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Applications of Perron-Frobenius theory to population dynamics.

By the use of Perron-Frobenius theory, simple proofs are given of the Fundamental Theorem of Demography and of a theorem of Cushing and Yicang on the net reproductive rate occurring in matrix models of population dynamics. The latter result, which is closely related to the Stein-Rosenberg theorem in numerical linear algebra, is further refined with some additional nonnegative matrix theory. When the fertility matrix is scaled by the net reproductive rate, the growth rate of the model is $1$. More generally, we show how to achieve a given growth rate for the model by scaling the fertility matrix. Demographic interpretations of the results are given.

Female↗

Fitness parameters and DNA effects are sensitive indicators of copper-induced toxicity in Daphnia magna.

This study compared the effects occurring at molecular and population levels in Daphnia magna exposed to copper concentrations in the range of 15-120 microg/l. The qualitative and quantitative modifications arising in random amplified polymorphic DNA (RAPD) profiles as a measure of DNA effects were compared with a number of key ecological fitness parameters, namely, the age-specific survival, age-specific fecundity, net reproductive rate, and intrinsic rate of population increase. Results suggested that growth, reproduction, and most of the fitness parameters as well as genomic template stability (a qualitative measure reflecting changes in RAPD profiles) were significantly affected at copper concentrations of 90 and 120 microg/l. Among the fitness parameters, the age-specific fecundity and net reproductive rate were the most sensitive parameters of toxicity. Changes in RAPD patterns generally occurred at copper concentrations of 90 and 120 microg/l, but with one primer, changes significantly arose at all copper concentrations. Overall, molecular and population parameters compared well and represented a sensitive means to measure toxicity induced by copper in Daphnia magna. In conclusion, the measurement of parameters at both molecular and population levels is valuable for investigating the specific effects of agents interacting with DNA. Ultimately, this methodology may allow the ecotoxicological examination of the link between molecular alterations and measurable adverse effects at higher levels of biological organization.

Animals↗

Euseiusfinlandicus (Acari: Phytoseiidae) as a potential biocontrol agent against Tetranychus urticae (Acari: Tetranychidae): life history and feeding habits on three different types of food.

Life history and reproductive parameters of the generalist predatory mite Euseius (Amblyseius) finlandicus (Oudemans) were studied in the laboratory at 25 +/- 1 degrees C, with a 16L:8D photoperiod and 60 +/- 15% RH, to investigate its response to different food sources: an eriophyid mite Aceria sp., tulip pollen Tulipa gesnerana L., and two-spotted spider mite Tetranychus urticae Koch. Total developmental time of the immature stages was the shortest on eriophyid mites, followed by pollen, and then spider mites. Fecundity was highest on pollen (43.69 eggs; 1.63 eggs/female/day), then eriophyid mites (39.73 eggs; 1.37 eggs/female/day) and lowest on spider mites (18.16 eggs; 0.80 eggs/female/day). Intrinsic rate of increase (Rm), net reproductive rate (Ro) and finite rate of increase (lambda) followed the same pattern [pollen (0.168, 27.96 and 1.183, respectively), eriophyid mites (0.153, 20.81 and 1.167), spider mites (0.110, 9.44 and 1.119)]. Mean generation time (days) was the shortest on pollen (19.90), followed by eriophyid mites (20.02), and then spider mites (20.59). Average spider mite larvae consumed by E. finlandicus during immature stages were 9.18 for males and 11.85 for females. Adult E. finlandicus females consumed an average of 166.38 spider mite protonymphs during adult stage compared to an average of 66.55 by males. The number of prey protonymphs consumed per day by females was highest in the oviposition period, lower in the pre-oviposition period and the lowest in the post-oviposition period. The eriophyid mite as a prey recorded the shortest developmental time, while pollen as food recorded the highest oviposition rate in E. finlandicus. The potential of this predator as a biocontrol agent against T. urticae is discussed.

Animals↗

Ten-year linear trends in reproduction and wool production among inbred and noninbred lines of Rambouillet, Targhee, and Columbia sheep.

