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    REF-ET: REFERENCE EVAPOTRANSPIRATION CALCULATION SOFTWARE

    for FAO and ASCE Standardized Equations

    Version 3.1.15 for Windows

    for Windows XP, Vista and Windows 7

    Copyright 1999, 2000, 2001, 2003, 2008, 2013 University of Idaho and Dr. Richard G. Allen

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    ii

    Modifications to REF-ET 3.1, compared to REF-ET 2.0

    REF-ET version 3.1 is an update to REF-ET version 2 and 2.1. Internal calculations have changedvery little. The primary modifications have been:

    1. Calculation of solar radiation and the cloud function in the net radiation calculation for the ASCE

    and FAO Penman-Monteith equations has been modified to more strictly follow the ASCE-E!"#$%%&' standardi(ation #htt)*++www.,imberly.uidaho.edu+water+asceewri+ascest(detmain$%%&.)df'

    $. !EF-E now uses the more com)le estimation )rocedure for clear s,y solar radiation where !so/

    #0b 0d' !a where 0bis a solar beam transmittance coefficient2 0d is a diffuse radiation coefficient

    and !ais eoatmos)heric radiation. his formulation includes the im)acts of ele3ation2 sun an4le

    and atmos)heric water 3a)or content2 and is used in the calculation of net radiation rather than the

    former ele3ation based equation. his more com)le formulation has always been in !EF-E for

    )ur)oses of usin4 it for )ost-run 5A+5C com)arisons with measured !s. 6owe3er2 it is now used in

    the !ncalculations as well.

    7. Enhancement of the 8delimeter9 )arameters that can be used to )arse data columns in the data

    file. For eam)le2 the 8:9 8*9 and other delimeters can now be used. "n addition2 data files that use the8Euro)ean9 system of decimal notation2 where the 8.9 is used as a thousands se)arator and the 829 is

    used as the decimal se)arator #se)aratin4 the whole number )ortion from the decimal )ortion of a

    3alue' can be accommodated. his 4enerally wor,s well2 but not always. Feedbac, when it does not

    wor, is welcomed. he Euro)ean system contrasts with the standard2 American system where the 829

    is used as a thousands se)arator and the 8.9 is used as the decimal se)arator.

    ;. e ha3e added a few more )arameters to the definition file list. Su44estions on additional

    )arameters are welcomed.

    &. here is now more resolution #decimal )laces' in the .out and .in$ files. his should hel) with data

    accuracy and in com)arisons with other calculation )ro4rams.

    .

    Rick Allen, University of Idaho, August 2013

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    TABLE OF CONTENTS

    LIST OF TABLES .................................................................................................................................. v

    LIST OF FIGURES ................................................................................................................................ v

    Reference Evapotranspiration Calculator ............................................................................................. 1

    Reference ET Methods Calculated by REF-ET for Windows Version 3.1 ............................................ 2

    Computation Time Steps ....................................................................................................................... 3

    REF-ET Installation and Computer System Requirements ................................................................... 3

    Disclaimer .............................................................................................................................................. 3

    Distribution and Support Limitations ..................................................................................................... 4

    Example Data Files ............................................................................................................................... 5

    Algorithms Used in the REF-ET Program ............................................................................................. 5

    Reference ET Options ........................................................................................................................... 6

    Equation Requirements ......................................................................................................................... 7Actual Vapor Pressure of the Air .................................................................................................... 7

    Parameter Equations Used in Various Penman Equations ............................................................ 7

    Variations on the ASCE Penman-Monteith Equation in REF-ET .......................................................... 8

    Intermediate Computation Files .......................................................................................................... 11

    Definition File Editor ............................................................................................................................ 11

    Program Operation .............................................................................................................................. 13

    Opening the data file ..................................................................................................................... 14Creating an ASCII data file from a spreadsheet .................................................................... 15

    The definition file of REF-ET ......................................................................................................... 16Specifying Where to Start and Where to Stop Reading a Parameter .......................................... 18

    Other Data File Reading Techniques ........................................................................................... 20

    Data Parameter Definitions ........................................................................................................... 20

    Second Definition File Editor Screen ............................................................................................ 22

    Selecting the Reference Type, Output Options and ET Equations .............................................. 24

    Selection of Reference Equations and Reference Type .............................................................. 26

    Estimation of Missing Data ........................................................................................................... 26

    Soil Heat Flux and Net Radiation Measurements......................................................................... 28

    Other Calculations ........................................................................................................................ 28

    Estimation of the Timestep ........................................................................................................... 28

    Saving the Definition File Data ..................................................................................................... 29

    Processing of the Weather Data File ............................................................................................ 30

    Final Results ........................................................................................................................................ 30

    Graphical Comparisons of Reference ET Estimates .......................................................................... 32

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    ASCE.DAT Example Data File ............................................................................................................ 32

    Examples of Intermediate File 2 and Final Results File ............................................................... 32

    Example of Final Results .............................................................................................................. 37

    Errata to Various Publications ............................................................................................................. 39

    Errata to ASCE Manual 70 that should be noted if using it as a source of equations .................. 39Errata to FAO-56 that should be noted if using it as a source of equations ................................. 39

    References .......................................................................................................................................... 40

    Bibliography (additional sources) ........................................................................................................ 42

    Appendix 1 ASCE and FAO Penman-Monteith Equations and Kimberly Penman equation ............ 43

    Supporting Calculations for the ASCE and FAO Penman-Monteith Methods ............................. 44

    Psychrometric and atmospheric parameters ................................................................................ 45

    Net radiation (Rn) ........................................................................................................................ 51

    Soil Heat Flux Density (G) ............................................................................................................ 53

    Clear-sky solar radiation (Rso ) .................................................................................................... 54

    The Standardized ASCE Penman-Monteith Equation(s) ............................................................. 55

    The FAO-56 Penman-Monteith Equation ..................................................................................... 57Precautions when Comparing the FAO-56 and Standardized ASCE Penman-MonteithEquations to Measured Values .............................................................................................. 58

    The Penman Equation .................................................................................................................. 59The Kimberly Penman Method .............................................................................................. 59The CIMIS Penman Method .................................................................................................. 61Other Penman Methods ......................................................................................................... 61

    Hourly vs. 24-hour Computation Time Steps ............................................................................... 63

    The 1985 Hargreaves-Samani Method ........................................................................................ 64

    Appendix 2 Additional Supporting Equations ..................................................................................... 65

    Dew Point Temperature (Tdew) ................................................................................................... 65

    Short Wave Radiation on a Clear-Sky Day (Rso) ........................................................................ 65

    Extraterrestrial radiation for 24-hour periods (Ra ) ....................................................................... 67

    Extraterrestrial radiation for hourly or shorter periods (Ra ) ......................................................... 69

    Solar radiation (Rs ) ...................................................................................................................... 70

    Daylight hours (N) ......................................................................................................................... 71

    Wind profile relationship ............................................................................................................... 71

    Daylight Savings Time .................................................................................................................. 72

    Appendix 3 Estimating Missing Climatic Data.................................................................................... 73

    Minimum data requirements ......................................................................................................... 73

    Estimating missing humidity data ................................................................................................. 73

    Estimating missing radiation data ................................................................................................. 74Solar Radiation data from a nearby weather station .............................................................. 74

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    Solar Radiation data derived from air temperature differences ............................................. 74Empirical methodology for island locations ............................................................................ 75

    Missing wind speed data .............................................................................................................. 76Wind speed data from a nearby weather station ................................................................... 76Empirical estimates of monthly wind speed ........................................................................... 76

    Estimating Maximum and Minimum Air Temperature from Mean Air Temperature ..................... 77Appendix 4 Converting between Reference Types ............................................................................ 79

    Reference Ratios .......................................................................................................................... 79

    Appendix 5 Weather Data Integrity Assessment ............................................................................... 81

    Solar Radiation ............................................................................................................................. 81

    Net Radiation ................................................................................................................................ 81

    Humidity and Air Temperature ...................................................................................................... 82

    Wind Speed .................................................................................................................................. 82

    Appendix 6 .......................................................................................................................................... 83

    REF-ET Installation and Computer System Requirements .......................................................... 83

    Creating a Shortcut and Screen Icon for REF-ET ........................................................................ 86

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    LIST OF TALES

    Table 1. Reference ET methods calculated by REF-ET.................................................................. 2

    Table 2. Parameter equation numbers, etc. used in the various Penman Equations. .................... 9

    Table 3. Data Parameter Types and units and idenfication numbers used by REF-ET to read weather data. ................................................................................................. 21

    LIST OF FI!"RES

    Figure 1. Introductory screen of REF-ET ........................................................................................... 13

    Figure 2. Dialog box for opening the definition file. ............................................................................ 14

    Figure 3. File open dialog box for the definition file. .......................................................................... 16

    Figure 4. Editing screen for the definition file. .................................................................................... 18

    Figure 5. Second Definition Screen of REF-ET ................................................................................. 23

    Figure 6. Third definition editing screen of REF-ET. .......................................................................... 25

    Figure 7. Screen for describing how to estimate missing weather data. ........................................... 27

    Figure 8. Dialog box for saving the Definition File. ............................................................................ 29

    Figure 9. Dialog box for saving REF-ET results. ................................................................................ 30

    Figure 10. First result file displayed by REF-ET showing skipped data lines. ................................... 31

    Figure 11. Example results from REF-ET that are displayed on the screen. ..................................... 31

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    Reference E#apotranspiration $a%c&%ator

    Version - Windows 3.1.15July 2008, rev. July 2011, August 2013

    Dr. Richard G. AllenUniversity of Idaho Research and Extension Center

    Kimberly, Idaho 83341

    Copyright, 1999, 2000, 2004, 2008, 2013 by University of Idaho and Richard G. AllenAll Rights Reserved

    The REF-ET program provides standardized calculations of reference evapotranspiration1(ET) by fifteen of the more common methods currently in use in the United States. The twoprimary purposes of REF-ET are to:

    1) Provide standardized reference ET calculations that can be compared withother ET computer programs or spreadsheets.

