Convergence to Normality of the Asymptotic Quasi‐Score Function on a Linear Model

The asymptotic quasi‐likelihood method is considered for the model y_t = f_t(θ) + M_t, t = 0,1, …,T where f_tθ) is a linear predictable process of the parameter of interest θ, M_t is a martingale difference, and the nature of E(M_t² | ℱ_t–1) is unknown. This paper is concerned with the limiting distribution of the asymptotic quasi‐score function of such a model. Confidence intervals and hypothesis testing of θ is derived from the limiting distribution. Comparison is made between the estimates obtained through this method and those obtained through the least squares method.     

A comparison of five distance‐based methods for spatial pattern analysis

Abstract. The behaviour of five statistics (extensions of Pielou's, Clark and Evansapos;, Pollard's, Johnson & Zimmer's, and Eberhardt's statistics, which are denoted as P_i, C_e, P_o, J_z and E_b respectively) that involve the distance from a random point to its jth nearest neighbour were examined against several alternative patterns (lattice‐based regular, inhomogeneous random, and Poisson cluster patterns) through Monte Carlo simulation to test their powers to detect patterns. The powers of all the five statistics increase as distance order j increases against inhomogeneous random pattern. They decrease for P_i and C_e and increase for P_o, J_z, and E_b against regular and Poisson cluster patterns. P_o, J_z, and E_b can reach high powers with the third or higher order distances in most cases. However, P_o is recommended because no extra information is needed, it can reach a high power with the second or third distance even though the sample size is not large in most cases, and the test can be performed with an approximate χ² distribution associated with it. When a regular pattern is expected, J_z is recommended because it is more sensitive to lattice‐based regular pattern than P_o and E_b, especially for the first distance. However, simulation tests should be used because the speed of convergence of J_z to normal distribution is very slow.     

Autonomy of the wingless mutation in Drosophila melanogaster

Summary T(Y;2) translocations were used to cytologically localise the wingless locus of Drosophila melanogaster. We found that an existing T(Y;2), which is an insertion of a segment of 2L into the Y chromosome, has wg ⁺ within this insert. This Y chromosome was used to generate an attached XY chromosome containing wg ⁺. The mutation claret-nondisjunctional (ca ^nd) was used to induce the loss of this XY chromosome and thus generate gynandromorphs with wg ¹/wg ¹ male tissue and wg ⁺/wg ¹/wg ¹ female tissue. Analysis of these gynanders demonstrated that a genotypically wingless mutant hemithorax is usually also phenotypically mutant in these half body mosaics; thus wg ¹ is discautonomous. This observation is of interest as it is known that wg is not cell autonomous.     

F-tests for Hypotheses with Block Matrices and Under Conditions of Orthogonality in the General Multivariate Gauss-Markoff Model

The multivariate general Gauss-Markoff (MGM) model (U, XB, ∑?σ²V) when the matrices V ≥ 0 and ∑ > 0 are known and the scalar σ² > 0 is unknown, is considered. The present paper is a continuation of two earlier works (Oktaba, 1988a, b). If XB = X₁Σ + X₂Δ, then the F-test for verification the hypothesis WΣA = 0 is presented. Moreover, under conditions of orthogonality the decomposition of the matrix S_A (?BCA)′L^?(?BCA) into the sum of s = r(L) matrices is given, where ?BCA is the estimator of the parametric estimable functions ?BCA, Cov (?BCA) = A′ ∑?σ²L = ?C₄?′, B? = (X′T^?X)^?X′T^?U, C₄ = (X′T^?X)^?M, where M = M′ is any arbitrary matrix such that R(X) ? R(T), T=V+XMX′; T^? is any c-inverse. R(A) is the linear space generated by the colums of A. Then under additional assumption on normality of U the statistics F for testing ?BA = 0 is deduced. Under conditions of normality of U and decomposition of S_A, the statistics F₁, …, F_s for the hypotheses jⁱ BA = 0 (i = 1,…, s) are established.     

