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  • Articles  (47)
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  • 1
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    BIT 33 (1993), S. 512-528 
    ISSN: 1572-9125
    Keywords: 65D10 ; 65D07 ; 41A15 ; 41A29 ; Data fitting ; smoothing ; shape preservation ; constrained least squares approximation ; polynomial splines ; B-splines
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract An efficient algorithm for computing a smoothing polynomial splines under inequality constraints on derivatives is introduced where both order and breakpoints ofs can be prescribed arbitrarily. By using the B-spline representation ofs, the original semi-infinite constraints are replaced by stronger finite ones, leading to a least squares problem with linear inequality constraints. Then these constraints are transformed into simple box constraints by an appropriate substitution of variables so that efficient standard techniques for solving such problems can be applied. Moreover, the smoothing term commonly used is replaced by a cheaply computable approximation. All matrix transformations are realized by numerically stable Givens rotations, and the band structure of the problem is exploited as far as possible.
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  • 2
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    Advances in computational mathematics 1 (1993), S. 1-37 
    ISSN: 1572-9044
    Keywords: Refinement equations ; up-function ; entire functions of exponential type ; subdivision algorithms ; cube spline ; (AMS) 34K99 ; 41A15 ; 41A25 ; 41A63
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper is concerned with the study of a general class of functional equations covering as special cases the relation which defines theup-function as well as equations which arise in multiresolution analysis for wavelet construction. We discuss various basic properties of solutions to these functional equations such as regularity, polynomial containment within the space spanned by their integer shifts and their computability by subdivision algorithms.
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  • 3
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    Numerische Mathematik 66 (1993), S. 123-137 
    ISSN: 0945-3245
    Keywords: 41A55 ; 41A15 ; 41A05 ; 65D32 ; 65D30 ; 65D07 ; 65D05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary The Gregory rule is a well-known example in numerical quadrature of a trapezoidal rule with endpoint corrections of a given order. In the literature, the methods of constructing the Gregory rule have, in contrast to Newton-Cotes quadrature,not been based on the integration of an interpolant. In this paper, after first characterizing an even-order Gregory interpolant by means of a generalized Lagrange interpolation operator, we proceed to explicitly construct such an interpolant by employing results from nodal spline interpolation, as established in recent work by the author and C.H. Rohwer. Nonoptimal order error estimates for the Gregory rule of even order are then easily obtained.
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  • 4
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    Numerische Mathematik 65 (1993), S. 63-75 
    ISSN: 0945-3245
    Keywords: 41A15 ; 65DO5 ; 65D15
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary We give a complete characterization of the Hermite interpolation problem by periodic splines with Birkhoff knots. As a dual result we derive the characterization of the Birkhoff interpolation by periodic splines with multiple knots.
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  • 5
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    Numerische Mathematik 66 (1993), S. 281-294 
    ISSN: 0945-3245
    Keywords: 41A15 ; 60F15
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary The purpose of this paper is to study the convergence of smoothingD m -splines relative to sets of data perturbed by a random noise. Conditions of almost sure convergence and error estimates are given.
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  • 6
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    Constructive approximation 9 (1993), S. 123-166 
    ISSN: 1432-0940
    Keywords: Primary 41A63 ; 46C99 ; Secondary 41A30 ; 41A15 ; 42B99 ; 46E20 ; Wavelets ; Multiresolution ; Shift-invariant spaces ; Box splines
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A new approach for the construction of wavelets and prewavelets onR d from multiresolution is presented. The method uses only properties of shift-invariant spaces and orthogonal projectors fromL 2(R d ) onto these spaces, and requires neither decay nor stability of the scaling function. Furthermore, this approach allows a simple derivation of previous, as well as new, constructions of wavelets, and leads to a complete resolution of questions concerning the nature of the intersection and the union of a scale of spaces to be used in a multiresolution.
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  • 7
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    Constructive approximation 9 (1993), S. 191-208 
    ISSN: 1432-0940
    Keywords: Primary 28C20 ; 41A15 ; 46E30 ; 60J65 ; Secondary 60E15 ; 62J10 ; Wiener measure ; Brownian motion ; Spline approximation ; Orthonormal spline system ; Franklin system ; Orlicz spaces ; Hölder classes ; Covariance ; Correlation ; Gaussian vectors
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract There are three results proved in this paper. The first one characterizes the Hölder classes in Orlicz spaces by the coefficients of the orthogonal spline expansions of the Franklin type. The second one gives a sharp estimate for the correlation of two random variables obtained as a composition of two Borel functions with the components of a given two-dimensional Gaussian vector. The third one is obtained with the help of the first two and it states that the Wiener measure is concentrated on the Banach space of Hölder functions with exponent 1/2 but in the norm of the Orlicz spaceL M * withM(t)=expt(t 2)−1.
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  • 8
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    Constructive approximation 9 (1993), S. 209-236 
    ISSN: 1432-0940
    Keywords: Primary 41A63 ; 46C99 ; Secondary 41A30 ; 41A15 ; 42B99 ; 46E20 ; Courant interpolating function ; Linear splines ; Hexagonal filter banks ; Biorthogonal wavelets ; multiresolution analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We study a class of subband coding schemes allowing perfect reconstruction for a bidimensional signal sampled on the hexagonal grid. From these schemes we construct biorthogonal wavelet bases ofL 2(R 2) which are compactly supported and such that the sets of generating functionsψ 1,ψ 2,ψ 3 for the synthesis and $$\tilde \psi _1 , \tilde \psi _2 , \tilde \psi _3 ,$$ for the analysis, as well as the scaling functions φ and $$\tilde \varphi $$ , are globally invariant by a rotation of 2π/3. We focus on the particular case of linear splines and we discuss how to obtain a higher regularity. We finally present the possibilities of sharp angular frequency resolution provided by these new bases.
