A Single Equation to Quantify the Hierarchy in Plant Size Induced by Competition Within Monocultures

The following empirical model: Ra(i) = r(1+ln(w(i)/wm)Kn)(1–(w(i)/W))(1–(y/Y)) which is based on the logistic growth equation, is developedto describe the growth of differently sized individuals withinplant communities. The model is tested against extensive setsof carrot (Daucus carota L.) and red beet (Beta vulgaris L.)data and is shown to fit well. The model was used to predictindividual plant weights in independent data. The agreementsbetween observed and predicted weights were often close butsome systematic deviations did occur. Thus, a single equationdescribed most of the complex interactions that occurred withinmonocultures of annual crop plants. Carrot, Daucus carota L., red beet, Beta vulgaris L., model, growth, variation     

Vegetable Plant Part Relationships. II. A Quantitative Hypothesis for Shoot/Storage Root Development

A simple quantitative formulation of the concept of the controlof partitioning of assimilated carbon by the behaviour of plantcomponents as competing sinks is developed. An equation, In s = + In r—t, relating shoot (s) and storage root (r) d. wts, and the lengthof growth period (t), is constructed by considering possiblefates of imported assimilates into different plant parts. Thevalues of the equations' parameters depend on the relative sinkactivities of the plant parts, tissue respiration rates andinitial weights of plant components. The equation closely fitteddata collected from a number of carrot and beet experimentsin which planting density had been varied. Estimates of shootand storage root maintenance respiration rates, derived fromthe parameter , were of the correct order of magnitude. Othersets of experimental data are also discussed in the light ofpredictions of the theory and possible uses and extensions ofthis approach to assimilate partitioning are briefly discussed. Daucus carota L., Beta vulgaris, carrot, red beet, partition of assimilated carbon, maintenance respiration, storage root     

Vegetable Plant Part Relationships. I. Effects of Time and Population Density on the Shoot and Storage Root Weights of Carrot (Daucus carota L.)

Chantenay carrot plants were grown in replicated plots containingdensities of 25, 64, 130 and 245 plants m^–2 and harvestedon 20 weekly occasions giving a total of 360 pairs of d. wtsand 13908 pairs of f. wts of shoots (s) and roots (r). The relationshipbetween the logarithms of s and r was curved for plants sampledon successive occasions from the same density but it was linearfor plants sampled on a single occasion, both within and betweendensities. A good overall relationship was In s = a+0.805 In r, where the intercept (a) ranged in approximately equal stepsfrom +1.2 to –1.1 at the first and last harvests respectively.Except for some systematic deviation from this equation at earlyharvests, the above relationship fitted the data well irrespectiveof the wide range of density and whole plant weight. Daucus carota L. carrot, root/shoot weight, population density, growth analysis     

The Influence of the Arrangement of Neighbours on the Spatial Component of Resource Capture by an Individual Plant in Even-aged Monocultures

Data from experiments using extensive row-spacing treatments(Benjamin and Sutherland, 1992) were analysed to indicate thatmorphological responses to micro-spatial heterogeneity in resourcelevel are important in determining the growth response of field-growncarrot plants to the spatial distribution of neighbours. Thisinformation is important for the simulation of the growth ofindividual plants in response to the presence of neighbours.Copyright1993, 1999 Academic Press Crop yield, plant weight, plant density, plant spacing, plant arrangement, row crop, carrot, Daucus carota L., mathematical model, neighbourhood     

Vegetable Plant Part Relationships. III. Modification of Carrot (Daucus carota L.) Root and Shoot Weights by Gibberellic Acid and Daminozide

