On the visibility of leading eigenvalues in compartmental models

The system matrix eigenvalue with the largest real part (leading eigenvalue) of any input-output (IO) connectable compartmental model is real and visible (appears explicitly) in the impulse response, and thus it governs the asymptotic response of the model. Its visible multiplicity is calculated here by decomposing the model into strongly connected components and applying the Perron-Frobenius theorem. Cascade models and fully visible eigenvalues are defined, and it is shown that for any cascade model the leading eigenvalue is fully visible in the impulse response. A necessary and sufficient condition is given for full visibility of the leading eigenvalue of any IO-connectable model. As a corollary, if an IO-connectable compartmental model has one or more traps, the leading eigenvalue λ₁ = 0 always has visible multiplicity one.     

State-vector models of the cell cycle 1. Parametrization and fits to labeled mitoses data

In this paper we study the Hahn model of the cell cycle from the point of view that a cell population's age distribution is more relevant to labeled mitoses data than is the distribution of its transit times.Closed-form relationships are derived between the transition probabilities of the Hahn model and the transit time of the mean of a cohort of labeled cells (with the variance of their transit time through mitosis). Constraints result which define the acceptable values for the number of ages in the state vector and the length of the time step (rarely does the dimension of the state vector equal the number of time steps in the generation time).A generalization to distinct probabilities for G₁, S and G₂M is presented, and the automatic fitting of fraction-labeled mitoses (FLM) data is described. The doubling time of the population is used to define the daughter factor, via the largest eigenvalue of the state transition matrix. The performance of the generalized Hahn model is compared to that of other commonly used fitting methods using two sets of FLM data from the literature. The synthesis of continuous labeling curves is discussed as an independent check of the parametrization. Based on the stable age distribution resulting from fits to experimental FLM data, it is shown that a nonlinear relationship exists between biological age and time.     

Complexity in matrix population models: Polyvariant ontogeny and reproductive uncertainty

Linear matrix models of stage-structured population dynamics are widely used in plant and animal demography as a tool to evaluate the growth potential of a population in a given environment. The potential is identified with λ₁, the dominant eigenvalue of the projection matrix, which is compiled of stage-specific transition and fertility rates. Advanced botanical studies reveal polyvariant ontogeny in perennial plants, i.e., multiple different versions of individual development within a local population of a single species. This phenomenon complicates any standard, successive-stage, life cycle graph to a digraph defined on a 2D lattice in the age and stage dimensions, the pattern of projection matrix becoming more complex too. In a kind of experimental design, the transition rates can be calculated directly from the data for two successive time moments, but the age-stage-specific rates of reproduction still remain uncertain, adding more complexity to the calibration problem. Simple additional assumptions could technically eliminate the uncertainty, but they contravene the biology of a species in which polyvariant ontogeny is considered to be the major mechanism of adaptation. Given the data and expert constraints, the calibration can be reduced instead to a nonlinear maximization problem, yet with linear constraints. I prove that it has a unique solution to be attained at a vertex of the constraint polyhedral. To facilitate searching for the solution in practice, I use the net reproductive rate R₀, a well-known indicator for the principal property of λ₁ to be greater or less than 1. The method is exemplified with the calibration of a projection matrix in an age-stage-structured model (published elsewhere) for Calamagrostis canescens, a perennial herbaceous species with a complex (multivariant) life cycle that features unlimited growth when colonizing open areas.     

Clines with partial panmixia

In spatially distributed populations, global panmixia can be regarded as the limiting case of long-distance migration. The effect of incorporating partial panmixia into single-locus clines maintained by migration and selection is investigated. In a diallelic, two-deme model without dominance, partial panmixia can increase or decrease both the polymorphic area in the plane of the migration rates and the equilibrium gene-frequency difference between the two demes. For multiple alleles, under the assumptions that the number of demes is large and both migration and selection are arbitrary but weak, a system of integro-partial differential equations is derived. For two alleles with conservative migration, (i) a Lyapunov functional is found, suggesting generic global convergence of the gene frequency; (ii) conditions for the stability or instability of the fixation states, and hence for a protected polymorphism, are obtained; and (iii) a variational representation of the minimal selection-migration ratio λ₀ (the principal eigenvalue of the linearized system) for protection from loss is used to prove that λ₀ is an increasing function of the panmictic rate and to deduce the effect on λ₀ of changes in selection and migration. The unidimensional step-environment with uniform population density, homogeneous, isotropic migration, and no dominance is examined in detail: An explicit characteristic equation is derived for λ₀; bounds on λ₀ are established; and λ₀ is approximated in four limiting cases. An explicit formula is also deduced for the globally asymptotically stable cline in an unbounded habitat with a symmetric environment; partial panmixia maintains some polymorphism even as the distance from the center of the cline tends to infinity.     

