Maturidade sexual morfológica de Aegla platensis (Crustacea, Decapoda, Anomura) no Lajeado Bonito, norte do estado do Rio Grande do Sul, Brasil

O tamanho da primeira maturação sexual (TPM) em Aegla platensis Schmitt, 1942 foi estimado através das mudanças nas proporções de dimensões corporais dos animais. Para isso, foram realizadas coletas mensais, de julho de 2007 a junho de 2008 no Lajeado Bonito (27º25'27''S, 53º24'39''W), um tributário de primeira ordem do Rio da Várzea, município de Frederico Westphalen, Rio Grande do Sul. Foram utilizados 437 machos com comprimento de cefalotórax (CC) variando de 6,00 mm a 31,75 mm e 368 fêmeas, com tamanhos entre 6,08 mm e 27,92 mm de CC. As seguintes dimensões corporais foram mensuradas em todos os indivíduos coletados: comprimento do cefalotórax (CC), largura do abdome (LA), comprimento do própodo do quelípodo direito (CPD) e comprimento do própodo do quelípodo esquerdo (CPE). Após o registro dessas medidas, os animais foram devolvidos ao mesmo local de captura. As análises de maturidade sexual morfológica foram realizadas com auxílio do software Mature 2, nas quais foram utilizadas as medidas de CC, considerada como variável independente e relacionada com as demais dimensões. As relações que melhor se ajustaram para estas análises, em machos, foram CPD x CC (TPM: CC=18,2 mm) e CPE x CC (TPM: CC=20,1 mm) e LA x CC (TPM: CC=16,5 mm) nas fêmeas.

Determinação da maturidade sexual de Ucides cordatus (Crustacea, Brachyura, Ucididae) em duas áreas de manguezal do litoral sul de Pernambuco, Brasil

Este estudo foi desenvolvido com o objetivo de determinar o tamanho da maturidade morfológica e fisiológica de machos e fêmeas em duas populações de Ucides cordatus (Linnaeus, 1763) de Tamandaré, Pernambuco, Brasil. Os caranguejos foram coletados mensalmente (abril/2008 a março/2009) nos manguezais dos rios Ariquindá e Mamucabas, por um catador, através da técnica de braceamento, durante a maré baixa em três áreas distintas de 25 m² cada. Os caranguejos capturados foram separados por sexo e medidos (largura da carapaça, comprimento do própodo do quelípodo dos machos e largura do 5º somito abdominal das fêmeas). Além disso, os caranguejos foram caracterizados em relação ao estágio de desenvolvimento gonadal. Os caranguejos com gônadas imaturas e rudimentares foram considerados jovens, enquanto os demais foram classificados como adultos (gônada em desenvolvimento, desenvolvida, avançada ou esgotada). O tamanho da largura da carapaça no qual 50% da população de U. cordatus foi considerada madura morfologicamente foi de 38,0 mm (machos) e 35,4 mm (fêmeas) em Ariquindá, enquanto para Mamucabas estes valores foram de 37,3 e 32,9 mm, respectivamente. Na determinação da maturidade sexual fisiológica, os machos e fêmeas de Ariquindá foram considerados maduros com 38,5 e 37,8 mm, respectivamente, enquanto em Mamucabas os tamanhos obtidos foram de 36,2 e 35,8 mm. A maturidade morfológica dos machos ocorreu com tamanho superior ao das fêmeas, provavelmente devido ao seu maior investimento em crescimento somático, enquanto as fêmeas investem mais no processo reprodutivo. Os caranguejos provenientes do manguezal de Mamucabas atingiram a maturidade sexual com tamanhos inferiores aos de Ariquindá, provavelmente devido ao maior impacto verificado para este manguezal.

Relative growth and sexual maturity of the freshwater shrimp Palaemon pandaliformis (Crustacea, Palaemonidae) in northeastern of Brazil (Canavieiras, Bahia)

This study comprises the description of relative growth and sexual maturity of a population of Palaemon pandaliformis Stimpson, 1871 in Salsa River (Northeastern Brazil). Samples were collected monthly between September 2009 and August 2010. Females were larger, heavier, and showed a greater allometric coefficient (b) than male specimens. Only carapace length vs. pleura length in females presented a significant difference in the relative growth pattern, indicating a puberty moult. This relationship is strictly correlated to reproduction and its success rate in female shrimps. Estimated carapace length in 50% of mature females (CL50) was 4.53 mm. It was not possible to compare obtained CL50 results due to a lack of studies on this species. Comparison was based on the size of the smallest captured ovigerous female (3.81 CL mm), which is within the scope of recorded size for estuaries located in higher latitudes. This study reveals the lack of research on this genre in freshwater environments on a national and global scale.

