A suggestion for computing objective function in model calibration

A parameter-optimization process (model calibration) is usually required for numerical model applications, which involves the use of an objective function to determine the model cost (model-data errors). The sum of square errors (SSR) has been widely adopted as the objective function in various optimization procedures. However, ‘square error’ calculation was found to be more sensitive to extreme or high values. Thus, we proposed that the sum of absolute errors (SAR) may be a better option than SSR for model calibration. To test this hypothesis, we used two case studies—a hydrological model calibration and a biogeochemical model calibration—to investigate the behavior of a group of potential objective functions: SSR, SAR, sum of squared relative deviation (SSRD), and sum of absolute relative deviation (SARD). Mathematical evaluation of model performance demonstrates that ‘absolute error’ (SAR and SARD) are superior to ‘square error’ (SSR and SSRD) in calculating objective function for model calibration, and SAR behaved the best (with the least error and highest efficiency). This study suggests that SSR might be overly used in real applications, and SAR may be a reasonable choice in common optimization implementations without emphasizing either high or low values (e.g., modeling for supporting resources management).     

Potassium influx in human neonatal red blood cells. Partition into its major components.

The potassium influx in human neonatal red blood cells (nRBC) shows an approximately 25% lower value compared to the total potassium influx in adult red blood cells (aRBC). The ouabain-sensitive potassium influx component represents approximately 70-75% of the total potassium influx for both types of cells but with an absolute value significantly lower in nRBC. In nRBC, the half maximum inhibitory effect for ouabain was obtained at a 10(-9) M concentration. The ouabain-insensitive nRBC potassium influx fractions showed two components: (i) a bumetanide-sensitive component, significantly lower than that of aRBC, (ii) a ouabain-bumetanide-insensitive (leak) component with a similar value in both cell types. The sum of the ouabain-sensitive and furosemide-sensitive components amounted in nRBC to a greater value than the total potassium influx. This behaviour could be interpreted as a superposition of the action of the inhibitors on the components affected.     

Occurrence of flehmen in male buffaloes (Bubalus bubalis) with special reference to estrus

Pheromonal cues present in the urine and vaginal mucus during the estrus period elicit courtship behaviour in mammals including the characteristic flehmen behaviour. In the present study, the flehmen behaviour was assessed in male buffaloes by exposing them to heifers for three consecutive estrous cycles. Behavioural observations revealed that the bulls sniffed the female's external genitalia, responded to the chemical signal(s) and exhibited the flehmen behaviour similar to those reported in other ungulates. The flehmen behaviour was recorded daily during 15-min contact with females for three consecutive estrous cycles. Out of 180 observations during five days estrus periods (-3 to +1 days) which included high frequency of flehmen behaviour and out of 637 observations with or without flehmen behaviour during diestrus periods, the bull displayed 365 and 441 flehmen behaviour, respectively. Average numbers of all (2.03 +/- 0.66) and repeated flehmen (1.05 +/- 0.64) behaviour during estrus periods were significantly higher than those of diestrus periods of all (0.69 +/- 0.25) and repeated flehmen (0.11 +/- 0.10). The statistical significance was higher (P < 0.001) in repeated flehmen behaviour of estrus as compared to that in diestrus. In case of all flehmen behaviour, the statistical significance was higher (P < 0.01) in estrus when compared to that in diestrus. The occurrence of flehmen behaviour in male buffaloes clearly indicates that the specific pheromonal compound(s) present in the urine/vaginal mucus during estrus significantly influence the flehmen behaviour.     

