{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,23]],"date-time":"2025-12-23T05:28:48Z","timestamp":1766467728482,"version":"build-2065373602"},"reference-count":49,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2020,4,24]],"date-time":"2020-04-24T00:00:00Z","timestamp":1587686400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001663","name":"Volkswagen Foundation","doi-asserted-by":"publisher","award":["VW-89362"],"award-info":[{"award-number":["VW-89362"]}],"id":[{"id":"10.13039\/501100001663","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Algorithms"],"abstract":"<jats:p>The process of moving from experimental data to modeling and characterizing the dynamics and interactions in natural processes is a challenging task. This paper proposes an interactive platform for fitting data derived from experiments to mathematical expressions and carrying out spatial visualization. The platform is designed using a component-based software architectural approach, implemented in R and the Java programming languages. It uses experimental data as input for model fitting, then applies the obtained model at the landscape level via a spatial temperature grid data to yield regional and continental maps. Different modules and functionalities of the tool are presented with a case study, in which the tool is used to establish a temperature-dependent virulence model and map the potential zone of efficacy of a fungal-based biopesticide. The decision support system (DSS) was developed in generic form, and it can be used by anyone interested in fitting mathematical equations to experimental data collected following the described protocol and, depending on the type of investigation, it offers the possibility of projecting the model at the landscape level.<\/jats:p>","DOI":"10.3390\/a13040104","type":"journal-article","created":{"date-parts":[[2020,4,24]],"date-time":"2020-04-24T11:42:14Z","timestamp":1587728534000},"page":"104","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Decision Support System for Fitting and Mapping Nonlinear Functions with Application to Insect Pest Management in the Biological Control Context"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7061-4102","authenticated-orcid":false,"given":"Ritter A.","family":"Guimapi","sequence":"first","affiliation":[{"name":"International Centre of Insect Physiology and Ecology (ICIPE), Nairobi P.O. Box 30772-00100, Kenya"},{"name":"Department of Computing, School of Computing &amp; Information Technology, Jomo Kenyatta University of Agriculture and Technology (JKUAT), Nairobi P.O. Box 62000-00200, Kenya"}]},{"given":"Samira A.","family":"Mohamed","sequence":"additional","affiliation":[{"name":"International Centre of Insect Physiology and Ecology (ICIPE), Nairobi P.O. Box 30772-00100, Kenya"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8106-5372","authenticated-orcid":false,"given":"Lisa","family":"Biber-Freudenberger","sequence":"additional","affiliation":[{"name":"Center for Development Research (ZEF), Department of Ecology and Natural Resources Management, University of Bonn, Walter-Flex-Str. 3, 53113 Bonn, Germany"}]},{"given":"Waweru","family":"Mwangi","sequence":"additional","affiliation":[{"name":"Department of Computing, School of Computing &amp; Information Technology, Jomo Kenyatta University of Agriculture and Technology (JKUAT), Nairobi P.O. Box 62000-00200, Kenya"}]},{"given":"Sunday","family":"Ekesi","sequence":"additional","affiliation":[{"name":"International Centre of Insect Physiology and Ecology (ICIPE), Nairobi P.O. Box 30772-00100, Kenya"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8067-0335","authenticated-orcid":false,"given":"Christian","family":"Borgemeister","sequence":"additional","affiliation":[{"name":"Center for Development Research (ZEF), Department of Ecology and Natural Resources Management, University of Bonn, Walter-Flex-Str. 3, 53113 Bonn, Germany"}]},{"given":"Henri E. Z.","family":"Tonnang","sequence":"additional","affiliation":[{"name":"International Centre of Insect Physiology and Ecology (ICIPE), Nairobi P.O. Box 30772-00100, Kenya"}]}],"member":"1968","published-online":{"date-parts":[[2020,4,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"240","DOI":"10.1016\/j.agsy.2016.05.014","article-title":"Brief history of agricultural systems modeling","volume":"155","author":"Jones","year":"2017","journal-title":"Agric. Syst."