    2) Provide standardized reference ET calculations using data from a wide range ofdata file types, data unit types and timesteps.

    The REF-ET program supports reference ET computation guidelines and procedures thatwere recommended in ASCE Manuals and Reports on Engineering Practice No. 70,"Evapotranspiration and Irrigation Water Requirements" edited by Jensen, et al., (1990) andin the 2005 ASCE Standardized Reference Evapotranspiration Equation by ASCE-EWRI(2005) through efforts by the Committee on Evapotranspiration in Irrigation and Hydrologyof the Irrigation and Drainage Council of the Environmental and Water Resources Instituteof the American Society of Civil Engineers (ASCE). REF-ET provides calculations that arecompatible with United Nations Food and Agriculture Organization (FAO) Irrigation PaperNo. 56 (Allen et al., 1998) and with the standardized forms of the ASCE Penman-Monteithequation and components recommended in 2005 by the ASCE Task Committee on

    1

    Reference evapotranspiration is defined as the ET from an extensive surface of clipped grass or alfalfa that iswell-watered, and fully shades the ground. The clipped grass reference is considered to be a cool-seasongrass variety such as perennial fescue or ryegrass. The FAO-24 publication by Doorenbos and Pruitt (1977)suggested that the clipped grass surface be maintained at 8 to 15 cm in height. FAO-56 has suggested that thereference definition for clipped grass be fixed at 12 cm height for computational and definition purposes. TheFAO-56 Penman-Monteith equation has been recommended by FAO to represent the definition of the grassreference (albedo = 0.23, height = 0.12 m, surface resistance = 70 s/m). The alfalfa reference is generallyconsidered to occur from alfalfa that is greater than 0.30 m in height and that has full ground cover. The ASCEManual 70 (Jensen et al., 1990) and ASCE-EWRI (2005) standardization on calculation of referenceevapotranspiration has suggested fixing the height of the alfalfa reference at 0.5 m and clipped grass referenceheight at 0.12 m for computational and definition purposes.

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    Standardized Evapotranspiration Calculations. Version 3.1 is completely compatible withthe ASCE-EWRI (2005) standardization for both the grass and alfalfa references and forhourly (or shorter), daily and monthly calculation time steps.

    Reference ET Met'ods $a%c&%ated () REF-ET for *indo+s ersion 3.1

    Table 1. Reference ET methods calculated by REF-ET.Ref.

    Method Timesteps Type

    a) full ASCE Penman-Monteith with resistances by Allen et al, 1989 (M, D, or H)**

    ETo ETr

    b) full ASCE Penman-Monteith with user supplied surf. resistance (M, D, or H)*

    ETo ETr

    c) Standardized form of the ASCE Penman-Monteith by ASCE 2005 (M, D, or H)*

    ETo ETr

    d) 1982 Kimberly Penman (Wright, 1982; 1987; 1996) (M, D, or H)* ETo ETr

    e) FAO 56 Penman-Monteith (1998)1with resistance for 0.12 m grass (M, D, or H)*

    ETo

    f) 1972 Kimberly Penman (fixed wind func.) (Wright & Jensen 1972) (M, D, or H)* ETr

    g) 1948 or 1963 Penman (Penman, 1948; 1963) (M, D, or H) ETo

    h) FAO-24 Corrected Penman (Doorenbos and Pruitt, 1975, 1977) (M or D) EToi) FAO-PPP-17 Penman (Freres and Popov, 1979) (M or D) ETo

    j) CIMIS Penman (hourly only) with FAO-56 Rnand G=0 (H) ETo

    k) FAO-24 Radiation Method (Doorenbos and Pruitt, 1975, 1977) (M or D) ETo

    l) FAO-24 Blaney-Criddle (Doorenbos and Pruitt, 1975, 1977) (M or D) ETo

    m) FAO-24 Pan Evaporation Method (Doorenbos and Pruitt, 1977) (M or D) ETo

    n) 1985 Hargreaves Temperature Method (Hargreaves and Samani) (M or D) ETo

    o) Priestley-Taylor (1972) Radiation and Temperature Method (M or D)*

    ETo

    p) Makkink (1957) Radiation and Temperature Method (M or D)*

    ETo

    q) Turc (1961) Radiation and Temperature Method (M or D)*

    ETo

    *M = Monthly calculation time step; D = Daily (24-hour) calculation time step; H = Hourly or shorter time step.Equations h, I, and k-q are limited to monthly or daily calculation time steps due to the nature or form ofthe equations or parameters required. ETorefers to grass reference ET (e.g., short reference) and ETrrefers

    to alfalfa reference ET (e.g., tall reference). The specific methods that are used to calculate net radiation, soilheat flux, resistances, etc. for each method are described in a later section of this manual.1In version 3.1, the hourly form of the FAO-56 PM for grass ETo was updated to use the lowered surface

    resistance, rs, of 50 sm-1 recommended for hourly or shorter time steps by Allen et al., 2005

    2. This update

    causes the FAO-56 ETo calculations to be the same as those for the ASCE standardized ETo (method c

    above).

    The REF-ET program is designed to read weather data from any ASCII (regular text) datafile. REF-ET can also read data for measured ET from the same data file, for example ET

    data measured from a lysimeter. The latter data may be useful for comparing withcalculated ET. REF-ET can be conveniently instructed to read any type of text data format,including unformatted data from an ASCII file where data are separated by spaces,commas, tabs, colons or slashes. The format of the weather data file is defined using a filedefinition procedure that is built into the REF-ET program. This file definition procedure

    2Allen, R.G., W.O. Pruitt, J.L. Wright, T.A. Howell, F. Ventura, R. Snyder, D. Itenfisu, P. Steduto, J. Berengena,

    J. Baselga Yrisarry, M. Smith, L.S. Pereira, D. Raes, A. Perrier, I. Alves, I. Walter, R. Elliott. 2005. Arecommendation on standardized surface resistance for hourly calculation of reference ETo by theFAO56 Penman-Monteith method. Agricultural Water Management. 81:1-22.

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    creates a "definition file that contains information describing the data format and order ofdata within the specific data file and the types of measurement units. The definition file alsocontains supplementary weather site information including the heights of anemometer andtemperature sensors, weather station elevation, the location latitude and longitude, defaultday/night wind ratio, etc. The definition file for REF-ET includes the selection of the specificreference ET equations and reference type that the user desires to calculate.

    $omp&tation Time Steps

    REF-ET can compute reference ET on monthly, daily, or hourly (or shorter) time steps.Monthly and daily computations are presented as mm/day or inches/day and computationsfor time steps that are shorter than 24-hours are presented as mm/hour or inches/hour.Hourly computations (or computations for other periods shorter than 24-hours) arepresented for the Penman-Monteith, 1982 Kimberly Penman, CIMIS, and 1963 Penmanequations only. REF-ET automatically determines the proper time step to use forcomputations from the data file. The day of the year or Month and Day of Month must beread for each line of the data file (even for hourly data), as this information is needed tocompute extraterrestrial radiation, net radiation, and wind function parameters in theKimberly Penman equation.

    REF-ET Insta%%ation and $omp&ter S)stem Re&irements

    REF-ET for Windows is written in Visual Basic Version 6.0, Professional Edition. REF-ETruns on computers that have Windows XP, Vista or Windows 7 operating systems. Thescreen resolution must be set to 800 x 600 or higher3. Screen resolutions of 640 x 480 willnot show the entire REF-ET data screens. Please refer to Appendix 6 for installationinstructions.

    isc%aimer

    NOTE: Neither the American Society of Civil Engineers, the United Nations Food andAgriculture Organization, the University of Idaho, nor the author of REF-ET (R.G. Allen)accept any liability for errors or incorrect results from the REF-ET program nor anyproblems associated with installation of the software onto the users computer system. Thesoftware should rarely produce any computational errors. However, given the wide varietyof data files and data types that will be used with the program, no assurances can be given.

