A fitness function for optimal life history in relation to density effects,competition, predation and stability of the environment

A fitness function (function maximized under natural selection) is studied in a population model in which the growth of a population is suppressed by crowding, density-independent continuous mortality (by euryphagous predators) and periodic disturbances. The dynamics of the population density between occurrence of disturbance can be expressed as,dN/dt=(F(N/K)−D)N, whereN is the population density,K is the carrying capacity,D is the density-independent continuous mortality, andF is the growth regulation factor described as a function of crowding (N/K). The period of disturbance isS. The survival rate under disturbance isu. It is concluded that the fitness function is (approximately) a product of competitive ability (C), carrying capacity, and degree of saturation, and is given byCKF ⁻¹(D−(lnu)/S). The degree of saturation is the inverse function of regulation factor (F) at the death rate due to predators and disturbance. I assume a population in which density is regulated only through survival. In this case, a low survival rate at the critical age-group means a high value ofCKF ⁻¹(D−(lnu)/S). Therefore, the reciprocal of the density-dependent survival rate at critical age-group is a measure of the fitness function. Using this measure, I predict the optimal age (body size) at first reproduction of a species of salamander. I also found that fitness calculated from observed values ofl(x) andm(x) includes a tautology. When the concept of fitness function is compared with the ESS method, the latter is more flexible. However, there is a possibility that an ESS is at the minimum of fitness function.     

Estimate of population extinction risk and its application to ecological risk management

Environmental threats, such as habitat size reduction or environmental pollution, may not cause immediate extinction of a population but may shorten the expected time to extinction. We developed a method to estimate the mean time to extinction for a density-dependent population with environmental fluctuation and to compare the impacts of different risk factors. We first derived a formula of the mean extinction time for a population with logistic growth and environmental and demographic stochasticities expressed as a stochastic differential equation model (canonical model). The relative importance of different risk factors is evaluated by the decrease in the mean extinction time. We studied an approximated formula for the reduction in habitat size that enhances extinction risk by the same magnitude as a given decrease in survivorship caused by toxic chemical exposure. In a large population (large K) or in a slowly growing population (small r), a small decrease in survivorship can cause the extinction risk to increase, corresponding to a significant reduction in the habitat size. Finally, we studied an approximate maximum likelihood estimate of three parameters (intrinsic growth rate r, carrying capacity K, and environmental stochasticity σ ² _e ) from time series data. By Monte Carlo sampling, we can remove the bias very effectively and determine the confidence interval. We discuss here how the reliability of the estimate changes with the length of time series. If we know the intrinsic rate of population growth r, the mean extinction time is estimated quite accurately even when only a short time series is available for parameter estimation. Received: March 31, 1999 / Accepted: November 9, 1999     

r‐ and K‐selection in fluctuating populations is determined by the evolutionary trade‐off between two fitness measures: Growth rate and lifetime reproductive success

In a stable environment, evolution maximizes growth rates in populations that are not density regulated and the carrying capacity in the case of density regulation. In a fluctuating environment, evolution maximizes a function of growth rate, carrying capacity and environmental variance, tending to r‐selection and K‐selection under large and small environmental noise, respectively. Here we analyze a model in which birth and death rates depend on density through the same function but with independent strength of density dependence. As a special case, both functions may be linear, corresponding to logistic dynamics. It is shown that evolution maximizes a function of the deterministic growth rate r₀ and the lifetime reproductive success (LRS) R₀, both defined at small densities, as well as the environmental variance. Under large noise this function is dominated by r₀ and average lifetimes are small, whereas R₀ dominates and lifetimes are larger under small noise. Thus, K‐selection is closely linked to selection for large R₀ so that evolution tends to maximize LRS in a stable environment. Consequently, different quantities (r₀ and R₀) tend to be maximized at low and high densities, respectively, favoring density‐dependent changes in the optimal life history.     

