Haploid females in the isomorphic biphasic life-cycle of Gracilaria chilensis excel in survival

Background Conditional differentiation is one of the most fundamental drivers of biodiversity. Competitive entities (usually species) differ in environmental or ecological niche enabling them to co-exist. Conditional differentiation of haploid and diploid generations is considered to be a requirement for the evolutionary stability of isomorphic biphasic life-cycles and the cause for the natural occurrence of both phases at uneven abundances. Theoretically, stage dependent survival rates are the most efficient way to explain conditional differentiation. Results We tested for conditional differentiation in survival rates among life stages (haploid males, haploid females, and diploids) of Gracilaria chilensis, an intertidal red alga occurring along the Chilean shores. Therefore, the fate of individuals was followed periodically for 3 years in five intertidal pools and, for the first time in isomorphic red algae, a composite model of the instantaneous survival rates was applied. The results showed the survival dependency on density (both competition and Allee effects), fertility, age, size, season and location, as well as the differentiation among stages for the survival dependencies of these factors. The young haploid females survived more than the young of the other stages under Allee effects during the environmentally stressful season at the more exposed locations, and under self-thinning during the active growth season. Furthermore, fertile haploid females had a higher survival than fertile haploid males or fertile diploids. Conclusions Here, we show a survival advantage of haploids over diploids. The haploid females probably optimize their resource management targeting structural and physiological adaptations that significantly enhance survival under harsher conditions. In a companion paper we demonstrate a fertility advantage of diploids over haploids. Together, the survival and fertility differentiation support the evolution and prevalence of biphasic life-cycles. Electronic supplementary material The online version of this article (10.1186/s12862-018-1285-z) contains supplementary material, which is available to authorized users.


Introduction
Almost all algae (green, brown and red) have complex biphasic life-cycles, also known as haploid-diploid lifecycles, that alternate between free-living diploid (tetrasporophytes) and haploid (gametophytes) phases. On the other hand, somatic development occurs only in the diploid phase in animals and land plants (except moss and ferns). A dramatic reduction of the haploid phase is observed during the development of land plants and the multicellular haploid generation went extinct in vascular plants roughly 400 million years ago [1,2]. The loss of the complex biphasic life-cycle in land plants has classically been related to adaptation to aerial and potentially desiccating habitats, but various evolutionary scenarios are still debated [2]. Alternatively, haploid-diploid lifecycles may have been retained in algae because they conferred functional advantages. However, the evolutionary stability of the biphasic life-cycle in algae is puzzling ecologists and evolutionists. It has been argued that niche partitioning among phases is what sustains this stability [3]. In algae characterized by morphologically highly distinct haploids and diploids (i.e. heteromorphic biphasic life-cycle), clear ecological differentiation has been observed between phases [4]. Phase differentiation is much less understood in isomorphic biphasic life-cycles, where the adult gametophytes and tetrasporophytes are virtually indistinguishable. As a consequence of isomorphicity, the sympatric haploid and diploid generations should theoretically show balanced field abundances (i.e, even ratios of haploids-to-diploids, H:D, also known as gametophyte-to-tetrasporophyte ratio, G:T). However, the commonly observed unbalance in the field has been taken as evidence of ploidy differentiation [5][6][7][8][9][10]. Different cytological processes of spore production [11,12] and niche partitioning through conditional differentiation of their ecophysiological responses to environmental stimuli [5,6,8,[13][14][15][16][17][18] have been proposed to lead to unbalanced ploidy rates and abundances in haploid-diploid populations. From this conditional differentiation of phases follows that one phase should be more competitive in one set of environmental condition while the other phase should be superior under a different set; and fine-scale difference in habitat characteristics allow both gametophytes and tetrasporophytes to co-exist sympatrically. Several studies have shown ecophysiological and/or subtle morphological differences among life-cycle stages [5,[13][14][15][16][17][18] and demonstrated some differentiation between haploid and diploid vital rates [6,7,9,10,14,16,17]. However, in most of these studies, the performed analyses were fragmented, focusing only on specific aspects (such as spore viability, resistance to herbivory or photosynthetic performance), and several were based upon laboratory experiments rather than measures under natural conditions. Consequently, they were unable to demonstrate the occurrence in the field of the conditional differentiation among the isomorphic adults that can only be unveiled by an integrative analysis. The few remaining studies that attempted this integrative analysis [6,7,9,10] found differences among life-cycle stages regarding fertility, growth or survival rates as predicted by Hughes and Otto hypothesis [3]. However, most have addressed the whole life-cycle with insufficient resolution to unveil stage differentiation within each demographic aspect.