Performance and optimization of biological nitrogen removal process enhanced by anoxic/oxic step feeding

The aim of this paper is to investigate the performance and optimization of an biological nitrogen removal process enhanced by the anoxic/oxic four stages step-feeding process under sufficient/insufficient influent carbon source. The concept of influent flow distribution ratio (λ) was introduced according to the performance of the step-feed process for inflow splitting and volume distribution. Under the condition of sufficient carbon, the uniform influent flow distribution ratio was proposed from the standpoint of which is easy for process control, operation optimization and management. Under the condition of different influent C/N ratios, the optimal influent flow distribution ratios (λ_opt) were determined, by trial-and-error method. The results showed that more than 95.81% of the total nitrogen removal efficiency could be achieved by step-feeding process with a fixed influent C/N ratio. A model was introduced to derive the relationships of total nitrogen removal efficiency with λ and influent C/N ratio. When the influent carbon source was insufficient, however, the λ_opt between two adjacent stages should not be uniform. The results also showed that the four-stage step-feeding process with λ_opt of 2.0:2.1:2.5:3.4 could significantly improve the total nitrogen removal efficiency. The results obtained in this study will help to optimize the design and the operation of BNR systems.     

Wavelength-dependent induction of UV-absorbing mycosporine-like amino acids in the red alga Chondrus crispus under natural solar radiation

Polychromatic response spectra for the induction of UV absorbing mycosporine-like amino acids (MAAs) were calculated after exposing small thalli of the red alga Chondrus crispus under various cut-off filters to natural solar radiation on the North Sea island Helgoland, Germany. The laboratory-grown specimens typically contain only traces of palythine and synthesise five different MAAs rapidly and in high concentrations after being transplanted into shallow water. The resulting qualitative and quantitative patterns of MAA induction differed markedly with respect to spectral distribution. Furthermore, the wavebands effective for MAA induction vary within the MAA. UV-B radiation had a negative effect on the accumulation of the major MAAs shinorine (λ_max=334 nm) and palythine (λ_max=320 nm), while short wavelength UV-A exhibits the highest quantum efficiency on their synthesis. In contrast, the synthesis of asterina-330 (λ_max=330 nm), palythinol (λ_max=332 nm) and palythene (λ_max=360 nm) was mainly induced by UV-B radiation. Whether the synthesis of shinorine and palythine is induced by a photoreceptor with an absorption maximum in the short wavelength UV-A and whether a second photoreceptor absorbing UV-B radiation is responsible for the induction of asterina-330, palythinol and palythene remains to be studied.Our results show that C. crispus has a high capacity to adapt flexibly the qualitative and quantitative MAA concentration to the prevailing spectral distribution of irradiance. On one hand, this is regarded as an important aspect with respect to the acclimation of algae to increasing UV-B irradiance in the context of ongoing depletion of stratospheric ozone. On the other hand, the experiment demonstrates that UV-A irradiance is more important for the induction of the major MAAs shinorine and palythine than UV-B.     

Effects of fatigue on inter-cycle variability in cross-country skiing

The aim of the study was to examine the inter-cycle variability in cross-country skiing gait and its evolution with fatigue. Both issues were investigated to understand the flexibility capabilities of the neuromuscular system. Four women and four men skied on a treadmill, up to exhaustion. The angular displacements of the arms and legs movements were obtained for 40 s period at the beginning and end of the skiing test. Mean inter-cycle standard deviation (SD_c), largest Lyapunov exponent (λ₁) and correlation dimension (D_c) were computed for each time series and surrogate counterpart to evaluate the magnitude and nature of the variability. For any experimental time series, λ₁ was positive, D_c greater than 1 and both were found to be different from their surrogate counterparts, confirming that the temporal variations of the data had a deterministic origin. More, larger SD_c, D_c and λ₁ values were observed at the end of the test, indicating more variability, noise and local dynamic instability in the data with fatigue. Hence, the fluctuations of limb angular displacements displayed a chaotic behavior, which reflected flexibility of the neuromuscular system to adapt to possible perturbations during skiing. However, such chaotic behavior degraded with fatigue, making the neuromuscular system less adaptable and more unstable.     