An evolutionary maximum principle for density-dependent population dynamics in a fluctuating environment

The evolution of population dynamics in a stochastic environment is analysed under a general form of density-dependence with genetic variation in r and K, the intrinsic rate of increase and carrying capacity in the average environment, and in σ_e², the environmental variance of population growth rate. The continuous-time model assumes a large population size and a stationary distribution of environments with no autocorrelation. For a given population density, N, and genotype frequency, p, the expected selection gradient is always towards an increased population growth rate, and the expected fitness of a genotype is its Malthusian fitness in the average environment minus the covariance of its growth rate with that of the population. Long-term evolution maximizes the expected value of the density-dependence function, averaged over the stationary distribution of N. In the θ-logistic model, where density dependence of population growth is a function of N^θ, long-term evolution maximizes E[N^θ]=[1−σ_e²/(2r)]K^θ. While σ_e² is always selected to decrease, r and K are always selected to increase, implying a genetic trade-off among them. By contrast, given the other parameters, θ has an intermediate optimum between 1.781 and 2 corresponding to the limits of high or low stochasticity.     

Relations between production and biomass of phytoplankton in four Swedish lakes of different trophic status and humic content

Production and biomass values from phytoplankton populations in four different Swedish lakes were analysed. The production in all lakes was directly proportional to biomass during homothermal periods. When the lakes were stratified there was a strong negative relation between specific growth rate and biomass. The data fitted to a logistic density dependent growth equation of the form: dB/ dt = µ_mB(1-B · K^–1) where B is the biomass, µ_m the maximum specific growth rate and K the carrying capacity. The equation was used to derive the parameters µ · µ_m ^–1 and carrying capacity (the maximum possible biomass). These parameters were then discussed in relation to light climate, phosphorus concentration and humic content.     

Is maximum sustainable yield independent of body size for mammals (and others)?

Summary Provided carrying capacity (K) for non-primate mammals scales with the –0.75 power of adult body weight (W), MSY (in weight) should be approximately one-sixth ofC, whereC is defined byK =CW ^–0.75.     

Photosynthetic kinetics determine the outcome of competition for dissolved inorganic carbon by freshwater microalgae: implications for acidified lakes

Summary Photosynthetic kinetics with respect to dissolved inorganic carbon were used to predict the outcome of competition for DIC between the green alga Selenastrum minutum and the cyanobacterium Synechococcus leopoliensis at pH 6.2, 7.5, and 10. Based on measured values of the maximum rate of photosynthesis, the half-saturation value of photosynthesis with respect to DIC (K ₁ ^2/DIC ), and the DIC compensation point, it was predicted that S. leopoliensis would lower the steady-state DIC concentration below the DIC compensation point of S. minutum. This should result in competitive displacement of the green alga at a rate equivalent to the chemostat dilution rate. This prediction was validated by carrying out competition experiments over the range of pH. These results suggest that the low levels of DIC in air-equilibrated acidified lakes may be an important rate-limiting resource and hence affect phytoplankton community structure. Furthermore, the low levels of DIC in these systems may be below the DIC compensation point for some species, thereby precluding their growth at acid pH solely as a function of DIC limitation. The potential importance of DIC in shaping phytoplankton community structure in acidified systems is discussed.Abbreviations growth rate - _max maximum growth rate - K concentration of dissolved inorganic carbon required to maintain half-maximal rate of growth - K ₁ ^2/DIC concentration of dissolved inorganic carbon required to maintain half-maximal photosynthesis - DIC dissolved inorganic carbon - P _max maximum rate of photosynthesis - R ^* substrate concentration required for an organism to maintain a growth rate equal to the mortality rate - DIC compensation point (DIC) concentration where gross photosynthesis equals respiration - i.e. net photosynthesis equals zero     

Requirement of a large K+-uptake capacity and of extracytoplasmic protease activity for protamine resistance of Escherichia coli

