Recycling‐mediated facilitation and coexistence based on plant size

We introduce nutrient recycling into a model where competitors differ in the scale at which they perceive their environment. In a two-resource system with both external nutrient inputs and recycling, larger consumers ("integrators") often generate resource distributions that favor their smaller ("nonintegrator") competitors, and vice versa. This occurs because recycling of integrator biomass reduces between-patch resource heterogeneity, whereas recycling of nonintegrator biomass does not. Combined, recycling and throughput can allow coexistence when it is not possible with either alone. With recycling, the presence of an integrator also may facilitate higher biomass of a co-occurring nonintegrator. Our model provides a context where recycling can generate negative feedback between competitors that differ in size and so promote coexistence. This is opposite to the positive recycling-mediated feedback commonly expected on the basis of litter chemistry differences between competitors. Effects of recycling and homogenization on nonintegrators may also be negative in our model, depending on the conformation of the system's resource supply points and the species' relative resource requirements. Our model suggests that the effects of plant size on competitive outcomes may depend critically on the degree of resource recycling found in the system and, reciprocally, that the effects of recycling may depend on plant size.     

Should we expect substitution rate to depend on population size?

The rate of nucleotide substitution is generally believed to be a decreasing function of effective population size, at least for nonsynonymous substitutions. This view was originally based on consideration of slightly deleterious mutations with a fixed distribution of selection coefficients. A realistic model must include the occurrence and fixation of some advantageous mutations that compensate for the loss of fitness due to deleterious substitutions. Some such models, such as so-called "fixed" models, also predict a population size effect on substitution rate. An alternative model, presented here, predicts the near absence of a population size effect on substitution rate. This model is based on concave log-fitness functions and a fixed distribution of mutational effects on the selectively important trait. Simulations of an instance of the model confirm the approximate insensitivity of the substitution rate to population size. Although much experimental evidence has been claimed to support the existence of a population size effect, the body of evidence as a whole is equivocal, and much of the evidence that is supposed to demonstrate such an effect would also suggest that it is very small. Perhaps the proposed model applies well to some genes and not so well to others, and genes therefore vary with regard to the population size effect.     

Selection on body size in a raptor with pronounced reversed sexual size dimorphism: are bigger females better?

An overabundance of hypotheses have been proposed to accountfor reversed sexual size dimorphism (RSD; females the largersex) in raptors. Previous research principally focused on examininginterspecific patterns of RSD, rarely testing predictions ofvarious hypotheses within populations. To redress this, we useddata from both sexes of a large brown falcon, Falco berigora,population to evaluate the importance of size and body conditionindices on the hunting prowess of males and the reproductivesuccess, recruitment, and survival probabilities of both sexes.Female-female competition for territorial vacancies was likelyto be intense as the floating population was female-biased andintrasexual agonistic interactions were frequently observed.In this competitive population, larger adult females were morelikely to be recruited, indicating directional selection favoringincreased female body size. Furthermore, after recruitment largerfemales were more likely to successfully fledge offspring, providinga mechanism by which RSD is maintained in the population. Incontrast, male recruitment was unrelated to either body sizeor condition indices. Smaller immature males more often heldtheir territories (survived) over two breeding seasons thandid their larger counterparts; however, they also took smallprey more frequently, a diet related to poor reproductive success.We argue that, together, these results are indicative of selectionfavoring an increase in female body size and a reduction ormaintenance in male body size. Of all the hypotheses proposedto account for the maintenance and evolution of RSD in raptors,this scenario is consistent only with the predictions of theintrasexual competition hypothesis.     

Undamped oscillations in prey–predator models on a finite size lattice

Sustained oscillation is frequently observed in population dynamics of biospecies. The oscillation comes not only from deterministic but also from stochastic characteristics. In the present article, we deal with a finite size lattice which contains prey and predator. The interaction between a pair of lattice points is carried out by two different methods; local and global interactions. In the former, interaction occurs between adjacent sites, while in the latter interaction takes place between any pair of lattice sites. It is found that both systems exhibit undamped oscillations. The amplitude of oscillation decreases with the increase of the total lattice sites. In the case of global interaction, we can present a stochastic differential equation which is composed of two factors, i.e., the Lotka–Volterra equation with density dependence and noise term. The quantitative agreement between theory and simulation results of global interaction is almost perfect. The stochastic theory qualitatively expresses characteristics of sustainable oscillation for local interaction.     

