Análise estatística da distribuição de Poisson

The general properties of POISSON distributions and their relations to the binomial distribuitions are discussed. Two methods of statistical analysis are dealt with in detail: X2-test. In order to carry out the X2-test, the mean frequency and the theoretical frequencies for all classes are calculated. Than the observed and the calculated frequencies are compared, using the well nown formula: f(obs) - f(esp) 2; i(esp). When the expected frequencies are small, one must not forget that the value of X2 may only be calculated, if the expected frequencies are biger than 5. If smaller values should occur, the frequencies of neighboroughing classes must ge pooled. As a second test reintroduced by BRIEGER, consists in comparing the observed and expected error standard of the series. The observed error is calculated by the general formula: δ + Σ f . VK n-1 where n represents the number of cases. The theoretical error of a POISSON series with mean frequency m is always ± Vm. These two values may be compared either by dividing the observed by the theoretical error and using BRIEGER's tables for # or by dividing the respective variances and using SNEDECOR's tables for F. The degree of freedom for the observed error is one less the number of cases studied, and that of the theoretical error is always infinite. In carrying out these tests, one important point must never be overlloked. The values for the first class, even if no concrete cases of the type were observed, must always be zero, an dthe value of the subsequent classes must be 1, 2, 3, etc.. This is easily seen in some of the classical experiments. For instance in BORKEWITZ example of accidents in Prussian armee corps, the classes are: no, one, two, etc., accidents. When counting the frequency of bacteria, these values are: no, one, two, etc., bacteria or cultures of bacteria. Ins studies of plant diseases equally the frequencies are : no, one, two, etc., plants deseased. Howewer more complicated cases may occur. For instance, when analising the degree of polyembriony, frequently the case of "no polyembryony" corresponds to the occurrence of one embryo per each seed. Thus the classes are not: no, one, etc., embryo per seed, but they are: no additional embryo, one additional embryo, etc., per seed with at least one embryo. Another interestin case was found by BRIEGER in genetic studies on the number os rows in maize. Here the minimum number is of course not: no rows, but: no additional beyond eight rows. The next class is not: nine rows, but: 10 rows, since the row number varies always in pairs of rows. Thus the value of successive classes are: no additional pair of rows beyond 8, one additional pair (or 10 rows), two additional pairs (or 12 rows) etc.. The application of the methods is finally shown on the hand of three examples : the number of seeds per fruit in the oranges M Natal" and "Coco" and in "Calamondin". As shown in the text and the tables, the agreement with a POISSON series is very satisfactory in the first two cases. In the third case BRIEGER's error test indicated a significant reduction of variability, and the X2 test showed that there were two many fruits with 4 or 5 seeds and too few with more or with less seeds. Howewer the fact that no fruit was found without seed, may be taken to indicate that in Calamondin fruits are not fully parthenocarpic and may develop only with one seed at the least. Thus a new analysis was carried out, on another class basis. As value for the first class the following value was accepted: no additional seed beyond the indispensable minimum number of one seed, and for the later classes the values were: one, two, etc., additional seeds. Using this new basis for all calculations, a complete agreement of the observed and expected frequencies, of the correspondig POISSON series was obtained, thus proving that our hypothesis of the impossibility of obtaining fruits without any seed was correct for Calamondin while the other two oranges were completely parthenocarpic and fruits without seeds did occur.