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  • 9
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    Constructive approximation 9 (1993), S. 263-281 
    ISSN: 1432-0940
    Keywords: 15A23 ; 15A24 ; 39B42 ; 41A15 ; 42C15 ; 47A62 ; Splines ; Wavelets ; Matrix equations ; Hurwitz matrices ; Toeplitz matrices ; Two-slanted matrices ; Matrix factorization ; Total positivity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Given two function spacesV 0,V 1 with compactly supported basis functionsC i, Fi, i∈Z, respectively, such thatC i can be written as a finite linear combination of theF i's, we study the problem of decomposingV 1 into a direct sum ofV 0 and some subspaceW ofV 1 in such a way thatW is spanned by compactly supported functions and that eachF i can be written as a finite linear combination of the basis functions inV 0 andW. The problem of finding such locally finite decompositions is shown to be equivalent to solving certain matrix equations involving two-slanted matrices. These relations may be reinterpreted in terms of banded matrices possessing banded inverses. Our approach to solving the matrix equations is based on factorization techniques which work under certain conditions on minors. In particular, we apply these results to univariate splines with arbitrary knot sequences.
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  • 10
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    Constructive approximation 9 (1993), S. 373-389 
    ISSN: 1432-0940
    Keywords: 41A05 ; 41A15 ; 41A20 ; 65D05 ; 65D07 ; 65D17 ; 68U07 ; Geometric rational curve interpolation ; Shape preservation ; Convexity ; Parametric splines ; Conics ; Approximation order
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Five points in general position inR 2 always lie on a unique conic, and three points plus two tangents also have a unique interpolating conic, the type of which depends on the data. These well-known facts from projective geometry are generalized: an odd number 2n+1≥5 of points inR 2, if they can be interpolated at all by a smooth curve with nonvanishing curvature, will have a uniqueGC 2 interpolant consisting of pieces of conics of varying type. This interpolation process reproduces conics of arbitrary type and preserves strict convexity. Under weak additional assumptions its approximation order is ϑ(h 5), whereh is the maximal distance of adjacent data pointsf(t i ) sampled from a smooth and regular planar curvef with nonvanishing curvature. Two algorithms for the construction of the interpolant are suggested, and some examples are presented.
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  • 11
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    Constructive approximation 9 (1993), S. 407-433 
    ISSN: 1432-0940
    Keywords: 41A15 ; 41A25 ; 41A30 ; Quasi-interpolation ; Thin-plate spline ; Radial basis functions ; Order of convergence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Quasi-interpolation is one method of generating approximations from a space of translates of dilates of a single function ψ. This method has been applied widely to approximation by radial basis functions. However, such analysis has most often been performed in the setting of an infinite uniform grid of centers. In this paper we develop general error bounds for approximation by quasiinterpolation on ann-cube. The quasi-interpolant analyzed involves a finite number, growing ash −n , of translates of dilates of the function ψ, and a bounded number of edge functions. The centers of the translates of dilates of ψ form a uniformly spaced grid within the cube. These error bounds are then applied to approximation by thin-plate splines on a square. The result is an O(ω(f, [-1,1]2,h)) error bound for approximation by thin-plate splines supplemented with eight arctan functions.
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  • 12
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    Numerical algorithms 5 (1993), S. 71-81 
    ISSN: 1572-9265
    Keywords: Approximation order ; multivariate splines ; polynomial splines ; 41A15 ; 65D07
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract We give an algorithm which computes the approximation order of spaces of periodic piece-wise polynomial functions, given the degree, the smoothness and tesselation. The algorithm consists of two steps. The first gives an upper bound and the second a lower bound on the approximation order. In all known cases the two bounds coincide.
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  • 13
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    Numerical algorithms 5 (1993), S. 591-601 
    ISSN: 1572-9265
    Keywords: Quadratic box splines in three variables ; isosurface sampling ; Boltzmann transport equation ; 41A15
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Numerical approximation has played a valuable supporting role in VLSI device simulation. Examples include (1) tensor product variation diminishing splines for models of transistor charges and currents and (2) continuation to find a safe operating region avoiding avalanche breakdown. More recently, quadratic box splines in three variables have been studied for use in Monte Carlo solution of the Boltzmann transport equation. The bivariate Zwart-Powell element does not directly generalize, but another particular box spline is constructed.
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  • 14
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    Numerical algorithms 4 (1993), S. 323-337 
    ISSN: 1572-9265
    Keywords: Multivariate polynomials ; B-patch ; B-spline ; product ; tensor product ; conversion ; pyramidal algorithm ; de Casteljau algorithm ; blossom ; polar form ; 41A15 ; 65D07
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Products and tensor products of multivariate polynomials in B-patch form are viewed as linear combinations of higher degree B-patches. Univariate B-spline segments and certain regions of simplex splines are examples of B-patches. A recursive scheme for transforming tensor product B-patch representations into B-patch representations of more variables is presented. The scheme can also be applied for transforming ann-fold product of B-patch expansions into a B-patch expansion of higher degree. Degree raising formulas are obtained as special cases. The scheme calculates the blossom of the (tensor) product surface and generalizes the pyramidal recursive scheme for B-patches.
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  • 15
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    Numerical algorithms 5 (1993), S. 121-129 
    ISSN: 1572-9265
    Keywords: Surface splines ; scattered data interpolation ; incompressible fluid flow ; 41A05 ; 41A15 ; 41A29 ; 41A63 ; 65D05 ; 65D07 ; 65D25 ; 76B99 ; 76D99
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract We show how one may interpolate a vector-valued function in two or three dimensions, whose value is (wholly or partly) known at a sufficient (but not large) number of points disposed in almost any configuration, under the condition that the interpolating function has zero divergence. The technique is based on the theory of thin-plate splines. One may use a similar scheme in the case where the data consist of flux integrals (or other linear functionals) of the unknown function.
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  • 16
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    Numerical algorithms 5 (1993), S. 229-245 
    ISSN: 1572-9265
    Keywords: Stable decompositions ; periodic multiresolution analysis ; pseudodifferential equations ; preconditioning ; decompositions of refinable spaces ; matrix equations ; 41A65 ; 41A15 ; 15A12 ; 15A24 ; 65N40 ; 47G05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract This paper presents a brief survey of several recent applications of multilevel techniques, in particular, in connection with the solution of periodic pseudodifferential equations. It is pointed out that these applications naturally lead to certain decompositions of refinable spaces which are induced by a class of linear projectors. Then recent results on the construction of such nonorthogonal wavelets are reviewed and extended to the particular needs of the present context.
