Gianni Bellocchi
Encyclopedia
Gianni Bellocchi is a researcher in agricultural and related sciences. He is credited with the development of approaches and tools in validation
Validity (statistics)
In science and statistics, validity has no single agreed definition but generally refers to the extent to which a concept, conclusion or measurement is well-founded and corresponds accurately to the real world. The word "valid" is derived from the Latin validus, meaning strong...

 of estimates and measurements. Introduction of fuzzy logic
Fuzzy logic
Fuzzy logic is a form of many-valued logic; it deals with reasoning that is approximate rather than fixed and exact. In contrast with traditional logic theory, where binary sets have two-valued logic: true or false, fuzzy logic variables may have a truth value that ranges in degree between 0 and 1...

 in the context of validation is often considered to be the most significant contribution to the field of model
Mathematical model
A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used not only in the natural sciences and engineering disciplines A mathematical model is a...

 and method validation (Agronomy Journal, volume 94, pages 1222-1233 http://agron.scijournals.org; Food Analytical Methods, volume 2, pages 126-135 http://www.springerlink.com/content/120914).

He also helped spark the validation
Validation
Validation or validity may refer to:* Validity, in logic, determining whether a statement is true or false* Validity , the application of the principles of statistics to arrive at valid conclusions...

 issues in agro-ecological modelling and analytical methods through his reviews of specialistic literature. His approach to the aggregation of multiple validation metrics has influenced the way validation results are viewed. In this respect he is credited with the establishment of hierarchy of preferences in validation and classification of models and methods in terms of aggregated, weighted metrics.

In the Roman Catholic Church
Roman Catholic Church
The Catholic Church, also known as the Roman Catholic Church, is the world's largest Christian church, with over a billion members. Led by the Pope, it defines its mission as spreading the gospel of Jesus Christ, administering the sacraments and exercising charity...

, he is close to Communion and Liberation
Communion and Liberation
Communion and Liberation, or CL, is a lay ecclesial movement within the Catholic Church.-Overview:CL grew out of the educational and catechetical methods of Msgr. Luigi Giussani, who founded the movement...

, the lay ecclesial movement founded by Monsignor Luigi Giussani
Luigi Giussani
Monsignor Luigi Giovanni Giussani , Italian Catholic priest, educator, public intellectual and founder of the international Catholic movement Communion and Liberation .-Biography:...

.

__FORCETOC__

Biography

Gianni Bellocchi was born in Acquapendente
Acquapendente
Acquapendente is a city and comune in the province of Viterbo, in Lazio . Acquapendente is an important centre for the agricultural production of vegetables and wine, and has a tradition of pottery craftmanship.-History:...

 and spent formative years in San Lorenzo Nuovo
San Lorenzo Nuovo
San Lorenzo Nuovo is a small town and comune in the province of Viterbo, in the Latium region of Italy. It is an important agricultural center for potatoes, olive oil, garlic, onions, cereals and grapes. A second source of revenue is tourism.-Geography:...

, in province of Viterbo
Viterbo
See also Viterbo, Texas and Viterbo UniversityViterbo is an ancient city and comune in the Lazio region of central Italy, the capital of the province of Viterbo. It is approximately 80 driving / 80 walking kilometers north of GRA on the Via Cassia, and it is surrounded by the Monti Cimini and...

 (Italy
Italy
Italy , officially the Italian Republic languages]] under the European Charter for Regional or Minority Languages. In each of these, Italy's official name is as follows:;;;;;;;;), is a unitary parliamentary republic in South-Central Europe. To the north it borders France, Switzerland, Austria and...

), near Lago di Bolsena
Lake Bolsena
Lake Bolsena is a crater lake of central Italy, of volcanic origin, which was formed starting 370,000 years ago following the collapse of a caldera of the Vulsini volcanic complex into a deep aquifer. Roman historic records indicate activity of the Vulsini volcano occurred as recently as 104 BC,...

. His parents, Giuseppe (born 1944) and Adriana (born 1946), are retired farmers. He attended at primary and middle schools in his village, and at agricultural high school in Bagnoregio
Bagnoregio
Bagnoregio is a comune in the Province of Viterbo in the Italian region of Lazio, located about 90 km northwest of Rome and about 28 km north of Viterbo.-History:...

