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Effects of Decabromodiphenyl Ether (BDE-209) on Inter-Specific Competition between Two Species of Marine Bloom-Forming Microalgae

Decabromodiphenyl ether (BDE-209), a new kind of persistent organic pollutants, was selected to investigate its influence on population growth and inter-specific competition between two species of marine bloom-forming microalgae, Heterosigma akashiwo and Karenia mikimotoi. (1)BDE-209 showed acute toxic effects on both microalgae and H. akashiwo was more sensitive from view of 96 h-EC50 and the ultrastructure variation. (2)The microalgal population growth patterns in mono-culture were density-dependent and the growth of both species in the normal co-culture was significantly depressed by competition (P<0.05) with different initial biomass ratios. BDE-209 exposure significantly changed the growth. (3) Lotka-Volterra competition model was used to simulate the interaction between the microalgae. BDE-209 exposure broke the competitive balance to make competition gradually shift in favor of H. akashiwo. Results suggested BDE-209 did have toxic effects on either microalgal growth or the inter-specific competition, which was quite different from previous reports. Further exploration of the mechanism is needed.


Introduction
Polybrominated diphenyl ethers (PBDEs), the new kind of persistent organic pollutants (POPs) which are structurally similar with Polychlorinated biphenyls (PCBs), are now widely used as additive flame retardants in household and commercial products, especially in electronic ones [1,2]. However, PBDEs could be released into the environment via the manufacturing process and handling, disposal or recycling of the treated products, which would contaminant the environment [3,4,5,6]. It is not only the residential areas but also the polar zone and deep sea are reported the presence of these substances [7,8]. Moreover, PBDEs have the distinct characteristics of bio-accumulation and bio-transformation, and both the terrestrial and the aquatic organisms have been found the presence of PBDEs [9,10,11]. PBDEs have become global pollutants and have aroused the worldwide attention.
The endocrine toxic effects of PBDEs have been documented. For instance, the oral route of deca-BDE affected the thyroid hormone homeostasis of weanling rats [12], and the possible mechanism was that PBDEs elicited toxicity by binding to the transport proteins for thyroid hormones and thus altering thyroid homeostasis [13]. They also could antagonize with female hormone to disrupt the processes of development and reproduction. Low-dose BDE-99 exposure during development caused hyperactivity in the offspring and permanently impaired spermatogenesis by the mean of reduced sperm and spermatid [14]. Another study found that PBDEs exposure increased some metabolizing enzymes of rats which indicated they had the potentially reproductive toxicity [15]. Moreover, PBDEs could disturb the animals' motion, behavior and memory by interfering with the neural system [16].
However, few literatures have focused on the toxic effects of PBDEs on algae, and the obtained results were contradictive. For example, the risk evaluation of PBDEs by the European Commission showed that Deca-BDEs exerted very low toxicity in acute tests for algae with the concentrations being up to the water solubility limit [17]. Moreover, no effects were also expected to occur in the short term tests at concentrations up to the solubility limit of Octa-BDEs by the analogy with another highly brominated diphenyl ether (decabromodiphenyl ether) [18]. In contrast, Kä llqvist et al. found that BDE-47 caused obvious growth inhibition in the marine diatom Skeletonema costatum, and the no observed effect concentration (NOEC) was 6.6 mg/L [19]. BDE-47 had also been found to depress the growth of four species of marine microalgae and affect the activities of antioxidant enzymes [20]. Our recent studies have found that the low brominated congeners (BDE-47, penta-BDEs) damaged the microalgal growth [21]. Nevertheless, the data about higher brominated ones (e.g. BDE-209) were scarce.
Interspecific competition plays a desicive role in the diversity and stability of microalgal community [22]. Microalgal competition is affected by both abiotic and biotic factors. For example, fluctuations in light and nutrient levels could result in the switching of dominance; the opportunist species that were most adaptive to these environmental changes would have a competitive advantage [23]. As to biotic factors, such factors as life history strategies, nutrient-absorbing strategies, migration, and allelopathy could affect inter-specific competition in the community [24,25]. Interactions between different species of microalgae had been studied mathematically by many authors [26,27,28,29,30]. Solé et al. [31] estimated the interactions between two microalgal species based on a model proposed by Chattopadhyay [32], and this study suggested a functional form suitable for quantifying the strength of interaction between algae. Wang et al. [28] reported the interactions between two species of bloom dinoflagellates, Alexandrum tamarense and Prorocentrum donghaiense, in bi-culture and estimated the strength of their interaction by a mathematically model proposed by Uchida et al. [30].
Deca-substituted BDE-209 (3,39,4,49,5,59,6,69-decabromodiphenyl ether) is the primary component of commercial deca-BDE (typically$97%), which constitute approximately 80% of the world market demand for PBDEs [33,34]. Currently, BDE-209 has been found at different levels in abiotic and biotic compartments [3,10,35]. The worldwide presence of BDE-209 indicates that the emphasis should be focus on ascertaining its toxicity. Thus, the discharge of e-waste with a large amount of BDE-209 will aggravate the environmental burden. Heterosigma akashiwo and Karenia mikimotoi are marine bloom-forming microalgae that have caused many red tides in recent years [36,37]; more information is needed on the population growth and inter-specific competition of these species.
We therefore chose BDE-209 as the target pollutant, and two main bloom-forming microalgae as the tested organisms. The purpose of the present study is to illuminate the acute and chronic toxic effects of BDE-209 on the growth and inter-specific competition of microalgae under controlled laboratory conditions. The possible effective mechanism is discussed, and the interspecific competition is quantified using the Lotka-Volterra two species competition model. Our goals are to provide some theoretical help in microalgal competition and to develop a better understanding of BDE-209 toxicity for the purpose of the reasonable use and disposal of electronics.

