What is CoDA?
...parts of a whole...
Compositional Data Analysis (CoDA) refers to the analysis of compositional data (CoDa), which have been defined historically as random vectors with strictly positive components whose sum is constant (e.g., 100, one, a million). More recently, the term covers all those vectors representing parts of a whole which only carry relative information, thus including not only parts per unit or percentages, but also molar compositions.
Typical examples in different fields are: geology (geochemical elements), economy (income/expenditure distribution),
medicine (body composition: fat, bone, lean), questionnaire surveys (ipsative data), food industry (food composition: fat, sugar, etc), chemistry (chemical composition), ecology (abundance of different species), paleontology (foraminifera taxa), agriculture (nutrient balance ionomics), sociology (time-use surveys), environmental sciences (soil contamination), and genetics (genotype frequency). This type of data appears in most applications, and the interest and importance of consistent statistical methods cannot be underestimated. Although the concern of the problems related to them was kept alive mainly by researchers from the field of Geosciences, in particular by members of the International Association for Mathematical Geosciences, the awareness of coherent methods is growing in the environmental and biological sciences.
Why choose us
...forum for the exchange...
This hot topic of research has nowadays a broad impact in these fields. However, it took a long time to find a solution to the problem of how to perform a proper statistical analysis of this type of data, i.e. to solve the problem of the spurious correlation, as it was named by Karl Pearson back in 1897, or the closure problem as called by Felix Chayes in the 1960's. Because standard statistical techniques loose their applicability and classical interpretation when applied to compositional data, new techniques were needed. No theoretically sound solution was proposed until the 1980's, when John Aitchison set forth a consistent theory based on log-ratios. Later developments have shown that the mathematical foundation of a proper statistical analysis for this type of data is based on the definition of a specific geometry on the simplex (the sample space of compositional data). Based on it, is possible to rigorously develop any statistical analysis (cluster analysis, discriminant analysis, factor analysis, regression models, to mention just a few).
Practitioners interested in CoDa find in this web site a forum for the exchange of information, material and ideas.
This web site has been planned, and is currently maintained, by the members of the
Research Group on Compositional Data Analysis
at the Dept. Informàtica, Matemàtica Aplicada i Estadística
(IMAE-UdG) under the
projects COmpositional Data Analysis and RElated meThOdS (CODA-RETOS) and COmpositional and Spatial Data Analysis (COSDA).
The core of the group belongs to the University of Girona (UdG),
and includes members from the Technical University of Catalonia (UPC),
and Biomathematics & Statistics Scotland (BioSS). All the researchers whose interest goes from real case studies to the mathematical foundations of CoDA are welcomed! Join us!
Work team
...let's start working on...
Vera Pawlowsky-Glahn

PhD in Mathematics. Emeritus Professor (UdG).
Germà Coenders

PhD in Management Sciences. Full Professor (UdG).
Jan Graffelman

PhD in Statistics. Titular Professor (UPC).
Glòria Mateu-Figueras

PhD in Statistics. Associated Professor (UdG).
Santiago Thió-Fdz.-de-Henestrosa

PhD in Computer Science. Titular Professor (UdG).
Juan José Egozcue

PhD in Physics. Emeritus Professor
(UPC).
Pepus Daunis-i-Estadella

PhD in Statistics. Titular Professor (UdG).
Eusebi Jarauta

PhD in Industrial Engineering. Titular Professor (UPC).
Maribel Ortego

PhD in Mathematics. Associated Professor (UPC).
Marina Vives-Mestres

PhD in Statistics. University lecturer (UdG).
Carles Barceló-Vidal

PhD in Statistics. Emeritus Professor (UdG).
Berta Ferrer-Rosell

PhD in Tourism. Visiting lecturer at University of Lleida (UdL).
Josep A. Martín-Fernández

