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1、AREPGAWSection 12Air Quality Forecasting ToolsAREPGAWBackgroundForecasting tools provide information to help guide the forecasting process.Forecasters use a variety of data products, information, tools, and experience to predict air quality.Forecasting tools are built upon an understanding of the pr

2、ocesses that control air quality.Forecasting tools:SubjectiveObjectiveMore forecasting tools = better .au/air/AAQFSAREPGAWBackground Persistence Climatology Criteria Statistical Classification and Regression Tree (CART) Regression Neural networks Numerical modeling Phenomenologica

3、l and experience Predictor variablesFewer resources, lower accuracy More resources, potential for higher accuracyAREPGAWSelecting Predictor Variables (1 of 3) Many methods require predictor variables. Meteorological Air Quality Before selecting particular variables it is important to understand the

4、phenomena that affect pollutant concentrations in your region. The variables selected should capture the important phenomena that affect pollutant concentrations in the region.AREPGAWSelecting Predictor Variables (2 of 3) Select observed and forecasted variables. Predictor variables can consist of o

5、bserved variables (e.g., yesterdays ozone or PM2.5 concentration) and forecasted variables (e.g., tomorrows maximum temperature). Make sure that predictor variables are easily obtainable from reliable source(s) and can be forecast. Consider uncertainty in measurements, particularly measurements of P

6、M.AREPGAWSelecting Predictor Variables (3 of 3) Begin with as many as 50 to 100 predictor variables. Use statistical analysis techniques to identify the most important variables. Cluster analysis is used to partition data into similar and dissimilar subsets. Unique (i.e., dissimilar) variables shoul

7、d be used to avoid redundancy. Correlation analysis is used to evaluate the relationship between the predictand (i.e., pollutant levels) and various predictor variables. Step-wise regression is an automatic procedure that allows the statistical software (SAS, Statgraphics, Systat, etc.) to select th

8、e most important variables and generate the best regression equation. Human selection is another means of selecting the most important predictor variables. AREPGAWCommon Ozone Predictor VariablesVariableUsefulnessCondition for High OzoneMaximum temperatureHighly correlated with ozone and ozone forma

9、tionHighMorning wind speedAssociated with dispersion and dilution of ozone precursor pollutantsLowAfternoon wind speedAssociated with transport of ozone-Cloud coverControls solar radiation, which influences photochemistryFewRelative humiditySurrogate for cloud coverLow500-mb heightIndicator of the s

10、ynoptic-scale weather patternHigh850-mb temperatureSurrogate for vertical mixingHighPressure gradientsCauses winds/ventilationLowLength of dayAmount of solar radiationLongerDay of weekEmissions differences-Morning NOx concentrationOzone precursor levelsHighPrevious days peak ozone concentrationPersi

11、stence, carry-overHighAloft wind speed and directionTransport from upwind region-AREPGAWCommon PM2.5 Predictor VariablesVariableUsefulnessCondition for High PM2.5500-mb heightIndicator of the synoptic-scale weather patternHighSurface wind speedAssociated with dispersion and dilution of pollutantsLow

12、Surface wind directionAssociated with transport of pollutants-Pressure gradientCauses wind/ventilationLowPrevious days peak PM2.5 concentrationPersistence, carry-overHigh850-mb temperatureSurrogate for vertical mixingHighPrecipitationAssociated with clean-outNone or lightRelative HumidityAffects sec

13、ondary reactionsHighHolidayAdditional emissions-Day of weekEmissions differences-AREPGAWAssembling a dataset Determine what data to use What data types are needed and available What sites are representative What air quality monitoring network(s) to use (for example, continuous versus passive or filt

14、er) What type of meteorological data are available (surface, upper-air, satellite, etc.) How much data is available (years)AREPGAWAssembling a datasetAcquire historical data includingHourly pollutant dataDaily maximum pollutant metrics, such asPeak 1-hr ozonePeak 8-hr average ozone24-hr average PM2.