Genetic interactions suggest that Danforth's short tail (Sd) is a gain-of-function mutation

Danforth's short tail (Sd) is a semidominant mutation on mouse chromosome 2 that acts cell autonomously in the notochord and leads to its disintegration, and thus causes severe defects in somite patterning and vertebral column development. The molecular nature of the Sd gene and mutation is unknown, and it is unclear whether Sd is a loss-of-function mutation and the semidominant inheritance of the Sd phenotype is due to haploinsufficiency, or whether Sd represents a gain-of-function mutation in a gene essential for notochord development and maintenance. Here, we report on the genetic interaction between Sd and an insertional mutation called Etl4^lacZ, which provides genetic evidence that Sd is a gain-of-function mutation. Etl4^lacZ is an enhancer trap insertion, which gives rise to lacZ expression in distinct cell types, including the notochord. In homozygosity, the lacZ insertion leads to abnormal vertebrae in the caudal part of the vertebral column. Etl4^lacZ maps approximately 0.75 cM distal to Sd, and in double heterozygotes modifies the Sdphenotype contrarily, depending on the chromosomal configuration of the Sd and Etl4^lacZ mutations: when Etl4^lacZ is present on the chromosome wild type for Sd (Sd +/+ Etl4^lacZ; trans configuration), the Sd phenotype is enhanced, i.e., vertebral malformations extend to more anterior positions and the vertebral body of the axis is further reduced. Conversely, when Etl4^lacZ is present on the same chromosome as Sd (Sd Etl4^lacZ /+ +; cis configuration), the Sd phenotype is attenuated, i.e., vertebral malformations are confined to more posterior levels, and the dens axis, which is severely reduced or absent in Sd heterozygotes, is restored. The different effect of the Etl4^lacZ insertion on Sd, depending on its presence in trans or cis, suggests a direct interaction of the transgene insertion with the Sd gene. Additionally, the attenuation of the Sd phenotype by Etl4^lacZ in cis suggests that Sd is a gain-of-function mutation and lends support to the idea that Etl4^lacZ is a new allele of Sd. Dev. Genet. 23:86–96, 1998. © 1998 Wiley-Liss, Inc.     

Helix-coiled transition in heteropolymers. I. Ground-state energy

A new technique is presented for treating the ground state of an heteropolymer with a random sequence of components. An exact system of equations is found for determining the ground state energy E which is equal to the polymer free energy f in the lowest-order approximation in T/V (V/2 is the large “surface” energy arising at the boundaries between coiled and “helical” sections: V ? T, U_k; U₁ and –U₂ are the free energies of the components counted from the corresponding coiled state energies). These equations are essentially simplified at certain fixed values of the ratio U₁/U₂. For integer values of U₂/U₁ and U₁/U₂ a solution is obtained with an accuracy exp(–V/U_k). The ground-state energy as a function of U₁ and U₂ is shown to be highly irregular: its derivatives have jumps at an infinite number of points. These jumps provide a fine structure of the melting curves. A smoothed over the jumps function E′ is found by way of analytic continuation from the integer values of U₁/U₂ and U₂/U₁. The accuracy of the approximation f ≈ E is estimated and the correctional term of order T/V is determined.     

Genetic interactions between FLM and other flowering-time genes in Arabidopsis thaliana

FLOWERING LOCUS M (FLM) is a MADS-domain gene that acts as an inhibitor of flowering in Arabidopsis. Here we describe the genetic interaction of FLM with genes in the photoperiod and autonomous flowering pathways. Although the sequence of FLM is most similar to that of FLC, FLM and FLC interact with different flowering pathways. It has been previously shown that flc lesions suppress the late-flowering phenotype of FRI-containing lines and autonomous-pathway mutants. However, flm lesions suppress the late-flowering phenotype of photoperiod-pathway mutants but not that of FRI-containing lines or autonomous-pathway mutants. Another MADS-domain flowering repressor with a mutant phenotype similar to FLM is SVP. The late-flowering phenotype of FLM over-expression is suppressed by the svp mutation, and an svp flm double mutant behaves like the single mutants. Thus FLM and SVP are in the same flowering pathway which interacts with the photoperiod pathway. Abbreviations: CO, CONSTANS; FLC, FLOWERING LOCUS C; FLM, FLOWERING LOCUS M; FRI, FRIGIDA; GI, GIGANTEA; LD, LUMINIDEPENDENS; SVP, SHORT VEGETATIVE PHASE; FCA is not an abbreviation     