The effect of protamine on growing cells of Escherichia coli K-12 strains containing different K⁺-uptake systems was investigated. Immediately after the addition of the toxic peptide, growth ceased and all strains lost most of their K⁺. In addition, these cells released a significant amount of their ATP into the medium, and the cytoplasmic volume of these cells decreased by 70%. Whereas cells without rapid K⁺-uptake systems did not recover, cells containing either the Trk systems or the overproduced Kup system slowly reversed the effects of protamine, and growth resumed after the cells had reached their original volume. Experiments with a set of strains carrying mutations in the K⁺-uptake gene trkA showed a reasonably satisfactory correlation between inhibition of net K⁺ uptake and the lag time for resumption of growth after addition of protamine. Cells carrying mutations in three extracytoplasmic proteases were hypersusceptible to protamine, suggesting that the toxic peptide is degraded by these proteases. Data on the effect of a second addition of protamine suggest that protamine degradation activity is inducible. These data are interpreted to mean that reaccumulation of K⁺ by protamine-treated cells triggers recovery of the cells, thereby allowing induction of extracytoplasmic proteases. These, in turn, degrade protamine, leading to complete recovery of the cells and resumption of growth. Cells that cannot take up K⁺ rapidly remain metabolically compromised to such an extent that extracytoplasmic protease activity is not induced, leading to a prolonged susceptibility of the cells to the toxic peptide. Received: 27 August 1996 / Accepted: 25 November 1996     

Root high-affinity K+ and Cs+ uptake and plant fertility in tomato plants are dependent on the activity of the high-affinity K+ transporter SlHAK5

Root K⁺ acquisition is a key process for plant growth and development, extensively studied in the model plant Arabidopsis thaliana. Because important differences may exist among species, translational research supported by specific studies is needed in crops such as tomato. Here we present a reverse genetics study to demonstrate the role of the SlHAK5 K⁺ transporter in tomato K⁺ nutrition, Cs⁺ accumulation and its fertility. slhak5 KO lines, generated by CRISPR-Cas edition, were characterized in growth experiments, Rb⁺ and Cs⁺ uptake tests and root cells K⁺-induced plasma membrane depolarizations. Pollen viability and its K⁺ accumulation capacity were estimated by using the K⁺-sensitive dye Ion Potassium Green 4. SlHAK5 is the major system for high-affinity root K⁺ uptake required for plant growth at low K⁺, even in the presence of salinity. It also constitutes a pathway for Cs⁺ entry in tomato plants with a strong impact on fruit Cs⁺ accumulation. SlHAK5 also contributes to pollen K⁺ uptake and viability and its absence produces almost seedless fruits. Knowledge gained into SlHAK5 can serve as a model for other crops with fleshy fruits and it can help to generate tools to develop low Cs⁺ or seedless fruits crops.     

Does probability of occurrence relate to population dynamics?

Hutchinson defined species' realized niche as the set of environmental conditions in which populations can persist in the presence of competitors. In terms of demography, the realized niche corresponds to the environments where the intrinsic growth rate (r) of populations is positive. Observed species occurrences should reflect the realized niche when additional processes like dispersal and local extinction lags do not have overwhelming effects. Despite the foundational nature of these ideas, quantitative assessments of the relationship between range‐wide demographic performance and occurrence probability have not been made. This assessment is needed both to improve our conceptual understanding of species' niches and ranges and to develop reliable mechanistic models of species geographic distributions that incorporate demography and species interactions. The objective of this study is to analyse how demographic parameters (intrinsic growth rate r and carrying capacity K ) and population density (N ) relate to occurrence probability (P_occ ). We hypothesized that these relationships vary with species' competitive ability. Demographic parameters, density, and occurrence probability were estimated for 108 tree species from four temperate forest inventory surveys (Québec, western USA, France and Switzerland). We used published information of shade tolerance as indicators of light competition strategy, assuming that high tolerance denotes high competitive capacity in stable forest environments. Interestingly, relationships between demographic parameters and occurrence probability did not vary substantially across degrees of shade tolerance and regions. Although they were influenced by the uncertainty in the estimation of the demographic parameters, we found that r was generally negatively correlated with P_occ, while N, and for most regions K, was generally positively correlated with P_occ. Thus, in temperate forest trees the regions of highest occurrence probability are those with high densities but slow intrinsic population growth rates. The uncertain relationships between demography and occurrence probability suggests caution when linking species distribution and demographic models.     

1H nuclear magnetic resonance studies of histidine-containing di- and tripeptides. Estimation of the effects of charged groups on the pKa value of the imidazole ring.