Análise de poliembrionia em Citrus, máxime em toranjas

1 - This paper is a joined publication of the Dept. of Genetics, Escola Superior de Agricultura "Luiz de Queiroz", University of São Paulo, and Secção de Citricultura e Frutas Tropicais, Instituto Agronômico, de Campinas, and deal with the number of seed per fruit and the polyembryony in Citrus, with special reference to the pummelos (C. grandis). 2 - For C. pectinifera, hibrid limon x acid lime, C. histrix and Citrus sp. the mean of seeds per fruit is 5,8 - 17,3 - 30,2 -94,6; for 14 pummelos the average was 100 and the range of variation 11 to 185 seeds per fruit. For the four above mentioned Citrus the cotyledons were classified into 3 types: big (near 8 mm.), medium (near 6 mm) and small (near 4 mm) and for the pummelos there was only one size of cotyledons, about 10 mm (table 1). 3 - The polyembryony was determined by two processes: a) counting of the embryos in the mature seed; b) counting after germination in flats or seed-beds. The rasults obtained are in table 2; the process a gave larger results than process b.The following pummelos are monoembryonics: melancia, inerme, Kaune Paune, sunshine, vermelha, Singapura, periforme, Zamboa, doce, Indochina, Lau-Tau, Shantenyau and Siamesa. Sometime it was found a branching of the main stem that gave a impression of polyembryonic seeds. 4 - It was shown by the x2 test that the distribution of embryo numbers fits the Poisson's series (table 2) in both processes. 5 - It is discussed in table 2 the variability of polyembryony for the following cases: a) between plants, within years. The teste for the differences of mean of polyembryony between 3 plants of C. pectinifera is statistically significant in 1948 and 1949; b) between yields of the same plant, within year. The same case of C. pectinifera may be used for this purpose; c) between process, within year. It is shown in table 3, for C. pectinifera and the hibrid "limon x acid lime" that there is a statistically signicicant between both process above mentioned.

Estudos sôbre a distribuição do radiozinco no tomateiro (Lycopersicum esculentum)

The present paper relates a few experiments carried out to study the distribution of radiozinc in tomato seedlings as well its translocation in adult plants. 1 Tomato seedlings grown in nutrient solution were given during two weeks ca. 0.2 microcuries of Zn65C112; the seedlings were then harvested, and after careful washing of the roots with distiled water and diluted HC1, a radioautograph was taken (Fig. 1); this shows that the whole seedling, including the first cotyledon leaves are active; the Zn65 is preferentially concentrated, however, in the root system; this fact suggests that finding by ROSSITER (1953) that the roots of plants growing under natural conditions had a very high concentration of zinc is not due to soil contamination being ascribable to the physiology of such micronutrient. 2. The translocation of radiozinc was demonstrated by three different ways. In the first case, Zn65Cl2 was supplied to the nutrient solution during four weeks; three weeks after the addition of the radiozinc was discontinued, the newer leaves were detached and a radioautograph was taken (Fig. 2); the activity therein found shows that translocation occurred from the old leaves to the young ones. In the next experiment, identical procedure was followed but, instead of a radioautograph, different parts of the plant were ashed and counted; it was verified that 66.6 per cent of the activity supplied was absorbed; due to a great fixation within the roots only 5,6 per cent was translocated to the newer organs. In the third trial, Zn65C12 was directly applied to both upper and lower surfaces of medium aged leaves; counting the separated organs revealed that: 24.2 per cent of the activity applied hab been absorbed; however, 13.7 per cent translocated to the rest of the plant including to the roots. The author wishes to express his gratitude to Dr. P. R. Stout, Chairman, Dept. of Plant Nutrition, University of California, Berkeley and to Mr. A. B. Carlton for their help during part of this work. O autor agradece ao Laboratório de Isótopos da Universidade de São Paulo, na pessoa do Dr. T. Eston, o fornecimento do Zn65 usado neste trabalho.

Effects of ethephon and urea on ripening of fruits and leaf abscission of coffee (Coffea arábica L.)

A field experiment was carried out to investigate the effects of ethephon and urea on ripening of fruits and leaf abscission of coffee plant. Ethephon (2-chloroethane phosphonic acid) sprays were applied to green Coffea arábica berries 26 days before counting date in concentrations of 0.5 and 0.25 ml/1 from Ethrel (240 a.i./l). The chemical accelerated the onset of fruit ripening at both concentrations. The efficacy of ethephon was increased adding urea. Ethephon 0.5 ml/1 promoted abscission of leaves and low concentration reduced shedding of leaves. The treatments did not affect the growth and production on the next harvest.

