong>s <strong>of</strong> precipitati<strong>on</strong> overwide ranges <strong>of</strong> scales including <strong>the</strong> extreme small drop scales(using stereophotography) and <strong>the</strong> extreme large planetaryscales (using satellite borne radar) as well as meteorologicalreanalyses and to c<strong>on</strong>tinental scale gridded raingageproducts. Below scales <strong>of</strong> roughly 30 - 50 cm (depending <strong>on</strong><strong>the</strong> rate) <strong>the</strong> rain decouples from <strong>the</strong> turbulence formingstatistically homogeneous “patches”. At larger scales, <strong>on</strong> <strong>the</strong>c<strong>on</strong>trary, <strong>the</strong> precipitati<strong>on</strong> is str<strong>on</strong>gly coupled with <strong>the</strong>turbulence so that <strong>the</strong> liquid water statistics are very nearlythose <strong>of</strong> passive scalars. Using in situ rain gage networks,ground and satellite radar data and meteorologicalreanalyses, we show that <strong>the</strong> precipitati<strong>on</strong> has amultiplicative cascade structure up to planetary scales inspace and up to w 5- 10 days in time. At times l<strong>on</strong>ger thanw - <strong>the</strong> lifetime <strong>of</strong> planetary scale structures – <strong>the</strong> statistics<strong>of</strong> atmospheric fields (including precipitati<strong>on</strong>) becomemuch “calmer”, <strong>the</strong> spatial degrees <strong>of</strong> freedom are essentiallyquenched (a “dimensi<strong>on</strong>al transiti<strong>on</strong>”). We have <strong>the</strong>emergence <strong>of</strong> a new “low frequency wea<strong>the</strong>r” regime whosestatistics we characterize. But precipitati<strong>on</strong> is str<strong>on</strong>glyn<strong>on</strong>linearly coupled to <strong>the</strong> o<strong>the</strong>r atmospheric fields. To becredible, this scale invariant cascade dynamic must apply to<strong>the</strong> o<strong>the</strong>r fields as well. We outline such a paradigm based <strong>on</strong>a) advances in <strong>the</strong> last 25 years in n<strong>on</strong>linear dynamics, b) acritical reanalysis <strong>of</strong> empirical aircraft and vertical s<strong>on</strong>dedata, c) <strong>the</strong> systematic scale by scale space-time exploitati<strong>on</strong><strong>of</strong> high resoluti<strong>on</strong> remotely sensed data (TRMM radar andradiances, MTSAT radiances) d) <strong>the</strong> systematic reanalysis <strong>of</strong><strong>the</strong> outputs <strong>of</strong> numerical models <strong>of</strong> <strong>the</strong> atmosphereincluding GFS, GEM models and <strong>the</strong> ERA40, and <strong>the</strong> NOAA20th Century reanalyses) and e) a new turbulent model for<strong>the</strong> emergence <strong>of</strong> <strong>the</strong> climate from “wea<strong>the</strong>r” and climatevariability. We discuss applicati<strong>on</strong>s to <strong>the</strong> remote sensing <strong>of</strong>rain and implicati<strong>on</strong>s for hydrology.Luo, YuezhenHigh-Resoluti<strong>on</strong> Regi<strong>on</strong>al Analyses <strong>of</strong> Daily andHourly Precipitati<strong>on</strong> Climatology over EasternChinaLuo, Yuezhen 1 ; Shan, Quan 1 ; Chen, Liang 1 ; Luo, Yang 1 ; Xie,Pingping 21. CMA Zhejiang Meteorological Bureau, Hangzhou City,China2. NOAA Climate Predicti<strong>on</strong> Center, Camp Springs, MD,USAAnalyses <strong>of</strong> daily and hourly precipitati<strong>on</strong> climatologyare c<strong>on</strong>structed <strong>on</strong> a 1kmx1km grid over Zhejiang Province<strong>of</strong> eastern China through interpolating stati<strong>on</strong> data withorographic c<strong>on</strong>siderati<strong>on</strong>. The high-resoluti<strong>on</strong> regi<strong>on</strong>alprecipitati<strong>on</strong> climatology are defined using <strong>the</strong> PRISMm<strong>on</strong>thly climatology <strong>of</strong> Daly