Specific Models

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Theoretical Morphology

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Echinoids have an endoskeletal system which is ideal for studying calcified structures such as development of vertebrate skeletons. However, understanding echinoid skeletal (test) growth has proven challenging to analyse solely on the basis of any one approach or process. Therefore, theoretical models have been developed to understand growth and form of echinoid tests. Herein, Holotestoid, a computational model of echinoid test growth is described. The model incorporates mathematical principles (e.g., close-packing), physical principles (e.g., interface between coalescing bubbles) and biological processes (e.g., echinoid ontogenic processes). It is the first computational model that emulates all five ontogenic processes involved in test growth (plate growth, plate addition, plate interaction, plate gapping, and visceral growth) using a geometrical representation and three analogies (coalescing bubble, circle-packing, and catenary chains). The emulated processes are used to predict plate size, plate shape, and test shape.



Size-Assortative Mating

Size-assortative mating is a nonrandom  association of body size between members of mating  pairs and  is expected to  be common  in  species with mutual preferences for body size. In this  study, we investigated whether there is direct evidence for  size-assortative mating  in  two  species of  pipefishes,  Syngnathus floridae and S. typhle, that share the characteristics of male pregnancy, sex-role reversal, and a polygynandrous mating system. We take advantage of microsatellite-based “genetic-capture”  techniques  to  match  wild-caught  females with female genotypes reconstructed  from broods  of pregnant  males and  use these data  to  explore patterns  of size-assortative mating  in  these species. We also develop a simulation model to  explore how positive, negative, and antagonistic preferences of each sex for body size affect size-assortative  mating. Contrary to expectations, we were unable to find any evidence of size-assortative mating in either species  at different geographic locations or at different sampling times. Furthermore,  two traits that  potentially confer  a  fitness advantage in terms of reproductive success, female mating order and number  of eggs transferred per female, do not affect pairing patterns in the wild. Results from model simula- tions  demonstrate  that  strong  mating  preferences are unlikely to  explain the observed patterns of mating in the studied populations.  Our  study shows that individual mating preferences, as ascertained by laboratory-based mating trials, can be  decoupled  from realized patterns of mating in the wild, and therefore, field studies are also necessary to  determine actual patterns of mate choice in nature.  We conclude that  this disconnect between preferences and  assortative mating  is likely due  to  ecological constraints  and  multiple  mating  that  may limit mate choice in natural populations.


© Maria Abou Chakra 2014