A theoretical explanation of the Piper-Steenbjerg effect

The relation between plant yield and plant nutrient concentration is sometimes found to be negative, a phenomenon called the Piper-Steenbjerg (PS) effect. A model was used to examine the underlying causes of the PS effect, and the conditions under which it is most likely to occur. The model uses the nutrient productivity concept for plant growth and a nutrient uptake equation in which root growth rate and external nutrient concentration determine the uptake rate. The study suggests that the PS effect occurs when the fast growth of plants grown in an initially higher nutrient medium eventually leads to a more rapid depletion of external nutrients than the slow growth of plants grown in an initially lower nutrient medium. The fast growth of plants combined with a rapid decrease of nutrient uptake leads to a fall in plant nutrient concentration. When these large plants with very low nutrient concentrations are compared with the smaller, slow-growing plants, a PS effect may be found depending on the time at which the plants are harvested, and on the range of initial values of the external nutrient content. When it occurs, the effect is greatest when the depletion volume per unit new root (V_d) is lowest, and when the mobility of nutrients in the medium is highest (α=1). The results are sufficiently general to apply to a variety of nutrients, plant species and growth media.     

Influence of plant nutrient concentration on growth rate: Use of a nutrient interruption technique to determine critical concentrations of N,P and K in young plants

A method is described for determining the way in which growth rate varies with plant nutrient concentration using a simple nutrient interruption technique incorporating only 2 treatments. The method involves measuring the changes in growth and nutrient composition of otherwise well-nourished plants after the supply of one particular nutrient has been withheld. Critical concentrations are estimated from the relationship between the growth rate (expressed as a fraction of that for control plants of the same size which remained well-nourished throughout) and the concentration of the growth-limiting nutrient in the plants as deficiency developed. Trials of the method using young lettuce plants showed that shoot growth rate was directly proportional to total N (nitrate plus organic N) concentration, and linearly or near-linearly related to K and P concentration over a wide range; the corresponding relationship for nitrate was strongly curvi-linear. Critical concentrations (corresponding to a 10% reduction in growth rate) determined from these results were similar to critical values calculated from models derived from field data, but were generally higher than published estimates of critical concentration (based on reductions in shoot weight) for plants of a similar size. Reasons for these discrepancies are discussed. Nitrate, phosphate or potassium concentrations in sap from individual leaf petioles were highly sensitive to changes in shoot growth rate as deficiency developed, with the slope of the relationships varying with leaf position, due to differences both in their initial concentration and in the rates at which they were utilized in individual leaves. Each nutrient was always depleted more quickly in younger leaves than in older ones, providing earlier evidence of deficiency for diagnostic purposes. Although the plants were capable of accumulating nitrate, phosphate and potassium well in excess of that needed for optimum dry matter production during periods of adequate supply, the rate of mobilization of these reserves was insufficient to prevent reductions in growth rate as the plants became deficient. This brings into question the validity of the conventional concept that luxury consumption provides a store of nutrients which are freely available for use in times of shortage. The implications of these results for the use of plant analysis for assessing plant nutrient status are discussed.     

Nitrogen fixation byAlnus viridis (Chaix) DC.

Summary InAlnus viridis nodule growth relative to plant growth was inversely related to the quantity of nitrate added to nutrient solutions. Nodulated plants showed maximum growth when grown independently of supplied nitrogen and made better growth in its absence than unnodulated plants at any level of added nitrogen. Low levels of nitrate caused a depression of growth of nodulated plants, apparently by suppressing both nitrogen fixation and nodule growth. Nodules in nitrogen-free sand culture fixed atmospheric nitrogen at a rate of 6.6 mg/day/g nodule. Phosphorus deficiency was induced by low levels of phosphate and resulted in small plants with dark-green foliage. Root and nodule growth as a percentage of total plant growth and the percentage of total accumulated plant nitrogen below ground were greater at a root temperature of 11°C than 21°C. Thus at low root temperature processes other than nitrogen fixation were limiting to plant growth. Excised nodules were exposed to an N ₂ ¹⁵ -enriched atmosphere. A positive correlation between rate of nitrogen fixation and temperature was obtained, with optimum fixation occurring at about 20°C. It was shown that in spite of decreasing mean temperatures with increase in altitude, rate of nitrogen fixation by nodules of plants growing in the field increased with increase in altitude. This latter trend was deduced to be a reflection of the extent to which the field sites were nitrogen deficient in relation to climatically possible growth.     