Inherent size constraints on prokaryote gene networks due to “accelerating” growth

Networks exhibiting “accelerating” growth have total link numbers growing faster than linearly with network size and either reach a limit or exhibit graduated transitions from non-stationary-to-stationary statistics and from random to scale-free to regular statistics as the network size grows. However, if for any reason the network cannot tolerate such gross structural changes then accelerating networks are constrained to have sizes below some critical value. This is of interest as the regulatory gene networks of single-celled prokaryotes are characterized by an accelerating quadratic growth and are size constrained to be less than about 10,000 genes encoded in DNA sequence of less than about 10 megabases. This paper presents a probabilistic accelerating network model for prokaryotic gene regulation which closely matches observed statistics by employing two classes of network nodes (regulatory and non-regulatory) and directed links whose inbound heads are exponentially distributed over all nodes and whose outbound tails are preferentially attached to regulatory nodes and described by a scale-free distribution. This model explains the observed quadratic growth in regulator number with gene number and predicts an upper prokaryote size limit closely approximating the observed value.     

Does group size have an impact on welfare indicators in fattening pigs?

Production systems for fattening pigs have been characterized over the last 2 decades by rising farm sizes coupled with increasing group sizes. These developments resulted in a serious public discussion regarding animal welfare and health in these intensive production systems. Even though large farm and group sizes came under severe criticism, it is still unknown whether these factors indeed negatively affect animal welfare. Therefore, the aim of this study was to assess the effect of group size (<15 v. 15 to 30 v. >30 pigs/pen) on various animal-based measures of the Welfare Quality® protocol for growing pigs under conventional fattening conditions. A total of 60 conventional pig fattening farms with different group sizes in Germany were included. Moderate bursitis (35%) was found as the most prevalent indicator of welfare-related problems, while its prevalence increased with age during the fattening period. However, differences between group sizes were not detected (P>0.05). The prevalence of moderately soiled bodies increased from 9.7% at the start to 14.2% at the end of the fattening period, whereas large pens showed a higher prevalence (15.8%) than small pens (10.4%; P<0.05). With increasing group size, the incidence of moderate wounds with 8.5% and 11.3% in small- and medium-sized pens, respectively, was lower (P<0.05) than in large-sized ones (16.3%). Contrary to bursitis and dirtiness, its prevalence decreased during the fattening period. Moderate manure was less often found in pigs fed by a dry feeder than in those fed by a liquid feeding system (P<0.05). The human–animal relationship was improved in large in comparison to small groups. On the contrary, negative social behaviour was found more often in large groups. Exploration of enrichment material decreased with increasing live weight. Given that all animals were tail-docked, tail biting was observed at a very low rate of 1.9%. In conclusion, the results indicate that BW and feeding system are determining factors for the welfare status, while group size was not proved to affect the welfare level under the studied conditions of pig fattening.     

Does within-population variation in fish egg size reflect maternal influences on optimal values?

Various models that assume correlations between maternal phenotype and offspring environment predict adaptive variation in egg size within populations. Here we conduct a comparative test of these models using published data on fish egg size. Intrapopulation variation in egg size was most pronounced in fish with demersal eggs and larvae (median coefficient of variation [CV] at family level = 6.5%), where offspring environment is likely influenced by maternal phenotype, and least so in fish with pelagic eggs (CV = 3.6%), which experience a relatively stochastic spatial distribution during incubation. This difference was significant at various taxonomic levels, was robust to variation in mean egg size and habitat (i.e., freshwater or marine), and was mirrored in independent paired contrasts. Fish with demersal eggs and pelagic larvae were not significantly different from those with pelagic eggs (CV = 3.8%), indicating that selection favoring within-population variation in egg size occurs mainly posthatching and that any such selection occurring prehatching may be less intense. These results suggest that patterns of within-population variation in egg size among fish taxa reflect adaptive processes and that maternal effects on the egg size-fitness function may explain apparent discrepancies from the single-optima Smith-Fretwell model.     

The effects of fresh and rapid desiccated tissue on estimates of Ophiopogoneae genome size

Fresh plant material is usually used for genome size estimation by flow cytometry(FCM). Lack of fresh material is cited as one of the main reasons for the dearth of studies on plants from remote locations.Genome sizes in fresh versus desiccated tissue of 16 Ophiopogoneae species and five model plant species were estimated. Our results indicated that desiccated tissue was suitable for genome size estimation; this method enables broader geographic sampling of plants when fresh tissue collection is not feasible. To be useful, after dessication the Ophiopogoneae sample should be green without brown or yellow markings;it should be stored in deep freezer at à80C, and the storage time should be no more than 6 months.     

