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  • Articles  (86)
  • Frankia  (59)
  • stability
  • Springer  (86)
  • 1985-1989  (86)
  • Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition  (62)
  • Mathematics  (24)
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  • Articles  (86)
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  • Springer  (86)
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  • 1
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    Journal of dynamics and differential equations 1 (1989), S. 269-298 
    ISSN: 1572-9222
    Keywords: Geometric mechanics ; reduction ; stability ; chaos ; rigid body dynamics ; periodic orbits ; 58F
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We give a complete bifurcation and stability analysis for the relative equilibria of the dynamics of three coupled planar rigid bodies. We also use the equivariant Weinstein-Moser theorem to show the existence of two periodic orbits distinguished by symmetry type near the stable equilibrium. Finally we prove that the dynamics is chaotic in the sense of Poincaré-Birkhoff-Smale horseshoes using the version of Melnikov's method suitable for systems with symmetry due to Holmes and Marsden.
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  • 2
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    Journal of dynamics and differential equations 1 (1989), S. 299-325 
    ISSN: 1572-9222
    Keywords: Commodity markets ; time delays ; stability ; Hopf bifurcation ; 34K15 ; 45J05 ; 90A16
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A model for the dynamics of price adjustment in a single commodity market is developed. Nonlinearities in both supply and demand functions are considered explicitly, as are delays due to production lags and storage policies, to yield a nonlinear integrodifferential equation. Conditions for the local stability of the equilibrium price are derived in terms of the elasticities of supply and demand, the supply and demand relaxation times, and the equilibrium production-storage delay. The destabilizing effect of consumer memory on the equilibrium price is analyzed, and the ensuing Hopf bifurcations are described.
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  • 3
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    BIT 26 (1986), S. 93-99 
    ISSN: 1572-9125
    Keywords: Primary 65HO5 ; nonlinear equation ; multiple roots ; multipoint iterative methods ; error constant ; stability ; efficiency
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A one-parameter family of derivative free multipoint iterative methods of orders three and four are derived for finding the simple and multiple roots off(x)=0. For simple roots, the third order methods require three function evaluations while the fourth order methods require four function evaluations. For multiple roots, the third order methods require six function evaluations while the fourth order methods require eight function evaluations. Numerical results show the robustness of these methods.
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  • 4
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    BIT 27 (1987), S. 424-437 
    ISSN: 1572-9125
    Keywords: 65 L 05 ; 65 L 20 ; stability ; contractivity ; numerical solution of stiff initial value problems in ordinary differential equations ; Runge-Kutta methods ; Rosenbrock methods ; rational Runge-Kutta methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper concerns the stability analysis of numerical methods for approximating the solutions to (stiff) initial value problems. Our analysis includes the case of (nonlinear) systems of differential equations that are essentially more general than the classical test equationU′=λU, with λ a complex constant. We explore the relation between two stability concepts, viz. the concepts of contractivity and weak contractivity. General Runge-Kutta methods, one-stage Rosenbrock methods and a notable rational Runge-Kutta method are analysed in some detail.
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  • 5
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    Acta applicandae mathematicae 9 (1987), S. 219-237 
    ISSN: 1572-9036
    Keywords: 34A34 ; 34D99 ; 90A16 ; Nonlinear differential equations ; stability ; growth ; economic dynamics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper analyses the implications of persistent growth upon the stability properties of dynamic models. Besides the traditional concept of asymptotic stability, new stability criteria-strong/weak absolute, strong/weak relative, strong/weak logarithmic stability-are introduced, and global stability conditions for satisfying these criteria are stated for general first-order autonomous differential equations. The conflict between rapidity of growth and the degree of stability is demonstrated. Economic applications of the stability theorems are illustrated within the growth models of Harrod and Solow.
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  • 6
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    Biology and fertility of soils 6 (1988), S. 39-44 
    ISSN: 1432-0789
    Keywords: Alnus ; Energy forestry ; Frankia ; Meadow soil ; Nitrogen fixation ; Nodulation ; Peat soil
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Geosciences , Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary Use of the N2-fixing grey alder, Alnus incana (L.) Moench, as a short-rotation crop for energy production is currently being explored. To evaluate the need for inoculation of alders, the distribution of infective propagules of Frankia in the soil at potential sites for alder plantations was examined. Uninoculated grey alder seedlings were grown in three types of soil. Frequent nodulation was found in a meadow soil which had been free from actinorhizal plants for nearly 60 years, but the alder seedlings failed to nodulate in peat soil from two different bog sites. One of these bogs had been exploited for peat and the surface layer of the peat had been removed, so that the soil samples were taken from deep layers of the peat. At the other site, an area of cultivated peat, there were no infective propagules of Frankia in plots without alders; the infective Frankia was present in plots only where it had been introduced by inoculated alders. There was no detectable air-borne dispersal of Frankia. Instead, water movement might account for the dispersal of Frankia in peat. Although the apparent absence of Frankia in these peat soils necessitates inoculation of alder seedlings before planting out, this makes it possible to introduce and maintain Frankia strains with selected beneficial characteristics, since there is no competition from an indigenous Frankia flora.
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  • 7
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    K-Theory 1 (1987), S. 185-196 
    ISSN: 1573-0514
    Keywords: Quadratic space ; patching diagram ; projective module ; stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We prove that every quadratic space of sufficiently large index contains a hyperbolic orthogonal summand.
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  • 8
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    K-Theory 2 (1988), S. 1-355 
    ISSN: 1573-0514
    Keywords: Pseudoisotopy ; stability ; Morse theory
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The stability theorem states that the suspension map C(M) → C(M X I) defined on the pseudoisotopy space C(M)=Diff(M X I rel M X O U ∂M X I) of a compact smooth n-manifold M is ∼ n/3-connected. This implies that C(M) has the R~ n/3-homotopy type of the stable pseudoisotopy space P(M) which is related to Waldhausen's algebraic K-theory of spaces by Waldhausen's formula A(X) Ω∞S∞(X+) X B2P(X). This paper gives a detailed proof of the smooth stability theorem following ideas by Hatcher for the proof of a PL stability theorem.
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  • 9
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    Acta applicandae mathematicae 4 (1985), S. 225-258 
    ISSN: 1572-9036
    Keywords: 92A15 ; Prey ; predator ; competition ; dynamical system ; ordinary differential equation ; phase diagram ; equilibrium ; trajectory ; stability ; bifurcation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We consider a problem of the dynamics of prey-predator populations suggested by the content of a letter of the biologist Umberto D'Ancona to Vito Volterra. The main feature of the problem is the special type of competition between predators of the same species as well as of different species. Two classes of cases are investigated: a first class in which the behaviour of the predator is ‘blind’ and the second one in which the behaviour is ‘intelligent’. A qualitative analysis of the dynamical systems under consideration is followed by a numerical analysis of the most significant cases.
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  • 10
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    Journal of mathematical biology 21 (1985), S. 285-298 
    ISSN: 1432-1416
    Keywords: Population dynamics ; coexistence ; mutualism ; persistence ; predator-mediated coexistence ; stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract We address the question of the long term coexistence of three interacting species whose dynamics are governed by the ordinary differential equations x i = X i f i (i = 1, 2, 3). In order for any theory in this area to be useful in practice, it must utilize as little information as possible concerning the forms of the f i , in view of the great difficulty of determining these experimentally. Here we obtain, under rather general conditions on the equations, a criterion for judging whether the species will coexist in a biologically realistic manner. This criterion depends only on the behaviour near the one or two species equilibria of the two dimensional subsystems, the behaviour there being relatively easy to examine experimentally. We show that with the exception of one class of cases, which is a generalization of a classical example of May and Leonard [21], invasibility at each such equilibrium suitably interpreted is both necessary and sufficient for a strong form of coexistence to hold. In the exceptional case, a single additional condition at the equilibria is enough to ensure coexistence.
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  • 11
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    Journal of mathematical biology 22 (1985), S. 81-104 
    ISSN: 1432-1416
    Keywords: FitzHugh-Nagumo equation ; pulse solution ; stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The FitzHugh-Nagumo equation u t =u xx +f(u)-w, u t =b(u-dw), is a simplified mathematical description of a nerve axon. If the parameters b〉0 and d⩾0 are taken suitably, this equation has two travelling pulse solutions with different propagation speeds. We study the stability of the fast pulse solution when b〉0 is sufficiently small. It is proved analytically by eigenvalue analysis that the fast pulse solution is “exponentially stable” if d〉0, and is “marginally stable” but not exponentially stable if d=0.
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  • 12
    ISSN: 1573-5036
    Keywords: actinorhizal association ; Frankia ; nitrogen-fixation ; specificity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract The present contribution covers the cross-inoculation between two actinorhizae belonging to different genera and families, mainlyAlnus glutinosa andCoriaria myrtifolia. Frankia strains isolated fromA. glutinosa received from the Netherlands (LDAgp1r1, LDAgn1) and from Scotland (UGL010708), induced a fully effective nodulation onC. myrtifolia. The same effect was caused by a nodule extract fromA. glutinosa. The reverse, a crushed-nodule inoculum fromC. myrtifolia nodulated all theA. glutinosa seedlings, though nodules formed were less effective than those induced by the other inocula. Re-isolation of thoseFrankia strains from the nodules formed onA. glutinosa was readily obtained, whereas attempts to re-isolate them from the nodules formed onC. myrtifolia failed, suggesting that isolation procedures different to those employed should be tried.
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  • 13
    ISSN: 1573-5036
    Keywords: Alnus ; compatibility ; Frankia ; grafting technique ; nitrogen fixation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Two alder species,Alnus glutinosa (L.) Gaertn. andAlnus incana (L) Moench, were inoculated with a Sp+ Frankia homogenate obtained fromA. incana root nodules. This inoculum formed effective nodules on the original host plant and ineffective nodules onA. glutinosa. Grafts between the two alder species were made to determine which part of the plant is involved in this phenomenon. The results obtained indicate that the compatibility between Alnus andFrankia is restricted to the root system.
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  • 14
    ISSN: 1573-5036
    Keywords: actinorhizae ; Casuarina cunninghamiana ; Frankia ; nitrogen fixation ; oxygen
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract The effects of time after exposure to acetylene and of nodule excision were examined using a flow-through system. After a transient depression in the rate of acetylene reduction that began about 1.5 min after exposure to acetylene, the rate recovered to 98% of the initial maximum value after 40 min. After nodule excision the rate stabilized to 90% of the initial maximum value observed in the intact plant. Excised nodules, measured at 6-min intervals in a closed system, with frequent changes of the gas mixture, were used for the remaining experiments. Acetylene reduction by the nodules increased rapidly as temperature was increased between 6 and 26°C. Between 26 and 36°C there was relatively little effect of temperature on acetylene reduction. Nodules and cultures ofFrankia were compared with respect to the effect of temperature and pO2 (partial pressure of oxygen) on oxygen uptake. Cultures ofFrankia were grown on a nitrogen-free medium at either 0.3 kPa O2 (vesicles absent) or 20 kPa O2 (vesicles present). Oxygen uptake by nodules (vesicles absent) and by vesicle-containing cultures was strongly dependent on pO2 at values below 20 kPa. This suggests the presence of a barrier to oxygen diffusion. Oxygen uptake was dependent on temperature as well as on pO2, but the Q10 was much larger for the cultures than for the nodules. This suggests that vesicles or related structures are not the source of the diffusion barrier in Casuarina nodules. Respiration by cultures ofFrankia lacking vesicles became O2-saturated at low pO2 values. Thus these cultures did not have a significant diffusion barrier. From these results it is concluded that nodules ofCasuarina cunninghamiana have a barrier to oxygen diffusion supplied by the host tissue and not byFrankia.