Precopulatory behaviour of male rats: developmental aspects and dependence on female's solicitation

Sexual communication between sex partners can involve just one sensory modality or a combination, depending upon such factors as species, habitat, and context. Ethological aspects of sexual communication has been widely documented in rodents. In rats, sexual communication between male and female varies according to the production of signals by a female that signal receptivity, proceptivity, and attractivity. However, in the laboratory experiment, such approach is often neglected. In the present study, two types of stimulus female--Lordotic and Darting--were used with the aim to examine developmental changes in precopulatory behaviour of males. Besides the dependence of the male's precopulatory repertoire on the strength of proceptive stimuli emitted by the female was studied. Male rats ranging from 30 to 175 days of age were observed under the dyadic interaction. It was found: (a) Precopulatory behaviour of the 30-day-old males was not clear-cut, the males devoted more time to social investigation of adult (Darting) female. (b) All the 40-day-old males exhibited precopulatory behaviour in the range of the repertoire displayed by adult animals. (c) Precopulatory activity of juvenile (45-day-old) as well as of adult (90-day-old) males exposed to Lordotic female was significantly lower as compared with that exhibited by males toward Darting female. (d) Copulatory readiness of males increased with the age, in fact, all animals aged from 75-135 day were able to pass from the precopulatory into the copulatory phase of sexual interaction. (e) Although the 175-day-old males exhibited pronounced precopulatory activity, they did not initiate copulations. The implications of each of these findings are discussed from the point of view of both the developmental aspects and the stimulus-response relationships. To sum up, the development of normal flow of sexual behaviour of male rats proceeds simultaneously with the development of physiological and morphological parameters. The appearance of precopulatory behaviour is less dependent on the internal (hormonal) readiness than copulatory behaviour. The connection of both phases, i.e. precopulatory and copulatory, is terminated at about Day 75, and is the key moment of sexual interaction from the point of view of reproductive success. In fact, a successful course of sexual interaction is codetermined by the intensity of behavioural stimuli and/or by the completeness of proceptive patterns provided by the female partner. It is clear that the reproductive process cannot be completed without some degree of communication. The deterioration of sexual interaction found in males aged 175 day seems to be the consequence of their absolute heterosexual abstinence.(ABSTRACT TRUNCATED AT 400 WORDS)     

Density changes and habitat shift of great grey shrike <Emphasis Type="Italic">Lanius excubitor</Emphasis> during the non-breeding season

Bird population density and their behaviour during non-breeding periods are determined mainly by meteorological conditions which force birds to use alternative strategies — migration to areas with more advantageous conditions or adaptation to existing conditions. During the 2002/03–2004/5 non-breeding seasons in the open habitats of the Kotlina Orawsko-Nowotarska valley (S Poland) studies on population dynamics, behaviour and habitat use of great grey shrike were conducted. Results were grouped into four meteorological periods (autumn, early winter, winter and early spring). Density changes were seen between subsequent seasons (from 0.34 to 1.9 ind./10 km), as well as between meteorological periods (from 0.48 to 2.70 ind./10 km). Perching was the most frequently observed behaviour. The foraging habitats used changed in frequency. In subsequent meteorological periods a decrease of open habitats used was noted with a simultaneous increase in afforestations used. These changes did not depend on lasting snow cover. Changes in vegetation type used during hunting were not observed. Great grey shrikes most frequently used natural perches (trees, shrubs and high vegetation).     

Direct and indirect calorimetry measurements during the annual growth cycle of juvenile frogs Rana ridibunda P

A thermodynamic study of the energetic metabolism in juvenile amphibians was conducted over an annual cycle of growth. The total energy flux (delta H = enthalpy variation) was measured with direct microcalorimetry and accounted for the sum of all metabolic pathways. Indirect calorimetry, oxygen consumption measurements (VO2), provides the values for the oxidative metabolism-dependent energy. A comparison between the results of both techniques simultaneously performed, provides for the calculation of the energetic efficiency, which indicates the respective importance of aerobic and anaerobic metabolisms during the annual biological cycle. It is clear that oxidative metabolism does not represent all, nor even a constant percentage of the total energy production of the frog, Rana ridibunda. The ration (Formula: see text) varied between 0.72 and 1.00, according to the season and the feeding or fasting periods. These results are discussed with special reference to the ecophysiology and behaviour of this species.     

