Introduction

The aggregate spatial distribution pattern of parasites is a common characteristic among various types of hosts and metazoan parasites and is considered a law of parasite ecology (^{CROFTON, 1971}; ^{VON ZUBEN, 1997}; ^{POULIN, 2007a}). This distribution pattern can be observed in practice, with many hosts harboring few or no parasites and few hosts harboring many parasites (^{SHAW & DOBSON, 1995}; ^{POULIN, 2007b}).

Because of the heterogeneous size of parasitic infrapopulations, parasite spacial distribution is significant in the epidemiology of parasitic diseases and is observed in two distribution patterns: homogeneous distribution, which is associated with the mortality and density of parasites and the mortality of hosts induced by the parasites; and aggregate distribution, which is associated with heterogeneous host susceptibility to infection, parasite reproduction in the host and different abilities of hosts to eliminate parasites through immune responses or other mechanisms (^{ANDERSON & GORDON, 1982}).

The inherent characteristics and habits of hosts can also contribute to different degrees of parasite aggregation. An approach to assessing aggregation processes in species of fish parasites with the potential for use as a discriminator of stocks or populations of hosts was developed by ^{Lester (2012)}, who analyzed aggregations according to parasite species by determining the relationship between parameters of aggregation and aspects of parasitic biology, such as the number of hosts participating in the biological cycle.

Conversely, ^{Poulin (2013)} conducted a meta-analysis with data on 410 samples compiled from several published articles to explain possible variations in parasite aggregation. In this study, the author used a mixed-effects model to analyze the different degrees of aggregation between host samples, and the parasite species, host species and study of origin were included as random effect variables. Thus, the effect of systems or researchers was also considered. The parasite taxon, developmental stages (larval/adult) and host size were variables included as fixed effects.

The approach of ^{Poulin (2013)} was based on knowledge (from experimental evidence) that changes in the host size in the studied samples and differences between parasitic stages (young and old) and their relationship with parasite aggregation could be confirmed in natural samples. As a result, ^{Poulin (2013)} observed that only the host sample size variable, which was included in the model as a confounding variable, was significant and explained 8% of the variability in aggregation. The author also observed that the combination of parasite species, host species and study of origin explained nearly two-thirds of the variability that was not explained by the fixed effects. Although ^{Poulin (2013)} considered the idiosyncrasies of the systems or researchers by using the mixed-effects model, the characteristics of studies that utilize databases can also produce different results compared with studies developed with data generated by the research group itself in a single location.

Because the presence of a variable can change the effects of another variable when they are analyzed simultaneously (^{MEDRONHO et al., 2009}), certain explanatory variables that are considered in descriptive studies on fish parasite ecology and have the potential to explain the aggregation of parasites must be tested simultaneously. The present study aimed to evaluate whether parasite aggregation in certain taxa of fish parasites is associated with characteristics of the host, such as gender, size, habitat, schooling, feeding habits, aquatic environment and parasite development stage. This approach is intended to add new information related to determinants of change in the degree of aggregation characteristic of parasitic systems.

Materials and Methods

Results

Table 2 shows that the three highest values for mean parasite aggregation were observed for the taxon Trematoda, followed by the taxa Nematoda and Cestoda. Female hosts exhibited greater aggregation than males except for in Hirudinea and Crustacea. Host species that live in schools also presented greater aggregation than species without this characteristic in all taxa. Parasites of marine fish presented greater aggregation in Nematoda, Trematoda, Acanthocephala, Hirudinea and Crustacea. Parasites of benthopelagic fish showed greater aggregation in Nematoda, Trematoda, Acantocephala, Cestoda, Hirudinea and Crustacea. Parasites of carnivorous hosts of the Trematoda, Cestoda and Hirudinea taxa showed greater aggregation compared with other taxa.

The degree of parasite aggregation had a positive and significant correlation with larval stage in the following taxa: Nematoda [0.08 (0.04; 0.11)], Acanthocephala [0.08 (0.04; 0.13)] and Cestoda [0.28 (0.25; 0.32)] and the adult stage in Trematoda [0.14 (0.11; 0.17)] and Cestoda [0.29 (0.25; 0.32)]. Host size exhibited the same correlation type in the following taxa: Nematoda [0.18 (0.14; 0.21)], Trematoda [0.65 (0.63; 0.67)], Acanthocephala [0.23 (0.19; 0.27)], Cestoda [0.68 (0.66; 0.70)] and Crustacea [0.27 (0.23; 0.30)].