PhD in Statistics. Full Professor (UdG).
Javier Palarea-Albaladejo

PhD in Statistics. Senior Statistical Scientist (BioSS).
Who is Who?
...some CoDa-people...
Name:ADEBANJI, ATINUKE
Email: TINUADEBANJI@YAHOO.COMAddress: Department of Mathematics, KNUST, Kumasi, GhanaInstitution: KWAME NKRUMAH UNIVERSITY OF SCIENCE AND TECHNOLOGY, KUMASI
Position: Lecturer
Name:Albanese, Stefano Albanese
Email: stefano.albanese@unina.itAddress: VIA MEZZOCANNONE 8Institution: Univesità di Napoli FEDERICO II
Position: Professor
Name:Albayrak, Serkan Albayrak
Email: rfsrkn@gmail.comAddress: IzmirInstitution: Yasar University
Position: Assistant Professor
Name:Ali, Zeeshan
Email: zeeshan.ali@warwick.ac.ukAddress: 7 Spencer Road, Earlsdon, Coventry, UKInstitution: The University of Warwick, UK
Position: PhD (Statistics) Student
Name:Antony, Edilber
Email: echipanap@unjbg.edu.peAddress: PERUInstitution: UNJBG
Position: STUDENT
Name:Asis, Constancio
Email: asis.tony@gmail.comAddress: 2 Calder Court, Malak, NT AustraliaInstitution: Department of Primary Industry and Fisheries Northern Terriotory Government Australia
Position: Senior Research Agronomist
Name:Balkin, Alexander
Email: balkinas@yandex.ruAddress: 11, Pionerskaya st. 460000 Orenburg, RussiaInstitution: Institute for cellular and intracellular symbiosis
Position: Researcher
Name:Bandeira, Paulo Felipe
Email: paulo.bandeira@urca.brInstitution: Universidade Regional do Cariri
Position: Professor
Name:Barceló-Vidal, Carles
Email: carles.barcelo@udg.eduAddress: Dept. IMAE, Edifici P4, Campus Montilivi, E-17071 Girona (Spain)Institution: Universitat de Girona
Position: Emeritus Titular Professor
Name:Barrientos, Mauricio
Email: mauricio.barrientos@ki.seAddress: StockholmInstitution: Karolinska Institutet
Position: Ph. D student
Name:Bayari, Eric Enzula
Email: ericenzula@yahoo.comAddress: KNUST Kumasi, GhanaInstitution: KNUST
Position: Postgraduate Student
Name:Braga, Luis
Email: obsuni@observatoriodauniversidade.blog.brAddress: c.p 2386 20010-974 Rio de Janeiro RJ BrasilInstitution: UFRJ
Position: Professor
Name:CAHUANA CUBA, Julio Cesar
Email: juliocahuana@gmail.comAddress: Av. Independencia S/NInstitution: Universidad Nacional de San Agustin de Arequipa
Position: Geologo
Name:Cantadore, Claudio
Email: klaaskanta27182@gmail.comAddress: éiazza Mazzini 15, 13100 Vercelli, ItalyInstitution: Selfemployed
Position: Geologist
Name:Cardoso, Margarida
Email: margarida.cardoso@iscte.ptInstitution: ISCTE-IUL
Position: Professor
Name:carpita, stefano
Email: carpitastefano@gmail.com
Name:Christie, Mario
Email: christie.mario@yahoo.comAddress: 275 7 West Greater Portmore POInstitution: University of the West Indies, Mona
Position: Student
Name:Comas-Cufí, Marc
Email: mcomas@imae.udg.eduAddress: Dept. IMAE, Edifici P4, Campus Montilivi, E-17071 Girona (Spain)Institution: Universitat de Girona
Name:Darabi-Golestan, Farshad
Email: pcdar2000@yahoo.comInstitution: Amirkabir University of technology
Position: Ph.D. candidate
Name:Daunis-i-Estadella, Pepus
Email: pepus@imae.udg.eduAddress: Dept. IMAE, Edifici P4, Campus Montilivi, Carrer Univ. de Girona, 6 E-17003 Girona (Spain)Institution: Universitat de Girona
Name:Deng, Tao
Email: 1083903583@qq.com
Name:dr, Nidhi Gupta
Email: NGU@nrcwe.dkAddress: Lerso Parkelle 105Institution: nrcwe
Position: researcher
Name:Edjabou, Vincent
Email: vine@env.dtu.dkInstitution: DTU
Position: Student
Name:Egozcue, Juan José