Aqueous foliar sprays of N-dimethylaminosuccinamic acid (daminozide)at 2000 p.p.m. and gibberellic acid (GA) at 100 p.p.m. wereapplied 45, 59, 82 and 100 days after sowing to Chantenay carrotswith population densities of 244, 495 and 883 plants m^–2.The plants were harvested on ten approximately weekly occasions;fresh weights were determined and d. wt estimates were obtainedfor the separated shoots (s) and roots (r). Allometric linearregressions of the logarithm of s on that of r at each harvestseparately, clearly showed that GA always increased shoot: rootratio and reduced root yield (by approximately 35 per cent)but could sometimes also increase whole-plant weight. Daminozideincreased root yield (by approximately 7 per cent from 80 tonnesha^–1) and tended to have effects opposite to those ofGA. Daucus carota L., carrot, root weight, shoot weight, N-dimethylaminosuccinamic acid (daminozide), gibberellic acid     

Predicting the Growth Interactions between Plants in Mixed Species Stands using a Simple Mechanistic Model

The Conductance model is a simple mechanistic model used topredict the growth of species in monoculture or mixtures fromparameter values derived from plants grown in isolation. Incontrast to many mechanistic models that require extensive parameterization,the Conductance model is able to capture the growth of a broadrange of species using a few simplified assumptions regardingplant growth and easily derived species-specific parameter values.We examine the assumptions within the Conductance model thattotal leaf area per plant is proportional to total plant weight,and that an isolated plant has a projected crown zone area thatis proportional to the 2/3 power of its weight. Power ratherthan linear relations were found between weight and leaf areafor Brassica oleracea, Daucus carota, Matricaria inodora, Solanumnigrum,Stellaria media , Trifolium repens and Veronica persica.For all seven species, the value of the power was less thanunity. All species also exhibited a power relation between crownzone area and weight, with the slope of this relation beingless than 2/3 for B. oleracea, D. carota and S. media. Althoughmorphology type accounted for some of the variation in the parametervalues relating to light interception, there were considerabledifferences between species within upright or prostrate foliagespecies groups. The Conductance model was used to predict yieldsof B. oleracea, S. nigrum and V. persica grown in both monocultureand binary weed-crop mixtures over a range of temporal and spatialscales. After calibrating the model to non-competing plants,the model was used to predict growth of the weed and crop speciesin contrasting densities and stand types. In some crop-weedcombinations, predicted crop and weed weights were within 17%of observed values, with no systematic deviations. In others,systematic and large deviations occurred.Copyright 2001 Annalsof Botany Company Brassica oleracea L., Daucus carota L., Matricaria inodora L., Solanum nigrum L.,Stellaria media L., Trifolium repens L., Veronica persica L., competition, growth, leaf area, crown zone area, light, shoot morphology, canopy architecture     

A Model for Plant and Crop Growth, Allowing for Competition for Light by the use of Potential and Restricted Projected Crown Zone Areas

Relations for competition for light are developed and used ina plant growth model applicable to the isolated plant, to plantsin even-aged monoculture and to plants in mixed-aged monoculture.In an isolated plant, it is assumed that a leaf area, proportionalto the plant mass, is contained within a crown whose projectedzone area is proportional to plant mass to the 2/3 power. Self-shadingprogressively reduces the specific growth rate. If light werethe sole limiting resource and were constant, one can derivea growth equation, dw/dt = rw[1 - exp (-KW^1/3)]KW^1/3, which,integrated, gives w^1/3 = K^-1 ln {1 + [exp (KW^1/3₀)-1] exp (rt/3)}.It approximates, initially, to a particular case of the Richards(1959) empirical growth equation. In even-aged evenly-spaced monocrops competing only for light,it is assumed that the zone areas merge at canopy closure, andgrowth then follows the expolinear equation of Goudriaan andMonteith (1990), giving a continuous function based on groundcover. For mixed-aged monocrops, we assume a phase of canopyclosure that affects the younger plants earlier than the olderones. Under varying environmental conditions in the field, plant growthmay be affected by other factors in addition, e.g. temperature.In the growth conductance model of Aikman and Scaife (1993),the shading expressions are applied to the light-dependence. Data from two sowings of cabbage and carrot in even-aged andmixed-aged monocrops were used to test the model. The parametervalues derived from the even-aged monocultures predict the growthrates in the mixed-aged monocultures better than models whichassume uniform canopies.Copyright 1994, 1999 Academic Press Growth, model, monocrop, even-aged, mixed-aged, PAR, density, competition, light, shading, zone area, ground cover, temperature, carbon dioxide, expolinear, carrot, Daucus carota L., cabbage, Brassica oleracea L     

