Ocean Prediction Systems: Advanced Concepts And

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Ocean Prediction Systems:Advanced Concepts and Research IssuesAllan R. RobinsonHarvard UniversityDivision of Engineering and Applied SciencesDepartment of Earth and Planetary Sciences

System Concepts Research Issue Examples Demonstration of ConceptMulti-InstitutionalExperiment off CaliforniaCoast (AOSN-II)Harvard UniversityPatrick J. Haley, Jr.Pierre F.J. LermusiauxWayne G. LeslieX. San LiangOleg LogoutovRucheng TianChing S. Chiu (NPS)Larry Anderson (WHOI)Avijit Gangopadhyay (Umass.-Dartmouth)

Interdisciplinary Ocean Science Today Research underway on coupled physical, biological,chemical, sedimentological, acoustical, opticalprocesses Ocean prediction for science and operationalapplications has now been initiated on basin andregional scales Interdisciplinary processes are now known to occuron multiple interactive scales in space and time withbi-directional feedbacks

System Concept The concept of Ocean Observing and PredictionSystems for field and parameter estimations hasrecently crystallized with three major components An observational network: a suite of platforms andsensors for specific tasks A suite of interdisciplinary dynamical models Data assimilation schemes Systems are modular, based on distributedinformation providing shareable, scalable, flexibleand efficient workflow and management

Interdisciplinary Data Assimilation Data assimilation can contributepowerfully to understanding and modelingphysical-acoustical-biological processesand is essential for ocean field predictionand parameter estimation Model-model, data-data and data-modelcompatibilities are essential and dedicatedinterdisciplinary research is needed

Interdisciplinary Processes - Biological-Physical-Acoustical InteractionsPhysics - DensityBiology –Fluorescence(Phytoplankton)Acoustics –Backscatter(Zooplankton)Almeira-Oran front in Mediterranean SeaFielding et al, JMS, 2001Griffiths et al,Vol 12, THE SEA

Biological-Physical-Acoustical Interactions Distribution of zooplankton is influenced by both animal behavior(diel vertical migration) and the physical environment. Fluorescence coincident with subducted surface waters indicatesthat phytoplankton were drawn down and along isopycnals, bycross-front ageostrophic motion, to depths of 200 m. Sound-scattering layers (SSL) show a layer of zooplanktoncoincident with the drawn-down phytoplankton. Layer persistsduring and despite diel vertical migration. Periodic vertical velocities of 20 m/day, associated with thepropagation of wave-like meanders along the front, have asignificant effect on the vertical distribution of zooplankton acrossthe front despite their ability to migrate at greater speeds.

Coupled Interdisciplinary Data Assimilationx [xA xO xB]Unified interdisciplinary state vectorPhysics: xO [T, S, U, V, W]Biology: xB [Ni, Pi, Zi, Bi, Di, Ci]Acoustics: xA [Pressure (p), Phase (ϕ)]P ε{}(xˆ – x t ) ( xˆ – x t )TPAA PAO PABP POA POO POBPBA PBO PBBCoupled error covariancewith off-diagonal terms

Data Assimilationin Advanced OceanPrediction Systems

HOPS/ESSE SystemHarvard Ocean Prediction System - HOPS

HOPS/ESSE SystemError Subspace Statistical Estimation - ESSE Uncertainty forecasts (with dynamic error subspace, error learning)Ensemble-based (with nonlinear and stochastic primitive eq. model (HOPS)Multivariate, non-homogeneous and non-isotropic Data Assimilation (DA)Consistent DA and adaptive sampling schemes

HOPS/ESSE Long-Term Research GoalTo develop, validate, and demonstrate an advancedrelocatable regional ocean prediction systemfor the real-time ensemble forecasting andsimulation of interdisciplinary multiscale oceanicfields and their associated errors and uncertainties,which incorporates bothautonomous adaptive modeling andautonomous adaptive optimal sampling

ApproachTo achieve regional field estimates as realistic andvalid as possible, an effort is made to acquire andassimilate both remotely sensed and in situ synopticmultiscale data from a variety of sensors andplatforms in real time or for the simulation period,and a combination of historical synoptic data andfeature models are used for system initialization.

Ongoing Research ObjectivesTo extend the HOPS-ESSE assimilation, real-timeforecast and simulation capabilities to a singleinterdisciplinary state vector of ocean physicalacoustical-biological fields.To continue to develop and to demonstrate thecapability of multiscale simulations and forecastsfor shorter space and time scales via multiplespace-time nests (Mini-HOPS), and for longerscales via the nesting of HOPS into other basinscale models.To achieve a multi-model ensemble forecastcapability.