The nmr titration curves of chemical shifts versus pH were observed for the protons of various histidine-containing di- and tripeptides. With these results, the macroscopic pK_a values and the chemical shifts intrinsic to each ionic species were determined by a computer curve-fitting based on a simple acid dissociation sequence. The pK_a value of the imidazole ring in N-acetyl-L -histidine methylamide was assumed to represent the intrinsic (or unperturbed) pK_a of the imidazole rings of histidine having peptide linkages at both the CO and NH sides. The pK_a values of the imidazole rings observed for most di- and tripeptides were reasonably reproduced by simple calculations using the intrinsic value and the perturbations due to the CO₂^? and NH₃⁺ groups located at various positions. Some other factors affecting the pK_a value of the imidazole ring are also discussed.     

The effects of weak acids on potassium uptake by Escherichia coli K-12. Inhibition by low cytoplasmic pH

The activity of the Escherichia coli K⁺ transport system TrkA was measured as a function of the cytoplasmic pH of the cell. For this purpose, pH_in was decreased by the addition of the weak acids acetic acid, benzoic acid or salicylic acid to K⁺-depleted cells. Under these conditions, the initial rate of K⁺ uptake decreased strongly with pH_in, and was almost independent of the acid used. This inhibition was due to a strong decrease in the V_max for K⁺ uptake, which indicates that low cytoplasmic pH inactivates the TrkA K⁺ uptake system. The relevance of this inhibition for growth and metabolism at low pH_in is discussed.     

Modeling the Biodegradation Kinetics of Perchlorate in the Presence of Oxygen and Nitrate as Competing Electron Acceptors

A mathematical model was developed to describe the biodegradation kinetics of perchlorate in the presence of nitrate and oxygen as competing electron acceptors. The rate of perchlorate degradation is described as a function of the electron donor (acetate) degradation rate, the concentration of the alternate electron acceptors, and rates of biomass growth and decay. The kinetics of biomass growth are described using a modified Monod model, and inhibition factors are incorporated to describe the influence of oxygen and nitrate on perchlorate degradation. In order to develop input parameters for the model, a series of batch biodegradation studies were performed using Azospira suillum JPLRND, a perchlorate-degrading strain isolated from groundwater. This strain is capable of utilizing oxygen, nitrate, or perchlorate as terminal electron acceptors. The maximum specific growth rate (μ_max) and half-saturation constant (K _S ^don) for the bacterium when utilizing either perchlorate or nitrate were similar; 0.16 per h and 158 mg acetate/L, respectively. However, these parameters were different when the strain was growing on oxygen. In this case, μ_max and K _S ^don were 0.22 per h and 119 mg acetate/L, respectively. The batch experiments also revealed that nitrate inhibits perchlorate biodegradation by this strain. This finding was incorporated into the model by applying an inhibition coefficient (K _i ^nit) value of 25 mg nitrate/L. Combined with appropriate groundwater transport models, this model can be used to predict perchlorate biodegradation during in situ remediation efforts.     

Simulation of the dynamics in the Baker's yeast process

Simulation of the dynamics in a fed batch process for production of Baker's yeast is discussed and applied. Experimental evidences are presented for a model of the energy metabolism. The model involves the concept of a maximum respiratory capacity of the cell. If the sugar concentration is increased above a critical value, corresponding to a critical rate of glycolysis and a maximum rate of respiration, then all additional sugar consumed at higher sugar concentrations is converted into ethanol.In a fed batch process with constant sugar feed the sugar concentration declines slowly. If ethanol is present when the sugar concentration declines below the critical value of 110 mg/dm³ fructose +glucose the metabolism switches rapidly into combined oxidation of sugar and ethanol. Thus, no diauxic growth is involved under process conditions. The rate of ethanol consumption is determined by the free capacity of respiration under these conditions. The invertase activity of the cells was found to be so high that mainly fructose and glucose were present in the medium, typically in the concentration range around 100 mg/dm³. These components are consumed at the same rate but with fructose at a higher concentration, indicating a higher K _s for fructose consumption.The model was used in simulation experiments to demonstrate the dynamics of the Baker's yeast process and the influence of different process conditions.List of Symbols DOT % air sat dissolved oxygen tension - F dm³/h rate of inlet medium flow - H kg/(dm³ % air sat.) oxygen solubility - K kg/m³ saturation constant specified by index - K _L a 1/h volumetric oxygen transfer coefficient - m g/(g · h) maintenance coefficient specified by index - P kg/(m³ · h) mean productivity of biomass in the process - q g/(g · h) specific consumption or production rate - S kg/m³ concentration of sugar in reactor - S ₀ kg/m³ concentration of inlet medium sugar medium t h process time - V dm³ medium volume - X kg/m³ concentration of biomass - Y g/g yield coefficient specified by index - 1/h specific growth rate Index aa anaerobic condition - c critical value - e ethanol - ec ethanol consumption - ep ethanol production - max maximum value - o oxygen - oe oxygen for growth on ethanol - os oxygen for growth on sugar - s sugar - x biomass     