Direct Organogenesis from Petiole and Thin Cell Layer Explants in Sugar Beet Cultured In Vitro

Detrez, C., Tetu, T., Sangwan, R. S. and Sangwan-Norreel, B.S., 1988. Direct organogenesis from petiole and thin cell layerexplants in sugar beet cultured in vitro.—J. exp. Bot.39: 917–926. Plant regeneration was obtained by direct bud formation frompetiole as well as from thin cell layer explants taken fromsugar beet (Beta vulgaris L.) plants grown in vitro. The budswere mainly induced in the blade-petiole transition zone ofthe explants. High frequency bud regeneration was observed inpetiole and thin layer explants of 10 different breeding linesof sugar beet tested. Organogenesis resulted when petiole explantsexcised from 8-d-old seedlings grown on half-strength Murashigeand Skoog medium (MS) containing 3.0 mg dm^–3 naphthaleneacetic acid (NAA), 3.0 mg dm^–3 6-benzylaminopurine (BAP)and 1.0 mg dm^–3 2, 3, 5, triiodobenzoic acid (TIBA) werecultured on MS with 3.0 mg dm^–3 NAA and 3.0 mg dm^–3BAP. Thin cell layer strips isolated from shoot apices culturedon MS medium supplemented with 0–9 mg dm^–3 BAP or1.0 mg dm^–3 indolebutyric acid (IBA) formed adventitiousbuds on MS medium containing 0–5 mg dm^–3 NAA + 5.0mg dm^–3 BAP. Histological studies confirmed the sub-epidermalorigin of shoots. Key words: Beta vulgaris, direct organogenesis, in vitro culture, petiole, regeneration, thin cell layer     

Dynamics of Competition in Populations of Carrot (Daucus carota)

Populations of carrot (Daucus carota) were raised over a widerange of densities (79–5763 plants m^-2) to examine thedynamics of competition in terms of yield–density relationshipsand size variability, and to investigate the effects of nutrientsupply on competition. While the relationship between shootyield and density was asymptotic, the relationship between rootand total yield and density tended to be parabolic. For a giventime and density series the relationship between yield per unitarea and density could best be described by the model: y=w_mD_(1+aD)^b wherey is the yield per unit area,D is density,w_m, a andb arefitted parameters. The parametersw_m anda increased over timebut nutrient availability affected onlyw_m. An extension of thebasic yield-density model is proposed to describe the dynamicsof the yield–density relationship over time: y=kD_{[1+cexp(-rt)]{1+}     

Potential Yield in Carrots (Daucus carota L.): Theory, Test, and an Application

There is little published information on the physiological behaviourof carrots at the crop level. Here we derive and test a simplemodel for the potential yield of carrot crops. The model calculatesgreen leaf area index (L) using a daily time step. Dry matterproduction is related linearly to light interception, calculatedfromL and canopy light extinction coefficient (k). Two stagesof growth are distinguished. In stage 1, leaf expansion on eachplant is unaffected by neighbouring plants. Stage 2 commenceswhen L reaches a critical value and the plants start to interact.Compared to stage 1, stage 2 has slower leaf expansion and ak which varies with plant density. Dry matter partitioning betweenshoots and the storage root depends on L. We calibrated themodel for two processing cultivars, ‘Chantenay Red Core’and ‘Red Hot’, using data from a 1997–98 plantdensity experiment in Hawke's Bay, New Zealand. The model accountedfor 72% of the observed variation in root size and 79% of thevariation in yield. We tested the model against results fromtwo experiments in 1995–96 and 1996–97. In bothexperiments the same two cultivars were sown at three differentsowing times. Overall, the model accounted for 72% of the observedvariation in root size and 66% of the variation in yield, showingthat it is portable to other environments. Finally, we appliedthe model to interpret the effects of sowing date in these twoexperiments. Previous attempts were confounded by variationin plants m^-2with sowing date. The model allowed us to separatethe effects of these factors, and indicated that early sowingsubstantially benefited yield. Copyright 2000 Annals of BotanyCompany Carrot, Daucus carota L., day-degrees, genetic algorithm, growth modelling, plant density, potential yield, thermal time     

