Effects of spatial autocorrelation,natal philopatry and phenotypic plasticity on the heritability of laying date

We investigated the effect of spatial autocorrelation on heritability (h²) estimates of laying date and clutch size in a population of great tits Parus major. We found that h² of laying date, but not clutch size, declined significantly with increasing distance between the nestbox of mothers and daughters. This decline was caused by a decreasing effect of spatial autocorrelation in laying date, rather than by the existence of genotype–environment interactions (GEI). After correcting for the effect of spatial autocorrelation, h² of laying date was low (0.16 ± 0.07), but significant, and surprisingly consistent with increasing distance between parental and offspring environments. The h² of clutch size was not much affected by spatial autocorrelation. Most previously published estimates of the heritability of laying date include various degrees of common environment effects, which can bias estimates both upwards and downwards. We suggest that using techniques that take spatial autocorrelation into account might be a fruitful approach to estimate h² of traits that show a high degree of plasticity.     

Enhancing crop legume N2 fixation through selection and breeding

Legume N₂ fixation is variable, but nonetheless is a valuable process in world agriculture. There is great potential to increase the contribution by the crop legumes to the world's supply of soil.N. This will be achieved by (i) increasing the area of legumes sown by farmers; (ii) improved management of the crops in order that the major determinants of productivity, e.g. land area, water availability, are converted to harvested product with maximum efficiency; and (iii) genetic modification of the commonly-grown species to ensure high dependence of the legume crop on N₂ fixation at all levels of productivity. Currently-used methods for measuring N₂ fixation and for assessing heritability and repeatability of N₂ fixation in breeding and selection programs are reviewed. Results from research programs to define genetic variation in N₂ fixation and to enhance N₂ fixation through selection and breeding are presented with particular emphasis on common bean (Phaseolus vulgaris) and soybean (Glycine max).     

Quantitative genetic analysis of responses to larval food limitation in a polyphenic butterfly indicates environment‐ and trait‐specific effects

Different components of heritability, including genetic variance (V_G), are influenced by environmental conditions. Here, we assessed phenotypic responses of life‐history traits to two different developmental conditions, temperature and food limitation. The former represents an environment that defines seasonal polyphenism in our study organism, the tropical butterfly Bicyclus anynana, whereas the latter represents a more unpredictable environment. We quantified heritabilities using restricted maximum likelihood (REML) procedures within an “Information Theoretical” framework in a full‐sib design. Whereas development time, pupal mass, and resting metabolic rate showed no genotype‐by‐environment interaction for genetic variation, for thorax ratio and fat percentage the heritability increased under the cool temperature, dry season environment. Additionally, for fat percentage heritability estimates increased under food limitation. Hence, the traits most intimately related to polyphenism in B. anynana show the most environmental‐specific heritabilities as well as some indication of cross‐environmental genetic correlations. This may reflect a footprint of natural selection and our future research is aimed to uncover the genes and processes involved in this through studying season and condition‐dependent gene expression.     

Environmental and genetic influences on body mass and resting metabolic rates (RMR) in a natural population of weasel Mustela nivalis

Body mass (BM) and resting metabolic rates (RMR) are two inexorably linked traits strongly related to mammalian life histories. Yet, there have been no studies attempting to estimate heritable variation and covariation of BM and RMR in natural populations. We used a marker‐based approach to construct a pedigree and then the ‘animal model’ to estimate narrow sense heritability (h²) of these traits in a free‐living population of weasels Mustela nivalis—a small carnivore characterised by a wide range of BM and extremely high RMR. The most important factors affecting BM of weasels were sex and habitat type, whereas RMR was significantly affected only by seasonal variation of this trait. All environmental factors had only small effect on estimates of additive genetic variance of both BM and RMR. The amount of additive genetic variance associated with BM and estimates of heritability were high and significant in males (h² = 0.61), but low and not significant in females (h² = 0.32), probably due to small sample size for the latter sex. The results from the two‐trait model revealed significant phenotypic (r_P = 0.62) and genetic correlation (r_A = 0.89) between BM and whole body RMR. The estimate of heritability of whole body RMR (0.54) and BM corrected RMR (0.45) were lower than estimates of heritability for BM. Both phenotypic and genetic correlations between BM corrected RMR and BM had negative signals (r_P = ?0.42 and r_A = ?0.58). Our results indicate that total energy expenditures of individuals can quickly evolve through concerted changes in BM and RMR.     