    The REF-ET program includes commonly used algorithms and assumptions required inestimating reference ET. However, application of the REF-ET program to variouscombinations or types of data may occasionally violate assumptions or may requireextrapolation beyond endpoints of algorithms, resulting in incorrect ET and parameter

    estimates. Therefore the user of this software assumes all responsibility and reliability foraccuracy and correctness of estimates.

    3Some computer screens that are running in 800 x 600 mode may need to have the normal fonts option

    selected in the Windows operating system in order for all REF-ET screens to display fully. This is done byselecting (from the Windows screen in XP): Start Control Panel. In the Control Panel window double click onthe Display icon. Select the Settings menu tab (On the Settings menu you can change the screen size). Thenselect the Advanced button. On the Advanced window, under the General menu tab, select Normal Size fromthe DPI item. Press OK twice.

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    E/amp%e ata Fi%es

    Example data files have been included in the installation package or separately in thedownloadable Examples.zip file. These data files are useful for verifying correct executionof the REF-ET program and to serve as examples of program execution and results.Example files include:

    ASCE.DAT The average monthly data set used in Chapter 6 of the ASCE Manual 70"Evapotranspiration and Irrigation Water Requirements" by Jensen et al.,(1990). This file provides calculations of average monthly alfalfareference ET that are similar to those presented in Chapter 6 of theASCE manual 70 for the month of July at Kimberly, Idaho.

    KIMB6971.DAT Average monthly data set for Kimberly, Idaho used in the analysis inChapter 7 of ASCE Manual 70 (Courtesy of J.L. Wright). Average ofyears 1969-71.

    KIMWSA85.DAT Daily weather data from the National Weather Service station at

    Kimberly, Idaho. This example shows how month, day and year can beparsed from each other via the definition file.

    LOGAN90H.DAT 30-minute weather and lysimeter data for August 16-19, 1990 at Logan,Utah in old Campbell Scientific Inc. data logger format, where data foreach period may reside on multiple lines in the file.

    FAO56x17.dat The montly ETocalculation example 17 from FAO-56 (1998)

    FAO56x18.dat The daily ETocalculation example 18 from FAO-56 (1998)

    FAO56x19.dat The monthly ETo

    calculation example 19 from FAO-56 (1998)

    Ashton_ID_Agrimet_hourly.dat hourly data for a complete year from the USBRAgrimet weather system.

    The example data files have associated definition files that are titled ASCEEX.DEF,ASCEEX.DEF, KIMB6971.DEF, KIMWSAW.DEF, LOGAN90HWT.DEF, FAO56x17.DEF,FAO56x18.DEF, FAO56x19.DEF and Ashton_ID_Agrimet.def. These definition files (.DEF) were created by REF-ET version 3.1 and are read and used by the REF-ET programto indicate the format and measurement units of weather data contained in the associateddata files.

    A%orit'ms "sed in t'e REF-ET roramThe basic algorithms and routines used in REF-ET are taken from ASCE Manuals andReports on Engineering Practices No. 70, "Evapotranspiration and Irrigation WaterRequirements" (Jensen, et al., 1990), from Allen et al., (1994b), from FAO-56 (Allen et al.,1998), and from the 2005 report on Standardization of Reference EvapotranspirationCalculations compiled by the ASCE Committee on Evapotranspiration in Irrigation andHydrology.

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    Standardization. The algorithms used for the ASCE forms of the Penman-Monteithequation attempt to adhere exactly to the 2005 standardization. In the case of the FAO-56Penman-Monteith equation, the 24-hour timestep applications adhere exactly to the FAO-56 (Allen et al. 1998) publication. In the case of hourly or shorter time steps, however, the

    surface resistance parameter has been reduced to 50 sm-1during daytime and increasedto 200 sm-1 during nighttime to conform to recommendations by Allen et al. (2005) (seefootnote 1 above). The computation of the cloudiness function (using the ratio of Rs/Rso) in

    the net radiation calculation uses guidelines from ASCE-EWRI (2005) and the ASCE-EWRIET committee (2009 meeting) for the ASCE and from FAO-56 publication for the Penman-Monteith applications. Differences in clear sky solar radiation calculations between the twostandardizations does cause small differences in estimated net radiation and reference ET.

    Some of the ASCE-EWRI (2005) algorithms deviate from those of Chapter 6 and Chapter 7of the ASCE Manual 70. Appendix A of this users manual lists the specific equation formsfor the Penman and Penman-Monteith equations and for the supporting intermediateparameters. Specific items to note for REF-ET are:

    1) Unless the height of vegetation is specified in the data file for each line of data, thevalue for d (zero-plane displacement) used in the ASCE Penman-Monteith method isestimated as 0.67 times the height of the weather measurement surface (Eq. 6.22 inManual 70) in order to account for the effect of the height of the measurementvegetation on the resulting wind profile (see equation 2 in Appendix 1 and Equation 2-27 in Appendix 2). The example in Chapter 6 of Manual 70 used 0.667 times theheight of the reference crop (alfalfa). In REF-ET, if the height of vegetation for theweather measurement site is not entered (i.e., it is set to zero), then d will becalculated as 0.67 times the height of the reference crop (grass or alfalfa) beingcalculated.

    2) The correction factor c for the FAO-24 Penman and the a and b coefficients for theFAO-24 Blaney-Criddle and Radiation methods and the Kpfactor for the FAO-24 pan

    method are computed using regression equations developed by Allen and Pruitt(1991). These regressions are presented in Appendix E of Manual 70 and are differentfrom those by Frevert et al (1983) used in the examples of Chapter 6 of manual 70.REF-ET places limits on values of regression parameters equal to those set by FAO 24(see Allen and Pruitt (1991) or Appendix E, Manual 70).

    Reference ET Options

    REF-ET provides the option of computing either grass (short reference) or alfalfa (tallreference) ET reference estimates. For the ASCE Penman-Monteith equation, differentalgorithms are used for leaf area index (LAI) and bulk stomatal resistances (Allen et al,

    1989, Jensen et al., 1990), depending on the type of ET reference (see Eq. 5 and 6 inAppendix 1). If the height of the crop or reference vegetation (for example, as occurring in alysimeter) is read for each hour, day or month from the data file, then these heights willoverride the standard reference height that is specified in the definition file. All height, LAIand resistance parameters are fixed in the ASCE Standardized Penman-Monteith equationthat is one of the equation options in REF-ET.

    For all grass reference equations other than the ASCE Penman-Monteith equation, alfalfareference ETr is calculated by multiplying by a user specified reference ratio ET r/ETo.

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    Grass reference ETois calculated for all alfalfa reference equations (other than the ASCE

    Penman-Monteith and the Kimberly Penman equations) by dividing by the user specifiedreference ratio ETr/ETo. In the case of the Kimberly Penman equation, a special grass wind

    function is used for estimating grass ETo(Wright, 1996) and a special alfalfa wind function

    is used for estimating alfalfa ETr. In the case of the ASCE Penman-Monteith equation,

    specific resistance parameters are used for each reference type.

    Usually an alfalfa to grass reference ratio of 1.25 should be used for arid or semiaridclimates and a ratio of about 1.10 to 1.15 should be used for humid climates. However, thereference ratio may range from 1.10 to 1.35, depending on the grass type, height, andclimate. An equation for estimating a reference ratio as a function of climate is given inAppendix 4-1 of Appendix 4. A value of 1.15 was used in Chapter 6 of Manual 70 (Jensenet al., 1990). That value is considered to be too small.

    E&ation Re&irements

    Specific algorithms used with the various Penman equations are listed in Table 2 later in

    this users manual. The equation reference numbers refer to equations presented inAppendices 1 4 of this manual.

    The FAO-56 Penman-Monteith method and associated intermediate parameters arecomputed as presented in FAO-56 (except for a smaller surface resistance of Allen et al.(2005) used for hourly calculations). The method for computing Rn for the FAO-56 PM,

    referred to as Rn FAO-56 uses equations 24, 25, 26 and albedo = 0.23 as indicated in

    Table 2.

    Act&a% apor ress&re of t'e Air

    Actual vapor pressure of the air, ea, is computed in a number of ways, as indicated in Eq.

    17 22 of Appendix 1. Ordinarily, only one type of vapor pressure information (i.e., eitherdewpoint temperature, relative humidity, vapor pressure, or wet bulb/dry bulb temperature)should be read into REF-ET. This is done by limiting the specific columns of data that areread by REF-ET from the data file. Unnecessary or unwanted data columns can beskipped over by the REF-ET program, as explained in a later section that describes thecreation of the definition file.