Email: juan.jose.egozcue@upc.eduAddress: Enginyeria Civil i Ambiental, EDIFICI C2, PLANTA 3, C. JORDI GIRONA, 1-3, 08034 BARCELONA (Spain)Institution: Universitat Politècnica de Catalunya
Position: Full Professor
Name:Enes, Vera
Email: vera.enes@ua.ptAddress: AveiroInstitution: University of Aveiro
Position: Phd student
Name:Esmaeiloghli, Saeid
Email: saeid@mail.frAddress: Office: Room 66, Department of Mining Engineering Isfahan University of Technology (IUT), University Boulevard, Esteghlal Square, Isfahan, Iran, 84156-83111 PhoneInstitution: Isfahan University of Technology (IUT) & Institut de Recherche en Astrophysique et Planétologie (IRAP) & Centre National de la Recherche Scientifique (CNRS)
Position: PhD Candidate
Name:Evans, Jedy
Email: jedyevans@gmail.comAddress: NAInstitution: African Institute for Mathematical Sciences
Position: Student
Name:fahiminia, mohammad
Email: m.fahiminia@ut.ac.ir
Name:Fisch, Greg
Email: Gfisch9862@aol.com
Name:Flood, Rory
Email: rflood02@qub.ac.uk
Name:Franquet, Álvaro
Email: alvarofranq@gmail.comInstitution: Universitat de Girona
Name:Fry, Tim
Email: tim.fry@rmit.edu.auAddress: School of Economics, Finance and Marketing, RMIT University, GPO Box 2476, Melbourne VIC 3001 AustraliaInstitution: RMIT University
Position: Full Professor
Name:Ganda, Erika
Email: ganda@psu.eduInstitution: Penn State
Position: Assistant Professor
Name:gomez, claudia
Email: claudiayamilegomez@gmail.comAddress: Av 17 E 9N 35 Conjunto Galicia In 25BInstitution: UFPS
Position: Docente
Name:Gomez-Herrera, Julio Ernesto
Email: juliog@ceinpet.cupet.cuAddress: Centro de Investigaciones del Petróleo Churruca, No.481, e/ Vía Blanca y Washington Cerro, La Habana, CP 12 000.Institution: CEINPET
Position: researcher
Name:Gong, Peng
Email: 360464454@qq.com
Name:herms, ignasi
Email: ignasi.herms@icgc.catAddress: Parc Montjuic, s/nInstitution: Institut Cartogràfic i Geològic de Catalunya
Position: Head of The Geological Resources Area
Name:Hill, June
Email: June.Hill@csiro.auAddress: Western AustraliaInstitution: CSIRO
Position: Research Scientist
Name:Hood, Shawn Hood
Email: Shawn.Hood@utas.edu.auAddress: 1 Ascot AveInstitution: University of Tasmania
Position: PhD Research
Name:Hou, Qingye
Email: qingyehou@gmail.comAddress: 29 Xueyuan Rd, Haidian district, Beijing, ChinaInstitution: China University of Geosciences (Beijing)
Position: associate professor
Name:Iribarren , Max
Email: Mip@vtr.net
Name:iribarren, max
Email: max.iribarren01@gmail.comPosition: geólogo
Name:Jama, Saed
Email: siciid522@hotmail.comAddress: TurkeyInstitution: Anadolu university
Position: Student
Name:James, John
Email: johnandlucyjames@mac.comAddress: 6464 South Downing Street Centennial, CO 80121 USAInstitution: Neisseria Research, LLC
Position: Microbiologist
Name:Jean-Michel, Jaquet
Email: jean-michel.jaquet@unige.chAddress: 13 Maraîchers, CH-1205 GenevaInstitution: University of Geneva
Position: Research scientist
Name:kenett, ron
Email: ron@kpa-group.comInstitution: KPA and UNITO
Position: Research Professor
Name:Khatri, Shubham
Email: shubhamkhatri216@gmail.comInstitution: G.B. Pant University of Agriculture and Technology
Position: M.Tech. Scholar
Name:KÜÇÜKDEMİRCİ, Melda
Email: meldakd@istanbul.edu.trInstitution: Istanbul University-C
Position: Assistant Professor
Name:Kuzik, Nicholas
Email: nkuzik@ualberta.caInstitution: University of Alberta
Position: Graduate Student
Name:Li, Tongfei
Email: tongfei1992@hotmail.com
Name:Lo, Ernest