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  • 15
    ISSN: 1573-5036
    Keywords: Casuarina equisetifolia ; Frankia ; alginate beads ; N2 fixation ; Sénégal
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract A large scale field experiment (ca 1 ha) was carried out in Senegal, to evaluate the response ofCasuarina equisetifolia to inoculation withFrankia strain ORS 021001 entrapped in alginate beads. Biomasses (expressed as dry weight or total nitrogen) of assimilatory branchlets, wood and roots, and nodules were measured in uninoculated and inoculated trees, randomly sampled 1,2 and 3 years after transplantation in the field. When biomasses were expressed as dry weight, increases due to inoculation were similar at the three sampling dates, 45, 36 and 40%, respectively. When biomasses were expressed as total nitrogen, the response to inoculation with time was much higher in the 2nd year than in the 1st and 3rd year. N2 fixation, estimated using the difference method reached 2.48, 12.25 and 13.44 g N2 fixed annually per tree. Correspondingly, nodule dry weights, expressed in g per tree, were 2.5, 12.18 and 22.75 at the end of the 1 st, 2nd and 3rd year, respectively. In spite of the positive response of field-grownCasuarina equisetifolia to inoculation, the decrease of N2 fixation observed in the third year was probably due to unfavorable climatic conditions coupled with insect attacks at the beginning of the third year.
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  • 16
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    Plant and soil 118 (1989), S. 221-229 
    ISSN: 1573-5036
    Keywords: actinorhizal plants ; DNA-DNA hybridization ; Frankia ; pectate lyase ; pectolytic activity ; root symbiosis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Using a cup-plate pectin agar assay, pectolytic activity was detected in nodule filtrates obtained fromAlnus rugosa (DuRoi) Spreng,A. glutinosa (L.) Gaertn andA. crispa (Ait.) Pursh seedlings after infection with twoFrankia strains (ACN1 AG , CpI1). Pectolytic activity was also detected in cultures filtrates of the same twoFrankia isolates afterin vitro-cultivation on Qmod pectin liquid medium. When Southern blots of Frankia total DNAs from 3 isolates ofF. alni subsp.Pommerii (ACN1 AG , ArI3, and CPX32b) and 3 isolates ofF. elaeagni (EUN1 pec, SCN 10a and TX31e HR ) were hybridized withPelBDA probes fromErwinia chrysanthemi, positive signals were found in all 7 Frankiae tested.
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  • 17
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    Plant and soil 118 (1989), S. 199-204 
    ISSN: 1573-5036
    Keywords: biomass ; Frankia ; methods ; packed cell volume ; protein ; quantification ; turbidity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Six methods for the estimation of microbial biomass were compared for determination ofFrankia cell concentrations. Six strains ofFrankia were cultivated in stationary culture, harvested by centrifugation, washed with saline buffer and diluted to five standardized concentrations. These cell suspensions were then used to assess reliability of each of the biomass determination methods. The destructive total protein determination methods were the most sensitive and reliable. Two non-destructive methods, packed cell volume and turbidity measurement, were also accurate, and because of their simplicity hold advantage for routine growth measurements and inoculum dilutions. Dry weight determinations were inconsistent for the small cell masses used in this study. An ELISA procedure demonstrated reliability but little sensitivity.
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  • 18
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    Plant and soil 118 (1989), S. 211-219 
    ISSN: 1573-5036
    Keywords: filter hybridization ; Frankia ; in-situ hybridization ; oligonucleotide probes ; rRNA sequences
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Reverse transcriptase sequence analyses of variable regions of 16S rRNA of the nitrogen-fixing (Nif+)Frankia strain Ag45/Mut 15 and the Nif− strains AgB1.9 and AgW1.1 showed large differences in two of three variable regions between bothFrankia groups. Synthetic oligonucleotides complementary to sequences in one of these different regions were used in hybridization experiments against isolated rRNA of severalFrankia strains belonging to three compatibility groups. Ribosomal RNA of eleven effectiveFrankia strains obtained from differentAlnus species strongly hybridized with the probe against the effective strain Ag45/Mut 15 (probe EFP), whereas ineffective strains and effective strains obtained from other hosts (Elaeagnus, Comptonia, Coriaria, Hippophaë, Colletia spp.) did not hybridize. Strong hybridization was also obtained with the effectiveCasuarina strain CcI3. In the group of effective alder strains one strain showed weaker hybridization indicating small sequence differences. Different sequences were also found after hybridization with the probe against the ineffectiveFrankia strains AgB1.9 and AgW1.1 (probe IFP). Only these two strains showed hybridization. The same results were obtained byin-situ hybridizations with probe EFP, whereas hybridization with probe IFP showed crossreaction with several other strains. Tests of these probes against rRNA of several microorganisms indicate a high specificity.
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  • 19
    ISSN: 1573-5036
    Keywords: alder ; Betulaceae ; birch ; in vitro clones ; cluster ; Frankia ; genetic divergence ; RFPs ; taxonomy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract A study of restriction fragment polymorphisms of ribosomal DNA among seven actinorhizal species (Alnus spp.) and a non-actinorhizal species (Betula papyrifera Marsh.) of the Betulaceae was conducted, using a simple method for the extraction of high molecular weight restrictable nuclear DNA from leaf tissues of perennial angiosperms and nine restriction endonucleases. rDNA restriction fragments were variable within and among the species studied, and the variation noted was used to calculate the similarities and infer phenetic relationships among these members of the Betulaceae. The results confirmed the taxonomy of alder based on morphological characters, showing a clear clustering of the species ofAlnus sampled in each of the two different subgeneraAlnus andAlnobetula. Within each subgenus, the closely related taxa often classified as subspecies by their similar morphology and their ability to interhybridize, were similarly shown by restriction fragment polymorphisms to be more closely related to each other than to any other taxon. The analysis also suggested that some alder species may not be more divergent fromBetula papyrifera than from other alder species.
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  • 20
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    Plant and soil 118 (1989), S. 241-247 
    ISSN: 1573-5036
    Keywords: actinorhizae ; Casuarina ; Frankia ; nif ; genes ; RFLPs
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract The nodulation ability of variousFrankia strains isolated from the nodules of Casuarina were tested on two Casuarina species (C. equisetifolia andC. glauca), and onHippophaë rhamnoides. We found that the isolates could be separated into two groups, some of them being unable to reinfect the Casuarina host-plant but infective onH. rhamnoides. Other isolates effectively nodulated the original Casuarina host-plant. The second purpose of this study was to examine the genetic diversity among the Casuarina-isolated strains using well-characterized symbiotic genes as hybridization probes. We found a relationship between nodulation characteristics and hybridization patterns.
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  • 21
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    Plant and soil 118 (1989), S. 151-155 
    ISSN: 1573-5036
    Keywords: Alnus acuminata ; Costa Rica ; Frankia ; Glomus ; VAM
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract The objective of this study was to compare the interaction betweenFrankia and vesicular-arbuscular mycorrhizae (VAM) on the growth and N-fixing response ofAlnus acuminata seedlings under three different phosphorus levels.A. acuminata is an actinorhizal tree, commonly associated with pastures on upland areas. Seedlings were grown in sterile vermiculite, and inoculated withFrankia strain ArI3 and/or VAM (asGlomus intra-radices) under three phosphorus levels (10, 50 and 100 ppm). After 120 days differences in growth were observed at the 50 ppm P level between nodulated and non-nodulated plants; either if inoculated withFrankia+VAM or just with VAM. Interaction betweenFrankia and VAM was positive on nodule weight at 50 ppm P level. Differences in acetylene reduction, per gram of fresh nodule, were observed between and within both groups:Frankia inoculated andFrankia+VAM inoculated seedlings. InFrankia inoculated seedlings differences were observed between seedlings receiving 50 ppm P which showed higher nitrogenase activity than seedlings treated with 100 ppm P. Plants inoculated withFrankia andGlomus intra-radices at low P level (10 ppm) showed the highest acetylene reduction. It was 150% higher than the mean of the other treatments within the group, and 87% higher than the general mean of the onlyFrankia inoculated plants.
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  • 22
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    Plant and soil 118 (1989), S. 189-197 
    ISSN: 1573-5036
    Keywords: Frankia ; birch protoplasts ; in vitro co-culture ; microscopy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract The present study was undertaken to set up an experimental system in which barriers to infection of a non-host plant related to the presence of the cell wall, at the level of recognition and/or the necessity of penetrating the cell wall, might be bypassed. Co-cultures betweenFrankia alni subsp.pommerii (strain ACN1 AG ) andBetula papyrifera protoplasts were established. Betula protoplasts remained viable after 2 weeks with no substantial cell wall regeneration. Suppression of the wall barrier was not sufficient to allowFrankia infection under the conditions tested. The non-infectivity ofFrankia on Betula protoplasts may also reflect difficulties inherent to thein vitro environment, which might not permit duplication of infection mechanisms.
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  • 23
    ISSN: 1573-5036
    Keywords: actinorhizal ; Ceanothus ; Frankia ; nitrogen ; propagation ; inoculation ; nodulation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Rooted cuttings ofCeanothus griseus varhorizontalis were irrigated with 0, 10, 20, 50, 75 or 100ppm nitrogen as NH4NO3 for eight weeks prior to inoculation with infectiveFrankia. After inoculation, half of the plants for each treatment nitrogen level continued to be irrigated with the preconditioning nitrogen level and half were given no more supplemental nitrogen. For plants continuously receiving nitrogen, nodule initiation (nodule number) was inversely correlated with increasing supplemental nitrogen levels, and suppressed above 50 ppm N. Leaf nitrogen above 2% in continuous-N plants correlated with greatly reduced or suppressed nodulation. Plants maintained after inoculation without supplemental nitrogen showed influence of the prior nitrogen treatment on nodulation. Preconditioning at 50 ppm and above greatly reduced the number of nodules formed. The evidence suggests that stored internal nitrogen can regulate nodulation. Plant biomass accumulated maximally when nodulation was suppressed, at 75 and 100 ppm supplemental N applied continuously. Internode elongation during the nodulation period occurred only on nodulated plants, or in the presence of supplemental N (10 ppm and above).
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  • 24
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    Plant and soil 118 (1989), S. 205-209 
    ISSN: 1573-5036
    Keywords: actinorhizal ; Alnus rubra ; auxin ; Frankia ; IAA ; indole-3-acetic acid ; indole-3-ethanol ; nodule secretion ; phytohormone
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Indole compounds secreted byFrankia sp. HFPArI3 in defined culture medium were identified with gas chromatography-mass spectrometry (GC-MS). WhenFrankia was grown in the presence of13C(ring-labelled)-L-tryptophan,13C-labelled indole-3-acetic acid (IAA), indole-3-ethanol (IEtOH), indole-3-lactic acid (ILA), and indole-3-methanol (IMeOH) were identified. High performance liquid chromatography (HPLC) and GC-MS with selected ion monitoring were used to quantify levels of IAA and IEtOH inFrankia culture medium. IEtOH was present in greater abundance than IAA in every experiment. When no exogenous trp was supplied, no or only low levels of indole compounds were detected. Seedling roots ofAlnus rubra incubated in axenic conditions in the presence of indole-3-ethanol formed more lateral roots than untreated plants, indicating that IEtOH is utilized by the host plant, with physiological effects that modify patterns of root primordium initiation.