Survival (or mortality) is one of the fundamental events in a life cycle. It is determinant for the life expectancy and has as well a strong influence on the reproductive value of an individual (i.e. its contribution to the next generation) [19]. The classical approaches for modeling demography aggregate individuals in state variables assuming homogeneity within each variable [19]. Although advantageous for their simplicity and lighter calculus, these models are unable to describe and simulate with detail the heterogeneity among individuals that leads to the complexity of the population dynamics, hence veiling holistic details. Moreover, these classical approaches are not well suited for congregating the drivers of mortality, as only a case-by-case approach can merge the factors external to an individual, but common to the population (like population density), with the internal properties of an individual (such as age, size or sex). As these internal and external factors interact in a multiplicative process, we followed the methodology applied in fisheries science [20,21] by using instantaneous survival rates.
We monitored individuals of the red alga Gracilaria chilensis (Greville) Bird, McLachlan & Oliveira, periodically over 3 years. Each individual was tagged and its properties followed from birth to death. This data set represents an excellent opportunity to infer if and how diploids and haploid males and females differ in fundamental vital rates: fertility, growth, and survival. Here, we tested for conditional differentiation of survival rates among life-cycle stages of G. chilensis. The several drivers of differentiated survival were accessed applying a composite model of the instantaneous survival rates.

Demographic data
Gracilaria chilensis is a red macroalga occurring in the intertidal along the Chilean shore that plays a highly relevant role in the agar market worldwide. Individuals are fixed to rocky bottom by a holdfast and may survive and re-grow new fronds after the older were lost [22]. This species has a complex isomorphic biphasic lifecycle ( Fig. 1), also known as haploid-diploid life-cycle, alternating free living tetrasporophytes (diploid) and gametophytes (haploid). The gametophyte males release gametes that fertilize the gametophyte females. From the fertilized oogonia develops a short-lived diploid epiphytic stage (the carposporophyte), acquiring nutrients from the female gametophyte for the development and production of diploid spores (i.e., carpospores) [23]. The carpospores are released into the environment where they settle and develop to become tetrasporophyte adults, which in their turn produce haploid tetraspores after meiosis and release them to the environment. Settled tetraspores grow to become adult male or female gametophytes, thus closing the cycle.
Demographic monitoring of individuals was performed in 5 intertidal rock-pools ('Corral 1' , 'Corral 2' , 'Niebla 1' , 'Niebla 2' and 'Niebla 3') within 2 sites (Corral 39°52′ 27″S / 73°24′02″W and Niebla 39°55′47″S / 73°23′57″ W) along the margins of the Valdivia river estuary. These pools corresponded to G. chilensis stands in the upper intertidal. The Niebla stands were in rock-pools that preserved some amount of water during low tide. The Corral stands where on rocky platforms presenting a gentle slope and the individuals dried on the bare rock during low tide. Sampling was performed from October 2009 to February 2011 at 4-month intervals. The interval between February and June mostly comprehends the austral autumn, the interval between June and October mostly comprehends the austral winter and the interval between October and February comprehends the austral spring and summer. All individuals within each rockpool were mapped to a pair of fixed points. A small piece of tissue was collected from each individual. Males (M), females (F) and tetrasporophytes (D for diploids) were identified using first the observation of reproductive structures under a binocular microscope, and the sex-specific molecular markers for the remaining vegetative individuals [24]. Frond length and diameter were recorded for each individual observed at each census. The volume (v i ) of a cylinder of equal length and diameter was used as a proxy for ramet biomass measured as dry weight (r 2 = 0.877; p < 0.0001; n = 281). Every individual absent after 4 months was re-checked after 8 months for confirmation and considered as dead when missing in the re-check. The sampling sites were in public land, no specific permissions were required for these locations and activities, G. chilensis is not an endangered or protected species, and the sampling method was nondestructive.

