Meteorological data from ground stations

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General description

The processing of observed station weather into the MCYFS involves four steps:

preprocessing of station weather data

Data acquisition from weather stations

Weather stations (black dots) for which data are available for (part of) the period from 1975 until present

The selection of stations is limited to those stations that regularly collect data and can supply data in near real time. Relevant meta data of stations includes station number, station name, latitude, longitude and altitude. This data is available in the object STATIONS.

Currently, data acquisition and processing applies to two regional windows: Europe and China. However in the documentation mainly examples for Europe are shown.

Some of the historic meteorological data were purchased directly from National Meteorological Services. Others were acquired via the GTS. As data are obtained from a variety of different sources, considerable preprocessing was necessary to convert them into a standard format. Around 1992 the historic meteorological data represented approximately 380 stations in the EU, Switzerland, Poland and Slovenia with data from 1949 to 1991 (Burrill and Vossen, 1992). Later the historic sets have been extended with stations in Eastern Europe, western Russia, Maghreb and Turkey. The historic data were converted into consistent units and checked on realistic values. The database was also scanned for inconsistencies, such as successive days with the same value for a variable, or minimum temperatures higher than maximum temperatures (Burrill and Vossen, 1992).

From 1991 to present, meteorological data are received in near-real-time from sources like the GTS network for different hours within one day. The data is pre-processed and quality checked using the AMDAC software package (MeteoConsult, 1991) which extracts, decodes and processes the observations. Since 2014, more and more National Meteorological Services (NMI) migrate to the new encoding format BUFR, owned by the WMO. For the encoding of BUFR additional software, i.e. FMdecode by MetWatch, is applied.

In recent years, the earlier archives (1975-2004) of Scandinavia and eastern Europe have been enriched. In 2016 data from around 300 Chinese stations have been acquired starting a new service for this region.

Available stations

The stations, stored in object STATIONS holds over 10221 stations distributed over 40 countries in Europe and neighboring countries. Over 5100 of these stations provide weather data in near real time. All weather data is stored in the stations weather database (daily data in object WEATHER_OBS_STATION and 3- and 6-hourly precipitation in object WEATHER_OBS_STATION_RAIN).

Raw station data are collected from various sources:

  • GTS (essential data and data licensed by ECOMET restrictions)
  • NOAA (USA)
  • European National Meteorological Institutes (NMI) (licensed)

For transmission and international exchange, the station reports are encoded in formats standardized and maintained by WMO and International Civil Aviation Organizaton (ICAO)

Observations which are provided directly by National Meteorological Institutes or regional authorities come from secondary networks and are provided in proprietary formats.

Meteorological stations selected in priority are those located in the agricultural zones and equally distributed over the mainland (instead of over islands - for Portugal, Spain or Greece in particular). In particular, for western Russia (western of Urals) the main areas covered are the agricultural districts.

In the case of China a little bit less than 300 stations were selected meeting the following criteria:

  • Near real time delivery
  • A 20-years archive
  • Located in the main agricultural areas
  • Covering the elements: precipitation, minimum and maximum temperature, humidity and wind speed

The raw station data for China is collected from GTS.

Basic indicators

The basic indicators that are received from weather stations include:

  • Sum of precipitation
  • 2m air temperature
  • Maximum of 2m air temperature
  • Minimum of 2m air temperature
  • Downward directed solar radiation measured at earth's surface (global radiation)
  • Duration of sunshine
  • Total cloud cover
  • Water vapour pressure
  • Relative humidity
  • 10m mean wind speed
  • Snow depth

For SYNOP FM12 and BUFR bulletins, WMO defines regional regulations to consider time zones and national coding practices. The extent of reported parameters and frequency differs per country and is for ECOMET member countries affected as well by license restrictions. The METAR code is standardized through the ICAO. In Europe and China, the WMO-maintained codes SYNOP FM12 and BUFR provide higher accuracy for the various parameters and more detail. In these regions, METAR provides only temperature, dew point, visibility, cloud amount and wind speed and is reported in coarser increments for the various parameters. Nevertheless, METAR reports are used as well, mostly to fill spatial gaps in areas with less WMO stations.