. Starting in 1988, he studied agricultural sciences at the University of Pisa
University of Pisa
The University of Pisa , located in Pisa, Tuscany, is one of the oldest universities in Italy. It was formally founded on September 3, 1343 by an edict of Pope Clement VI, although there had been lectures on law in Pisa since the 11th century...

 and at the Sant'Anna School of Advanced Studies
Sant'Anna School of Advanced Studies
The Sant'Anna School of Advanced Studies of Pisa is a special-statute public university located in Pisa, Italy, operating in the field of applied sciences....

 of Pisa. He graduated in 1993 and got a PhD
PHD
PHD may refer to:*Ph.D., a doctorate of philosophy*Ph.D. , a 1980s British group*PHD finger, a protein sequence*PHD Mountain Software, an outdoor clothing and equipment company*PhD Docbook renderer, an XML renderer...

 in 1997. He learned statistical data processing and modelling approaches from entomologist Fabio Quaglia, physicist Franco Martoranahttp://www.agr.unipi.it/daga/Martorana-it.html, and modellers Frits W.T. Penning de Vries http://www.mairs-essp.org/expert.asp?Id=4 (Wageningen University
Wageningen University
Wageningen University and Research Centre is a Dutch public university in Wageningen, The Netherlands. It consists of Wageningen University, the Van Hall-Larenstein School of Higher Professional Education, and the former agricultural research institutes of the Dutch Ministry of Agriculture...

, The Netherlands) and Claudio O. Stocklehttp://www.bsyse.wsu.edu/stockle/main.htm (Washington State University
Washington State University
Washington State University is a public research university based in Pullman, Washington, in the Palouse region of the Pacific Northwest. Founded in 1890, WSU is the state's original and largest land-grant university...

, Pullman, Washington
Pullman, Washington
Pullman is the largest city in Whitman County, Washington, United States. The population was 24,675 at the 2000 census and 29,799 according to the 2010 census...

, U.S.
United States
The United States of America is a federal constitutional republic comprising fifty states and a federal district...

). Gianni joined the staff of agronomy
Agronomy
Agronomy is the science and technology of producing and using plants for food, fuel, feed, fiber, and reclamation. Agronomy encompasses work in the areas of plant genetics, plant physiology, meteorology, and soil science. Agronomy is the application of a combination of sciences like biology,...

 and agro-meteorology modelers of the Research Institute for Industrial Cropshttp://www.isci.it of Bologna
Bologna
Bologna is the capital city of Emilia-Romagna, in the Po Valley of Northern Italy. The city lies between the Po River and the Apennine Mountains, more specifically, between the Reno River and the Savena River. Bologna is a lively and cosmopolitan Italian college city, with spectacular history,...

 in 1999, and developed a large number of scientific contributions under the leaderhsip of Marcello Donatellihttp://www.sipeaa.it/mdon. In 2006-2009 he was appointed contractual agent at European Commission
European Commission
The European Commission is the executive body of the European Union. The body is responsible for proposing legislation, implementing decisions, upholding the Union's treaties and the general day-to-day running of the Union....

 - Joint Research Centre of Ispra
Ispra
Ispra is a comune and small town on the eastern shore of Lake Maggiore, in the province of Varese .Some of the main Institutes of the Joint Research Centre of the European Commission are located there, including the Institute for the Protection and the Security of the Citizen , the Institute for...

, Italy
Italy
Italy , officially the Italian Republic languages]] under the European Charter for Regional or Minority Languages. In each of these, Italy's official name is as follows:;;;;;;;;), is a unitary parliamentary republic in South-Central Europe. To the north it borders France, Switzerland, Austria and...

. In 2010, he became senior scientist at French National Institute of Agricultural Research (INRA)
Institut National de la Recherche Agronomique
The Institut National de la Recherche Agronomique is a French public research institute dedicated to scientific studies surrounding the problems of agriculture...

, Grassland Ecosystem Research Unit (UREP). In 2011, January 25, he had the Habilitation
Habilitation
Habilitation is the highest academic qualification a scholar can achieve by his or her own pursuit in several European and Asian countries. Earned after obtaining a research doctorate, such as a PhD, habilitation requires the candidate to write a professorial thesis based on independent...