Seasonal N2 fixation by cool-season pulses based on several15N methods

Summary Accurate estimates of N₂ fixation by legumes are requisite to determine their net contribution of fixed N₂ to the soil N pool. However, estimates of N₂ fixation derived with the traditional¹⁵N methods of isotope dilution and A_N value are costly.Field experiments utilizing¹⁵N-enriched (NH₄)₂SO₄ were conducted to evaluate a modified difference method for determining N₂ fixation by fababean, lentil, Alaska pea, Austrian winter pea, blue lupin and chickpea, and to quantify their net contribution of fixed N₂ to the soil N pool. Spring wheat and non-nodulated chickpea, each fertilized with two N rates, were utilized as non-fixing controls.Estimates of N₂ fixation based on the two control crops were similar. Increasing the N rate to the controls reduced A_N values 32, 18 and 43% respectively in 1981, 1982 and 1983 resulting in greater N₂ fixation estimates. Mean seasonal N₂ fixation by fababean, lentil and Austrian winter pea was near 80 kg N ha^–1, pea and blue lupin near 60 kg N ha^–1, and chickpea less than 10 kg N ha^–1. The net effects of the legume crops on the soil N pool ranged from a 70 kg N ha^–1 input by lentil in 1982, to a removal of 48 kg N ha^–1 by chickpea in 1983.Estimates of N₂ fixation obtained by the proposed modified difference method approximate those derived by the isotope dilution technique, are determined with less cost, and are more reliable than the total plant N procedure.Scientific paper No. 6605. College of Agriculture and Home Economics Research Center, Washington State University, Pullman, WA 99164, U.S.A.     

Measurements of N2 fixation by common bean in Central Brazil as affected by different reference crops

An experiment was conducted at EMBRAPA/CNPAF, Goiânia, Goias, Brazil, on a typic haplustox soil to evaluate growth and N₂ fixation-related parameters of Phaseolus vulgaris L. Bean lines, which had been selected for N₂ fixation at CNPAF, including production cultivars, germplasm bank entries, and parents and progenies of a cross made to improve this characteristic. Wheat (Triticum aestivum L.) and dwarf sorghum (Sorghum bicolor (L.) Moench) were evaluated as non-N₂-fixing reference crops for difference method (DM) and ¹⁵N isotope dilution technique (IDT) estimates of N₂ fixation. IDT estimates ranges from 4 to 18 kg N₂ fixed ha^-1. High variability associated with low levels of N₂ fixation precluded definitive identification of the best N₂ fixing bean lines. Due to differences in growth cycle and in patterns and amounts of soil N uptake during the season, neither of the reference crops tested appears to be an adequate control for either DM or IDT estimates of N₂ fixation. However, ranking of lines for effectiveness in N₂ fixation could be performed without the use of any reference crops.     

棉蚜对吡虫啉的抗性选育和现实遗传力分析

【目的】为了评估棉蚜Aphis gossypii Glover对吡虫啉的抗性风险,在室内进行了棉蚜对吡虫啉(imidacloprid)的抗性选育和抗性现实遗传力分析。【方法】采用单头反选育法和群体汰选法,分别得到了棉蚜对吡虫啉敏感品系(LC₅₀为0.176 mg/L)和抗性品系(LC₅₀为14.657 mg/L)。采用阈性状分析方法,获得棉蚜对吡虫啉的抗性现实遗传力（h²）。【结果】相对于田间原始种群(LC₅₀为0.346 mg/L),吡虫啉敏感棉蚜品系对吡虫啉的LC50减少了2倍;获得的吡虫啉抗性棉蚜品系,经过40代的选育,得到抗性倍数为室内敏感品系的83.27倍的抗性品系。棉蚜对吡虫啉的抗性现实遗传力(h2)为0.1478。进一步预测其抗性发展速度,基于80%~90%的选择压力,预计抗性增长100倍时,吡虫啉可使用30.2~38.1代。【结论】这些研究说明棉蚜对吡虫啉存在抗性风险。     

Heritability of sperm length in the bumblebee Bombus terrestris

Sperm length is highly variable, both between and within species, but the evolutionary significance of this variation is poorly understood. Sexual selection on sperm length requires a significant additive genetic variance, but few studies have actually measured this. Here we present the first estimates of narrow sense heritability of sperm length in a social insect, the bumblebee Bombus terrestris. In spite of a balanced and straightforward rearing design of colonies, and the possibility to replicate measurements of sperm within single males nested within colonies, the analysis proved to be complex. Several appropriate statistical models were derived, each depending on different assumptions. The heritability estimates obtained ranged from h ² = 0.197 ± 0.091 to h ² = 0.429 ± 0.154. All our estimates were substantially lower than previous estimates of sperm length heritability in non-social insects and vertebrates.     