The relationship between water quality and chironomid distribution in Finland—A new assemblage-based tool for assessments of long-term nutrient dynamics

Relationship between water quality variables and distribution, diversity and abundance of sedimentary chironomids (Diptera: Chironomidae) were examined in 51 limnologically different shallow lakes in Finland. The objective was to identify which of the water quality parameters influenced chironomids the most and to explore the potential of developing a palaeoecological tool to infer past changes in water quality for the use of lake management in conservation, preservation and restoration projects. In addition, taxon-specific optima and tolerances were calculated to identify indicators for ultraoligotrophic–hypereutrophic Finnish lakes. The statistical tests indicated that the chironomid assemblages were closely related to water quality. Of the examined environmental variables total phosphorus (TP), total nitrogen (TN), colour, turbidity and hypolimnetic oxygen were the most important explanatory variables. Because autumnal epilimnetic TP had the highest eigenvalue (λ₁:λ₂) ratio, which indicates the relative significance of particular variable in explaining the variance in the species data, and lowest statistical significance level, it was considered to have the greatest potential for the development of a calibration model for quantitative inferences of past limnological conditions. In addition to the complete model, a reduced model using 41 lakes was developed that is independent of covariance with temperature. Of the tested model types, weighted averaging-partial least squares (WA-PLS) had the strongest relationship between observed and inferred TP values together with lowest error of prediction and maximum bias showing favourable model performance. In general, the results of taxon-specific indicator value showed close agreement with previous data. The results provided coherent autecological and synecological data that can be used in qualitative assessments of water quality and ecological status of lakes and most importantly as a basis for the new quantitative tool to be used in palaeolimnological studies and evaluations of TP reference conditions.     

Stress relaxation of human ankles is only minimally affected by knee and ankle angle

Comprehensive characterization of stress relaxation in musculotendinous structures is needed to create robust models of viscoelastic behavior. The commonly used quasi-linear viscoelastic (QLV) theory requires that the relaxation response be independent of tissue strain (length). This study aims to characterize stress relaxation in the musculotendinous and ligamentous structures crossing the human ankle (ankle-only structures and the gastrocnemius muscle–tendon unit, which crosses the ankle and knee), and to determine whether stress relaxation is independent of the length of these structures. Two experiments were conducted on 8 healthy subjects. The first experiment compared stress relaxation over 10 min at different gastrocnemius muscle–tendon unit lengths keeping the length of ankle-joint only structures fixed. The second experiment compared stress relaxation at different lengths of ankle-joint only structures keeping gastrocnemius muscle–tendon unit length fixed. Stress relaxation data were fitted with a two-term exponential function (T=G₀+G₁e^?λ₁t+G₂e^?λ₂t). The first experiment demonstrated a significant effect of gastrocnemius muscle–tendon unit length on G₁, and the second experiment demonstrated an effect of the length of ankle-joint only structures on G₂, λ₁ and λ₂ (p<0.05). Nonetheless, the size of effects on stress relaxation was small (ΔG/G<10%), similar to experimental variability. We conclude that stress relaxation in the relaxed human ankle is minimally affected by changing gastrocnemius muscle–tendon unit length or by changing the lengths of ankle-joint only structures. Consequently quasi-linear viscoelastic models of the relaxed human ankle can use a common stress relaxation modulus at different knee and ankle angles with minimal error.     

The utility and performance of near-infra red spectroscopy in simultaneous monitoring of multiple components in a high cell density recombinant Escherichiacoli production process