Email: ernest.lo@inspq.qc.caInstitution: McGill University, Institut National de Santé Publique du Québec (INSPQ)
Name:Manhães, Marco
Email: marcomanhaes@bol.com.br
Name:MARCILLO, JUAN
Email: caperuzo23@gmail.comAddress: BarcelonaInstitution: UPC
Position: student
Name:Martín-Fernández, Josep-Antoni
Email: josepantoni.martin@udg.esAddress: Dept. IMAE, Edifici P4, Campus Montilivi, E-17071 Girona (Spain)Institution: University of Girona
Position: Titular Professor
Name:Mateu-Figueras, Gl
Email: gloria.mateu@udg.eduInstitution: Universitat de Girona
Name:mendes, auriio
Email: auriomendes00@gmail.comAddress: Av. Eduardo MondlaneInstitution: UEM
Position: Student
Name:MENDES, AURIO
Email: auriomende00s@gmail.comInstitution: UEM
Name:Mireles, Miguel
Email: migueladrianmireles@gmail.comAddress: Av. Carl Friedrich Gauss 3Institution: ICFO
Position: Student
Name:Modabberi, Soroush Modabberi
Email: modabberi@ut.ac.irAddress: School of Geology, University of Tehran, Enghelab AvenuePosition: University of Tehran
Name:Monti, Gianna
Email: gianna.monti@unimib.itAddress: Dep. of Economics, Management and Statistics (DEMS), Via Bicocca degli, Arcimboldi 8, 20126 Milano, ItalyInstitution: University of Milano-Bicocca
Position: Assistant Professor
Name:Moradell, Ana
Email: amoradell@unizar.esAddress: amoradell@unizar.esInstitution: Unizar
Position: student
Name:Ngozi-Chika, Chiazor
Email: chiazor87@gmail.comInstitution: Salem University, Nigeria
Position: Lecturer
Name:Núñez, Héctor
Email: hector.mantilla@geopinar.gms.minem.cuAddress: Ave 57 # 14003 apto 5 e/ 140 y 142 Marianao, La Habana, CubaInstitution: GeomineraPinar
Position: Geólogo
Name:OLIVEIRA, WILSON
Email: WILSON.OLIVEIRA@CPRM.GOV.BRInstitution: CPRM
Position: GEOCIENSCE RESERCH
Name:Oliver, Lia
Email: lia.oliver@goodgut.euAddress: Pic de Peguera 15Institution: GoodGut
Name:Ordonez-Calderon, Juan Carlos
Email: ordonez.jc@gmail.comAddress: 25 York Street, 17th Floor, Toronto, ON, M5J 2V5Institution: Kinross Gold
Position: Manager, Resource Geochemistry
Name:Ortego-Martínez, Maribel
Email: ma.isabel.ortego@upc.eduAddress: Dep. Enginyeria Civil i Ambiental, EDIFICI C2, PLANTA 3, C. JORDI GIRONA, 1-3, 08034 BARCELONA (SPAIN)Institution: Universitat Politècnica de Catalunya
Name:Oviedo-Caro, Miguel Angel
Email: maovicar@upo.esAddress: Carretera de Utrera, Km1 ES-41013 Seville, SpainInstitution: University Pablo de Olavide
Position: Professor and Researcher
Name:pacheco, carlos
Email: pachecoher3@gmail.comAddress: calle 20 31-79, Barrio san alonsoInstitution: Universidad de Santander
Position: Estudiante
Name:Palarea Albaladejo, Javier
Email: javier@bioss.ac.ukInstitution: Biomathematics and Statistics Scotland
Name:panda, santanu
Email: santanu20@gmail.comAddress: IndiaInstitution: GSI
Position: Geologist
Name:patron, niccolo
Email: niccolo.patron@protonmail.comInstitution: Private
Position: Scientist
Name:Pawlowsky-Glahn, Vera
Email: vera.pawlowsky@udg.eduAddress: Dept. IMAE, Edifici P4, Campus Montilivi, E-17071 Girona (Spain)Institution: University of Girona
Position: Full Professor
Name:Plà Castellana, Mireia
Email: mpla@s-can.esAddress: Ciutat de Granada, 28 1r. 08005 BarcelonaInstitution: Universitat de Girona
Position: phd student
Name:Plata Rincón, Catalina
Email: catalinaplatar@gmail.comInstitution: Universidad Santo Tomás
Name:Poudel, Ravin
Email: rp3448@ufl.eduAddress: Gainesville, FLInstitution: USDA-ARS/University of Florida
Position: Researcher
Name:Punya-in, Sutthida