Dinâmica reprodutiva de Oligosarcus jenynsii e O. robustus (Characiformes, Characidae) na lagoa Fortaleza, Rio Grande do Sul, Brasil

Oligosarcus jenynsii (Günther, 1864) and O. robustus Menezes, 1969 are fish species distributed in Rio Grande do Sul, Brazil, Uruguay, and northern Argentina. The reproductive period and recruitment, sex ratio, absolute and relative fecundity, and body length at first gonadal maturation of the two carnivorous species from Fortaleza Lagoon were analized. The specimens were sampled monthly, from May 2000 to April 2001, with fishing effort of 24 hours/month, using stationary gillnets of different mesh sizes and seine net (three samples per edge). The records of each individual included total length, total weight, gonad weight, sex and gonadal maturity stage. The reproductive period of both O. jenynsii and O. robustus ranges from May/June to November/December, according to the bimonthly variation of the mean values of gonosomatic index, and the relative frequencies of the gonadal maturation stages. Recruitment of new individuals to the population occurs from November/December to March/April. The sex ratio is different from 1:1 for O. jenynsii and similar to 1:1 for O. robustus. The mean absolute fecundity, calculated by counting sub-sampled oocytes from mature females, was 14,483 oocytes for O. jenynsii, and 16,308 oocytes for O. robustus. The first maturation curve shows that O. jenynsii begins to reproduce between 84 mm and 104 mm (total length), and O. robustus between 126 mm and 146 mm, probably at similar ages.

Influence of seasonal changes in daily activity and annual life cycle of Geotrigona mombuca (Hymenoptera, Apidae) in a Cerrado habitat, São Paulo, Brazil

The foraging activity of Geotrigona mombuca Smith, 1863 was studied under natural conditions aiming to verify the influence of seasonal changes on daily flight activity and annual cycle of the colony. Daily flight activity was monitored for a year based on the observation and counting of foragers leaving and entering the hive, as well as the kind of material transported and meteorological factors such as day time, temperature and relative humidity. The influence of seasonal changes was evidenced by alterations on daily rhythm of flight activity and by differences on transportation of food resources, building material and garbage. These data indicate that forager behavior is related to daily microclimate conditions and it is synchronized with the requirements of colony annual cycle, which determines an intense pollen collection in the summer. Thus, the recomposition of the intranidal population in spring and summer can be ensured, which is characterized both for a higher intensity of flight activity and increase in garbage and resin transport, as well as the swarming process in the spring. In this way, an action targeting the preservation or management of the species in a natural environment should consider that survival and reproduction of the colony depends greatly on the amount of available pollen in late winter.

A vegetação no município de Ilhéus Estado da Bahia: IV - Caracaterísticas analíticas e periodicidade sociológica