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  • 17
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    Plant and soil 152 (1993), S. 19-23 
    ISSN: 1573-5036
    Keywords: acetylene reduction ; difference method ; legumes ; 15N isotope method ; nitrogen ; nitrogen fixation ; Rhizobium
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract To assure proper management and fully realize the benefits of the legume-Rhizobium symbiosis it is necessary to be able to quantify the amount of nitrogen fixed. Having measured the effectiveness of atmospheric N2 fixation the macro- or micro-symbionts as well as agronomic factors can be manipulated with the objective to maximize biological nitrogen fixation. A suitable method to quantify nitrogen fixation is therefore necessary in any programme aiming at increasing N2 fixation, like the one being reported in this volume. There are several methods available to quantify nitrogen fixation and most of the commonly used ones are described in the present paper listing their advantages and disadvantages.
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  • 18
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    Plant and soil 155-156 (1993), S. 349-352 
    ISSN: 1573-5036
    Keywords: copper nutrition ; iron ; leghaemoglobin ; Lupinus luteus L. ; nitrogen fixation ; polyphenol oxidase activity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract The effect of copper nutrition on symbiotic N2 fixation in Lupinus luteus L. was studied. Copper nutrition increased the yield, total nitrogen content and dry weight of nodules. The control plants did not produce pods. Copper deficiency limited iron uptake and its translocation to the nodules. Nodules of copper-deficient plants contained less than half the leghaemoglobin concentration of copper-adequate plants and about one third the polyphenol oxidase activity, tested with catechol as a substrate.
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  • 19
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    Plant and soil 149 (1993), S. 103-109 
    ISSN: 1573-5036
    Keywords: common beans ; gliricidia ; leucaena ; lonchocarpus ; nitrogenase ; nitrogen fixation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Common bean (Phaseolus vulgaris L.) represents an important crop in tropics, but previous screenings of Rhizobium leguminosarum bv. phaseoli did not show strains that could fix N2 in symbiosis with bean at temperatures higher than 35°C (Hungria and Franco, 1993). However, there are other rhizobia and bradyrhizobia species that nodulate some tropical leguminous trees and can fix N2 at high temperatures. In a trial of rhizobial strains isolated from leguminous trees, we found that 14 out of 21 isolates from Gliricidia, Lonchocarpus and Leucaena were also able to nodulate common beans at optimal temperatures (28/23°C, day/night). When we exposed beans inoculated with these strains to high temperature conditions, 40°C/8 h/day, some of them accumulated at flowering time as much or more N as bean plants receiving mineral N. These broad host-range sources of rhizobia capable of fixing nitrogen with bean at high temperature seem to have the potential to improve yields in tropical soils.
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  • 20
    ISSN: 1573-5036
    Keywords: carbohydrates ; leghemoglobin ; nitrogen fixation ; nitrogenase ; ontogeny ; Pisum sativum ; pod-filling ; protein ; proteolytic activity ; respiration ; Rhizobium leguminosarum ; root nodules ; starch
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Root nodule ontogeny was followed in different parts of the root system of field peas (Pisum sativum L. cv. Century) to investigate the contribution to total nitrogen fixation by different nodule subpopulations. Seed-inoculated plants were grown to maturity in controlled-environment growth chambers. In a flow-through system nitrogenase activity (H2-evolution in air) and nodulated-root respiration (net CO2-evolution) were measured weekly or biweekly in different parts (top and mid) of the root system. Root nodule extracts were assayed for total soluble cytosolic protein, total heme, proteolytic capacity (at pH 7.0), soluble carbohydrates and starch. Total nitrogenase activity and nodule respiration were higher in the top zone, which was explained by differences in root and nodule mass. Nodule specific nitrogenase activity was similar in both zones, and gradually declined throughout the experiment. No differences were found between nodule subpopulations in the dry-matter specific concentrations of glucose, fructose, sucrose or starch. Neither did nodule concentrations of protein or leghemoglobin differ between the zones. Throughout reproductive growth, no decline was found in total or nodule specific nitrogenase activity, in any of the nodule subpopulations. Growth of the root nodules continued throughout the experiment, though growth of shoot and roots had ceased. The data gives no support for carbohydrate limitation in root nodules during pod-filling, since nodule respiration remained high, the concentration of soluble carbohydrates increased significantly, and the amount of starch was not reduced. We conclude that when this symbiosis is grown under controlled conditions, nitrogenase activity in nodules sub-sampled from the crown part of the root system is representative for the whole nodule population.
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  • 21
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    Plant and soil 151 (1993), S. 167-174 
    ISSN: 1573-5036
    Keywords: glutamine synthetase ; glutamate synthase ; nitrogen fixation ; plant genotype ; root nodules ; Vicia faba
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Five inbred lines and a commercial cultivar of field-bean (Vicia faba) were inoculated with a strain of Rhizobium leguminosarum bv. viciae and grown, with or without nitrate, under axenic conditions in a growth chamber. There were significant (p〈0.01) differences between lines in N yield, both in N-free solution (N2 fixed, fully symbiotic) and with added NO3 −. Increase in the N yield of NO3 −-fed plants compared with fully symbiotic plants also varied between genotypes, with line VF109 being the least responsive to NO3 −. This may indicate nitrate tolerance in relation to N2 fixation. The indication was supported by the observations that nodule development and nodule activity (acetylene reduction) were less inhibited in VF109 in the presence of 8 mM NO3 − than in the other lines of Vicia faba. Glutamine synthetase and glutamate synthase (GOGAT) activities appeared to be related to genotypic differences in symbiotic efficiency. This finding suggests that assays of nodule glutamine synthetase and NADH-glutamate synthase might be used in Vicia faba breeding programs to indicate capacity for symbiotic N2 fixation, particularly in the presence of NO3 −. ei]Section editor: B G Rolfe
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  • 22
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    Plant and soil 152 (1993), S. 71-79 
    ISSN: 1573-5036
    Keywords: common bean ; nitrogen fixation ; Phaseolus vulgaris L.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Common bean (Phaseolus vulgaris L.), which is an important food crop in the Americas, Africa and Asia, usually is thought to fix only small amounts of atmospheric nitrogen. However, field data indicate considerable genetic variability for total N2 fixation and traits associated with fixation. Studies have shown that selection to increase N2 fixation will be successful if: (1) discriminating traits (selection criteria) are measured precisely, (2) variability in germplasm is heritable, (3) selected parents are also agronomically suitable, (4) units of selection facilitate quantification of selection criteria, and (5) a breeding procedure that allows maximum genetic gain for N2 fixation and recombination with essential agronomic traits is chosen. Breeding lines capable of fixing enough atmospheric N2 to support seed yields of 1000–2000 kg ha−1 have been identified and new cultivars with high N2 fixation potential are being released.