Email: punyain.s@gmail.comInstitution: Rajamangala University of Technology Lanna
Position: Lecturer
Name:Quispe, Alejandro
Email: alejandro362@hotmail.comInstitution: UPC
Position: Estudiante
Name:Ramos, Kevin
Email: kramossolorzano@gmail.comAddress: Jr. Connococha 232 Los OlivosInstitution: Universidad Nacional de Ingeniería
Position: Geologist
Name:Reagan, Steve
Email: STEVEN.REAGAN@LLPRODUCTS.COMAddress: 160 McLean Dr, Romeo, MI, 48065Institution: L & L Products, Inc.
Position: Computational Modeling Manager
Name:Rivers, Adam
Email: adam.rivers@ars.usda.govAddress: 1600 SW 23rd DRInstitution: United States Department of Agriculture
Position: Computational Biologist
Name:Rodriguez Romero, Viviana Alejandra
Email: rodriguezva@vcu.eduInstitution: Virginia Commonwealth University
Position: Student
Name:sabil, ahmed adam
Email: sabil86@hotmail.comInstitution: mining
Name:Sajdak, Marcin
Email: msajdak@ichpw.zabrze.plInstitution: Institute for Chemical Processing of Coal (ICPC )
Position: Eng.&Tech. specialist
Name:Salata, Dorota
Email: dorota.salata@uj.edu.plInstitution: Jagiellonian University
Name:Salles, Rodrigo
Email: sallesgeologia@gmail.comInstitution: AngloGold Ashanti
Position: Geologist
Name:segovia, nazario
Email: nazariosegovia@gmail.comInstitution: newmont peru
Position: geologist
Name:Sophia, VAUCLIN
Email: sophia.vauclin@entpe.frInstitution: ENTPE (University of Lyon)
Position: PhD student
Name:Sposito, Gianluca
Email: gianluca.sposito27@gmail.comAddress: Department of Industrial Engineering, Piazzale Vincenzo Tecchio, 80, 80125 Napoli, ItalyInstitution: University of Naples Federico II
Position: PhD student
Name:SUAREZ, CARLOS
Email: carlos.suarez1973@yahoo.esAddress: EL CONDEInstitution: PARTICULAR
Position: INVESTIGADOR
Name:THIOMBANE, MATAR
Email: thiombane.matar@unina.itAddress: Via mezzocanone, 16 4th floor NaplesInstitution: University Federico II Naples-Italy
Position: PhD Student
Name:Thomas, Chris
Email: cwtgeo@gmail.comAddress: The Lyell Centre, Research Avenue South, Edinburgh EH14 4APInstitution: British Geological Survey
Position: Honorary Research Associate
Name:Thompson, John
Email: jmtdoc@btinternet.comAddress: Institute of Research & Development, Birmingham Research Park, Birmingham B15 2SQ, UKInstitution: Tracer Measurement System Ltd.
Position: Director
Name:Trauth, Martin
Email: trauth@uni-potsdam.deAddress: Karl-Liebknecht-Strasse 24, 14476 PotsdamInstitution: University of Potsdam
Position: Geologist; professor
Name:TRINH, Thi Huong
Email: trinhthihuong@tmu.edu.vnAddress: 21 Allée de BrienneInstitution: Toulouse School of Economics
Position: PhD
Name:Tsagris, Michael
Email: pmxmt1@nottingham.ac.ukInstitution: Unisersity of Nottingham
Position: PhD student
Name:Verswijveren, Simone Verswijveren
Email: sjverswi@deakin.edu.auInstitution: Deakin University
Position: PhD Student
Name:Vezzoli, Giovanni
Email: giovanni.vezzoli@unimib.itAddress: Dipartimento di Scienze dell Ambiente e del Territorio e di Scienze della Terra, Piazza della Scienza, 4 20126 Milano (Italy)Institution: University of Milano-Bicocca
Position: Geologist Researcher
Name:Xiaohong, Guo
Email: xiaohong9g@gmail.comInstitution: China University of Geosciences(Beijing)
Position: PhD candidate
Name:Zheng, Chaojie
Email: zcj19931118@163.com
Name:Zhu, Guoping
Email: gpzhu@shou.edu.cnInstitution: Shanghai Ocean University
Position: Researcher
Name:Zuluaga, Maria Clara
Email: mzuluag3@eafit.edu.coInstitution: Universidad EAFIT
Position: Researcher