The beta-binomial model for estimating heritabilities of binary traits

Calculations of individual narrow-sense heritability and family mean heritability of a binary trait in stochastically simulated sib trials in completely randomized block experiments showed that in some situations estimates of realized heritabilities obtained from the mixed linear threshold model could be improved by application of a proposed beta-binomial model. The proposed model adopts the beta-binomial as the conjugate-prior for the distribution of probabilities of observing the binary trait in a genetic entry. Estimation of the beta parameters allows an estimation of selection response and, by linkage to a threshold model for the individual observations, the desired heritabilities can be obtained. The average bias in the betabinomial estimates of heritability and family mean heritability was less than 2%. Improvements over existing procedures were especially manifest at heritabilities above 0.3 and at low overall probabilities of observing the trait (p < 0.30). The lowest root mean square errors were consistently obtained with the algorithm proposed by Harville and Mee (1984). The beta-binomial framework, although restricted to a single random additive genetic effect, further facilitates general analysis, estimation of selection response, and calculation of reliable family mean heritability. Intraclass correlations can be estimated directly from the beta-binomial parameters.     

Heritability of anti‐predatory traits: vigilance and locomotor performance in marmots

Animals must allocate some proportion of their time to detecting predators. In birds and mammals, such anti‐predator vigilance has been well studied, and we know that it may be influenced by a variety of intrinsic and extrinsic factors. Despite hundreds of studies focusing on vigilance and suggestions that there are individual differences in vigilance, there have been no prior studies examining its heritability in the field. Here, we present one of the first reports of (additive) genetic variation in vigilance. Using a restricted maximum likelihood procedure, we found that, in yellow‐bellied marmots (Marmota flaviventris), the heritability of locomotor ability (h² = 0.21), and especially vigilance (h² = 0.08), is low. These modest heritability estimates suggest great environmental variation or a history of directional selection eliminating genetic variation in these traits. We also found a significant phenotypic (r_P = ?0.09 ± 0.04, P = 0.024) and a substantial, but not significant, genetic correlation (r_A = ?0.57 ± 0.28, P = 0.082) between the two traits (slower animals are less vigilant while foraging). We found no evidence of differential survival or longevity associated with particular phenotypes of either trait. The genetic correlation may persist because of environmental heterogeneity and genotype‐by‐environment interactions maintaining the correlation, or because there are two ways to solve the problem of foraging in exposed areas: be very vigilant and rely on early detection coupled with speed to escape, or reduce vigilance to minimize time spent in an exposed location. Both strategies seem to be equally successful, and this ‘locomotor ability‐wariness’ syndrome may therefore allow slow animals to compensate behaviourally for their impaired locomotor ability.     

Dinitrogen fixation in the world's oceans

The surface water of themarine environment has traditionally beenviewed as a nitrogen (N) limited habitat, andthis has guided the development of conceptualbiogeochemical models focusing largely on thereservoir of nitrate as the critical source ofN to sustain primary productivity. However,selected groups of Bacteria, includingcyanobacteria, and Archaea canutilize dinitrogen (N₂) as an alternativeN source. In the marine environment, thesemicroorganisms can have profound effects on netcommunity production processes and can impactthe coupling of C-N-P cycles as well as the netoceanic sequestration of atmospheric carbondioxide. As one component of an integrated Nitrogen Transport and Transformations project, we have begun to re-assess ourunderstanding of (1) the biotic sources andrates of N₂ fixation in the world'soceans, (2) the major controls on rates ofoceanic N₂ fixation, (3) the significanceof this N₂ fixation for the global carboncycle and (4) the role of human activities inthe alteration of oceanic N₂ fixation. Preliminary results indicate that rates ofN₂ fixation, especially in subtropical andtropical open ocean habitats, have a major rolein the global marine N budget. Iron (Fe)bioavailability appears to be an importantcontrol and is, therefore, critical inextrapolation to global rates of N₂fixation. Anthropogenic perturbations mayalter N₂ fixation in coastal environmentsthrough habitat destruction and eutrophication,and open ocean N₂ fixation may be enhancedby warming and increased stratification of theupper water column. Global anthropogenic andclimatic changes may also affect N₂fixation rates, for example by altering dustinputs (i.e. Fe) or by expansion ofsubtropical boundaries. Some recent estimatesof global ocean N₂ fixation are in therange of 100–200 Tg N (1–2 × 10¹⁴ g N)yr^–1, but have large uncertainties. Theseestimates are nearly an order of magnitudegreater than historical, pre-1980 estimates,but approach modern estimates of oceanicdenitrification.     