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  • 23
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    Plant and soil 152 (1993), S. 87-91 
    ISSN: 1573-5036
    Keywords: common bean ; 15N isotope dilution ; nitrogen fixation ; Phaseolus vulgaris L.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Two field experiments were performed to evaluate the nitrogen fixation potential of twenty common bean cultivars and breeding lines during summer and winter seasons of 1986 and 1988, respectively. The 15N isotope dilution method was used to quantify N2 fixation. The cultivars and breeding lines were variable in terms of their N2 fixation. The cv. Caballero was very efficient, with more than 50% N derived from the atmosphere and 60–80 kg N ha−1 fixed in both seasons. Other cultivars were less efficient, since the poorest ones derived less than 30% of their nitrogen from the atmosphere and fixed less than 20 kg N ha−1. After additional testing the best cultivars may be used directly by the farmers for cultivation. The experiments have provided information about which genotypes may be used to breed for enhanced fixation in common bean.
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  • 24
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    Plant and soil 152 (1993), S. 115-121 
    ISSN: 1573-5036
    Keywords: common bean ; nitrogen assimilation ; nitrogen fixation ; nitrogen partitioning
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Field and greenhouse experiments were conducted to assess the nitrogen fixation rates of four cultivars of common bean (Phaseolus vulgaris L.) at different growth stages. The 15N isotope dilution technique was used to quantify biological nitrogen fixation. In the greenhouse, cultivars M4403 and Kallmet accumulated 301 and 189 mg N plant−1, respectively, up to 63 days after planting (DAP) of which 57 and 43% was derived from atmosphere. Under field conditions, cultivars Bayocel and Flor de Mayo RMC accumulated in 77 DAP, 147 and 135 kg N ha−1, respectively, of which approximately one-half was derived from the atmosphere. The rates of N2 fixation determined at different growth stages increased as the plants developed, and reached a maximum during the reproductive stage both under field and greenhouse conditions. Differences in translocation of N were observed between the cultivars tested, particularly under field conditions. Thus, the fixed N harvest index was 93 and 60 for cultivars Flor de Mayo and Bayocel, respectively. In early stages of growth, the total content of ureides in the plants correlated with the N fixation rates. The findings reported in the present paper can be used to build a strategy for enhancing biological N2 fixation in common bean.
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  • 25
    ISSN: 1573-5036
    Keywords: Actinorhiza ; Betula pendula ; Betula pubescens ; birch ; Enterobacter agglomerans ; Festuca rubra ; Frankia ; Klebsiella pneumoniae ; nitrogen fixation ; Poa pratensis ; Pseudomonas sp. ; rhizosphere ; root
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Bacterial growth in the rhizosphere and resulting changes in plant growth parameters were studied in small aseptic seedlings of birch (Betula pendula and B. pubescens) and grasses (Poa pratensis and Festuca rubra). The seedlings were inoculated with three Frankia strains (Ai1a and Ag5b isolated from native Alnus root nodules and Ai17 from a root nodule induced by soil originating from a Betula pendula stand), and three associative N2-fixing bacteria (Enterobacter agglomerans, Klebsiella pneumoniae and Pseudomonas sp., isolated from grass roots). Microscopic observations showed that all the Frankia strains were able to colonize and grow on the root surface of the plants tested without addition of an exogenous carbon source. No net growth of the associative N2-fixers was observed in the rhizosphere, although inoculum viable counts were maintained over the experimental period. Changes in both the biomass and morphology of plant seedlings in response to bacterial inoculation were recorded, which were more dependent on the plant species than on the bacterial strain.
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  • 26
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    Plant and soil 155-156 (1993), S. 353-354 
    ISSN: 1573-5036
    Keywords: cowpea ; nitrogen fixation ; nitrate ; partitioning
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract If the quality and quantity of yields from cowpea (Vigna unguiculata [L.] Walp.) are to be maximised, a complete understanding of the N nutrition of the plant must be achieved. The N requirement for developing pods of this species may come from mobilization of N in vegetative tissue, biological N fixation and uptake of N from soil. In this study, the fate of a pulse of fixed 15N2 or of 15NO3-given to different cowpea plants during pod development was determined. The plants were grown in vermiculite in plastic pots that were able to be sealed with silicone adhesive and equipped with a rubber septum so that 15N2 gas could be injected into the air space above the vermiculite, and gas losses would be eliminated. Nineteen days after injection of 15N2 the pods, leaves, nodules and roots contained 65%, 15%, 9%, and 4%, respectively of the quantity of 15N2 fixed. When 15NO3-15N was taken up by other plants during this period, these plant parts contained 40%, 26%, 3% and 19%, respectively, of the total plant 15N. The percentage 15N in roots was greater, and that of 15N in nodules was lower, when 15NO3-15N was applied than when 15N2 was utilised by plants. These results indicate that, while a high percentage of fixed-N or NO3-N given to cowpea plants moved to the developing pods, other sinks were competing for this newly-aquired N.