Are pollinators the agents of selection on flower colour and size in irises?

Plant–pollinator interactions are believed to play a major role in the evolution of floral traits. Flower colour and flower size are important for attracting pollinators, directly influencing reproduction, and thus expected to be under pollinator‐mediated selection. Pollinator‐mediated selection is also proposed to play a role in maintaining flower colour polymorphism within populations. However, pigment concentrations, and thus flower colour, are also under selective pressures independent of pollinators. We quantified phenotypic pollinator‐mediated selection on flower colour and size in two colour polymorphic Iris species. Using female fitness, we estimated phenotypic selection on flower colour and size, and tested for pollinator‐mediated selection by comparing selection gradients between flowers open to natural pollination and supplementary pollinated flowers. In both species, we found evidence for pollen limitation, which set the base for pollinator‐mediated selection. In the colour dimorphic Iris lutescens, while pigment concentration and flower size were found to be under selection, this was independent of pollinators. For the polymorphic Iris pumila, pigment concentration is under selective pressure by pollinators, but only for one colour morph. Our results suggest that pollinators are not the main agents of selection on floral traits in these irises, as opposed to the accepted paradigm on floral evolution. This study provides an opposing example to the largely‐accepted theory that pollinators are the major agent of selection on floral traits.     

Does size matter?

For 40 years, the debate has raged. Do mammalian cells monitor cell size when deciding whether to divide? More recent models suggest an indirect solution, but the field is far from reaching a final verdict.     

Does daily climate variation have an effect on species’ elevational range size?

In their recent paper published in Science (2016, 351 , 1437–1439), Chan et al. analysed 137 montane gradients, concluding that they found a novel pattern—a negative relationship between mean elevational range size of species and daily temperature variation, which was claimed as empirical evidence for a novel macrophysiological principle (Gilchrist's hypothesis). This intriguing possibility was their key conceptual contribution. Unfortunately, as we show, the empirical evidence was flawed because of errors in the analyses and substantial sampling bias in the data. First, we re‐ran their analyses using their data, finding that their model should have been rejected. Second, we performed two additional re‐analyses of their data, addressing biases and pseudoreplication in different ways, both times again rejecting the evidence claimed to support Gilchrist's hypothesis. These results overturn the key empirical findings of Chan et al.'s study. Therefore, the “macrophysiological principle” should be regarded as currently remaining unsupported by empirical evidence.     

Effect of bovine blastocyst size at embryo transfer on day 7 on conceptus length on day 14: Can supplementary progesterone rescue small embryos?

Conceptus size on Day 14 after multiple embryo transfer of Day 7 in vitro–produced blastocysts varies greatly within animal. One explanation for this variation may be related to blastocyst cell number at the time of transfer. The aim of this study was to examine the effect of Day 7 blastocyst cell number on Day 14 conceptus size and to examine the effect of progesterone (P4) supplementation on embryo development after the transfer of Day 7 blastocysts containing a low total cell number. The estrous cycles of crossbred beef heifers were synchronized using an 8-day progesterone (P4)–releasing intravaginal device (PRID) with the administration of a prostaglandin F_2α analog on the day before device removal. Only those heifers recorded in standing estrus (Day 0) were used. Heifers were randomly assigned to one of four treatment groups: (1) control: large blastocysts (high total cell number), (2) control: small blastocysts (low total cell number), (3) small blastocysts plus a single intramuscular injection of 3000 IU human chorionic gonadotropin (hCG) on Day 2 after estrus, or (4) small blastocysts plus insertion of a vaginal P4 insert (PRID, 1.55 g P4) between Days 3 and 5 after estrus. In vitro–produced blastocysts were transferred to each heifer on Day 7 (n = 10 blastocysts per heifer), and conceptuses were recovered at slaughter on Day 14. Daily blood samples were collected from Day 0 to 14 to measure serum P4 concentrations. Data were analyzed using the PROC MIXED procedure of SAS. Total cell number on Day 7 was significantly lower in small versus large blastocysts (72.4 ± 3.93 vs. 144.8 ± 3.90, P < 0.05). Conceptus recovery rate was 53.8% overall (140 of 260) and was highest in the large blastocyst group (68.3%, 41 of 60) compared with the other groups (45.7%–55.0%). Concentrations of serum P4 were similar in the two unmanipulated recipient groups but were significantly elevated (P < 0.05) by Day 8 in the hCG-treated heifers and on Days 4 and 5 in the PRID group (P < 0.003). In the absence of supplemental P4, Day 14 conceptuses resulting from the transfer of small blastocysts (2.48 ± 0.54 mm) were smaller than those from large blastocysts (3.32 ± 0.52 mm). Administration of hCG on Day 2 approximately doubled conceptus length on Day 14 (4.94 ± 1.15 mm; P < 0.05), whereas insertion of a PRID from Days 3 to 5 increased conceptus length approximately fivefold (13.09 ± 2.11 mm; P < 0.05) compared with controls. In conclusion, results indicate that supplemental P4 is capable of “rescuing” poor-quality blastocysts, presumably via the now well-described actions on the endometrium and consequent effects on uterine lumen fluid composition.     