To investigate the value of creating inbred lines for genetic improvement of sheep, 54 inbred, 1 randombred control, and 3 noninbred control lines were evaluated for lamb and wool production. Results were based on 19,438 dam and 23,625 lamb records from Rambouillet (R), Targhee (T), and Columbia (C) sheep collected over 9 yr (for T and C) and 10 yr (for R), starting in 1954. Average inbreeding in the inbred lines during the period was near 25% for lambs and 20% for ewes. The general trend in inbred lines for litter weight weaned (120 d) and number weaned (net reproductive rate), per ewe exposed to breeding, was downward as inbreeding increased. Trends in fleece weight generally also were down, regardless of concomitant increases in body weight. Declines were most pronounced in two lines developed by rapid inbreeding. Reproductive merit in the R and C noninbred controls also declined, but the declines were less than those for most inbred lines. Although the T noninbred control declined in fleece weight, trends for fleece weight in the R and C controls were positive and significantly different from the negative trends in the inbred lines. For the randombred control, slight downward trends in litter weight and number weaned were less (P < .05) than those for most inbred lines, indicating genetic declines in these traits for most inbred lines. Direct selection for an index of overall phenotypic merit, recurrent selection for combining ability for overall merit, and direct selection for body type, clean fleece weight, or staple length were all ineffective in preventing a decline in reproductive merit. Ending means (last 2 yr of production) revealed that litter weight weaned in the control groups of each breed was clearly superior to that in most inbred lines. Controls also were typically superior for fleece and body weight. Not one of the 54 inbred lines was superior (P < .05) to its respective noninbred control in weight of lamb weaned or net reproductive rate. Only four of the inbred lines were superior to the noninbred controls in fleece weight. These results, after at least 23 yr of development for most lines, reflect little encouragement for the costly development of many inbred lines for the purpose of improving lamb and wool production, especially when using the above selection criteria.

Animals↗

Bacterially produced dsRNA targeting SePGRP-LB reduces population fitness of Spodoptera exigua (Lepidoptera: Noctuidae) and increases its susceptibility to SeMNPV.

The beet armyworm, Spodoptera exigua (H&#xfc;bner) (Lepidoptera: Noctuidae), is an important agricultural pest, and S. exigua multiple nucleopolyhedrovirus (SeMNPV) is a host-specific biological control agent. However, baculovirus efficacy can be limited by host antiviral responses. S. exigua peptidoglycan recognition protein LB (SePGRP-LB) has been identified as an antiviral immune factor, suggesting that its suppression may increase larval susceptibility to SeMNPV. In this study, bacterially produced double-stranded RNA targeting SePGRP-LB (bac-dsPGRP-LB) was orally delivered to larvae to induce RNA interference. Feeding bac-dsPGRP-LB reduced SePGRP-LB transcript levels by 24.0% to 65.7% over 7&#x2009;d. SePGRP-LB knockdown prolonged fifth-instar larval development, reduced female pupal weight, shortened male adult longevity and the oviposition period, and decreased fecundity by approximately 51%. Life table analysis further showed significant reductions in the intrinsic rate of increase (r), finite rate of increase (&#x3bb;), and net reproductive rate (R0) following bac-dsPGRP-LB treatment. During SeMNPV infection, co-feeding with bac-dsPGRP-LB significantly suppressed SePGRP-LB expression, increased the SeMNPV genomic load, and reduced larval survival compared with the SeMNPV&#x2009;+&#x2009;bac-dsGFP treatment. These findings identify SePGRP-LB as a promising RNAi target for simultaneously reducing S. exigua fitness and enhancing its susceptibility to SeMNPV under laboratory conditions.

SePGRP-LB↗

A multivariate biomarker-based model predicting population-level responses of Daphnia magna.

A multivariate model is proposed relating short-term biomarker measurements in Daphnia magna to chronic effects (21-d exposure) occurring at the population level (time to death, mean brood size, mean total young per female, intrinsic rate of natural increase, net reproductive rate, and growth). The results of the short-term exposure (48 h-96 h) to eight model toxicants (cadmium, chromium, mercury, tributyl tin, linear alkylsulfonic acid, sodium pentachlorophenolate, lindane, and 2,4-dichlorophenoxyacetic acid) on the following biomarkers were used for the multivariate model: digestive enzymes (amylase, cellulase, beta-galactosidase, trypsin, and esterase), enzymes of the intermediary metabolism (glycogen phosphorylase, glucose-6-phosphate dehydrogenase, pyruvate kinase, lactate dehydrogenase, and isocitrate dehydrogenase), cellular energy allocation (CEA) (protein, carbohydrate, and lipid content and electron transport activity), and DNA damage and antioxidative stress activity. Using partial least squares to latent structures (PLS), a two-component model was obtained with R2 of 0.68 and a Q2 value of 0.60 based on the combined analysis of a limited number of the 48- and 96-h biomarker responses. For the individual population-level responses, the R2 values varied from 0.66 to 0.77 and the Q2 values from 0.52 to 0.69. Energy-related biomarkers (cellular energy allocation, lipid contents, anaerobic metabolic activity--pyruvate kinase, and lactate dehydrogenase), combined with parameters related to oxidative stress (catalase) and DNA damage measured after 48 and 96 h of exposure, were able to predict long-term effects at higher levels of biological organization.