15、5 or PM10Hourly meteorological data Radiosonde data Model data Meteorological outputsMM5/TAPMOtherSurface and upper-air weather chartsHYSPLIT trajectoriesAREPGAWAssembling a datasetQuality control dataCheck for outliersLook at the minimum and maximum values for each field; are they reasonable?Check

16、rate of change between records at each extreme.Time stampsHas all data been properly matched by time?Time series plots can help identify problems shifting from UTC to LST.Missing dataIs the same identifier used for each field? I.e., 999.UnitsAre units consistent among different data sets? I.e., m/s

17、or knots for wind speeds.Validation codesAre validation codes consistent among different data sets?Do the validation codes match the data values? I.e., are data values of 999 flagged as missing?AREPGAW Tool development is a function ofAmount and quality of data (air quality and meteorological)Resour

18、ces for development HumanSoftwareComputingResources for operations HumanSoftwareComputingForecasting Tools and Methods (1 of 2)AREPGAWForecasting Tools and Methods (2 of 2)For each toolWhat is it?How does it work?ExampleHow to develop it?StrengthsLimitationsOzone = WS * 10.2 +AREPGAWPersistence (1 o

19、f 2) Persistence means to continue steadily in some state. Tomorrows pollutant concentration will be the same as Todays. Best used as a starting point and to help guide other forecasting methods. It should not be used as the only forecasting method. Modifying a persistence forecast with forecasting

20、experience can help improve forecast accuracy. MondayTuesdayWednesdayUnhealthyUnhealthyUnhealthyPersistence forecastAREPGAWPersistence (2 of 2) Seven high ozone days (red) Five of these days occurred after a high day (*) Probability of high ozone occurring on the day after a high ozone day is 5 out

21、of 7 days Probability of a low ozone day occurring after a low ozone day are 20 out of 22 days Persistence method would be accurate 25 out of 29 days, or 86% of the time DayOzone (ppb)DayOzone (ppb)18016120*25017110*350188047019805802070610021607110*2250890*235098024701080258011802680127027701380288

22、01490296015110*3070Peak 8-hr ozone concentrations for a sample cityAREPGAWPersistence Strengths Persistence forecasting Useful for several continuous days with similar weather conditions Provides a starting point for an air quality forecast that can be refined by using other forecasting methods Easy

23、 to use and requires little expertiseAREPGAWPersistence Limitations Persistence forecasting cannot Predict the start and end of a pollution episode Work well under changing weather conditions when accurate air quality predictions can be most criticalAREPGAWClimatology Climatology is the study of ave

24、rage and extreme weather or air quality conditions at a given location. Climatology can help forecasters bound and guide their air quality predictions.AREPGAWClimatology ExampleAverage number of days per month with ozone in each AQI category for Sacramento, CaliforniaAREPGAWDeveloping Climatology Cr

25、eate a data set containing at least five years of recent pollutant data. Create tables or charts for forecast areas containing All-time maximum pollutant concentrations (by month, by site) Duration of high pollutant episodes (number of consecutive days, hours of high pollutant each day) Average numb

26、er of days with high pollutant levels by month and by week Day-of-week distribution of high pollutant concentrations Average and peak pollutant concentrations by holidays and non-holidays, weekends and weekdaysAREPGAWDeveloping Climatology Consider emissions changes For example, fuel reformulation I

27、t may be useful to divide the climate tables or charts into “before and “after periods for major emissions changes.FRANKLIN SMELTING & REFINING CORP - Annual Average Lead Concentrations0481216201989199019911992199319941995199619971998199920002001YearMonitoring Sites: Lead (ug/m3)*010002000300040

28、005000600070008000Franklin Smelting: Lead (lbs)MACT RuleMACT CompSite 421010449Site 421010149Franklin Smelting (TRI)*Average Satisfies Completeness RuleMcCarthy et al., 2005AREPGAWClimatology High pollution days occur most often on Wednesday High pollution days occur least often at the beginning of

29、the weekDay of week distribution of high PM2.5 daysAREPGAWClimatologyDistribution of high ozone days by upper-air weather patternAREPGAWClimatology Strengths Climatology Bounds and guides an air quality forecast produced by other methods Easy to developAREPGAWClimatology Limitations Climatology Is n

30、ot a stand-alone forecasting method but a tool to complement other forecast methods Does not account for abrupt changes in emissions patterns such as those associated with the use of reformulated fuel, a large change in population, forest fires, etc. Requires enough data (years) to establish realist