The following table summarizes basic information on the availability and reporting regulations from the various observing station data sources:

Parameter Reference periods of reports as defined by WMO SYNOP FM12/BUFR (*) METAR (**)
Sum of precipitation 24-hourly sum, 12-hourly sums, 6-hourly sums reported, depending on region WMO-region and local regulations Europe: 06 UTC: past 24 hours / 00 UTC and 12 UTC: past 6 hours / 06 UTC and 18 UTC: past 12 hours -- China: Reports 00 UTC for past 24 hours, some stations report 21 UTC for previous 24 hours (***) Not reported in Europe and China
2m air temperature Instantaneous value Reported with 0.1°C accuracy Reported as full degrees
Maximum 2m air temperature Maximum of continuous measurement during reference period (****) Europe and China: reported 18 UTC Not reported in Europe and China
Minimum 2m air temperature Minimum of continuous measurement during reference period (****) Europe and China: reported 06 UTC Not reported in Europe and China
Downward directed surface solar radiation (global radiation) Sum accumulated over past 24 hours Available for some European countries at 00 UTC Not reported in Europe and China
Duration of sunshine Sum accumulated over past 24 hours Most European countries report at 06 UTC Not reported in Europe and China
Total cloud cover Instantaneous value Octas 0-8 5 stages, only clouds up to a height of 5000 feet over ground reported
Measures for the humidity of the air at 2m above ground: dew point, water vapour pressure and relative humidity Instantaneous value of dew point temperature reported (*****) Reported with 0.1°C accuracy Reported as full degrees
10m mean wind speed Mean over past 10 minutes Meters per second Mostly full knots, occasionally less accuracy during low wind situations
Snow depth Instantaneous value, increasing automatization of measurement When a station reports snow depth, it is done in Europe by 06 UTC, in China by 00 UTC not reported

(*) Main synoptic hours are 00, 06, 12, 18 UTC. Intermediate synoptic hours are 03, 09, 15, 21 UTC. For most European countries up to hourly data is used, for China 3-hourly reports are used.
(**) Up to hourly reports, depending on the local airport schedule. Frequency of reports can change over daytime, weekday and season.
(***) In BUFR, many countries erroneously do not report the reference period during dry conditions. In this case, it is assumed that the WMO definitions for the reference period are applied.
(****) Europe: Covers past 12 hours. China: Covers past 24 hours.
(*****) Other thermodynamical measures for the humidity of air can be calculated from dew point and air temperature.

Data quality check

The software package Actual Meteorological Database Construction (AMDAC) is the main processing tool for completing and quality evaluation of actual meteorological data which is used as input for agro-meteorological models. The chain of data processing and quality control can be described as follows:

Near real-time pre-processing (hourly reports with extended information at intermediate and main synoptic hours)

  • Decode SYNOP FM12, BUFR and METAR reports from weather stations as available on the GTS and at NOAA with external decoding software (FMDecode). As far as implemented in the external decoder, semi-standardized formats from National Meteorological Institutes are decoded as well this way.
  • Additionally, AMDAC decodes proprietary formats provided by National Meteorological Institutes for secondary networks.
  • Extract or calculate and store the meteorological parameters in a separate database;
  • Check the quality of the observed elements in the received weather reports by performing data range and time consistency checks. The latter is done by comparing the values of reported parameters with those previously or subsequently reported from the same station. For a number of weather elements, the observed values are compared with short-term (<12h) forecast values that serve as reference values. These forecasts are obtained through a technique called MOS (Model Output Statistics). Meteorological forecast models, e.g. the ECMWF model, compute the physical status of the atmosphere on a grid, and the results represent the expected situation per grid box. A MOS uses statistical relationships between the observations of a particular station and historic model forecasts for surrounding grid points. Each observing location has its own statistics, which are applied onto the grid point results of one or more physical models of the atmosphere. That way, the very local situation on an observing station can be mimicked. AMDAC uses these individual location forecasts to define time- and location-dependent thresholds for the trustworthiness of station reports, for the elements air temperature (including minimum and maximum), dew point (applies to all derived measures for the humidity of the air), precipitation and wind speed, respectively. That way, the thresholds consider season, climatology and even the actual weather pattern. A welcome side effect is the high spatial consistency of the statistical MOS approach and therefore of the thresholds. Individual MOS forecasts is used for almost all stations (4600, state June 2016). For temperature, humidity measures and wind speed consecutive reporting of a value, e.g. due to broken equipment or data encoding issues, is usually detected by the daily checks. This does not apply for precipitation, i.e. for consecutive reports of 0 mm. This rather typical reporting bug is not found when quality checks are applied on to the data of the very day. Due to the mostly “patchy” pattern of precipitation events quality checks accept dry stations in between. To find stations that report consecutively 0 mm several weeks of history need to be considered, see retrospective checks.
  • Correct automatically obvious errors detected while performing these checks;
  • Automatically fill gaps in the database through interpolation based on time consistency criteria;
  • Flag dubious observations which cannot be corrected automatically;
  • Write all automatic corrections and flagged dubious observations to a log file;
  • Have the flagged observations checked and, if necessary, corrected by a trained meteorologist; when a correction is done, the derived parameters are recalculated and the data are written back to the database.