Composite survival rates
The finite survival rate (s i ) of ramet i in pool p was transformed into ṡ by applying the logit function. This was required because the observations of s = 0 disabled the estimation of the composite survival model parameters, as explained in the paragraph below. The ṡ had a corresponding instantaneous survival rate given by ṡ i = e yi . This was decomposed into its several forcings by y i = φ i + η i , where η i accounted for the cost of fertility on the survival of an individual and φ i accounted for the effects of age, size and algal stand density. This model could be applied differently to each stage, pool and season (Fig. 2). Following the standard in fisheries science [20,21], the factors driving survival were assumed to interact in a multiplicative way applied over finite rates and thus additive when applied over their derived instantaneous rates i.e., e φi + ηi = e φi •e ηi = ṡ i . First, the effects on survival of age, size and location were estimated from the instantaneous survival rate of each individual (y i ) assuming that η i = 0. Next, the effect of fertility (η i ) was estimated by η i = y i -φ i .
The parameter estimation could not use observations of s = 0, in which case the resulting y = −∞ would disable posterior calculations. Since we worked with individual survival, which could only be 0 or 1, s had to be transformed into ṡ by applying the logit function, ṡ = exp.(s)/ (1 + exp.(s)); with the observations of individual survival becoming ṡ = 0.5 or ṡ = 0.73. The estimation of the composite survival was applied to ṡ and, afterwards, survival was reverse calculated as s = log(ṡ/(1-ṡ)). At each step of the iterative estimation of φ i and η i we ascertained that log(0.5) < y < log(0.73), and thus 0 < s < 1. Failure of this quality test was indicative that the current model estimation was not taking into account fundamental interactions among the drivers of mortality/survival. Some individuals temporarily consisted of bare holdfasts, either because they were germlings or because their fronds had detached and new ones had not grown yet. G. chilensis holdfasts are small, prostrated encrusting disks extremely difficult to detect in the field when fronds are not present. Hence, the sampling procedure only detected these individuals when they survived and grew new fronds. Because we only detected the bare holdfasts that survived, their observed survival rate always equaled 1. To prevent this bias, the survival dynamics of holdfasts without fronds was excluded from the remaining analysis.
Age, size and density dependent survival φ The age of an algal ramet is identical to the age of its holdfast, which corresponds to the perennial part of the individual. Due to the temporal turnover of fronds (i.e. that can be considered as ephemeral) the age of a ramet is not necessarily the age of its current frond. The overwhelming majority of the individuals with fronds corresponded to younger ramets with small fronds. Hence, an analysis unbiased towards the young required grouping individuals according to age×size classes and estimating the φ i using their group mean. Then, all classes accepted were equally weighted, irrespective of the number of observations within each of them. Age was aggregated by age ≤ 2 projection intervals (i.e., ≤8 month, reported as "young") and age > 2 projection intervals (i.e.,> 8 month, reported as "old"). The frond sizes were given by their volumes (v) in cm 3 , with the size aggregation given by the − 6 < log(v) < 6 at intervals of 1 or sometimes 2. The φ of each of the two age classes was fit to a second-degree polynomial dependent from log(v) i.e., φ = a + b•log(v) + c•log(v) 2 . These relations were also dependent on the stand density, and thus they were tested for three stand densities aggregated within V = [0 2], V = [2;5], and V= [5,12] L•m 2 . V is the sum of all frond volumes (v) in the pool, excluding the larger frond to prevent bias from the random occurrence of exceptionally large individuals, and standardized by pool area. The fundamental role of density in the demography of G. chilensis has previously been demonstrated [25].