Consistency of the Asymptotic Quasi-Likelihood Estimate on Linear Models

Consider a model y_t = f_t(θ) + M_t, 0 ⩽ t ⩽ T where θ∈ Θ in an unknown parameter, f_t(θ) is a linear predictable process, M_t is a martingale difference, and the nature of E(M²_t/ℱ_t—1) is unknown. This paper presents an estimating procedure for θ based on the asymptotic quasi-likelihood methodology. Conditions under which the asymptotic quasi-likelihood estimate converges to the true parameter θ₀ are discussed. This method is applied to several simulated examples, and estimates of the unknown parameter are obtained by means of a two-stage technique. Comparison is made between the estimates obtained via this method and those obtained via the ordinary least squares method. Discussion is provided on the application of the model.     

Hemibranchiate sphaeromatids (Crustacea: Isopoda) from Queensland, Australia, with a world-wide review of the genera discussed

All known Queensland species of the isopod family Sphaeromatidae, subfamily Sphaeromatinae (= hemibranchs), are discussed. The following new taxa are erected: Calcipila cornuta, gen. nov., sp. nov. ; Cymodoce tribullis, sp. nov. ; Cymodoce bipapilla, sp. nov. ; Paracilicaea aspera, sp. nov. ; Cilicaeopsis glebosa, sp. nov. ; Cilicaeopsis furculata, sp. nov. ; Cilicaea calcarifera, sp. nov. ; Zuzara curtispina, sp. nov. ; Zuzara digitata, sp. nov. ; and Clianella brucei, sp. nov. Exosphaeroma intermedium Baker is transferred to the genus Sphaeroma Latreille. The genus Dynoides Barnard is reviewed and its current synonymy is contested. With several new records, this brings the total number of sphaeromatid species known from Queensland to 49, 24 of which are in the subfamily Sphaeromatinae. A checklist of all sphaeromatid species occurring in Queensland waters is given. From the rest of Australia: Cymodoce tuberculata Haswell is given the replacement name Cymodoce haswelli, nom. nov. ; Cymodoce granulata Miers is made a junior synonym of Cerceis trispinosa (Haswell) (subfamily Dynameninae); Zuzara diadema Leach, Z. dicantha (Milne Edwards) and Z. Integra Haswell are made junior synonyms of Z. semipunctata Leach; Cilicaeopsis dakini Tattersall is tentatively transferred to the genus Paracilicaea Stebbing. The genera discussed are reviewed world-wide and among the non-Australian species: Exosphaeroma papillae Bayliff is transferred to the genus Sphaeroma; Sphaeroma irakiensis Ahmed is made a junior synonym of Sphaeroma annandalei annandalei Stebbing; Cymodoce richardsoniae Nobili is shown to be distinct from Cymodoce truncata Leach; Cymodoce eupyga Nobili is transferred to the genus Paracilicaea; Dynoides amblysinus Pillai, Dynoides castroi Loyola e Silva and Exosphaeroma globicaudum (Dana) are transferred to the genus Clianella Boone; Dynoides brasiliensis (Loyola e Silva; and Sphaeroma savignn Milne Edwards sensu Dana, 1853 are declared to be conspecific with Clianella castroi. The name Sorrentosphaera Verhoeff is made a junior synonym of Dynamene Leach (subfamily Dynameninae.     