An analysis of the growth response of carrot seedlings to deficiency in some mineral nutrients

Critical plant concentrations for a reduction in relative growth rate to 90% of that of fully nourished plants were estimated by a novel method for several mineral nutrients. Carrot plants were grown from seed for 28 days in a range of nutrient solutions omitting N, P, K, Ca, S, Mg, Fe, B, Mn, Zn, Cu and Mo as separate treatments. All treatments except -Mn, -Zn, -Cu and -Mo resulted in effects on plant growth and the development of deficiency symptoms. Estimates of critical concentrations were based on a simple simulation model incorporating the principle of nutrient dilution with increasing plant weight and on mineral analysis of the plants. Parameters governing the shape of the relationship between fractional relative growth rate and plant nutrient concentration were altered until the model predicted the observed final mean dry weight of deficient plants and time of divergence of this growth curve from that of fully nourished plants. Critical concentrations so obtained were higher than those previously reported for Ca, Fe, N and P in carrots and lower for K, Mg and S.     

The Role of Plant Size and Nutrient Concentrations in Associations between Medicago, and Rhizobium and/or Glomus

The aim of this research was to carry out a critical study of the method of obtaining size equivalence between non-symbiotic alfalfa and alfalfa associated with Glomus and/or Rhizobium by applying fixed addition rates of nutrients to the non-symbiotic controls. The experimental design included three nutrient response curves in which the levels of added phosphorus and/or nitrogen were constant during the whole plant growth process: 1) a phosphorus response curve, in order to compare the growth of double symbiotic plants with that of only-Rhizobium inoculated ones; 2) a nitrogen response curve, that consisted of a comparison between the growth of double symbiotic alfalfa and four treatments associated only with Glomus; 3) a phosphorus and nitrogen response curve, to compare the growth of non-inoculated alfalfa with that of double symbiotic plants. Although similar size was achieved among some treatments at harvest, shoot growth over time and nutrient concentrations in tissues differed, indicating that growth equivalence did not mean functional equivalence. A second experimental design was performed taking into account the establishment of microsymbionts for determining the adequate moment to add supplemental phosphorus and/or nitrogen. It included four treatments: a) double symbiotic plants (MR); b) plants inoculated with Rhizobium only (R); c) plants inoculated with Glomus only (M), and d) non-inoculated plants (N). Great similarity in terms of plant growth and nutrient contents in tissues were obtained. Moreover, symbiotic plants were able to produce similar dry matter than non-symbiotic ones under P and N limitations.     

Nutrition and growth of birch and grey alder seedlings in low conductivity solutions and at varied relative rates of nutrient addition