    When two or more types of humidity information are read into REF-ET, then the programmust decide which particular information to use in computing ea. For example, if both

    dewpoint temperature and relative humidity are read in, REF-ET must decide on whichparameter to use in a Penman or Penman-Monteith equation. Therefore, a priority systemhas been built into REF-ET that computes e

    a

    in order of priority, unless a higher priority

    component is missing for that day or hour. The priority order is listed near the end ofTable 2.

    arameter E&ations "sed in ario&s enman E&ations

    Table 2 lists the various parameter equation numbers used in the Penman Equations.These numbers refer to equations listed in the middle section of this manual and in theappendices.

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    ariations on t'e AS$E enman-Monteit' E&ation in REF-ET

    There are four entries in REF-ET3 for the Penman-Monteith equation as shown in Table 1.The first two entries shown in Table 1 are both for the full ASCE-PM equation. The firstentry utilizes the standard aerodynamic resistance, Leaf area index and surface resistancerelationships for grass and alfalfa reference crops that were reported by Allen et al., (1989)and listed in ASCE Manual 70. The second entry uses the same aerodynamic relationshipsas the first entry, but it uses values of surface resistance that are entered by the user. Thisis explained in detail later.

    The FAO-56 PM equation is a simplified form of the ASCE PM equation that is applied to a0.12 m tall grass reference crop and has simplifications regarding latent heat ofvaporization, air density, and aerodynamic resistance. In the same manner, the ASCEstandarized forms of the ASCE Penman-Monteith equation utilize these same types ofsimplications and are applied to both grass and alfalfa references. The standardized ASCEPenman-Monteith equation for grass is identical to the FAO-56 PM equation.

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    Table 2. Parameter equation numbers, etc. used in the various Penman Equations.

    ASCE Full

    Penman-Monteith

    ASCEStandardized

    Penman-Monteith

    FAO-56Penman-Monteith

    1963Penman

    FAO-24CorrectedPenman

    1982, 1996KimberlyPenmans

    CIMISPenman

    w/FAO56 Rn

    14 14 14 14 14 14 14

    13 FAO-56-13 FAO-56-13

    13 13 13 13

    7 = 2.45MJ/kg

    = 2.45MJ/kg

    7 7 7 7

    P 9b 9b 9b 9b 9b 9b 9b

    =0.23 =0.23 =0.23 =0.23 =0.25 46 =0.23

    Rn 24, 25, 26 24, 25, 26 24, 25, 26 24, 25,26

    24, 25, 42,Tmean4

    24, 25, 42-45

    24, 25, 26

    G 28, 30, 32,33

    28, 30, 32, 33 28, 30, 32,33

    28, 30,32, 33

    28, 30, 32,33

    46, 30, 32,33

    G=0

    Rso 35 day,2.6-2.9night

    35 day, 2.6-2.9 night

    35 day,2.6-2.9night

    35 day,2.6-2.9night

    35 day,2.6-2.9night

    35 day,2.6-2.9night

    35 day, 2.6-2.9 night

    u2 Uses uz 2-27 2-27 2-27 2-27 2-27 2-27

    rs 3 Eq. 3, 5 areembedded inEq. 36, see

    Table A-1, rs

    hourly valuesare smallerthan daily

    Eq. 3, 5are

    embeddedin Eq. 37,

    38

    n/a n/a n/a n/a

    ra 2 Eq. 2 isembedded inEq. 36, Table

    A-1 forh=0.12m,

    h=0.5 m

    Eq. 2 isembeddedin Eq. 37,

    38 forh=0.12m

    n/a n/a n/a n/a

    LAI 5, 6 Eq. 5 isembedded inEq. 36, Table

    A-1 forh=0.12m,

    h=0.5m

    Eq. 5 isembeddedin Eq. 37,

    38 forh=0.12m

    n/a n/a n/a n/a

    11 embedded inEq. 36, Table

    A-1

    embeddedin Eq. 37,

    38

    n/a n/a n/a n/a

    Tkv 12 embedded inEq. 36, Table

    A-1

    embeddedin Eq. 37,

    38

    n/a n/a n/a n/a

    es 16 16 16 eo

    (Tmean) e

    o

    (Tmean) 16 16ea order of preference is 17, 18, 20, 21, 22

    EToor ETr 1 36, TableA-1

    37, 38 39 39 39-41 39

    Numbers in cells refer to equations listed in Appendix 1.

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    The variations on the ASCE Penman-Monteith equation are described as follows:

    (1) full ASCE Penman-Monteith using resistance equations by Allen et al, (1989)isthe standard, classical ASCE PM equation that uses resistance terms as describedin Allen et al., (1989) and in ASCE Manual 70. In this equation, rsis computed from leaf

    area index (LAI), which in turn is computed from the height specified for the reference

    type (grass or alfalfa). Different algorithms for LAI are used depending on referencetype. The value of rs(and ra) will change in this standard ASCE method with height

    specified for the reference. The values for rsfor 24-hour timesteps, based on the ASCE

    LAI algorithms, are rs= 70 s m-1for 0.12 m tall grass and rs= 45 s m

    -1 for 0.5 m tall

    alfalfa. The values for rsfor hourly or shorter timesteps are rs= 50 s m-1for 0.12 m tall

    grass and rs= 30 s m-1 for 0.5 m tall alfalfa during daytime hours and rs= 200 s m

    -1for

    both 0.12 m tall grass and 0.5 m tall alfalfa during nighttime hours. These values arevaried according to the value for LAI when vegetation heights are specified differentlythan 0.12 and 0.5 m.

    (2)full ASCE Penman-Monteith with user supplied resistanceis the same as number1, except that different values for 24-hour, daytime and nighttime surface resistance, rs,

    can be specified by the user on one of the definition menus (Fig. 5). These specificvalues are then varied within REF-ET if the reference vegetation height, if read from thedata file during each time step, varies from the height specified on the definition menushown in Fig. 5 (see Kim6971.dat example).

    (3)Standardized form of the ASCE Penman-Monteith equation by ASCE (2005)is thestandardized form of the ASCE PM equation specified by the ASCE TechnicalCommittee on Evapotranspiration in Irrigation and Hydrology. This equation has a formidentical to that of the FAO-56 Penman-Monteith equation, but is applied to both alfalfaand grass reference types. For alfalfa, a height of 0.5 m is used in the ASCE resistance

    algorithms and for grass, a height of 0.12 m is used in the resistance algorithms. Theheight of the reference is fixed in the standardized form of the ASCE PM equations and

    can not be varied. For grass ETo, rsis fixed at 70, 50, and 200 s m-1for 24-hour,

    hourly daytime, and hourly nighttime periods. For alfalfa ETr, rsis fixed at 45, 30, and

    200 s m-1for 24-hour, hourly daytime, and hourly nighttime periods. Net radiation, Rnis

    computed using the FAO-56 procedure and a fixed value for latent heat of vaporization,= 2.45 MJ/kg. The values for rsdo not change within the standardized form of the

    ASCE PM equation. They are fixed.

    (4)FAO 56 Penman-Monteith equation (1998) for 0.12 m grass. The FAO-56 PMmethod uses the FAO-56 Rnand a fixed value for latent heat of vaporization, = 2.45

    MJ/kg. The equation has incorporated a fixed height for a clipped grass equal to 0.12 mthat implies a specific roughness height and a surface resistance of 70 s m-1. When thewind, temperature and humidity measurement heights are presumed to be at 2 m abovea 0.12 m tall grass, the aerodynamic resistance, rabecomes ra= 208/u2where u2is

    wind speed in m s-1. For consistency, a fixed value for = 2.45 MJ/kg is used tocompute the pyschrometic constant, . Because of the fixed height and resistances, theFAO-PM equation is limited to the calculation of grass reference ETo. Following FAO-

    56, the value for rsis fixed at 70 s m-1for both 24-hour and hourly time-steps.

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    Intermediate $omp&tation Fi%es

    The REF-ET program has the option of creating disk files of intermediate parametercalculations, for example computation of net long wave radiation, Rn, , , etc. This option

    is useful in checking through program calculations and for comparisons with intermediatecalculation results from other ET programs. There are two intermediate files that can becreated by REF-ET. The first intermediate file echoes the values of data parameters readfrom the original file, to allow the user to verify correct parameter format definition and toinsure that the data file is being read properly. The second intermediate file lists a numberof intermediate parameters calculated within REF-ET that are required for final ETcomputations. Examples of this file are included in the appendix. Units in the secondintermediate file (this file has an extension of .in2) can be in SI or English units,depending on the selection by the user.

    efinition Fi%e Editor

    REF-ET creates and uses a definition file to help describe the layout and type of weatherdata that are contained in the specific data file to be read by the program. REF-ET includesa built-in editor for creating the data definition file in a straightforward manner. Thedefinition file editor allows the user to view lines of the data file in order to determine theformat of the data while building the format definition file. More detailed information on thecontent and creation of the data definition file is included later on in this document.