It is well-known that diverse groups of vegetation with an analogous but not identical floristic composition show an ecological similarity which leads to a determined type of vegetation. Starting from this fact it becomes evident that the scope of phytosociological work is the establishing of the significance of the species within the association and the discovery of the rules which govern associations. The floristic surveys made in the field have to be analysed statistically so as to obtain satisfactory results. The usefulness of this method depends largely on the possibilities of comparing the results with previous studies of the same kind, in the same country, or elsewhere. The method used in this paper is that of measuring circumferences and counting individuals in the different associations studied because it permits the presentation of the results in tables which show the phytosociological complexity of the Brazilian rain-forests. The classical method of characteristics is valuable because the more evolved an association is the less sociable are the species it contains, so that such groups do not show clear differences between species but rather between sinusia or strata of individuals. Five tables are presented in which several of the qualitative and quantitative characteristics are studied with a view to discussing their value in relation to groups and species. They are: I - Abundance (number of individuals). II - Density (distance in meters between the individuals belonging to each stratum). III - Basal coverture (circles measured in square meters of the mean projection of the individuals on the surface). IV - Basal area (mean circle in square meters occupied by individuals on the surface). V - Frequency, abundance and sociability in relation to occurrence. TABLE I. This table indicates first the number of individuals in relation to the sinusia studied: next, the sum total of the individuals belanging to the strata are given for each association, thus providing the numeric value of the sinusia: finally, the relation between the total number of individuals in the association and the total for the sinusium thus fursnishing the abundance per sinusium, in the classic sence, that is the percentage, or rather the relative number, of the elements which compose the group. CONCLUSIONS. The general character of abundance of the regional vegetation of Ilheos may be summed up in the following way: as an association evolves towards permanent equilibirum the number of individuals the inferior strata diminishes in relation to those of the superior strata which increase. For the shrub sinusium, two important facts were observed: a) in a given association the number of elements of the inferior strata diminishes as the diameter of the individuals increases; b) the percentage of individuals belonging to the shrub sinusium in the sere diminishes as the association evolve. In the subarboreal sinusium it is seen that: in the sere the number of subarboreal individuals does not vary much; whereas in the climax or the prisere there is a fall owing to the equilibrum of the biologic forms. In the arboreal sinusium the following conclusion can be deduced from analogous facts: the number of individuals of the lower strata diminishes as circumference increases. Also, in the sere there is a progressive sequence for the individuals belonging to the superior strata. TABLE II. The relation between the mean distances of individuals belonging to the same stratum and the area of an association is equal to the density. The table shows that the mean density of the association and the distance between the individuals belonging to the strata of the same sinusium in relation to the total number of individuals belonging to the association. CONCLUSIONS. As rule, the density of individuals in the associations studied follows a very general character or at least a regional one: the distance between the individuals in the diverse strata varies according to their abundance and sociability. Two other facts of some sociological importance are: a) in identical strata of the same sere the density of individuals oscillates in an analogous manner in teh subclimaces and varies in the stages which have reached equilibrium. b) the density of individuals varias in accordance with the sinusium and the distances between individuals of the same sinusium varg in accordance with the strata. TABLE III. This table presents the mean basal individual coverture, that is the mean projection of the frond of the various individuals belonging to the same stratum. The means were obtained by measurement in the field, of 100 individuals belonging to each stratum and their projection on the surface. In the latoratory these measurements were converted into mean circles (in square meters) and the result was multiplied by the individuals belonging to the strata corresponding to the sinusium of each association. The result obtained is named basal coverture. CONCLUSIONS. As a rule, the basal coverture of the vegetation of the county of Ilhéus indicates that: in the evolution of the vegetation the basal coverture of the arbustive sinusium diminishes progressively whereas that of the arboreal one increases. The special norms obtained are: 1) in the shrub sinusium the basal coverture seems to follow a uniform norm, that is, in stages of evolution of the subclimax the basal coverture oscillates with a certain uniformity. 2) in the subarboreal sinusium this fact is related to the vitality and age of the species, as in the subclimax the number of young trees is large and the vitality of the species very variable. This permits the conclusion that: in the sere the basal coverture increases with the evolution of the vegetation and diminishes when an equilibrium is reached. 3) in the tree sinusium the climax association of the prisere and subsere seem to obey a binomial rule, as the coverture (density-abundance) increases until a determined stratum is reached and...

Bounding right-arm rotation distances

Rotation distance quantifies the difference in shape between two rooted binary trees of the same size by counting the minimum number of elementary changes needed to transform one tree to the other. We describe several types of rotation distance, and provide upper bounds on distances between trees with a fixed number of nodes with respect to each type. These bounds are obtained by relating each restricted rotation distance to the word length of elements of Thompson's group F with respect to different generating sets, including both finite and infinite generating sets.