Birch (Betula verrucosa Ehrh.) and grey alder (Alnus incana Moench) seedlings were grown with varied relative addition rates of all nutrients, up to optimum for vegetative growth. The root medium was basically distilled water to which the nutrients, contained in stock solutions in fixed proportions, were added every second hour and in exponentially increased amounts for consumption during the subsequent period. The nutrient weight proportions previously found to be required in birch (100 N:65 K:13 P) were used in all treatments. However, the nutrient proportions required in grey alder were found to be somewhat different (100 N:50 K:18 P). The use of the required proportions in the additions was important for maintenance of maximum growth, efficient nutrient utilization, and low concentrations in the root medium. Luxury consumption and inefficiency occurred at high concentrations. The results show that the nutrient requirements are sufficiently defined, for different relative growth rates, by the nutrient proportions and the relative addition rate. No clear relationships were found between conductivity or concentration in the root medium and the addition rate, net uptake rate, nutrient status, or relative growth rate. The results are in good agreement with data from low concentration and depletion experiments reported in the literature, showing that non-limited uptake rates occur down to very low concentrations. Thus, there is strong evidence that concentration has been incorrectly used when applied as the treatment variable for plant nutrition in plant science and cultivation practice. The dominant factors in sub-optimum and optimum nutrition are the amounts of nutrients available per unit of time, the growth rate, and the nutrient proportions. At low concentration levels, physical factors such as stirring and flow rate of nutrient solution and boundary layer effects are decisive for the rates with which the nutrients become available to the roots. Therefore, at low levels, concentration alone cannot be used as the factor determining nutrient uptake rate. At high levels, concentration is effective as a supra-optimum factor and increased internal percentage contents cause decreased uptake efficiency, thus counter-acting the concentration effect. Nitrogen effects dominated the stress indications when the internal nitrogen percentage content decreased from optimum to the level of the treatments in the beginning of the experiments. Leaf deficiency symptoms disappeared and the root/shoot ratio change ceased when nitrogen status stabilized. Strong linear regressions were found between any two of the variables: relative addition rate of nutrients, relative growth rate, and nutrient status.     

Nutrient uptake and allocation at steady-state nutrition

Ingestad, T. and Ågren, G. I. 1988. Nutrient uptake and allocation at steady-state nutrition. - Physiol. Plant. 72: 450–459. Net nutrient uptake and translocation rates are discussed for conditions of steady-state nutrition and growth. Under these conditions, the relative uptake rate is equal to the relative growth rate, for whole plants as well as for plant parts, since the root/shoot ratio and internal concentrations remain stable. The nutrient productivity and the minimum internal concentration are parameters characteristic for the plant and the nutrient. A conceptual, mathematical model, based on these two fundamental parameters is used for calculation and prediction of the net nutrient uptake rate, which is required to maintain steady-state nutrition at a specified internal nutrient concentration or relative growth rate. When uptake rate is expressed on the basis of the root growth rate, there is, up to optimum, a strong linear relationship between uptake rate and the internal concentration of the limiting nutrient. More complicated and less consistent relationships are obtained when uptake rate is related to root biomass. The limiting factor for suboptimum uptake is the amount of nutrients becoming available at the root surface. When replenishment is efficient, e.g. with vigorous stirring, the concentration requirement at the root surface appears to be extremely low, even at optimum. In the suboptimum range of nutrition, the effect of nutrient status on root growth rate is a critical factor with a strong feed-back on nutrition, growth and allocation. At supraoptimum conditions, the uptake mechanism is interpreted as a protection against too high uptake rates and internal concentrations at high external concentration. In birch (Betula pendula Roth.), the allocation of nitrogen to the shoots is high compared to that of potassium and also to that of phosphorus at low nitrogen or phosphorus status. With decreasing stress, phosphorus allocation becomes more and more similar to nitrogen allocation. The formulation of a mathematical model for calculation of allocation of biomass and nutrients requires more exact information on the quantitative dependence of the growth-regulating processes on nutrition.     

