Skip to main content
SpringerLink
Log in

Multiplicative models for cultivar by location interaction in testing sugar beets for resistance to beet necrotic yellow vein virus

  • Original Research Paper
  • Published:
Euphytica Aims and scope Submit manuscript

Summary

Sugar beet cultivars were evaluated for resistance to beet necrotic yellow vein virus (BNYVV) on various locations in two consecutive years. Resistance levels of cultivars were measured by virus assays of plants from the field and the greenhouse. Infection levels in the fields were characterised by sampling plants of a susceptible indicator cultivar. For each year, statistical analyses were performed on two-way tables of cultivar by location for yield and quality parameters. In analysis of variance (ANOVA) significant main effects and significant cultivar by location interaction were found for all parameters (P<0.05). Interactions were further investigated by multiplicative models. In the Additive Main effects and Multiplicative Interaction effects (AMMI) model, interaction was written as the product of a cultivar score and a location score. Cultivar interaction scores were highly correlated to virus concentrations of the cultivars, and location interaction scores to virus concentrations of the susceptible indicator cultivar. Main effects of cultivars and locations were less clearly related to virus concentrations than interaction effects. In general, virus concentrations of plants from a greenhouse test gave higher correlations than virus concentrations of plants from the field. In the factorial regression model, virus concentrations were incorporated in the model. The model can be understood as a two-way ANOVA, with greenhouse virus concentrations and virus concentration of the indicator cultivar as concomitant variables on the cultivar and location factor. Results of analyses with both multiplicative interaction models showed that interactions of all yield and quality parameters can be described in terms of virus concentrations. Therefore, the relative performance of susceptible and partially resistant cultivars in infested fields can be estimated by means of three independent parameters, (i) the level of resistance determined in a greenhouse experiment, (ii) the yield and quality in non-infested fields, and (iii) the level of infection in the field.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Abbreviations

AMMI model:

Additive Main effects and Multiplicative Interaction effects model

ANOVA:

analysis of variance

BNYVV:

beet necrotic yellow vein virus

ELISA:

enzyme-linked immunosorbent assay

α-amino N:

α-amino nitrogen

K:

Kalium (potassium)

Na:

Natrium (sodium)

References

  • Ahrens W., 1987. Auslese Rizomania-resistenter Zuckerrüben mit Hilfe des ELISA-Tests. Gesunde Pflanzen 39: 107–112.

    Google Scholar 

  • Alderlieste M.F.J. & F.A. Van Eeuwijk, 1992. Assessment of concentrations of beet necrotic yellow vein virus (BNYVV) by enzyme-linked immunosorbent assay. J. Virol. Meth. 37: 163–176.

    Google Scholar 

  • Bürcky K. & G. Büttner, 1989a. Rizomaniatolerante Zuckerrübensorten I. Streuung von Gewicht und Qualitätsmerkmalen für Einzelrüben verschiedener Sorten mit und ohne Befall durch BNYVV. Zuckerindustrie 114: 142–148.

    Google Scholar 

  • Bürcky K. & G. Büttner, 1989b. Rizomaniatolerante Zuckerrübensorten II. BNYVV-Gehalt junger Testpflanzen und Ertrag im Feld unter Rizomaniabefall. Zuckerindustrie 114: 225–228.

    Google Scholar 

  • Bürcky K. & G. Büttner, 1991. Gehalt an Beet Necrotic Yellow Vein Virus (BNYVV) in der Hauptwurzel von Zuckerrübenpflanzen verschiedener Sorten und deren Leistung unter Rizomaniabefall im Feld. J. Phytopath. 131: 1–10.

    Google Scholar 

  • Büttner G. & K. Bürcky, 1987. Verbesserung der Nachweisempfindlichkeit von ELISA beim Test auf BNYVV. Proc. 50th Winter Congress IIRB, Brussels: 289–294.

  • Casarini-Camangi P. & A. Canova, 1987. Infezione ed incidenza sulla produttività del virus della Rizomania in alcuni genotipi di barbabietola da zucchero. Phytopath. Medit. 26: 91–99.

    Google Scholar 

  • Casarini-Camangi P. & A. Canova, 1988. Aspetti epidemiologici ed infeziosità della rizomania. Phytopath. Medit. 27: 73–83.

    Google Scholar 

  • Clark M.F. & A.N. Adams, 1977. Characteristics of the microplate method of enzyme-linked immunosorbent assay for the detection of plant viruses. J. Gen. Virology 34: 475–483.

    Google Scholar 

  • De Nie, L.H. & P.W. Van de Poel, 1989. Uniforme methode voor gewichtsbepaling, monstername en monsteronderzoek van suikerbieten in Nederland. Uitgave van de Nederlandse Suikerindustrie, 26 pp.