Morphological characterization and sex-related differences of the mandible of the armadillos Chaetophractus vellerosus and Zaedyus pichiy (Xenarthra, Dasypodidae), with consideration of dietary aspects

The morphological characteristics of the mandible of adult Chaetophractus vellerosus (Gray, 1865) and Zaedyus pichiy (Desmarest, 1804) were studied to establish its generalized design and to identify inter- and intra- (sexual) specific differences. Morphological descriptions were complemented with the application of univariate and multivariate (analysis of correlation matrices, PCA, discriminant analysis) techniques. The mandible of both species is very similar, and is characterized by elevated condyle, well developed angular process, distinct coronoid process, tooth row which extends to the rear end of the angle between body and ramus, and unfused but firm symphysis. Although both armadillos are omnivorous, a more slender configuration of the jaw in Z. pichiy could be indicative of a better adaptation of its masticatory apparatus to insectivory. The PCA showed an almost total segregation of both species on PC1 (47.7% of the total variance), with C. vellerosus being associated to mandibles taller and with wider body and ramus. Zaedyus pichiy was characterized by heavy loadings of length parameters on PC2 (22.6% of the variance). A small degree of sexual dimorphism was found, with size-based differences in C. vellerosus (larger mandibles in females) and shape-based differences in Z. pichiy (taller mandibles in males, longer ones in females). Correlations between variables were higher in males of both species, indicating a more stable shape of the mandible than in females. The selected parameters to discriminate sexes were the body length of the mandible in C. vellerosus (correct classification: ca. 86% in males, 81% in females), and the height of the mandible at the level of the last tooth in Z. pichiy (near 85% of right assignment in both sexes). The inclusion of a new variable (body length) in the latter species improved the classification of the females to 100%. Teeth are typically 10 in C. vellerosus and 9 in Z. pichiy, but aberrancies in this basic number, such as unilateral or bilateral extra or fewer teeth, are common.

The relative growth and sexual maturity of the freshwater crab Dilocarcinus pagei (Brachyura, Trichodactylidae) in the northwestern region of the state of São Paulo

The aim of the present study was to determine the size at sexual maturity in the freshwater crab Dilocarcinus pagei Stimpson, 1861, from a population located in Mendonça, state of São Paulo, Brazil. The crabs were sampled monthly (July 2005 to June 2007), at Barra Mansa reservoir. The specimens were captured manually or in sieves passed through the aquatic vegetation. The crabs were captured and separated by sex based on morphology of the pleon and on the number of pleopods. The following dimensions were measured: carapace width (CW); carapace length (CL); propodus length (PL); and abdomen width (AW). The morphological analysis of the gonads was used to identify and categorize individuals according to their stage of development. The morphological maturity was estimated based on the analysis of relative growth based on the allometric equation y = ax b. The gonadal maturity was based on the morphology of the gonads by the method CW50 which indicates the size at which 50% of the individuals in the population showed gonads morphologically mature to reproduction. The biometric relationships that best demonstrated the different patterns of growth for the juvenile and adult stages were CW vs. PL for males and CW vs. AW for females (p<0.001). Based on these relationships, the estimated value to morphological sexual maturity was 21.5 mm (CW) in males and 19.7 mm (CW) in females. The determination of the size at sexual maturity and the adjustment of the data based on the logistic curve (CW50) resulted in a size of 38.2 mm for males and 39.4 mm for females (CW). Based on the data obtained for sexual maturity for D. pagei, we can estimate a minimum size for capture of 40 mm (CW). This minimum size allows at least half of the population to reproduce and retains the juveniles and a portion of the adults in the population.