Growth and physiology of aspen supplied with different fertilizer addition rates

Variable internal plant nutrient content may confound plant response to environmental stress. Plant nutrient content may be controlled with relative addition rate techniques in solution culture. However, because raising large numbers of plants in flowing solution culture is difficult, we investigated the feasibility of raising plants in soil mix using relative fertilizer additions. Aspen (Populus tremuloides Michx.) clones (216, 259 and 271) planted in pots containing a peat, sand and vermiculite (2:1:1, v/v/v) soil mix were grown with exponentially increasing fertilizer concentrations and harvested periodically to assess growth. Addition rate treatments ranged from 0.01 to 0.05 day^?1. The lag phase of growth, in which plants adjusted to the fertilizer regime, lasted 40 days after which plants entered the experimental period characterized by constant relative growth rates equivalent to applied fertilizer addition rates. Total plant nutrient concentration was (1) unique for each addition rate, (2) linearly related to addition rate and growth rate, and (3) tended to increase at the highest, and decrease at the lowest addition rates. Regardless, the plants appeared to have attained steady-state conditions. Allocation of carbon to roots increased with lower addition rate treatments and was not dependent upon ontogeny. There were no treatment differences in growth response among aspen clones. Yet there were treatment differences in leaf chlorophyll and photosynthesis within the clones. For the 0.05 day^?1 addition rate treatment, chlorophyll, leaf N concentration and photosynthetic rate were strongly correlated with one another, were at a maximum in recently mature leaves, and rapidly declined with leaf age. The rate of decline in these leaf characteristics was slowest in clone 271, consistent with the leaf longevity stress response reported elsewhere. Plant responses from these relative fertilizer addition trials in soil mix agree closely with those run in hydroponics, indicating that steady-state nutrition can be achieved with a technically simple experimental assemblage.     

Dependence of starch storage on nutrient availability and photon flux density in small birch Betula pendula Roth)

Abstract Small birch plants (Betula pendula Roth) were grown in a climate chamber at different levels of nutrient availability and at two photon flux densities. The extent to which starch storage was dependent upon nutrient availability and photon flux density was investigated. Acclimated values of starch concentration in leaves were highest at low nutrient availability and high photon flux density. Starch storage in roots was only found at the lowest nutrient availability. However, the relative rate of starch storage (starch stored per unit plant dry weight and time) was higher in plants with good nutrition. The data suggest that, at sub-optimal nutrient availability, the momentary rate of net shoot photosynthesis is unlikely to limit the structural (as opposed to carbon storage) growth of the plant. Although photosynthetic rate per unit leaf area (as measured at the growth climate) was slightly lower in plants with poor nutrient availability, photosynthetic rate per unit leaf nitrogen was higher. These data suggest a priority of leaf nitrogen usage in photosynthesis, with limiting amounts of leaf nitrogen (and possibly other nutrients) for subsequent growth processes. This argument is consistent with the higher concentrations of starch found in plants with poor nutrient availability.     

Influence of plant genotype and environment on oviposition preference and offspring survival in a gallmaking herbivore

Summary Plant resistance to insect herbivores may derive from traits influencing herbivore preference, traits influencing the suitability of the plant as a host, or both. However, the plant traits influencing host-plant selection by ovipositing insect herbivores may not completely overlap those traits that affect larval survival, and distinct traits may exhibit different levels of genetic vs. environmental control. Therefore, resource supply to the host plant could affect oviposition preference and larval performance differently in different plant genotypes. To test this hypothesis, the effects of resistance level, plant genotype, and resource supply to the host plant on oviposition preference and larval performance of a gallmaking herbivore, and on various plant traits that could influence these, were examined. Replicates of four genotypes of Solidago altissima, grown under low, medium, or high levels of nutrient supply in full sun or with medium levels of nutrients in shade, were exposed to mass-released Eurosta solidaginis. The number of plants ovipunctured was significantly affected by plant genotype and the interaction between genotype and nutrient supply to the host plant: one susceptible and one resistant genotype were more preferred, and preference tended to increase with nutrient supply in the more-preferred genotypes. The growth rate of ovipunctured plants during the oviposition period was significantly greater than that of unpunctured plants. Bud diameter (which was strongly correlated with plant growth rate), leaf area, and leaf water content were significant determinants of the percentage of plants ovipunctured, explaining 74% of the variance. The number of surviving larvae was significantly affected by plant genotype, but no effect of nutrient or light supply to the host plant was detected. The ratio of bud diameter to bud length was positively related to the percentage of ovipunctured plants that formed galls, suggesting that the accurate placement of eggs near the apical meristem by ovipositing females may be easier in short, thick buds. No significant correlation was observed between oviposition preference and larval survival at the population level. These results suggest that the plant traits affecting oviposition preference may exhibit different magnitudes of phenotypic plasticity than those affecting larval survival, and that the degree of phenotypic plasticity in plant traits affecting oviposition preference may differ among genotypes within a species.     