31、ic trendsAREPGAWCriteria Uses threshold values (criteria) of meteorological or air quality variables to forecast pollutant concentrations For example, if temperature 27C and wind 2 m/s then ozone will be in the Unhealthy AQI category Sometimes called “rules of thumb Commonly used in many forecasting

32、 programs as a primary forecasting method or combined with other methods Best suited to help forecast high pollution or low pollution events, or pollution in a particular air quality index category range rather than an exact concentration AREPGAWCriteria Example To have a high pollution day in Julym

33、aximum temperature must be at least 33C, temperature difference between the morning low and afternoon high must be at least 11Caverage daytime wind speed must be less than 3 m/s, afternoon wind speed must be less than 4 m/s, andthe day before peak 1-hr ozone concentration must be at least 70 ppb.Mon

34、thDaily TempMax(above oC)Daily TempRange (above oC)Daily WindSpeed (below m/s)Wind Speed15-21 UTC(below m/s)Day Before Ozone1-hr Max(above ppb)Apr26114370May29114570Jun29113570Jul33113470Aug33113470Sep31103475Oct31103375Lambeth, 1998 Conditions needed for high pollution by monthAREPGAWDeveloping Cri

35、teria (1 of 2) Determine the important physical and chemical processes that influence pollutant concentrations Select variables that represent the important processes Useful variables may include maximum temperature, morning and afternoon wind speed, cloud cover, relative humidity, 500 mb height, 85

36、0-mb temperature, etc. Acquire at least three years of recent pollutant data and surface and upper-air meteorological dataAREPGAWDeveloping Criteria (2 of 2) Determine the threshold value for each parameter that distinguishes high and low pollutant concentrations. For example, create scatter plots o

37、f pollutant vs. weather parameters. Use an independent data set (i.e., a data set not used for development) to evaluate the selected criteria.AREPGAWCriteria Strengths Easy to operate and modify An objective method that alleviates potential human biases Complements other forecasting methodsAREPGAWCr

38、iteria Limitations Selection of the variables and their associated thresholds is subjective. It is not well suited for predicting exact pollutant concentrations.AREPGAWClassification and Regression Tree (CART) CART is a statistical procedure designed to classify data into dissimilar groups. Similar

39、to criteria method; however, it is objectively developed. CART enables a forecaster to develop a decision tree to predict pollutant concentrations based on predictor variables (usually weather) that are well correlated with pollutant concentrations. An example Cart tree for maximum ozone prediction

40、for the greater Athens area.AREPGAWClassification and Regression Tree (CART)Ozone (LowHigh) Moderate toHighModerate toLowTemp lowTemp highWS - strongModerateModerateHighLowWS - calmWS - calmWS -lightAREPGAWCART How It Works (1 of 2)The statistical software determines the predictor variables and the

41、threshold cutoff values byReading a large data set with many possible predictor variablesIdentifying the variables with the highest correlation with the pollutantContinuing the process of splitting the data set and growing the tree until the data in each group are sufficiently uniformAREPGAWCART How

42、 It Works (2 of 2) To forecast pollutant concentrations using CARTs Step through the tree starting at the first split and determine which of the two groups the data point belongs in, based on the cut-point for that variable; Continue through the tree in this manner until an end node is reached. The

43、mean concentration shown in the end node is the forecasted concentration. Note, slight differences in the values of predicted variables can produce significant changes in predicted pollutant levels when the value is near the threshold. AREPGAW TerminalNode 1S TD = 32.881A v g = 88.077N = 78TerminalN

44、ode 2S TD = 38.331A v g = 126.569N = 65Node 2DELTA P = 19.500S TD = 40.311A v g = 105.573N = 143TerminalNode 3S TD = 20.017A v g = 38.250N = 4TerminalNode 4S TD = 41.320A v g = 139.560N = 75TerminalNode 5S TD = 36.222A v g = 183.800N = 75TerminalNode 6S TD = 27.961A v g = 146.676N = 34Node 5FA V G T

45、MP = 17.500S TD = 37.979A v g = 172.220N = 109Node 4MI0 = (1,2)S TD = 42.520A v g = 158.908N = 184Node 3FA V G RH = 13.500S TD = 45.620A v g = 156.340N = 188Node 1T850 = 10.500S TD = 50.165A v g = 134.408N = 331Variables:T850 - 12Z 850 MB tempDELTAP - the pressure difference between the base and top