Effects of data imbalance on estimation of heritability

Summary Effects of data imbalance on bias, sampling variance and mean square error of heritability estimated with variance components were examined using a random two-way nested classification. Four designs, ranging from zero imbalance (balanced data) to low, medium and high imbalance, were considered for each of four combinations of heritability (h²=0.2 and 0.4) and sample size (N=120 and 600). Observations were simulated for each design by drawing independent pseudo-random deviates from normal distributions with zero means, and variances determined by heritability. There were 100 replicates of each simulation; the same design matrix was used in all replications. Variance components were estimated by analysis of variance (Henderson's Method 1) and by maximum likelihood (ML). For the design and model used in this study, bias in heritability based on Method 1 and ML estimates of variance components was negligible. Effect of imbalance on variance of heritability was smaller for ML than for Method 1 estimation, and was smaller for heritability based on estimates of sire-plus-dam variance components than for heritability based on estimates of sire or dam variance components. Mean square error for heritability based on estimates of sire-plus-dam variance components appears to be less sensitive to data imbalance than heritability based on estimates of sire or dam variance components, especially when using Method 1 estimation. Estimation of heritability from sire-plus-dam components was insensitive to differences in data imbalance, especially for the larger sample size.Supported by grants from the Illinois Agricultural Experiment Station and the University of Illinois Research Board. Charles Smith, H. W. Norton and D. Gianola contributed valuable suggestions     

The contribution of associative and symbiotic nitrogen fixation to the nitrogen nutrition of non-legumes

During the past 10 years estimates of N₂ fixation associated with sugar cane, forage grasses, cereals and actinorhizal plants grown in soil with and without addition of inoculum have been obtained using the ¹⁵N isotope dilution technique. These experiments are reviewed in this paper with the aim of determining the proportional and absolute contribution of N₂ fixation to the N nutrition of non-legumes, and its role as a source of N in agriculture. The review also identifies deficiencies in both the totality of data which are currently available and the experimental approaches used to quantify N₂ fixation associated with non-legumes.Field data indicate that associative N₂ fixation can potentially contribute agronomically-significant amounts of N (>30–40 kg N ha^-1 y^-1) to the N nutrition of plants of importance in tropical agriculture, including sugar cane (Saccharum sp.) and forage grasses (Panicum maximum, Brachiaria sp. and Leptochloa fusca) when grown in uninoculated, N-deficient soils. Marked variations in proportions of plant N derived from the atmosphere have been measured between species or cultivars within species.Limited pot-culture data indicate that rice can benefit naturally from associative N₂ fixation, and that inoculation responses due to N₂ fixation can occur. Wheat can also respond to inoculation but responses do not appear to be due to associative N₂ fixation. ¹⁵N dilution studies confirm that substantial amounts of N₂ can be fixed by actinorhizal plants.     

Utilization of amino acids by Frankia sp. strain CpI1

The utilization of some amino acids, added at 1 mM and 10 mM concentrations, as the sole combined nitrogen sources by Frankia sp. strain CpI1, has been investigated. Glutamine, like NH ₄ ⁺ , provided rapid growth without N₂ fixation. Histidine at 1 mM yielded poor N₂-fixing activity but better cell growth than N₂. Aspartate, glutamate, alanine, proline, each at 1 mM concentration, supported similar levels of N₂ fixation and growth. Growth on 10 mM glutamate, proline, or histidine resulted in poor N₂-fixing activity and poor cell growth. Cells grown on 10 mM alanine had about half the N₂-fixing activity of cells grown on N₂ but growth was good. Aspartate at 10 mM concentration, however, stimulated N₂-fixing activity dramatically and promoted faster growth. Enzyme analysis suggested that asparate is catabolized by glutamate-oxaloacetate transaminase (GOT), since GOT specific activity was induced, and aspartase activity was not detected, in cells grown on aspartate as the sole combined nitrogen source. Thinlayer chromatography (TLC) of metabolites extracted from N₂-grown cells fed with [¹⁴C]-aspartate showed that label was rapidly accumulated mainly on aspartate and/or glutamate, depending on the cells' physiological state, without detectable labeling on fumarate or oxaloacetate (OAA). These findings provide evidence that aspartate is catabolized by GOT to OAA which, in turn, is rapidly converted to -ketoglutarate through the TCA cycle and then to glutamate by GOT or by glutamate synthase (GOGAT). The stimulation of N₂ fixation and growth by aspartate is probably caused by an increased intracellular glutamate pool.     