Dedicated trained and qualified meteorologists go through the dubious observation values that are flagged as such by the AMDAC automatic pre-checking program. An interactive system for the visualization of meteorological data is used to graphically visualize and analyze additional information such as:

  • Station observation data
  • Satellite images
  • Precipitation Radar data
  • Analysis and short range forecasts computed by physical models of the atmosphere
  • Short range forecasts for weather station locations

This additional data is used by the analyst to decide on either confirmation or rejection of the observed values.

Conversion to daily values

Once the database has been filled following the method described above, data are aggregated to daily values. This includes the indicators as summarized in the following table:

Parameter Aggregation Reference period Europe Reference period China
Total cloud cover (N) Daily mean 00 UTC, 03 UTC, 06 UTC, 09 UTC, 12 UTC, 15 UTC, 18 UTC, 21 UTC, 00 UTC next day 18 UTC prev., 21 UTC prev., 00 UTC, 03 UTC, 06 UTC, 09 UTC, 12 UTC, 15 UTC, 18 UTC
Duration of sunshine (Msun) 24-hourly sum 00–24 UTC Not available
Downward directed surface solar radiation (global radiation) (Mrad) 24-hourly sum 00-24 UTC Not available
Minimum 2m air temperature (Tn) Lowest value of continuous reference period (*) 18 previous day -06 UTC 06 UTC previous day – 06 UTC
Maximum 2m air temperature (Tx) Highest value of continuous reference period (**) 06-18 UTC 18 UTC previous day – 18 UTC
Water vapour pressure (e) Daily mean 00 UTC, 03 UTC, 06 UTC, 09 UTC, 12 UTC, 15 UTC, 18 UTC, 21 UTC, 00 UTC next day 18 UTC prev., 21 UTC prev., 00 UTC, 03 UTC, 06 UTC, 09 UTC, 12 UTC, 15 UTC, 18 UTC
10m mean wind speed (ff10) Daily mean 00 UTC, 03 UTC, 06 UTC, 09 UTC, 12 UTC, 15 UTC, 18 UTC, 21 UTC, 00 UTC next day 18 UTC prev., 21 UTC prev., 00 UTC, 03 UTC, 06 UTC, 09 UTC, 12 UTC, 15 UTC, 18 UTC
Sum of precipitation (RRR) 24-hourly sum Mostly 06 UTC until 06 UTC next morning Mostly 00 UTC – 00 UTC next day (indicator 2).
For some stations 21 UTC previous day – 21 UTC (indicator 6)
2m air temperature (TT) 03-hourly instantaneous values during daytime 06 UTC, 09 UTC, 12 UTC, 15 UTC, 18 UTC 00 UTC, 03 UTC, 06 UTC, 09 UTC, 12 UTC
Relative humidity (RH) 03-hourly instantaneous values during daytime 06 UTC, 09 UTC, 12 UTC, 15 UTC, 18 UTC 00 UTC, 03 UTC, 06 UTC, 09 UTC, 12 UTC
State of soil Instantaneous value (***) 00 UTC following day
Water vapour pressure deficit (vpd) Daily mean 00 UTC, 03 UTC, 06 UTC, 09 UTC, 12 UTC, 15 UTC, 18 UTC, 21 UTC, 00 UTC next day 18 UTC prev., 21 UTC prev., 00 UTC, 03 UTC, 06 UTC, 09 UTC, 12 UTC, 15 UTC, 18 UTC
Slope of saturation vapour pressure vs. temperature curve slope Daily mean 00 UTC, 03 UTC, 06 UTC, 09 UTC, 12 UTC, 15 UTC, 18 UTC, 21 UTC, 00 UTC next day 18 UTC prev., 21 UTC prev., 00 UTC, 03 UTC, 06 UTC, 09 UTC, 12 UTC, 15 UTC, 18 UTC
Total cloud cover (N) Daytime mean 06 UTC, 09 UTC, 12 UTC, 15 UTC, 18 UTC 00 UTC, 03 UTC, 06 UTC, 09 UTC, 12 UTC
Low or (when no low clouds) medium clouds (Nh) Daytime mean 06 UTC, 09 UTC, 12 UTC, 15 UTC, 18 UTC Not available
Calculated sunshine duration (Csun) 24-hourly sum Calculated by AMDAC, 0-24 UTC of the day specified Calculated by AMDAC, 18 UTC previous day - 18 UTC of the day specified
Highest possible global radiation at clear sky (Crad) 24-hourly sum Calculated by AMDAC, 0-24 UTC of the day specified Calculated by AMDAC, 18 UTC previous day - 18 UTC of the day specified
Potential evapotranspiration (ETP) 24-hourly sum Calculated by AMDAC, 0-24 UTC of the day specified Calculated by AMDAC, 18 UTC previous day - 18 UTC of the day specified
Visibility (VV) Daytime mean 06 UTC, 09 UTC, 12 UTC, 15 UTC, 18 UTC 00 UTC, 03 UTC, 06 UTC, 09 UTC, 12 UTC
Snow depth Instantaneous value 06 UTC 00 UTC

