A History of the Study of Phyllotaxis

Adler, Irving; Barabé, Denis; Jean, Roger V.

doi:10.1006/anbo.1997.0422

Cited by 165 publications

(181 citation statements)

References 68 publications

Supporting

Mentioning

175

Contrasting

Unclassified

Order By: Relevance

“…Based on the observations of primordia initiation at the least crowded space, many phyllotaxis theories assume that existing organ primordia inhibit the initiation of subsequent primordia [10], and that this inhibition was formulated by an energy function [16]. As energy decreases, the chance of a new primordium emerging increases.…”

Section: Potential Function Incorporating Growth Of Primordiamentioning

confidence: 99%

See 1 more Smart Citation

Stochastic occurrence of trimery from pentamery in floral phyllotaxis of Anemone (Ranunculaceae)

Kitazawa

Fujimoto

2016

Acta Soc Bot Pol

View full text Add to dashboard Cite

Merosity, indicating the basic number of floral organs such as sepals and petals, has been constrained to specific and stable numbers during the evolution of angiosperms. The ancestral flower is considered to have a spiral arrangement of perianth organs, as in phyllotaxis, the arrangement of leaves. How has the ancestral spiral evolved into flowers with specific merosities? To address this question, we studied perianth organ arrangement in the Anemone genus of the basal eudicot family Ranunculaceae, because various merosities are found in this genus. In three species, A. flaccida, A. scabiosa, and A. nikoensis that are normally pentamerous, we found positional arrangement of the excessive sixth perianth organ indicating the possibility of a transition from pentamerous to trimerous arrangement. Arrangement was intraspecifically stochastic, but constrained to three of five types, where trimerous arrangement was the most frequent in all species except for a form of A. scabiosa. The rank of frequency of the other two types was species-dependent. We connect these observations with classical theories of spiral phyllotaxis. The phyllotaxis model for initiation of the sixth organ showed that the three arrangements occur at a divergence angle <144°, indicating the spiral nature of floral phyllotaxis rather than a perfect penta-radial symmetry of 144°. The model further showed that selective occurrence of trimerous arrangement is mainly regulated by the organ growth rate. Differential organ growth as well as divergence angle may regulate transitions between pentamerous and trimerous flowers in intraspecific variation as well as in species evolution.

show abstract

Section: Potential Function Incorporating Growth Of Primordiamentioning

confidence: 99%

“…As in phyllotaxis [10], a new primordium arises within a vacancy between two earlier primordia during Anemone floral development [6], thus, there are five possible positions of the sixth tepal (Fig. 1d).…”

Section: Introductionmentioning

confidence: 99%

Stochastic occurrence of trimery from pentamery in floral phyllotaxis of Anemone (Ranunculaceae)

Kitazawa

Fujimoto

2016

Acta Soc Bot Pol

View full text Add to dashboard Cite

show abstract

“…For example, the spiral arrangement of petals in a flower, the bracts in a pine cone, the seeds on strawberries and the leaves of artichokes. The basic spiral pattern in these examples is the same and, not surprisingly, also the same as the arrangement of microscopic primordia in the tips of shoots of plants; both can be described using Fibonacci numbers (Adler et al 1997). The configuration of each spiral is consecutive Fibonacci numbers, with the first two numbers, F 1 Z1, F 2 Z1 and subsequent numbers generated by the recurrence relation, F n ZF nK1 CF nK2 , for nR3.…”

Section: Introductionmentioning

confidence: 67%

Worms by number

Glasby¹,

Glasby²,

Pleijel³

2008

Proc. R. Soc. B.