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  • 25
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    Plant and soil 106 (1988), S. 65-72 
    ISSN: 1573-5036
    Keywords: actinorhiza ; Alnus glutinosa ; Alnus incana ; fine sand ; Frankia ; nitrogen fixation ; nodulation ; nodulation capacity ; peat ; persistence ; pH ; spore ; survival
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Factors affecting the establishment of Alnus/Frankia symbioses were studied partly by following the survival ofFrankia strains exposed to different soil conditions, and partly by investigating the effect of pH on nodulation. TwoFrankia strains were used, both of the Sp− type (sporangia not formed in nodules). One of the strains sporulated heavily, while the other formed mainly hyphae. The strains originated fromAlnus incana root nodules growing in soils of pH 3.5 and 5.0. The optimum pH for their growth in pure culture was found to be 6.7 and 6.2, respectively. The strains were introduced into twoFrankia-free soils, peat and fine sand. Their survival, measured as the persistance of nodulation capacity using the plant infection technique, was followed for 14 months. The survival curves of the strains were similar despite the morphological differences between the strains in pure culture. The nodulation capacities declined over time both at 14 and 22°C. Survival was better in soils limed to a pH above 6 than in soils at their original pH (peat 2.9, fine sand 4.2). The effect of pH on nodule formation in Alnus seedlings by theFrankia strains was studied in liquid culture. The number of nodules increased linearly within the pH range studied (3.5–5.8). No nodules were formed at pH 3.5.
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  • 26
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    Plant and soil 104 (1987), S. 113-120 
    ISSN: 1573-5036
    Keywords: actinorhizal plants ; Frankia ; Myrica gale ; nitrogen fixation ; root nodules ; spore-negative ; spore-positive
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract The distribution of spore-positive and spore-negative root nodules ofMyrica gale L. was investigated at 34 sites throughout Maine. the sites represented a wide range of environmental conditions, including soils from organic to sand, soil pH from 3.1 to 6.4, elevations from 3 to 529 m, and average number of frost-free days per year from 80 to 162. Habitats included peatlands, streamsides and lakeshores. Spore(−) nodules dominated with 61% of the nodules examined sp(−) and 39% sp(+). Two sites were 100% sp(+), 7 sites were 100% sp(−) and the remaining 25 sites had varying proportions of both types. Overall, sp(+) and mixed sites dominated in the southern interior and coastal regions, areas with lower elevations and longer growing seasons. Spore(−) sites were located primarily in northern and western Maine, areas with higher elevations and shorter growing seasons. In all habitats occurrence of spore(+) modules was positively correlated with the average number of frost-free days per year (r=0.57 for peatlands, r=0.71 for lakeshores and streamsides). In addition, at the 21 lakeshore and streamside sites occurrence of sp(+) nodules was also positively correlated with percent organic matter in the soil (r=0.56) and negatively correlated with pH (r=−0.60). Within mixed sites sp(+) and sp(−) nodules were distribated randomly and were often closely intermingled.
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    Plant and soil 105 (1988), S. 33-40 
    ISSN: 1573-5036
    Keywords: biomass production ; Casuarina ; Frankia ; hydrogen evolution ; nitrogen content ; nitrogenase activity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Nitrogenase activity, hydrogen evolution, biomass production and nodulation were studied in threeCasuarina species,C. equisetifolia Forst.,C. glauca Sieber ex Spreng andC. obesa Miq., either inoculated with a crushed nodule inoculum prepared fromC. glauca nodules or inoculated with the pure cultureHFP CcI3. Nodulation was also studied inC. cristata Miq. inoculated with the above mentionedFrankia sources. C. equisetifolia, C. glauca andC. obesa were nodulated when inoculated with both of theFrankia inoculum, whileC. cristata was very poorly nodulated. Nitrogenase activity per plant and on a nodule dry weight basis was significantly highest inC. glauca inoculated withC. glauca inoculum after 150 days from planting. This difference decreased and at 217 days from planting there was no significant difference between the symbioses, except forC. obesa inoculated withC. glauca inoculum which showed the significantly lowest nitrogenase activity. After 150 days from planting relative efficiency of nitrogenase was lowest inC. equisetifolia inoculated withHFP CcI3 and inC. equisetifolia inoculated withC. glauca inoculum. Biomass production was similar inC. glauca inoculated withC. glauca inoculum, inC. equisetifolia inoculated withHFP CcI3 and inC. obesa inoculated withHFP CcI3 at the final harvest. The data presented here show that there is a strong interrelationship between host plant and endobiont. This interrelationship is of considerable importance when introducing Casuarina symbioses for production of fuel wood.
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  • 28
    ISSN: 1573-5036
    Keywords: acetylene reduction ; actinorhizal plants ; Alnus incana ; biomass production ; Frankia ; nitrogen fixation ; nodule type
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract The efficiency of different FinnishFrankia strains as symbionts onAlnus incana (L.) Moench was evaluated in inoculation experiments by measuring nitrogen fixation and biomass production. Since all available pure cultures ofFrankia are of the Sp− type (sporangia not formed in nodules), but the dominant nodule endophyte ofA. incana in Finland is of the Sp+ type (sporangia formed in nodules), crushed nodules of thisFrankia type were included. The Sp− pure cultures, whether originating fromA. incana orA. glutinosa, produced with one exception, similar biomass withA. incana. The highest biomass was produced with an American reference strain fromA. viridis crispa. Using Sp+ nodule homogenates fromA. incana as inoculum, the biomass production was only one third of that produced by Sp− pure cultures from the same host. Hence, through selection of the endophyte it is possible to exert a considerable influence on the productivity ofAlnus incana.
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    Plant and soil 113 (1989), S. 31-38 
    ISSN: 1573-5036
    Keywords: actinorhizae ; Alnus ; clones ; endophyte × host interaction ; Frankia ; inoculation ; symbiosis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract In greenhouse experiments plants of eightAlnus species, from various parts of the world, and from different taxonomic sections, were inoculated with threeFrankia strains in order to show any possible interaction. Mixtures in equal parts of theseFrankia strains were also tried. The growth of inoculated plants was significantly higher than of the controls, with one of the three strains being superior. Mixtures of strains generally provided higher growth than the best individual strain. No interaction betweenFrankia strains andAlnus species was detected in the young plants 60 days after inoculation. Three clones ofAlnus glutinosa were inoculated with the same pure cultures ofFrankia, without producing any interaction. Inoculation time was studied in one clone and one progeny ofAlnus glutinosa. The best results were obtained with the earlier inoculation (at sowing for the progeny and at transfer to soil for thein vitro-propagated clone). The results are discussed in terms of nursery practice and field experiments for selection in breeding programmes.
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  • 30
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    Plant and soil 112 (1988), S. 89-97 
    ISSN: 1573-5036
    Keywords: cellulase ; Frankia ; hydrolytic activity ; polysaccharide ; reducing sugar
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Studies were made of the polysaccharide-hydrolyzing activity inFrankia (Actinomycetales) grown in synthetic media using modifications of three standard assay procedures. In screening five different strains ofFrankia for cellulase activity, based on the method of utilization of cellulose in liquid culture, only one strain, CcI3, degraded filter paper cellulose to complete disintegration and only under very specific conditions of pH and primary carbon source. When carboxymethylcellulose (CMC) at 1% was used as substrate, all five strains showed the capacity to produce reducing sugars as hydrolytic products. Microcystalline cellulose, xylans and gum arabic were hydrolyzed to a lesser extent. Optimum activity depended upon pH and primary carbon source with pH 5.0 and pyruvate or propionate producing highest activities. In fractionation studies of culturedFrankia, assays for hydrolysis of 1% CMC in liquid medium showed that highest activity was in the enzyme preparation supernatant with lesser activity in the cell-free extract and cell wall fractions.Frankia strain CpI1 showed the greatest total hydrolytic activity against CMC after 2 weeks of culture. Strains ArI3 and CcI3 also showed good activity. The agar plate method for direct dye-polysaccharide interaction proved to be the least sensitive assay method with only ArI3 showing significant activity using CMC as substrate. It appears that theFranka strains grown in synthetic media all showed hydrolytic activity but the degree of hydrolysis of polysaccharides to reducing sugars depends upon strain of bacteria and very specific cultural conditions.
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    Plant and soil 100 (1987), S. 225-236 
    ISSN: 1573-5036
    Keywords: Actinorhizae ; Alnus ; Casuarina ; Frankia ; Hemoglobin ; Myrica ; Nitrogen fixation ; Root nodules
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary The concentration of total and CO-reactive heme was measured in actinorhizal nodules from six different genera. This gave the upper limit to hemoglobin concentration in these nodules. Quantitative extraction of CO-reactive heme was achieved under anaerobic conditions in a buffer equilibrated with CO and containing Triton X-100. The concentration of CO-reactive heme in nodules of Casuarina and Myrica was approximately half of that found in legume nodules, whereas in Comptonia, Alnus and Ceanothus the concentrations of heme were about 10 times lower than in legume nodules. There was no detectable CO-reactive heme in Datisca nodules, but low concentrations were detected in roots of all non-nodulating plants examined, includingZea mays. Difference spectra of CO treated minus dithionite-reduced extracts displayed similar wavelengths of maximal and minimal light absorption for all extracts, and were consistent with those of a hemoglobin. The concentration of CO-reactive heme was not correlated to the degree to which CO inhibited nitrogenase activity nor was it affected by reducing the oxygen concentration in the rooting zone. However, there was a positive correlation between heme concentration and suberization or lignification of the walls of infected host cells. These observations demonstrate that, unlike legume nodules, high concentrations of heme or hemoglobin are not needed for active nitrogen fixation in most actinorhizal nodules. Nonetheless, a significant amount of CO-reactive heme is found in the nodules of Alnus, Comptonia, and Ceanothus, and in the roots ofZea mays. The identity and function of this heme is unknown.
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    Plant and soil 104 (1987), S. 103-111 
    ISSN: 1573-5036
    Keywords: actinorhizal plants ; Alnus incana ssp.rugosa ; Frankia ; nitrogen fixation ; root nodules ; spore-negative ; spore-positive
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract The distribution of spore-positive (sp+) and spore-negative (sp−) root nodules ofAlnus incana ssp.rugosa (DuRoi) Clausen (speckled alder) was examined at 29 sites with a wide range of environmental conditions in Maine, USA. These included: pH 3.4 to 7.0, soil texture ranging from coarse gravel to clay to organic soils, elevation from 3 to 591 m and latitude 43 to 47°N. Habitat types included disturbed areas, streamsides, swamps and old fields. Sp (−) nodules were substantially more common, making up 76% of all nodules, whereas only 24% were sp (+). Sp (−) nodules often occurred in pure stands and predominated at disturbed sites with mineral soils at the surface and in old fields and swamps with pH〉4.0 Sp (+) nodules were nearly always found in mixture with sp (−) nodules. They occurred primarily at streamside and lakeshore sites where they made up 40% of the nodules and at sites with pH〈4.0 regardless of habitat type. It is suggested that sp (−) strains ofFrankia may be maintained at a site by saprophytic growth in soil and thus nodulate newly established hosts, whereas sp (+) strains may be maintained primarily by spore production within nodules and thus depend on extended presence of the host.