Adaptive filter mechanisms in human vision

As a result of our experiments we find that the absolute visibility of simple edge and bar patterns is determined by a cooperation between the maximum amplitude and the difference between the maximum gradients occurring in the patterns. Proceeding from the assumption that the second spatial derivative represents a basic mechanism in our visual system (Mach-bands, effects of masking between narrow lines and sharp edges, existence of even-symmetrical receptive fields in the retina and the LGN), we suggest a nonlinear summation device which produces the difference between gradients as a sum over the second derivative. Expressed in a slightly different manner we assume that the sum over the excitation embodied in a Mach-band acts as criterion during the absolute visibility of edge and bar patterns.     

Assessing pharmacokinetic variability directly induced by drug intake behaviour through development of a feeding behaviour-pharmacokinetic model

Variability in drug intake is increasingly recognized as a major source of variability in drug response. The non-uniform access to medicated feed, influenced by swine individual feeding behaviour, is a determinant of antibiotic exposure, recalling the intrinsic similarity with human compliance to drug regimens. In this paper, we developed a feeding behaviour-pharmacokinetic (FBPK) model of in-feed chlortetracycline (CTC) and established, in a definite way, the effect of feeding behaviour and its induced pharmacokinetic (PK) variability. Based on reported animal behaviour, we mathematically formulated swine feeding behaviour by incorporating its main characteristics: intense feeding periods that repeat on a daily basis and random feeding periods of free access to feed, along with growth stage factors. This behaviour model was then integrated into a PK model of CTC. Moreover, we analysed the effect of each feeding behaviour component and assessed the corresponding PK variability. We have been able to delineate the impact of different feeding behaviour components and characterize the induced PK variability. We have compared different therapeutic assumptions to our model and shown that random features underlying the feeding behaviour have dramatic influence on the PK variability. A practical tool to adopt the dosing regimen in terms of dose and age has been proposed. The method developed here can be generalized to other therapeutic contexts and incorporated into medical practice, particularly to make long-term projections of drug-intake behaviour, to explain possible treatment failure and guide practitioners in adjusting the dosing regimen.     

Variation in depth of whitetip reef sharks: does provisioning ecotourism change their behaviour?

In the dive tourism industry, shark provisioning has become increasingly popular in many places around the world. It is therefore important to determine the impacts that provisioning may have on shark behaviour. In this study, eight adult whitetip reef sharks Triaenodon obesus were tagged with time-depth recorders at Osprey Reef in the Coral Sea, Australia. Tags collected time and depth data every 30?s. The absolute change in depth over 5-min blocks was considered as a proxy for vertical activity level. Daily variations in vertical activity levels were analysed to determine the effects of time of day on whitetip reef shark behaviour. This was done for days when dive boats were absent from the area, and for days when dive boats were present, conducting shark provisioning. Vertical activity levels varied between day and night, and with the presence of boats. In natural conditions (no boats present), sharks remained at more constant depths during the day, while at night animals continuously moved up and down the water column, showing that whitetip reef sharks are nocturnally active. When boats were present, however, there were also long periods of vertical activity during the day. If resting periods during the day are important for energy budgets, then shark provisioning may affect their health. So, if this behaviour alteration occurs frequently, e.g., daily, this has the potential to have significant negative effects on the animals?? metabolic rates, net energy gain and overall health, reproduction and fitness.     

Oviposition behaviour in Drosophila melanogaster: Genetic and behavioural decoupling between oviposition acceptance and preference for natural fruits