Myo-inositol Biosynthesis and Galactose Utilization by Wild Carrot (Daucus carota L. var. carota) Suspension Cultures

Wild carrot (Daucus carota var. carota) cell suspensions (63–120µm in diameter) were grown on a mineral salt medium containingdifferent carbon sources in the presence (10 mM) and absenceof myo-inositol. The data obtained after 14 and 21 days of growthshow that an external supply of myo-inositol is not essentialfor growth and development of wild carrot embryos. A linearrelationship was found between growth (d. wt) and embryo numberin the presence and absence of myo-inositol. Standard stock cell suspensions never exposed to exogenous myo-inositoland grown in the absence of 2, 4-D with glucose or galactoseas the carbon source synthesized radioactive myo-inositol whenexposed to D-[1–¹⁴C]glucose or D-[1–¹⁴C]galactose.Gas chromatographic analyses revealed the presence of myo-inositolin the bulk tissue grown in the presence of 2.25 µM 2,4-D with glucose, galactose, fructose or mannose as the solecarbohydrate. We could not detect any component indicating anisomer or a methylated derivative of an inositol in the tissueextracts. Stock cultures were maintained (with 2, 4-D) successfully forat least three successive sub-cultures on D-galactose as thesole carbohydrate. The growth achieved over this culture periodshowed that wild carrot cells used by us could quickly adaptto grow on D-galactose as rapidly as they grow on sucrose. Daucus carota L., wild carrot, suspension cultures, myo-inositol, galactose     

Influence of Gibberellic Acid on Nucleolar Size Changes in Storage-tissue 3

The nucleoli of tissue discs cut from stem tubers of Helianthustuberosus L. or roots of Daucus carota L. increase in size whenthe discs are shaken in aerated distilled water. The size increaseof up to several hundred per cent which occurs within 24 h isfollowed by a significant decrease in size within the next 24h. Addition of 10^-5M gibberellic acid to the system acceleratesthe beginning of the size increase and finally results in alarger nucleolus.     

An Empirical Model for Leaf Expansion in Cacao in Relation to Plant Water Deficit

Cacao (Theobroma cacao L.) seedlings at the onset of a flushcycle were exposed to five different irrigation treatments.The expansion of all leaves in an emerging flush was followed,and estimates of leaf water potential(_w) were made on each daythat leaf areas were measured. The growth in area of the leaveswas fitted with a modified logistic curve of the form y = a/[1+ be ^–(ct+dt2)], and parameters of leaf growth were derivedfrom the fitted constants. A coefficient of stress exposure,S, was derived as the slope of the relation between cumulative_w and time. Three parameters of the logisitc function (a, cand d) were strongly associated with S. By fitting regressionsfor the relations between S and estimates of each parameterfor the five treatments, values of a, b, c and d may be estimatedat any level of S encompassed by these data. The effects ofwater stress on leaf expansion rate and on the final leaf areaattained by the emerging flush can be adequately predicted bythis technique. Theobroma cacao L.cacao, leaf expansion, logistic model, water stress     

Carbon Dioxide Fixation and Ribulose-1, 5-bisphosphate Carboxylase Activity in Intact Leaves of Sugar Beet Plants Exposed to Salinity and Water Stress