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  • 27
    ISSN: 1573-5036
    Keywords: mutant ; 15N isotope dilution ; nitrogen fixation ; nitrogen (N) use efficiency ; nodules ; phosphorus ; phosphorus (P) use efficiency ; roots ; supernodulator
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract The effect of different levels of soil phosphorus on nodulation, N2 fixation and growth of supernodulating soybean mutant, nts 382, its parent, Bragg, and soybean cultivar, Chippewa, were compared in a greenhouse study. The P rates were, 0, 30, 60 and 90 mg kg−1 soil (P0, P1, P2 and P3, respectively). The reduced shoot growth of nts 382 (25% at P0 and 17% at P3) could not be attributed to P deficiency, as nts 382 achieved near maximum yield at a lower P rate (P1) than Bragg (P2). The P response of Chippewa that produced the lowest shoot yield, was similar to that of Bragg. Root growth of nts 382 was more retarded than shoot growth (on average 50% that of Bragg), and yet absorbed a similar amount of total P as Bragg. Also, Chippewa that had the lowest root dry matter accumulated the highest P in the shoots. The data indicate that plant growth was influenced by differences in P use efficiency rather than differences in total P. In contrast to plant growth, nts 382 accumulated 26% more N than Bragg, and Chippewa accumulated a similar amount of N as Bragg. Thus again, Bragg used N most efficiently for growth. Soil N uptake was not governed by root biomass, and Chippewa absorbed more N from soil than both Bragg and nts 382 which absorbed similar amounts of soil N. Nodulation in nts 382 was significantly enhanced, being 528 and 892% greater than Bragg at P0 and P3, respectively, and nts 382 was the only cultivar whose nodulation was consistently enhanced by P addition. The percentage of N derived from fixation (% Ndfa) was not affected by supernodulation, but because of a greater accumulation of total N in nts 382, amount of N fixed (Ndfa) was on average 30% higher in nts 382 than Bragg. Also, while % Ndfa in either nts 382 or Bragg was not influenced by P addition, total N and consequently, Ndfa increased. However, for Chippewa which fixed the lowest N, both % Ndfa and Ndfa were increased by P addition. We conclude that although supernodulation had an adverse effect on shoot and root growth, these reductions could not be attributed to a reduced uptake of the two major plant nutrients, N and P, neither was there evidence that the mutation had caused a greater demand for these nutrients, other than for the greater requirement of P for nodulation. ei]{gnR O D}{fnDixon}
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  • 28
    ISSN: 1573-5036
    Keywords: Azospirillum ; inoculation ; nitrogen fixation ; wheat
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Azosprilla were collected in wheat fields from subtropical and temperate soils of central Nepal at various elevations. Different wheat cultivars responded positively and significantly in grain yield, grain N-yield, and total N-yield in plant shoots to the inoculation with Nepalese isolate Azospirillum 10SW. Nepalese wheat cv. Seto responded significantly better with Azospirillum 10SW than with the Brasilian isolate A. lipoferum Sp 108 st, a strain which was found highly efficient in earlier experiments with German wheat cultivars, especially cv. Turbo. Yield of Turbo was increased by inoculations of both Azospirillum strains too, but it showed no significant differences depending from the inoculum used. The higher efficacy of combining Azospirillum 10SW and Seto, both collected from the same locality, indicates the possibility of improved associations using traditional cultivars and local bacteria. ei]{gnR O D}{fnDixon}
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  • 29
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    Plant and soil 151 (1993), S. 147-150 
    ISSN: 1573-5036
    Keywords: Acacia ; isotope dilution ; nitrogen fixation ; N15 ; nitrogen partitioning ; tree
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract An experiment was conducted in the field to determine the partitioning of 15N from ammonium sulfate fertilizer in two-year old trees of Acacia mangium and Acacia auriculiformis. For both species, most of the 15N excess was partitioned into woody tissue, green material and root biomass present at the beginning of the experiment. Approximately one third of the 15N excess was contained in leaves that developed during the 60 days of the experiment. The concentration of 15N excess in the newly developed leaves indicated that more than 90% of the N came from a source other than the fertilizer. Based on the large quantity of N applied in the fertilizer and the inherently infertile soil, it appears that much of the N contained in the newly developed leaves came from N remobilized from other tree parts. ei]{gnR O D}{fnDixon}
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  • 30
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    Plant and soil 155-156 (1993), S. 329-332 
    ISSN: 1573-5036
    Keywords: 15N2 actinorhizals ; controlled environment ; legumes ; nitrogen fixation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract A gas-tight chamber has been constructed to calibrate the 15N isotope dilution method against direct 15N2 measurements. The theoretical basis for such estimates is given, and the practical problems associated with the experiments are discussed.
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  • 31
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    Plant and soil 154 (1993), S. 211-217 
    ISSN: 1573-5036
    Keywords: nitrogen fixation ; plant growth promotion ; Pseudomonas sp. ; Rhizobium leguminosarum ; vitamins
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Fluorescent Pseudomonas sp. strain 267 promotes growth of nodulated clover plants under gnotobiotic conditions. In the growth conditions (60 μM FeCl3), the production of siderophores of the pseudobactin-pyoverdin group was repressed. Plant growth enhancement results from secretion of B vitamins by Pseudomonas sp. strain 267. This was proven by stimulation of clover growth by naturally auxotrophic strains of Rhizobium leguminosarum bv. trifolii and marker strains E. coli thi- and R. meliloti pan- in the presence of the supernatant of Pseudomonas sp. strain 267. The addition of vitamins to the plant medium increased symbiotic nitrogen fixation by the clover plants.
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  • 32
    ISSN: 1573-5036
    Keywords: intercropping ; nitrogen fixation ; nodulation ; pigeonpea ; root respiration ; sorghum
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract A medium-duration pigeonpea cultivar (ICP 1–6) and a hybrid sorghum (CSH 5) were grown on a shallow Alfisol in monocropping and intercropping systems. Using a monolith method, spatial distribution of nodulation, acetylene reduction activity (ARA) and root respiration were measured. The number, mass and ARA of nodules decreased exponentially with distance from the plant base except at the late reproductive stage. Nodulation and ARA tended to be higher in the intercrop than in the monocrop. Respiration rate of roots increased with distance from the plant base and reached a maximum value at about 20–30 cm. The rate was higher in pigeonpea than in sorghum and also higher in intercrop than in monocrop. This study suggests that pigeonpea roots are physiologically more active than sorghum roots, implying that pigeonpea may become a strong competitor for nutrients in the soil when intercropped. The nitrogen-fixing ability of pigeonpea may be enhanced by intercropping because the sorghum rapidly absorbed inorganic N which would otherwise inhibit N2 fixation.