Examples Illustrating Research IssuesGulf StreamCoupled physical-biological dynamics studied via compatiblephysical-biological data assimilationCombined feature model and in situ data assimilation in westernboundary currentLigurian Sea and Portuguese CoastMulti-scale real-time forecasting in two-way nested domains –Mini-HOPS: faster time scales, shorter space scales, submesoscale synopticityNew England Shelfbreak FrontEnd-to-End system concept with uncertainties, e.g. sonar systemCoupled physical-acoustical data assimilation with coupled errorcovariances

Gulf StreamBrazil Current

Feature Model

Day 7TemperaturePhytoplanktonPhysical Assim.PhytoplanktonCoupled Assim.Day 10

Conclusions – Compatible Physical/Biological Assimilation Physical data assimilation only – adjustment of the physical fields leads tomisalignment between physical and biological fronts, causing spurious cross-frontalfluxes and consequently spurious biological responses (e.g. enhanced productivity). Biological data assimilation only – little or no feedback to the physics. Physical andbiological fronts become misaligned, causing spurious cross-frontal fluxes andconsequently spurious biological responses (e.g. enhanced productivity). Six-step method:a)b)c)d)e)f) initial estimation of synoptic physical featuresmelding physical data into these fields to obtain the best real-time estimatesphysical dynamical adjustment to generate vertical velocitiesinitial estimation of mesoscale biological fields based on Physical-biological correlationsmelding biological data into these fields, andbiological dynamical adjustment with frozen physical fields to balance the biologicalfields with each other, the model parameters, and the 3-D physical transports.The generation of these fields is done in “adjustment space”, outside of thesimulation of interest (“simulation space”).

Mini-HOPS Designed to locally solve the problem of accuraterepresentation of sub-mesoscale synopticity Involves rapid real-time assimilation of high-resolution data ina high-resolution model domain nested in a regional model Produces locally more accurate oceanographic field estimatesand short-term forecasts and improves the impact of local fieldhigh-resolution data assimilation Dynamically interpolated and extrapolated high-resolutionfields are assimilated through 2-way nesting into large domainmodelsIn collaboration with Dr. Emanuel Coelho (NATO Undersea Research Centre)

MREA-03 Mini-HOPS Protocol Regional Domain (1km) run at Harvard in a 2-way nestedconfiguration with a super-mini domain.– Super mini has the same resolution (1/3 km) as the mini-HOPSdomains and is collocated with them From the super-mini domain,initial and boundary conditionswere extracted for all 3 miniHOPS domains for the followingday and transmitted to the NRVAlliance. Aboard the NRV Alliance, themini-HOPS domains were runthe following day, with updatedatmospheric forcing andassimilating new data.MREA-03 Domains

Mini-HOPS for MREA-03Prior to experiment, several configurations were tested leading toselection of 2-way nesting with super-mini at Harvard During experiment:– Daily runs of regional and super mini at Harvard– Daily transmission of updated IC/BC fields for mini-HOPSdomains– Mini-HOPS successfully run aboard NRV AllianceMini-HOPS simulation runaboard NRV Alliance in Centralmini-HOPS domain (surfacetemperature and velocity)

Mini-HOPS for MREA-04 Portuguese Hydrographic Office utilizing regional HOPS Daily runs of regional and super mini at Harvard Daily transmission of updated IC/BC fields for mini-HOPS domains toNURC scientists for mini-HOPS runs aboard NRV AllianceRegional Domain1km resolutionSuper Mini Domain1/3 km resolution

Coupled Physical-Acoustical Data AssimilationEnd-to-End System Concept Sonar performance prediction requires end-to-end scientificsystems: ocean physics, bottom geophysics, geo-acoustics,underwater acoustics, sonar systems and signal processing Uncertainties inherent in measurements, models, transfer ofuncertainties among linked components Resultant uncertainty in sonar performance prediction itself Specific applications require the consideration of a variety ofspecific end-to-end systems

Coupled discrete state vector x (from continuous φi)x [xA xO]Physics: xO [T, S, U, V, W]Acoustics: xA [Pressure (p), Phase (ϕ)]Coupled error covarianceP ε{(xˆ – x ) ( xˆ – x ) }tt TP Coupled assimilationx x- PHT [HPHT R]-1 (y-Hx-);x- A priori estimate (for forecast)x A posteriori estimate (after assimilation)PAA PAOPOA POOcO