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1016\/j.ijinfomgt.2019.04.003","article-title":"Prescriptive analytics: Literature review and research challenges","volume":"50","author":"Lepenioti","year":"2020","journal-title":"Int. J. Inf. Manag."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"786","DOI":"10.2134\/agronj2012.0506","article-title":"Nonlinear Regression Models and Applications in Agricultural Research","volume":"107","author":"Archontoulis","year":"2015","journal-title":"Agron. J."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1068\/b38155","article-title":"Simple and Complex Models","volume":"39","author":"Klosterman","year":"2012","journal-title":"Environ. Plan. B Plan. Des."},{"key":"ref_5","first-page":"17","article-title":"Hung, Comparison of Spatial Interpolation Techniques Using Visualization and Quantitative Assessment","volume":"11","author":"Eva","year":"2016","journal-title":"Appl. Spat. Stat."},{"key":"ref_6","first-page":"1","article-title":"Agro-ecological Zoning System-A Remote Sensing and GIS Perspective Upscaling of photosynthesis through Sun-induced fluorescence (SIF) View project 1. Regional Carbon Cycle Modeling for India and surrounding oceans View project","volume":"2","author":"Patel","year":"2000","journal-title":"J. Agrometeorol."},{"key":"ref_7","unstructured":"Gimond, M. (2019, October 09). Intro to GIS and Spatial Analysis. Available online: https:\/\/mgimond.github.io\/Spatial\/index.html."},{"key":"ref_8","unstructured":"FAO (2020, April 03). Agro-Ecological Zoning: Guidelines, Rome. Available online: https:\/\/books.google.com\/books?hl=fr&lr=&id=IWFD2zGLyrYC&oi=fnd&pg=PA1&dq=AGRO-ECOLOGICAL+ZONING+Guidelines&ots=bAH-Or-Nn0&sig=XdhPDm3WBbN8ckFjP2d5Zj5qaIc."},{"key":"ref_9","first-page":"516","article-title":"Multiple criteria decision-making techniques and their applications\u2014A review of the literature from 2000 to 2014","volume":"28","author":"Mardani","year":"2015","journal-title":"Econ. Res. Istra\u017e."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Belton, V., and Stewart, T.J. (2002). Multiple Criteria Decision Analysis: An Integrated Approach, Springer.","DOI":"10.1007\/978-1-4615-1495-4"},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Stoj\u010di\u0107, M., Zavadskas, E., Pamu\u010dar, D., Stevi\u0107, \u017d., and Mardani, A. (2019). Application of MCDM Methods in Sustainability Engineering: A Literature Review 2008\u20132018. Symmetry (Basel), 11.","DOI":"10.3390\/sym11030350"},{"key":"ref_12","unstructured":"Sprague, R.H., and Carlson, E. (1982). Building Effective Decision Support Systems, Prentice Hall College Div."},{"key":"ref_13","unstructured":"Dan, P. (2017, April 05). Ask Dan about DSS\u2014What Are the Components of A Decision Support System?. Available online: http:\/\/dssresources.com\/faq\/index.php?action=artikel&id=101."},{"key":"ref_14","unstructured":"Karacapilidis, N. (2006). An Overview of Future Challenges of Decision Support Technologies, Springer."},{"key":"ref_15","unstructured":"Huber, G.P. (2020, January 17). Organizational science contributions to the design of decision support systems. Available online: http:\/\/pure.iiasa.ac.at\/id\/eprint\/1221\/1\/XB-80-512.pdf#page=55."},{"key":"ref_16","unstructured":"Fick, G., and Sprague, R.H. (2017, April 05). Available online: http:\/\/www.sciencedirect.com\/science\/book\/9780080273211."},{"key":"ref_17","first-page":"84","article-title":"Model-Based Decision Support Methodology with Environmental Applications","volume":"32","author":"Wierzbicki","year":"2000","journal-title":"Interfaces"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1080\/10580530801941124","article-title":"Understanding Data-Driven Decision Support Systems","volume":"25","author":"Power","year":"2008","journal-title":"Inf. Syst. Manag."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1965","DOI":"10.1002\/joc.1276","article-title":"Very high resolution interpolated climate surfaces for global land areas","volume":"25","author":"Hijmans","year":"2005","journal-title":"Int. J. Climatol."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"813","DOI":"10.1038\/nrm2030","article-title":"Linking data to models: Data regression","volume":"7","author":"Jaqaman","year":"2006","journal-title":"Nat. Rev. Mol. Cell Biol."