(*)When no minimum is reported but hourly instantaneous temperatures AMDAC estimates the minimum from the hourly local early morning values, see AMDAC documentation.
(**)When no maximum is reported but hourly instantaneous temperatures AMDAC estimates the maximum from the hourly local afternoon values, see AMDAC documentation.
(***)Code, for translation see AMDAC documentation.

A final check is then performed on these daily values before an output file is created for further processing. This automated quality check consists in verifying the data according to the table below. If errors are found, the meteorologist will check the data again and make modifications if relevant.

Parameter Constraint
Daily mean of total cloud cover : N 0 to 8 octas
Measured sunshine duration: MeaSun 0 to 24 hours
Measured radiation: RadMea 0 - 36 MJ/m2
Minimum temperature: Tn -35 to 35°C depending on region
Maximum temperature: Tx -20 to 50°C depending on region
Maximum temperature - Minimum temperature 0< Tx-Tn <30°C
Daily mean vapour pressure: e 0 to 35 hPa depending on region
Daily mean wind speed at 10 metres: ff10 0 to 15 m/s
Amount of precipitation from 6 UTC-6 UTC: RRR 0 to 140 mm depending on region
Air temperature: TT -35 to 50°C depending on region
Relative humidity: RH 5 to 100% depending on region
Daily mean vapour pressure deficit: vpd 0 to 60 hPa depending on region
Daily mean slope of saturation vapour pressure vs. temperature curve: slope 0 to 3 hPa/°C
Daytime mean of total cloud cover: N 0 to 8 octas
Penman evaporation: ETP 0 to 25 mm/day depending on region
Snow cover: SNOW (Tn+Tx)/2 < 10°C required do allow any snow cover

Information on the way the daily element values are constructed/defined is stored in the object WEATHER_OBS_STATION_INFO. Currently this is only done for precipitation e.g. period definition of the daily rainfall sum. Codes are:

  • 0 = real observation 06 - 06 UTC next day
  • 1 = period 06 - 06 UTC next day, short range forecast has been used to cover the complete period
  • 2 = real observation 00 UTC - 24 UTC
  • 3 = real observation 03 UTC - 03 UTC next day
  • 4 = real observation 12 UTC previous day - 12 UTC
  • 5 = real observation 18 UTC previous day - 18 UTC
  • 6 = real observation 21 UTC previous day - 21 UTC

More information on the 3- and 6-hourly precipitation data are stored in object WEATHER_OBS_STATION_RAIN (column IDFLAG). Codes are:

  • 1 = Changed by meteorologist (not applicable)
  • 2 = Automaticaly corrected (not applicable)
  • 3 = Observation
  • 4 = Linear interpolation from observations
  • 5 = Interpolated via MOS from observations
  • 6 = MOS analyses (not managed yet)

Finally, meta data of all stations is checked once a year.

