A Geometric Method for Determining Shape of Bird Eggs

Baker, Douglas E.

doi:10.1642/0004-8038(2002)119[1179:agmfds]2.0.co;2

Cited by 20 publications

(33 citation statements)

References 2 publications

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“…Although there is a number of other shape or contour analyses methods based on diff erent mathematical techniques (Baker, 2002;Bartoň and Křivánek, 2001;Chen and Nelson, 2004;Todd, 1985), the above mentioned method represents relatively simple but powerful interpretation tool which suits perfectly for eva luating of biological shapes.…”

Section: Ii: Eigenvalues and Contributions Of Principal Componentsmentioning

confidence: 99%

On the evaluation of chicken egg shape variability

Havlíček¹,

Nedomová²,

Simeonovová³

et al. 2014

Acta Univ. Agric. Silvic. Mendelianae Brun.

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HAVLÍČEK, M., NEDOMOVÁ, Š., SIMEONOVOVÁ, J., SEVERA, L., KŘIVÁNEK, I.: On the evaluation of chicken egg shape variability. Acta univ. agric. et silvic. Mendel. Brun., 2008, LVI, No. 5, pp. 69-74 Although recently reported models for determining egg shape are highly accurate, certain com pli cated measurements or computations are to be performed. Thus relatively simple and attainable analysis methods of chicken egg shape variability were chosen and used for the purpose of presented research. Sample of 250 eggs of ISA BROWN strain was examined. Geometrical parameters were measured and calculated with following expression of their coeffi cient of variation -namely egg length 3.56 %, egg maximum width 2.84 %, shape index 3.80 %, surface area 5.08 %, and egg volume 7.23 %. The second method consisted in shape quantitative measuring by the score of the principal components of elliptic Fourier descriptors (EFDs). The fi rst four principles components which could explain over 99 % of the egg shape variations were found to be very good measures of the monitored phenomenon. It was found that 87.41 % of the total shape variation can be accounted to length to width ratio. Usefulness and relevance of the shape index usage was confi rmed. chicken egg, shape variability, elliptic Fourier analysis

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Section: Ii: Eigenvalues and Contributions Of Principal Componentsmentioning

confidence: 99%

On the evaluation of chicken egg shape variability

Havlíček¹,

Nedomová²,

Simeonovová³

et al. 2014

Acta Univ. Agric. Silvic. Mendelianae Brun.

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“…For example, the recent wide‐ranging comparative study by Stoddard et al. () uses two indices, based on Baker's () formulations. However, this method did not quantify the shape of pyriform eggs sufficiently accurately and so they were excluded from their analysis (see figure S2 in Stoddard et al., ).…”

Section: Introductionmentioning

confidence: 99%

“…Alternative methods of summarizing egg shape have been proposed by Carter (), Carter and Morley Jones (), Baker () and Troscianko (). When compared with Preston's () proposal, each of these is less effective in capturing egg shape for some eggs (see Sections 3.1 and 3.2 below).…”

Section: Introductionmentioning

confidence: 99%

Accurately quantifying the shape of birds’ eggs

Biggins

Thompson

Birkhead

2018

Ecology and Evolution

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Describing the range of avian egg shapes quantitatively has long been recognized as difficult. A variety of approaches has been adopted, some of which aim to capture the shape accurately and some to provide intelligible indices of shape. The objectives here are to show that a (four‐parameter) method proposed by Preston (1953, The Auk, 70, 160) is the best option for quantifying egg shape, to provide and document an R program for applying this method to suitable photographs of eggs, to illustrate that intelligible shape indices can be derived from the summary this method provides, to review shape indices that have been proposed, and to report on the errors introduced using photographs of eggs at rest rather than horizontal.

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“…Digital photography and its computer processing have simplified the process of obtaining of additional parameters. There are many papers already dealing with such techniques of egg description (Anderson, 1978;Baker, 2002;Barta, Székely, 1997;Bridge et al, 2007;Makatsch, 1974;Makatsch, 1976;Monus, Barta, 2005;Mytiai, 2003;2008;Todd, Smart, 1984). Nevertheless, the advantage of the mentioned techniques could not solve the problem related to denomination and classification of egg shapes and possibility of comparison of egg morpho-metric data published by various authors.…”

Section: Introductionmentioning

confidence: 99%

“…Generally, modern oology is characterized by availability of huge quantity of factual materials, it has a lot of most modern mathematical methods of describing, but till this time there is no single system, which includes adequate names of egg forms and which is followed by appropriate geometrical figure and algebraic equation. The fragments of similar systems and methodic of their creation are described enough in the literature (Baker, 2002 1968; Preston, 1969;Todd, Smart, 1984;Frantsevich, 2017). Nevertheless, works which include aspects mentioned above are missed in completed mode.…”

Section: Introductionmentioning

confidence: 99%

Geometrical standards in shapes of avian eggs

Mytiai

Matsyura

2017

Ukr J Ecol

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The original technique of description of avian eggs on the basis of the geometry of asymmetrical oval (ovoid) is suggested. Specific properties of this figure allow to create a system of 80 basic ovoid standards, each given an appropriate name, digital and letter coding, and distinct quantitative characteristics. Combining infundibular zones (blunt poles) of basic ovoids in pairs gives 80 standards of symmetric pseudo-ovoids, 44 of which are found in birds. The same procedure applied to different ovoids produces 375 standards of asymmetrical pseudo-ovoids. This totality can be divided into six groups. Use of such system of standards enables us to identify real shapes of avian eggs, to analyze relation of morphometric parameters to incubatory properties of eggs, and also to carry out comparisons and generalizations of other authors' data. Each standard is quantitatively characterized by means of indexes (namely, indices of infundibular, cloacal, and lateral zones; index of asymmetry, elongation index, complementarity index, interporal index, arc radiuses, length and diameter).

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A Geometric Method for Determining Shape of Bird Eggs

Cited by 20 publications

References 2 publications

On the evaluation of chicken egg shape variability

On the evaluation of chicken egg shape variability

Accurately quantifying the shape of birds’ eggs

Geometrical standards in shapes of avian eggs

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