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    roram Operation

    Specific steps to operate the REF-ET program are:

    1. To operate REF-ET, the program is launched from the Windows Explorer by doubleclicking on the REF-ET3.EXE file name. Or, if REF-ET has been installed using theSetup.exe procedure, REF-ET can be started by selecting the Windows Start button,then pressing Programs and selecting REF-ET from the list of installed programs. Ashortcut icon can be created for REF-ET that can be placed on the Windows screen.

    Note (new in 2013): REF-ET can now be run in batch mode via the commandline. See Appendix 7.

    When REF-ET launches, it will display a title and credit screen that will then change to asecond beginning screen that is shown in Fig. 1

    The user can press the About Ref-ET button to view information on the objective ofREF-ET and on how to procure an official, registered copy of the software. The userpresses the button Proceed to begin program operation.

    Figure 1. Introductory screen of REF-ET

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    Openin t'e data fi%e

    2. When REF-ET begins operation, it displays a dialog window for opening the data file, asshown in Fig. 2. This is a standard Windows file opening dialog box. The user canchange the folder in the Look in window to direct REF-ET to the folder that containsthe weather data file. A list of all .dat files is displayed for the current folder. Othertypes of files (txt, csv, or *.*) can be displayed by changing the information listed in theFiles of type window near the bottom of the box. The user can click on the name of adisplayed file to enter the name into the File name window, or he/she can type thename of the file to open in the File name window, or the user can merely double clickon the name of a file that is displayed. Pressing cancel will terminate REF-ET.

    The data file contains weather data measurements from which reference ET will becomputed. The data file can be any ASCII (flat) file, including a csv file created by aspreadsheet. The weather data parameters do not need to be in any specific order inthe file, as long as each line of data is consistent in its order. Data items in each dataline can be separated by blanks (spaces), tabs, commas, colons or slashes. The

    columns of data do not need to be formatted. REF-ET will figure out when one dataitem ends and the next begins. When two parameters are listed in the data file side byside (i.e., with out any space between them), then REF-ET can be instructed toseparate these parameters by specifying the first and last column for each of theadjoining data items. In this case, the data file should be formatted so that the dataitems are in the same columns for each line of data.

    One time-period of data (one time-step) can extend over multiple lines. REF-ET can beinstructed to read multiple lines for each time-step by specifying that a line-feed occursin or for the data line.

    Figure 2. Dialog box for opening the definition file (shown for the XP operating system).

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    Creating an ASCII data file from a spreadsheet

    If data are in a spreadsheet, an ASCII data file (.dat or csv) can be created for the weatherdata by opening the spreadsheet and saving the spreadsheet as a csv (comma separatedvalues) file using the file save as option of the spreadsheet. This will create a new filehaving the .csv extension and the new file will be an ASCII (or text) file where all data

    columns are separated by commas. Note that only a single sheet of a spreadsheet can besaved this way. Also, the amount of significant digits shown for values may depend on theformatting used in the spreadsheet (as viewed on the screen). This depends on thespreadsheet.

    An alternative way of creating an ASCII (or text) data files is by pasting the data from thespreadsheet into WordPad and then saving it as a text file. It is OK to include columnheadings in the block since these can be ignored when the file is read by REF-ET. Oncethe block has been highlighted (marked) in the spreadsheet, select Edit Copy from themenu bar of the spreadsheet to temporarily copy the block into the Windows clipboard.Then, open the Windows WordPad editor (by pressing the Windows Start button andselecting Programs and then Accessories and then WordPad). Once WordPad is open,

    you can select Edit Paste from the menu bar of WordPad to paste the weather data intoWordPad.

    After the weather data have been pasted into WordPad, the new data file is created byselecting File SaveAsfrom the menu bar of WordPad. After selecting the folder into whichto place the data, the name of the data file should be specified as ---------.dat where --------is to be filled in by the user. In addition, the Save as type window should be selected sothat the file type is Text Document. The Text Document file type is the same as ASCII.Then press the Save button. After the ASCII data file has been created using WordPad,it can be read by REF-ET as a data file.

    In the case of csv files created from a spreadsheet, all columns in the file will be comma

    delimited data. In other words, all values will be separated by commas. In the case oftext files created from WordPad, all columns in the file will be tab delimited data. In otherwords, all values will be separated by tabs. Therefore, when the REF-ET definition file iscreated, as described in the next section, no beginning or ending column numbers need tobe specified by the user, since REF-ET will recognize that the data are separated bycommas or tabs. Any blank columns in the spreadsheet will be represented in theWordPad data file as an extra comma or tab. However, REF-ET can be instructed to ignorethis extra comma or tab delimiter, and to go on to the next data item. Therefore, theprocess just described can essentially delete empty columns that were in the spreadsheetas far as REF-ET is concerned. The user will need to experiment to insure that the data filethat is created is read properly by REF-ET. This can be done by viewing the .IN1intermediate file that can be created by REF-ET as described in a later section. The IN1 file

    contains an echo of the data as read in by REF-ET. This is all covered later.

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    Figure 3. File open dialog box for the definition file (shown for the XP operating system).

    T'e definition fi%e of REF-ET

    Now, back to REF-ET:

    3. After the data file has been selected via figure 2, REF-ET will present a similar dialogbox for opening the definition file, as shown in Fig. 3 below. Again, the user canchange the folder name in the Look in window to change the folder. A definition file isrequired for each data file so that REF-ET knows the order of data parameters in thedata file and their units. If a definition file has never been created for the particular datafile that is to be processed, then the user should type a new name for the definition filein the File name box and press the Open button. If a previously created definition fileis available that describes the order, format and units of the data file, then thispreviously created definition file can be opened and used again. It can later be savedunder a new name if desired. Definition files that were created by previous versions ofREF-ET (REF-ET DOS versions 2.0 or higher and REF-ET Windows 1.0 and 2.0versions) can be read by REF-ET3. However, additional information will need to beadded by the user. In addition, when the modified definition file is saved by REF-ET forWindows, it may no longer be readable by previous versions of REF-ET. Therefore, theuser may wish to use a new name when saving the edited definition file, as describedlater.

    If the definition file has not been previously created, or if it can not be found, then REF-ET will display an error message and will ask the user to confirm that he/she wishes tocreate a new definition filehaving the name that has been specified. The user shouldrespond OK. if this is the case. Otherwise, the user can correct the name specified forthe definition file.

    4. After the definition file name has been selected or created, the user will be presentedwith a definition file editor dialog box that looks like the box presented in Fig. 4. Ifthe definition file is being created, then the box shown in Fig. 4 will be empty ofinformation in the upper left and lower parts. If the definition file is one that waspreviously created by REF-ET during a previous run, then information should appear inthe green upper left hand corner of the editor box as shown in Fig. 4.

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    The upper left-hand part of Fig. 4 contains the information that describes the a) orderb) location and c) units of the weather parameters that are to be read from the weatherdata file. For example, in the example that is in Fig. 4, REF-ET will read parametersmonth, day of month, maximum daily temperature in F, minimum daily temperature in F,dewpoint temperature in F, 24-hour wind speed in km/day, solar radiation in caloriescm2 day-1.and pan evaporation and a lysimeter (i.e., ET) measurement in mm day-1.

    Additional parameters to be read from the file can be viewed by scrolling the scroll barsto the right of the green area.

    There are four columns in the upper left-hand description area. The first column is aspecific number code that describes the type of parameter and units of measurement.This number is selected by the user from the list of parameters that is in the upper righthand of Fig. 4. The parameter list has about 88 parameters (see Table 3). The list canbe scrolled up and down. A specific parameter can be selected by first selectingcolumn 1 of the appropriate row in the green area of the upper left-hand descriptionarea and then finding the appropriate parameter and measurement units in the upperright hand Parameter Identification area and double clicking on the name of theparameter. The parameter number will be inserted into the upper left-hand description

    area and the full description of the parameter will be inserted into column (Fig. 4).

    The bottom half of the screen shown in Fig. 4 displays a window that displays contentsof the data file. This is useful when the user needs to determine starting and stoppingcolumns for a specific data parameter. The numeric headings at the top of the data filearea indicate the specific column number for each column within the data file. Thisviewing window can be scrolled to the left and right and up and down, as necessary. Ifthe parameters (columns) in the data file happen to be separated by tabs, then thesetabs will show up as small vertical bars in the data file window. In this situation, theuser should not specify beginning and ending columns for data parameters, since theyare separated by tabs in the data file. REF-ET will determine how to identify andseparate the data items. If a data item needs to be skipped, then the user can insert a

    Dummy or skip variable as described later.

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    Figure 4. Editing screen for the definition file.