 à Diriger de Recherches
from Blaise Pascal University
Blaise Pascal University
Blaise Pascal University , also known as"Université Blaise Pascal, Clermont-Ferrand II" or just Clermont-Ferrand II, is a public university with its main campus on in Clermont-Ferrand, France, with satellite locations in other parts of the region of Auvergne, including Vichy, Moulins, Montlucon,...

 of Clermont-Ferrand (France). He joined as member of the Italian Society for Agronomyhttp://www.siagr.org, the European Society for Agronomyhttp://www.esagr.org, the American Society of Agronomy
American Society of Agronomy
The American Society of Agronomy is a scientific and professional society of agronomists and scientists of related disciplines, principally in the United States but with a large number of non-U.S. members as well...

https://www.agronomy.org, and the International Environmental Modelling and Software Societyhttp://www.iemss.org/society. He is also affiliated to the Monte Pino Met European Research Observatoryhttp://www.fao.org/gtos/tems/tsite_show.jsp?TSITE_ID=3730.

With his writings (Tempi, August 11, 1999; La Discussione, March 24, 2004; La Discussione, August 9, 2004; La Discussione, November 9, 2004 (first part); La Discussione, November 9, 2004 (second part)) he became a supporter of Rocco Buttiglione
Rocco Buttiglione
Rocco Buttiglione is an Italian Christian Democrat politician and an academic.His nomination for a post as European Commissioner with a portfolio that was to include civil liberties, resulted in controversy as some political groups opposed him for his Roman Catholic views on homosexuality, despite...

. Other writings refer to ecclesial issues: e.g. baptism
Baptism
In Christianity, baptism is for the majority the rite of admission , almost invariably with the use of water, into the Christian Church generally and also membership of a particular church tradition...

 (30GIORNI, March 2002 http://www.30giorni.it/it/articolo.asp?id=258).

Model and method validation

Bellocchi's work in validation has had implications for model and analytical method assessment. Genuine insights in model results, as well as results from an analytical method, imply concomitant understandings of multiple aspects of quality assessment to be taken into account and formalized. The fuzzy set
Fuzzy set
Fuzzy sets are sets whose elements have degrees of membership. Fuzzy sets were introduced simultaneously by Lotfi A. Zadeh and Dieter Klaua in 1965 as an extension of the classical notion of set. In classical set theory, the membership of elements in a set is assessed in binary terms according to...

 theory formalized by Professor Lofti Zadeh at the University of California
University of California
The University of California is a public university system in the U.S. state of California. Under the California Master Plan for Higher Education, the University of California is a part of the state's three-tier public higher education system, which also includes the California State University...

 in 1965 was pointed out as having a direct use to assess numerical outcomes for its ability to aggregate multiple, possibly contradictory, evaluation
Evaluation
Evaluation is systematic determination of merit, worth, and significance of something or someone using criteria against a set of standards.Evaluation often is used to characterize and appraise subjects of interest in a wide range of human enterprises, including the arts, criminal justice,...

 measures. Many of the more basic principles of this theory are now generally accepted in many areas. Its application in a context of validation opened up to a new way to investigate results from a modelling process or an analytical method. In 2001, Bellocchi and co-workers firstly introduced the possibility to use fuzzy logic
Fuzzy logic
Fuzzy logic is a form of many-valued logic; it deals with reasoning that is approximate rather than fixed and exact. In contrast with traditional logic theory, where binary sets have two-valued logic: true or false, fuzzy logic variables may have a truth value that ranges in degree between 0 and 1...

 to evaluate model estimates at the Second International Symposium on Modelling Cropping Systems http://www.esagr.org/divisions/div2/florence2001/index.html (Florence
Florence
Florence is the capital city of the Italian region of Tuscany and of the province of Florence. It is the most populous city in Tuscany, with approximately 370,000 inhabitants, expanding to over 1.5 million in the metropolitan area....

, Italy
Italy
Italy , officially the Italian Republic languages]] under the European Charter for Regional or Minority Languages. In each of these, Italy's official name is as follows:;;;;;;;;), is a unitary parliamentary republic in South-Central Europe. To the north it borders France, Switzerland, Austria and...

