Gianni Bellocchi
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Gianni Bellocchi (born July 22, 1969) is a researcher in agricultural and related sciences. He is credited with the development of approaches and tools in
validation Validation may refer to: * Data validation, in computer science, ensuring that data inserted into an application satisfies defined formats and other input criteria * Forecast verification, validating and verifying prognostic output from a numerica ...
of estimates and measurements. Introduction of
fuzzy logic Fuzzy logic is a form of many-valued logic in which the truth value of variables may be any real number between 0 and 1. It is employed to handle the concept of partial truth, where the truth value may range between completely true and completely ...
in the context of validation is often considered to be the most significant contribution to the field of
model A model is an informative representation of an object, person or system. The term originally denoted the Plan_(drawing), plans of a building in late 16th-century English, and derived via French and Italian ultimately from Latin ''modulus'', a mea ...
and
method Method ( grc, μέθοδος, methodos) literally means a pursuit of knowledge, investigation, mode of prosecuting such inquiry, or system. In recent centuries it more often means a prescribed process for completing a task. It may refer to: *Scien ...
validation. He also helped spark the
validation Validation may refer to: * Data validation, in computer science, ensuring that data inserted into an application satisfies defined formats and other input criteria * Forecast verification, validating and verifying prognostic output from a numerica ...
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.


Biography

Gianni Bellocchi was born in
Acquapendente Acquapendente is a city and ''comune'' in the province of Viterbo, in Lazio (Italy). Acquapendente is a centre for the agricultural production of vegetables and wine, and has a tradition of pottery craftsmanship. History The area of modern Acquapen ...
and spent formative years in
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 agricultural center producing potatoes, olive oil, garlic, onions, cereals and grapes. A second source of revenue is tourism. Ge ...
, in province of
Viterbo Viterbo (; Viterbese: ; lat-med, Viterbium) is a city and ''comune'' in the Lazio region of central Italy, the capital of the province of Viterbo. It conquered and absorbed the neighboring town of Ferento (see Ferentium) in its early history. ...
(
Italy Italy ( it, Italia ), officially the Italian Republic, ) or the Republic of Italy, is a country in Southern Europe. It is located in the middle of the Mediterranean Sea, and its territory largely coincides with the homonymous geographical re ...
), near
Lago di Bolsena Lake Bolsena ( it, Lago di Bolsena) is a lake of volcanic origin in the northern part of the province of Viterbo called ''Alto Lazio'' ("Upper Latium") or ''Tuscia'' in central Italy. It is the largest volcanic lake in Europe. Roman historic ...
. His parents, Giuseppe (born 1944) and Adriana (born 1946), are retired farmers. He attended at primary and middle schools in his village, and a
agricultural high school
in
Bagnoregio Bagnoregio is a ''comune'' (municipality) in the Province of Viterbo in the Italian region of Lazio, located about northwest of Rome and about north of Viterbo. History The current main town was in ancient times a suburb of the hill town in ...
. Starting in 1988, he studied
agricultural sciences Agricultural science (or agriscience for short) is a broad multidisciplinary field of biology that encompasses the parts of exact, natural, economic and social sciences that are used in the practice and understanding of agriculture. Profession ...
at the
University of Pisa The University of Pisa ( it, Università di Pisa, UniPi), officially founded in 1343, is one of the oldest universities in Europe. History The Origins The University of Pisa was officially founded in 1343, although various scholars place ...
and at the
Sant'Anna School of Advanced Studies , latin_name = , image = , motto = L'eccellenza come disciplina , mottoeng = Committed to excellence , established = 1987 from previously existing institutions , type = State-supported , administrative_staff ...
of Pisa. He graduated in 1993 and got a
PhD PHD or PhD may refer to: * Doctor of Philosophy (PhD), an academic qualification Entertainment * '' PhD: Phantasy Degree'', a Korean comic series * ''Piled Higher and Deeper'', a web comic * Ph.D. (band), a 1980s British group ** Ph.D. (Ph.D. albu ...
in 1997. He learned statistical data processing and modelling approaches from entomologist Fabio Quaglia, physicist Franco Martorana