The genus Thymus (Lamiaceae) in Sicily

An update on the taxonomy and geographic distribution of the genus Thymus in Sicily is given. This study is based on literature, herbarium and field investigations. In total, five taxa belonging to Thymus sect. Serpyllum (Th.richardii subsp. nitidus, Th.longicaulis and Th.praecox subsp. parvulus) and Th. sect. Hyphodromi (Th.spinulosus and Th.paronychioides) occur in Sicily. For each one, information about taxonomy, habitat, phenology, chromosome number and distribution are provided. Furthermore, the name Thymus pedicillatus Lojac. is here typified. Finally, an analytical key for the identification of the studied taxa is proposed.     

Drift variances of FSTand GST statistics obtained from a finite number of isolated populations

Approximate formulas for the mean and variance of the F_STor G_ST statistic in a finite number of isolated populations are developed under the effect of random genetic drift. Computer simulation has shown that the approximate formulas give a fairly accurate result unless the initial frequency of one of the alleles involved is close to 1 and t/2N is large, where N is the effective size of a subpopulation and t is the number of generations. It is shown that when the number of subpopulations (s) is small, the mean of F_STor G_ST depends on the initial gene frequencies as well as on s. When the initial frequencies of all alleles are nearly equal to each other and the number of subpopulations is large, the distribution of F_ST in the early generations is bell-shaped. In this case Lewontin and Krakauer's k parameter is approximately 2 or less. However, if one of the initial allele frequencies is close to 1, the distribution is skewed and leptokurtic, and the k parameter often becomes larger than 2 in later generations. Thus, even under pure random genetic drift, Lewontin and Krakauer's test of selective neutrality of polymorphic genes in terms of F_ST is not always valid. It is also shown that Jacquard's approximate formula for k generally gives an overestimate.     

Beschreibung einer neuen Carabus (Lamprostus)-Art aus Persien (Coleoptera: Carabidae)

Abstract

A new species of Carabus (Lamprostus) from the province of Gilan, Iran, is described and illustrated: Carabus (Lamprostus) staveni sp. nov., Carabus (Pachystus) rechingerae Mandl, 1972, is considered a junior synonym of Carabus (Lamprostus) calleyi nigrinus Motschulsky, 1865. The specific status of Carabus (Sphodristocarabus) korgei Heinz, 1970, is restored (stat. rev.) and Carabus separatus delirensis Deuve, 2000, is considered to be a junior synonym of it. Carabus (Megodontus) stroganowi javahardensis Deuve, 2000, is considered to be a synonym of Carabus (Megodontus) heinrichi Mandl, 1966; both taxa are from the same type locality.     

The Madagascan click-beetle genus Crepicardus (Elateridae) and its relationship to the Pyrophorinae

The genus Crepicardus is endemic to Madagascar. Ten species are here recognized and redescribed; a key for their identification is given. The genus falls into three distinct species groups and one unassigned species: the klugii-group (klugii Castelnau, madagscariensis Fleutiaux, cribricollis Fleutiaux), the candezei-group (candezei Fairmaire stat.rev ., raffrayi Fairmaire, niger Candèze, puncticollis Fleutiaux), the trisulcatus-group (trisulcatus Candèze, mocquerysi Fleutiaux) and fleutiauxi Girard. Crepicardus costicollis (Castelnau) is again placed as a junior synonym of C.klugii (Castelnau) and candezei Fairmaire restored to specific status. Lectotypes are designated for klugii Castelnau, costicollis Castelnau, candezei Fairmaire, raffrayi Fairmaire, niger Candèze and mocquerysi Fleutiaux. On the basis of adult characters Crepicardus is here assigned to the Pyrophorinae sensu Stibick (1979) and its systematic position is discussed in relation to the widespread Pyrophorinae.     