Random graphs on surfaces

Counting labelled planar graphs, and typical properties of random labelled planar graphs, have received much attention recently. We start the process here of extending these investigations to graphs embeddable on any fixed surface S. In particular we show that the labelled graphs embeddable on S have the same growth constant as for planar graphs, and the same holds for unlabelled graphs. Also, if we pick a graph uniformly at random from the graphs embeddable on S which have vertex set {1, . . . , n}, then with probability tending to 1 as n → ∞, this random graph either is connected or consists of one giant component together with a few nodes in small planar components.

Visió per computador en una plataforma basada en un DSP

En aquest projecte s'usa el servidor de vídeo d'Axis Communications 242s IV, basat en el DSP TMS320DM642 de Texas Instruments, com a plataforma per a la implementació d'un algorisme d'extracció de fons i pel desenvolupament d'una solució completa de comptatge de persones per a càmera zenital. En el primer cas, s'ha optimitzat i comparat el rendiment de l'algorisme amb el d'una versió per a PC per a avaluar el DSP com a processador per a lamigració d'una aplicació completa de vídeovigilància. En el segon cas s'han integrat tots els components del servidor en el desenvolupament del comptador per avaluar la plataforma com a base per a solucions completes.

Multifractal portrayal of the Swiss population

Fractal geometry is a fundamental approach for describing the complex irregularities of the spatial structure of point patterns. The present research characterizes the spatial structure of the Swiss population distribution in the three Swiss geographical regions (Alps, Plateau and Jura) and at the entire country level. These analyses were carried out using fractal and multifractal measures for point patterns, which enabled the estimation of the spatial degree of clustering of a distribution at different scales. The Swiss population dataset is presented on a grid of points and thus it can be modelled as a "point process" where each point is characterized by its spatial location (geometrical support) and a number of inhabitants (measured variable). The fractal characterization was performed by means of the box-counting dimension and the multifractal analysis was conducted through the Renyi's generalized dimensions and the multifractal spectrum. Results showed that the four population patterns are all multifractals and present different clustering behaviours. Applying multifractal and fractal methods at different geographical regions and at different scales allowed us to quantify and describe the dissimilarities between the four structures and their underlying processes. This paper is the first Swiss geodemographic study applying multifractal methods using high resolution data.

Pharmacokinetic aspects of Tert-Butylaminoethyl disulfide, an experimental drug against schistosomiasis in mice

A preliminary study of the pharmacokinetic parameters of t-Butylaminoethyl disulfide was performed after administration of two different single doses (35 and 300 mg/kg) of either the cold or labelled drug. Plasma or blood samples were treated with dithiothreitol, perchloric acid, and, after filtration, submitted to further purification with anionic resein. In the final step, the drug was retained on a cationic resin column, eluted with NaCl 1M and detected according to the method of Ellman (1958). Alternatively, radioactive drug was detected by liquid scintillation counting. The results corresponding to the smaller dose of total drug suggested a pharmacokinetic behavior related to a one open compartment model with the following parameters: area under the intravenous curve (AUC i.v.):671 ± 14; AUC oral: 150 ± 40 µg.min. ml [raised to the power of -1]; elimination rate constant: 0.071 min [raised to the power of -1]; biological half life: 9.8 min; distribution volume: 0.74 ml/g. For the higher dose, the results seemed to obey a more complex undertermined model. Combining the results, the occurence of a dose-dependent pharmacokinetic behavior is suggested, the drug being rapidly absorbed and rapidly eliminated; the elimination process being related mainly to metabolization. The drug seems to be more toxic when administered I.V. because by this route it escapes first pass metabolism, while being quickly distributed to tissues. The maximum tolerated blood level seems to be around 16 µg/ml.