A bivariate analysis (Table 3) was performed on the results of association tests and were later complemented by the multivariate analysis. Tables 4 and 5 show the results of the initial and final models. To fit the multiple linear regression models (Table 5), an increased degree of aggregation was associated with female hosts in the Monogena and Cestoda and with male hosts in the Crustacea taxon. In other taxa, the gender variable was not included in the final regression model and excluded because of a lack of significance. Freshwater schooling host species significantly influenced the increased parasite aggregation in most taxa. Parasite aggregation was higher in the Monogenea, Trematoda and Cestoda in benthic host species, Acanthocephala and Crustacea in benthopelagic species and Nematoda in pelagic species. In the Nematoda and Acanthocephala, the increased parasitic aggregation was significantly associated with omnivorous fish species, whereas in the Cestoda and Trematoda, it was associated with planktivorous species. The larval development stage remained in the final model in the Trematoda, Acanthocephala and Cestoda and contributed to increased parasite aggregation; however, this parameter was only calculated for species that develop in an indirect cycle.

Discussion

Studies on the degree of parasite aggregation should use a comparative approach to obtain results that provide a better explanation of the factors that determine this characteristic of parasitic populations. Fish are considered a good model for studies on the aggregate distribution of parasites as well as other types of ecological aspects because they are easily obtained and consequently provide sufficient samples for statistical analyses (^{LUQUE et al., 2013}).

Studies on the structure of parasitic fish communities in Brazil have provided results on parasite aggregation (^{LUQUE et al., 1996}; ^{ISAAC et al., 2000}; ^{LUQUE & ALVES, 2001}; ^{LUQUE et al., 2008}); however, they have not tested the association of parasite aggregation with any biological characteristics of the hosts, which drastically decreases the possibility of extracting patterns that might contribute to explaining the variability of aggregation. Furthermore, this information is included in studies that describe parasitic communities with no comparative purpose.

In the present study, problems detected in previous analyses were minimized. Such problems were attributed to databases that were compiled from different sources and used in these analyses (^{LUQUE et al., 2004}). Differences in the methods used to detect and identify parasites in different sources may cause reading variations in the results. Furthermore, different host species included in the same data set often are originated from different geographical areas. The availability of different parasite species has a strong regional influence because of variation between regions, which adds another element of fluctuation to these datasets. Therefore, the consistency of the results of the present study was improved because the dataset included fish from the same geographical location, and all of the hosts and parasites were examined and identified using the same standards of a single research group. In addition, the present study tested the significance of biotic variables as determinants of the degree of parasite aggregation, which had not been tested to date.

The results of the bivariate and multivariate analyses are complementary and demonstrate the active strength of one variable acting on another when they are analyzed simultaneously, which can change the significance status. In addition, these results corroborate the importance of regression analyses to evaluate true associations because such analyses minimize the action of confounding variables and thus prevent erroneous conclusions (^{MEDRONHO et al., 2009}). Thus, the multifactorial nature of variations in the population dynamics of parasites, which is expressed as parasite aggregation, becomes evident.

The influence of a fish species' ability to form schools on the degree of parasite aggregation is presented as a determining factor in parasite diversity; however, the various results require additional investigation (^{MORAND et al., 2000}). The formation of schools might be expected to allow greater access of parasitic groups to their hosts because schools increase the size of the resource to be explored from a macroecological perspective, and schooling can influence the abundance of certain parasites, susceptibility of hosts to infection and parasite aggregation values, which was observed in the present study for all parasite taxa except Acanthocephala.

The feeding habits of hosts may also be associated with the degree of parasite aggregation, specifically for endoparasites that are generally transmitted at a trophic level. Because of the amplitude of their trophic spectrum, which is diversified and less specialized than that of fish with more restricted diets (carnivore and planktivore), omnivorous fish would be expected to have access to a greater number and diversity of parasites, which would also influence the degree of aggregation according to diet. However, this behavioral pattern was not observed in the present study, which might have been caused by biological differences in the set of hosts studied in our sample. This explanation can also be applied to differences found in aggregation values, which may be related to different feeding behaviors among fish from different habitats. Benthic fish have a more generalist diet and pelagic fish a more specialized diet; this behavior is consistent with our results, which showed that benthic fish exhibited a greater degree of aggregation in most taxa.