PRIMER End-to-End ProblemInitial Focus on Passive Sonar ProblemLocation: Shelfbreak PRIMERRegionSeason: July-August 1996Sonar System (Receiver): PassiveTowed ArrayTarget: Simulated UUV (withvariable source level)Frequency Range: 100 to 500 HzGeometries: Receiver operating onthe shelf shallow water;target operating on the shelf slope(deeper water than receiver)

Environmental-Acoustical Uncertainty Estimation and Transfers,Coupled Acoustical-Physical DA and End-to-End Systemsin a Shelfbreak EnvironmentNote thefrontVariabilityat the frontWarm/coldevents oneach sideExtremeevents

Starting with physical environmental data, compute thePredictive Probability Of Detection (PPD) from firstprincipals via broadband Transmission Loss (TL) Novel approach: coupled physical-acoustical data assimilationmethod is used in TL estimation Methodology:– HOPS generates ocean physics predictions– NPS model generates ocean acoustics predictions– 100 member ESSE ensemble generates coupled covariances– Coupled ESSE assimilation of CTD and TL measurements

Shelfbreak-PRIMER Acoustic paths considered, overlaid on bathymetry.Path 1: Source: at 300m, 400 Hz Receiver: VLA at about 40 km range, from 0-80m depths

Coupled Physical-Acoustical Data Assimilation of real TL-CTD data:First Eigenmode of coupled normalized error covariance on Jul 26Sound-speedComponentShift in frontal shape(e.g. meander)andBroadband TLComponentits acoustic TLcounterpart abovethe source and in thecold channel on theshelf

Coupled Physical-Acoustical Data Assimilation of real TL-CTD data:TL measurements affect TL and C everywhere.Receivers(VLA)Source

Determination of PPD (Predictive ProbabilityOf Detection) using SNRE-PDFSystems - based PDF (incorporatesenvironmental and system uncertainty)SNRE Signal-to-Noise RatioEnvironmentally InducedUsed by UNITES to characterize and transfer uncertaintyfrom environment through end-to-end problems

PredictedPDF ofbroadbandTL

AfterAssimilationPDF ofbroadbandTL

Coupled HOPS/ESSE/NPS Physics/Acoustics Assimilation Oceans physics/acoustics data assimilation: carried-out as a singlemulti-scale joint estimation for the first time ESSE nonlinear coupled assimilation recovers fine-scale TLstructures and mesoscale ocean physics from real daily TL dataand CTD data Shifts in the frontal shape (meander, etc.) leads to more/less inacoustic waveguide (cold pool on the shelf) Broadband TL uncertainties predicted to be range and depthdependent Coupled DA sharpens and homogenizes broadband PDFs

Integrated Ocean Observingand Prediction SystemsAOSN IIPlatforms, sensors andintegrative models: HOPSROMS real-timeforecasting and re-analyses

Coastal upwelling system:sustained upwelling – relaxation – re-establishmentMonterey Bay and California Current System August 2003Temperature at 10mM1 WindsTemperature at 150m

HOPS AOSN-II Re-Analysis30m Temperature: 6 August – 3 September (4 day intervals)6 Aug10 Aug14 Aug18 Aug22 Aug26 Aug30 Aug3 SepDescriptive oceanography of re-analysis fields and and real-time error fields initiated at the mesoscale.Description includes: Upwelling and relaxation stages and transitions, Cyclonic circulation inMonterey Bay, Diurnal scales, Topography-induced small scales, etc.

HOPS AOSN-II Re-Analysis18 AugustAno NuevoMontereyBayPoint Sur22 August

Which sampling on Aug 26 optimally reduces uncertainties on Aug 27?4 candidate tracks, overlaid on surface T fct for Aug 26 Based on nonlinear error covariance evolution For every choice of adaptive strategy, anensemble is computedIC(nowcast)Aug 24DAESSE fcts after DAof each trackAug 27Aug 26DA 1ESSE for Track 1DA 2ESSE for Track 2DA 3ESSE for Track 3DA 4ESSE for Track 42-day ESSE fctBest predicted relative error reduction: track 1

Error Analyses and Optimal (Multi) Model EstimatesStrategies For Multi-Model Adaptive Forecasting Error Analyses: Learn individual model forecast errors in an on-line fashionthrough developed formalism of multi-model error parameter estimation Model Fusion: Combine models via Maximum-Likelihood based on thecurrent estimates of their forecast errors3-steps strategy, using model-data misfits and error parameter estimation1. Select forecast error covarianceand biasparameterization2. Adaptively determine forecast error parameters from model-data misfitsbased on the Maximum-Likelihood principle:Whereis the observational data3. Combine model forecastsvia Maximum-Likelihood based on the currentestimates of error parameters (Bayesian Model Fusion)O. Logoutov