46、 of the inversionMI0 - Synoptic weather potential (scale from 1-low to 5-high).FAVGTMP - 24-hour average temperature at La PazFAVGRH - 24-hour average relative humidity at La Paz.CART classification PM10 in Santiago, Chile Node xVariable and criteriaSTD = Standard deviation Avg = Average PM10 (ug/m3

47、)N = number of cases in nodeCassmassi, 1999Is the forecasted temperature at850 mb 10.5C?CART Example AREPGAWDeveloping CART Determine the important processes that influence pollution. Select variables that properly represent the important processes. Create a multi-year data set of the selected varia

48、bles. Choose recent years that are representative of the current emission profile Reserve a subset of the data for independent evaluation, but ensure it represents all conditions Be sure variables are forecasted Use statistical software to create a decision tree. Evaluate the decision tree using the

49、 independent data set.AREPGAWCART Strengths Requires little expertise to operate on a daily basis; runs quickly. Complements other subjective forecasting methods. Allows differentiation between days with similar pollutant concentrations if the pollutant concentrations are a result of different proce

50、sses. Since PM can form through multiple pathways, this advantage of CART can be particularly important to PM forecasting.AREPGAWCART Limitations Requires a modest amount of expertise and effort to develop. Slight changes in predicted variables may produce large changes in the predicted concentratio

51、ns. CART may not predict pollutant concentrations during periods of unusual emissions patterns due to holidays or other events. CART criteria and statistical approaches may require periodic updates as emission sources and land use changes.AREPGAWRegression Equations How They Work (1 of 5) Regression

52、 equations are developed to describe the relationship between pollutant concentration and other predictor variables For linear regression, the common form isy = mx + b At right, maximum temperature (Tmax) is a good predictor for peak ozoneO3 = 1.92*Tmax 86.8r = 0.77 r2 = 0.59AREPGAW More predictors

53、can be added (“stepwise regression) so that the equation looks like this: y = m1x1 + m2x2 + m3x3 + mnxn + b Each predictor (xn) has its own “weight (mn) and the combination may lead to better forecast accuracy. The mix of predictors varies from place to place. Regression Equations How They Work (2 o

54、f 5)AREPGAWOzone Regression Equation for Columbus, Ohio8hrO3 = exp(2.421 + 0.024*Tmax + 0.003*Trange - 0.006*WS1to6 + 0.007*00ZV925 - 0.004*RHSfc00 - 0.002*00ZWS500) VariableDescriptionTmaxMaximum temperature in FTrangeDaily temperature rangeWS1to6Average wind speed from 1 p.m. to 6 p.m. in knots00Z

55、V925V component of the 925-mb wind at 00ZRHSfc00Relative humidity at the surface at 00Z00ZWS500Wind speed at 500 mb at 00ZRegression Equations How They Work (3 of 5)AREPGAW The various predictors are not equally weighted, some are more important than others. It is essential to identify the strongest

56、 predictors and work hardest on getting those predictions right.Tmax vs. O3Previous dayO3 vs. O3Wind Speed vs. O3Regression Equations How They Work (4 of 5)AREPGAW In an example case, most of the variance in O3 is explained by Tmax (60%), with the additional predictors adding 15%. Overall, 75% of th

57、e variance in observed O3 is explained by the forecast model. Our job as forecasters is to fill in the additional 25% using other tools.Accumulated explained varianceRegression Equations How They Work (5 of 5)AREPGAWDeveloping Regression (1 of 2) Determine the important processes that influence poll

58、utant concentrations. Select variables that represent the important processes that influence pollutant concentrations. Create a multi-year data set of the selected variables. Choose recent years that are representative of the current emission profile. Reserve a subset of the data for independent eva

59、luation, but ensure it represents all conditions. Be sure variables are forecasted. Use statistical software to calculate the coefficients and a constant for the regression equation. Perform an independent evaluation of the regression model. AREPGAWDeveloping Regression (2 of 2)Using the natural log

60、 of pollutant concentrations as the predictand may improve performance.Do not to “over fit the model by using too many prediction variables. An “over-fit model will decrease the forecast accuracy. A reasonable number of variables to use is 5 to 10.Unique variables should be used to avoid redundancy and

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