Regional application of PnET-N-DNDC for estimating the N2O source strength of tropical rainforests in the Wet Tropics of Australia

In contrast to the significant importance of tropical rainforest ecosystems as one of the major sources within the global atmospheric N₂O budget (2.2–3.7 Tg N yr^?1), regional estimates of their N₂O source strength are still limited and highly uncertain. To contribute toward more reliable estimates of the N₂O source strength of tropical rainforest ecosystems on a regional scale, we modified a process‐oriented biogeochemical model, PnET‐N‐DNDC, and parameterized it to simulate C and N turnover and associated N₂O emissions in and from tropical rainforest ecosystems. Model modifications included: (1) new parameterizations associated with plant physiology and soil hydrology and the addition of algorithms relating daily leaf litterfall to water stress as well as to daily rainfall to account for the effects of heavy rainfall damage; (2) the development of a denitrifier activity index that depends on soil moisture conditions and influences N turnover by denitrification; and (3) the addition of a biological N fixation algorithm. Daily simulated N₂O emissions based on site data were in good agreement (model efficiencies up to 0.83) with field observations in the Wet Tropics of Australia and Costa Rica. The model was even able to reproduce the highly dynamic pattern of N₂O emissions with short‐term increases during the wet season. Sensitivity analyses demonstrated that the PnET‐N‐DNDC model was sensitive to changes in soil properties such as pH, clay content, soil organic carbon and climatic factors such as rainfall and temperature. By linking the PnET‐N‐DNDC model to a geographic information systems database, tropical rainforests in a 9000 km² area of the Wet Tropics of Australia are estimated to emit 962 t N₂O‐N yr^?1 (2.4 kg N₂O‐N ha^?1 yr^?1) between July 1997 and June 1998.     

Contribution of diazotrophy to nitrogen inputs supporting Karenia brevis blooms in the Gulf of Mexico

Blooms of Karenia brevis plague the West Florida Shelf (WFS) region in the Gulf of Mexico (GOM) where they exert harmful effects on aquatic biota and humans. Because productivity on the WFS is N limited, new N inputs into the region are thought to trigger blooms of K. brevis. Here we examine the potential for new N inputs via N₂ fixation by Trichodesmium and other diazotrophic plankton to contribute to the N demand of K. brevis. Because of possible methodological biases, we also compared N₂ fixation rates by cultured Trichodesmium using the ¹⁵N₂ bubble addition method and the ¹⁵N₂ saturated seawater. Both methods yielded identical results in 12 and 24 h incubations; however, there was more variability in rate estimates made using the bubble addition method. Pelagic N₂ fixation rates by other planktonic diazotrophs ranged from 0 to 13.6 nmol N L⁻¹ d⁻¹, comparable to or higher than rates observed in oligotrophic gyres. These rates should be considered conservative estimates because they were made using the bubble addition method. Integrating over our study area, we estimate that new inputs of N to the WFS via N₂ fixation are on the order of 0.011 Tmol N annually. Further, we measured directly the trophic transfer of recently fixed N₂ to co-occurring plankton that included K. brevis and found that up to 47% of N₂ fixed was transferred to non-diazotrophic plankton even in short (<6 h) incubations where N₂ fixation was likely underestimated.     