Animals↗

Effect of ammonium chloride on Biomphalaria alexandrina and on its infection with Schistosoma mansoni and Echinostoma liei miracidia.

Ammonium chloride (NH4Cl) has molluscicidal activity against B. alexandrina. The LC50 and LC90 recorded of this salt were found to be 90 ppm and 130 ppm, respectively. Maintaining of B. alexandrina at low concentrations of NH4Cl (5, 10, 15 and 20 ppm) greatly reduced their survival rate and fecundity. The net reproductive rate (Ro) [sigmaIx Mx] was deleteriously affected. This rate was significantly reduced than that of control snails in all tested snail groups. The reduction in Ro was 86.9%, 90.8%, 93.9% and 96.9%, respectively. The susceptibility of B. alexandrina to infection with S. mansoni and E. liei miracidia and infectivity of these two parasites were greatly reduced. Increasing the salt concentration increased this reduction. The magnitude of reduction in infection rate was lower in case of E. liei than that in S. mansoni indicating that E. liei is more tolerant to the effect of this salt than S. mansoni.

Ammonium Chloride↗

Conditions determining the local stability of populations.

The conditions that determine the local stability classification of an equilibrium population configuration are analyzed. The population investigated is age-structured and density-dependent, where density is determined by an age-weighted population size. 2 demographic parameters are introduced: the marginal birth rate and the marginal death rate, which describe the marginal density-dependence of the birth and death rates of the equilibrium population. Certain necessary and/or sufficient conditions determining stability are developed, most of them involving the net reproduction rate of the population, and examples illustrating these conditions are presented.

Age Factors↗

Migration and stability.

"In this endeavor to incorporate net migration in a model of population growth, we have found that when net maternity rates are held constant, birth trajectories can be traced in several examples. We have basically experimented with (a) unchanging age-specific net migration rates and also with (b) constant number of net migrants with unchanging age composition. In most cases, the birth trajectory approaches an exponential pattern of growth with two interesting exceptions. When the intrinsic rate of growth is negative, the population approaches stationarity in the second example. Also a linear trend is found in the same example, when the net reproduction rate is equal to one." (SUMMARY IN FRE AND ITA)

Age Distribution↗

Sublethal acute and chronic exposure of Colorado potato beetle (Coleoptera: Chrysomelidae) to the delta-endotoxin of Bacillus thuringiensis.

Sublethal exposure of Colorado potato beetle, Leptinotarsa decemlineata (Say), larvae to the delta-endotoxin of Bacillus thuringiensis variety tenebrionis (Berliner) caused a dose-dependent reduction in feeding and weight gain when tested in a leaf disk bioassay. The highest doses of chronic (continuous-lower concentration) exposure resulted in peak foliage consumption on day 1 as compared with peak consumption on days 3 and 4 when exposure was acute (24-h higher concentration). Dose and exposure regimen interacted significantly in their effects on the extension of development. When development time was analyzed separately for each exposure regimen, only acute exposure caused significant delays in development that extended through to adult eclosion. The efficiency of conversion of ingested material to biomass (ECI) declined significantly with both exposure regimens. The lethal and most sublethal effects of exposure to delta-endotoxin were not cumulative, in that similar total doses, whether delivered acutely or chronically, produced different effects. Female adults that survived acute and chronic exposure to delta-endotoxin as larvae had significantly reduced weight and longevity, and tended to produce fewer eggs (45 and 44% reductions in acute and chronic exposures, respectively) when compared with control adults. The intrinsic rate of increase (r) and net reproductive rate (R0) also appeared to be reduced.

