Hydrodynamic Modelling Study of Angiosperm Leaf Venation Types

The morphology of leaf venation has been studied repeatedly and various systems have been proposed for the classification of the observed leaf venation patterns. Almost nothing is known, however, about the functional properties of the various venation types. Using a computer modelling approach we analysed the water transport properties of typical craspedodromous and brochidodromous venation patterns. The water transport through the leaf and the veins was modelled as a fluid flow through a porous medium and the mathematical model was solved with the Finite Element Method. The simulations illustrate that the leaf margin represents a critical region in terms of water supply. The results provide a plausible functional explanation for three well known phenomena: 1) the correlation between craspedodromous venation and the formation of leaf teeth; 2) the fact that craspedodromous venation is more common in temperate than in tropical regions and 3) the fact that xeromorphic leaves tend to have more closed venation.     

叶脉结构与功能及其对叶片经济谱的影响

叶脉由贯穿于叶肉内部的维管组织及其外围机械组织构成,多样化的脉序及网络结构使叶脉系统发生变异和功能分化。该文综述了叶脉系统结构与功能的最新研究进展。通过聚焦叶脉分级系统的结构与功能及其在叶片经济谱(LES)中的重要性,解释叶脉性状与其它叶片功能性状之间的关系及机制。不同等级叶脉在机械支撑与水分运输方面存在功能分化,其中1–3级粗脉在维持叶片形状和叶表面积以及物理支撑方面发挥重要作用,有利于维持叶片最大受光面积;4级及以上细脉具有水分调节功能,它们与气孔相互协调,影响叶片水分运输、蒸腾散热和光合作用速率。叶片生长过程与叶脉发育的动态变化模式决定叶脉密度,并影响叶脉密度与叶片大小之间的关系:叶面积与粗脉密度呈显著负相关,与粗脉直径呈显著正相关,而与细脉密度无关。与叶脉性状相关的叶片经济谱框架模型预测,叶脉密度较高的叶片寿命短、比叶重较小,叶片最大碳同化速率、代谢速率以及资源获取策略潜力较高。     

叶脉网络功能性状及其生态学意义

叶脉网络结构是叶脉系统在叶片里的分布和排列样式。早期叶脉网络结构研究主要集中在其分类学意义上; 近年来叶脉网络功能性状及其在植物水分利用上的意义已成为植物生态学研究的热点。该文介绍了叶脉网络功能性状的指标体系(包括叶脉密度、叶脉直径、叶脉之间的距离、叶脉闭合度等), 综述了叶脉网络功能性状与叶脉系统功能(包括水分、养分和光合产物等物质运输、机械支撑和虫害防御等)的关系, 叶脉网络功能性状与叶片其他功能性状(包括比叶重、叶寿命、光合速率、叶片大小、气孔密度等)的协同变异和权衡关系, 以及叶脉网络功能性状随环境因子(包括水分、温度、光照等)的变化规律等方面的最新研究进展。此外, 叶脉网络功能性状的研究成果也被应用于古环境重建、城市交通规划、流域规划及全球变化研究中。由于叶脉网络功能性状是环境因子与系统发育共同作用的结果, 未来开展分子—叶片—植物—生态系统等多尺度的叶脉网络功能性状研究, 理清叶脉网络功能性状与气孔失水—茎干导水—根系吸水等植物水分利用的关系, 将为预测植物及生态系统对全球变化的响应提供新的启示。     

The role of elastic stresses on leaf venation morphogenesis

We explore the possible role of elastic mismatch between epidermis and mesophyll as a driving force for the development of leaf venation. The current prevalent ‘canalization’ hypothesis for the formation of veins claims that the transport of the hormone auxin out of the leaves triggers cell differentiation to form veins. Although there is evidence that auxin plays a fundamental role in vein formation, the simple canalization mechanism may not be enough to explain some features observed in the vascular system of leaves, in particular, the abundance of vein loops. We present a model based on the existence of mechanical instabilities that leads very naturally to hierarchical patterns with a large number of closed loops. When applied to the structure of high-order veins, the numerical results show the same qualitative features as actual venation patterns and, furthermore, have the same statistical properties. We argue that the agreement between actual and simulated patterns provides strong evidence for the role of mechanical effects on venation development.     