Measuring and modelling carbon dioxide and water vapour exchange over a temperate broad-leaved forest during the 1995 summer drought

Forests in the south-eastern United States experienced a prolonged dry spell and above-normal temperatures during the 1995 growing season. During this episode, nearly continuous, eddy covariance measurements of carbon dioxide and water vapour fluxes were acquired over a temperate, hardwood forest. These data are used to examine how environmental factors and accumulating soil moisture deficits affected the diurnal pattern and magnitude of canopy-scale carbon dioxide and water vapour fluxes. The field data are also used to test an integrative leaf-to-canopy scaling model (CANOAK), which uses micrometeorological and physiological theory, to calculate mass and energy fluxes. When soil moisture was ample in the spring, peak rates of net ecosystem CO₂ exchange (N_F) occurred around midday and exceeded 20 μmol m^?2 s^?1. Rates of N_K were near optimal when air temperature ranged between 22 and 25°C. The accumulation of soil moisture deficits and a co-occurrence of high temperatures caused peak rates of daytime carbon dioxide uptake to occur earlier in the morning. High air temperatures and soil moisture deficits were also correlated with a dramatic reduction in the magnitude of N_E. On average, the magnitude of N_E decreased from 20 to 7 μmol m^?2 s^?1 as air temperature increased from 24 to 30°C and the soil dried. The CANAOK model yielded accurate estimates of canopy-scale carbon dioxide and water vapour fluxes when the forest had an ample supply of soil moisture. During the drought and heat spell, a cumulative drought index was needed to adjust the proportionality constant of the stomatal conductance model to yield accurate estimates of canopy CO₂ exchange. The adoption of the drought index also enabled the CANOAK model to give improved estimates of evaporation until midday. On the other hand, the scheme failed to yield accurate estimates of evaporation during the afternoon.     

Nitrogen fixation by subclover associations fertilized with sulfur

Summary The effect of S fertilization on symbiotic N₂ fixation was measured with the¹⁵N technique and the N difference method in a lysimeter study using Josephine loam (Typic Haploxurults). Nitrogen fixation by subclover (Trifolium subterraneum L.) was strongly enhanced by added S. The association of soft chess (Bromus mollis L.) or filaree (Erodium botrys (Cav.) Bertol.) with subclover increased the percentage of N in subclover that was fixed, with the results that N₂ fixation was increased beyond that due to the mere increase in subclover biomass. Nitrogen fixation estimates by¹⁵N dilution and N difference methods were highly correlated (r²=0.97), and S fertilizer did not result in any significant differences in N₂-fixation estimation by the two methods. Both methods were useful in distinguishing between soil N uptake and N₂ fixation where S applications produced highly significant increases in both uptake and fixation. Application of sulfur fertilizers to much annual rangeland has the potential to increase pasture productivity through enhanced N₂ fixation. Contribution of the University of California Hopland Field Station and Department of Agronomy and Range Science, Univ. of California, Davis, CA 95616.     

Growth,N2 fixation and photosynthesis in a cyanobacterium,Trichodesmium sp., under Fe stress

Trichodesmium sp., isolated from the Great Barrier Reef lagoon, was cultured in artificial seawater media containing a range of Fe concentration. Fe additions stimulated growth, N₂ fixation, cellular chlorophyll a content, light-saturated chlorophyll a-specific gross photosynthetic capacity (P_m ^chla) and the dark respiration rate (R_d ^chla). Cell yields only doubled for 9 nM Fe relative to zero added Fe, whereas N₂ fixation increased 11-fold considerably for 450 nM Fe. The results suggest that N₂ fixation of Trichodesmium is more sensitive to Fe limitation than are the cell yields.     

Why and how to estimate the cost of symbiotic N2 fixation? A progressive approach based on the use of14C and15N isotopes

The process of symbiotic nitrogen fixation, though of obvious advantage to legumes in situations in which nitrogen is limiting, results in substantial penalty to the host plant in terms of cost of maintenance, synthesis and nitrogen reduction. Accurate estimates of costs are difficult to obtain because of the lack of simple methods to measure N₂ fixation and associated energy consumption. In relation to these difficulties, a multiple-step approach involving isotopes (¹⁴CO₂–¹⁵N₂) methodologies is described.The estimation of net respiratory cost associated with the N₂ reduction activity in near-natural conditions was achieved using simultaneous¹⁴CO₂ and¹⁵N₂ labelling. It gives a minimum value of 2.5 mg C/mg N fixed. This value was corrected by the estimation of the amount of carbon saved through the process of CO₂ fixation by the PEP carboxylase of the nodules, using¹⁴CO₂ in the soil atmosphere. This gives a real respiratory cost of 4 mg C/mg N fixed.