Pathological substrates of cognitive decline in Alzheimer's disease

The progressive development of Alzheimer's disease (AD)-related lesions such as neurofibrillary tangles,amyloid deposits and synaptic loss within the cerebral cortex is a main event of brain aging.Recent neuropathologic studies strongly suggested that the clinical diagnosis of dementia depends more on the severity and topography of pathologic changes than on the presence of a qualitative marker. However, several methodological problems such as selection biases, case-control design,density-based measures, and masking effects of concomitant pathologies should be taken into account when interpreting these data. In last years, the use of stereologic counting permitted to define reliably the cognitive impact of AD lesions in the human brain. Unlike fibrillar amyloid deposits that are poorly or not related to the dementia severity, the use of this method documented that total neurofibrillary tangles and neuron numbers in the CA1 field are the best correlates of cognitive deterioration in brain aging. Loss of dendritic spines in neocortical but not hippocampal areas has a modest but independent contribution to dementia. In contrast, the importance of early dendritic and axonal tau-related pathologic changes such as neuropil threads remains doubtful. Despite these progresses, neuronal pathology and synaptic loss in cases with pure AD pathology cannot explain more than 50% of clinical severity. The present review discusses the complex structure/function relationships in brain aging and AD within the theoretical framework of the functional neuropathology of brain aging.

Purification and activity standardisation of a (166m)Ho solution.

As part of a project to use the long-lived (T(1/2)=1200a) (166m)Ho as reference source in its reference ionisation chamber, IRA standardised a commercially acquired solution of this nuclide using the 4pibeta-gamma coincidence and 4pigamma (NaI) methods. The (166m)Ho solution supplied by Isotope Product Laboratories was measured to have about 5% Europium impurities (3% (154)Eu, 0.94% (152)Eu and 0.9% (155)Eu). Holmium had therefore to be separated from europium, and this was carried out by means of ion-exchange chromatography. The holmium fractions were collected without europium contamination: 162h long HPGe gamma measurements indicated no europium impurity (detection limits of 0.01% for (152)Eu and (154)Eu, and 0.03% for (155)Eu). The primary measurement of the purified (166m)Ho solution with the 4pi (PC) beta-gamma coincidence technique was carried out at three gamma energy settings: a window around the 184.4keV peak and gamma thresholds at 121.8 and 637.3keV. The results show very good self-consistency, and the activity concentration of the solution was evaluated to be 45.640+/-0.098kBq/g (0.21% with k=1). The activity concentration of this solution was also measured by integral counting with a well-type 5''x5'' NaI(Tl) detector and efficiencies computed by Monte Carlo simulations using the GEANT code. These measurements were mutually consistent, while the resulting weighted average of the 4pi NaI(Tl) method was found to agree within 0.15% with the result of the 4pibeta-gamma coincidence technique. An ampoule of this solution and the measured value of the concentration were submitted to the BIPM as a contribution to the Système International de Référence.

Diagnosi ambiental de les fonts naturals de la zona nord-occidental del Vallès Oriental: el fenomen "garrafaire"

Aquest treball analitza un total de sis fonts naturals situades a la zona nord-occidental del Vallès Oriental amb l’objectiu de determinar-ne la seva freqüentació i en especial centrar-se en el fenomen “garrafaire”. S’ha elaborat un mètode de recompte d’usuaris, s’ha analitzat l’aigua a nivell físico-químic i microbiològic i s’ha portat a terme un sistema de caracterització ambiental d’aquestes fonts. La freqüentació és elevada a quatre de les sis fonts estudiades, de les que només tres són utilitzades habitualment per “garrafaires”. El volum d’ús d’aquestes fonts contrasta amb el control analític de la qualitat de l’aigua, per part de l’administració, que és inexistent en quatre d’elles i insuficient a les restants. La confiança per part dels usuaris cap a la qualitat de l’aigua també difereix dels resultats de les analítiques realitzades, en que l’aigua ha estat qualificada com a no apta per al consum humà en totes elles, exceptuant una única analítica d’una font que ha resultat apta per al consum humà. En conseqüència, caldria un pla de control i seguiment de la qualitat de l’aigua almenys en 4 de les fonts analitzades.