    Specif)in *'ere to Start and *'ere to Stop Readin a arameter

    Under most circumstances, weather data parameters that are contained in a data file areseparated by blanks, commas or tabs. In these situations, and where all data columns areto be read from the data file, REF-ET is able to determine, automatically, where eachcolumn of data lies. Therefore, the user does not need to specify any beginning or endingcolumn numbers in the beg col and end col columns in the upper left-hand of Fig. 4. Theuser can specify which delimeters are used to separate data values in the data file in the

    bottom section of Figure 4. Delimeters can be a space or spaces, tabs, commas, decimalpoints (.), slashes (/), vertical slashes (|) or colons (:). Spaces are automatically assumedto be delimeters. The other delimeters are selected by checking the box by each delimetertype in Figure 4. The user also has the option is specifying whether two delimeters back toback (for example, two commas in a row ,,) should be treated as a single delimeter. Ifthis option is not selected, then the two delimeters will assume to be separating the valuezero. In addition to selecting delimeters, the user can opt to use the European formattingsystem where the comma (,) is used as a decimal indicator and the decimal (.) is used asa data separator (in other words, 2.17, 3.08 in the American system where 2.17 and 3.08

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    are two data values, would appear in the European system as 2,17. 3,08). The Europeansystem should be selected only if one is operating a computer set up (in Windows) tooperate in the European system and only if the data file being read was created using sucha computer (so that . and , are used in the European fashion). If the European option isselected in Figure 4, then the comma delimeter is unchecked (if previously checked).

    As an example of reading data from a file where two values are side by side and notseparated by a delimeter, in Fig. 4, the month and day of the month lie side by side in thedata file in columns 1-2 and 3-4. There is no separation between month and day of monthin the data file (see bottom data window in Fig. 4). Therefore, the user must instruct REF-ET to begin reading the month in column 1 and to end in column 2. REF-ET is instructed tobegin reading the day of the month in column 3 and to end in column 4. For Maximum airtemperature, REF-ET is instructed to begin reading in column 5 (to be sure to read any

    days where air temperature exceeds 100oF. No ending column is given for maximum airtemperature, because this data parameter is always followed by at least one blank (see Fig.4). An asterisk (*) or a blank indicate to REF-ET that it is to automatically determine theend of the temperature parameter.

    The column numbers are entered on the screen by using the cursor keys to move from rowto row or from column to column (using arrow keys on the keyboard or clicking with themouse cursor). If data parameters in the weather data file happen to be separated by atleast one blank or by a specified delimeter or both, then numbers identifying the beginningand ending columns are not required on the definition editor screen. When no beginningand ending column numbers are entered, REF-ET will attempt to differentiate betweenparameters in the data file by assuming that they begin and end with blanks or otherdelimeter (commas, tabs, etc.). In this case, the second and third ("Beg Col" and "EndCol") can be left blank, or an asterisk (*) can be entered.

    There happens to be an additional temperature variable in the ASCE.DAT weather data file(Tmean) that is not needed by the REF-ET program (Figure 4). Therefore, this variable is

    ignored. This is accomplished by specifying this variable as a Dummy or skip variable(i.e., as parameter type 0 in the upper left window of Figure 4). The next desired variablein the ASCE.DAT file is dewpoint temperature. Dewpoint temperature data begins incolumn 22, but this does not need to be specified because dewpoint temperature is alwayspreceded by at least one space. Therefore, REF-ET will always be able to find it. Since theTdewvalue ends with a blank space in all instances, no ending column number is needed.

    The next data parameter in the ASCE.DAT file is saturation vapor pressure at the dewpoint(termed VP in the data file). It was not desirable by the example user to include thisparameter in the REF-ET calculations. Therefore, this value is ignored by simply specifyingthe location of the next desired parameter, which is wind speed, which begins in column 33.All types of numbers or even alphanumeric characters can be ignored by the REF-ET

    program in this manner. In summary, when the beginning column for a data item isentered, but the ending column is left blank or has an *, then REF-ET assumes the dataitem in the data file ends with a blank or other specified delimeter such as a tab or comma.

    The best method for ignoring (skipping) numeric or alphanumeric (i.e. text or string) data inthe weather data file is to enter the parameter identification type as type 0 or 1, dependingon whether the data file columns are numeric or alphanumeric characters. The skipdesignations of parameters 0 and 1 simply mean that the data will be read from the data

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    file, but the values will be ignored. Parameter ID type 1 is used if the value contains anynonnumeric data such as letters or special symbols. If a text string to skip contains aspecified delimeter, such as a comma, then the total text string can be surrounded bydouble quotes (text string). This will cause REF-ET to safely read the entire stringincluding the embedded delimeter character.

    Ot'er ata Fi%e Readin Tec'ni&esData type 2 (line feed) can be used if data for the same time step happen to occupy morethan one consecutive line within the data file. This may occur if REF-ET is used to readdata from a file created by a Campbell Scientific datalogger (LOGAN90H.DAT for example).

    The user can insert a new row of instructions (i.e., to read a new column in between twocurrently read columns) by pressing the "Insert New ID Line button that is located at thebottom of the screen (Fig. 4). The cursor should be placed where the new line is desiredbefore pressing the insert button. In the same way, the line that the cursor is resting on canbe deleted by pressing the Delete ID Line button.

    Warning: if a blank line has been inserted into the parameter list when the first editor screenis exited, REF-ET assumes that this blank line indicates the end of the data list, and allsubsequent lines in the list will be ignored and will be deleted. Therefore, delete all blankinserted lines on the upper left-hand side of the screen that lie between valid definition rowsbefore continuing on from this screen.

    Pressing the Back button in Fig. 4 will take the user back to the data file opening dialogbox. Pressing the Exit or Cancel buttons will terminate the program. Pressing theContinue button will take the user to the next definition file editing screen (you can comeback again).

    ata arameter efinitions

    There are about 88 parameter types and measurement unit combinations defined forreading data into REF-ET. Hopefully these will cover the vast majority of data that will needto be read into REF-ET. These definitions are listed in the following Table 3.

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    Table 3. Data Parameter Types and units and idenfication numbers used by REF-ET to readweather data.

    0 Ignore numeric entry (skip)1 Ignore string (text) entry (skip)

    2 Line Feed (go to next line)3 Max Air Temp, C (daily or hourly)4 Min Air Temp, C (daily or hourly)5 Max Air Temp, F (daily or hourly)6 Min Air Temp, F (daily or hourly)7 Mean Air Temp, C8 Mean Air Temp, F9 Solar Radiation, W/m210 Solar Radiation, MJ/m2/d11 Solar Radiation, cal/cm2/d111 Solar Radiation, kJ/m2/d12 Solar Radiation, mm/d13 Solar Radiation, MJ/m2/hr

    14 Solar Radiation, cal/cm2/hr141 Solar Radiation, kJ/m2/hr142 Solar Radiation, kJ/m2/min15 Percent Sunshine, n/N, dec.16 Percent Sunshine, n/N, %17 Dewpoint Temperature, C18 Dewpoint Temperature, F19 Min. Rel. Humidity, % (daily or hrly)20 Max. Rel. Humidity, % (daily or hrly)191 Min. Rel. Humidity, dec. (daily or hrly)201 Max. Rel. Humidity, dec. (daily or hrly)21 Ave. Rel. Humidity, %211 Ave. Rel. Humidity, decimal22 Ave. Vapor Press., kPa23 Ave. Vapor Press., mb231 Ave. Absolute Humidity, kg/m3232 Ave. Specific Humidity, kg/kg24 Wet Bulb Temperature, C25 Dry Bulb Temperature, C26 Wet Bulb Temperature, F27 Dry Bulb Temperature, F28 Ave. Wind Speed, km/day29 Ave. Wind Speed, m/s30 Ave. Wind Speed, mi/day31 Ave. Wind Speed, km/hr32 Ave. Wind Speed, mi/hr321 Ave. Wind Speed, knots

    33 DayTime (7am-7pm) Wind, km/h34 DayTime (7am-7pm) Wind, m/s35 DayTime (7am-7pm) Wind, mi/h36 Day/Night Wind Ratio, decimal37 Pan Evaporation, mm/day38 Pan Evaporation, in/day39 Soil Heat Flux, MJ/m2/day40 Soil Heat Flux, cal/cm2/day41 Soil Heat Flux, W/m2

    42 Soil Heat Flux, MJ/m2/hr43 Soil Heat Flux, cal/cm2/hr

    44 Net Radiation, MJ/m2/day45 Net Radiation, cal/cm2/day451 Net Radiation, kJ/m2/day46 Net Radiation, W/m247 Net Radiation, mm/day48 Net Radiation, MJ/m2/hr49 Net Radiation, cal/cm2/hr491 Net Radiation, kJ/m2/hr492 Net Radiation, kJ/m2/min50 Albedo (if measured), dec.51 Albedo (if measured), %52 Lysimeter, mm/day53 Lysimeter, in/day

    54 Lysimeter, mm/period55 Lysimeter, in/period56 Precipitation, mm57 Precipitation, inches58 Month, 1-1259 Day, 1-3160 Hour, 0-24601 Hour, 0000-2400602 Hour and Minute, 0000-235961 Minute, 0-5962 Year, 00-9963 Year, 0000-209964 Day of Year, 1-36665 Measured Grass Ht, m651 Measured Alfalfa Ht, m652 Measured Grass Ht, cm653 Measured Alfalfa Ht, cm654 Measured Grass Ht, in.655 Measured Alfalfa Ht, in.66 Sunshine Hours (daily)67 Atmospheric Pressure, kPa68 Atmospheric Pressure, kPa

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    efinition Fi%e Editor Screen

    The second screen of the definition file editor is used to enter supplementary informationthat describes the weather measurement site and location. In addition, it is on this screenwhere the user specifies the number of lines at the beginning of the data file to skip before

    reading the actual weather data. If the definition file had been previously created, then theinformation that had been previously stored in the definition file will be displayed on theeditor screen. Figure 5 shows the second screen of the definition file editor for theKimberly monthly data example.

