Abstract
Apples from 1253 genotypes representing 82 open pollinated families planted at three sites were cut along the stem-calyx axis at the widest point to analyse fruit shape. An image analysis program was used to extract calliper measurements of the fruit outline and calculated Fourier descriptors for each fruit outline. Five independent shape traits were identified from a principal component analysis of the Fourier descriptors. The shape traits and the proportion of the total phenotypic variation they accounted for were: fruit aspect (76.8%), asymmetric-crown (7.8%), fruit conicity (6.0%), asymmetric-sides (4.3%), and fruit squareness (2.0%). Genetic and residual variance components were estimated with data from two sites using restricted maximum-likelihood techniques to select genetically-inherited apple shape traits. Combined sites heritability was estimated to be 0.79 for aspect, 0.38 for conicity and 0.35 for squareness. Multiple regression between calliper measurements and aspect, conicity, and squareness traits showed firstly that aspect was best predicted by fruit length/width ratio (R2 = 0.97), secondly conicity could be described by both the distance of the maximum width from the base of the fruit/fruit length ratio and the calyx basin width/fruit width ratio (R2 =0.44), and finally squareness was best described by ratio of the product of calyx basin width and distance of the maximum width from the calyx end of the fruit by the product of fruit length and fruit width(R2 = 0.19). A chart based on the aspect, conicity and squareness principal component values was drawn to allow visual assessment of shape.
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References
Anon., 1994. Working paper on draft test guidelines for apple (fruit varieties) (Malus Mill.). UPOV. Technical working party for fruit crops, 25th session, Napier/Rotorua, New Zealand, Sept 19–24. TWF/25/3.
Brault, A.M. & D. de Oliveira, 1995. Seed number and an asymmetry index of 'McIntosh' apples. HortSci 30(1): 44–46.
Brittain, W.H., 1933. Apple pollination studies in the Annapolis Valley. Nova Scotia Can Dept Agr Can Bul 162.
Brown, A.G., 1960. The inheritance of shape, size and season in progenies of the cultivated apple. Euphytica 9: 327–337.
Cripps, J.E.L., L.A. Richards & A.M. Mairata, 1993. 'Pink Lady' Apple. HortSci 28(10): 1057.
Furuta, N., S. Ninomiya, N. Takahashi, H. Ohmori & Y. Ukai, 1995. Quantitative evaluation of soybean (Glycine max L Merr) leaflet shape by principal component scores based on elliptic Fourier descriptor. Breeding Sci 45: 315–320.
Gilmour, A.R., B.R. Cullis, S.J. Welham & R. Thompson, 1998. ASREML. October 2, NSW Agriculture.
Hedrick, U.P., 1938. Cyclopediea of hardy fruits, 2nd ed. The MacMillan Company, New York.
Heinicke, A.J., 1917. Factors influencing the abscision of flowers and partially developed fruits of the apple (Pyrus malus L.).Cornell Univ Ag Exp Stn Bull 393.
Jackson, J.E., 1991. A User's Guide to Principal Components. John Wiley & Sons, New York.
Lane, W.D. & R.A. MacDonald, 1987. 'Shamrock' apple. HortSci 22(3): 515–516.
Latimer, L.P., 1931. Further observations on factors affecting fruit setting of theMcIntosh apple in New Hampshire. Proc Amer Soc Hort Sci 28: 87–92.
Latimer, L.P., 1937a. The effect of reducing the number of functioning stigmas on fruit-setting and characteristics of the McIntosh apple. Proc Amer Soc Hort Sci 34: 22–25.
Latimer, L.P., 1937b. Self-and cross-pollination in the McIntosh apple and some of it's hybrids. Proc Amer Soc Hort Sci 34: 19–21.
Morgan, J., A. Richards & E. Dowle, 1993. The Book of Apples. Ebury Press, London.
Noiton, D. & C.J.A. Shelbourne, 1992. Quantitative genetics in an apple breeding strategy. Euphytica 60: 213–219.
Paulus, I. & E. Schrevens, 1999. Apple shape characterization by Fourier expansion of digitized images. J Agric Engng Res 72: 113–118.
SAS Institute, ed, 1990. SAS/STAT User's Guide Version 6, 4th ed., Vol. 1–2. SAS Institute Inc., Cary, USA.
Scott, D., 1998. Hortcouture fashion food conference. Orchardist N.Z., Feb 37–50.
Smith, M.W.G., 1971. National Apple Register of the United Kingdom. Ministry of Agriculture, Fisheries and Food, London.
Spinks, G.T., 1936. Apple breeding investigations. I. Results obtained from certain families of seedlings. Ann Rep Long Ashton Res Stn 1935: 19–49.
Titchmarsh, E.C., 1967. Convergence and Summability, pp. 1–24. In: Introduction to the theory of Fourier integrals. Oxford University Press, Oxford.
Watkins, R. & R.A. Smith, 1982. Descriptor list for apple (Malus). International Board for Plant Genetic Resources. Commission of European Communities: Committee on disease resistance breeding and use of genebanks. C.E.C. Secretariat, Brussels.
Younker, J.C. & R. Ehrlich, 1977. Fourier biometrics: harmonic amplitudes as multivariate shape descriptors. Syst Zool 26: 336–342.
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Currie, A., Ganeshanandam, S., Noiton, D. et al. Quantitative evaluation of apple (Malus × domestica Borkh.) fruit shape by principal component analysis of Fourier descriptors. Euphytica 111, 221–227 (2000). https://doi.org/10.1023/A:1003862525814
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DOI: https://doi.org/10.1023/A:1003862525814