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    Plant and soil 93 (1986), S. 293-298 
    ISSN: 1573-5036
    Keywords: Casuarinaceae ; Frankia ; Nodulation ; Specificity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary Fifteen species from three genera of the Casuarinaceae were inoculated with suspensions ofFrankia prepared from single nodule-lobes collected from different species and genera within the Casuarinaceae. Host-endophyte specificity was expressed mainly at the generic level. There was marked cross-inoculation within Casuarina and little nodulation ofCasuarina species from Allocasuarina sources with the exception of 3 sources ofFrankia fromA. torulosa which showed a high tendency to nodulateCasuarina species. Few sources from Casuarina nodulated species of Allocasuarina and while cross-inoculation within Allocasuarina was frequent it was less marked than within Casuarina. SomeFrankia inocula had wider host ranges than others, nodulating outside the genus or series of origin. It was not possible to determine if these apparent wider ranges in host spectra reflected genotypic differences betweenFrankia or were associated with the presence of more than oneFrankia strain in some inocula.
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    Plant and soil 96 (1986), S. 347-358 
    ISSN: 1573-5036
    Keywords: Alnus ; Frankia ; Nodules ; pH acides ; Plantes à actinorhizes ; Viabilité ; Actinorhizal plant ; Alnus ; Frankia ; Low pH ; Nodules ; Viability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Description / Table of Contents: Summary TwentyFrankia strains isolated from seven actinorhizal species were cultivated on media at various pH 5; 4.8; 4.6 and 4.2. Each strain was cultivated 2 or 3 times on the same pH. Fourteen strains did not grow at pH 4.6. At pH 4.2 all the strains died after few days. The 3 acido-resistant strains grew with free Al+++ in the culture medium. Inoculated in an acidic soil, the viability of an acido-resistant strain was greater than that of a neutrophilic strain.
    Notes: Résumé Vingt souches deFrankia, isolées à partir de 7 espèces différentes de plantes actinorhiziennes ont été cultivées sur des milieux maintenus à des pH constants de 5; 4,8; 4,6 et 4,2. Chaque souche a été cultivée 2 à 3 fois consécutives à un même pH. Quatorze souches ne montrent aucune croissance à pH 5. Seules 3 souches résistent à un séjour de plusieurs semaines à pH 4,6. Aucune souche ne demeure viable après un séjour dans un milieu à pH 4,2. Les 3 souches acido-résistantes supportent également la présence d'Al+++ libre dans le milieu de culture. Une forte concentration d'H+ dans le milieu stimule beaucoup la sporogénèse. Inoculée dans un sol acide une souche acido-résistante conserve une chance de survie nettement supérieure à celle d'une souche neutrophile maintenue dans les mêmes conditions.
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  • 35
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    Euphytica 36 (1987), S. 265-273 
    ISSN: 1573-5060
    Keywords: Hordeum vulgare ; barley ; dry areas ; stress-tolerance ; stability ; bulk method ; multilocation testing
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary Using the traditional approach (selection for grain yield) it has been found that F3 families derived from F2's selected under unfavourable conditions were more vigorous in the early stages of growth, taller, earlier in heading and with larger yields than F3 families derived from F2's selected under favourable conditions. A high and negative correlation coefficient was found between the drought susceptibility index and grain yield at the driest site, whereas at the wettest site the correlation coefficients were lower and in some cases positive, indicating the existence of traits which are desirable under drought and undesirable under favourable conditions, or vice versa. Expected responses to selection for grain yield using different selection criteria indicated that selection under stress conditions is expected to be more efficient than selection under favourable conditions when dry areas is the target environment. Expected responses to selection for grain yield using different selection criteria indicated that selection under stress conditions is expected to be more efficient than selection under favourable conditions when dry areas is the target environment.
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    Euphytica 35 (1986), S. 483-492 
    ISSN: 1573-5060
    Keywords: Triticum aestivum ; grain yield components ; stability ; development ; phenology ; differentiation ; heat resistance
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary Ten to 20 spring wheat (Triticum aestivum L.) cultivars of Israeli origin were grown in three winter (normal) and two summer (abnormal) growing seasons. During the period of emergence to anthesis mean daily temperature was on the average 12°C higher and photoperiod was about 3 h longer in the summer than in the winter. Data was collected on the durations of the periods from emergence to double-ridge (GS1), double ridge to anthesis (GS2) and anthesis to grain maturation (GS3), as well as on yield and yield components. The duration of all developmental stages was reduced by high temperature. While the duration of GS2 was the most thermo-sensitive, it may also have been reduced by the longer summer photoperiod. The effect of photoperiod on GS2 could not be isolated, but the results were interpreted to show that the effect of photoperiod on the duration of GS2 was relatively small. The most heat-affected yield component was number of grains per spikelet and the least affected component was the number of spikes per plant. High temperature reduced grain weight via reduced grain growth duration and not grain growth rate. A general linear regression model of yield on its components revealed that while variation for number of spikes per plant had the greatest effect on yield variation among cultivars in the winter, variation for number of grains per spikelet and spikelets per spike were by far the most important in the summer. Grain weight was the least important component, in this respect, in all seasons. Varieties which sustained the highest yield in hot environments were able to maintain the longest duration of GS2 and the highest number of grain per spike.
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  • 37
    ISSN: 1573-5060
    Keywords: Vigna radiata ; mungbean ; stability ; genotype-environment interaction ; wide adaptability ; AVRDC ; segmented regression
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    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary Yield data from the 5th–12th international mungbean nursery (IMN) trials conducted at 23 sites in 15 countries were analyzed by conventional stability analysis—regression of genotype mean on the environmental index, and by segmented regression analysis—fitting separate linear regressions in low yielding and high yielding environments. The gene pool base concept allows comparison of genotypes from different IMN trials grown in different years and sites. A very high positive linear relationship was observed between the regression coefficient and the average yield of cultivars, indicating that high yielding cultivars were less stable across environments. When data points of the regression of genotype mean and site mean for VC 1973A, a high yielding and widely adapted cultivar, were examined, the relationship appeared not to be linear. The segmented regression analysis improved the coefficient of determination (r2) and the genotypes were grouped based on regression coefficients in high yielding and low yielding environments. Different categories of genotypes suitable for high input environments, widely adaptable genotypes, and highly stable genotypes were identified.
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  • 38
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    Plant and soil 110 (1988), S. 157-165 
    ISSN: 1573-5036
    Keywords: cell wall ; Frankia ; infection ; legume ; non-legume ; Rhizobium
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Heterotrophic nitrogen-fixing microorganisms can enter plants via wounds, root hairs or intact epidermises. All at some stage need the ability to digest primary cell walls and/or middle lamellas. None appears to digest secondary walls. The ability of any organism to infect a particular plant reflects (a) the enzymes produced by the microorganism (and possibly, as part of its reaction, the plant); (b) the exact nature of the primary wall; (c) the distribution of secondary walls. Plants may respond to infection by hypersensitive and other reactions which could be triggered by production of cell wall fragments. Infection threads of secondary wall material may be essential for root hair infection and where cell boundaries are crossed. Entry into host cells other than by infection threads involves a delicate balance between endophyte and host. This may only be achieved in one or a few cells, which may then divide repeatedly to produce a symbiotic structure.
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    Plant and soil 118 (1989), S. 13-22 
    ISSN: 1573-5036
    Keywords: Frankia ; hybridization ; nif genes ; plasmid ; RFLPs
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract One hundredFrankia strains isolated from variousAlnus species in a single alder stand were tested for plasmid presence. Plasmid DNA was observed in five of the frankiae strains and was analyzed. We found that plasmids with a similar molecular weight exhibited in fact minor divergences in restriction patterns. The genetic diversity among the five isolates which contained plasmids and seven isolates which contained no plasmid DNA were examined by using restriction endonucleas digestions, Southern hybridization ofnifHDK,nifAB genes, andFrankia cryptic DNA fragments determined ‘at random’. Results indicate that genomic DNA digestion patterns and Southern hybridizations to anifHDK probe were not able to discriminate between closely related frankiae. On the other hand, plasmid presence, Southern hybridization to anifAB proble or to a crypticFrankia probe allowed us to delineate groupings of these isolates.
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  • 40
    ISSN: 1573-5036
    Keywords: actinorhizal plants ; Allocasuarina ; Casuarina ; Frankia ; nitrogen fixation ; nodules ; symbiosis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Sandy alluvial soils in a floodplain supporting a native stand ofCasuarina cunninghamiana Miq. produced about three times as many nodulated seedlings and more than twice as many nodules per nodulated seedling on roots of baitedCasuarina spp. than did clay loam red earth soils from the adjacent valley slope. Moist and well-aerated subsurficial alluvial sands had the greatest nodulation capacity of all the soils sampled. For all topographic positions, soil samples from depths greater than 20 cm promoted 76% more nodulated Casuarina seedlings than samples from the surficial 20 cm. Seedlings of three provenances ofC. cunninghamiana, together with seedlings ofC. glauca Sieb. ex Spreng.,C. cristata F. Muell ex Miq. andC. obesa Miq. developed significantly more nodules per pot and nodules per nodulated seedling in soils from this locale than seedlings of twoCasuarina equisetifolia Forst. provenances. Seedlings of two provenances ofAllocasuarina torulosa (Ait.) L. Johnson had fewer than 1% nodulated seedlings, a significantly lower level by far than that ofCasuarina seedlings.A. torulosa provenances also had significantly fewer nodulated seedlings per pot and nodules per nodulated seedling than all Casuarina hosts excepting one poorly-nodulated provenance ofC. equisetifolia. Nodulated seedlings of allCasuarina species had the capacity to fix atmospheric N2, as indicated by acetylene-reduction capability. The presence of yellow cladodes and low rates of acetylene reduction per plant forC. cristata Miq. suggest that this association was poorly effective.
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  • 41
    ISSN: 1573-5036
    Keywords: Alnus incana ; field ; Frankia ; growth ; intact plants ; nitrogenase activity ; nitrogen fixation ; photosynthesis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract The nitrogen-fixing grey alder,Alnus incana (L.) Moench, has a potential use in forest soil restoration and as part of energy forestry plantations. As a first step to estimate nitrogen fixation byA. incana under field conditions we performed studies on nitrogenase activity and its possible relation to abiotic factors and growth of the alders. Nitrogenase activity was measured as acetylene reduction activity (ARA) on eleven 1-year-old seedlings ofA. incana inoculated with a local source ofFrankia and planted in an experimental plot located in Umeå, northern Sweden. Each alder was planted into an open-ended cylinder which was closed with a gas tight lid around the stem base to serve as cuvette during ARA measurements. Propane served as tracer gas. ARA was measured in the middle of the day at 15 occasions during 26 June to 29 September 1987. Growth was recorded as leaf area and top shoot length at each ARA measurement until the end of August. Weather conditions were recorded for the whole growing season. Maximal ARA was recorded in late July or early August and ranged from 1.86 to 106μmol C2H4plant−1h−1. Final leaf area ranged from 0.022 to 0.124 m2. A relationship between ARA and the number of hours of sunshine during the same day was observed. ARA in relation to soil temperature increased during the study period, except for the last measurements. ARA in relation to leaf area was initially high but decreased later on. It is suggested that as leaves got older their contribution to photosynthesis per unit leaf area decreased and their potential to deliver nitrogen for retranslocation within plant increased. Both of these events would cause reduced ARA per unit leaf area. The data on ARA, growth, and abiotic factors taken together supported the view that sunshine and weather conditions affected photosynthesis and thereby delivery of assimilates to the nodules.