Fertility-dependent survival η i Above a certain age and size threshold, almost all individuals were fertile, whereas the infertile tended to be younger and smaller. Hence, it was not feasible to compare fertile to infertile individuals in an ANOVA design. Fertility-dependent survival was tested separately for fertile and infertile individuals using permutation tests with 3-way orthogonal ANOVA designs (stage×pool×season) and 10,000 permutations. Factors 'stage' and 'season' were fixed effects and factor 'pool' was random effects. Third order interactions could not be determined as they lacked replication within. The fertility-dependent survival were estimated from the respective fertile and infertile ANOVA linear models setting α = 0 for the factors and/or interactions that were found non-significant.

Results
The survival dependency from age, size and stand density (φ) showed a dynamics with several conspicuous features matching well-established demographic characteristics of plants and seaweeds (Fig. 2): i) older individuals had higher survival probabilities than younger individuals, with the latter always showing low survival probabilities. ii) very low densities were detrimental to survival; a feature known as Allee effects. Under these circumstances, the survival of older individuals The φ is shown in the left y-axis and its corresponding finite survival rate (s) in the right yaxis. Individuals grouped according to their ages as < 8 month (young) or > 8 month (old). Frond volume (v) given in cm 3 . The line-fits with poor non-linear correlation coefficients (R 2 < 0.5) were replaced by their group mean was optimized at intermediate sizes, whereas both size extremes were detrimental (Fig. 2a). iii) under high densities, survival was proportional to frond size (Fig. 2c). The survival of the smaller decreased whereas the survival of the larger increased when compared to the size-even survival observed under moderate densities (i.e., compared to Fig. 2b). This is the expected from the self-thinning law, which states that under active growth the stands get crowded subjecting individuals to intense competition; with the larger and stronger overcoming the smaller and weaker.
The survival dynamics, with density-and age-dependent components that revealed Allee effects and self-thinning, was then tested for seasonality (Fig. 3). G. chilensis shows active growth, with stands getting crowded during the winter season. Hence, self-thinning took place during the winter season while affecting individuals of all ages (Fig. 3c). Furthermore, during this season the younger individuals were affected by self-thinning even when living under moderate densities (Fig. 3b). During the springsummer season, environmental stress replaced competition as the fundamental cause of mortality. Indeed, survival during spring-summer season was dependent from stand density, with the occurrence of Allee effects (Fig. 3). Younger individuals consistently occurred under very low population densities during any season (Fig. 3a) and always shown very low survival rates.
The Allee effects, occurring only during the environmentally harsher spring-summer season, were then analyzed regarding the effects of location and ploidy (Fig. 4).
Under similar population densities, the strength of the Allee effects varied with location, being the strongest at Corral 2 (C2), a little weaker at Corral 1 (C1), and the weakest at the Niebla (N) pools (Fig. 4a). Stronger Allee effects increased the differentiation in survival between young and old as well as the sensitivity of both size extremes (Fig. 4a at the Corral 2 pool). On the other hand, the absence of Allee effects drove individuals of different ages into evening their survival rates (Fig. 4a, at the Niebla pools). Under the strongest Allee effects (at the Corral 2 pool) a differentiation among stages was visible: the survival of the young and small haploid females prevailed over the survival of the young and small diploids, which in their turn was higher than the survival of the young and small haploid males (Fig. 4b).
The self-thinning general dynamics, occurring only during the winter growth season and with an agedependent effect, was analyzed for effects of location and ploidy (Fig. 5). Self-thinning was only observed in the Corral 1, Niebla 1 and 2 pools. In the Corral 2 and Niebla 3 pools, the young were observed at high densities and always showed very low survival, whereas the older individuals were only observed at moderate densities. The number of older individuals within the Corral 1, and Niebla 1 and 2 pools was too small to split them into stage classes and perform robust testing. In the Corral 1 pool, stages showed differences while self-thinning, with enhanced survival of the haploid females. In order to obtain the best linefits specific to each stage the data from moderate and high densities were merged.