The influence of salinity in the growing media on ribulose-1,5-bisphosphate (RuBP) carboxylase and on CO₂ fixation by intactsugar beet (Beta vulgaris) leaves was investigated. RuBP carboxylase activity was mostly stimulated in young leavesafter exposure of plants for 1 week to 180 mM NaCl in the nutrientsolution. This stimulation was more effective at the higherNaHCO₂ concentrations in the reaction medium. Salinity also enhanced CO₂ fixation in intact leaves mostlyat rate-limiting light intensities. A 60 per cent stimulationin CO₂ fixation rate was obtained by salinity under 450 µEm^–2 s^–1. At quantum flux densities of 150 µEm^–2 s^–1 (400–700 nm) this stimulation was280 per cent. Under high light intensities no stimulation bysalinity was found. In contrast, water stress achieved by directleaf desiccation or by polyethylene glycol inhibited enzymeactivity up to fourfold at –1.2 MPa. Beta vulgaris, sugar beet, ribulose-1, 5-bisphosphate carboxylase, salt stress, water stress, carbon dixoide fixation, salinity     

Uptake and Physiological Effects of Cadmium in Sugar Beet (Beta vulgaris) Related to Mineral Provision

Sugar beet seedlings (Beta vulgaris L. cv. Monohill) were grownfor 14 d on a nutrient solution based on the nutrient proportionsin healthy plants. Nutrients were supplied either once at relativelyhigh concentrations, or in small amounts with a daily incrementalincrease of 0?15 or 0?20 in accordance with an exponential growthrate. Cadmium (0, 0?6, 2?3, 50 or 20?0 µmol) was introducedeither by a single addition or in daily increments of 0?15 or0?20. Cadmium uptake, expressed as a percentage of total Cd²⁺supplied, decreased with increasing total C^d2+ content and withdecreasing availability of nutrients. With a daily supply ofcadmium, net uptake, transport and content per unit of dry weightin roots and shoots were related to the total Cd²⁺ supplied.Cadmium caused growth retardation, increased root/whole-plantratio, and decreased root-tip respiration and photosynthesis.At high initial nutrient concentrations, Cd²⁺ decreased thecontents of sucrose, glucose, fructose, and starch per unitof dry weight. The opposite was found if nutrients were addeddaily. In the latter case, the dry weight/fresh weight ratioalso increased. The effects of cadmium were related to [Cd²⁺]in proportion both to the root absorption area and to the nutrientconcentration. Key words: Sugar beet, mineral provision, cadmium uptake, sugar formation, growth     

Binding of glycolytic enzymes to a particulate fraction in carrot and sugar beet storage roots : dependence on metabolic state

Numerous studies have demonstrated a rapid increase in the respiration rate during aging of slices of tuber and storage roots. To determine the molecular mechanisms of this phenomenon, the role of enzyme binding to the subcellular particulate fraction has been assessed in carrot (Daucus carota L.) and sugar beet (Beta vulgaris L.). Soluble versus particulate fractions were separated by centrifugation at 16,000g and both fractions assayed for the activities of six glycolytic enzymes. Preparations from sliced and aged tissues showed elevated percentages of five enzymes associated with the particulate fraction as compared with controls. The stimulation of respiration which occurs during aging of underground storage organ slices may result, in part, from an association of enzymes with the particulate fraction of the cell promoting an elevated glycolytic rate.     

Effects of Ca2+ and Cd2+ on the Carbohydrate Metabolism in Sugar Beet (Beta vulgaris)

Sugar beet (Beta vulgaris L. cv. Monohill) were cultivated ina nutrient solution with different combinations of Ca²⁺ (36,180, 720 or 3560µM) and Cd²⁺ (0, 1, 5 or 20µM).The dry and fresh weights, the content of Ca²⁺ and Cd²⁺ , sucrose,fructose, glucose and starch in 5-week-old plants was analysedas well as the rate of [¹⁴C]-sucrose uptake in discs from 3-month-oldstorage roots. The carbohydrate metabolism was indirectly affectedby the presence of calcium or cadmium. Cadmium caused a diminisheddry weight and carbohydrate concentration. The dry weight wasunaffected by the Ca²⁺ level but the carbohydrate distributionbetween storage and growth processes was affected; at low Ca²⁺in the tissue, the growth was retarded and the level of storagecarbohydrate increased, while at high Ca²⁺ the opposite wasfound. The [¹⁴C]-sucrose uptake decreased in tap roots cultivatedat low Ca²⁺ . Long term exposure to Cd²⁺ also decreased thesucrose uptake in tap roots. Direct Cd²⁺ addition to the assaymedium, however, increased the sucrose uptake, probably at thetonoplast, while Ca²⁺ had no transient effect on the uptake.Cadmium increased the Ca²⁺ concentration in the plant, but Ca²⁺did not affect the net-uptake of Cd²⁺. Key words: Sugar beet, cadmium uptake, calcium uptake, carbohydrate formation, growth     