In phytophagous insects, oviposition behaviour is an important component of habitat selection and, given the multiplicity of genetic and environmental factors affecting its expression, is defined as a complex character resulting from the sum of interdependent traits. Here, we study two components of egg-laying behaviour: oviposition acceptance (OA) and oviposition preference (OP) in Drosophila melanogaster using three natural fruits as resources (grape, tomato and orange) by means of no-choice and two-choice experiments, respectively. This experimental design allowed us to show that the results obtained in two-choice assays (OP) cannot be accounted for by those resulting from no-choice assays (OA). Since the genomes of all lines used are completely sequenced, we perform a genome-wide association study to identify and characterize the genetic underpinnings of these oviposition behaviour traits. The analyses revealed different candidate genes affecting natural genetic variation of both OA and OP traits. Moreover, our results suggest behavioural and genetic decoupling between OA and OP and that egg-laying behaviour is plastic and context-dependent. Such independence in the genetic architectures of OA and OP variation may influence different aspects of oviposition behaviour, including plasticity, canalization, host shift and maintenance of genetic variability, which contributes to the adoption of adaptive strategies during habitat selection.     

Toward optimized temperature sum parameterizations for forecasting the start of the pollen season

The start date of flowering of allergenic species is of great interest in the context of allergy. Such forecasts can help to plan the therapy and design the medical treatment. For this purpose, temperature sum models are usually employed. Designing temperature sum models requires the selection of different parameters such as the base temperature and the start date for the temperature sum. However, the optimal parameterization is often unknown and varies depending on location and species. The purpose of this study was to systematically test parameterizations of temperature sum models based on 12 Swiss pollen stations. The examined taxa include Corylus, Alnus, Fraxinus, Betula, and Poaceae. We tested the simple thermal model type (forcing-only model hereafter) which relies solely on forcing temperatures and the sequential model type that includes also chilling temperatures. The mean absolute error was used to assess the performance of the models. Our study shows that the sequential model could not achieve a discernible reduction of the (statistical) error compared to the forcing-only model for all taxa. The mean absolute error lies roughly between 2 and 4 days with the lowest values for Betula. The optimized parameterizations in combination with temperature forecast and the climatological mean were used during the 2012 pollen season to provide daily updated forecasts of the start of flowering for all five taxa. Improvements of the models could possibly be achieved by testing additional temperature parameters as well as other meteorological factors such as precipitation or irradiation. Identification of a process-oriented model with high statistical performance for all stations would facilitate the implementation in numerical pollen dispersion models.     

Critical periods for foetal mortality in gilts identified by analysing the length distribution of mummified foetuses and frequency of non-fresh stillborn piglets

The objective of this study was to investigate the timing of foetal mortality in gilts of a segregating F2 cross of Large White and Meishan pigs on the basis of the length distribution of mummified foetuses and the frequency of non-fresh stillborn piglets in order to establish whether critical periods for foetal mortality exist. All expelled conceptuses and placentae of 192 farrowing gilts with a normal health status were meticulously investigated to recover all mummified foetuses. The length of each mummified foetus was measured. The predicted number of foetuses present per gilt at the early foetal stage of gestation was calculated as the sum of numbers of mummified foetuses and non-fresh stillborn, fresh stillborn and liveborn piglets. Foetal loss was calculated as the sum of mummified foetuses and non-fresh stillborn piglets. The average foetal mortality rate per gilt was 8.7%. In total 162 mummified foetuses were found (average 0.84 per litter), ranging in length from 0.4 to 33.0 cm. This indicates a range in foetal age at death of approximately 35-100 days. Although mummified foetuses of all lengths within the above mentioned range were found, relatively many had a length of less than 4 cm or of 10-21 cm. The total number of non-fresh stillborn piglets (i.e. late foetal deaths) was 58 (average 0.30 per litter). It can be concluded that foetal mortality occurred in these gilts throughout the period from day 35 to term, with relatively high incidences at the early foetal stage (days 35-40), shortly after mid-pregnancy (days 55-75) and after approximately day 100 of gestation. These three periods coincide with reported periods of change in porcine placental growth.     

Cross-trait familial resemblance for body fat and blood pressure: familial correlations in the Québec Family Study.