In most of the situations where Allee effects or selfthinning were absent it was still possible to observe  Each panel (a, b and c) corresponds to a range of algal stand density (V). The φ is shown in the left y-axis and its corresponding finite survival rate (s) in the right y-axis. Individuals were grouped according to their ages as < 8 month (young) or > 8 month (old). Frond volume (v) given in cm 3 . The line-fits with poor non-linear correlation coefficients (R 2 < 0.5) were replaced by their group mean. Only groups with sufficient data for reliable estimates are shown. Panels (a, b) share the same scales. Panels (b, c) share the same legend differences in the survival rates among pools and seasons. Yet, these results were subsidiary and we chose not to present them. The age-, size-and density-dependent survival (φ) relations derived above were congregated in a general algorithm used to estimate the φ i -i.e., specific to each individual at each census -and subsequently the η i = ṡ i -φ i .
The fertility-dependent survival components η exhibited means of μ infer = − 0.0011 and μ fer = 0.001 for the infertile and fertile fronds, respectively. Their difference Δη = 0.0021 was much smaller than their error variances σ 2 infer = 0.019 and σ 2 fer = 0.021, and a permutation test confirmed that this difference was not significant (p = 0.746, df factor = 1, df error = 2762). Despite their resemblance in mean values, their internal data structures -i.e., the fertility-dependent survival (η) dispersal pattern and correlation with its forcing functions -were quite different. Indeed, separate permutation tests (Table 1)    females survived 40% better than the fertile males and 20% better than the fertile diploids.
Using the η i and φ i , we estimated the instantaneous survival rate for each individual at each census interval. Then, the logit function was applied backwards to retrieve the predicted finite survival rate. Clustering individuals by stage, pool and season, and estimating the respective survival probability distributions enabled a clear perspective of the haploid dominance over diploids in this aspect of the life-cycle (Fig. 6). The observed generalized survival of G. chilensis was low. Haploids tended to have a higher survival than diploids, particularly when the survival rates were amongst the lowest observed. Diploid individuals were outperformed by the haploid females in 73% and by the haploid males in 67% of the pool×season combinations.

Discussion
Conditional differentiation is considered as a requirement for the stability and evolution of isomorphic biphasic life-cycles [3] and, except when haploids are favoured in some situations and diploids in other, haploid-diploid life cycles will rapidly evolve toward diplonty or haplonty. Theoretically, this conditional differentiation should be most efficient when acting over survival rates [7,[26][27][28][29]. However, only part of the studies made on haploid-diploid algae has been able to detect difference in survival rates  among life-cycle stages in the field [not detected: 6,7; detected: 9,30]. For example, even in studies sustained by extensive field monitoring [6,7], the estimation of the overall survival rates has not allowed the detection of any clear survival differences between stages in Gracilaria populations from the Atlantic. On the other hand, our study reveals clear differences in survival among different life-history stages in natural populations of G. chilensis, thereby supporting the role of conditional differentiation in the maintenance of the haploid-diploid life-cycle of this species. Here, we showed that haploid females survive better than any other life history stage, especially when resource management becomes critical for survival. The young haploid females survived better than the young haploid males or the young diploids under stress from competition during the active growth season, and under stress from Allee effects during the environmentally stressful spring-summer season. Supporting our results, a haploid superiority regarding the survival of G. chilensis had previously been observed under laboratory experiments for juvenile fronds subject to light and salinity gradients [22]. Furthermore, our results also showed that the haploid females endure better the fertility-related mortality than the haploid males or the diploids. Regardless of the tide pool, season or maturity state, a survival advantage of diploids was never observed, implying that this ploidy stage must present an advantage in some other aspect of the life-cycle. G. chilensis diploids have been observed to completely dominate populations maintained only or mainly by asexual reproduction (i.e. budding) and vegetative growth [31]. Moreover, in the companion article (Vieira VMNCS, Engelen AH, Huanel O, Guillemin M-L: Differentiation of haploid and diploid fertilities in Gracilaria chilensis affect ploidy ratio, submitted) we demonstrate a fertility advantage of diploids over haploids. Differences between phases for distinct vital rates with haploids better at survival and diploids showing higher growth and fertility support the importance of conditional differentiation on evolution and maintenance of biphasic life-cycles. During the environmentally stressful spring-summer season, both the very small and the very large fronds suffered intense Allee effects -i.e., when population densities are so low that they negatively affect individual survival rates and consequently the population dynamics. We hypothesize the increased mortality of the smaller individuals is due to desiccation and UV, and the increased mortality of the larger individuals to be due to hydrodynamic stress from current drag. However, significant differences in survival between stages were only observed for the smaller fronds and benefiting the young haploid females, while larger fronds of all stages exhibited equally poor survival rates. Allee effects have previously been observed in haploid-diploid intertidal algae and have been associated with highly negative impacts of desiccation [8,[32][33][34][35] or hydrodynamic stress [8,36]. Under these stressful conditions, a haploid dominance has frequently been observed in intertidal algal stands [6,7,30,35,[37][38][39][40]. Interestingly, the splatter of waves in areas of high hydrodynamic stress limits the negative impact of desiccation in the intertidal [9] and some evidence support that the haploid advantage could be more related to resistance to desiccation than wave action [8,35,41,42]. For example, in the case of Mazzaella oregona, which occurs in the intertidal at low population densities, diploids dominate in wave-exposed sites whereas haploids dominate in wave-protected sites (i.e. where the absence of splash turns them prone to desiccation) [8]. Similarly, in intertidal populations of M. splendens located in wave-protected sites, diploids dominate during winter whereas haploids dominate during summer [42]. This seasonal pattern has been associated to changes in air temperature and desiccation. For intertidal G. chilensis, intense exposure to UV radiation was demonstrated as an important source of stress [18,43]. Accordingly, Allee effects affected our intertidal pools during the spring-summer season. These pools were located at the mouth of an estuary, where wave action is limited, and corresponded to the highest intertidal G. chilensis parches in both Niebla and Corral. Consequently, individuals could be subject to hydrodynamic stress from currents and tides, and to intense summer desiccation. Mortality was higher in Corral, where the species live on rocky platforms presenting a gentle slope and the individuals are drying on the bare rock during low tide than in Niebla where the species was sampled from rock pools. For G. chilensis studied in exactly the same location 1 year after our experiment, resistance to stress from temperature and UV radiation, conferred by the accumulation of phenolic compounds, was determinant for physiological rates [18]. Fertile females produced more phenolic compounds and were less photo-inhibited than diploids when subject to UV stress and temperatures ≥10°C during 48 h incubations. Together, our study and other studies on G. chilensis [18,43,44] evidenced that, within the intertidal, the young haploid females could have an ecological advantage over the young haploid males and young diploids due to an increased resistance to desiccation and UV. The presence of chemical compounds conferring resistance to desiccation and UV is generalized to the Gracilaria genus [44][45][46][47][48], with ecological advantage for the intertidal individuals having them in larger concentrations [47,48].
Our results show that the young haploid females also survive better than the young diploids under crowded conditions during active growth season. In these conditions, representing an extreme opposite from Allee effects, intense intraspecific competition for space and resources occurs among thalli that lead to self-thinning, a feature well documented to affect both seaweeds and terrestrial plants ( [49,50]; Creed JC, Norton TA, Caetano D, Vieira VMNCS: A meta-analysis shows that seaweeds surpass plants setting life-on-Earth's limit for biomass concentration, submitted). Self-thinning has generally been reported to occur seasonally; mostly impacting populations during the growing season (see review by Scrosati [51]). In G. chilensis, it was observed only during the austral winter. Supporting our findings, increased gametophyte dominance has been observed associated with increased population densities in other haploid-diploid algae [8,[40][41][42].