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    Plant and soil 118 (1989), S. 75-87 
    ISSN: 1573-5036
    Keywords: actinorhiza ; Frankia ; Myrica gale ; nitrogenase activity ; nodule respiration ; spore-negative ; spore-positive
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract The physiology of spore-negative and spore-positive root nodules was investigated inMyrica gale L. grown in water culture in a growth chamber. Spore(−) nodules were induced withFrankia cultures and spore(+) nodules with crushed nodules. Gas exchange was measured in a flow-through system. The time course of acetylene reduction following addition of acetylene was essentially the same in both spore(−) and spore(+) nodules with a stable maximum between 2 and 4 minutes followed by a steep decline to a minimum (37% of the maximum) between 9 and 30 minutes depending on the plant. The minimum was followed by a partial recovery. Nodule CO2 evolution showed a similar pattern but the minimum rate (83% of the maximum) was not nearly as low. Plants nodulated with one spore(−) and one spore(+) strain were compared at 6, 8 and 10 weeks after inoculation. At 6 weeks the spore(−) plants had 52% greater specific nitrogenase activity and 46% more biomass than the spore(+) plants. At 8 and 10 weeks, however, the differences between plants with spore(−) and spore(+) nodules became smaller. Plants nodulated with 4 spore(−) and 5 spore(+) strains were compared at 8 weeks after inoculation. Collectively the spore(−) plants exhibited a 32% greater specific nitrogenase activity, a 15% lower energy cost of nitrogenase activity (CO2/C2H4), and invested 31% less biomass in nodules than the spore(+) plants. The spore(−) plants also produced 16% more biomass indicating that spore(−) strains are generally more desirable than spore(+) strains. However, two spore(+) strains were as effective as the spore(−) strains.
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    Plant and soil 118 (1989), S. 145-150 
    ISSN: 1573-5036
    Keywords: Alnus incana ; Frankia ; Glomus fasciculatus ; multiple symbiosis ; Paxillus involutus
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Alnus incana seedlings were successfully inoculated with an endomycorrhizal fungus (Glomus fasciculatus), an ectomycorrhizal fungus (Paxillus involutus) and an isolate ofFrankia (ACN1) simultaneously. The effects of the inoculation treatments on the growth performance of the seedlings were evaluated under controlled conditions. The overall growth performance of the seedlings inoculated with the three organisms was better than those inoculated withFrankia, G. fasciculatus andP. involutus individually or withFrankia+G. fasciculatus andFrankia+P. involutus combinations. The highest growth performance and mycorrhizal infection occurred when the seedlings were inoculated simultaneously withFrankia+G. fasciculatus+P. involutus.
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    Plant and soil 118 (1989), S. 157-164 
    ISSN: 1573-5036
    Keywords: Allocasuarina ; Casuarina ; Frankia ; Gymnostoma ; host specificity ; root nodulation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Pure cultured isolates ofFrankia made from root nodules of plant species from among three genera of the host family Casuarinaceae were used in inoculation trials of seedlings grown in water culture. A large number of host species among the genera Allocasuarina, Casuarina and Gymnostoma from Australia, Papua New Guinea and other South Pacific Islands were tested. The most widely infectiveFrankia strains were CcI3 and AllI1; theFrankia strains with the narrowest host range within the Casuarinaceae were CcI2 and GpI1. Intrafamily cross-inoculations were uncommon. The most broadly receptive host species wasG. papuanum. For many species ofAllocasuarina tested, no infection by anyFrankia available for testing could be observed.
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    Plant and soil 118 (1989), S. 165-170 
    ISSN: 1573-5036
    Keywords: Casuarinaceae ; cross-inoculation ; Frankia ; Gymnostoma papuanum ; infectivity ; isolation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract A strain ofFrankia was isolated fromGymnostoma papuanum(Casuarinaceae) nodules harvested from rooted cuttings which had been inoculated with a suspension of crushedCasuarina equisetifolia nodules. Designated HFPGpI1 (catalogue #HFP021801), this strain is pigmented and similar to other pigmentedFrankia strains in cultural characteristics. A previously unknown spiraled hyphal morphology was observed at very low frequency in some cultures of this strain. HFPGpI1 is infective and effective onG. papuanum but not on anyCasuarina species tested. It also infects members of the family Elaeagnaceae andMyrica gale. The host plantG. papuanum can be infected with a wide range ofFrankia isolates and thus can be considered a promiscuous host, unlike its close relatives in the genera Casuarina and Allocasuarina which are very restrictive as to which strains may nodulate them.
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  • 46
    ISSN: 1573-5036
    Keywords: actinorhizae ; Casuarina ; Frankia ; isolation ; nitrogen fixation ; spores
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Four species of Casuarina were raised in the glasshouse and inoculated with nodules collected from nine different geographical areas within Australia. Isolations ofFrankia were attempted from 10 of the Casuarina-Frankia nodule combinations using two methods, a nodule dissection and a filtration method. With both techniquesFrankia isolates were obtained from four of the 10Frankia sources. Spores were not observed in sections of nodules from the four sources from whichFrankia was isolated, whereas spores were observed in the remaining six nodule sources. For selected nodule sources a range of isolation media were tried, but no improvement in the isolation success rate was achieved. The effect of host species on ease of isolation was studied. The results obtained suggested it was theFrankia strain and not the host plant species which determined the ease of isolation from Casuarina nodules.
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  • 47
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    Plant and soil 87 (1985), S. 49-60 
    ISSN: 1573-5036
    Keywords: Actinorhizae ; Alnus ; Frankia ; Nitrogen fixation ; Plasmids ; Restriction analysis ; Symbiosis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary After the initial screening of more than 200Frankia strains, the plasmid DNA observed in eight Frankiae was analyzed.In situ lysis was performed to obtain an estimate of their copy number and molecular weight. Four plasmid classes were distinguished, 7–9, 18–20, 30–35 and 50–55 kb. Twelve plasmids were thus analysed with restriction enzymes to determine their plasmid restriction patterns. While someFrankia plasmids with comparable molecular weights were found to be heterologous in their restriction enzyme pattern, an 8 kb plasmid found in bothFrankia sp. ArI3, isolated fromAlnus rubra andFrankia sp. CpI1 isolated fromComptonia peregrina showed undistinguishable ‘fingerprints’. Furthermore, an 18 kb plasmid found in the same two strains, also showed homologous restriction enzyme patterns. However, the copy numbers of the two ArI3 plasmids were higher than those of the CpI1 plasmids. Similarly, strains ACN1AG, $$TX41_{b^--- }^{AC} and TX38_{b^--- }^{AC} $$ , isolated fromAlnus crispa all contained a 50 kb plasmid, and the three plasmids were found upon restriction analysis to be undistinguishable. In one strain, ARgX17c isolated fromAlnus rugosa, it was found through restriction enzyme analysis that two plasmids of a similar molecular weight were in fact heterologous. The possible origin of the homologous plasmids and their potential as specificFrankia markers to be used in ecological studies are discussed.
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  • 48
    ISSN: 1573-5036
    Keywords: Actinorhiza ; Activated charcoal effect ; Casuarina endophytes ; Frankia
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary AFrankia strain (ORS 021001) isolated fromCasuarina junghuhniana root nodules was shown to produce four type of structuresin vitro: vegetative hyphae, sporangiospores within sporangia, N2-fixing vesicles, and a fourth type of structure which is described in detail in this report. Structures of this latter type which we propose to call ‘reproductive torulose hyphae: (RTH) result from enlargement and multiple segmentation of vegetative hyphae into torulose chaions of spore-like cells. RTH differ from sporangia in three major aspects: morphology, morphogenesis and outgrowth. RTH play an important role in survival and reproduction ofFrankia strain ORS 021001. Adding activated charcoal to the nutrient medium promotes the formation ofFrankia colonies orginating from RTH.
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  • 49
    ISSN: 1573-5036
    Keywords: Acetylene reduction ; Alnus rubra ; Electrophoresis ; Endophyte ; Frankia ; Immunodiffusion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary A spontaneous variant, obtained from aFrankia isolate fromAlnus rubra nodules, was compared with the parent strain with regard to infectivity, nitrogenase activity, and electrophoretic and immunological profiles. Both the parent and the variant strain were equally effective in inducing nodulation in seedlings ofA. rubra. All inoculated plants had an active nitrogenase system as measured by the acetylene reduction assay. Electrophoresis of whole cell homogenates on SDS-polyacrylamide slab gels showed similar electrophoretic profiles; however, the variant strain also exhibited striking differences in protein patterns that distinguish it from the parent strain. Immunological analysis of the originalFrankia strain and its variant revealed shared antigens as well as immunologically distinct antigenic determinants in the two strains. The variant strain exhibits a distinct morphology and growth patterns which remain stable after many passages through culture.
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  • 50
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    Plant and soil 87 (1985), S. 43-48 
    ISSN: 1573-5036
    Keywords: Frankia ; Genomic DNA ; Restriction analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary Total genomic DNAs ofFrankia isolates were subjected to restriction enzyme digestion and subsequent agarose gel electrophoresis. Restriction fragment banding patterns were unique for each isolate and may therefore be used as a method to distinguish between isolates which may be morphologically indistinguishable. This method might be useful for practical purposes such as tracing specificFrankia strains during field studies.
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  • 51
    ISSN: 1573-5036
    Keywords: Actinorhizal plants ; Adventitious roots ; Flooding responses ; Frankia ; Myrica gale ; Nitrogenase ; Nitrogen content ; Root nodules
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary Spring flooding was investigated as a possible limiting factor in the development of nitrogenase activity, root growth, and shoot growth inMyrica gale. Dormant, one year oldMyrica gale plants were placed in a greenhouse in early April and given three treatments: control (not flooded), flooded-water (flooded with water to 2.5 cm above the soil level) and flooded-peat (flooded with water-saturated peat to 4.0 cm above the soil level). Nitrogenase activity was absent at budbreak but appeared concurrently with the differentiation of vesicles by theFrankia sp. endophyte. Flooding delayed the onset of nitrogenase activity, substantially reduced the specific nitrogenase activity of the nodules, and also severely limited the production of the new nodule biomass. Consequently by 67 days past budbreak nitrogenase activity was much greater in the control plants (5.55±0.42 μmol C2H4/plant.h; $$\bar x$$ ± SE; N=9) than in the flooded-water (1.18±0.29) and flooded-peat (0.15±0.05) plants. Production of new secondary roots was substantially reduced in the flooded plants but adventitious roots were rapidly produced along the flooded portion of the stem in the better aerated zone near the surface. New nodules formed on several adventitious roots by 67 days indicating that the plants are able to replace their largely nonfunctional deeply flooded nodules with new nodules in the aerobic zone. Initially shoot growth was unaffected by flooding but by 67 days the flooded plants had substantially less leaf biomass, lower leaf and stem nitrogen concentrations, and less total shoot nitrogen content than the control plants.