and modellers Frits W.T. Penning de Vrie

(
Wageningen University Wageningen University & Research (also known as Wageningen UR; abbreviation: WUR) is a public university in Wageningen, Netherlands, specializing in life sciences with a focus on agriculture, technical and engineering subjects. It is a globally ...
,
Netherlands ) , anthem = ( en, "William of Nassau") , image_map = , map_caption = , subdivision_type = Sovereign state , subdivision_name = Kingdom of the Netherlands , established_title = Before independence , established_date = Spanish Netherl ...
) and Claudio O. Stockle

(
Washington State University Washington State University (Washington State, WSU, or informally Wazzu) is a public land-grant research university with its flagship, and oldest, campus in Pullman, Washington. Founded in 1890, WSU is also one of the oldest land-grant unive ...
,
Pullman, Washington Pullman () is the largest city in Whitman County, located in southeastern Washington within the Palouse region of the Pacific Northwest. The population was 29,799 at the 2010 census, and estimated to be 34,506 in 2019. Originally founded as Thr ...
,
U.S. The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or America, is a country Continental United States, primarily located in North America. It consists of 50 U.S. state, states, a Washington, D.C., ...
). Gianni joined the staff of
agronomy Agronomy is the science and technology of producing and using plants by agriculture for food, fuel, fiber, chemicals, recreation, or land conservation. Agronomy has come to include research of plant genetics, plant physiology, meteorology, and ...
and agro-meteorology modelers of the Research Institute for Industrial Crops

of
Bologna Bologna (, , ; egl, label= Emilian, Bulåggna ; lat, Bononia) is the capital and largest city of the Emilia-Romagna region in Northern Italy. It is the seventh most populous city in Italy with about 400,000 inhabitants and 150 different nat ...
in 1999, and developed a large number of scientific contributions under the leadership of Marcello Donatelli

. In 2006–2009 he was appointed contractual agent at
European Commission The European Commission (EC) is the executive of the European Union (EU). It operates as a cabinet government, with 27 members of the Commission (informally known as "Commissioners") headed by a President. It includes an administrative body o ...
-
Joint Research Centre The Joint Research Centre (JRC) is the European Commission's science and knowledge service which employs scientists to carry out research in order to provide independent scientific advice and support to European Union (EU) policy. The JRC is ...
of
Ispra Ispra is a ''comune'' and small town on the eastern coast of Lake Maggiore, in the province of Varese (Lombardy, northern Italy). Toponymy Attested by the name ''Ispira'' (712), ''Ispira'' (XIV). Appears as ''Ispratium'' in Aegidius Tschudi's '' ...
,
Italy Italy ( it, Italia ), officially the Italian Republic, ) or the Republic of Italy, is a country in Southern Europe. It is located in the middle of the Mediterranean Sea, and its territory largely coincides with the homonymous geographical re ...
. In 2010, he became senior scientist at French National Institute for Agricultural Research (INRA), Grassland Ecosystem Research Unit (UREP) and, as of February 1, 2014, research director. In 2011, January 25, he got the ''
Habilitation Habilitation is the highest university degree, or the procedure by which it is achieved, in many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, usually including a ...
à Diriger des Recherches'' from
Blaise Pascal University Blaise Pascal University (french: Université Blaise-Pascal), also known as Université Blaise Pascal, Clermont-Ferrand II or just Clermont-Ferrand II, was a public university with its main campus on in Clermont-Ferrand, France, with satellite l ...
of Clermont-Ferrand (France). He joined as member of the Italian Society for Agronomy

the European Society for Agronomy

, the American Society of Agronomy

and the International Environmental Modelling and Software Society

. As affiliated to the Monte Pino Met European Research Observatory

he is co-editor of the book
Storminess and Environmental Change
(Diodato and Bellocchi, 2014
Springer
. He coordinated in 2013-2016 the projec
MODEXTREME
of the 7th
Framework Programme The Framework Programmes for Research and Technological Development, also called Framework Programmes or abbreviated FP1 to FP9, are funding programmes created by the European Union/European Commission to support and foster research in the Europea ...
funded by the
European Union The European Union (EU) is a supranational political and economic union of member states that are located primarily in Europe. The union has a total area of and an estimated total population of about 447million. The EU has often been des ...
.