Animals↗

Estimation and computation of the growth rate in Leslie's and Lotka's population models.

Leslie's or Lotka's population model has a rate of natural increase (lambda or r) which represents the growth rate of the population and characterizes the ability of the population to attain a stable age distribution. In this article are presented upper and lower bounds on that rate, primarily in terms of the net reproduction rate and other commonly used parameters of the population. Also a discussion is given of quadratically convergent numerical iterative methods of computing the growth rate.

Age Factors↗

Effects of 17alpha-ethinylestradiol on the reproduction of the cladoceran species Ceriodaphnia reticulata and Sida crystallina.

Single-species tests allow the assessment of chronical effects of endocrine disruptors on organisms under laboratory conditions. In the current study, three-generation tests with Ceriodaphnia reticulata and Sida crystallina were carried out to examine the influence of the synthetic hormone 17alpha-ethinylestradiol (EE) on the reproduction of these cladoceran species. For each species, six different concentrations (10-500 microg/l EE) and two controls were tested with eight replicates for a duration of 4 weeks. The test was initiated by transferring one neonate individual into a test vessel which was incubated under standardized conditions. Every 2 days, the medium was renewed and life history parameters such as survivorship of the adults and juveniles, clutch size, first appearance and number of produced offspring were investigated. Acute toxicity tests showed that C. reticulata (EC50 (24 h) 1814 microg/l) was more sensitive towards the substance compared to S. crystallina (EC50 (24 h) >4100 microg/l). The juvenile phase of S. crystallina was significantly shorter at concentrations above 100 microg/l EE. For C. reticulata, 17alpha-ethinylestradiol caused a higher mortality of the newly hatched juveniles at EE concentrations above 200 microg/l. No effects were found for mortality of adult animals, birth rate, number of juveniles per female and net reproduction rate of S. crystallina and C. reticulata. Thus, sublethal effects on parental generation exposed to EE lead to disturbances in reproduction and to affection of their offspring. Negative consequences for the population dynamic cannot be excluded, e.g. the decrease of a population.

Animals↗

Chronic toxicity of fenitrothion to an algae (Nannochloris oculata), a rotifer (Brachionus calyciflorus), and the cladoceran (Daphnia magna).

Chronic toxicity studies were conducted with an algae (Nannochloris oculata), a rotifer (Brachionus calyciflorus), and a cladoceran (Daphnia magna) to determine their relative sensitivities to the organophosphorus insecticide fenitrothion. The cladoceran D. magna was the most sensitive of the three species. The no observed effect concentrations (NOECs) for the study with the algae (1.0 mg/liter) and for the rotifer (1.0 mg/liter) were higher than the NOEC (0.009 microgram/liter) and the LC50 of 24 hr (0.067 microgram/liter) for D. magna. Most of the algal populations were not initially affected by exposure to fenitrothion. Pesticide concentrations higher than 1.0 mg/liter significantly reduced algal densities after 72 hr exposure. The effects of chronic exposure of the rotifer B. calyciflorus to fenitrothion were evaluated using some demographic parameters: intrinsic rate of natural increase (r), generation time, net reproductive rate, and life expectancy. All the parameters studied decreased with increasing toxicant concentrations. The parameters used to determine the effect of the pesticide on D. magna reproduction were mean total young per female, mean brood size, mean time to first reproduction, and r. The r and the rest of the studied parameters were affected at 0.011-microgram/liter and higher fenitrothion concentrations. Growth, as measured by body length, was only depressed significantly at 0.011 microgram/liter pesticide.

Animals↗

Fertility and family planning in Hungary.

Hungary's birth rate has been declining fairly steadily since World War II, and Hungarian population policy is aimed at increasing fertility to at least replacement level through social, health, and economic benefits to encourage childbearing. Figures for the mid-1970s indicate that birth rates have been rising. Whether these recorded increases may be permanent is examined through analyses of data on Hungarian fertility since 1900 and through retrospective and prospective surveys of family planning attitudes and practice. Both fertility statistics and surveys of family-size desires document a trend toward the two-child family and a birth rate too low to achieve the desired net reproduction rate of more than one. The surveys also show that family planning has become more prevalent in recent decades, and previously heavy reliance on abortion and traditional contraception is increasingly giving way to use of modern contraceptives.

Abortion, Induced↗