Rejoinder for discussion on “Horseshoe-based Bayesian nonparametric estimation of effective population size trajectories”

Phylodynamics is an area of population genetics that uses genetic sequence data to estimate past population dynamics. Modern state-of-the-art Bayesian nonparametric methods for recovering population size trajectories of unknown form use either change-point models or Gaussian process priors. Change-point models suffer from computational issues when the number of change-points is unknown and needs to be estimated. Gaussian process-based methods lack local adaptivity and cannot accurately recover trajectories that exhibit features such as abrupt changes in trend or varying levels of smoothness. We propose a novel, locally adaptive approach to Bayesian nonparametric phylodynamic inference that has the flexibility to accommodate a large class of functional behaviors. Local adaptivity results from modeling the log-transformed effective population size a priori as a horseshoe Markov random field, a recently proposed statistical model that blends together the best properties of the change-point and Gaussian process modeling paradigms. We use simulated data to assess model performance, and find that our proposed method results in reduced bias and increased precision when compared to contemporary methods. We also use our models to reconstruct past changes in genetic diversity of human hepatitis C virus in Egypt and to estimate population size changes of ancient and modern steppe bison. These analyses show that our new method captures features of the population size trajectories that were missed by the state-of-the-art methods.     

Dependence of the safe rectum dose on the CTV–PTV margin size and treatment technique

Background

Late rectal injury is a common side effect of external beam radiotherapy for prostate cancer.

Aim

The aim of this study was to evaluate what total dose may be safely delivered for prostate patients for 3DCRT and IMRT techniques and the CTV–PTV margin.

Materials and methods

3DCRT and IMRT plans were prepared for 12 patients. For each patient PTV was defined with CTV–PTV margins of 0.4, 0.6, …, 1.0 cm, and total doses of 70, 72, …, 80 Gy, with 2 Gy dose fraction. NTCP values for the rectum were calculated using the Lyman model. Both techniques were compared in terms of population mean DVH.

Results

Significantly smaller NTCPs for IMRT were obtained. For both techniques diminishing the margin CTV–PTV of 2 mm leads to decreasing the NTCP of about 0.03. For total dose of 80 Gy the NTCP was smaller than 10% for the 4 mm margin only. The QUANTEC dose volume constraints were more frequently fulfilled for the IMRT technique than for the 3DCRT technique.

Conclusions

The IMRT technique is safer for prostate patients than the 3DCRT. If very high total doses are applied the CTV–PTV margin of 0.4 cm and the IMRT technique should be used. If the CTV–PTV margin of 0.6 cm is applied, the NTCP is smaller than 10% for the 3DCRT and IMRT techniques for the total doses smaller than 74 Gy and 78 Gy, respectively.     

Spatial pattern of size distribution of four fish species on Réunion coral reef flats

A comparative study of the size distribution of four fish species was performed on three geomorphological zones (back reef, inner reef flat and outer reef flat) on two comparable fringing reef areas (disturbed and non-disturbed) of Reunion Island, S. W. Indian Ocean. The species chosen Chaetodon trifasciatus, Dascyllus aruanus, Stethojulis albovittata and Ctenochaetus striatus were selected both for their abundance and their diverse diets. The method used is based on the estimation of fish size directly underwater by comparison to a graduated table, i.e. photographs of the species for which different size-classes were previously determined. For the two areas, the size of fishes increases from the back reef zone to the outer reef flat, except for D. aruanus which is not present in sufficient numbers on the outer reef flat to allow a statistical analysis. This suggests the existence of a nursery zone in the back reef from which these species might colonize the reef flat. On the back reef zone and the inner reef flat, there is a significant difference in the size distribution of fishes between the disturbed and non-disturbed areas, except for S. albovittata. The number of juveniles is significantly lower in the disturbed area, probably due to environmental perturbations.