Sexual dimorphism in Amphisbaena nigricauda (Reptilia, Squamata, Amphisbaenidae) from Southeastern Brazil

Amphisbaena nigricauda Gans, 1966 is a small, poorly known amphisbaenid endemic to the restinga of the states of Espírito Santo and Bahia, Brazil. We analyze 178 specimens collected in Vitória municipality, state of Espírito Santo, Brazil, to investigate whether this species show sexual dimorphism in pre-cloacal pores and in morphological characters. Sex was determined by a ventral incision and direct inspection of gonads. A PCA analysis was performed to generate a general body size measurement. A T test and the non-parametric Mann-Whitney test were used to assess whether this species show sexual dimorphism on five morphometric and five meristic characters, respectively. Sex could not be determined in 36 specimens because they were mutilated in the posterior portion of their bodies. The diagnosis of the species is redefined based on this sample size: the smallest number of body annuli changes from 222 to 192, the number of dorsal and ventral segments in an annulus in the middle of the body changes to 9-11/13-16 (instead of 10/16), and the autotomic tail annulus lies between annulus 7-10 (instead of 6-9). The number of tail annuli remained within the known range of variation of the species (19-24). None of the 80 females analyzed showed pre-cloacal pores, whereas within males 59 out of 62 specimens displayed four and two specimens displayed five pre-cloacal pores. A single male did not possess pre-cloacal pores, but showed irregular scales on its cloacal region. Sex-based difference based on presence or absence of pre-cloacal pores as well as males with wider head was seen in other Neotropical amphisbaenids. However, a pattern of body size differences between males and females has not been identified so far in the few amphisbaenid species studied in this regard. Further studies on this taxonomic group are still needed to elucidate the existence of general patterns of sexual dimorphism and to identify the selective pressures driving these patterns.

Corrigendum stable matchings and preferences of couples

We correct an omission in the definition of our domain of weakly responsive preferences introduced in Klaus and Klijn (2005) or KK05 for short. The proof of the existence of stable matchings (KK05, Theorem 3.3) and a maximal domain result (KK05, Theorem 3.5) are adjusted accordingly.

Median stable matching for college admission

We give a simple and concise proof that so-called generalized median stable matchings are well-defined stable matchings for college admissions problems. Furthermore, we discuss the fairness properties of median stable matchings and conclude with two illustrative examples of college admissions markets, the lattices of stable matchings, and the corresponding generalized median stable matchings.

Choosing how to choose: self-stable majority rules and constitutions

Constitutional arrangements affect the decisions made by a society. We study how this effect leads to preferences of citizens over constitutions; and ultimately how this has a feedback that determines which constitutions can survive in a given society. Constitutions are stylized here, to consist of a voting rule for ordinary business and possibly different voting rule for making changes to the constitution. We deffine an equilibrium notion for constitutions, called self-stability, whereby under the rules of a self-stable constitution, the society would not vote to change the constitution. We argue that only self-stable constitutions will endure. We prove that self-stable constitutions always exist, but that most constitutions (even very prominent ones) may not be self-stable for some societies. We show that constitutions where the voting rule used to amend the constitution is the same as the voting rule used for ordinary business are dangerously simplistic, and there are (many) societies for which no such constitution is self-stable rule. We conclude with a characterization of the set of self-stable constitutions that use majority rule for ordinary business.

Procedurally fair and stable matching

We motivate procedural fairness for matching mechanisms and study two procedurally fair and stable mechanisms: employment by lotto (Aldershof et al., 1999) and the random order mechanism (Roth and Vande Vate, 1990, Ma, 1996). For both mechanisms we give various examples of probability distributions on the set of stable matchings and discuss properties that differentiate employment by lotto and the random order mechanism. Finally, we consider an adjustment of the random order mechanism, the equitable random order mechanism, that combines aspects of procedural and "endstate'' fairness. Aldershof et al. (1999) and Ma (1996) that exist on the probability distribution induced by both mechanisms. Finally, we consider an adjustment of the random order mechanism, the equitable random order mechanism.

Some things couples always wanted to know about stable matchings (but were afraid to ask)

It is well-known that couples that look jointly for jobs in the same centralized labor market may cause instabilities. We demonstrate that for a natural preference domain for couples, namely the domain of responsive preferences, the existence of stable matchings can easily be established. However, a small deviation from responsiveness in one couple's preference relation that models the wish of a couple to be closer together may already cause instability. This demonstrates that the nonexistence of stable matchings in couples markets is not a singular theoretical irregularity. Our nonexistence result persists even when a weaker stability notion is used that excludes myopic blocking. Moreover, we show that even if preferences are responsive there are problems that do not arise for singles markets. Even though for couples markets with responsive preferences the set of stable matchings is nonempty, the lattice structure that this set has for singles markets does not carry over. Furthermore we demonstrate that the new algorithm adopted by the National Resident Matching Program to fill positions for physicians in the United States may cycle, while in fact a stable matchings does exist, and be prone to strategic manipulation if the members of a couple pretend to be single.