    The first ten lines of the screen in Fig. 5 describe the weather station location, includinginformation on anemometer height, height of the temperature/RH sensor, weather stationelevation, weather station latitude, weather station longitude and timezone center longitude,default Day/Night wind ratio for the region (needed only for FAO-24 equations), the heightof vegetation at the weather station, and the length of green fetch upwind of theevaporation Class A evaporation pan.

    Station latitude is necessary for computing Ra used in the Hargreaves method and forcomputing net radiation (via Rso) and n/N. Values for longitude are only needed when

    computing hourly (or shorter) timesteps and are used to calculate clear-sky solar radiationused for net radiation. For daily or monthly data, the longitude cells can be left as zero.The longitude of the center of the time zone is needed with hourly (or shorter period) data todetermine the sun angle for extraterrestrial radiation. For most locations of the globe, thistime zone longitude should be a multiple of 15o. It can be calculated by multiplying the

    time-lag of the time zone from Greenwich, England by 15o. For example, Kimberly, Idaho(longitude 114.5oW) is 7 hours earlier than Greenwich. Therefore, the longitude for theKimberly time zone (referred to as Mountain standard time) is 7 x 15o= 105oWest. Forsome countries that are a fraction of an hour different from Greenwich, for example, India,

    the fraction of hours should be multiplied by 15o

    . The blue tinted hint box to the right ofthe longitude entry provides a hint for the correct time. However, this hint may not becorrect for locations that are near the boundaries of their time zone.

    The user can indicate the number of lines to skip at the beginning of the weather data fileas indicated in the screen of Fig. 5. Lines to be skipped include any header information.Header (labels) information needs to be skipped, otherwise, REF-ET will attempt to readthese lines as data.

    The user can enter a code for missing data, for example 999 in Fig. 5, which instructsREF-ET to regard data as missing when a value in the data file equals the code for missingdata (i.e.,999). One should avoid using 0 for the missing value indicator, as this mayincorrectly indicate missing data on days when a measured parameters has a value of 0.

    The user is able to enter a multiple-line description of the data file and particular REF-ETrun in the box shown. This description will be printed in REF-ET result files and printouts.This is useful for documenting the particular computation procedure.

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    Figure 5. Second Definition Screen of REF-ET

    When hourly (or shorter time period) data are used, then the user can specify, towards thebottom of Fig. 5, whether the time data in the data file represent the time at the end ofeach time interval (over which the data have been averaged), or the time at the beginningof the time interval, or at the center of the time interval. This option is new to Version 3.1. Ifhourly (or shorter) data, the user can also indicate if daylight saving time has been used inthe data file (for USA data sets). If this box is checked, then REF-ET will adjust the timeduring the daylight savings period prior to calculation of clear sky solar radiation. It will notchange the time when the results are output (the original time will be presented).

    Pressing the Back button in Fig. 5 will take the user back to first definition screen.Pressing the Exit button will terminate the program. Pressing the Cancel button willreset the data on the screen to that before changes were made. Pressing the Continuebutton will take the user to the next definition file editing screen (you can come back again).

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    Se%ectin t'e Reference T)pe, O&tp&t Options and ET E&ations

    The third definition editing screen is shown in Fig. 6. This screen is used to select a) thetype of output units to be used for the intermediate and final files and/or printouts, b) wherethe final EToor ETrresults are to be directed, c) which intermediate files are to be printed,

    and d) which ET equations are to be evaluated and the types of reference calculations to be

    made for each equation (grass or alfalfa).

    English units used in REF-ET output are expressed as inches, oF, and miles per day,

    although radiation parameters are expressed in calories per cm2 (i.e., Langleys). If theuser selects File and Screen for output, he/she will be asked to indicate or to confirm aname for the output file on a later screen (Fig. 9). As indicated previously, the firstintermediate file (*.in1) includes an echo of the data that have been read. Intermediate file2 (*.in2) contains a series of intermediate parameters, for example , , , Rso, Rn, etc. The

    intermediate files are automatically named, using the root name for the data file, and areplaced in the same folder that the original data file resides in.

    A general ET reference ratio (ETr

    /ETo

    ) is entered in Fig. 6 to use for converting those ET

    equations between the two reference types that are not defined for both reference types.For example, the FAO-56 PM equation is only defined for grass reference ETo, Therefore,

    to estimate alfalfa reference ETrusing the FAO-56 PM equation, the FAO-56 PM result is

    multiplied by the ETr/ETo ratio inside of REF-ET. As described in a previous section, the

    ETr/ETo ratio may change with climate and possibly with time of year. Typical values for

    this ratio range from about 1.1 for humid and subhumid climates to 1.2 to 1.3 for semiaridand arid climates. An equation from FAO-56 for estimating ETr/EToas a function of wind

    speed and relative humidity is contained in Appendix 4. The ET equation check boxes thathave a dot beside them indicate that the equation is not defined for the particularreference type and therefore will utilize the specified ETr/EToratio to estimate the reference

    ET.

    Also on the definition screen in Fig. 6 are the standard heights to be used for the alfalfa andgrass references in the full form ASCE Penman-Monteith equations. These heights areentered near the (1) subscripts in the center left of the figure. The value 0.5 m is standardfor alfalfa and 0.12 m is standard for grass. These two heights are impact values calculatedfor aerodynamic and surface resistances used in the full-form ASCE PM equation, which isthe first equation listed (ASCE Penman-Monteith (full) (grass or alfalfa, rs=f(timestep)).).The values for vegetation height entered can be different from 0.5 and 0.12 m. In addition,the heights specified in Fig. 6 are overridden by any vegetation heights that may be readin from the data file (new height(s) can be read from each data line as directed by theparameter assignments made in Fig. 4 (parameters 65, 651-655)).

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    Figure 6. Third definition editing screen of REF-ET.

    On the lower left-hand side of the screen shown in Fig. 6 (in area (2)) are boxes where sixvalues for surface resistance, rs, can be entered. These are the values specified by the

    user for alfalfa and grass reference types for 24-hour, hourly (or shorter) daytime, andhourly (or shorter) nighttime periods. These values for rsare used with the second ASCE

    Penman-Monteith (full) equation presented in the equation list (see Fig. 6). These valuesfor rsare associated by REF-ET to the values entered for height of alfalfa and grass (items

    marked with a (1)) that are listed above the rsvalues in Fig. 6. If these height values are

    overridden during operation of REF-ET by reading new values for height for each timestepfrom the data file, then the values for rsfor ASCE PM no. 2 (the w/user spec. rsin Fig. 6)

    will be modified according to the change in leaf area index, LAI, using the ASCE algorithmsfor alfalfa and grass and the height value from the data file (if given). The Kim6971.dat fileillustrates a situation in which vegetation height is read from the data file for each time step.These vegetation heights override the reference height specified in the definition file on

    the screen shown in Fig. 6.

    Specifiying nonstandard values for reference vegetation height (i.e., other than 0.5 or 0.12m) or for surface resistance (i.e., other than 45, 30 and 200 s/m for alfalfa reference andother than 70, 50 and 200 s/m for grass reference for 24-hour, daytime and nighttimeperiods) should be rare. For standardized reference ET calculation, the user is advised touse the standard heights and surface resistances. The option to specify different values isuseful when attempting to match ET against measured ET for research purposes. When

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    values are set to zero for these parameters in Fig. 6, the standardized values are used asdefault.

    The third reference ET equation on the list in Fig. 6 is the ASCE standardized Penman-Monteith equation. This equation, shown as Eq. 36 in Appendix 1, is a simplified form ofthe full-form ASCE PM equation, where vegetation heights and surface resistance values

    have been fixed to standardized values and the full ET equation simplified by combiningterms (ASCE 2005). When standardized values for reference vegetation height andsurface resistance are used, the full-form ASCE PM equations will estimate very closely tothe standardized form. When selected for grass ETo, the ASCE standardized PM equation

    is essentially identical to the FAO-56 PM equation for daily timesteps. The equation isidentical for hourly timesteps when the FAO-56 PM is applied using the updated surfaceresistance recommended for the FAO-56 PM equation by Allen et al. (2005) (which it is inREF-ET version 3).