The modelled growth of mycorrhizal and non-mycorrhizal plants under constant versus variable soil nutrient concentration

We studied the response of mycorrhizal and non-mycorrhizal plants to variation in soil nutrient concentration. A model for the relative growth rate (RGR) of plant biomass was constructed with soil nutrients as an explanatory variable. A literature survey was carried out to find the relative magnitudes of parameter values for mycorrhizal and non-mycorrhizal plants. Mycorrhizal plants had higher RGR at low nutrient concentrations and non-mycorrhizal plants at high nutrient concentrations. The RGR of mycorrhizal and non-mycorrhizal plants at constant versus log-normally distributed soil nutrient concentration were compared to see the effect of mycorrhizal status on responses to variation. Variation in nutrient concentration generally reduced RGR, especially in mycorrhizal plants. The RGR of a non-mycorrhizal plant may increase with variation where a growth function threshold exists, i.e. a soil nutrient concentration that must be exceeded to allow growth. Mycorrhizal plants appeared more sensitive to variation in nutrient concentration than non-mycorrhizal plants due to the higher affinity of mycorrhizal roots at low nutrient levels. However, this prediction may be reversed if mycorrhizal symbiosis considerably stabilises flow of nutrients to plant physiological processes, such that mycorrhizal plants experience less variation in soil nutrient concentration than non-mycorrhizal plants. Our results also attain broader significance by suggesting a general trade-off between competitive ability in a constant versus variable resource availability.     

Potassium and phosphate uptake of cucumber plants at different ammonia supply

Summary Experiments on cucumber plants grown in nutrient solution were conducted in order to study long and short time effects of ammonia on growth, nutrient element uptake and respiration of roots.Shoot yield and potassium concentration in tissue of plants treated 18 days with varied ammonia concentration were decreased. However, it was not assumed that K deficiency caused the yield reduction. The ammonia effect on K content was more pronounced in roots than in shoots.The decreased K concentration of plant tissue was linked to a diminished ability of plant roots to absorb potassium. The maximum rate of potassium uptake was lowered by ammonia during both, long- and short-time treatment. The results indicated that the NH₃ influence on potassium uptake was due to effects on metabolism and permeability of roots because changes of K uptake rate occurred immediately after starting the NH₃ treatment. Furthermore, it is shown that ammonia inhibited respiration of roots.During the short-time treatment net potassium efflux of roots was observed at higher NH₃ concentrations. The extent of K efflux depended on K concentration of both, root tissue and nutrient solution.Pretreating the plants for 12 hours with ammonia also resulted a decline in K uptake rate. However, plant roots subjected to ammonia concentrations up to 0.09 mM completely recovered during 24 hours after removing the NH₃ treatment whereas at higher NH₃ concentrations only a partial recovery occurred.Furthermore, it was shown that ammonia also influenced P uptake by plant roots.     

Control of relative growth rate by application of the relative addition rate technique to a traditional solution culture system