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Résumé Une étude de la distribution des tailles de quatre espéces de poissons coralliens a été réalisée sur trois zones géomorphologiques (arriére récif, platier interne et platier externe) de deux secteurs récifaux comparables (dégradé et non dégradé) de l'île de la Réunion, océan Indien occidental. Les espéces étudiées, Chaetodon trisfaciatus, Dascyllus aruanus, Stethojulis albovittata et Ctenochaetus striatus ont été choisies pour leur abondance et leur diversité de régime alimentaire. La technique utilisée consiste á estimer la longueur du poisson directement sous l'eau á l'aide d'une tablette graduée. Des photographies de poissons de différentes tailles, préalablement définies, y ont été fixées, et ceci pour les quatre espéces. Pour les deux secteurs, une augmentation réguliére de la taille des poissons depuis l'arriére récif jusqu' au platier externe est apparue, sauf pour D. Aruanus ui n'est apas suffisamment abondante sur le platier externe pour permettre une analyse statistique. Ces observations suggérent l'existence d'une nurserie dans l'arriére récif á partir duquel pourrait s' opérer la colonisation du platier récifal. Dans les zones d' arriére récif et de platier interne, il y a par ailleurs une différence significative dans la distribution des tailles des poissons entre le secteur dégradé et le secteur non dégradé, sauf pour S. albovittata. Le nombre des juvéniles est significativement plus faible dans le secteur dégradé, ce qui pourrait être dû aux dégradations de l'environment corallien.

     

Effects of food rewards offered by ant–plant Macaranga on the colony size of ants

Myrmecophytes (ant–plants) have special hollow structures (domatia) in which obligate ant partners nest. As the ants live only on the plants and feed exclusively on plant food bodies, sap-sucking homopterans in the domatia, and/or the homopterans honeydew, they are suitable for the study of colony size regulation by food. We examined factors regulating ant colony size in four myrmecophytic Macaranga species, which have strictly species-specific association with Crematogaster symbiont ants. Intra- and interspecific comparison of the plants showed that the ant biomass per unit food biomass was constant irrespective of plant developmental stage and plant species, suggesting that the ant colony size is limited by food supply. The primary food offered by the plants to the ants was different among Macaranga species. Ants in Macaranga beccariana and Macaranga bancana relied on homopterans rather than food bodies, and appeared to regulate the homopteran biomass and, as a consequence, regulate the ants own biomass. In contrast, ants in Macaranga winkleri and Macaranga trachyphylla relied primarily on food bodies rather than homopterans, and the plants appeared to manipulate the ant colony size. Per capita plant investment in ants (ant dry weight plant dry weight^–1) was different among the four Macaranga species. The homoptera-dependent M. beccariana and M. bancana harbored lower biomass of ants than the food-body dependent M. winkleri, suggesting that energy loss is involved in the homoptera-interposing symbiotic system which has one additional trophic level. The plants investment ratio to the ants generally decreased as plants grew. The evolution of the plant reward-offering system in ant–plant–homopteran symbioses is discussed with an emphasis on the role of homopterans.     

When is bigger better? The effects of group size on the evolution of helping behaviours

Understanding the evolution of sociality in humans and other species requires understanding how selection on social behaviour varies with group size. However, the effects of group size are frequently obscured in the theoretical literature, which often makes assumptions that are at odds with empirical findings. In particular, mechanisms are suggested as supporting large‐scale cooperation when they would in fact rapidly become ineffective with increasing group size. Here we review the literature on the evolution of helping behaviours (cooperation and altruism), and frame it using a simple synthetic model that allows us to delineate how the three main components of the selection pressure on helping must vary with increasing group size. The first component is the marginal benefit of helping to group members, which determines both direct fitness benefits to the actor and indirect fitness benefits to recipients. While this is often assumed to be independent of group size, marginal benefits are in practice likely to be maximal at intermediate group sizes for many types of collective action problems, and will eventually become very small in large groups due to the law of decreasing marginal returns. The second component is the response of social partners on the past play of an actor, which underlies conditional behaviour under repeated social interactions. We argue that under realistic conditions on the transmission of information in a population, this response on past play decreases rapidly with increasing group size so that reciprocity alone (whether direct, indirect, or generalised) cannot sustain cooperation in very large groups. The final component is the relatedness between actor and recipient, which, according to the rules of inheritance, again decreases rapidly with increasing group size. These results explain why helping behaviours in very large social groups are limited to cases where the number of reproducing individuals is small, as in social insects, or where there are social institutions that can promote (possibly through sanctioning) large‐scale cooperation, as in human societies. Finally, we discuss how individually devised institutions can foster the transition from small‐scale to large‐scale cooperative groups in human evolution.