High salinity tolerance in the stl2 mutation of Ceratopteris richardii is associated with enhanced K+ influx and loss

The roles of K⁺ uptake and loss in the salinity response of the wild type and the salt-tolerant mutant stl2 of Ceratopteris richardii were studied by measuring Rb⁺ influx and loss and the effects of Na⁺, Mg²⁺, Ca²⁺ and K⁺-transport inhibitors. In addition, electrophysiological responses were measured for both K⁺ and Rb⁺ and for the effects of Na⁺ and NH₄⁺ on subsequent K⁺-induced depolarizations. stl2 had a 26–40% higher uptake rate for Rb⁺ than the wild type at 0.5–10 mol m^?3 RbCl. Similarly, membrane depolarizations induced by both RbCl and KCl were consistently greater in stl2. In the presence of 0–180 mol m^?3 NaCl, stl2 maintained a consistently greater Rb⁺ influx than the wild type. stl2 retained a greater capacity for subsequent KCl-induced depolarization following exposure to NaCl. Five mol m^?3 Mg²⁺ decreased Rb⁺ uptake in stl2; however, additional Mg²⁺ up to 40 mol m^?3 did not affect Rb⁺ uptake further. Ca²⁺ supplementation resulted in a very minor decrease of Rb⁺ uptake that was similar in the two genotypes. Tetraethylammonium chloride and CsCl gave similar inhibition of Rb⁺ uptake in both genotypes, but NH₄Cl gave substantially greater inhibition in the wild type than in stl2. NH₄Cl resulted in a greater membrane depolarization in the wild type and the capacity for subsequent depolarization by KCl was markedly reduced. stl2 exhibited a higher Independent loss of Rb⁺ than the wild type, but, in the absence of external K⁺, loss of Rb⁺ was equivalent in the two genotypes. Since constitutive K⁺ contents are nearly identical, we conclude that high K⁺ influx and loss exact a metabolic cost that is reflected in the inhibition of gametophytic growth. Growth inhibition can be alleviated by reduced supplemental K⁺ or by treatments that slightly reduce K⁺ influx, such as moderate concentrations of Na⁺ or Mg²⁺. We propose that high throughput of K⁺ allows maintenance of cytosolic K⁺ under salt stress and that a high uptake rate for K⁺ results in a reduced capacity for the entrance and accumulation of alternative cations such as Na⁺ in the cytosol.     

PREDICTING THE KINETICS OF DISSOLVED INORGANIC CARBON LIMITED GROWTH FROM THE SHORT-TERM KINETICS OF PHOTOSYNTHESIS IN SYNECHOCOCCUS LEOPOLIENSIS (CYANOPHYTA)1

The blue-green alga (Cyanobacterium) Synechococcus leopoliensis (Racib.) Komarek was grown in dissolved inorganic carbon [DIC]-limited chemostats over the entire range of growth rates. At each growth rate, the kinetics of photosynthesis with respect to [DIC] and the maximal rate of photosynthesis (P_max) were determined. The half-saturation constant for [DIC]-limited photosynthesis (K_1/2^DIC) for cells growing below 1.7 d^?1 was constant (4.7 μM) whereas for growth rates between 1.7 d^?1 and 2.1 d^?1 (μ_max) the kinetics of photosynthesis were multiphasic with an apparent K_1/2^DIC between 1.5–2.0 mM. P_max increased in a linear fashion with growth rate for growth rates below 1.7 d^?1. No trend in P_max was apparent for growth rates greater than 1.7 d^?1. These kinetic parameters were used to predict a growth rate versus [DIC] relationship. Results show that the Monod relationship is a physiologically valid expression of growth as a function of [DIC] provided (K_1/2^DIC) remains constant. The major change in (K_1/2^DIC) as μ approaches μ_max results in the conclusion that two separate and distinct Monod equations must be used to describe growth as a function of DIC over the entire growth range. These results point to a major discontinuity in the μ vs. [DIC] curve at 1.7 d^?1 which corresponds to the change from high to low affinity photosynthetic kinetics. We believe these results account for the previously described deficiencies of the Monod equation in describing [DIC]-limited algal growth.     