Bioprocess optimisation is often limited by an inability to measure biomass, nutrient and by-product concentrations in a time frame which allows process adjustments. Near-infrared (near-IR) spectroscopy can potentially be used to measure each of these components within 2 minutes of sampling, using an unprocessed whole broth sample. In the present study the use of near-IR spectroscopy for at-line (rapid off-line) monitoring of biomass, glycerol, ammonium, and acetate in a recombinant Escherichia coli fed batch process was investigated. The following robust correlation models were developed for these analytes using multiple least squares linear regression (MLR): [Glycerol],gl^?1 =15.957 ? 2219.270^* A(λ₂₂₇₄)?1705.041^* A(λ₂₁₇₂); [Acetate],gl^?1=27.683 ?1757.258^* A(λ₂₂₅₄)+296.903^* A(λ₂₃₄₀)?21.325^* A (λ₆₂₀); [Ammonium],gl^?1=?1310.502?47912.960^* A (λ₂₁₄₈)?135149.300^* A(λ₁₇₈₂)?27636.200^* A (λ₈₃₀); and [Biomass],gl^?1=14.034?3.548^* A(λ₆₀₂/λ₁₁₃₄) ?4286.050^* A(λ₉₂₈). Using these models permitted rapid simultaneous analysis of all four analytes. This improved monitoring capability was used to develop a high cell density recombinant E. coli fed-batch process in which ammonium and acetate accumulation were minimised leading to higher cell densities. By manipulation of the C?:?N ratio in the complex feed, the toxic effects of ammonium accumulation upon the organism were minimised, thereby facilitating the application of a carbon limited feeding strategy. The effect of these C?:?N ratio medium changes, upon the near-IR measurement capability, was investigated. In this process, near-IR spectroscopy has been shown to be a powerful, accurate and precise method for simultaneously measuring several key process variables. Its accuracy, precision and utility for at-line measurement and control are evaluated, particularly in reference to processes where the initial medium composition may vary, leading to changes in the chemical matrix. The potential of near-infra red for online analysis and control is discussed.     

Demography of Oenocarpus bataua and implications for sustainable harvest of its fruit in western Amazon

Oenocarpus bataua is the seventh most abundant tree in the Amazon and one of the most used palms in the region. The main resource obtained from the species is the fruits that are harvested from wild populations for human consumption. Across its distribution area adults are most frequently felled to obtain the racemes, which may affect the palm's populations. In this paper we studied the demography of two populations of Oenocarpus bataua to assess the harvest potential of its fruits and the density variation in different habitats in the western Amazon to estimate fruit yields in different forest types. Non-inundated lands held the greatest densities with an average of 11 adults ha⁻¹ (0–132 adults ha⁻¹). The population finite growth rate (λ) in Amacayacu, Colombia, was 0.9103 because of slow growth and low survival of stemless individuals and low recruitment. On the contrary, in Yasuní, Ecuador, we found a growing population with λ = 1.0368. According to our simulations, adult felling reduced transient population growth (λ_t) in both populations, especially when harvest was frequent even at low intensities. In Amacayacu a simulated harvest of 60 % year⁻¹ of the fruits by climbing did not modify λ_t substantially, while in Yasuní, a regime of 80 % of annual harvest did not diminish λ_t below one and the initial number of adults. The results help to understand the demography of useful palms and to address sustainable management. For instance high yields can be obtained by shifting to non-destructive harvest techniques that can meet the increasing demand and maintain the populations.     

MICROALGAL LIGHT-HARVESTING IN EXTREME LOW-LIGHT ENVIRONMENTS IN MCMURDO SOUND, ANTARCTICA1

Microalgal pigment composition, photosynthetic characteristics, single-cell absorption efficiency (Qa_(λ)) spectra, and fluorescence-excitation (FE) spectra were determined for platelet ice and benthic communities underlying fast ice in Mc Murdo Sound, Antarctica, during austral spring 1988. Measurements of spectral irradiance (E_(λ)) and photosynthetically active radiation (PAR) as well as samples for particulate absorption measurements were taken directly under the congelation ice, within the platelet layer, as profiles vertically through the water column, and at the benihic surface. Light attenuation by.sea ice, algal pigments, and particulates reduced PAR reaching the platelet ice layer to 3%(9–33 fimol photons m-²-^?s-¹) of surface values and narrowed its spectral distribution to a band between 400 and 580 nm. Attenuation by the water column further reduced PAR reaching the sea floor (28–m depth) to 0.05% of surface levels (< 1 μmol photons m-² s-¹), with a spectral distribution dominated by 470–580–nm wavelengths. The photoadaptive index (I) for platelet ice algae (5.9–12.6 μmol photons m-^2.s-¹) was similar to ambient PAR, indicating that algae had acclimated to their light environment (i.e. the algae were light-replete). Maximum Qa_(λ) at the blue absorption peak (440 nm) was 0.63, and enhanced absorption was observed from 460–500 nm and was consistent with observed high cellular chlorophyll (chi) c:chl a and fucoxanthin: chl a molar ratios (0.4 and 1.2, respectively). Benthic algae were light-limited despite the maintenance of very low I_k values (4–11 μmol photons.m-^2.s-¹). Extremely high fucoxanthin: chi a ratios (1.6) in benthic algae produced enhanced green light absorption, resulting in a high degree of complementation between algal absorption and ambient spectral irradiance. Qa_(λ) values for benthic algae were maximal (0.9) between 400 and 510 nm but remained >0.35 even at absorption minima. Strong spectral flattening, a characteristic of intense pigment packaging, was also apparent in the Qa_(λ) spectra for benthic algae. FE and Qa_(λ) spectra were similar in shape for platelet ice algae, indicating that the efficiency at which absorbed energy was transferred to photosystem II (PSII) was independent of wavelength. Fluorescence emission by benthic algae was greatest for the 500–560–nm excitation wavelengths, suggesting that most energy absorbed by accessory pigments was transferred to PSII. These results suggest that under ice algae employ complementary pigmentation and maximize absorption efficiency as adaptive strategies to low-light stress. Regulating the distribution of absorbed energy between PSI and PSII may be an adaptive response to the restricted spectral distribution of irradiance.     