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 In mathematics, fuzzy sets (a.k.a. uncertain sets) are sets whose elements have degrees of membership. Fuzzy sets were introduced independently by Lotfi A. Zadeh in 1965 as an extension of the classical notion of set. At the same time, defined a ...
theory formalized by Professor
Lofti Zadeh Lotfi Aliasker Zadeh (; az, Lütfi Rəhim oğlu Ələsgərzadə; fa, لطفی علی‌عسکرزاده; 4 February 1921 – 6 September 2017) was a mathematician, computer scientist, electrical engineer, artificial intelligence researcher, an ...
at the
University of California The University of California (UC) is a public land-grant research university system in the U.S. state of California. The system is composed of the campuses at Berkeley, Davis, Irvine, Los Angeles, Merced, Riverside, San Diego, San Francisco, ...
in 1965 was pointed out as having a direct use to assess numerical outcomes for its ability to aggregate multiple, possibly contradictory,
evaluation Evaluation is a systematic determination and assessment of a subject's merit, worth and significance, using criteria governed by a set of standards. It can assist an organization, program, design, project or any other intervention or initiative ...
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 is a form of many-valued logic in which the truth value of variables may be any real number between 0 and 1. It is employed to handle the concept of partial truth, where the truth value may range between completely true and completely ...
to evaluate model estimates at the Second International Symposium on Modelling Cropping System

(
Florence Florence ( ; it, Firenze ) is a city in Central Italy and the capital city of the Tuscany region. It is the most populated city in Tuscany, with 383,083 inhabitants in 2016, and over 1,520,000 in its metropolitan area.Bilancio demografico an ...
,
Italy Italy ( it, Italia ), officially the Italian Republic, ) or the Republic of Italy, is a country in Southern Europe. It is located in the middle of the Mediterranean Sea, and its territory largely coincides with the homonymous geographical re ...
), and in 2002 the same approach was internationally acknowledged. Further extensions and applications followed (as reported in
Authorship An author is the writer of a book, article, play, mostly written work. A broader definition of the word "author" states: "''An author is "the person who originated or gave existence to anything" and whose authorship determines responsibility f ...
).


Fuzzy logic


Multiple-metric aggregation

The procedure based on the multi-valued
fuzzy set In mathematics, fuzzy sets (a.k.a. uncertain sets) are sets whose elements have degrees of membership. Fuzzy sets were introduced independently by Lotfi A. Zadeh in 1965 as an extension of the classical notion of set. At the same time, defined a ...
introduced by Professor
Lofti Zadeh Lotfi Aliasker Zadeh (; az, Lütfi Rəhim oğlu Ələsgərzadə; fa, لطفی علی‌عسکرزاده; 4 February 1921 – 6 September 2017) was a mathematician, computer scientist, electrical engineer, artificial intelligence researcher, an ...
, follows the Sugeno method of fuzzy inference. 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: S(x;a;b)=\begin0 & x \le a\\ \frac & a \le x \le c\\ 1-\frac & c \le x \le b\\ 1 & b\le x\end where: ''x'' = the value of the basic input; ''a'' = the lower bound of the transition interval in(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 ''x'' ≤ ''a'' 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 In mathematics, fuzzy sets (a.k.a. uncertain sets) are sets whose elements have degrees of membership. Fuzzy sets were introduced independently by Lotfi A. Zadeh in 1965 as an extension of the classical notion of set. At the same time, defined a ...
for all the rules are then aggregated into a single
fuzzy set In mathematics, fuzzy sets (a.k.a. uncertain sets) are sets whose elements have degrees of membership. Fuzzy sets were introduced independently by Lotfi A. Zadeh in 1965 as an extension of the classical notion of set. At the same time, defined a ...
. 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 sit