Decline of leaf hydraulic conductance with dehydration: relationship to leaf size and venation architecture

Across plant species, leaves vary enormously in their size and their venation architecture, of which one major function is to replace water lost to transpiration. The leaf hydraulic conductance (K(leaf)) represents the capacity of the transport system to deliver water, allowing stomata to remain open for photosynthesis. Previous studies showed that K(leaf) relates to vein density (vein length per area). Additionally, venation architecture determines the sensitivity of K(leaf) to damage; severing the midrib caused K(leaf) and gas exchange to decline, with lesser impacts in leaves with higher major vein density that provided more numerous water flow pathways around the damaged vein. Because xylem embolism during dehydration also reduces K(leaf), we hypothesized that higher major vein density would also reduce hydraulic vulnerability. Smaller leaves, which generally have higher major vein density, would thus have lower hydraulic vulnerability. Tests using simulations with a spatially explicit model confirmed that smaller leaves with higher major vein density were more tolerant of major vein embolism. Additionally, for 10 species ranging strongly in drought tolerance, hydraulic vulnerability, determined as the leaf water potential at 50% and 80% loss of K(leaf), was lower with greater major vein density and smaller leaf size (|r| = 0.85-0.90; P < 0.01). These relationships were independent of other aspects of physiological and morphological drought tolerance. These findings point to a new functional role of venation architecture and small leaf size in drought tolerance, potentially contributing to well-known biogeographic trends in leaf size.     

Leaf Architecture of Some Monocotyledons with Reticulate Venation

Twelve species belonging to seven monocotyledonous families:Hydrocharitaceae, Taccaceae, Dioscoreaceae, Smilacaceae, Araceae,Alismataceae and Aponogetonaceae show reticulate venation typicalof dicotyledons. A study of the leaves of these species showsthat venation patterns are usually curvipalmate-convergate,occasionally rectipalmate or collimate, and rarely pinnate lyratetype. Number, size and shape of areoles, number of primaries,number of secondaries along one side of the primaries, anglebetween 1 and 2° veins and number of vein endings per areoleare given for each species. Intesecondary veins, isolated tracheids,loops, extension cells, raphide and raphide idioblasts and terminaltracheids were observed. Marginal ultimate venation is mostlyarcuate. Major and minor veins are jacketed by parenchymatousbundle sheath cells. The lamina of Tacca leontopetaloides, Colocasiaesculenta and Scindapsus aureus show a single midrib-like centralregion similar to that of dicotyledonous leaves, and it is multistrandedin Aponogeton natans, Limnophyton obtusifolium and Ottelia alismoides.The degree of vein order is most commonly up to fourth or fifthand rarely up to sixth in Dioscorea hispida. Monocotyledons, leaf architecture, vein endings, venation, areoles     

Venation networks and the origin of the leaf economics spectrum

The leaf economics spectrum describes biome-invariant scaling functions for leaf functional traits that relate to global primary productivity and nutrient cycling. Here, we develop a comprehensive framework for the origin of this leaf economics spectrum based on venation-mediated economic strategies. We define a standardized set of traits - density, distance and loopiness - that provides a common language for the study of venation. We develop a novel quantitative model that uses these venation traits to model leaf-level physiology, and show that selection to optimize the venation network predicts the mean global trait-trait scaling relationships across 2548 species. Furthermore, using empirical venation data for 25 plant species, we test our model by predicting four key leaf functional traits related to leaf economics: net carbon assimilation rate, life span, leaf mass per area ratio and nitrogen content. Together, these results indicate that selection on venation geometry is a fundamental basis for understanding the diversity of leaf form and function, and the carbon balance of leaves. The model and associated predictions have broad implications for integrating venation network geometry with pattern and process in ecophysiology, ecology and palaeobotany.     

Reviewing models of auxin canalization in the context of leaf vein pattern formation in Arabidopsis

In both plants and animals vein networks play an essential role in transporting nutrients. In plants veins may also provide mechanical support. The mechanism by which vein patterns are formed in a developing leaf remains largely unresolved. According to the canalization hypothesis, a signal inducing vein differentiation is transported in a polar manner and is channeled into narrow strands. Since inhibition of auxin transport affects venation patterns, auxin is likely to be part of the signal involved. However, it is not clear whether the canalization hypothesis, initially formulated over 25 years ago, is compatible with recent experimental data. In this paper we focus on three aspects of this question, and show that: (i) canalization models can account for an acropetal development of the midvein if vein formation is sink-driven; (ii) canalization models are in agreement with venation patterns resulting from inhibited auxin transport and (iii) loops and discontinuous venation patterns can be obtained assuming proper spacing of discrete auxin sources.     