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  • 52
    ISSN: 1573-5036
    Keywords: Alnus rubra ; ArI3 ; Diffusion ; Energy cost ; Frankia ; Nitrogenase ; Oxygen ; Red alder ; Temperature
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary Using a root nodule cuvette and a continuous flow gas exchange system, we simultaneously measured the rates of carbon dioxide evolution, oxygen uptake and acetylene reduction by nodules ofAlnus rubra. This system allowed us to measure the respiration rates of single nodules and to determine the effects of oxygen concentration and temperature on the energy cost of nitrogen fixation. Energy cost was virtually unchanged (2.8–3.5 moles of carbon dioxide or oxygen per mole of ethylene) from 16 to 26°C (pO2=20 kPa) while respiration and nitrogenase activity were highly temperature dependent. At temperatures below 16°C, nitrogenase activity decreased more than did respiration and as a result, energy cost rose sharply. Acetylene reduction ceased below 8°C. Inhibition of nitrogenase activity at low temperatures was rapidly reversed upon return to higher temperatures. At high temperatures (above 30°C) nitrogenase activity declined irreversibly, while respiration and energy cost increased. Energy cost was nearly unchanged at oxygen partial pressures of 5 to 20 kPa (temperature of 20°C). Respiration and nitrogenase activity were strongly correlated with oxygen tension. Below 5 kPa, acetylene reduction and oxygen uptake decreased sharply while production of carbon dioxide increased, indicating fermentation. Fermentation alone was unable to support nitrogenase activity. Acetylene reduction was independent of oxygen concentration from 15 to 30 kPa. Nitrogenase activity decreased and energy cost rose above 30 kPa until nearly complete inactivation of nitrogenase at 70–80 kPa. Activity declined gradually, such that acetylene reduction at a constant oxygen concentration was stable, but showed further inactivation when oxygen concentration was once again increased. Alder nodules appear to consist of a large number of compartments that differ in the degree to which nitrogenase is protected from excess oxygen.
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  • 53
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    Plant and soil 87 (1985), S. 143-152 
    ISSN: 1573-5036
    Keywords: Actinorhizae ; Elaeagnus angustifolia ; Frankia ; In vitro propagation ; Nitrogen fixation ; Nodulation ; Russian Olive ; Tissue culture
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary Following the evaluation of the nutritional requirements for thein vitro propagation ofElaeagnus angustifolia, this actinorhizal species was routinely multiplied on MS, supplemented with 100 mM sucrose and 5 μM kinetin. On this medium, at a 3 week-interval, a multiplication rate of 5–10 was observed. A morphological variant occurred in culture (wet type) but it was converted into the normal type (pubescent type) by a passage on 1/2 macro MS and 1.5% agar. One hundred percent rooting was achieved in liquid medium containing 1/2 MS without growth regulators. The plantlets were transferred aseptically to a nitrogen-free artificial soil substrate and inoculated with pure cultures of differentFrankia strains which had been isolated from Elaeagnus, Shepherdia and Hippophae host plants. We thus ascertained that afterin vitro propagation, the plants retained their capacity to nodulate and sustain nitrogen fixation.
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  • 54
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    Plant and soil 87 (1985), S. 161-173 
    ISSN: 1573-5036
    Keywords: Alnus ; Frankia ; Nodulation ; Seed germination ; Seedling
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Methods for production of containerized seedlings ofAlnus species were developed which permit nitrogen-fixing nodules to form on the root systems prior to outplanting, in order to provide an early nitrogen input during seedling establishment. The methods are based on procedures for inoculating root systems with suspensions ofFrankia (Actinomycetales), applied either directly in the container cell as a soil drench at the time of seeding, or as a root dip for seedlings transplanted into the containers. Germination of dried, stored seed was enhanced by light and by presoaking for 16 h in water. Pretreatments to overcome seed dormancy or to eliminate fungal pathogens did not further enhance germination. Some loss of seedlings was recorded in the early stages of growth shortly after germination, which is a factor in calculating projected seedling yield. Nodulation and seedling growth were evaluated in terms of growth media characteristics. Seedlings performed well in peat-vermiculite, at soil pH between 5.5 and 8.0.
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  • 55
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    Plant and soil 87 (1985), S. 153-160 
    ISSN: 1573-5036
    Keywords: Actinorhizal ; Alnus rubra ; Frankia ; Inoculation ; Root nodule ; Symbiosis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary The inoculation ofAlnus rubra (red alder) withFrankia sp. can lead to a highly efficient symbiosis. Several factors contribute to the successful establishment of nitrogenfixing nodules: (1) quantity and quality ofFrankia inoculant; (2) time and method of inoculation; (3) nutritional status of the host plant.Frankia isolates were screened for their ability to nodulate and promote plant growth of container-grown red alder. Inoculations were performed on seedlings and seeds. Apparent differences in symbiotic performance could be seen when seeds or seedlings were inoculated. Plants inoculated at planting performed significantly better than those inoculated four weeks later in terms of shoot height, nodule number and shoot dry weight. If inoculation was delayed further, reduction in shoot height, nodule number and shoot dry weight resulted. The effect of fertilizer was also investigated with regard to providing optimal plant growth after inoculation. Plants receiving 1/5 Hoagland's solution minus nitrogen showed maximal plant growth with abundant nodulation. Plants receiving 1/5 Hoagland's solution with nitrogen showed excellent plant growth with significantly reduced nodulation.
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  • 56
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    Plant and soil 88 (1985), S. 275-279 
    ISSN: 1573-5036
    Keywords: Casuarina equisetifolia ; Frankia ; Nodulation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary Studies using inoculum suspensions prepared from single nodules of Casuarinaceae suggest that more than oneFrankia strain may be found in some nodules. Evidence is also presented to support the concept of intergeneric specificity in host-Frankia relations in the family Casuarinaceae.
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  • 57
    ISSN: 1573-5036
    Keywords: Alnus rubra ; Alnus glutinosa ; Fatty acids ; Frankia ; Nitrogen fixation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary Alnus species are used widely in Britain for land reclamation, forestry and other purposes. Rapid juvenile growth of the AmericanAlnus rubra makes it an attractive species for planting on N-deficient soils, particularly those of low organic content. In small plot trials, this species is nodulated by indigenous soil frankiae as effectively asAlnus glutinosa. Over a three year period both species return similar amounts of N to the ecosystem, estimated at up to 10–12 kg N ha−1. Several strains ofFrankia have been isolated from local (Lennox Forest)A. rubra nodules. These differ morphologically and in their growth on different culture media, both from each other and fromA. glutinosa nodule isolates. AllAlnus isolates, however, have a total cellular fatty acid composition qualitatively similar to some other Group B frankiae. Glasshouse tests in N free culture suggest thatA. rubra nodules formed after inoculation of seedlings with American spore (−) isolates are three times more effective in N fixation than those inoculated with LennoxA. rubra spore (+) nodule homogenates. By contrast, the early growth of seedlings inoculated with spore (−)Frankia strains suggests at best a 35% improvement in N fixing activity over seedlings inoculated with LennoxA. rubra nodule isolates. Nevertheless, this improvement in activity, together with the better performance of seedlings inoculated with isolates compared with those treated with crushed nodule preparations, suggest that it would be worthwhile commercially to inoculate nursery stock with a spore (−)Frankia strain.
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  • 58
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    Plant and soil 90 (1986), S. 429-453 
    ISSN: 1573-5036
    Keywords: Actinorhizae ; Frankia ; Genetics ; Nitrogen fixation ; Nodulation ; Symbiosis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
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  • 59
    ISSN: 1573-5036
    Keywords: Casuarina ; Frankia ; Nitrogenase
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary The optimum conditions for growth ofFrankia sp. HFPCcI3 isolated fromCasuarina cunninghamiana, were studied in batch culture using defined media. Maximum growth (doubling time was 24 h)_was achieved at 33°C and at pH 6.3 with pyruvate and NH 4 + as the sole C and N sources, respectively. Removal of NH 4 + from the culture medium resulted in vesicle differentiation which was paralleled by induction of acetylene reduction activity. Growth on atmospheric N2 was optimal with combined pyruvate and glucose as the carbon sources and displayed a doubling time of about 48 h. Comparisons in growth and N2-fixing activity ofFrankia strains grown in a variety of cultural conditions demonstrate the range of behavior among the strains.
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  • 60
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    Plant and soil 91 (1986), S. 43-49 
    ISSN: 1573-5036
    Keywords: Alnus incana ; Frankia ; Leaf litter ; Nitrogen fertilization ; Nitrogen fixation ; Root exudation ; Root litter ; Shoot litter
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary A pot experiment withAlnus incana (L.) Moench growing in sand was set up to compare the amounts of nitrogen released from plants shoot litter with that released below ground as root litter and/or root exudation. No nitrogen fixation by free-living microorganisms was found in the sand and the increased nitrogen content of the plant + soil system was therefore due to nitrogen fixation byFrankia in the alder root-nodules. Most of the nitrogen released from the plants was in the nitrogen-rich leaf and other shoot litter. Only small amounts of nitrogen were found in the drainage water from the pots and were recorded as increased nitrogen content of the sand.
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  • 61
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    Plant and soil 91 (1986), S. 147-160 
    ISSN: 1573-5036
    Keywords: Cowania ; Frankia ; Microbial ecology ; Nitrogen fixation ; Purshia ; Revegetation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary Nitrogen fixing trees and shrubs may be useful in revegetation efforts. The possibility that soil and environmental factors may influence a soil's capability to produce nodulated seedlings was explored.Purshia tridentata andCowania mexicana var. Stansburiana seedlings were grown in greenhouse trials using ten soils from native sites for each of the two genera. Treatments included a control and a six mmole nitrogen amendment as NH4NO3 for both surface and subsurface samples. Nodulation was often sparse for seedlings grown in surface collected samples. Although nodulation was usually better in subsoil samples, even some subsoils produced few or no nodules. Nitrogen additions inhibit nodulation and although soil nitrogen may be inhibitory in some unamended surface soils it is probably not a general cause of sparse nodulation. Nodule masses showed the same trends as nodule number but varied less with treatment and depth of soil source. Seedlings compensated for sparse nodulation with an increase in mass per nodule. Incidence of nodulation was related to some soil and environmental factors. Multiple regression analysis explained a substantial portion of nodulation variability. Soils from lower elevations with less precipitation did not produce well nodulated seedlings even in well watered greenhouse trials. Micronutrient cations, potassium, and phosphorus are positively correlated with nodulation incidence. The two genera were generally similar in nodulation responses to soil and environmental factors.
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  • 62
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    Acta applicandae mathematicae 14 (1989), S. 125-133 
    ISSN: 1572-9036
    Keywords: 92A07 ; stationary solution ; immune response ; stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Some results connected with a simple mathematical model of infectious disease are discussed in order to demonstrate the approach to the modelling of such real processes. A more complicated model of antiviral immune response is presented. A new modification of this model in which targets for the viruses are immunocompetent cells is suggested.