    Se%ection of Reference E&ations and Reference T)pe

    The user can select as many reference equations from the list presented in Fig. 6 as

    desired. In addition, both reference types may be selected for a single equation or only onetype can be selected. The specific equations and reference types selected are stored in thedefinition file (if directed by the user) so that subsequent runs of REF-ET will rememberwhich equations have been previously applied.

    If lysimeter measurements (or other ET measurements) are to be read from the data file (asspecified on the first definition shown in Fig. 4), then the user should check the ETmeasurements box shown in Fig. 6.

    Estimation of Missin ata

    When some parameters in the data file are missing (i.e., they are represented by the codefor missing data indicated in Fig. 5), then REF-ET will attempt to estimate the missing data.Also, if a parameter is not read from the file, for example, if there are no solar radiation datain the data file, then REF-ET can be instructed to estimate the missing parameter using airtemperature data. The only data that can not be estimated from other data, if missing, areair temperature data.

    The specific means for estimating missing data are indicated by pressing the Specify howto handle missing data button in Fig. 6. Pressing this button brings up the MissingData screen shown in Fig. 7.

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    Figure 7. Screen for describing how to estimate missing weather data.

    Equations 3-3 and 3-4 of Appendix 3 are used to estimate missing daily solar radiationdata, Rs. Other options are to apply a constant ratio of Rs to Ra, which is the computed

    extraterrestrial radiation. A fourth option is to simply replicate the value of Rs that was

    recorded on the previous day or time step (if any).

    Missing wind speed data can be estimated by assuming some constant value. FAO-56

    recommends using u2= 2 to 3 m s-1for agricultural areas. A table of guidelines on typical

    wind speed classes is given in Appendix 3.

    Dewpoint temperature is estimated (if no type of humidity data is available for the time step)using minimum daily air temperature. This method does not work, of course, for hourly

    time steps. The value for Ko is recommended to be about Ko = 2 to 5 oC for arid and

    semiarid climates and Ko = 0oC for humid and subhumid climates. An alternative is to

    assume that the maximum daily relative humidity is about 80 to 95% each night. Dewpointtemperature is then estimated from the RHmaxestimate as described in Appendix 1. There

    are no means for estimating missing humidity data for hourly or shorter time steps otherthan using the value from the previous time step.

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    The user can return to the third definition screen (Fig. 6) by pressing the Return button onthe Fig. 7 screen.

    Soi% eat F%&/ and et Radiation Meas&rements

    Soil heat flux can be read from the data file. Otherwise, it is calculated as described in

    Appendix 1. If the user wishes to force monthly, daily or hourly soil heat flux to be zero,then the user should direct the definition file to read G from a blank column in the data file.

    If values for net radiation are not entered into REF-ET, then these are estimated using themethods of FAO-56, ASCE (2005) and Wright (1982) (for Kimberly Penman equations),based on solar radiation, air temperature (maximum and minimum for daily timesteps), andvapor pressure. If albedo is not read from the file, then it is assumed to be 0.23 for theFAO-56 and ASCE (2005) Rnor it is computed using the Wright (1982) equation for the Rn

    used in the Kimberly Penman equations.

    Ot'er $a%c&%ations

    Crop height can be entered for each day or time step in the data file for when these heightsare known for either the grass or alfalfa reference crop. These measurements will thenoverride the reference height parameter listed on the third screen of the definition file (Fig.6). However, if the intent is to produce a standard reference estimate using the fullASCE PM equation, then 0.5 m for alfalfa and 012 m for grass should be utilized.

    Mean daily temperature is used to compute latent heat of vaporization and slope of thesaturation vapor pressure curve for all time steps (including 24-hour and monthly timesteps). Daily mean temperature, if not entered, is computed as the average of maximumand minimum air temperature.

    When maximum and minimum air temperature are not entered, then they are assumed toboth be equal to mean air temperature, for purposes of calculating net radiation and VPD.This is true for hourly data, also.

    Average saturation vapor pressure of air (ea) is always computed at mean air temperaturefor the 1963 and FAO-24 Penman equations and as the average of eo(Tmax) and e

    o(Tmin) forthe Kimberly Penmans and for the FAO and ASCE Penman-Monteith equations.

    The CIMIS Penman equation (used in the California Irrigation Management InformationService program and developed by W.O. Pruitt of Univ. of California, Davis) is only appliedhourly. This equation has a separate daytime and nighttime empirical wind function. InREF-ET, the CIMIS Penman is applied using net radiation (if not read from the data file)computed following FAO-56 procedures and with hourly soil heat flux set equal to 0,following standard CIMIS procedure.

    Estimation of t'e Timestep

    REF-ET can compute reference ET on monthly, daily, or hourly (or less) time steps.Monthly and daily computations are presented as mm/day and computations for time stepsof less than 24-hours are presented as mm/hour (even if the time step is shorter). REF-ETassumes that time steps are monthly or daily unless the time parameters 60 (Hour), 601,602 or 61 (Minute) are read from the data file. Either the day of the year (64) or Month (58)and Day of Month (59) MUST be read for each line of the data file (even for hourly data), as

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    this information is needed to compute extraterrestrial radiation, net radiation, and thecoefficients for the wind functions of the 1982 and 1996 Kimberly Penman methods foreach specific day of the year.

    If hours or minutes are read from the file and these values are less than 24-hours apart,then REF-ET assumes that the data and computation time steps are for less than 24-hour

    periods and ET results are printed in mm/hr and radiation units are expressed as W/m2. Ifthe Day of the Month is not given or is zero, REF-ET assumes that the data are monthlydata and sets the Day of the Month equal to 15. Computations for monthly data are thesame as for daily data.

    Sa#in t'e efinition Fi%e ata

    When the user leaves the third definition file-editing screen (Fig. 6) by pressing theContinue button, he/she is asked whether he/she wishes to save the definition file. If theanswer is no, then any changes to the definition file will not be saved to disk. However, anychanges to the definition information will still be used in the subsequent processing ofweather data. If some changes were made to the definition information that are

    unacceptable, then the user should press the Cancel button on screen three (Fig. 6) andstart over.

    If the user desires to save the changes made to the definition information, then the file savedialog box shown in Fig. 8. is displayed. The user can change the name of the definitionfile, or he/she can use the name that was previously specified (or opened). If the userselects Cancel, then no changes will be made to the definition file. However any changesmade will be applied in the subsequent processing unless the user starts over.

    Figure 8. Dialog box for saving the Definition File as shown when using XP.

    After saving the definition file, the user is prompted, via the dialog box shown in Fig. 9, tospecify the name for the output file into which to save results of the reference ETcalculations, if the user specified the print option on the third screen of the definition editor

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    (Fig. 6). The default name for the output file is the same as the original data file with theextension .out. The user can change or modify this name.

    Figure 9. Dialog box for saving REF-ET results as shown when using XP.

    rocessin of t'e *eat'er ata Fi%e

    Following the saving of (or not saving of) the definition (and output) files, REF-ET begins toprocess the weather data file. The first screen presented by REF-ET echoes the first linesof the data file that were skipped, as shown in Fig. 10, according to the instructionsprovided by the user in Fig. 5. The user is prompted on this screen to Press any key toCONTINUE.

    Actual processing of each line of the data file will begin after the user presses a key on thekeyboard. The line number of each line of the data file being processed will be displayedas REF-ET computes parameters and reference ET for that line. Final results are onlypresented after all lines of the data file have been processed.

    Fina% Res&%ts

    The final ET calculations from REF-ET are displayed in a second window as illustrated inFig. 11. The results shown in Figure 11 can be scrolled up or down for long data files.Specific definitions for each reference ET equation displayed can be found in the header ofthe output data file (if an output file was specified to be created) or on the result printout (if

    selected).

    Pressing the Continue key on the output screen shown in Fig. 11 will take the user back tothe beginning of the REF-ET program. Pressing End will end the program.

    Specific definitions of headings of final calculations are written in the disk files and resultsthat are written to a printer (see section following the list of references for examples ofthese files).

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    Figure 10.First result file displayed by REF-ET showing skipped data lines (from the header of the datafile).

    If more ET equations are selected than can be presented on the output screen shown inFig. 11, then scroll bars are included in the header and data windows so that the boxes canbe scrolled to the right. Unfortunately, the scrolling of the two boxes can not be tiedtogether, so that the user must scroll each one separately. Only the first 200 to 500 lines ofdata are presented in the output box shown in Fig. 11. The balance of the data is placeddirectly into a disk file or printed, depending on the option selected by the user.

    Figure 11. Example results from REF-ET that are d