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"431","DOI":"10.1137\/0111030","article-title":"An Algorithm for Least-Squares Estimation of Nonlinear Parameters","volume":"11","author":"Marquardt","year":"1963","journal-title":"J. Soc. Ind. Appl. Math."},{"key":"ref_22","unstructured":"Gavin, H. (2019, December 05). The Levenberg-Marquardt method for nonlinear least squares curve-fitting problems. Available online: http:\/\/people.duke.edu\/~hpgavin\/ce281\/lm.pdf."},{"key":"ref_23","first-page":"1","article-title":"A Brief Description of the Levenberg-Marquardt Algorithm Implemened by levmar","volume":"4","author":"Lourakis","year":"2005","journal-title":"Found. Res. Technol."},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Silva, V. (2009). Practical Eclipse Rich Client Platform Projects, Apress.","DOI":"10.1007\/978-1-4302-1828-9"},{"key":"ref_25","unstructured":"Gaujoux, R. (2017, October 09). doRNG: Generic Reproducible Parallel Backend for \u201cForeach\u201d Loops. Available online: https:\/\/cran.r-project.org\/web\/packages\/doRNG\/index.html."},{"key":"ref_26","unstructured":"Pebesma, E., Bivand, R., Rowlingson, B., Gomez-Rubio, V., Hijmans, R., Sumner, M., MacQueen, D., Lemon, J., and O\u2019Brien, J. (2017, October 09). sp: Classes and Methods for Spatial Data. Available online: https:\/\/cran.r-project.org\/web\/packages\/sp\/index.html."},{"key":"ref_27","unstructured":"Ripley, B., Venables, B., Bates, D.M., Hornik, K., Gebhardt, A., and Firth, D. (2017, October 09). MASS: Support Functions and Datasets for Venables and Ripley\u2019s MASS. Available online: https:\/\/cran.r-project.org\/web\/packages\/MASS\/index.html."},{"key":"ref_28","unstructured":"Elzhov, T.V., Mullen, K.M., Spiess, A.-N., and Bolker, B. (2017, October 09). Minpack.lm: R Interface to the Levenberg-Marquardt Nonlinear Least-Squares Algorithm Found in MINPACK, Plus Support for Bounds. Available online: https:\/\/cran.r-project.org\/web\/packages\/minpack.lm\/index.html."},{"key":"ref_29","unstructured":"Bivand, R., Lewin-Koh, N., Pebesma, E., Archer, E., Baddeley, A., Bearman, N., Bibiko, H.-J., Brey, S., Callahan, J., and Carrillo, G. (2017, October 09). Maptools: Tools for Reading and Handling Spatial Objects. Available online: https:\/\/cran.r-project.org\/web\/packages\/maptools\/index.html."},{"key":"ref_30","unstructured":"Becker, R.A., Wilks, A.R., Brownrigg, R., Minka, T.P., and Deckmyn, A. (2017, October 09). Maps: Draw Geographical Maps. Available online: https:\/\/cran.r-project.org\/web\/packages\/maps\/index.html."},{"key":"ref_31","unstructured":"Urbanek, S. (2017, April 14). Rserve\u2014A Fast Way to Provide R Functionality to Applications. Available online: https:\/\/www.r-project.org\/conferences\/DSC-2003\/Proceedings\/Urbanek.pdf."},{"key":"ref_32","unstructured":"Augustyniuk-Kram, A., and Kram, K.J. (2016, September 21). Entomopathogenic Fungi as an Important Natural Regulator of Insect Outbreaks in Forests (Review). Available online: https:\/\/www.intechopen.com\/books\/forest-ecosystems-more-than-just-trees\/entomopathogenic-fungi-as-an-important-natural-regulator-of-insect-outbreaks-in-forests-review-."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.jip.2015.07.009","article-title":"Insect pathogens as biological control agents: Back to the future","volume":"132","author":"Lacey","year":"2015","journal-title":"J. Invertebr. Pathol."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1016\/B978-0-12-179502-3.50014-5","article-title":"Entomogenous Fungi","volume":"2","author":"Roberts","year":"1981","journal-title":"Biol. Conidial Fungi"},{"key":"ref_35","unstructured":"Shahid, A.A., Rao, A.Q., Bakhsh, A., and Husnain, T. (2016, September 21). Entomopathogenic fungi as biological controllers: New insights into their virulence and pathogenicity. Available online: http:\/\/agris.fao.org\/agris-search\/search.do?recordID=RS2012000992."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"355","DOI":"10.1007\/s10340-016-0781-4","article-title":"Selection of fungal isolates for virulence against three aphid pest species of crucifers and okra","volume":"90","author":"Bayissa","year":"2004","journal-title":"J. Pest Sci."