Fuzzy logic and validation

* Bellocchi G., Rivington M., Matthews K., Acutis M., 2015. Deliberative processes for comprehensive evaluation of agroecological models. A review. Agronomy for Sustainable Development, 35, 589-605

* Alexandrov G.A., Ames G., Bellocchi G., Bruen M., Crout N., Erechtchoukova M., Hildebrandt A., Hoffman F., Jackisch C., Khaiter P., Mannina G., Matsunaga T., Purucker S.T., Rivington M., Samaniego L., 2011. Technical assessment and evaluation of environmental models and software: Letter to the Editor. Environmental Modelling and Software, 26, 328-336

* 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

* 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

* Bellocchi G., Rivington M., Donatelli M., Matthews K.B., 2010. Validation of biophysical models: issues and methodologies. A review. Agronomy for Sustainable Development, 30, 109-130

* Bellocchi G., Savini C., van den Bulcke M., Mazzara M., van den Eede G., 2010. Fuzzy-logic based procedures for GMO analysis. Accreditation and Quality Assurance, 15, 637-641

* Foscarini F., Bellocchi G., Confalonieri R., Savini C., van den Eede G., 2010. Sensitivity analysis in fuzzy systems: integration of SimLab and DANA. Environmental Modelling & Software, 25, 1256–1260

* 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

* 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

* Confalonieri R., Bellocchi G., Boschetti M., Acutis M., 2009. Evaluation of parameterization strategies for rice modelling. Spanish Journal of Agricultural Research, 7, 680-686

* 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

* 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

* 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

* 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

* 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. European Food Research Technology, 227, 1621–1632

* 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

* 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 (OUP) is the university press of the University of Oxford. It is the largest university press in the world, and its printing history dates back to the 1480s. Having been officially granted the legal right to print books ...
,
Oxford Oxford () is a city in England. It is the county town and only city of Oxfordshire. In 2020, its population was estimated at 151,584. It is north-west of London, south-east of Birmingham and north-east of Bristol. The city is home to the ...
,
United Kingdom The United Kingdom of Great Britain and Northern Ireland, commonly known as the United Kingdom (UK) or Britain, is a country in Europe, off the north-western coast of the continental mainland. It comprises England, Scotland, Wales and North ...
, web link from the book at http://fdslive.oup.com/www.oup.com/orc/resources/geography/smith_smith/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 (, , Sicilian and ) is the second largest municipality in Sicily, after Palermo. Despite its reputation as the second city of the island, Catania is the largest Sicilian conurbation, among the largest in Italy, as evidenced also by ...
,
Italy Italy ( it, Italia ), officially the Italian Republic, ) or the Republic of Italy, is a country in Southern Europe. It is located in the middle of the Mediterranean Sea, and its territory largely coincides with the homonymous geographical re ...
, 2, 211-212

* Diodato N., Bellocchi G., 2007. Modelling solar radiation over complex terrains using monthly climatological data. Agricultural and Forest Meteorology, 144, 111-126

* Diodato N., Bellocchi G., 2007. Modelling reference evapotranspiration over complex terrains from minimum climatological data. Water Resources Research, 43,

* 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

* 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 ( pl, Warszawa, ), officially the Capital City of Warsaw,, abbreviation: ''m.st. Warszawa'' is the capital and largest city of Poland. The metropolis stands on the River Vistula in east-central Poland, and its population is officia ...
,
Poland Poland, officially the Republic of Poland, is a country in Central Europe. It is divided into 16 administrative provinces called voivodeships, covering an area of . Poland has a population of over 38 million and is the fifth-most populous ...
, 743-744