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  • 33
    ISSN: 1573-5036
    Keywords: Bradyrhizobium japonicum ; Glycine max ; 15N isotope dilution ; nitrogen fixation ; nodulation ; short season ; soil temperature ; soybean
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract In areas with a short growing season the poor adaptability of soybean [Glycine max Meer. (L.)] to cool soil conditions is considered the primary yield limiting factor. Soybean requires temperatures in the 25 to 30°C range for optimum N2-fixation and yield. Field studies were conducted in 1990 and 1991 at Montreal, Quebec to determine whether adaptability to cool soil conditions, with respect to earlier symbiosis establishment and function, existed among either Bradyrhizobium strains or soybean genotypes. An early maturing isoline of the soybean cultivar Evans and the cultivar Maple Arrow were inoculated with one of four strains isolated from the cold soils of Hakkaido, northern Japan, or the commercially used strains 532C or USDA110, at two planting dates. Plot biomass and nodulation were assessed at seedling (V2), and flowering(R2) growth stages and harvest maturity. Soybean genotypes did not differ for pre-flowering nodulation or N2-fixation in the cool spring conditions of the first year. Seasonal N2-fixation rates were also determined at the final harvest by the N-balance and 15N-isotope dilution methods. Significantly higher symbiotic activity was found for two of the four Hakkaido strains and was reflected in higher final soybean seed yield and total N2-fixation for the growing season, as compared to the two commercial strains. Planting 14 days earlier resulted in greater early vegetative and total seasonal N2 fixation and yield in the second year when soil temperatures were warmer, emphasizing the need for the development of soybean-Bradyrhizobium combinations superior in nodule development and function under cool soil conditions.
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  • 34
    ISSN: 1573-5036
    Keywords: Acacia mangium ; acidity ; aluminium ; Bradyrhizobium ; Faidherbia albida ; nitrogen fixation ; selection ; symbiosis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract This work was designed to determine the role of the acidity and aluminium stress in the selection of partners in the Acacia symbioses with relevance to the persistence of the microsymbiont Bradyrhizobium in the soil and the growth and nodulation of the host plant respectively. Fifteen strains of Bradyrhizobium from Acacia mangium and Faidherbia albida formed a very homogenous acid tolerant group as indicated by their ability to grow better in a medium at pH 4.5 than in a medium at pH 6.8. By contrast, a growth experiment using an acid liquid media (pH 4.5), containing different concentrations of aluminium successfully identified strains sensitive to aluminium toxicity and those able to grow even in the presence of 100 μM AlCl3. Our results suggest that high amounts of aluminium in the soil rather than acidity (pH 4.5) were a major soil factor for selection of Bradyrhizobium strains capable of establishing a permanently high population under natural conditions. Unlike the behaviour of the microsymbiont, growth and nodulation of Acacia mangium and Faidherbia albida were not affected by aluminium, even at 100 μM, but they might be significantly affected by medium acidity (pH 4.5) depending on plant provenances. It is therefore suggested that ability of the host plant to tolerate acidity stress should be taken into account first when screening effective Acacia-Bradyrhizobium combinations for use in afforestation trials.
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  • 35
    ISSN: 1573-5036
    Keywords: genetics ; ineffective nodulation ; mutants ; nitrogen fixation ; symbiosis ; Rj4 gene
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract The dominant allele Rj4 in soybean interdicts or restricts the nodulation of plants by certain strains of bacteria, most of which are classified as Bradyrhizobium elkanii, while the recessive allele permits normal nodulation with the same strains. The near isogenic lines BARC-2 (Rj4) and BARC-3 (rj4) are calculated to be 99.95% identical in their nuclear DNA, but differ specifically in the allele present at the Rj4 locus. These lines were used to identify spontaneous mutants of the Rj4-restricted Bradyrhizobium elkanii strain USDA 61 Nalr that had the ability to effectively nodulate plants of the Rj4 genotype. Of the eight rare nodules found on roots of soybean plants of the Rj4 genotype inoculated with the genetically marked strain USDA 61 Nalr, four were identified as containing mutants with the ability to overcome the effects of the Rj4 allele.
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  • 36
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    Plant and soil 152 (1993), S. 1-17 
    ISSN: 1573-5036
    Keywords: grain legumes ; N2 ; 15N isotope dilution ; nitrogen fixation ; Rhizobium ; symbiosis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Biological nitrogen fixation of leguminous crops is becoming increasingly important in attempts to develop sustainable agricultural production. However, these crops are quite variable in their effectiveness in fixing nitrogen. By the use of the 15N isotope dilution method some species have been found to fix large proportions of their nitrogen, while others like common bean have been considered rather inefficient. Methods for increasing N2 fixation are therefore of great importance in any legume work. Attempts to enhance nitrogen fixation of grain legumes has been mainly the domain of microbiologists who have selected rhizobial strains with superior effectiveness or competitive ability. Few projects have focused on the plant symbiont with the objective of improving N2 fixation as done in the FAO/IAEA Co-ordinated Research Programme which is being reported in this volume. The objective of the present paper is to discuss some possibilities available for scientists interested in enhancing symbiotic nitrogen fixation in grain legumes. Examples will be presented on work performed using agronomic methods, as well as work on the plant and microbial symbionts. There are several methods available to scientists working on enhancement of N2 fixation. No one approach is better than the others; rather work on the legume/Rhizobium symbiosis combining experience from various disciplines in inter-disciplinary research programmes should be pursued.
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  • 37
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    Plant and soil 152 (1993), S. 81-85 
    ISSN: 1573-5036
    Keywords: grain legumes ; mutagenesis ; nitrogen fixation ; plant breeding
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Genetic variation among existing cultivars and in germplasm collections is the outcome of selection during evolution and plant breeding. Mutagenesis offers the plant breeder a chance to tackle unconventional objectives, particularly those that were at a selection disadvantage in the past. Effective mutagens are available, but the bottleneck is the effective selection of rare desired variants from large mutagenized populations. Selection methods must be non-destructive. Grain legume mutation breeding has already led to improved cultivars with higher yield, better grain quality, or stronger resistance to pathogenens. Many mutations affecting nitrogen fixation related traits have also been reported. Some could be useful in breeding better cultivars, but the majority are being used to study the factors interacting in the complex process of symbiotic nitrogen fixation and to improve the strategy for producing cultivars with better fixation capacity.
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  • 38
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    Plant and soil 152 (1993), S. 103-106 
    ISSN: 1573-5036
    Keywords: acetylene reduction ; 15N isotope ; nitrogen fixation ; nodulation ; Phaseolus vulgaris L.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Nitrogen fixation in nine common bean (Phaseolus vulgaris L.) lines was estimated using the 15N isotope dilution method at two locations in two seasons. In the first season at one location no N2 fixation was detected while in the second season up to 51 kg N ha−1 were estimated. There were significant differences between lines and correlations between trials were significant for the amounts of N2 fixed, but not for total shoot nitrogen. The plants that fixed the most nitrogen nodulated rapidly after germination. Differences in maximum nodule mass, but not specific nodule activity, were detected also.
