Global vegetation models: incorporating transient changes to structure and composition

Abstract. We describe an approach for developing a Dynamic Global Vegetation Model (DGVM) that accounts for transient changes in vegetation distribution over a decadal time scale. The DGVM structure is based on a linkage between an equilibrium global vegetation model and smaller scale ecosystem dynamics modules that simulate the rate of vegetation change. Vegetation change is classified into four basic types, based largely on the projected change in above-ground biomass of the vegetation. These four types of change are: (1) dieback of forest, shrubland or grassland; (2) successional replacement within forest, shrubland or grassland; (3) invasion of forest, shrubland or grassland; (4) change in tree/grass ratio. We then propose an approach in which the appropriate ecosystem dynamics module for each type of change is applied and the grid cells of the global model updated accordingly. An approach for accounting for fire, as an example of a disturbance which may strongly influence the rate and spatial pattern of forest dieback, is incorporated. We also discuss data needs for the development, calibration and validation of the model.     

Non-equilibrium thermodynamics of Lotka-Volterra ecosystems: Stability and evolution

A non-equilibrium thermodynamic theory of generalized Lotka-Volterra ecosystem has been presented. The main results consist of the derivation of a generalized expression of entropy-production for the evolutionary ecosystem and the study of its role in the analysis of ecological stability, succession and also in the formulation of some extremum principles characterising the evolution of the ecosystem.     

Feeding the fairy shrimp Streptocephalus (Anostraca - Crustacea) with the rotifer Anuraeopsis

Laboratory-cultured Streptocephalus torvicornis were offered 8 concentrations (from 6 to 800 ind. ml^–1) of Anuraeopsis fissa for periods of 2 h 30 min. Two size classes, small (male: 14.7 mm± 1.6, female: 15.4 mm± 1.3) and large (male: 20.0 mm±2.0, female: 23.1 mm± 1.5), of S. torvicornis were used. Functional response for large S. torvicornis (both sexes) plateaued at 400 rotifers ml^–1, while in small specimens it did so at 200 prey ml^–1. Females consumed significantly more (30%) prey than males. Large males consumed maximum 4730 rotifers h^–1, females 6560 h^–1.     

Temperature coefficients of peptides dissolved in hexafluoroisopropanol monitor distortions of helices

Temperature coefficients are widely used as an indication of solvent accessibility to amide protons. Low temperature coefficients are related to low accessibility and are often interpreted as evidence for intramolecular hydrogen bonding. Conformational shifts, i.e. the difference between chemical shifts of a particular residue in a structured and in a random-coil conformation, provide information on secondary structure. In particular, negative CH conformational shifts are often used to delineate the extent of helical stretches. NH conformational shifts show large oscillations within a helix that have been interpreted as the result of helix distortions affecting hydrogen bond lengths. In the course of the study of different peptides that adopt a helical structure in the presence of the structure-inducing solvent hexafluoroisopropanol (HFIP), we have found a strong correlation between temperature coefficients and amide conformational shifts. However, contrary to the initial expectations, lower temperature coefficients were associated to amide protons involved in longer, and presumably weaker, hydrogen bonds. The correlation can be explained, however, assuming that, in helical peptides dissolved in HFIP, temperature affects the chemical shift of amide protons mainly by changing the average length of intramolecular hydrogen bonds and changes in solvent accessibility play only a secondary role under these experimental conditions. The pattern of temperature coefficients in helical peptides can therefore be used to identify short or long hydrogen bonds causing bending of the helix axis.     

Optimized Effective Potential for Atoms and Molecules

We describe the optimized effective potential method of density functional theory and the semi-analytical approximation due to Krieger, Li and Iafrate. Results for atomic and molecular systems including correlation contributions are presented and compared with conventional Kohn–Sham methods. The combination of the exact exchange energy functional with the correlation energy functional of Colle and Salvetti works extremely well for atomic systems, while further improvement is required for molecular systems.     