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    Acta applicandae mathematicae 15 (1989), S. 211-234 
    ISSN: 1572-9036
    Keywords: 70F99 ; 70K20 ; 73C02 ; 35P30 ; Flexible body ; Lagrangian and Hamiltonian dynamics ; stability ; partial differential equations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We analyse here the equations of motion of a planar body consisting of a rigid body with attached flexible rod. These equations take the form of coupled ordinary and partial differential equations. We analyse the equations both with and without centrifugal stiffening effects. Using the ‘energy-momentum’ method, we analyse nonlinear stability of the equilibria in each case. We also analyse the Hamiltonian and Poisson bracket structure of the system as well as the energy-momentum map and associated relative equilibria.
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  • 64
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    New forests 1 (1987), S. 225-230 
    ISSN: 1573-5095
    Keywords: Actinorhiza ; alder ; tissue culture ; Frankia
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Clonal micropropagation was demonstrated as feasible on a commercial basis for several clones of five Alnus species. Approximately 60,000 ready-to-root individual shoots were multiplied in vitro on modified MS medium supplemented with 2.5–5 μM BAP. A total of 15,500 shoots from different clones were rooted in vitro on half strength MS medium including 1–5 μM IBA. They were transferred under mist conditions within a growth chamber illuminated with high pressure sodium lamps. Those conditions gave 99–100% plantlet survival after four weeks. Plantlets were then inoculated with selected Frankia sp. strains. These nodulated alder plants are under field evaluation at the Petawawa National Forestry Institute, Canadian Forestry Service in Chalk River, Ontario.
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    Plant and soil 96 (1986), S. 205-213 
    ISSN: 1573-5036
    Keywords: Actinorhizal plants ; Alnus glutinosa ; Alnus incana ; Frankia ; Nitrogen fixation ; Nodules
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary The distribution of spore positive (Sp+) and spore negative (Sp−) nodules on the two native alder species (A. incana andA. glutinosa) in Finland was investigated. Nodules were collected throughout the country from different ecosystems (forests, swamps, lake- sea- and riversides, old pastures and fields as well as from alder plantations). OnA. incana Sp+ nodules predominated, whereas onA. glutinosa the vast majority of the nodules were of the Sp− type. Sp+ nodules onA. glutinosa were found only at sites where the two alder species grew close together. This distribution pattern indicates an association of nodule type with alder species, the reasons for which are discussed. Indications of saprophytic growth in the Sp− strain were also found.
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  • 66
    ISSN: 1573-5036
    Keywords: acid brown earth ; Alnus glutinosa ; Alnus rubra ; Frankia ; nitrogen fixation ; nodule ; peat
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract The effects of soil type (an acid peat and 2 acid brown earths) andFrankia source (3 spore-positive crushed nodule inocula and spore-negative crushed nodules containing the singleFrankia ArI5) on nodulation, N content and growth ofAlnus glutinosa andA. rubra were determined in a glasshouse pot experiment of two years duration. Plants on all soils required additional P for growth. Growth of both species was very poor on peat withA. glutinosa superior toA. rubra. The former species was also superior toA. rubra on an acid brown earth with low pH and low P content. Some plant-inoculum combinations were of notable effectivity on particular soils but soil type was the major source of variation in plant weight. Inoculation with crushed nodules containingFrankia ArI5 only gave poor infection of the host plant, suggesting that inoculation with locally-collected crushed nodules can be a preferred alternative to inoculation withFrankia isolates of untested effectivity. Evidence of adaptation ofFrankia to particular soils was obtained. Thus, while the growth of all strains was stimulated by mineral soil extracts, inhibitory effects of peat extracts were more apparent with isolates from nodules from mineral soils than from peat, suggesting that survival ofFrankia on peat may be improved by strain selection.
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  • 67
    ISSN: 1573-5036
    Keywords: actinorhizae ; Alnus ; Frankia ; nitrogen-fixation ; xerotolerance
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract The osmotolerance, rather than the halotolerance, of the endosymbiont predicted the xerotolerance of acetylene reduction by Alnus nodulated withFrankia ARgP5 AG . Cloned plants ofAlnus glutinosa (L.) Gaertn. AG8022-16 were subjected to water stress under controlled conditions in an environmental growth chamber. Transpiration, stomatal conductance, and leaf water potential had decreased after successive 10 day periods of moderate (75% of water demand) and severe (50% of water demand) water stress. After severe stress had wilted the plants, reducing leaf water potential to −2.10 MPa, nitrogenase activity had fallen to 2.51 μM per plant per hour. The reported rapid turnover of nitrogenase implies thatFrankia mycelium was metabolically active at this low water potential, a water potential at which no Alnus-derivedFrankia has been reported active. Although ARgP5 AG was similar to other such strains in halotolerance (lower limitca.−1.25 MPa), the low water potential limit for growth with glucose (a non-assimilated osmoticum) wasca.−2.53 MPa. Nitrogenase activity was apparently more limited by host xerotolerance than by endophyte xerotolerance.
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    Plant and soil 118 (1989), S. 97-109 
    ISSN: 1573-5036
    Keywords: diffusion ; diffusion-resistance ; Frankia ; oxygen ; periderm
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract When excised root nodules ofCoriaria arborea are assayed for nitrogenase activity at various pO2 they show a broad optimum between 20 and 40 kPa O2, with some evidence for adaptation. Continuous flow assays of nodulated root systems of intact plants indicate that Coriaria shows an acetylene induced decline in nitrogenase activity. When root systems were subject to step changes in pO2 nitrogenase activity responded with a steep decline followed by a slower rise in activity both at lower and higher than ambient pO2. Thus Coriaria nodules are able to adapt rapidly to oxygen levels well above and well below ambient. Measurement of nodule diffusion resistance showed that the adaptation is accompanied by rapid increase in resistance at above ambient pO2 and decrease in resistance at below ambient pO2. Plants grown with root systems at pO2 from 5–40 kPa O2 did not differ in growth or nodulation. The anatomy of Coriaria nodules shows they have a dense periderm which encircles the nodule and also closely invests the infected zone. The periderm is both thicker and more heavily suberised in nodules grown at high pO2 than at low pO2. Vacuum infiltration of India ink indicates that oxygen diffusion is entirely through the lenticel and via a small gap adjacent to the stele.
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    Plant and soil 118 (1989), S. 119-123 
    ISSN: 1573-5036
    Keywords: actinorhizal nodules ; Casuarina cunninghamiana ; Frankia ; nitrogen fixation ; oxygen
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract The gas diffusion pathway in nodules was traced by vacuum infiltration with India ink or aniline blue and by electron microscopy. India ink infiltration was observed in the outermost and the innermost cortex in sliced nodules, but not in intact nodules. With aniline blue infiltration, it was observed that intercellular air spaces in the outermost and the innermost cortex were connected to those in nodule roots. No air spaces were in contact with walls of infected cells, although intercellular air spaces existed in some groups of uninfected cells within the infected zone. Infiltration with either India ink or aniline blue could not be observed in the infected zone in essentially all cases. Thus it is suggested that the discontinuity of the intercellular air spaces represents a major resistance to O2 diffusion in nodules ofCasuarina cunninghamiana.
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    Plant and soil 87 (1985), S. 1-16 
    ISSN: 1573-5036
    Keywords: Allocasuarina ; Casuarina ; Frankia ; Nitrogen fixation ; Nodulation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary Seedlings ofCasuarina spp. andAllocasuarina spp. were grown from seed in the greenhouse and inoculated with a nodule suspension fromC. equisetifolia. Plants ofCasuarina spp. nodulated regularly and were effective in nitrogen-fixation. Only one species ofAllocasuariona, A. lehmanniana formed root nodules. Using these plants as source of inoculum, the isolation of a newFrankia sp. HFPA11I1 (HFP022 801) was made and the strain was grown in pure culture.Frankia sp. HFPA11I1 grows well in a defined medium and shows typical morphological characteristics. In media lacking combined nitrogen, the filamentours bacterium forms terminal vesicles in abundance and differentiaties large intrahyphal or terminal sporangia containing numerous spores. This strain, used as inoculum, nodulates effectively seedlings ofC. equisietifolia andC. cunninghamiana, forming nodules with verically-growing nodule roots. Although effective in acetylene reduction, the endophyte within the nodules is filamentous and lacks veiscles. When used to inoculated seedlings ofA llocasuarina lehmanniana, Frankia sp. HFPA11I1 induces root nodules which are coralloid and lacking nodule roots. The nodules are effective in acetylene reduction and the filamentous hyphae ofFrankia within the nodule lobes lack vesicles. Effective nodulation inA. Lehmanniana depends upon environmental conditions of the seedlings and proceeds much more slowly than in Casuariana.
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  • 71
    ISSN: 1573-5036
    Keywords: Alnus glutinosa ; Frankia ; Microcarriers ; Nodulation ; Spot inoculation ; Symbiosis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary The early biochemical and structural events associated with the infection of Alnus byFrankia are still largely unknown. These studies have been hampered by the difficulty of localizing precisely the site of inoculation on the root surface and of standardizing the inoculum dose. To facilitate these investigations, we describe a new spot inoculation method wellsuited to study the Alnus-Frankia system. This method involves the growth ofFrankia in the presence of microcarrier and their subsequent deposition on the alder root surface as an inoculum dose. The ability of this new procedure to induce nodulation close to the point of inoculation has been observed.
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  • 72
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    Plant and soil 87 (1985), S. 79-89 
    ISSN: 1573-5036
    Keywords: Alder ; Allelopathy ; Frankia ; Juglone ; Root nodules ; Tolerance ; Walnut
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary In vitro growth (total protein content) of 5Frankia isolates was significantly inhibited at 10−4 M juglone (5-hydroxy-1, 4-napthoquinone) concentration, but the degree of inhibition varied with theFrankia isolate. Isolates fromAlnus crispa [Alnus viridis ssp.crispa (Ait.) Turril] were most tolerant of 10−4 M juglone relative to controls, while an isolate fromPurshia tridentata (Pursh.) D.C. was most inhibited, displaying a dramatic decrease in growth and greatly altered morphology. Nodulation of black alder [Alnus glutinosa L. (Gaertn.)] in an amended prairie soil inoculated with aFrankia isolate from red alder (Alnus rubra Bong.) was significantly decreased by the addition of aqueous suspensions of 10−3 M and 10−4 M juglone. This decrease was partially independent of decreased plant growth. The addition of an equal volume of sand to the soil mixture further decreased nodulation of black alder.Frankia inoculation of the soil mixtures significantly increased the total number of nodules formed per seedling, and the degree of differences in seedling nodulation owing to juglone and soil treatments.
