Body dimensions of the extinct giant shark Otodus megalodon:A 2D reconstruction

Inferring the size of extinct animals is fraught with danger, especially when they were much larger than their modern relatives. Such extrapolations are particularly risky when allometry is present. The extinct giant shark †Otodus megalodon is known almost exclusively from fossilised teeth. Estimates of †O. megalodon body size have been made from its teeth, using the great white shark (Carcharodon carcharias) as the only modern analogue. This can be problematic as the two species likely belong to different families, and the position of the †Otodus lineage within Lamniformes is unclear. Here, we infer †O. megalodon body dimensions based on anatomical measurements of five ecologically and physiologically similar extant lamniforms: Carcharodon carcharias, Isurus oxyrinchus, Isurus paucus, Lamna ditropis and Lamna nasus. We first assessed for allometry in all analogues using linear regressions and geometric morphometric analyses. Finding no evidence of allometry, we made morphological extrapolations to infer body dimensions of †O. megalodon at different sizes. Our results suggest that a 16 m †O. megalodon likely had a head ~ 4.65 m long, a dorsal fin ~ 1.62 m tall and a tail ~ 3.85 m high. Morphometric analyses further suggest that its dorsal and caudal fins were adapted for swift predatory locomotion and long-swimming periods

The ecological causes of functional distinctiveness in communities

Recent work has shown that evaluating functional trait distinctiveness, the average trait distance of a species to other species in a community offers promising insights into biodiversity dynamics and ecosystem functioning. However, the ecological mechanisms underlying the emergence and persistence of functionally distinct species are poorly understood. Here, we address the issue by considering a heterogeneous fitness landscape whereby functional dimensions encompass peaks representing trait combinations yielding positive population growth rates in a community. We identify four ecological cases contributing to the emergence and persistence of functionally distinct species. First, environmental heterogeneity or alternative phenotypic designs can drive positive population growth of functionally distinct species. Second, sink populations with negative population growth can deviate from local fitness peaks and be functionally distinct. Third, species found at the margin of the fitness landscape can persist but be functionally distinct. Fourth, biotic interactions (positive or negative) can dynamically alter the fitness landscape. We offer examples of these four cases and guidelines to distinguish between them. In addition to these deterministic processes, we explore how stochastic dispersal limitation can yield functional distinctiveness. Our framework offers a novel perspective on the relationship between fitness landscape heterogeneity and the functional composition of ecological assemblages

Ancient Nursery Area for the Extinct Giant Shark Megalodon from the Miocene of Panama

BACKGROUND: As we know from modern species, nursery areas are essential shark habitats for vulnerable young. Nurseries are typically highly productive, shallow-water habitats that are characterized by the presence of juveniles and neonates. It has been suggested that in these areas, sharks can find ample food resources and protection from predators. Based on the fossil record, we know that the extinct Carcharocles megalodon was the biggest shark that ever lived. Previous proposed paleo-nursery areas for this species were based on the anecdotal presence of juvenile fossil teeth accompanied by fossil marine mammals. We now present the first definitive evidence of ancient nurseries for C. megalodon from the late Miocene of Panama, about 10 million years ago. METHODOLOGY/PRINCIPAL FINDINGS: We collected and measured fossil shark teeth of C. megalodon, within the highly productive, shallow marine Gatun Formation from the Miocene of Panama. Surprisingly, and in contrast to other fossil accumulations, the majority of the teeth from Gatun are very small. Here we compare the tooth sizes from the Gatun with specimens from different, but analogous localities. In addition we calculate the total length of the individuals found in Gatun. These comparisons and estimates suggest that the small size of Gatun's C. megalodon is neither related to a small population of this species nor the tooth position within the jaw. Thus, the individuals from Gatun were mostly juveniles and neonates, with estimated body lengths between 2 and 10.5 meters. CONCLUSIONS/SIGNIFICANCE: We propose that the Miocene Gatun Formation represents the first documented paleo-nursery area for C. megalodon from the Neotropics, and one of the few recorded in the fossil record for an extinct selachian. We therefore show that sharks have used nursery areas at least for 10 millions of years as an adaptive strategy during their life histories

Performance evaluation of scheduling policies for the DRCMPSP

In this study, we consider the dynamic resource-constrained multi-project scheduling problem (DRCMPSP) where projects generate rewards at their completion, completions later than a due date cause tardiness costs and new projects arrive randomly during the ongoing project execution which disturbs the existing project scheduling plan. We model this problem as a discrete Markov decision process and explore the computational limitations of solving the problem by dynamic programming. We run and compare four different solution approaches on small size problems. These solution approaches are: a dynamic programming algorithm to determine a policy that maximises the average profit per unit time net of charges for late project completion, a genetic algorithm which generates a schedule to maximise the total reward of ongoing projects and updates the schedule with each new project arrival, a rule-based algorithm which prioritise processing of tasks with the highest processing durations, and a worst decision algorithm to seek a non-idling policy to minimise the average profit per unit time. Average profits per unit time of generated policies of the solution algorithms are evaluated and compared. The performance of the genetic algorithm is the closest to the optimal policies of the dynamic programming algorithm, but its results are notably suboptimal, up to 67.2\%. Alternative scheduling algorithms are close to optimal with low project arrival probability but quickly deteriorate their performance as the probability increases

Discursos patrimoniales que orientan la gestión del patrimonio cultural en los planes de desarrollo del departamento de Santander-Colombia (2008-15)

This article identifies some of the main categories on cultural heritage included in the Santander departmental development plans (2008-11 and 2012-15), in order to characterize it according to diverse forms of conceptualization, management and bonds with other aspects. The grounded theory is the methodology used and from its analysis two closely linked concepts of cultural heritage were identified: culture and tourism. The research results show future risks and opportunities in the region. They emphasize that heritage is seen as the commemoration of the "santandereanidad" or department belonging feeling, tourism and regional development motor, which often emphasizes the financial potential of heritage and ignores the social and anthropological side that this encompasses.Este artículo identifica algunas de las categorías principales sobre el patrimonio cultural presentes en los planes de desarrollo departamental de Santander (2008-11 y 2012-15), con el propósito de caracterizarlo según las diversas formas de conceptualización, gestión y asociación con otros aspectos. La teoría fundada es la metodología empleada para ello y a partir de esos análisis se identificaron dos conceptos estrechamente ligados al patrimonio cultural: cultura y turismo. Los resultados de la investigación permiten evidenciar riesgos y oportunidades a futuro en la región. Resaltan que el patrimonio es visto como la conmemoración de la santandereanidad, motor del turismo y desarrollo regional, que muchas veces enfatiza el potencial financiero del patrimonio y omite el lado más social y antropológico que este abarca

Heritage Speeches that Guide the Management of Cultural Heritage in the Development Plans of the Department of Santander in Colombia (2008-15)

This article identifies some of the main categories on cultural heritage included in the Santander departmental development plans (2008-11 and 2012-15), in order to characterize it according to diverse forms of conceptualization, management and bonds with other aspects. The grounded theory is the methodology used and from its analysis two closely linked concepts of cultural heritage were identified: culture and tourism. The research results show future risks and opportunities in the region. They emphasize that heritage is seen as the commemoration of the "santandereanidad" or department belonging feeling, tourism and regional development motor, which often emphasizes the financial potential of heritage and ignores the social and anthropological side that this encompasses