Fitness measures in selection analyses: sensitivity to the overall number of offspring produced in a lifetime

Age at first (α) and last (ω) breeding are important life‐history traits; however, the direction and strength of selection detected on traits may vary depending on the fitness measure used. We provide the first estimates of lifetime breeding success (LBS) and λ_ind (the population growth rate of an individual) of European badgers Meles meles, by genotyping 915 individuals, sampled over 18 years, for 22 microsatellites. Males are slightly larger than females, and the opportunity for selection was slightly greater for males, as predicted. λ_ind and LBS both performed well in predicting the number of grand‐offspring, and both detected selection for a late ω, until the age of eight. Differential selection (S′_α) for an early α, however, was only detected using LBS, not with λ_ind. In declining populations (λ_ind < 1) selection favours reproduction later in life, whereas early reproduction is selected in increasing populations (λ_ind > 1). As 41% of badgers were assigned only one offspring (λ_ind < 1), whereas 40% were assigned more than two (λ_ind > 1), this cancelled out S′_α measured by λ_ind.     

Structure and siderophore activity of ferric schizokinen

Schizokinen, a citrate-containing dihydroxamate, is a siderophore produced by Bacillus megaterium and Anabaena sp. The involvement of the citrate α-hydroxycarboxylate moiety in iron chelation was investigated by comparing the iron binding behavior of schizokinen with that of acetylschizokinen, a derivative in which the citrate hydroxyl group was modified by acetylation. Ferric schizokinen was found to exhibit an absorption spectrum (λ_max = 460 nm) characteristic of a dihydroxamate below pH 2.5, with an isosbestic shift to a citrate dihydroxamate spectrum (λ_max = 395 nm) above pH 4. Ferric acetylschizokinen also had a dihydroxamate absorption spectrum (λ_max = 465 nm) at low pH. However, its spectral shift (λ_max = 420 nm) and intensity above pH 4 were more typical of a ferric trihydroxamate. The molecular weight and electrophoretic mobility of ferric acetylschizokinen are consistent with a dimeric Fe₂ (acetylschizokinen)₃ structure, whereas ferric schizokinen appears to exist as a monomeric 1:1 complex Despite the differences in molecular weight and α-hydroxycarboxylate coordination, both complexes are effective in promoting iron uptake in Anabaena.     

Mathematical analysis of the asymptotic behavior of the Leslie population matrix model

LetL be a Leslie population matrix. Leslie (1945) and others have shown that the matrixL has a leading positive eigenvalueλ ₀ and that in general: (1) $$\mathop {\lim }\limits_{t \to \infty } \frac{{L^t X}}{{\lambda _0^t }} = \gamma X_{\lambda _0 } $$ whereX _{λ 0} is an eigenvector corresponding toλ ₀,X is any initial population vector, and γ is a scalar quantity detormined byX. In this article we generalize (1) exhaustively by removing the mild restrictions on the fertility rates which most writers impose. The result is an oscillatory limit of a kind first noted by Bernardelli (1941) and Lewis (1942) and described by Bernardelli as “population waves”. We calculate in terms ofλ ₀ and the entries of the matrixL the values of this oscillatory limit as well as its time-independent average over one period. This calculation includes as its leading special case the result of (1), confirming incidentally that γ is nonzero. To stabilize a population, the matrixL must be adjusted so thatλ ₀=1. The limits calculated for the oscillatory and non-oscillatory cases then have maximum significance since they represent the limiting population vectors. We discuss a simple scheme for accomplishing stanbilization which yields as a byproduct an easily accessible scalar measure ofL's tendency to promote population growth. The reciprocal of this measure is the familiar net reproduction rate.     