Quantifying leaf venation patterns: two-dimensional maps

The leaf vasculature plays crucial roles in transport and mechanical support. Understanding how vein patterns develop and what underlies pattern variation between species has many implications from both physiological and evolutionary perspectives. We developed a method for extracting spatial vein pattern data from leaf images, such as vein densities and also the sizes and shapes of the vein reticulations. We used this method to quantify leaf venation patterns of the first rosette leaf of Arabidopsis thaliana throughout a series of developmental stages. In particular, we characterized the size and shape of vein network areoles (loops), which enlarge and are split by new veins as a leaf develops. Pattern parameters varied in time and space. In particular, we observed a distal to proximal gradient in loop shape (length/width ratio) which varied over time, and a margin-to-center gradient in loop sizes. Quantitative analyses of vein patterns at the tissue level provide a two-way link between theoretical models of patterning and molecular experimental work to further explore patterning mechanisms during development. Such analyses could also be used to investigate the effect of environmental factors on vein patterns, or to compare venation patterns from different species for evolutionary studies. The method also provides a framework for gathering and overlaying two-dimensional maps of point, line and surface morphological data.     

In silico leaf venation networks: Growth and reorganization driven by mechanical forces

Development commonly involves an interplay between signaling, genetic expression and biophysical forces. However, the relative importance of these mechanisms during the different stages of development is unclear. Leaf venation networks provide a fitting context for the examination of these questions. In mature leaves, venation patterns are extremely diverse, yet their local structure satisfies a universal property: at junctions between veins, angles and diameters are related by a vectorial equation analogous to a force balance. Using a cell proliferation model, we reproduce in silico the salient features of venation patterns. Provided that vein cells are given different mechanical properties, tensile forces develop along the veins during growth, causing the network to deform progressively. Our results suggest that the local structure of venation networks results from a reorganization driven by mechanical forces, independently of how veins form. This conclusion is supported by recent observations of vein development in young leaves and by the good quantitative agreement between our simulations and data from mature leaves.     

Approaches to the identification of angiosperm leaf remains

During the past 125 years the history of early angiosperms, interpreted through the fossil leaf record has been largely an exercise in paleofloristic studies, ignoring evolution. Imprecise identifications of ancient leaves “matched” to extant genera and families have been used as the basis for reconstructions of paleocommunities and paleoclimates. However, as the result of careful morphological studies of leaf form, venation and cuticular features new insights into the evolution of angiosperms are now available. In this paper considerations are given to the usefulness and shortcomings of leaf form, venation and cuticular analysis as diagnostic tools of plant identification. Many techniques for the study of the morphology of modern and fossil leaves are included in this paper as well as tables outlining features of leaf venation and the epidermis. Careful morphological studies of leaf form (such as the venation and epidermal characters emphasized in this paper) will provide better understanding of the relationships of living angiosperms and transform the fossil leaf record into useful data that can be used to study the evolution of the angiosperms.     

Developmental Morphology of Platycerium coronarium (Koenig) Desv

The growth habit and certain developmental aspects of Platyceriumcoronarium (stag's horn fern) are described. Starting from theprimordial stage, the nest and pendulous leaves develop to maturityin 90 and 80 days respectively. The fertile lobe, which is partof the pendulous leaf, reaches its maximum size in 40 days.The morphogenesis of the nest leaf is more variable, and itmatures and deteriorates earlier than the pendulous leaf. Theacrostichoid sorus formation is completed in 3 weeks from inceptionand spore dispersal takes place when the fertile lobe is about100 days old. The area of the fertile lobe and number of sporesproduced were determined. On Knop's agar medium the gametophytesdevelop in 2 months and 85 per cent of them are unisexual (bothmale and female) and 15 per cent bisexual. Less than 1 per centof the gametophytes give rise to sporophytes. The juvenile leavesare simple, displaying open dichotomous venation; the firstnest and pendulous leaves are produced 24 months after the dateof spore germination. Platycerium coronarium, stag's horn fern, leaf development, morphogenesis, spore production     

Ectopic divisions in vascular and ground tissues of Arabidopsis thaliana result in distinct leaf venation defects

Leaf venation patterns vary considerably between species and between leaves within a species. A mechanism based on canalization of auxin transport has been suggested as the means by which plastic yet organized venation patterns are generated. This study assessed the plasticity of Arabidopsis thaliana leaf venation in response to ectopic ground or procambial cell divisions and auxin transport inhibition (ATI). Ectopic ground cell divisions resulted in vascular fragments between major veins, whereas ectopic procambial cell divisions resulted in additional, abnormal vessels along major veins, with more severely perturbed lines forming incomplete secondary and higher-order venation. These responses imply limited vascular plasticity in response to unscheduled cell divisions. Surprisingly, a combination of ectopic ground cell divisions and ATI resulted in massive vascular overgrowth. It is hypothesized that the vascular overproduction in auxin transport-inhibited wild-type leaves is limited by simultaneous differentiation of ground cells into mesophyll cells. Ectopic ground cell divisions may negate this effect by providing undifferentiated ground cells that respond to accumulated auxin by differentiation into vascular cells.     

