Reproductive aspects of the rose shrimp Parapenaeus longirostris (Lucas, 1846) in the Golf of Cadiz (southwestern Iberian Peninsula)

Parapenaeus longirostris (Lucas, 1846) is an abundant penaeid species which inhabits the Eastern Atlantic, from Portugal to Angola, and the Mediterranean Sea. This species is of great interest to fishermen in the Spanish waters of the Gulf of Cadiz. The present study on the reproductive cycle of P. longirostris was based on the analysis of monthly commercial samples and fisheries research surveys carried out in this region. This species shows two spawning peaks throughout the year, the first peak occurring in late spring and the second one in the autumn. The larger mature females mainly spawn in the spring, whereas smaller adult females spawn in autumn. Females’ cephalothorax length (CL) at first maturity was between 21.5 and 22 mm CL. In males the joining of the two sections of the petasma takes place at between 12 and 15 mm CL, being always separated at sizes lower than 11 mm CL. The size at which 50 % of males have a joint petasma was estimated at 12.9 mm CL, the size at first maturity being estimated at 14.8 mm CL. The conditioning factor is related more to growth events than to ovarian maturation, and a relationship was found between them. Relative fecundity was estimated at 7486 eggs/g of female, with fecundity ranging from 21410 to 186856 eggs. Females at the stage of both advanced ovarian development and readiness to spawn occurred at depths greater than 100 m.La gamba blanca Parapenaeus longirostris (Lucas, 1846) es un peneido abundantemente distribuido en el Atlántico oriental-desde Portugal hasta Angola-y en el Mediterráneo, y constituye un recurso primordial para un importante sector pesquero en aguas del Golfo de Cádiz. Para ampliar el conocimiento sobre su ciclo reproductivo se muestrearon mensualmente las capturas comerciales y se consideraron de nuevo muestras obtenidas en otras campañas de investigación desarrolladas en la zona. En el ciclo se distinguen dos máximos de puesta al año: el primero al final de primavera y el segundo en otoño. Las hembras más grandes realizan la puesta fundamentalmente en primavera, mientras quelas de tamaños menores lo hacen en otoño. La talla de primera madurez en las hembras se sitúa entre 21.5 y 22 mm de longitud del cefalotórax (LC). En los machos, la unión de las dos piezas del petasma tiene lugar cuando los ejemplares alcanzan entre 12 y 15 mm LC, permaneciendo aún separadas en todos los individuos de menos de 11 mm LC; la talla a la que el 50 % de los machos tiene el petasma totalmente formado fue estimada en 12.9 mm LC. La masa espermática en las coxas del quinto par de pereiópodos está presente a partir de 13 mm LC, calculándose la talla de primera madurez en 14.8 mm LC. El factor de condición está más relacionado con el crecimiento en sí que con la maduración. La fecundidad relativa fue estimada en 7486 huevos por gramo de ejemplar hembra, encontrándose valores entre 21410 y 186856 huevos. La puesta tiene lugar a partir de 100 m de profundidad

Detection of subclinical keratoconus with a validated alternative method to corneal densitometry

Purpose: To enhance the current standards of subclinical keratoconus screening based on the statistical modeling of the pixel intensity distribution of Scheimpflug images. Methods: Scheimpflug corneal tomographies corresponding to 25 corneal meridians of 60 participants were retrospectively collected and divided into three groups: controls (20 eyes), subclinical keratoconus (20 eyes), and clinical keratoconus (20 eyes). Only right eyes were selected. After corneal segmentation, pixel intensities of the stromal tissue were statistically modeled using a Weibull probability density function from which parameter a (pixel brightness) was derived. Further, data were transformed to polar coordinates, smoothed, and interpolated to build a map of the corneal a parameter. The discriminative power of the method was analyzed using receiver operating characteristic curves. Results: The proposed platform-independent method achieved a higher performance in discriminating subclinical keratoconus from control eyes (90.0% sensitivity, 95.0% specificity, 0.97 area under the curve [AUC]) than the standard method (Belin–Ambrósio enhanced ectasia display), which uses only corneal morphometry (85.0% sensitivity, 85.0% specificity, 0.80 AUC). Conclusions: Analysis of light backscatter at the cornea successfully discriminates subclinical keratoconus from control eyes, upgrading the results previously reported in the literature. Translational Relevance: The proposed methodology has the potential to support clinicians in the detection of keratoconus before showing clinical signs. © 2021 The Authors

On the ubiquity of trivial torsion on elliptic curves

The purpose of this paper is to give a "down--to--earth" proof of the well--known fact that a randomly chosen elliptic curve over the rationals is most likely to have trivial torsion