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  • 39
    ISSN: 1573-5036
    Keywords: bean ; 15N isotope ; nitrogen fixation ; N fertilizer ; phosphorus ; potassium ; Rhizobium tropici ; sulphur
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Although common bean (Phaseolus vulgaris L.) has good potential for N2 fixation, some additional N provided through fertilizer usually is required for a maximum yield. In this study the suppressive effect of N on nodulation and N2 fixation was evaluated in an unfertile soil under greenhouse conditions with different levels of soil fertility (low=no P, K and S additions; medium = 50, 63 and 10 mg kg−1 soil and high = 200, 256 and 40 mg kg−1 soil, respectively) and combined with 5, 15, 60 and 120 mg N kg−1 soil of 15N-labelled urea. The overall average nodule number and weight increased under high fertility levels. At low N applications, nitrogen had a synergistic effect on N2 fixation, by stimulating nodule formation, nitrogenase activity and plant growth. At high fertility and at the highest N rate (120 mg kg−1 soil), the stimulatory effect of N fertilizer on N2 fixation was still observed, increasing the amounts of N2 fixed from 88 up to 375 mg N plant−1. These results indicate that a suitable balance of soil nutrients is essential to obtain high N2 fixation rates and yield in common beans.
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  • 40
    ISSN: 1573-5036
    Keywords: Bradyrhizobium japonicum ; Glycine max ; nitrogen fixation ; nodulation ; rhizobitoxine ; soil nitrogen
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Foliar chlorosis of soybean (Glycine max [L.] Merr.) resulting from nodulation by rhizobitoxine-producing (RT+) strains of Bradyrhizobium japonicum is commonly less severe in the field than under greenhouse conditions. Differences in nutritional conditions between the field and greenhouse may contribute to this phenomenon. In particular, field-grown plants obtain some N from soil sources, whereas in the greenhouse soybean is often grown in low-N rooting media to emphasize symbiotic responses. Therefore, we examined the effect of NO3 - on the expression of RT-induced symptoms. Soybean plants inoculated with RT+ bradyrhizobia were grown for 42 days in horticultural vermiculite receiving nutrient solution amended with 0.0, 2.5, or 7.5 mM KNO3. Foliar chlorosis decreased with increasing NO3 - application whereas nodule mass per plant was generally increased by NO3 - application. Total amounts of nodular RT remained constant or increased with NO3 - application, but nodular concentrations of RT decreased. Chlorosis severity was negatively correlated with shoot dry weight, chlorophyll concentration, and total shoot N content. It was concluded that application of NO3 - can reduce the negative effects of RT production on the host plant. This suggests that any NO3 - present in field soils may serve to limit chlorosis development in soybeans.
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  • 41
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    Advances in computational mathematics 1 (1993), S. 109-126 
    ISSN: 1572-9044
    Keywords: Hilbert space ; commuting unitary operators ; Riesz basis ; wandering subspaces ; multiresolution approximation ; duality principle ; box splines ; 41A15 ; 42C15 ; 47B37
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Let (U=U 1, ...,U d ) be an orderedd-tuple of distinct, pairwise commuting, unitary operators on a complex Hilbert space ℋ, and letX:={x 1, ...,x r } ⊂ ℋ such that $$U^{\mathbb{Z}^d } X: = \{ U_1^{n_1 } \ldots U_d^{n_d } x_j :(n_1 , \ldots ,n_d ) \in \mathbb{Z}^d ,j = 1, \ldots ,r\} $$ is a Riesz basis of the closed linear spanV 0 of $$U^{\mathbb{Z}^d } X$$ . Suppose there is unitary operatorD on ℋ such thatV 0 ⊂D V 0 =:V 1 andU n D=DU An for alln ∈ ℤ d , whereA is ad ×d matrix with integer entries and Δ := det(A) ≠ 0. Then there is a subset Λ inV 1, withr(Δ − 1) vectors, such that $$U^{\mathbb{Z}^d } (\Gamma )$$ is a Riesz basis ofW 0, the orthogonal complement ofV 0 inV 1. The resulting multiscale and decomposition relations can be expressed in a Fourier representation by one single equation, in terms of which the duality principle follows easily. These results are a consequence of an extension, to a set of commuting unitary operators, of Robertson's Theorems on wandering subspace for a single unitary operator [24]. Conditions are given in order that $$U^{\mathbb{Z}^d } (\Gamma )$$ is a Riesz basis ofW 0. They are used in the construction of a class of linear spline wavelets on a four-direction mesh.
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  • 42
    ISSN: 1573-5036
    Keywords: common bean ; N2 ; 15N isotope dilution ; nitrogen fixation ; Phaseolus vulgaris L. ; Rhizobium
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Field experiments were performed in Austria, Brazil, Chile, Colombia, Guatemala, Mexico and Peru as part of an FAO/IAEA Co-ordinated Research Programme to investigate the nitrogen fixing potential of cultivars and breeding lines of common bean (Phaseolus vulgaris L.). Each experiment included approximately 20 bean genotypes which were compared using the 15N isotope dilution method. Great differences in nitrogen fixation were observed between and within experiments, with average values of 35% N derived from atmosphere (% Ndfa) and highest values of 70% Ndfa being observed. These values which were larger than had been reported previously for common bean, were observed only when environmental factors were favorable. Therefore, common bean lines are available, which can support high biological nitrogen fixation. These can be used either directly as cultivars for production or in breeding programmes to enhance nitrogen fixation in other cultivars.