The size distribution of insertions and deletions in human and rodent pseudogenes suggests the logarithmic gap penalty for sequence alignment

The size distributions of deletions, insertions, and indels (i.e., insertions or deletions) were studied, using 78 human processed pseudogenes and other published data sets. The following results were obtained: (1) Deletions occur more frequently than do insertions in sequence evolution; none of the pseudogenes studied shows significantly more insertions than deletions. (2) Empirically, the size distributions of deletions, insertions, and indels can be described well by a power law, i.e., f _k = Ck ^–b , where f _k is the frequency of deletion, insertion, or indel with gap length k, b is the power parameter, and C is the normalization factor. (3) The estimates of b for deletions and insertions from the same data set are approximately equal to each other, indicating that the size distributions for deletions and insertions are approximately identical. (4) The variation in the estimates of b among various data sets is small, indicating that the effect of local structure exists but only plays a secondary role in the size distribution of deletions and insertions. (5) The linear gap penalty, which is most commonly used in sequence alignment, is not supported by our analysis; rather, the power law for the size distribution of indels suggests that an appropriate gap penalty is w _k = a + b ln k, where a is the gap creation cost and blnk is the gap extension cost. (6) The higher frequency of deletion over insertion suggests that the gap creation cost of insertion (a _i ) should be larger than that of deletion (a _d ); that is, a _i – a _d = In R, where R is the frequency ratio of deletions to insertions. Correspondence to: W.-H. Li     

Approximate Michaelis-Menten kinetics displayed in a stochastic model of cell-mediated cytotoxicity

A nonlinear continuous-time Markov chain describing a two-step process of cytolytic cells binding to target and the subsequent lysis and release of label is shown to have kinetics which resemble standard enzyme-substrate kinetics. The Michaelis-Menten saturation function is found as a special case resulting when the target population is in excess. A comparison theorem for the pseudo-steady-state distribution Π is constructed to enable examination of that distribution whose expected value E and variance V satisfy - K_mE + (C_T − E)(T_T − E) + V = 0, where K_m is the Michaelis half-saturation constant and C_T and T_T are the initial populations of the two cell types. Using Π as an initial condition, the release of label process is examined. The main result is that the fraction of specific release, ƒ, has the approximate form when T_t is large, so that a nonlinear regression procedure is appropriate for the determination of the parameters.     

A New Functional Equation Analogous to CAUCHT-PEXIDER Functional Equation and its Application

The CAUCHY-PEXIDER functional equation H (x±y)=F(x) G(y) is generalized to the form H ((x^c±y^c)^1/c) = F(x) G(y), c≠0, assuming the function H(x) possesses a measurable majorant on a set of positive measure. The result is used to obtain a characterization of WEIBULL distribution. This functional equation is generalized to functions of vector variables.     

Electrostatic effects on polynucleotide transitions. II. Behavior of titrated systems

The theory developed in the previous paper to discuss changes in electrostatic free energies in polynucleotide order–disorder transitions is extended to cases where one or more of the participating species is titrated to some degree α. It is shown that, for any class of transition, the melting temperature T_m at constant pH is a linear function of the logarithm of the monovalent counterion concentration M, that at high salt the logarithm of the depression of the melting temperature by pH titration is proportional to the pH change, and that the stability of the ordered form as measured by its melting temperature at neutral pH, is a monotonic function of the quantity pH_m – pK, where pH_m and pK are the pH of melting and the monomer base pK, both measured under similar conditions of temperature and ionic strength. For the transition from double helix to coil, the dependences of T_m and dT_m/d log M on pH are determined experimentally and compared with the qualitative predictions of the theory. It is found that dT_m/dlog M, a measure of – ΔF?^el (the negative of the electrostatic free energy change in the transition), decreases with increasing pH. In acid solution, where the coil is more extensively prolonated than the helix, the change in electrostatic free energy in the transition is larger than at neutral pH. Conversely, in alkali the electrostatic five energy change is smaller than at neutral pH. Hence (dT_m/d log M)_acid > (dT_m/d log M _neutral) > (dT_m/d log M)_alkali. At Suffeciently high pH, dT_m/d log M is observed to become negative, indicating that the electrostatic free energy change is positive in the transition of this region. Date from the literature on the ionic strength dependence of the melting temperature for the acid helices of poly rA, poly rC, and poly dC are also considered from the standpoint of the theory.