View full text Add to dashboard Cite

This paper investigates alternation patterns in length, shape and orientation of dorsal cirri (fleshy segmental appendages) of phyllodocidans, a large group of polychaete worms (Annelida). We document the alternation patterns in several families of Phyllodocida (Syllidae, Hesionidae, Sigalionidae, Polynoidae, Aphroditidae and Acoetidae) and identify the simple mathematical rule bases that describe the progression of these sequences. Two fundamentally different binary alternation patterns were found on the first four segments: 1011 for nereidiform families and 1010 for aphroditiform families. The alternation pattern in all aphroditiform families matches a simple one-dimensional cellular automaton and that for Syllidae (nereidiform) matches the Fibonacci string sequence. Hesionidae (nereidiform) showed the greatest variation in alternation patterns, but all corresponded to various known substitution rules. Comparison of binary patterns of the first 22 segments using a distance measure supports the current ideas on phylogeny within Phyllodocida. These results suggest that gene(s) involved in postlarval segmental growth employ a switching sequence that corresponds to simple mathematical substitution rules.

show abstract

“…The leaves of palm trees are arranged in helices and, depending on the species, present as a single conspicuous parastichy (Areca catechu), as two conspicuous parastichies (Chamaedorea costaricana) or as several conspicuous parastichies (Cocos nucifera, Elaeis guineensis, Phoenix dactylifera L.) [2]. The regular, almost mathematical geometric arrangement of the new leaves is governed by a numerical regularity consistent with Fibonacci sequences [3][4][5].…”

Section: Introductionmentioning

confidence: 99%

Phyllotaxis and handedness in date palm (Phœnix dactylifera L.)

Elhoumaizi¹,

Lecoustre²,

Oihabi³

2002

Fruits

View full text Add to dashboard Cite

Phyllotaxis and handedness in the date palm (Phoenix dactylifera L.).Abstract -Introduction. The present study had as objectives to measure the palm leaf divergence angle in the field, to determine the frequency of trees and offshoots showing clockwise and counterclockwise phyllotaxis, to establish the relationship between phyllotaxis of the mother tree and that of its offshoots, and, finally, to determine the effect of the divergence angle value on production. Materials and methods. The vegetal material was composed of four Moroccan cultivars of Phoenix dactylifera L. Observations were conducted in the south of Morocco on 20 trees per cultivar and four offshoots per tree. The divergence angle was measured on adult trees whereas phyllotaxic direction (clockwise or counterclockwise) was noted for both offshoots and adult trees. Results and discussion. This study showed that the phyllotaxic direction of the offshoots presents a clockwise or counterclockwise phyllotaxis independently of the mother plant. The divergence angle varied depending on the cultivar. This character is an interesting criterion, both for the selection of the best adapted cultivars for the marginal date palm growing regions, and for an optimal production. Morocco / Phoenix dactylifera / phyllotaxy Sens dominant de la phyllotaxie chez le palmier dattier (Phoenix dactylifera L.).Résumé -Introduction. L'étude présentée a eu pour objectif de mesurer en champ l'angle de divergence de l'insertion des palmes sur le tronc de palmiers dattiers, de déterminer la fré-quence des phyllotaxies droites ou gauches de plants adultes et de leurs rejets, d'évaluer le rapport entre la phyllotaxie de l'arbre mère et celle de ses rejets, et, finalement, de détermi-ner l'effet de l'angle de divergence des palmes sur la production du palmier. Matériel et méthodes. Le matériel végétal a été composé de quatre cultivars marocains de Phoenix dactylifera L. Les observations ont été conduites dans le sud du Maroc sur 20 palmiers adultes par cultivar et quatre rejets par palmier adulte. L'angle de divergence a été mesuré sur des palmiers adultes tandis que le sens phyllotaxique (gauche ou droite) a été observé à la fois sur les arbres adultes et sur leurs rejets. Résultats et discussion. Notre étude a montré que le sens phyllotaxique des rejets est indépendant de celui de la plante mère. L'angle de divergence a varié selon le cultivar. Ce caractère est un critère intéressant pour choisir des cultivars adaptés à une production marginale du palmier dattier ou à des conditions de production optimale. Maroc / Phoenix dactylifera / phyllotaxiePhyllotaxis and handedness in date palm

show abstract

A History of the Study of Phyllotaxis

Cited by 165 publications

References 68 publications

Stochastic occurrence of trimery from pentamery in floral phyllotaxis of Anemone (Ranunculaceae)

Stochastic occurrence of trimery from pentamery in floral phyllotaxis of Anemone (Ranunculaceae)

Worms by number

Phyllotaxis and handedness in date palm (Phœnix dactylifera L.)

Contact Info

Product

Resources

About