Cross-trait resemblance between body fat and blood pressure (BP) was examined among families in the Québec Family Study by using a bivariate familial correlation model assessing both intraindividual (e.g., comparison of father's body fat with his own BP) and interindividual (e.g., comparison of father's body fat with son's BP) cross-trait correlations. Each of six body-fat measures-(i) percent body fat, (ii) body-mass index, (iii) the sum of six skinfolds, (iv) the ratio of the sum of six skinfolds to total fat mass, (v) the ratio of the trunk skinfold sum to the extremity skinfold sum, and (vi) the regression of the trunk-extremity skinfold ratio on the sum of six skinfolds--was analyzed separately with systolic BP and with diastolic BP. Results showed that (1) upper-body fat was the strongest interindividual correlate of BP (especially the correlation of trunk-extremity ratio with diastolic BP), suggesting shared pleiotropic genetic and/or common familial environmental effects; (2) summary body-fat measures either were inconsistent (in the case of both percent body fat and sum of six skinfolds) or gave no evidence of interindividual cross-trait resemblance with BP (in the case of body-mass index); and (3) intraindividual resemblance between the sum of six skinfolds and BP largely vanished once the skinfold sum was adjusted for fat mass, suggesting that the intraindividual association may be mediated largely by the absolute amount of subcutaneous fat rather than by the subcutaneous proportion. Finally, the magnitude of the spouse resemblance for the trunk-extremity ratio with diastolic BP suggests that a significant proportion of the resemblance may be due to environmental influences. In summary, our investigation confirms a heritable link between BP and truncal-abdominal fat as predicted by the metabolic-syndrome hypothesis. That this result is obtained in primarily normotensive, nonobese families, suggests the connection involves normal metabolic paths.     

Widening inequality of health in northern England, 1981-91.

OBJECTIVE--To identify relative and absolute changes in mortality in the Northern region of England between 1981 and 1991. DESIGN--1981 and 1991 census data were used to rank 678 wards on an index of material deprivation composed of four variables (unemployment, car ownership, housing tenure, household overcrowding). Standardised mortality ratios (all causes) were calculated for various periods between 1981 and 1991 and for different age categories. SETTING--Counties of Cleveland, Cumbria, Durham, Northumberland, and Tyne and Wear. RESULTS--During 1981-91 mortality differentials widened between the most affluent and deprived fifths of wards in all age categories under 75 years. The decline in the relative position of the poorest areas was particularly great, and there was no narrowing of inequalities across the remainder of the socioeconomic spectrum. In absolute terms, there were improvements in mortality in all age categories in the most affluent areas. In the poorest areas improvements in the 55-64 age group were balanced by increased mortality among men aged 15-44, a slight rise among women aged 65-74, and static rates among men aged 45-54. CONCLUSIONS--These results re-emphasise the case for linking mortality patterns with material conditions rather than individual behaviour.     

Effects of previous plant infestation on sieve element acceptance by two aphids

Probing behaviour as affected by a previous infestation was studied in two aphid species on their respective host plants. Probing behaviour by Aphis fabae (reported to have beneficial effects when living in colonies) and Rhopalosiphum padi (without known beneficial effects) was studied using the electrical penetration graph (EPG) technique. In A. fabae the main effects were longer and more continuous sap ingestion, and less salivation into sieve elements before sap ingestion. These suggest phloem factors. Nevertheless, mesophyll and non-vascular tissues are likely to be involved to a lesser extent, as reflected by fewer non-probing periods before the first phloem phase on previously colonised leaves as compared to clean leaves. Total honeydew production increased on a previously colonised leaf due to the prolonged sap ingestion periods but the excretion rate was not affected, indicating that the ingestion rate remained unaltered. R. padi did not show responses to previous colonisation. It is hypothesized that the changes in probing behaviour are due to changed plant properties, chemical contents of sieve element sap and/or physiological changes induced by the saliva from the colony.     