Deliberate quin2 overload as a method forIn Situ characterization of active calcium extrusion systems and cytoplasmic calcium binding: application to the human platelet

Summary The objectives of the title were accomplished by a four-step experimental procedure followed by a simple graphical and mathematical analysis. Platelets are (i) overloaded with the indicator quin2 to cytoplasmic concentrations of 2.9mm and (ii) are exposed to 2mm external Ca²⁺ and 1.0 m ionomycin to rapidly achieve cytoplasmic Ca²⁺ ([Ca²⁺]_cyt) of ca. 1.5 m. (iii) The external Ca²⁺ is removed by EGTA addition, and (iv) the active Ca²⁺ extrusion process is then monitored as a function of time. Control experiments show that the ionophore shunts dense tubular uptake and does not contribute to the Ca²⁺ efflux process during phases iii–iv and that the extrusion process is sensitive to metabolic inhibitors.The progress curves for the decline of quin2 fluorescence (resulting from active Ca²⁺ extrusion) were analyzed as a function of [Ca²⁺]_cyt using a mathematical model involving the probability that an exported Ca²⁺ was removed from a quin2 complex (vs. a cytoplasmic binding element). The observed rates of decline of quin2 fluorescence at a particular [Ca²⁺]_cyt are dependent upon (i) the absolute rate of the extrusion system (a function of itsK _m, V_m and Hill coefficient (n)), (ii) the intrinsic Ca²⁺ buffer capacity of the cytoplasm (a function of the total site concentration ([B] _T ) and itsK _d) and (iii) the buffer capacity of the intracytoplasmic quin2 (a function of its concentration andK _d). The contribution of (iii) was known and varied and was used to determine (ii) and (i) as a function of [Ca²⁺]_cyt.The Ca²⁺ binding data were verified by⁴⁵Ca²⁺ experimentation. The data fit a single binding site ([B] _T =730±200 m) with an averageK _d of 140±10n m. This can be accounted for by platelet-associated calmodulin. The rate of the Ca²⁺ extrusionvs. [Ca²⁺]_cyt curve can be described by two components: A saturable one withV _m=2.3±0.3 nmol min^–1 mg-membrane^–1,K _m=80±10 andn=1.7±0.3 (probably identified with a Ca²⁺-ATPase pump) and a linear one (probably identified with a Na⁺/Ca²⁺ exchanger).     

Trends and Carrying Capacity of Sea Otters in Southeast Alaska

Sea otter populations in Southeast Alaska, USA, have increased dramatically from just over 400 translocated animals in the late 1960s to >8,000 by 2003. The recovery of sea otters to ecosystems from which they had been absent has affected coastal food webs, including commercially important fisheries, and thus information on expected growth and equilibrium abundances can help inform resource management. We compile available survey data for Southeast Alaska and fit a Bayesian state-space model to estimate past trends and current abundance. Our model improves upon previous analyses by partitioning and quantifying sources of estimation error, accounting for over-dispersion of aerial count data, and providing realistic measurements of uncertainty around point estimates of abundance at multiple spatial scales. We also provide estimates of carrying capacity (K) for Southeast Alaska, at regional and sub-regional scales, and analyze growth rates, current population status and expected future trends. At the regional scale, the population increased from 13,221 otters in 2003 to 25,584 otters in 2011. The average annual growth rate in southern Southeast Alaska (7.8%) was higher than northern Southeast Alaska (2.7%); however, growth varied at the sub-regional scale and there was a negative relationship between growth rates and the number of years sea otters were present in an area. Local populations vary in terms of current densities and expected future growth; the mean estimated density at K was 4.2 ± 1.58 sea otters/km² of habitat (i.e., the sub-tidal benthos between 0 m and 40 m depth) and current densities correspond on average to 50% of projected equilibrium values (range = 1–97%) with the earliest-colonized sub-regions tending to be closer to K. Assuming a similar range of equilibrium densities for currently un-occupied habitats, the projected value of K for all of Southeast Alaska is 74,650 sea otters. Future analyses can improve upon the precision of K estimates by employing more frequent surveys at index sites and incorporating environmental covariates into the process model to generate more accurate, location-specific estimates of equilibrium density. © 2019 The Authors. The Journal of Wildlife Management Published by Wiley Periodicals, Inc.     