Retrospective checks and blacklisting of suspect stations

Some suspicious station reports are only detectable by checking time series of several weeks. Continuous reports of 0 mm precipitation (instead of a "precipitation not observed" flag) do not stick out in daily rainfall sums, but only by investigating the station's reports over a longer period. Global radiation and cloud cover have a high spatial volatility, and continuous observation or encoding errors at a certain station become more explicit when looking into several weeks of station reports.

For all European stations, the AMDAC output of the past 40 days is inspected each week through time series checks. Provided a station reported on more than half of the tested days, the reports are checked, consulting ECMWF model analysis and short range forecasts for model grid points surrounding the station of request.

The checks are set up as follows:


A station is flagged as suspicious for precipitation when suspicious consecutive zero rainfall reports are detection. Criteria are

  • The observed precipitation sum is 0 mm whan aggregated over the whole checked period.


  • the ECMWF model near real time forecasts during the checked period included at least 10 wet days. A day is considered being wet when more than 0.5 mm precipitation is forecasted by the model's near real time foreast.

For each day of the investigated period, the station’s maximum possible daily solar radiation sum is calculated, based on its latitude, the time of year, and using a standard atmospheric optical depth. A station is flagged as being suspicious for radiation when:

  • There are at least 10 days with observed solar radiation exceeding 110 % of the maximum possible amount of solar radiation.


  • There are at least 10 days on which the observed solar radiation remained below 10 % of the maximum possible daily sum of solar radiation.


  • There are at least 10 days with observed radiation of 0 MJ m-2 day-1 whilst the ECMWF short-range forecast analysed solar radiation exceeding 0 MJ m-2 day-1.


  • The total sum of observed solar radiation is less than 25 % of the maximum possible radiation sum for the period, whilst the sum of the model's short-range forecasts for the parameter exceeded 25 % of the maximum possible daily sum of solar radiation. Naturally, the maximum possible radiation period's is only summed up from days with observations being available.
Mean daytime cloudiness

A station is flagged as being suspicious for cloudiness when:

  • A difference of more than 2.5 octa between the daily mean of observed total cloud cover and the daily mean of ECMWF model analysis and short-range forecast for total cloud is found for all days of the investigated period.


  • The reported instantaneous cloudiness was always higher than 4.0 octa whilst the model analysis and short-range forecasted for at least three time steps (hours) in the period a total cloud cover of less then 3.0 octa.


  • For all time steps in the period more than 5 octa total cloud cover was reported.
Duration of sunshine

For each day in the investigated period, the maximum day length is calculated based on the day of the year and the station latitude. Dividing the observed sunshine duration for a day by the calculated day length gives the relative sunshine.
A station is flagged as being suspicious for sunshine duration when:

  • For more than 10 days in the period, the observed duration of sunshine is more than 110% of the calculated day length.

OR Depending on the dominant season during the period:

  • Summer: highest relative sunshine value is less than 30% (i.e. the station is always cloudy).
  • Winter: the lowest relative sunshine value is more than 70% (i.e. the station is always sunny)
  • Spring/autumn: highest relative sunshine value is less than 30% (see summer check) OR the lowest relative sunshine value is more than 70% (see winter check).

The dominant season is determined as the season with the largest number of days in the investigated period. When 50% of the investigated days are winter/summer days, the dominant season will be winter/summer.

When the process flags stations as suspect a final manual inspection by a meteorologist follows. If the time series of the station are found to be wrong the following actions are executed:

  • The station is added to a blacklist: the station is immediately excluded from the operational station list.
  • The erroneous time series are deleted from the objects WEATHER_OBS_STATION_RAIN and WEATHER_OBS_STATION. The erroneous values are flagged (object WEATHER_OBS_STATION_RAIN, column TYPE) or deleted (object WEATHER_OBS_STATION and WEATHER_OBS_STATION_INFO) and deleted values are saved in separate objects (WEATHER_OBS_STATION_ERRORS and WEATHER_OBS_STATION_INFO_ERR).
  • All affected grid cells (object WEATHER_OBS_GRID) and regions (object WEATHER_OBS_REGIONCOVER) are reprocessed at regular time intervals. This also includes the crop simulation results.

Once a year each station on the blacklist is verified. Afterwards it is decided if stations can return to the operational work flow. Falsely blocked data is back-ordered, added and reprocessed.