), and in 2002 the same approach was internationally acknowledged (Agronomy Journal, volume 94, pages 1222-1233). Further extensions and applications followed (as reported in Authorship).

Multiple-metric aggregation

The procedure based on the multi-valued fuzzy set
Fuzzy set
Fuzzy sets are sets whose elements have degrees of membership. Fuzzy sets were introduced simultaneously by Lotfi A. Zadeh and Dieter Klaua in 1965 as an extension of the classical notion of set. In classical set theory, the membership of elements in a set is assessed in binary terms according to...

 introduced by Professor Lofti Zadeh, follows the Sugeno method of fuzzy inference (Information Sciences, volume 36, pages 59–83 http://www.elsevier.com/wps/find/journaldescription.cws_home/505730/description#description). Three membership classes are basically defined for all metrics used in the validation work, according to an expert judgment, i.e. Favorable (F), Unfavorable (U), and partial (or fuzzy) membership, using S-shaped curves as transition possibilities in the range F to U:



where: x = the value of the basic input; a = the lower bound of the transition interval [min(F, U)]; b = the upper bound of the transition interval [max(F, U)]; c = (a + b) /2. According to the equation, if a = F, then xa means x = F, and S(x;a;b) gives the degree of membership of the index value x to the set U. Its complement, 1 - S(x;a;b), gives the degree of membership of the index value x to the set F.

A two-stage design of a fuzzy-based rules’ inferring system is applied where firstly inputs with similar characteristics are aggregated into modules and then, using the same procedure, the modules can be aggregated into a second level integrated index called indicator. Both modules and indicator range from 0 to 1.

The control rules for estimating module values are based on logic relationships between inputs and outputs, expressed in linguistic terms by ‘if-then’ statements. For example, when two input variables (validation metrics) are aggregated four rules are required, formalized as:

____PREMISE____CONCLUSION

if x1 is F and x2 is F then yi is B1

if x1 is F and x2 is U then y2 is B2

if x1 is U and x2 is F then y3 is B3

if x1 is U and x2 is U then y4 is B4

where xi is an input variable, yi is an output variable and Bi is a conclusion (or expert weight). The value of each conjunction (… and …) is the minimum of the quantified fuzzy groups, which are obtained from complementary S-shaped distribution curves.

The output fuzzy sets for all the rules are then aggregated into a single fuzzy set
Fuzzy set
Fuzzy sets are sets whose elements have degrees of membership. Fuzzy sets were introduced simultaneously by Lotfi A. Zadeh and Dieter Klaua in 1965 as an extension of the classical notion of set. In classical set theory, the membership of elements in a set is assessed in binary terms according to...

. This group encompasses a range of output values, and is de-fuzzified in order to resolve a single crisp output value from the group (i.e. a value between 0 and 1). This approach uses the centroid method to obtain the representative non-fuzzy value for the output, as commonly adopted in the Sugeno-type systems. The expert reasoning runs as follows: if all input variables are F, the value of the module is 0 (good response according to all metrics used); if all indices are U, the value of the module is 1 (bad response according to all inputs used), while all the other combinations assume intermediate values. Limits F and U may come from experience, may be extracted from literature, or may be set by law. The weights can be chosen based on the analyst own experience in handling each input.

Authorship (selected)

See a full bibliography on Bellocchi's web site http://www.sipeaa.it/bellocchi.

Fuzzy logic and validation


  • Bellocchi G., De Giacomo M., Fori N., Mazzara M., Palmaccio E., Savini C., Di Domenicantonio C., Onori R., van den Eede G., 2010. Testing the interaction between analytical modules: an examples with Roundup Ready® soybean line GTS 40-3-2. BMC Biotechnology, 10:55 doi:10.1186/1472-6750-10-55. http://www.biomedcentral.com/bmcbiotechnol

  • Bellocchi G., Bertholet V., Hamels S., Moens W., Remacle J., van den Eede G., 2010. Fuzzy-logic based strategy for validation of multiplex methods: example with qualitative GMO assays. Transgenic Research, 19, 57-65. http://www.springerlink.com/content/100225

