Nonlinear models for describing development and fecundity of the pseudococcid predators Nephus includens and Nephus bisignatus

PDF
Published: Jan 8, 2012
DOI: https://doi.org/10.12681/eh.11514
Keywords:
degree- days development threshold model temperature
Dimitrios Ch. Kontodimas
Benaki Phytopathological Institute, Department of Entomology and Agricultural Zoology, 8 Stefanou Delta, 145 61, Kifissia, Greece
Abstract

Among several mathematical models used to describe the development or the fecundity of insects the equations of Enkegaard, Analytis, Bieri 1 and Bieri 2 could describe both biological features. In the current study these equations used to describe the development and fecundity of two pseudococcid predators [Nephus includens (Kirsch) and Nephus bisignatus (Boheman) (Coleoptera: Coccinellidae)] preying on Planococcus citri (Risso) (Hemiptera: Pseudococcidae) at constant temperatures (15oC - 35oC). All models have goodness of fit to data especially for development [R2 adj, RSS and AIC ranged 0.9908-0.9996, 0.0019-89.1752 (x10-4), and (-75.43) – (-31.07) respectively]. Optimum temperature (Topt) and upper threshold (Tmax) were calculated accurately by all models (Topt ranged 32.6-34.0oC for N. includens and 30.0-30.6oC for N. bisignatus and Tmax ranged 35.0-38.8oC for N. includens and 33.1-36.0oC for N. bisignatus, respectively). Lower temperature threshold (Tmin) was calculated accurately by Bieri-1 model (11.0 and 10.0oC for N. includens and N. bisignatus respectively) whereas Analytis model underestimated it (8.0 and 4.9oC). As far as fecundity is concerned the respective values were better fitted near the optimum temperature (25oC) [R2 adj, RSS and AIC ranged 0.8246-0.9704, 9.2729-24.0736 and (-246.82) – (-115.34) respectively]. Conclusively, from the tested models the Bieri-1 equation was proved as the most appropriate for the reason that could estimate correctly all the requested parameters concerning the development (Tmin, Topt, Tmax) as well as it could describe sufficiently the fecundity trend of the two predators.

Article Details
  • Section
  • Articles
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Authors who publish with this journal agree to the following terms:

Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons 4.0 license.

Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g. post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal. Authors are permitted and encouraged to post their work online (preferably in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.