Global stability of an SIR epidemic model with time delays

An SIR disease transmission model is formulated under the assumption that the force of infection at the present time depends on the number of infectives at the past. It is shown that a disease free equilibrium point is globally stable if no endemic equilibrium point exists. Further the endemic point (if it exists) is globally stable with respect to the whole state space except the neighborhood of the disease free state.Research partly supported by the Ministry of Education, Science and Culture, Japan, Grant 05640256     

‘Random coil’ 1H chemical shifts obtained as a function of temperature and trifluoroethanol concentration for the peptide series GGXGG

Summary Proton chemical shifts of a series of disordered linear peptides (H-Gly-Gly-X-Gly-Gly-OH, with X being one of the 20 naturally occurring amino acids) have been obtained using 1D and 2D ¹H NMR at pH 5.0 as a function of temperature and solvent composition. The use of 2D methods has allowed some ambiguities in side-chain assignments in previous studies to be resolved. An additional benefit of the temperature data is that they can be used to obtain ‘random coil’ amide proton chemical shifts at any temperature between 278 and 318 K by interpolation. Changes of chemical shift as a function of trifluoroethanol concentration have also been determined at a variety of temperatures for a subset of peptides. Significant changes are found in backbone and side-chain amide proton chemical shifts in these ‘random coil’ peptides with increasing amounts of trifluoroethanol, suggesting that caution is required when interpreting chemical shift changes as a measure of helix formation in peptides in the presence of this solvent. Comparison of the proton chemical shifts obtained here for H-Gly-Gly-X-Gly-Gly-OH with those for H-Gly-Gly-X-Ala-OH [Bundi, A. and Wüthrich, K. (1979) Biopolymers, 18, 285–297] and for Ac-Gly-Gly-X-Ala-Gly-Gly-NH₂ [Wishart, D.S., Bigam, C.G., Holm, A., Hodges, R.S. and Sykes, B.D. (1995) J. Biomol. NMR, 5, 67–81] generally shows good agreement for CH protons, but reveals significant variability for NH protons. Amide proton chemical shifts appear to be highly sensitive to local sequence variations and probably also to solution conditions. Caution must therefore be exercised in any structural interpretation based on amide proton chemical shifts.     

Chemical shifts and three-dimensional protein structures

Summary During the past three years it has become possible to compute ab initio the ¹³C, ¹⁵N and ¹⁹F NMR chemical shifts of many sites in native proteins. Chemical shifts are beginning to become a useful supplement to more established methods of solution structure determination, and may find utility in solid-state analysis as well. From ¹³C NMR, information on , and torsions can be obtained, permitting both assignment verification, and structure refinement and prediction. For ¹⁵N, both torsional and hydrogen-bonding effects are important, while for ¹⁹F, chemical shifts are primarily indicators of the local charge field. Chemical shift calculations are still slow, but shielding hypersurfaces — the shift as a function of the dihedral angles that define the molecular conformation — are becoming accessible. Over the next few years, theoretical and computer hardware improvements will enable more routine use of chemical shifts in structural studies, including the study of metal-ligand interactions, the analysis of drug and substrate binding and catalysis, the study of folding/unfolding pathways, as well as the characterization of conformational substates. Rather than simply being a necessary prerequisite for multidimensional NMR, chemical shifts and chemical shift non-equivalence due to folding are now beginning to be useful for structural characterization.     

Structure of the histone tetramer (H3-H4)2: 2. Position of λmax in the tyrosyl fluorescence spectra and tyrosyl accessibility to quenchers

It was shown that the histone tetramer (H3-H4)₂ fluorescence spectra were shifted by about 2 nm towards the long-wave region and had a larger halfwidth than the free tyrosine fluorescence spectra. Denaturation with 8 m urea resulted in a shift towards the short-wave region and a decrease in the halfwidth of the histone tetramer (H3-H4)₂ tyrosine fluorescence spectra. Fluorescence quenching of the histone tetramer (H3-H4)₂ by iodine ions was analysed by the Stern-Volmer equation. It was estimated that at 0.1 m NaCl and 0.3–0.8 m NaCl, 45% and 60% tyrosyl fluorescence, respectively, was quenched by I^? ions. The results obtained suggests that histone tetramer (H3-H4)₂ may have several structural forms distinguished by the amount of ‘exposed’ and ‘buried’ tyrosyls depending upon the conditions of the medium.