  • Bellocchi G., Rivington M., Donatelli M., Matthews K.B., 2010. Validation of biophysical models: issues and methodologies. A review. Agron. Sustain. Dev., 30, 109-130. http://www.agronomy-journal.org



  • Lievens A., Bellocchi G., De Bernardi D., Savini C., Mazzara M., Moens W., van den Bulcke M., van den Eede G., 2010. Use of pJANUSTM-02-001 as calibrator plasmid for GTS 40-3-2 (Roundup Ready Soybean) detection: an inter-laboratory trial assessment. Analytical and Bioanalytical Chemistry, 396, 2165-2173. http://www.springer.com/chemistry/analytical+chemistry/journal/216

  • Confalonieri R., Acutis M., Bellocchi G., Donatelli M., 2009. Multi-metric evaluation of the models WARM, CropSyst, and WOFOST for rice. Ecological Modelling, 220, 1395-1410. http://www.elsevier.com/locate/ecolmodel

  • Confalonieri R., Bellocchi G., Boschetti M., Acutis M., 2009. Evaluation of parameterization strategies for rice modelling. Spanish Journal of Agricultural Research, 7, 680-686. http://www.inia.es/SJAR

  • Bellocchi G., Acutis M., Paoletti C., Confalonieri R., Trevisiol P., Grazioli E., Delobel C., Savini C., Mazzara M., van den Eede G., 2008. Expanding horizons in the validation of GMO analytical methods: fuzzy-based expert systems. Food Analytical Methods, 2, 126-135. http://www.springerlink.com/content/120914

  • Bellocchi G., Donatelli M., Acutis M., Habyarimana E., 2008. A software component for model output evaluation. iEMSs 2008 International Congress on Environmental Modelling and Software: "Integrating sciences and information technology for environmental assessment and decision making". International Environmental Modelling and Software Society, 7–10 July, Barcelona, Spain, 2, 1063-1069. http://www.iemss.org/iemss2008

  • Bellocchi G., Foscarini F., Canonico M., van den Eede G., 2008. DANA: a platform-independent component for data analysis and assessment. 1st Global Conference on GMO Analysis, 24–27 June, Villa Erba, Como, Italy, 40. http://gmoglobalconference.jrc.ec.europa.eu

  • Bellocchi G., Foscarini F., Canonico M., van den Eede G., 2008. Web components for development of computational methods: example with fuzzy logic rules. iEMSs 2008 International Congress on Environmental Modelling and Software: "Integrating sciences and information technology for environmental assessment and decision making". International Environmental Modelling and Software Society, 7–10 July, Barcelona, Spain, 2, 1077-1085. http://www.iemss.org/iemss2008

  • Leimanis S., Hamels S., Nazé F., Mbongolo Mbella G., Sneyers M., Hochegger R., Broll H., Roth L., Dallmann K., Micsinai A., La Paz J.L., Pla M., Brünen-Nieweler C., Papazova N., Taverniers I., Hess N., Kirschneit B., Bertheau Y., Audeon C., Laval V., Busch U., Pecoraro S., Neumann K., Rösel S., van Dijk J., Kok E., Bellocchi G., Foti N., Mazzara M., Moens W., Remacle J., van Den Eede G., 2008. Validation of a GMO multiplex screening assay by the use of microarray. Eur. Food Res. Technol., 227, 1621-1632. http://www.springer.com/life+sci/food+science/journal/217.

  • Acutis M., Trevisiol P., Confalonieri R., Bellocchi G., Grazioli E., Van Den Eede G., Paoletti C., 2007. Analytical method performance evaluation (AMPE) - A software tool for analytical method validation. Journal of AOAC International, 90, 1432-1438. http://www.aoac.org/pubs/JOURNAL/years.htm

  • Bellocchi G., 2007. Using fuzzy logic to develop a system to test solar radiation models. In: Smith J., Smith P. (eds.) Introduction to environmental modelling - Chapter 3: How to evaluate a model. Oxford University Press
    Oxford University Press
    Oxford University Press is the largest university press in the world. It is a department of the University of Oxford and is governed by a group of 15 academics appointed by the Vice-Chancellor known as the Delegates of the Press. They are headed by the Secretary to the Delegates, who serves as...