The relative addition rate (RAR) technique allows the nutritional control of plant relative growth rate (RGR) by the provision of nutrients at exponential supply rates. The technique, however, was developed with technologically sophisticated aeroponic systems. In this paper, we report on experiments used to adapt the RAR technique to a conventional solution culture system. A background concentration requirement of 36 μM nitrogen (N), with other nutrients supplied in proportion to N, was necessary to produce a constant RGR of Triticum aestivum L. (wheat) at a low RAR. Solution pH changes were reduced by increasing the percentage of NH₄ in the nitrogen supply, but the plants exhibited dry weight reductions and symptoms of toxicity above 30% NH₄. For wheat, a ratio of 25/75 NH₄/NO₃ was optimum for minimizing pH changes within the nontoxic range. A test of the effectiveness of the RAR technique using this background concentration and NH₄/NO₃ ratio showed that RGR increased with RAR with a linear slope of 0.55 and an intercept of 0.07 d^-1. Although the relationship between growth rate and nutrient supply was less than the one-to-one dependence of RGR on RAR that has been obtained with more sophisticated apparatus, application of the RAR technique to a conventional solution culture system still affords considerable control of RGR and presents a simple method for growing plants at different levels of nutrient stress and at distinct RGRs.     

Symptoms of mineral nutrient deficiencies and the nutrient concentration ranges in seedlings of Eucalyptus maculata Hook.

With the establishment of plantation eucalypts around the world there is an increasing need for reference data which can be used to diagnose the nutrient status of eucalypt seedlings. Therefore, deletion glasshouse nutrient trials were set up in sand and solution culture to obtain deficiencies of N, P, K, Mg, Ca, S, Fe, Zn, Cu and Mn in the spotted iron gum (Eucalyptus maculata). Nutrient concentration ranges were obtained for leaves at defined growth stages for (a) healthy plants, (b) plants where yield was just depressed or where symptoms first appeared, and (c) plants with severe symptoms. The defined symptoms and nutrient concentration ranges should be useful in identifying single nutrient deficiencies in nursury grown seedlings or young plants with juvenile foliage in the field.     

Disruption of Elements Uptake due to Excess Chromium in Indian Medicinal Plants

Chromium and its compounds may cause disturbance in the nutrient level of the plants. Iron, manganese, copper, and zinc are essential nutrient elements and required for balanced growth and development of plants, but chromium uptake sometimes disturbed their concentration in plants. Therefore, in the present paper, an effort has been made to observe the effect of different levels of Cr on nutrient uptake of Phyllanthus amarus and Solanum nigrum, the medicinally important plants of indigenous systems of medicine having hepatoprotective and diuretic properties. The study revealed that Cr causes significant changes in nutrient uptake as compared to control plants. Besides, Cr-treated plants showed growth depression and decrease in fresh and dry weight too. With the increase in Cr supply, accumulation of Cr in roots was increased significantly. Concentration of manganese and zinc was also increased. However, copper concentration in both the plants seemed less affected by Cr.     

Effects of CO2 enrichment,nutrient addition,and fungal endophyte-infection on the growth of two grasses

Summary Increasing atmospheric carbon dioxide (CO₂) concentration is expected to increase plant productivity and alter plant/plant interactions, but little is known about its effects on symbiotic interactions with microorganisms. Interactions between perennial ryegrass, Lolium perenne (a C3 plant), and purpletop grass, Tridens flavus (a C4 plant), and their clavicipitaceous fungal endophytes (Acremonium lolii and Balansia epichloe, respectively) were investigated by growing the grasses under 350 and 650 l l^– 1 CO₂ at two nutrient levels. Infected and uninfected perennial ryegrass responded with increased growth to both CO₂ enrichment and nutrient addition. Biomass and leaf area of infected and uninfected plants responded similarly to CO₂ enrichment. When growth analysis parameters were calculated, there were significant increases in relative growth rate and net assimilation rate of infected plants compared to uninfected plants, although the differences remained constant across CO₂ and nutrient treatments. Growth of purpletop grass did not increase with CO₂ enrichment or nutrient addition and there were no significant differences between infected and uninfected plants. CO₂ enrichment did not alter the interactions between these two host grasses and their endophytic-fungal symbionts.     