* Fila G., Donatelli M., Bellocchi G., 2006. PTFIndicator: an IRENE_DLL-based application to evaluate estimates from pedotransfer functions by integrated indices. Environmental Modelling and Software, 21, 107-110

* Rivington M., Bellocchi G., Matthews K.B., Buchan K., 2005. A detailed evaluation of methods to estimate solar radiation data for use in simulation models and experimental analysis. Agricultural and Forest Meteorology, 135, 228-243

* 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 ( , , , lit. ''The Dam on the River Amstel'') is the Capital of the Netherlands, capital and Municipalities of the Netherlands, most populous city of the Netherlands, with The Hague being the seat of government. It has a population ...
,
Netherlands ) , anthem = ( en, "William of Nassau") , image_map = , map_caption = , subdivision_type = Sovereign state , subdivision_name = Kingdom of the Netherlands , established_title = Before independence , established_date = Spanish Netherl ...
, 394-400

* 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 ( or .; da, København ) is the capital and most populous city of Denmark, with a proper population of around 815.000 in the last quarter of 2022; and some 1.370,000 in the urban area; and the wider Copenhagen metropolitan ar ...
,
Denmark ) , song = ( en, "King Christian stood by the lofty mast") , song_type = National and royal anthem , image_map = EU-Denmark.svg , map_caption = , subdivision_type = Sovereign state , subdivision_name = Danish Realm, Kingdom of Denmark ...
, 221-222

* 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 ( , , , lit. ''The Dam on the River Amstel'') is the Capital of the Netherlands, capital and Municipalities of the Netherlands, most populous city of the Netherlands, with The Hague being the seat of government. It has a population ...
,
Netherlands ) , anthem = ( en, "William of Nassau") , image_map = , map_caption = , subdivision_type = Sovereign state , subdivision_name = Kingdom of the Netherlands , established_title = Before independence , established_date = Spanish Netherl ...
, 400-405

* 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 ( , , , lit. ''The Dam on the River Amstel'') is the Capital of the Netherlands, capital and Municipalities of the Netherlands, most populous city of the Netherlands, with The Hague being the seat of government. It has a population ...
,
Netherlands ) , anthem = ( en, "William of Nassau") , image_map = , map_caption = , subdivision_type = Sovereign state , subdivision_name = Kingdom of the Netherlands , established_title = Before independence , established_date = Spanish Netherl ...
, 357-363

* 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

* Fila G., Bellocchi G., Acutis M., Donatelli M., 2003. IRENE: a software to evaluate model performance. European Journal of Agronomy, 18, 369-372

* Fila G., Bellocchi G., Donatelli M., Acutis M., 2003. IRENE_DLL: A class library for evaluating numerical estimates. Agronomy Journal, 95, 1330–1333

* 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

* 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 ( ; it, Firenze ) is a city in Central Italy and the capital city of the Tuscany region. It is the most populated city in Tuscany, with 383,083 inhabitants in 2016, and over 1,520,000 in its metropolitan area.Bilancio demografico an ...
,
Italy Italy ( it, Italia ), officially the Italian Republic, ) or the Republic of Italy, is a country in Southern Europe. It is located in the middle of the Mediterranean Sea, and its territory largely coincides with the homonymous geographical re ...
, 215-216

* 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 ( ; it, Firenze ) is a city in Central Italy and the capital city of the Tuscany region. It is the most populated city in Tuscany, with 383,083 inhabitants in 2016, and over 1,520,000 in its metropolitan area.Bilancio demografico an ...
,
Italy Italy ( it, Italia ), officially the Italian Republic, ) or the Republic of Italy, is a country in Southern Europe. It is located in the middle of the Mediterranean Sea, and its territory largely coincides with the homonymous geographical re ...
, 49-50


References


External links


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{{DEFAULTSORT:Bellocchi, Gianni 1969 births Living people 21st-century Italian scientists Italian agronomists