    , Oxford
    Oxford
    The city of Oxford is the county town of Oxfordshire, England. The city, made prominent by its medieval university, has a population of just under 165,000, with 153,900 living within the district boundary. It lies about 50 miles north-west of London. The rivers Cherwell and Thames run through...

    , United Kingdom
    United Kingdom
    The United Kingdom of Great Britain and Northern IrelandIn the United Kingdom and Dependencies, other languages have been officially recognised as legitimate autochthonous languages under the European Charter for Regional or Minority Languages...

    , web link from the book at http://www.oup.com/uk/orc/bin/9780199272068/01student/weblinks/ch03/box3a.pdf.

  • Criscuolo L., Donatelli M., Bellocchi G., Acutis M., 2007. A component and a software application for model output evaluation. Farming Systems Design 2007, an international symposium on Methodologies for Integrated Analysis of Farm Production Systems, 10–12 September, Catania
    Catania
    Catania is an Italian city on the east coast of Sicily facing the Ionian Sea, between Messina and Syracuse. It is the capital of the homonymous province, and with 298,957 inhabitants it is the second-largest city in Sicily and the tenth in Italy.Catania is known to have a seismic history and...

    , Italy
    Italy
    Italy , officially the Italian Republic languages]] under the European Charter for Regional or Minority Languages. In each of these, Italy's official name is as follows:;;;;;;;;), is a unitary parliamentary republic in South-Central Europe. To the north it borders France, Switzerland, Austria and...

    , 2, 211-212. http://www.iemss.org/farmsys07


  • Diodato N., Bellocchi G., 2007. Modelling reference evapotranspiration over complex terrains from minimum climatological data. Water Resources Research, 43, doi:10.1029/2006WR005405. http://www.agu.org/journals/wr

  • Hamels S., Leimanis S., Mazzara M., Bellocchi G., Foti N., Moens W., Remacle J., van Den Eede G., 2007. Microarray method for the screening of EU approved GMOs by identification of their genetic elements. Report of validation coordinated by the Community Reference Laboratory for GM Food and Feed of the Joint Research Centre, Institute for Health and Consumer Protection, Biotechnology and GMOs Unit, Ispra, Italy. http://bgmo.jrc.ec.europa.eu/home/documents/report-JRC-EAT.pdf

  • Bellocchi G., Grazioli E., Acutis M., Confalonieri R., Paoletti C., Trevisiol P., 2006. Application of software AMPE to evaluate the performance of GM grains detection methods. 9th European Society for Agronomy Congress, 4–7 September, Warsaw
    Warsaw
    Warsaw is the capital and largest city of Poland. It is located on the Vistula River, roughly from the Baltic Sea and from the Carpathian Mountains. Its population in 2010 was estimated at 1,716,855 residents with a greater metropolitan area of 2,631,902 residents, making Warsaw the 10th most...

    , Poland
    Poland
    Poland , officially the Republic of Poland , is a country in Central Europe bordered by Germany to the west; the Czech Republic and Slovakia to the south; Ukraine, Belarus and Lithuania to the east; and the Baltic Sea and Kaliningrad Oblast, a Russian exclave, to the north...

    , 743-744. http://www.esa.org.pl



  • Bellocchi G., 2004. Appendix A: Numerical indices and test statistics for model evaluation. In Pachepsky Y., Rawls W. (eds.) Development of pedotransfer functions in soil hydrology. Elsevier, Amsterdam
    Amsterdam
    Amsterdam is the largest city and the capital of the Netherlands. The current position of Amsterdam as capital city of the Kingdom of the Netherlands is governed by the constitution of August 24, 1815 and its successors. Amsterdam has a population of 783,364 within city limits, an urban population...

    , The Netherlands, 394-400. http://www.elsevier.com/wps/find/bookdescription.cws_home/704162/description#description

  • Bellocchi G., Smith J., Donatelli M., Smith P., 2004. Improvements in time mismatch analysis of model estimates. 8th European Society for Agronomy Congress, 11–15 July, Copenhagen
    Copenhagen
    Copenhagen is the capital and largest city of Denmark, with an urban population of 1,199,224 and a metropolitan population of 1,930,260 . With the completion of the transnational Øresund Bridge in 2000, Copenhagen has become the centre of the increasingly integrating Øresund Region...