  • Denis J.B., 1980. Analyse de régression factorielle. Biom. Praxim. 20: 1–34.

    Google Scholar 

  • Denis J.B., 1988. Two way analysis using covariates. Statistics 19: 123–132.

    Google Scholar 

  • Gabriel K.R., 1978. Least squares approximation of matrices by additive and multiplicative models. J.R. Stat. Soc. Ser. B 40: 186–196.

    Google Scholar 

  • Gauch H.G.Jr., 1988. Model selection and validation for yield trials with interaction. Biometrics 44: 705–715.

    Google Scholar 

  • Giunchedi L., M. De Biaggi & C. Poggi Pollini, 1987. Correlation between tolerance and beet necrotic yellow vein virus in sugar-beet genotypes. Phytopath. Medit. 26: 23–28.

    Google Scholar 

  • Gollob H.F., 1968. A statistical model which combines features of factor analytic and analysis of variance techniques. Psychometrika 33: 73–115.

    Google Scholar 

  • Heijbroek W., 1989. The development of rhizomania in two areas of the Netherlands and its effect on sugar-beet growth and quality. Neth. J. Plant Path. 95: 27–35.

    Google Scholar 

  • Hillmann, U., 1984. Neue Erkenntnisse über die Rizomania an Zuckerrüben mit besonderer Berücksichtigung Bayerischer Anbaugebiete. Dissertation Justig Liebig Universität Giessen, 226 pp.

  • Paul H., B. Henken & M.F.J. Alderlieste, 1992. A greenhouse test for screening sugar-beet (Beta vulgaris) for resistance to beet necrotic yellow vein virus (BNYVV). Neth. J. Plant Path. 98: 65–75.

    Google Scholar 

  • Perkins J.M., 1972. The principal components analysis of genotype-environmental interactions and physical measures of the environment. Heredity 29: 51–70.

    Google Scholar 

  • Pollach G., 1984. Versuche zur Verbesserung einer Rizomania-Diagnose auf Basis konventioneller Rübenanalysen. Zuckerindustrie 109: 849–853.

    Google Scholar 

  • Richard-Molard, M., 1987. Variétés tolérantes à la rhizomanie—Résultats d'essais, problèmes posés par leur utilisation. Proc. 50th Winter Congress IIRB, Brussels: 111–129.

  • Rosso F., M. Bimbatti & P. Meriggi, 1988. Effetti della Rizomania sulla evoluzione dei parametri tecnici della produzione. Sementi Elette 34 (1/2): 41–49.

    Google Scholar 

  • Rosso F., P. Meriggi, G. Vaccari & G. Mantovani, 1989. Ulteriori studi su varietà di barbabietole sensibili e tolleranti alla rizomania. Sementi Elette 35 (6): 3–14.

    Google Scholar 

  • Shimada I., A. Shirahata, K. Fujii, N. Tomiyama & H. Sugawara, 1989. Study on selection of rhizomania tolerant sugar beet varieties. Proc. Japan. Soc. Sugar Beet Technol. 31: 93–97.

    Google Scholar 

  • Snedecor G.W. & W.G. Cochran, 1980. Statistical methods. Iowa State University Press, Ames, 7th Edition, 507 pp. (Chapter 16).

    Google Scholar 

  • Takeda S., H. Dempo, M. Yasumura & M. Hayashida, 1988. Method to estimated the injuries by rhizomania disease on sugar beet by using the data of sugar content and harmful nonsugar components of sugar beet. Proc. Japan. Soc. Sugar Beet Technol. 30: 89–93.

    Google Scholar 

  • Tuitert G., 1990. Assessment of the inoculum potential of Polymyxa betae and beet necrotic yellow vein virus (BNYVV) in soil using the most probable number method. Neth. J. Plant Path. 96: 331–341.

    Google Scholar 

  • Zobel R.W., M.J. Wright & H.G. Gauch, 1988. Statistical analysis of a yield trial. Agron. J. 80: 388–393.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. DLO-Centre for Plant Breeding and Reproduction Research (CPRO-DLO), P.O. Box 16, 6700 AA, Wageningen, The Netherlands

    H. Paul & F. A. van Eeuwijk

  2. Sugar Beet Research Institute (IRS), P.O. Box 32, 4600 AA, Bergen op Zoom, The Netherlands

    W. Heijbroek

Authors
  1. H. Paul
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. A. van Eeuwijk
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. W. Heijbroek
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Paul, H., van Eeuwijk, F.A. & Heijbroek, W. Multiplicative models for cultivar by location interaction in testing sugar beets for resistance to beet necrotic yellow vein virus. Euphytica 71, 63–74 (1993). https://doi.org/10.1007/BF00023468

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00023468

Key words

Search

Navigation