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"468","DOI":"10.1603\/EN09359","article-title":"Pathogenicity of Entomopathogenic Fungi Metarhizium anisopliae and Beauveria bassiana (Hypocreales: Clavicipitaceae) Isolates to the Adult Pea Leafminer (Diptera: Agromyzidae) and Prospects of an Autoinoculation Device for Infection in the Field","volume":"39","author":"Migiro","year":"2010","journal-title":"Environ. Entomol."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1080\/09670874.2012.669078","article-title":"Compatibility of Metarhizium anisopliae isolate ICIPE 69 with agrochemicals used in French bean production","volume":"58","author":"Niassy","year":"2012","journal-title":"Int. J. Pest Manag."},{"key":"ref_39","first-page":"284","article-title":"Spatial Distribution of Mustard Aphid Lipaphis erysimi (Kaltenbach) Vis-\u00e0-vis its Parasitoid, Diaeretiella rapae (M\u2019intosh)","volume":"11","author":"Akhtar","year":"2010","journal-title":"World Appl. Sci."},{"key":"ref_40","unstructured":"CABI (2017, June 20). Mustard Aphid (Lipaphis Erysimi) Plantwise Technical Factsheet, Plantwise Knowledge Bank. Available online: http:\/\/www.plantwise.org\/KnowledgeBank\/Datasheet.aspx?dsid=30913."},{"key":"ref_41","unstructured":"(2017, June 29). Awaneesh, Mustard Aphid agropedia. Available online: http:\/\/agropedia.iitk.ac.in\/node\/4578."},{"key":"ref_42","unstructured":"Scott, D. (2017, July 14). 6 Reasons for Component-based UI Development. Available online: https:\/\/www.tandemseven.com\/technology\/6-reasons-component-based-ui-development\/."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"587","DOI":"10.1002\/ps.1913","article-title":"A web-based decision support system to enhance IPM programs in Washington tree fruit","volume":"66","author":"Jones","year":"2010","journal-title":"Pest Manag. Sci."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"1347","DOI":"10.1007\/s13593-015-0319-9","article-title":"Modular structure of web-based decision support systems for integrated pest management: A review","volume":"35","author":"Damos","year":"2015","journal-title":"Agron. Sustain. Dev."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1111\/j.1461-9563.2007.00336.x","article-title":"Use of a geographic information system to explore spatial variation in pathogen virulence and the implications for biological control of locusts and grasshoppers","volume":"9","author":"Klass","year":"2007","journal-title":"Agric. For. Entomol."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1111\/j.1461-9563.2007.00335.x","article-title":"Development of a model for evaluating the effects of environmental temperature and thermal behaviour on biological control of locusts and grasshoppers using pathogens","volume":"9","author":"Klass","year":"2007","journal-title":"Agric. For. Entomol."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"697","DOI":"10.1007\/s12639-013-0408-0","article-title":"Effect of temperature and humidity on pathogenicity of native Beauveria bassiana isolate against Musca domestica L.","volume":"39","author":"Mishra","year":"2015","journal-title":"J. Parasit. Dis."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"484","DOI":"10.1111\/j.1439-0418.1992.tb01155.x","article-title":"Effect of temperature and relative humidity on the virulence of the entomopathogenic fungus, Verticillium lecanii, toward the oat-bird berry aphid, Rhopalosiphum padi (Hom., Aphididae)","volume":"114","author":"Hsiao","year":"1992","journal-title":"J. Appl. Entomol."},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1093\/jisesa\/iew107","article-title":"Influence of Temperature and Relative Humidity on the Insecticidal Efficacy of Metarhizium anisopliae against Larvae of Ephestia kuehniella (Lepidoptera: Pyralidae) on Wheat","volume":"17","author":"Athanassiou","year":"2017","journal-title":"J. Insect Sci."}],"container-title":["Algorithms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1999-4893\/13\/4\/104\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,13]],"date-time":"2025-10-13T13:45:24Z","timestamp":1760363124000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1999-4893\/13\/4\/104"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,4,24]]},"references-count":49,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2020,4]]}},"alternative-id":["a13040104"],"URL":"https:\/\/doi.org\/10.3390\/a13040104","relation":{},"ISSN":["1999-4893"],"issn-type":[{"type":"electronic","value":"1999-4893"}],"subject":[],"published":{"date-parts":[[2020,4,24]]}}}