    , Denmark
    Denmark
    Denmark is a Scandinavian country in Northern Europe. The countries of Denmark and Greenland, as well as the Faroe Islands, constitute the Kingdom of Denmark . It is the southernmost of the Nordic countries, southwest of Sweden and south of Norway, and bordered to the south by Germany. Denmark...

    , 221-222. http://www.esacopenhagen2004.kvl.dk

  • Donatelli M., Wösten J.H.M., Bellocchi G., 2004. Evaluation of pedotransfer functions. In Pachepsky Y., Rawls W. (eds.) Development of pedotransfer functions in soil hydrology. Elsevier, Amsterdam
    Amsterdam
    Amsterdam is the largest city and the capital of the Netherlands. The current position of Amsterdam as capital city of the Kingdom of the Netherlands is governed by the constitution of August 24, 1815 and its successors. Amsterdam has a population of 783,364 within city limits, an urban population...

    , The Netherlands, 400-405. http://www.elsevier.com/wps/find/bookdescription.cws_home/704162/description#description

  • Fila G., Bellocchi G., 2004. Appendix B: Fuzzy expert systems. In Pachepsky Y., Rawls W. (eds.) Development of pedotransfer functions in soil hydrology. Elsevier, Amsterdam
    Amsterdam
    Amsterdam is the largest city and the capital of the Netherlands. The current position of Amsterdam as capital city of the Kingdom of the Netherlands is governed by the constitution of August 24, 1815 and its successors. Amsterdam has a population of 783,364 within city limits, an urban population...

    , The Netherlands, 357-363. http://www.elsevier.com/wps/find/bookdescription.cws_home/704162/description#description

  • Fila G., Donatelli M., Bellocchi G., 2004. An IRENE_DLL application to evaluate estimates from pedotrasnfer functions by integrated indices. 8th European Society for Agronomy Congress, 11–15 July, Copenhagen, Denmark, 253-254. http://www.esacopenhagen2004.kvl.dk


  • Fila G., Bellocchi G., Donatelli M., Acutis M., 2003. IRENE_DLL: A class library for evaluating numerical estimates. Agronomy Journal, 95, 1330-1333. http://agron.scijournals.org

  • Bellocchi G., Acutis M., Fila G., Donatelli M., 2002. An indicator of solar radiation model performance based on a fuzzy expert system. Agronomy Journal, 94, 1222-1233. http://agron.scijournals.org

  • Fila G., Bellocchi G., Donatelli M., Acutis M., 2001. IRENE: a software to test model performance. 2nd International Symposium on Modelling Cropping Systems, 16–18 July, Florence
    Florence
    Florence is the capital city of the Italian region of Tuscany and of the province of Florence. It is the most populous city in Tuscany, with approximately 370,000 inhabitants, expanding to over 1.5 million in the metropolitan area....

    , Italy
    Italy
    Italy , officially the Italian Republic languages]] under the European Charter for Regional or Minority Languages. In each of these, Italy's official name is as follows:;;;;;;;;), is a unitary parliamentary republic in South-Central Europe. To the north it borders France, Switzerland, Austria and...

    , 215-216. http://www.esagr.org/divisions/div2/florence2001/index.html

  • Bellocchi G., Acutis M., Donatelli M., Fila G., 2001. An indicator of solar radiation model performance based on fuzzy rules. 2nd International Symposium on Modelling Cropping Systems, 16–18 July, Florence
    Florence
    Florence is the capital city of the Italian region of Tuscany and of the province of Florence. It is the most populous city in Tuscany, with approximately 370,000 inhabitants, expanding to over 1.5 million in the metropolitan area....

    , Italy
    Italy
    Italy , officially the Italian Republic languages]] under the European Charter for Regional or Minority Languages. In each of these, Italy's official name is as follows:;;;;;;;;), is a unitary parliamentary republic in South-Central Europe. To the north it borders France, Switzerland, Austria and...

    , 49-50. http://www.esagr.org/divisions/div2/florence2001/index.html

External links

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