et al. (1994), stati<strong>on</strong> reports <strong>of</strong>daily and hourly precipitati<strong>on</strong> from 1961 to 2010 at 68stati<strong>on</strong>s over <strong>the</strong> province <strong>of</strong> ~100K km2, and DEMelevati<strong>on</strong> data. The PRISM m<strong>on</strong>thly climatology used in thisstudy was c<strong>on</strong>structed <strong>on</strong> a 5kmx5km resoluti<strong>on</strong> over Chinawith orographic c<strong>on</strong>siderati<strong>on</strong> and represents <strong>the</strong> meanclimatology for 1961-1990. First, m<strong>on</strong>thly climatology withorographic c<strong>on</strong>siderati<strong>on</strong> is defined <strong>on</strong> a 1kmx1km grid torepresent <strong>the</strong> mean state <strong>of</strong> precipitati<strong>on</strong> for 1981-2010. Tothis end, analyzed fields <strong>of</strong> ratio between m<strong>on</strong>thly stati<strong>on</strong>normal for 1981-2010 and that for 1961-1990 arec<strong>on</strong>structed for each calendar m<strong>on</strong>th by interpolatingcorresp<strong>on</strong>ding stati<strong>on</strong> values at <strong>the</strong> 68 stati<strong>on</strong>s using <strong>the</strong>algorithm <strong>of</strong> Shepard (1965). The analyzed ratio is <strong>the</strong>nmultiplied to <strong>the</strong> 1961-1990 PRISM climatology to get <strong>the</strong>analyzed fields <strong>of</strong> PRISM m<strong>on</strong>thly climatology for 1981-2010<strong>on</strong> a 5kmx5km grid. This PRISM m<strong>on</strong>thly climatology isfur<strong>the</strong>r desegregated to a finer grid <strong>of</strong> 1kmx1km usinglocally established empirical linear relati<strong>on</strong>ship betweenprecipitati<strong>on</strong> climatology and elevati<strong>on</strong>. To define analyzedfields <strong>of</strong> daily climatology, mean daily precipitati<strong>on</strong> is firstcomputed for each calendar day and for each <strong>of</strong> <strong>the</strong> 68stati<strong>on</strong>s using <strong>the</strong> stati<strong>on</strong> daily reports from 1981 to 2010.Harm<strong>on</strong>ic analysis is performed to <strong>the</strong> raw time series <strong>of</strong>365-day mean daily stati<strong>on</strong> precipitati<strong>on</strong> and <strong>the</strong> summati<strong>on</strong><strong>of</strong> <strong>the</strong> first 6 comp<strong>on</strong>ent is defined to represent <strong>the</strong>evoluti<strong>on</strong> <strong>of</strong> seas<strong>on</strong>al changes <strong>of</strong> daily precipitati<strong>on</strong> at eachstati<strong>on</strong>. Analyzed fields <strong>of</strong> daily precipitati<strong>on</strong> climatology are<strong>the</strong>n c<strong>on</strong>structed <strong>on</strong> a grid <strong>of</strong> 1kmx1km by interpolating <strong>the</strong>truncated daily stati<strong>on</strong> values and adjusting <strong>the</strong> interpolateddaily fields against <strong>the</strong> m<strong>on</strong>thly PRISM climatologydescribed above. The resulting daily precipitati<strong>on</strong>climatology presents orographic effects passed from <strong>the</strong>PRISM climatology through <strong>the</strong> adjustment. To document<strong>the</strong> seas<strong>on</strong>al evoluti<strong>on</strong> <strong>of</strong> diurnal cycle, analyzed fields <strong>of</strong>hourly precipitati<strong>on</strong> are c<strong>on</strong>structed <strong>on</strong> a 1kmx1km gridover <strong>the</strong> province for each <strong>of</strong> <strong>the</strong> 365 calendar day. To thisend, raw hourly mean precipitati<strong>on</strong> is computed for eachhourly box and for each calendar day using stati<strong>on</strong> reportsfor 1981-2010. Reports for a 15-day sliding window centeringat <strong>the</strong> target day are used in defining <strong>the</strong> raw hourly meanvalues. The time series <strong>of</strong> 24 mean hourly values for each94