The distribution,size, and age composition,and growth of Saxidomus purpurata (Sowerby, 1852) (Bivalvia: Veneridae) in Vostok Bay,the Sea of Japan

Patterns of the distribution, the size and age composition of local populations, as well as the growth of the large bivalve Saxidomus purpurata, which is intensely farmed and reared in a number of East Asian countries, were studied for the first time in Russian Far East waters. It was determined that in the Vostok Bay, which is a bay of the second order within the limits of the Peter the Great Bay, S. purpurata forms local populations with densities of up to 7.5 ± 2.7 ind./m² and a biomass up to 1070.0 ± 384.0 g/m² at a depth of 1–9 m on mixed bottom substrates of boulders, pebbles, gravel, coquina, and sand of varying degrees of silting. The size and age composition of clam populations varies depending on the local environment; the shell length of the largest specimen was 98.6 mm, the greatest age was 23 years. In the Vostok Bay, the bivalve grew more slowly than off the coast of Korea and China and reached a commercial size (a shell length of 50 mm) later, at an age of 5–7 years. The von Bertalanffy equation describing the growth of S. purpurata in the aggregate sample of individuals from the Vostok Bay, has the form: L _t = 100.1[1 ? e^{?0.1675(t ? 0.0504)}]. It is assumed that the boundary of the species range goes north from the Peter the Great Bay, Sea of Japan.     

Persistent distribution functions for the dispersion of structured populations

This paper primarily expounds upon the problem of persistent age-state distribution functions for the dispersion of structured populations. A general model is introduced, based on the following assumptions: 1) the state of an individual of age a is characterized by a set of random variables X₁, X₂,…, X_Q (weight, size, etc.) obeying a phenomenological master equation; 2) the birth function λ depends on the age a' of parents and on the state variables X₁,…, X_Q of the newborns; 3) the mortality function is composed of two additive terms—the first contribution depends only on age while the second contribution depends on the total population density; 4) the population diffuses to avoid crowding. These hypotheses define a nonlinear population model for which time- and space-persistent age-state distribution functions eventually may occur even if the total population density is time- and space-dependent. A biological interpretation of the main results is given in terms of the distribution function of the state vector at birth. In the last part of the paper a generalized model is presented, assuming that the behavior of an individual is described by a system of age-dependent master equations [29].     

Local dynamic stability of treadmill walking: Intrasession and week-to-week repeatability

Repetitive falls degrade the quality of life of elderly people and of patients suffering of various neurological disorders. In order to prevent falls while walking, one should rely on relevant early indicators of impaired dynamic balance. The local dynamic stability (LDS) represents the sensitivity of gait to small perturbations: divergence exponents (maximal Lyapunov exponents) assess how fast a dynamical system diverges from neighbor points. Although numerous findings attest the validity of LDS as a fall risk index, reliability results are still sparse. The present study explores the intrasession and intersession repeatability of gait LDS using intraclass correlation coefficients (ICC) and standard error of measurement (SEM). Ninety-five healthy individuals performed 5 min treadmill walking in two sessions separated by 9 days. Trunk acceleration was measured with a 3D accelerometer. Three time scales were used to estimate LDS: over 4–10 strides (λ_4–10), over one stride (λ₁) and over one step (λ_0.5). The intrasession repeatability was assessed from three repetitions of either 35 strides or 70 strides taken within the 5 min tests. The intersession repeatability compared the two sessions, which totalized 210 strides. The intrasession ICCs (70-strides estimates/35-strides estimates) were 0.52/0.18 for λ_4–10 and 0.84/0.77 for λ₁ and λ_0.5. The intersession ICCs were around 0.60. The SEM results revealed that λ_0.5 measured in medio-lateral direction exhibited the best reliability, sufficient to detect moderate changes at individual level (20%). However, due to the low intersession repeatability, one should average several measurements taken on different days in order to better approximate the true LDS.