Differences between Acer saccharum Leaves from Open and Wind-Protected Sites

Size-correlated variations of sugar maple (Acer saccharum L.)leaf anatomy and mechanical properties were determined for twosaplings (from open and wind protected sites) to examine theeffects of chronic wind-induced mechanical disturbance on leafsize, rigidity and flexibility. Based on a total sample of 78leaves, comparisons indicated that the mean size of the opensite leaves (n =37) was smaller in every measured respect comparedwith that of the closed site leaves (n =41). Open site leaveshad, on average, smaller lamina surface area, shorter and narrowerpetioles with a smaller volume fraction of lignified tissuesthan those from the closed site. Biomechanical comparisons alsoindicated that the petioles of open site leaves were significantlyless rigid and more flexible than the petioles of closed siteleaves. Despite differences in mean leaf size and petiolar rigidityand flexibility, allometric comparisons indicated the size-dependentvariations in leaf properties were continuous across the twosites. Also, the allocation of leaf biomass with respect tostem biomass along the lengths of the two saplings was statisticallyidentical and indistinguishable from an isometric relationship.However, the smaller diametered branches of the open site saplingbore smaller and fewer leaves with less stiff and rigid petiolesthan those of the closed site sapling. The differences betweenopen and closed site leaves are interpreted to be functionallyadaptive and to indicate that chronic mechanical disturbanceof developingAcer saccharum leaves prefigures mature leaf sizeand petiole properties that have the capacity to reduce winddrag. Results from petioles are contrasted with those of mechanicallydisturbed stems. Leaves; Acer saccharum ; biomechanics; wind-drag; allometry     

Hydraulic analysis of water flow through leaves of sugar maple and red oak

Leaves constitute a substantial fraction of the total resistance to water flow through plants. A key question is how hydraulic resistance within the leaf is distributed among petiole, major veins, minor veins, and the pathways downstream of the veins. We partitioned the leaf hydraulic resistance (R(leaf)) for sugar maple (Acer saccharum) and red oak (Quercus rubra) by measuring the resistance to water flow through leaves before and after cutting specific vein orders. Simulations using an electronic circuit analog with resistors arranged in a hierarchical reticulate network justified the partitioning of total R(leaf) into component additive resistances. On average 64% and 74% of the R(leaf) was situated within the leaf xylem for sugar maple and red oak, respectively. Substantial resistance-32% and 49%- was in the minor venation, 18% and 21% in the major venation, and 14% and 4% in the petiole. The large number of parallel paths (i.e. a large transfer surface) for water leaving the minor veins through the bundle sheath and out of the leaf resulted in the pathways outside the venation comprising only 36% and 26% of R(leaf). Changing leaf temperature during measurement of R(leaf) for intact leaves resulted in a temperature response beyond that expected from changes in viscosity. The extra response was not found for leaves with veins cut, indicating that water crosses cell membranes after it leaves the xylem. The large proportion of resistance in the venation can explain why stomata respond to leaf xylem damage and cavitation. The hydraulic importance of the leaf vein system suggests that the diversity of vein system architectures observed in angiosperms may reflect variation in whole-leaf hydraulic capacity.     

CLASSIFICATION OF THE ARCHITECTURE OF DICOTYLEDONOUS LEAVES

A classification of the architectural features of dicot leaves—i.e., the placement and form of those elements constituting the outward expression of leaf structure, including shape, marginal configuration, venation, and gland position—has been developed as the result of an extensive survey of both living and fossil leaves. This system partially incorporates modifications of two earlier classifications: that of Turrill for leaf shape and that of Von Ettingshausen for venation pattern. After categorization of such features as shape of the whole leaf and of the apex and base, leaves are separated into a number of classes depending on the course of their principal venation. Identification of order of venation, which is fundamental to the application of the classification, is determined by size of a vein at its point of origin and to a lesser extent by its behavior in relation to that of other orders. The classification concludes by describing features of the areoles, i.e., the smallest areas of leaf tissue surrounded by veins which form a contiguous field over most of the leaf. Because most taxa of dicots possess consistent patterns of leaf architecture, this rigorous method of describing the features of leaves is of immediate usefulness in both modern and fossil taxonomic studies. In addition, as a result of this method, it is anticipated that leaves will play an increasingly important part in phylogenetic and ecological studies.     