Stable condorcet rules

We consider the following allocation problem: A fixed number of public facilities must be located on a line. Society is composed of $N$ agents, who must be allocated to one and only one of these facilities. Agents have single peaked preferences over the possible location of the facilities they are assigned to, and do not care about the location of the rest of facilities. There is no congestion. In this context, we observe that if a public decision is a Condorcet winner, then it satisfies nice properties of internal and external stability. Though in many contexts and for some preference profiles there may be no Condorcet winners, we study the extent to which stability can be made compatible with the requirement of choosing Condorcet winners whenever they exist.

Stable coalition structures with fixed decision scheme

This paper studies the stability of a finite local public goods economy in horizontal differentiation, where a jurisdiction's choice of the public good is given by an exogenous decision scheme. In this paper, we characterize the class of decision schemes that ensure the existence of an equilibrium with free mobility (that we call Tiebout equilibrium) for monotone distribution of players. This class contains all the decision schemes whose choice lies between the Rawlsian decision scheme and the median voter with mid-distance of the two median voters when there are ties. We show that for non-monotone distribution, there is no decision scheme that can ensure the stability of coalitions. In the last part of the paper, we prove the non-emptiness of the core of this coalition formation game

Contribuição ao estudo dos Embiídeos: IV. Polimorfismo sexual da região cefálica de Embolyntha batesi Mac lachlan, 1877 (Embiidina, Embiidae)

Em continuação as pesquisas que vimos realizando nos Embiídeos é feito um estudo comparado das peças bucais entre machos e fêmeas de Embolyntha batesi. A cabeça é prognata recoberta por diminutas cerdas. É a região mais resistente do inseto, devido proteger, além de outros órgãos, principalmente, o sistema nervoso. Varia de tamanho nos dois sexos com os índices (comprimento : largura) na fêmea de 1,06 e nos machos de 1,36; a cabeça da fêmea é achatada, enquanto que a dos machos é alongada. Quase tôdas as suturas são visíveis nos sexos, com excessão de algumas, como é o caso da coronal e post-frontal dos machos. De tôdas as suturas, a temporal é a mais interessante, limita a região do vertex com as genas, ao mesmo tempo que origina um sulco profundo, que penetra na cápsula craniana fazendo parte do esqueleto interno da cabeça, e sendo responsável pelo aspecto diferente das mesmas. A sutura temporal, na região ventral, separa as genas das subgenas. A sutura hipostomal, em ambos os sexos, é muito acentuada, e na sua parte mais interna, vêm se inserir os ramos posteriores do tentório, e, ainda lateralmente, as maxilas. O tentório é primitivo, tendo um corpo central, de forma quadrangular e, de cada ângulo parte um ramo; dois anteriores, menores, que se dirigem para a região dorsal onde se bifurcam, indo ter próximo á base das antenas e mandíbulas, e dois ramos posteriores que seguem a direção ventral, indo ter á região hipostomal. As antenas são filiformes, variando o número de segmentos. Os olhos dos machos são reniformes, salientes e grandes, enquanto que os das fêmeas são pequenos, ovais e achatados. O número de omatídeos de macho é 34, e, na fêmea é 41, em uma determinada área. O clípeo quase não se diferencia da fronte, porém encontra-se dividido em anti-clípeo e post-clípeo. A sutura do clípeo-labro é bem acentuada, deixando transparecer, após a diafanização do material, um espessamento da cutícula na sua região mais interna, destinada a implantação dos músculos que movimentam o labro. Na parte ventral o labro apresenta sensilas, que variam quanto a forma, tamanho e estrutura nos dois sexos. As mandíbulas apresentam-se muito diferentes devida sua função, isto é, trituradora nas fêmeas e preensora nos machos. Pela simples morfologia das mandíbulas podemos identificar o sexo nos Embiídeos. Em ambos temos dentes incisivos e molares, porém mais acentuados nas fêmeas. Nos machos a região interna da mandíbula tem a forma côncava, com cutícula...