Finally, our results reveal that in infertile individuals no difference in survival exists between sex or ploidy states. However, when it comes to the fertile individuals, the haploid females survived better than any other fertile fronds. Differences in survival maybe related to distinct capacity to resist feeding pressure among life-cycle stages and linked to the accumulation of herbivore deterring chemical compounds in the reproductive structures of mature thalli. G. chilensis and other species of Gracilaria possess such chemical defenses [52,53]. Furthermore, differences between life-cycle stages in these defense mechanisms have been reported and demonstrated responsible for a stage selected herbivore impact [5,16,17,35,54]. Indeed, herbivores preference for the red alga Asparagopsis armata goes from male gametophytes to sporophytes and at last female gametophytes [17]. Their least preferred tissue to feed on is the cystocarp growing on female thallus and Vergés et al. [17] reported that, indeed, the highest content of secondary metabolites deterring herbivores was found within the cystocarp cell wall.
Regarding the evolutionary benefits of biphasic life-cycles, other hypotheses have been advanced that are not conflictive with the hypothesis proposed by Hughes and Otto [3] but may rather constitute different aspects of a whole dynamics. Lewis [55] proposed that, when resources are scarce, haploids gain advantage from spending fewer resources producing/replicating half the DNA of diploids. This non-genetic explanation for the evolution of life-cycles, which became known as the nutrient limitation hypothesis [56], gained experimental sustain when haploids of Gracilaria verrucosa grew faster than diploids cultivated in nutrient-poor conditions [57]. Since then, new evidence emerged generalizing the cost of nucleotide polymer production in green, red and brown macroalgae by proving that intracellular RNA concentration is strongly dependent on nutrient availability [58]. This nutrient limitation hypothesis may explain why the G. chilensis haploid females excel in survival when the efficiency of resource management becomes critical, for example when competing under self-thinning or in situations where the production of costly chemical compounds that protect from desiccation, UV radiation or herbivory are key. However, in G. chilensis the survival of the two haploid gametophytes was highly distinct with a very low survival of males, lower even than that of the diploids, which should undermine the application of the nutrient limitation hypothesis to G. chilensis. Nonetheless, our concomitant work on G. chilensis fertility (Vieira VMNCS, Engelen AH, Huanel O, Guillemin M-L: Differentiation of haploid and diploid fertilities in Gracilaria chilensis affect ploidy ratio, submitted) showed that the stage differentiation in fecundity is completely symmetrical from the one observed in the current work on survival. It is possible, then, that haploid males alternatively allocate on fecundity their resources spared from DNA duplication. Trade-offs between fertility and survival were also detected in two other red algae from Chile [59] and in several iteroparous plants [60]. Furthermore, in all those plant species the trade-off between fertility and survival was very sensitive to the nutrient availability [60]. Differential allocation of resources to fecundity or survival depending on sex is a commonly encountered trait, especially in the animal kingdom where males produce billions of sperm while females survive longer. When females carry the earlier developmental stages of the next generation -in the case of the red algae, the cystocarps -their survival is a key element in the species' life-cycle dynamics [19]. The survival of the males in this case can be of lesser importance, since only a few of them surviving long enough to reproduce may be sufficient to fertilize most females in the population.

Conclusions
The survival of Gracilaria chilensis depends on density (both due to competition and to Allee effects), fertility, age, size, season and location, with the life-cycle stages differentiating among themselves for the survival dependencies of these factors. This finding supports the hypothesis on the necessity of conditional differentiation for the prevalence of biphasic life-cycles. The young haploid females survived more than the young of other stages under Allee effects during the environmentally stressful season at the more exposed locations, and under self-thinning during the active growth season. Furthermore, fertile haploid females had a higher survival than fertile haploid males or fertile diploids. This differentiation probably arises from the ability of the females to optimize their resource management targeting structural and physiological adaptations that significantly enhance survival under harsher conditions.

Additional file
Additional file 1: Gracilaria chilensis raw data. Data comprising the life cycle stage, size and sexual maturity of each Gracilaria chilensis frond at each pool and each census. (ZIP 830 kb)