A Method for Characterizing the Relation between Nutrient Concentration and Flux into Roots of Intact Plants

A method based on the rate of depletion of a nutrient from solution was developed to characterize nutrient flux of plant roots. Nutrient concentration of the solution was measured at a series of time intervals to describe the complete depletion curve. An integrated rate equation, based on a Michaelis-Menten model, was developed and fit to the data of the depletion curve using a least-square procedure. The equation contained values for V_max, the maximum rate of influx; Km, the Michaelis constant; and E, efflux, which were used to describe the relation between solution concentration and net influx rate. Models other than Michaelis-Menten could also be used. The method uses only one plant or group of plants to obtain data over a range of nutrient concentrations, is adapted particularly to the low concentration range, and measures the concentration below which net influx ceases. With this method the plant is in steady state absorption prior to the experiment and continues at this steady state until near the end of the experiment.     

Kinetics of nitrogen mineralization in Costa Rican soils: Model evaluation and pretreatment effects

Present methods for determining critical nutrient concentrations in plants and soils are unsatisfactory if concentrations change with time while the crop is growing. In such cases the critical concentration can only be applied in relation to growth rate at any given moment. For interpreting field experiments this introduces considerable difficulties: two possible approaches to these problems are suggested, one of which uses a simple simulation model. Results from a Brussels sprout nitrogen experiment are used to show how, using this approach, a single critical sap nitrate concentration (380 mg NO₃ N.l^–1 for 95% of potential growth rate) may serve to explain the results at all growth stages in three seasons.     

Determination of critical K concentrations in sap from individual leaves or from whole plants using K-interruption experiments

Summary A new method is described for estimating critical K concentrations from K interruption experiments using only 2 treatments. Frequent measurements are made of the growth and K concentration of plants subjected to either continued or interrupted K supply and the data used to define the relation between relative yield and K concentration for the K-deficient plants. Critical concentrations are estimated from the results using a mathematical model of plant growth to interpolate over the critical concentration region of the curve. The method has the advantage that the critical concentrations are determined at the exact time that growth is affected. The method was tested using data from previously published experiments with lettuce in which the concentrations of K were measured in sap from both the total shoot and from individual leaf petioles. The model accurately predicted the form of the relationship between relative yield and K concentration for the total shoot and for young expanding leaves, but consistently deviated from the data for recently matured ones. Average estimates of critical concentration ranged fromca. 18 to 34 mmoll⁻¹ in the young leaves and from 48 to 67 mmoll⁻¹ in the mature ones when Na salts were present or absent respectively. The values for total shoot sap were similar to those for mature leaves. The critical concentrations for young expanding leaves were virtually identical to the minimum believed to be needed for the maintenance of important biochemical processes in individual cells, and suggests that a single critical K concentration for plant sap might apply to a wide range of crops provided an actively growing part of the plant is sampled.     

Yield- and photosynthesis-derived critical concentrations of tissue phosphorus and their significance for growth of Eurasian water milfoil,Myriophyllum spicatum L.

A theoretical analysis of critical phosphorus levels in the tissue of Eurasian water milfoil, Myriophyllum spicatum L., predicts that growth-rate- and photosynthetic-derived critical levels should be equal but that these levels should exceed the critical value from typical laboratory yield experiments by a factor of 1.6. This factor is not very sensitive to changes in the assumed relationship between growth rate and tissue nutrient concentration and thus may apply to many plant species. However, the theoretical result contrasts with the greater than fourfold difference found previously between yield and photosynthetic critical levels for milfoil. Using plants harvested early, in order to minimize the effects of culture age on growth rate, we measured a critical level of 0.25 – 0.27% P at 95% of the phosphorus-saturated yield. This value differs from the critical concentration for photosynthesis by approximately the theoretical ratio of 1.6:1, but is more than three times larger than the previously reported critical concentration for yield. Culture-aging effects would result in lower assessments of yield critical levels, and probably caused those data reported previously to be unrealistically low. Adoption of the higher yield value that we report would eliminate the dilemma posed by tissue levels that occur between the previously reported yield and photosynthetic concentrations, and it would alter the conclusions of many previous studies regarding factors limiting to milfoil growth.