Water supply and demand remain balanced during leaf acclimation of Nothofagus cunninghamii trees

Higher leaf vein density (D(vein) ) enables higher rates of photosynthesis because enhanced water transport allows higher leaf conductances to CO(2) and water. If the total cost of leaf venation rises in proportion to the density of minor veins, the most efficient investment in leaf xylem relative to photosynthetic gain should occur when the water transport capacity of the leaf (determined by D(vein) ) matches potential transpirational demand (determined by stomatal size and density). We tested whether environmental plasticity in stomatal density (D(stomata) ) and D(vein) were linked in the evergreen tree Nothofagus cunninghamii to achieve a balance between liquid and gas phase water conductances. Two sources of variation were examined; within-tree light acclimation, and differences in sun leaves among plants from ecologically diverse populations. Strong, linear correlations between D(vein) and D(stomata) were found at all levels of comparison. The correlations between liquid- and vapour-phase conductances implied by these patterns of leaf anatomy were confirmed by direct measurement of leaf conductance in sun and shade foliage of an individual tree. ? Our results provide strong evidence that the development of veins and stomata are coordinated so that photosynthetic yield is optimized relative to carbon investment in leaf venation.     

Quantitative neutron imaging of water distribution,venation network and sap flow in leaves

Main conclusion

Quantitative neutron imaging is a promising technique to investigate leaf water flow and transpiration in real time and has perspectives towards studies of plant response to environmental conditions and plant water stress. The leaf hydraulic architecture is a key determinant of plant sap transport and plant–atmosphere exchange processes. Non-destructive imaging with neutrons shows large potential for unveiling the complex internal features of the venation network and the transport therein. However, it was only used for two-dimensional imaging without addressing flow dynamics and was still unsuccessful in accurate quantification of the amount of water. Quantitative neutron imaging was used to investigate, for the first time, the water distribution in veins and lamina, the three-dimensional venation architecture and sap flow dynamics in leaves. The latter was visualised using D₂O as a contrast liquid. A high dynamic resolution was obtained by using cold neutrons and imaging relied on radiography (2D) as well as tomography (3D). The principle of the technique was shown for detached leaves, but can be applied to in vivo leaves as well. The venation network architecture and the water distribution in the veins and lamina unveiled clear differences between plant species. The leaf water content could be successfully quantified, though still included the contribution of the leaf dry matter. The flow measurements exposed the hierarchical structure of the water transport pathways, and an accurate quantification of the absolute amount of water uptake in the leaf was possible. Particular advantages of neutron imaging, as compared to X-ray imaging, were identified. Quantitative neutron imaging is a promising technique to investigate leaf water flow and transpiration in real time and has perspectives towards studies of plant response to environmental conditions and plant water stress.     

Genetic Control of Leaf Morphology: A Partial View

The partial-shoot theory of the leaf was a controversial hypothesisrevived by Arber and supported by her morphological and anatomicalstudies. This theory highlighted the parallels between leavesand shoots and contrasted with an alternative view that leaves,with their limited growth potential, are completely distinctfrom shoots. Pea morphological mutants with altered growth potentialin their compound leaves are described. The unifoliata mutanthas a limited growth potential relative to wild-type;cochleata,afila and insecatus have extended potentials. Characterizationof theunifoliata mutation and gene expression patterns indicatethat unifoliata is a common factor in pea compound leaf andfloral shoot development, and so provides rudimentary supportfor the idea that some leaves have shoot-like characteristics.Tomato leaves are also considered to lend tentative support.The afila and insecatus leaf forms are described as bipinnateand weakly bipinnate, respectively. These and the tendril-lessmutant are potential phenocopies of legume relatives, an ideabased on Vavilov's law of homologous series of variation. Arberillustrated, but did not articulate in genetical terms, thatmorphological variation in structures within an individual plantcan be interpreted as reiteration of design. Analogous withVavilov's view, this can be considered a consequence of thesame genetic programme in a different location.Copyright 2001Annals of Botany Company Agnes Arber, compound leaf, genetics, knotted1, legume, morphology, mutant, partial-shoot, pea, Pisum sativum, unifoliata, Vavilov