Downloads
Download data is not yet available.
References
Akaike, H. 1974. A new look at the statistical model identification. IEEE Trans. Autom. Control AC. 19: 716–723.
Analytis, S, 1980. Obtaining of sub-models for modeling the entire life cycle of a pathogen. Z. Pflanzenker. Pflanzenschutz. 87: 371–382.
Arbab, A., D.C. Kontodimas and A. Sahragard. 2006. Estimating development of Aphis pomi De Geer (Homoptera: Aphididae) using linear and nonlinear models. Environ. Entomol. 35: 1208-15.
Arbab, A., Kontodimas D.C. and M.R. McNeill. 2008. Modeling Embryo Development of Sitona discoideus Gyllenhal (Coleoptera: Curculionidae) under Constant Temperature. Environ. Entomol. 37: 1381-88.
Argyriou, L.C., H.G. Stavraki and P.A. Mourikis. 1976. A list of recorded entomophagous insects of Greece. Benaki Phytopathological Institute, Kifissia, Greece. 73 p.
Bieri, M., J. Baumgärtner, G. Bianchi, V. Delucchi and R. von Arx. 1983. Development and fecundity of pea aphid (Acyrtosiphon pisum Harris) as affected by constant temperatures and pea varietes. Mitt. Schweiz. Entomol. Ges. 56: 163-171.
Bodenheimer, F.S. 1951. Citrus Entomology in the Middle East. Uitgeverij Dr. W. Junk Publishers, Graveenhage, The Hague, 663p.
Enkegaard, A. 1993. The poinsettia strain of the cotton whitefly, Bemisia tabaci (Hom.; Aleyrodidae), biological and demographic parameters on poinsettia (Euphorbia pulcherrima) in relation to temperature. Bull. Entomol. Res. 83: 535-546.
Francardi, V. and M. Covassi. 1992. Note bio-ecologishe sul Planococcus vovae (Nasonov) dannoso a Juniperus spp. In Toscana (Homoptera: Pseudococcidae). Redia 75: 1-20.
Fürsch, H. 1958. Die mitteleuropaischen Scymnini und deren Verbreitung mit besonderer Berucksichtigung Bayerns (Col. Cocc.). Nachr.bl. Bayer. Entomol. 7: 75-79; 83-91; 100-102.
Kontodimas, D.C. 1997. First record of the predatory insect Nephus bisignatus (Boheman) (Coleoptera: Coccinellidae) in Greece. Ann. Inst. Phytopathol. 18: 61-63.
Kontodimas, D.C., P.A. Eliopoulos, G.J. Stathas and L.P. Economou. 2004. Comparative temperature-dependent development of Nephus includens (Kirsch) and Nephus bisignatus (Boheman) (Coleoptera: Coccinellidae) preying on Planococcus citri (Risso) (Homoptera: Pseudo-coccidae): Evaluation of a linear and various non-linear models using specific criteria. Environ. Entomol. 33: 1–11.
Kontodimas, D.C., P.G. Milonas, G.J. Stathas, L.P. Economou and N.G. Kavallieratos. 2007. Life table parameters of the pseudococcid predators Nephus includens and Nephus bisignatus (Coleoptera: Coccinellidae). Eur. J. Entomol. 104: 407-415.
Lactin, D.J., N.J. Holliday, D.L. Johnson and R. Craigen. 1995. Improved rate model of temperature–dependent development by arthropods. Environ. Entomol. 24: 68 – 75
Lanzoni, A., Accinelli, G., Bazzocchi, G.G. and Burgio, G., 2003. Biological traits and life tables of the exotic Harmonia axyridis compared with Hippodamia variegata, and Adalia bipunctata (Col.: Coccinellidae). J. Appl. Entomol. 128: 298-306.
Longo, S. and Benfatto. 1987. Coleotteri entomofagi presenti sugli agrumi in Italia. Inf. Fitopatol. 37: 21-30.
Magro, A., J. Araujo and J.L. Hemptinne. 1999. Coccinellids (Coleoptera: Coccinellidae) in citrus groves in Portugal: listing and analysis of geographical distribution. Bol. San. Veg. Plagas 25: 335-345.
Marquardt, D.V. 1963. An algorithm for least squares estimation of nonlinear parameters. J. Soc. Ind. Appl. Math. 11: 431-441.
Pope, R.D. 1973. The species of Scymnus (s.str.), Scymnus (Pullus) and Nephus (Col., Coccinellidae) occurring in the British Isles. Entomol. Mon. Mag. 109 (1304/6): 3-39.
Ranjbar Aghdam, H., Y. Fathipour and D.C. Kontodimas. 2011. Evaluation of nonlinear models to describe development and fertility of codling moth at constant temperatures. Entom. Hellenica 20: 3-16.
Roy, M., J. Brodeur and C. Cloutier. 2002. Relationship between temperature and developmental rate of Stethorus punctillum (Col.: Coccinellidae) and its prey Tetrany-chus mcdanieli (Acarina: Tetranychidae). Environ. Entomol. 31: 177–187.
SAS, Institute. 1989. JMP, a guide to statistical and data analysis, version 4.02. SAS Institute, Cary, NC.
Suzer, T., M. Aytas and R. Yumruktepe. 1992. Chemical experiment on citrus white fly (Dialeurodes citri), citrus red mite (Panonychus citri) and citrus rust mite (Phyllocoptruta oleivora Ashmead) in the Mediterranean region. Zirai Mucadele Arastirma Yilligi 22-23: 61-63.
Viggiani, G. 1974. Recherches sur les cochenilles des agrumes. IOBC/WPRS Bull. 3: 117-120.
Ydergaard, S., A. Enkergaard and H.F. Brǿdsgaard. 1997. The predatory mite Hypoaspis miles: temperature dependent life table characteristics on a diet of sciarid larvae, Bradysia paupera and B. tritici. Entomol. Exp. Appl. 85: 177 –187.
Zahiri, B., Y. Fathipour, M. Khanjani, S. Moharramipour and M.P. Zalucki. 2010. Preimaginal development response to constant temperatures in Hypera postica (Col.: Curculionidae): Picking the best model. Environ. Entomol. 39: 177-189.