Host size, which is an indirect measure of the degree of susceptibility to parasitic infections, can act as a determinant of variations in the degree of parasite aggregation (^{POULIN, 2013}). However, when analyzing size variations in fish from the studied samples, ^{Poulin (2013)} did not observe significant effects on the variability of parasite aggregation, either in the entire sample or within a particular group of parasites. In the present study, however, the host size variable was evaluated as a determinant of parasite aggregation between the sizes of fish from different samples and not within each sample, and the results were significant. This variable initially explains most of the parasite distribution, abundance and diversity in a particular host (^{LUQUE et al., 2004}). The association between the degree of aggregation and body length was expected because hosts with greater length should be able to host a greater number of parasites and because body size is a good measure of total nutrients or energy available in a host to support a parasite species (^{LUQUE et al., 2004}). Therefore, the values of parasite abundance may be higher in hosts with greater total length, thereby increasing the possibility of a higher degree of aggregation.

A similar situation may occur for differences in the degree of aggregation between different parasitic stages (larvae and adults). However, ^{Poulin (2013)} did not observe significant effects of the development stage on aggregation levels, which is inconsistent with the results of ^{Lester (2012)}, who associated the discrepancies with differences in sample size and number of species, which were higher in his study, and a more rigorous assessment of species-specific effects. In the present study, aggregations significantly increased with increases in the proportion of larvae, which indicates that the development stage is a determinant of aggregation. Because of different levels of host specificity, which is greater in larvae than in adults, a greater degree of aggregation was expected for parasites in the larval stage.

In the present study, the factors that could be involved in aggregation were evaluated for each higher taxon, whereas ^{Poulin (2013)} tested the development stage and taxon as possible determinants of aggregation. Furthermore, the characteristics of the databases used in the analyses are quite different. Thus, methodological issues may partly explain the different results observed among studies. Moreover, different results may also be a result of the biological characteristics of each parasite species because aggregation as a function of the development stage can be influenced by the particular characteristics of the different biological cycles. Therefore, a comparative analysis by parasite species and an analysis by higher taxa would be required to clarify this issue.

Regarding host gender and its possible association with the degree of parasite aggregation, the results are heterogeneous, and there are no clearly defined standards that could be attributed to differences in biological and behavioral aspects between male and female hosts. Because there are no studies on the biology and population dynamics of most hosts, it is difficult to establish whether these differences may be true standards in the distribution of parasites or just stochastic results as discussed in studies on the ecology of parasitic communities of marine fish (^{LUQUE et al., 1996}; ^{LUQUE & ALVES, 2001}).

Except for the body size and development stage, the tested variables showed a significance degree of the taxon dependence. On a larger scale, other factors may influence the aggregation of fish parasites in the region because the correlation coefficients for all taxa and stages were lower than 60%. Macroecological changes may influence parasite abundance (^{LUQUE & POULIN, 2008}), and according to ^{Braga (2001)}, the coastal area of Rio de Janeiro is strongly influenced by upwelling systems and subtropical convergence, which are important for the feeding and reproduction of marine organisms (^{ODEBRECHT & CASTELLO, 2001}). This oceanographic transition zone may represent the northern limit of species from cooler regions or the southern limit for more tropical species, and this zone also receives migratory birds and aquatic mammals from the two hemispheres that may act as definitive hosts of several parasite species of marine fish. The differences between the degrees of parasite aggregation of freshwater and marine fish also reinforce the possibility of macroecological influences on aggregation. Although ^{Marcogliese & Cone (1997)} and ^{Luque & Poulin (2008)} did not detect differences between the parasite diversity of marine and freshwater fish, the possibility that different environmental conditions may influence the degree of aggregation cannot be discounted.

Although parasite aggregation is considered an intrinsic property of parasitic processes, the results of the present study highlight the need to expand investigations by using more comprehensive databases to analyze the combined action of factors with a significant potential influence on the degrees of aggregation and evaluate the role of these factors in the transmission of parasitic diseases.