The influence of irradiance,photoperiod and temperature on the growth kinetics of three planktonic diatoms

The influence of irradiance, photoperiod and temperature was determined for the growth kinetics of the diatoms Aulacoseira subarctica, Stephanodiscus astraea and Stephanodiscus hantzschii and the results compared with those of cyanobacteria. Irradiance and photoperiod relationships were qualitatively similar to those for cyanobacteria in that: (1) growth rate (K) was proportionally greater under short photoperiods, with ratios of K under continuous light to K under 3:21 light:dark (LD) cycles of 1·50, 1·80 and 2·96 for A. subarctica, S. astraea and S. hantzschii respectively; (2) at subsaturating irradiances, K was proportional to irradiance and independent of temperature with a negligible predicted maintenance growth rate requirement. Apparent growth efficiencies (GE) at subsaturating irradiances were 0·26±0·03, 0·42±0·03 and 0·50±0·03 divisions mol^-1m² for A. subarctica, S. astraea and S. hantzschii with the values for Stephanodiscus species comparable to values for Oscillatoria species. Under a 3:21 LD cycle at 4 °C, light-saturated growth rates were 0·066±0·004, 0·197±0·033 and 0·285±0·018 divisions day^-1 for A. subarctica, S. astraea and S. hantzschii. S. hantzschii growth rate at 4 °C exceeded maximum Oscillatoria growth rates at 23 °C and the S. astraea growth rate at 4 °C was equivalent to O. agardhii growth rate at 20 °C. Temperature increases above 4 °C gave Q₁₀ values between 4 °C and 12 °C of 3·68, 2·39 and 1·92 for A. subarctica, S. astraea and S. hantzschii, but higher temperatures resulted in minor increases in K. S. astraea growth rate peaked at 16 °C, declining sharply at higher temperatures. February to March in situ growth rates in Lough Neagh, mean temperature 4·3 °C, showed that the A. subarctica in situ K of 0·058 divisions day^-1 was close to the laboratory K at 4 °C, but that S. astraea in situ K of 0·101 divisions day^-1 was lower than the laboratory K at 4 °C.     

Influence of physical factors on the growth of insect cells in vitro

Summary The tolerances of a cell line (IMC-HZ-1) from a moth,Heliothis zea, for the monovalent cations Na⁺ and K⁺ were defined. Cells shifted to media containing more than 70mm of K⁺ showed decreased growth rates. No evidence was obtained for Na⁺ toxicity. The osmotic pressure tolerances were influenced by the K⁺ concentration of the medium. The richer the medium was in K⁺, the narrower was the spectrum of osmotic pressure tolerance. Once the limit of K⁺ tolerance was exceeded, the rate of decline of growth was linear with respect to further increases in K⁺. This rate of decline was independent of osmotic pressure. The initial responses of cells during one subculture (2 to 4 population doublings) in media differing from the standard medium (used to maintain the cell line) were not reliable indicators of the growth potential of the cells. Continued subculture in such media resulted in an upward trend in population growth rates in most cases. This investigation was supported by U. S. Public Health Service Research Grant no. AI 09914 from the National Institute of Allergy and Infectious Diseases. This is Paper no. 8637, Scientific Journal Series, Minnesota Agricultural Experiment Station. The material is part of the dissertation of T. J. K. presented for the Ph.D. degree at the University of Minnesota.