The indices of rat open-field behavior and the characteristics of the survival and functional recovery of the CNS following circulatory arrest

In experiments on rats it has been shown that for prognostication of successful reanimation after the clinic death of different duration (5, 10, 15 min) correlative interactions between the parameters of behaviour in the open field before blood circulation cessation are more essential than their absolute values. Highly significant correlation coefficients (0.7 and more) between the majority of behaviour parameters were typical for the group of animals which had survived after a prolonged blood circulation cessation (15 min); for rats rehabilitated after 5- and 10-min cessation of the blood circulation--between the characteristics reflecting, basically, the motor-investigating component of the behaviour. In groups of died animals (independently on the duration of clinic death) correlation profile was restricted to characteristics determining only the character of the motor activity. Particular significance is underlined of emotionally psychic components of the behaviour for complete CNS restoration after a prolonged blood circulation cessation in comparison with the shorter ones.     

Morphometric studies of pancreas islets of rats after subphrenic vagotomy]

Analysis of the morphometric data showed that 7 days after vagotomy significant changes ocurred in the pancreatic islets, mainly as a result of variation in B cells. At later periods (45 and 90 days after surgery) normalization of some morphofunctional parameters is noted, however, absolute restoration is not achieved.     

Investigating Annual Diving Behaviour by Hooded Seals (Cystophora cristata) within the Northwest Atlantic Ocean

With the exception of relatively brief periods when they reproduce and moult, hooded seals, Cystophora cristata, spend most of the year in the open ocean where they undergo feeding migrations to either recover or prepare for the next fasting period. Valuable insights into habitat use and diving behaviour during these periods have been obtained by attaching Satellite Relay Data Loggers (SRDLs) to 51 Northwest (NW) Atlantic hooded seals (33 females and 18 males) during ice-bound fasting periods (2004−2008). Using General Additive Models (GAMs) we describe habitat use in terms of First Passage Time (FPT) and analyse how bathymetry, seasonality and FPT influence the hooded seals’ diving behaviour described by maximum dive depth, dive duration and surface duration. Adult NW Atlantic hooded seals exhibit a change in diving activity in areas where they spend >20 h by increasing maximum dive depth, dive duration and surface duration, indicating a restricted search behaviour. We found that male and female hooded seals are spatially segregated and that diving behaviour varies between sexes in relation to habitat properties and seasonality. Migration periods are described by increased dive duration for both sexes with a peak in May, October and January. Males demonstrated an increase in dive depth and dive duration towards May (post-breeding/pre-moult) and August–October (post-moult/pre-breeding) but did not show any pronounced increase in surface duration. Females dived deepest and had the highest surface duration between December and January (post-moult/pre-breeding). Our results suggest that the smaller females may have a greater need to recover from dives than that of the larger males. Horizontal segregation could have evolved as a result of a resource partitioning strategy to avoid sexual competition or that the energy requirements of males and females are different due to different energy expenditure during fasting periods.     

Heat capacity analysis of oxidized Escherichia coli thioredoxin fragments (1--73, 74--108) and their noncovalent complex. Evidence for the burial of apolar surface in protein unfolded states.

We have calculated the absolute heat capacities of fragments 1--73 (N fragment) and 74--108 (C fragment) from thioredoxin, their complex and the uncleaved protein, from the concentration dependence of the apparent heat capacities of the solutions determined by differential scanning calorimetry. We find that, while the absolute heat capacities of uncleaved, unfolded thioredoxin and the C fragment are in good agreement with the theoretical values expected for fully solvated chains (calculated as the sum of the contributions of the constituent amino acids), the absolute heat capacities of the N fragment and the unfolded complex are about 2 kJ x K(-1) x mol(-1) lower than the fully solvated-chain values. We attribute this discrepancy to burial of the apolar surface in the N fragment (as burial of the polar area is expected to lead to an increase in heat capacity). Illustrative calculations suggest that burial of about 1000--1600 A(2) of apolar surface takes place in the N fragment (probably accompanied by the burial of a smaller amount of polar surface). In general, this work is supportive of heat capacity measurements on protein fragments being useful as probes of surface burial in studies to characterize protein unfolded states and the high regions of protein folding landscapes.