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  • 43
    ISSN: 1573-5036
    Keywords: breeding ; nitrogen fixation ; nodulation ; 15N isotope ; Phaseolus vulgaris L.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract N2 fixation in lines of Phaseolus vulgaris was measured by 15N-isotope dilution to determine whether a programme of crossing and recurrent selection had resulted in enhanced nitrogen fixation. In field experiments on an isohyperthermic Aquic Hapludoll soil the amount of N2 fixed by the different lines ranged from 18 to 36 kg ha−1 (32 to 47% of plant N) in 56 days. The quantity of N2 fixed and the proportion of plant N derived from fixation was not significantly greater in the lines selected for N2 fixation (RIZ lines) than parental lines. Total shoot N ranged from 53 to 77 kg ha−1 and partitioning of N to pods differed from 28 to 52% among the lines which all had similar growth habit and duration. Nodulation patterns were also distinct. Nodules formed early (10 to 15 plant−1 at 13 days) in many lines, and smallest amounts of fixation were observed in those lines which nodulated slowly and did not form substantial nodule mass until after 40 days. The screening criteria used in the selection of the RIZ lines had been largely indirect with other factors such as disease resistance also being included. Progress for increasing N2 fixation over good-fixing parental lines such as BAT76 was not significant and it is recommended that more attention be paid to early nodulation, to the use of soils with lower available N and to inter-crossing of lines having different good N2 fixation traits in order to further enhance the potential for N2 fixation in beans.
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  • 44
    ISSN: 1573-5036
    Keywords: A-value method ; legumes ; 15N isotope dilution ; nitrogen fixation ; Rhizobium
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract The 15N methods are potentially accurate for measuring N2 fixation in plants. The only problem with those methods is, how to ensure that the 15N/14N ratio in the plant accurately reflects the integrated 15N/14N ratio (R) in soil which is variable in time and with soil depth. However, the consequences of using an inappropriate reference plant vary with the level of N2 fixation and the conditions under which the study was made. For example, the errors introduced into the values of N2 fixation are higher at low levels of fixation, and decrease with increasing rates of fixation. At very high N2 fixation rates, the errors are often insignificant. Also, the magnitude of error is proportional to the rate of decline of the 15N/14N ratio with time. Since N2 fixation in most plants would be expected to below 60%, the question of how to select a good reference plant is still pertinent. In this paper, we have discussed some of the criteria to adopt in selecting reference plants, e.g. how to ensure that the reference plant is not fixing N2, is absorbing most of its N from the same zone as the fixing plant, and in the same pattern with time, etc. In addition, we have discussed 15N labelling materials and methods that are likely to minimize any errors even when the fixing and reference plants don't match well in certain important criteria. The use of slow release 15N fertilizer or 15N labelled plant materials results in slow changes in the 15N/14N ratio of soil, and is strongly recommended. Where 15N inorganic fertilizers are used, the application of the fertilizer in small splits at various intervals is recommended over a one-time application. The problem with the reference crop, which has sometimes discouraged potential users of the 15N methods, is surmountable, as discussed in this paper.
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  • 45
    ISSN: 1573-5036
    Keywords: common bean ; maize ; intercropping ; nitrogen fixation ; 15N isotope ; 15N natural variation ; Rhizobium
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Thirty one selected bean lines were evaluated in the field for ability to support N2 fixation when intercropped with maize which received 0, 30 and 60 kg N ha−1 as ammonium sulphate. The amount of fixed N2 was estimated using the natural variation of 15N and wheat as the standard non-fixing crop. Nitrogen as low as 15 kg N ha−1 at sowing suppressed nodule weight and activity (acetylene reduction activity) but not nodule number, suggesting that the main effect of mineral N was on nodule development and function. 15N data revealed a high potential of the bean genotypes to fix N2, with the most promising ones averaging between 50–60% of seed N coming from fixation. Bean lines CNF-480, Puebla-152, Mexico-309, Negro Argel, CNF-178, Venezuela-350 and WBR22-3, WBR22-50 and WBR22-55 were ranked as good fixers.
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  • 46
    ISSN: 1573-5036
    Keywords: common bean ; foliar N ; nitrogen fixation ; N fertilizer ; 15N isotope ; Rhizobium
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Common bean (Phaseolus vulgaris L.) is able to fix 20–60 kg N ha−1 under tropical environments in Brazil, but these amounts are inadequate to meet the N requirement for economically attractive seed yields. When the plant is supplemented with N fertilizer, N2 fixation by Rhizobium can be suppressed even at low rates of N. Using the 15N enriched method, two field experiments were conducted to compare the effect of foliar and soil applications of N-urea on N2 fixation traits and seed yield. All treatments received a similar fertilization including 10 kg N ha−1 at sowing. Increasing rates of N (10, 30 and 50 kg N ha−1) were applied for both methods. Foliar application significantly enhanced nodulation, N2 fixation (acetylene reduction activity) and yield at low N level (10 kg N ha−1). Foliar nitrogen was less suppressive to nodulation, even at higher N levels, than soil N treatments. In the site where established Rhizobium was in low numbers, inoculation contributed substantially to increased N2 fixation traits and yield. Both foliar and soil methods inhibited nodulation at high N rates and did not significantly increase bean yield, when comparing low (10 kg N ha−1) and high (50 kg N ha−1) rates applied after emergence. In both experiments, up to 30 kg N ha−1 of biologically fixed N2 were obtained when low rates of N were applied onto the leaves.
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  • 47
    ISSN: 1573-5036
    Keywords: acetylene reduction ; Azospirillum ; nitrogen fixation ; para-nodulation ; plant growth regulators ; wheat
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Treatment of wheat seedlings with the synthetic auxin, 2,4-dichlorophenoxyacetic acid (2,4-d), induced nodule-like structures or tumours (termed para-nodules) where lateral roots would normally emerge. The formation of these structures promoted increased rates of acetylene reduction at reduced oxygen pressure (0.02–0.04 atm) in seedling inoculated with Azospirillum brasilense, compared to seedlings inoculated without auxin treatment. Fluorescent microscopy, laser scanning confocal microscopy and direct bacterial counts all showed that the 2,4-d treatment stimulated internal colonization of the root system with azospirilla, particularly in the basal region of the nodular structures. Both colonization with azospirilla and acetylene-reducing activity were further stimulated by simultaneous treatment with another synthetic auxin, naphthaleneacetic acid (NAA) and, less reliably, with indoleacetic acid (IAA) and indolebutyric acid (IBA). These auxins produced shortening of many initiated lateral roots, although 20 times the concentration of NAA was required to achieve rounded structures similar to those obtained with 2,4-d. Treatment with NAA, IAA or IBA alone also stimulated colonization with azospirilla and acetylene reduction rates at 0.02 atm oxygen, but less effectively than by treatment with 2,4-d. Such exogenous treatments of wheat seedlings with synthetic growth regulators provide an effective laboratory model for studies on the development of a N2-fixing system in cereals.
    Type of Medium: Electronic Resource
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