Station data availability

Each month an overview is created showing the delivered number of stations per country. Information is also added on sudden changes and follow-up actions. Similar listings are made on a daily basis for internal use.

Example monthly overview

Example daily overview (pdf)

The following maps illustrate the available stations (red 0-20% - green 80-100%) for the main elements in a recent year 2019. The main elements (maximum temperature, minimum temperature, precipitation, sun shine, cloud cover, wind speed and vapor pressure) have a good spatial spread over Europe with a relative high spatial density in western and central Europe. Availability of measured radiation is mainly limited to western and central Europe.

Stations tmax 2019.jpg
Stations tmin 2019.jpg
Stations rain 2019.jpg
maximum temperature minimum temperature precipitation
Stations radiation 2019.jpg
Stations sunshine 2019.jpg
Stations cloud 2019.jpg
global radiation sunshine cloud cover
Stations wind 2019.jpg
Stations vapour 2019.jpg
Stations snow 2019.jpg
wind speed 10m vapor pressure snow depth

The following graph shows the increase of observations for the main elements between 1975 and 2019. Most elements have at least 600,000 annual observations which equals over more than 1600 stations in case they would have a complete temporal coverage. However, most stations have temporal gaps and therefore the number of reporting stations is much higher. Since 2004 the number of observations increased up-till a level of around 1,500,000 reported by more than 4500 stations. During the recent years also observations of radiation related elements increased drastically. This is especially true for cloud cover and sunshine. Prior to 1995 these elements have a relative low number of observations meaning that the global radiation of these years, required in MCYFS, is mainly based on the daily temperature range, see Calculation of advanced parameters.

Availability over time 2019.JPG

In general the station density and available data in the monitored areas is considered sufficiently high for the purpose of the project.

Ingestion into the database

After the station weather data passed all checks, daily weather data is exported to a fixed formatted ASCII file (s-file) containing the data of a single day that can be imported in the table WEATHER_OBS_STATION. In the near real time situation a s-file is delivered one day later. For example in the afternoon of day 31 March 2016 the following file is generated: s20160330.dat.

The 6-hourly rainfall data is exported to a plain ASCII file (rrr-file) containing the data of one 6-hourly time step within one single day. This data can be imported in the table RAIN_OBS_STATION. In the near real time service each day 4 rrr-files are generated at once containing data of 4 6-hourly time steps: 12 UTC (06-12 UTC of previous day), 18 UTC (12-18 UTC of previous day), 00 UTC (18-00 UTC of previous day) and 06 UTC (00-06 UTC of present day). For example in the afternoon of day 31 March 2016 the following files are generated: rrr_2016033012.txt, rrr_2016033018.txt, rrr_2016033100.txt and rrr_2016033106.txt.

Calculation of advanced parameters

Global radiation

Global radiation is the daily sum of incoming solar radiation that reaches the earth surface. It is mainly composed of wavelengths between 0.3 μm and 3 μm. Approximately half of the incoming radiation with wavelengths between 0.4 and 0.7 μm is Photosynthetically Active Radiation (PAR). Global radiation is the driving variable in the growth-determining CO2 assimilation process and thus crop growth models are sensitive to radiation data (van Diepen, 1992).

A major problem is the scarcity of measured global radiation. In cases where no direct observations are available it must be derived from sunshine duration, cloud cover and/or temperature, on the basis of statistical relationships. If measured global radiation is missing, it is based on one of three formulae (Ångström-Prescott, Supit-Van Kappel, and Hargreaves), depending on the availability of meteorological parameters. An important component in these formulae is the amount of Angot radiation which is the extraterrestrial radiation integrated over the day at certain latitude on a certain day. The calculation of the Angot radiation and the three different formulae are described by Supit et al. (1994) and van der Goot (1998a).

Angot radiation

The principle component of all three formulae is the extraterrestrial radiation, or Angot radiation. In fact, all of the three formulae estimate the fraction of Angot radiation actually received at the earth surface. The Angot radiation is calculated as:

The following hierarchical method is used to calculate global radiation for each station (Supit and van Kappel, 1998) in case measured global radiation is missing:

Ångström-Prescott formula

If sunshine duration is available, global radiation is calculated using the equation postulated by Ångström (1924) and modified by Prescott (1940). The two constants in this equation depend on the geographic location.