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  • 73
    ISSN: 1573-5036
    Keywords: Actinorhizae ; Alder ; Alnus glutinosa ; Frankia ; Nitrogen-fixation ; Symbiosis ; Tissue culture
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary ThreeAlnus glutinosa (L.) Gaertn. clones, obtained byin vitro propagation techniques, were inoculated with four strains ofFrankia. The ability of these clones to nodulate and fix nitrogen was previously reported; this study deals with the performance of 12 different combinations of pairs of symbionts. Shoot fresh weight, shoot height and collar diameter were measured 60 and 82 days after inoculation. Shoot fresh weight seems to be more sensitive and reliable than the other parameters. Nitrogenase activity, measured by the acetylene reduction assay, was assayed 78 days after inoculation and was consistent with the biomass measurements. Better growth was observed when type N strains were used. Significant growth differences were observed between clones AG-2 and AG-8 on the one hand and clone AG-4 on the other. Thus, the use of genetically defined host plants and microsymbionts permitted the demonstration of significant performance variation even among cloned plants from the same provenance (AG-4 and AG-8). The duration of the experiment influenced the results with differences becoming less significant with time. This might be caused by an external limiting factor such as the pot size, competition for light,etc. But it could also be indicative of differences in nodulation speed among the treatments.
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  • 74
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    Plant and soil 90 (1986), S. 407-417 
    ISSN: 1573-5036
    Keywords: Afforestation ; Alnus incana ; Frankia ; Free-living ; Host plant dependency ; N2-fixation ; Nodulation ; Pine forest ; Podzol ; Symbiosis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary The presence in soil ofFrankia, capable of forming nitrogen-fixing root nodules onAlnus incana (L.) Moench, was investigated. Intact soil cores from forested as well as disturbed sites were sampled and both alder-rich and alder-free sites were included in the study. Surface-sterilized alder seeds were sown in the soil cores which were kept in sterile culture tubes in a growth chamber. Root nodules with nitrogenase activity developed in soil cores from all sites studied. Thus, infective and effectiveFrankia was present in all of the soils sampled, even from sites free from actinorhizal plants and irrespective of pH and nitrogen content of the soils.
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  • 75
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    Journal of optimization theory and applications 57 (1988), S. 265-293 
    ISSN: 1573-2878
    Keywords: Discrete-time systems ; infinite-horizon optimal control ; moving-horizon control ; state-control constraints ; nonquadratic cost functions ; stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Stability results are given for a class of feedback systems arising from the regulation of time-varying discrete-time systems using optimal infinite-horizon and moving-horizon feedback laws. The class is characterized by joint constraints on the state and the control, a general nonlinear cost function and nonlinear equations of motion possessing two special properties. It is shown that weak conditions on the cost function and the constraints are sufficient to guarantee uniform asymptotic stability of both the optimal infinite-horizon and moving-horizon feedback systems. The infinite-horizon cost associated with the moving-horizon feedback law approaches the optimal infinite-horizon cost as the moving horizon is extended.
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  • 76
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    Mathematical methods of operations research 29 (1985), S. 65-104 
    ISSN: 1432-5217
    Keywords: Additive cost criterion ; analytic behaviour of strategies ; ES strategy ; list schedule ; MES strategy ; priority rule ; quasi-stability ; regular measure of performance ; scheduling problems ; set strategy ; shift property ; stability ; stochastic scheduling
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract The paper introduces the finite class of set strategies for stochastic scheduling problems. It is shown that the knownstable classes of strategies such as ES and MES strategies are of this type, as arelist-scheduling strategies such as LEPT and SEPT and other, more complicatedpriority-type strategies. Roughly speaking, set strategies are characterized by the fact that the decision as to which jobs should be started at timet depends only on the knowledge of the two sets of jobs finished up to timet and being processed at timet. Contrary to list scheduling strategies, set strategies may involve deliberate idleness of machines, i.e. may not be greedy and can therefore not generally be induced by priority rules. It is demonstrated that set strategies have useful properties. They are e.g.λ n -almost everywhere continuous and therefore show satisfactorystability behaviour w.r.t. weak convergence of the joint distribution of job durations. Furthermore, the optimum w.r.t.all strategies is already attained on this class if job durations are independent and exponentially distributed and the performance measure fulfills a certainshift condition. This shift property is a quite natural concept and generalizes aspects of the notion ofadditivity in semi-Markov decision theory and stochastic dynamic optimization. Its complete analytical characterization is a major object of this paper. Typical additive cost criteria such as makespan and flowtime are of course covered, which yields simultaneously a first step towards generalization of optimality of LEPT and SEPT rules, as known for special cases. In fact, in view of the obtained optimality result, the question of when deliberate idleness of machines can be avoided, gains considerable interest, as it characterizes stochastic environments in whichpriority strategies are optimal. This provides a major link with current research on the analysis of networks of queues in the context of computer systems.
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  • 77
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    Periodica mathematica Hungarica 16 (1985), S. 1-5 
    ISSN: 1588-2829
    Keywords: Primary 34A50, 65L05 ; Secondary 41A15 ; Differential equations ; initial value problem ; spline function ; linear multistep method ; stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, we continue the study [4] of the stability question of the quasidouble step spline function approximations,s(x) ∈ C m−2 , to the initial value problemy (n) = f(x, y, ⋯, y (n−1) ). It will be shown that the method is unstable and hence divergent form ≥ n + 4.
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    Journal of optimization theory and applications 63 (1989), S. 79-89 
    ISSN: 1573-2878
    Keywords: Probabilistic constrained programs ; feasible solution sets ; stability ; point-to-set maps
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, we show the continuity of the feasibility set with respect to the reliability levels and with respect to the distribution of the random elements of a stochastic program with probabilistic constraints. Continuity is then used to obtain stability results for this type of stochastic program. An easy criterion is given for checking the conditions which guarantee the continuity of the feasibility set.
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  • 79
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    Journal of optimization theory and applications 47 (1985), S. 235-252 
    ISSN: 1573-2878
    Keywords: Uncertain dynamical systems ; robotic tracking ; stability ; deterministic feedback control
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The tracking problem for a robotic manipulator withn controlled degrees of freedom and uncertain dynamics is considered. Based on the deterministic theory of Refs. 1–15 and requiring only knowledge of bounds on the system uncertainty, a classC of continuous feedback controls (adapted from Ref. 11) is proposed with respect to which the uncertain tracking system is practically stabilizable in the sense that, given a feasible path to be tracked and an arbitrarily small neighborhood σ of the origin in the appropriate error space, there exists a control inC such that the tracking error for the feedback controlled uncertain system is ultimately bounded with respect to σ. The theory is illustrated in a numerical example of a robot with two degrees of freedom.
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  • 80
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    Journal of optimization theory and applications 48 (1986), S. 81-93 
    ISSN: 1573-2878
    Keywords: Optimization ; duality ; stability ; nonconvex programming
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Using the concept of Φ-conjugate functions, a wide class of nonconvex optimization problems can be investigated. By generalized Lagrangians, the problems indicated and a generalized notion of stability can be treated. It is possible to give duality theorems for these problems such that the approach given by Rockafellar (1967) for convex problems can be extended to the nonconvex case.
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  • 81
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    Journal of optimization theory and applications 48 (1986), S. 245-263 
    ISSN: 1573-2878
    Keywords: Controlled invariants ; (A, ℬ)-invariants ; conditioned invariants ; (ℒ,A)-invariants ; stability ; stabilizability ; geometric approach ; linear system theory
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Self-bounded controlled and self-hidden conditioned invariant subspaces, recently introduced by the authors for a more direct and neat handling of some fundamental concepts of the geometric approach, such as controllability subspaces, are proved in this paper to be very useful tools also in dealing with synthesis problems with stability requirements. Definitions concerning stability of invariants and stabilizability of controlled invariants, simple and self-bounded, are first presented and discussed. In particular, it is shown that a more straightforward definition for controlled invariant stabilizability allows a simpler development of the theory, Then, some fundamental results relating self-boundedness to stabilizability are derived. For the sake of completeness, all statements are dualized to conditioned invariants, simple and self-hidden.
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    Journal of optimization theory and applications 50 (1986), S. 239-255 
    ISSN: 1573-2878
    Keywords: Uncertain dynamical systems ; robotic tracking ; stability ; nonlinear feedback control
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The development of flexible manufacturing systems calls for industrial robots characterized by robustness of performance with regard to the variations of the loads and real time specification of the trajectory in the work space. In this paper, the design of a feedback controller guaranteeing such performance is considered. At first, the manipulator dynamics are embedded into a larger class of uncertain dynamical systems and a class of feedback controls is proposed that guarantees uniform ultimate boundedness of the tracking error. Successively, the methodology is specialized for the case of robotic manipulators to track trajectories described in task-oriented coordinates; the proposed control algorithm operates without requiring any explicit coordinate transformation.
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  • 83
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    Journal of optimization theory and applications 61 (1989), S. 73-94 
    ISSN: 1573-2878
    Keywords: Decentralized control ; stabilization by output feedback ; stability ; numerical methods ; discrete-time linear systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, we present an approach for designing structural constrained controllers for discrete-time linear systems, based on a new stabilizability property of the Riccati equation solution. First, the feedback stabilization problem under a general structural constraint is considered and a simple numerical procedure to solve it is presented. Special attention is given to the output feedback stabilization problem, for which sufficient conditions for the existence and convergence toward a stabilizing matrix are provided. Some examples are solved and comparisons with other methods available in the literature are made.
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  • 84
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    Journal of optimization theory and applications 61 (1989), S. 403-408 
    ISSN: 1573-2878
    Keywords: Isoperimetric inequalities ; stability ; circular rings ; structural optimization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The problem of determining the optimal cross section of a circular ring so as to maximize the buckling pressure under a given total volume is formulated and solved. An isoperimetric inequality is proved: Among all the circular rings of given mass and radius, the ring with constant bending rigidity along the arc length has the largest critical buckling pressure.
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    Journal of optimization theory and applications 62 (1989), S. 419-447 
    ISSN: 1573-2878
    Keywords: Minimax optimization ; parametric optimization ; transversality ; sensitivity ; stability ; Chebyshev approximation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We consider functions of maximum type (max functions for short), subject to (in)equality constraints. The space dimension is finite, and the maximum is taken over a compact manifold with boundary. Effective local minimization algorithms based on Newton's method can be derived in the case where a local minimum is nondegenerate (in a two-level sense). In fact, nondegeneracy refers on the one hand to a local (implicit) reduction of the original max function to another one, where the maximum is taken over a finite set. On the other hand, it refers to strict complementarity and nondegeneracy of the underlying quadratic form with respect to the reduced stationary situation. As the main goal, we show that the set ofn-parameter families of functions, for which the stationary points of the corresponding max function are nondegenerate, constitutes an open and dense subset in the space of alln-parameter families (the topology used takes derivatives up to second order into account). An application to approximation problems of Chebyshev type is presented.
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    Journal of optimization theory and applications 59 (1988), S. 117-133 
    ISSN: 1573-2878
    Keywords: Nonlinear systems ; control ; stability ; uncertain systems ; robust control
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract For a class of time-varying nonlinear systems described by the equation $$\dot x = f(x,t) + g(x,t)u$$ , the precalculating control is not available if the input matrixg(x,t) is not invertible. With Lyapunov's second method, a stabilizing controller which makes the system practically stable is constructed in this paper. It is shown that the implementation of this scheme depends on some so-called posi-invertibility conditions forg(x,t). In case the system is partly stable, the method, named part-calculating control, can simplify the on-line computations. Without the assumption that the nominal system is asymptotically stable, the method is applied to the problems of control for the corresponding uncertain system that satisfies the matching condition. When the matching condition is not satisfied, the mismatching control problem is also studied with Lyapunov's second method.
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