Error Analyses and Optimal (Multi) Model EstimatesAn Example of Log-Likelihood functions for errorparametersHOPSROMSLengthScaleHOPSROMSVariance

Error Analyses and Optimal (Multi) Model EstimatesTwo-Model Forecasting Examplecombine based on relativemodel uncertaintiesHOPS and ROMSSST forecastLeft – HOPS(re-analysis)Right – ROMS(re-analysis)Model FusionCombined SSTforecastLeft – with a priorierror parametersRight – withMaximumLikelihood errorparameters

Multi-Scale Energy and Vorticity Analysis

Multi-Scale Energy and Vorticity AnalysisMS-EVA is a new methodology utilizingmultiple scale window decompositionin space and time for the investigationof processes which are: multi-scale interactive nonlinear intermittent in space episodic in timeThrough exploring: pattern generation and energy and enstrophy- transfers- transports, and- conversionsMS-EVA helps unravel the intricate relationships between events on differentDr. X. San Liangscales and locations in phase and physical space.

Multi-Scale Energy and Vorticity AnalysisWindow-Window Interactions:MS-EVA-based Localized Instability TheoryPerfect transfer:A process that exchanges energy among distinct scale windows which does notcreate nor destroy energy as a whole.In the MS-EVA framework, the perfect transfers are represented as field-likevariables. They are of particular use for real ocean processes which in nature arenon-linear and intermittent in space and time.Localized instability theory:BC: Total perfect transfer of APE from large-scale window to meso-scale window.BT: Total perfect transfer of KE from large-scale window to meso-scale window.BT BC 0 system locally unstable; otherwise stableIf BT BC 0, and BC 0 barotropic instability; BT 0 baroclinic instability; BT 0 and BC 0 mixed instability

Wavelet SpectraMonterey BayPt. SurSurface TemperaturePt. ANSurface Velocity

Multi-Scale Energy and Vorticity AnalysisMulti-Scale Window Decomposition in AOSN-II ReanalysisThe reconstructed largescale and meso-scalefields are filtered in thehorizontal with features 5km removed.Time windowsLarge scale: 8 daysMeso-scale: 0.5-8 daysSub-mesoscale: 0.5 dayQuestion: How does the large-scale flow losestability to generate the meso-scale structures?

Multi-Scale Energy and Vorticity Analysis Decomposition in space and time (wavelet-based) of energy/vorticity eqns.Large-scale Available Potential Energy (APE)Large-scale Kinetic Energy (KE) Both APE and KE decrease during the relaxation period Transfer from large-scale window to mesoscale window occurs to account fordecrease in large-scale energies (as confirmed by transfer and mesoscale terms)Windows: Large-scale ( 8days; 30km), mesoscale (0.5-8 days), and sub-mesoscale ( 0.5 days)Dr. X. San Liang

Multi-Scale Energy and Vorticity AnalysisMS-EVA Analysis: 11-27 August 2003Transfer of APE fromlarge-scale to meso-scaleTransfer of KE fromlarge-scale to meso-scale

Multi-Scale Energy and Vorticity AnalysisProcess Schematic

Multi-Scale Energy and Vorticity AnalysisMulti-Scale Dynamics Two distinct centers of instability: both of mixed type but different in cause.Center west of Pt. Sur: winds destabilize the ocean directly duringupwelling.Center near the Bay: winds enter the balance on the large-scale window andrelease energy to the mesoscale window during relaxation.Monterey Bay is source region of perturbation and when the wind is relaxed,the generated mesoscale structures propagate northward along the coastlinein a surface-intensified free mode of coastal trapped waves.Sub-mesoscale processes and their role in the overall large, mesoscale, submesoscale dynamics are under study.Energy transfer frommeso-scale window tosub-mesoscale window.

CONCLUSIONS Entering a new era of fully interdisciplinary oceanscience: physical-biological-acousticalbiogeochemical Advanced ocean prediction systems for science,operations and management: interdisciplinary, multiscale, multi-model ensembles Interdisciplinary estimation of state variables anderror fields via multivariate physical-biologicalacoustical data assimilationhttp://www.deas.harvard.edu/ robinson

Advanced Concepts and Research Issues . Biological data assimilation only – little or no feedback to the physics. Physical and biological fronts become misaligned, causing spurious cross-frontal fluxes and consequently spurious bi

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