Biochemical Activities and Compounds in Seeds: Possible Tools for Seed Quality Evaluation

The rate and final percentage of field emergence (seed quality)was measured in 55 seed-lots of carrots (Daucus carota L.),45 seed-lots of onion (Allium cepa L.) and 32 seed-lots of cabbage(Brassica oleracea var. capitata), together with the followingbiochemical indices: rates of ATP-synthesis; reduction of tetrazoliumby seed powder; AMP and malate content. Differences in field performance of seed-lots (seed quality)showed some correlation with particular biochemical indices.Seed quality was most significantly correlated with AMP contentand ATP synthesis in carrot, with malate content, reductionof tetrazolium and ATP synthesis in onion and with malate andAMP content and reduction of tetrazolium in cabbage. Daucus carota L., Allium cepa L., Brassica oleracea var capitata, carrot, onion, seed quality, ATP, biochemical indices     

Occurrence of Localized Intense Cation Uptake Sites in the Vascular Rings of Red Beet Storage Tissue 2

Development and decline of cation uptake capacity in discs takenfrom the vascular and parenchyma rings of storage tissue ofred table beet (Beta vulgaris L.) were observed during 12 dof ageing. Uptake capacity for Na⁺ and Rb⁺ showed a steady risereaching maximums by the fourth to fifth days of ageing. Thereafter,there was a steady decline in the uptake rates. Vascular ringtissues were able to develop a greater uptake capacity for bothNa⁺ and Rb⁺ than the tissues of parenchyma rings. This difference,which was more pronounced for Rb⁺ than for Na⁺ uptake, is attributedto a combination of variations in cell density and differencesin the acquisition and retention of the cation uptake capacity.Respiration of tissue discs showed no significant rise duringageing, nor were there significant differences in the respirationof vascular and parenchyma tissues. Vascular tissues containedsignificantly more betacyanin than parenchyma tissues; and theyretained their pigment, as well as their acquired cation uptakecapacity, for a longer period during the ageing process. Key words: Cation uptake, Red beet, Vascular rings, Ageing     

Growth of Lettuce, Onion and Red Beet. 2. Growth Modelling

Data from a field experiment carried out on growth of lettuce,onion, and red beet were used: (a) to fit logistic, Gompertz,expolinear and ‘Scaife and Jones’ (Journal of AgriculturalScience, Cambridge86 : 83–91, 1976) functions using time,day-degrees and effective day-degrees; and (b) to test a mechanistically-basedmodel that combines the effects of potentially limiting variables,such as temperature and light, and allows for plant zone areain light interception (Aikman and Benjamin,Annals of Botany73 : 185–194, 1994). The use of day-degrees and effective day-degrees instead oftime, in general, improved the fit and gave a better estimateof growth parameters. The best fit was obtained by the Gompertzfunction for lettuce, and by the expolinear function for redbeet and for onion. The expolinear function seemed the mostreliable function in estimating the early relative growth ratewhich is the crucial value in all the mechanistic models. Thezone area model showed very good simulations for lettuce andred beet, but it requires a modification for canopy senescencein onion. Lettuce; Lactuca sativa L. var.crispa ; onion; Allium cepa L.; red beet; Beta vulgaris L. var.conditiva ; growth modelling; logistic; expolinear; Gompertz; zone area; time; day-degrees; effective day-degrees