Supit-Van Kappel formula

When neither measured radiation nor sunshine duration are available, but minimum and maximum temperature and daytime cloud cover are known, the Supit-Van Kappel formula is used. This is an extension of the Hargreaves formula (Supit, 1994). The regression coefficients depend on the geographic location.

Hargreaves formula

When only the minimum and maximum temperatures are known the equation of Hargreaves et al. (1985) is used. The regression coefficients depend on the geographic location.

Any one of the above three methods has an additional upper limit. The maximum calculated global radiation is set to Angot radiation, corrected for atmospheric transmissivity, by multiplying the Angot value with the sum of the Angstrom A and B coefficients.

Deriving Ångström-Prescott, Supit-Van Kappel, and Hargreaves regression constants

The main problem with the application of the Ångström-Prescott, Supit-Van Kappel, and Hargreaves formulae is the quality of the regression constants. Studies by Supit (1994), Supit and van Kappel (1998) and van Kappel and Supit (1998) showed no relationship between latitude and the coefficients for Europe, although such a relation is frequently used to estimate these regression constants. Initially in MCYFS regression constants of Supit and van Kappel (1998) and van Kappel and Supit (1998) for Europe were used. They obtained sets of regression constants for the formulae for as many weather stations as possible, with a geographic distribution that corresponds to the area of interest for the MCYFS. As a result, a set of 256 reference stations was identified for which a relevant set of measured radiation data and other parameters in the formulae existed. For these stations regression constants were calculated based on measured radiation data for the three formulae mentioned above.

In 2012 the regression coefficients of these solar radiation models for Europe were updated using a new set of weather station data (temperature, sunshine and cloudcover) and an alternative training data set: 6 years (2005-2010) of the down-welling surface shortwave radiation flux (DSSF) 30-minutes product derived from Meteosat Second Generation satellite data by the Land Surface Analysis Satellite Applications Facility (LSA SAF) (Bojanowski et al.,2013). For each solar radiation model a set of weather stations was selected having sufficient observations of either sunshine duration, or cloud cover/temperature or only temperature (minimum and maximum) to perform a regression analysis. Results are stored in object STATION_REFERENCE_COEFFICIENTS.

Station archive data for China did not include measured radiation nor sunshine. Therefore radiation was derived from other observed elements namely cloud cover and minimum and maximum temperature. The Hargreaves and Supit-VanKappel models have been trained using modelled radiation by Tang et al., 2013. The 50yrRad database of Tang et al., 2013 containing ‘modelled’ radiation data for 716 CMA stations, has demonstrated its superior performance over previous estimates of locally calibrated Angstrom-Prescott models. While radiation is based on the Hargreaves or Supit-VanKappel models, coefficients of the Angstrom method are still required to calculate net outgoing long wave radiation within the potential evapotranspiration calculation (xxx). For determining Angstrom coefficients only the 50yrRad archive was used. Since no sunshine duration data is available, an alternative was sought. Transmissivity was derived by dividing the measured solar radiation at the ground by the solar radiation at the top of the atmosphere. By selecting only the period between day of year 150 and 200 (during mid-summer) the transmissivity is almost constant and can be linked to the Angstrom coefficients.

The program SupitConstants uses this set of data (via the view SUPIT_REFERENCE_STATIONS), consisting of latitude, longitude, altitude and calculated regression constants, to derive the regression constants for all stations in the MCYFS. Interpolation of the regression constants of the reference stations to other stations is based on a distance weighted average of the three nearest stations. This process is carried out once, unless the set of reference stations changes or when new stations are added or when meta data of stations change.

Interpolated regression constants are written in the temporary table SUPIT_CONSTANTS and copied to table STATIONS. After the regression constants have been established for all stations, global radiation can be calculated by using any one of the above formulae. Finally, the derived daily global radiation of each station is written into table WEATHER_OBS_STATION_CALCULATED (see flowchart).


Daily meteorological station data collected from stations does not contain potential evapotranspiration by crop, wet soils and open water. Potential crop evapotranspiration (ET0) is calculated by the Penman-Monteith equation while potential evapotranspiration of wet soils (ES0) and open water (E0) is calculated by the Penman equation.

Calculated E0, ES0, and ET0 are stored in table WEATHER_OBS_STATION_CALCULATED.

Messages to the Project Management Board

Information on successfull completion of the various processing steps is sent to the Project Management Board (PMB).