Materials and Methods
1. The prepared BDE-209 stock 2,29,3,39,4,49,5,59,6,69-decabromodiphenyl ether (BDE-209, C 12 Br 10 O), a kind of white powder, was used in the present study. It was provided by Dr. Ehrenstorfer Laboratories (purity 99.5%) and purchased from Quandao Company (Shanghai, China) Dimethylsulfoxide (DMSO) was used as the organic solvent (HPLC grade, AMRESCO, USA). BDE-209 was dissolved in DMSO to prepare the stock solution and was then diluted to the required concentrations according to a preliminary experiment.
The actual concentrations of BDE-209 in the culture medium were measured by high performance liquid chromatography (HPLC). The liquid chromatograph was Hitachi L-2000. The mobile phase consists of buffer solution A (Na 2 HPO 4 , 3.39 g L 21 ; KH 2 PO 4 , 3.35 g L 21 ) and solution B (HPLC grade methanol). The gradient elution program was as follows: 0-15 min (95% B, 0.1 mL/min), 15 min (100% B). The temperature of the column oven was set at 25uC, and the flow rate was 1.0 ml min 21 . The detective wavelength was 340 nm. 20 ml of the test solution was injected into the HPLC system by an auto injector. A standard curve was generated directly by reverse phase HPLC between the stock concentration of BDE-209 and its waterborne concentration [38]. Then a regression relation between the concentrations of BDE-209 (c) and their area of integral (A) by HPLC was obtained as A = 10434.84c-3633.73 (R 2 .0.9999). The tested concentrations used in the present study were estimated according to the standard curve, and then was found to be less than 0.00426 mg L 21 in all levels of BDE-209 during the whole study.
Quality assurance/Quality control. All the glass instruments were used after high-temperature roasting with the exception of the plastics. The BDE-209 solution was kept in dark place during the test to avoid photolysis. The credibility of the external standard method was valuated as follows and all determinations were performed in the same conditions: the five samples were consecutively injected from the same preparation (RSD = 0.8%). And then 20 ml of test solution was injected to the system every two hours for eight hours and it was found that the results had no marked change (RSD = 1.2%). There were five identical samples used for duplicate test (RSD = 1.7%). The mean recovery rate was about 98.5% (n = 5). The used HPLC system accuracy and precision were examined on the basis of the recovery rates and RSD. It was stated that system accuracy and precision were satisfactory according to the executed statistical determination.

The microalgae culture
Heterosigma akashiwo (Raphidophyta) and Karenia mikimotoi (Dinophyta) were kindly provided by the Algal Center of the Ocean University of China. The algae were grown in closed Erlenmeyer flasks with modified f/2 media [39] at 2261uC 80 mmol photon m 22 s 21 with a 12 h light:dark cycle in illuminating incubators. The initial pH and salinity of the culture medium were adjusted to 8.060.02 and 30, respectively. During the whole experiment, light intensity and temperature were gauged by the JD-3 luxmeter (Shanghai Jiading Instrument, China) and ordinary mercurial thermometer at regular intervals, respectively. The levels of nitrate and phosphate were estimated colorimetrically by the zinc-cadmium [40] and phosphomolybdenum blue reagents [41] at the end of the experiment. Flasks containing the microalgae were shaken manually twice at set times of one day. The microalgae were cultivated to the exponential growth phase for use. The total experimental volume was 250 ml, and a 1-mL sample was collected daily and preserved in Lugol's solution to estimate the microalgal growth by directly counting cell numbers using a hemocytometer under an optical microscope (Motic SFC-18, Motic China Co. Ltd, Xiamen, China). H. akashiwo is easily distinguished from K. mikimotoi by size, shape and swimming pattern.

The concentrations of BDE-209 in acute and subchronic toxicity test
No observed effect concentration (NOEC) of DMSO was 0.75% (v/v) for H. akashiwo and K. mikimotoi in the preliminary experiment. The BDE-209 acute toxicity test was performed according to Swedish standard procedures [42]. The concentrations of BDE-209 within the safety range of DMSO (#0.3%, v/v) were set to the following values with a logarithmic equal-interval of log2 ( Table 1).
The 96 h-EC 50 , the interpolated concentration at which algal population growth would be inhibited by 50% over 96 h, was  Effects of BDE-209 on Marine Microalgae PLOS ONE | www.plosone.org estimated using straight-line graphical interpolation [43]. The initial cell density was set at 1610 4 cells mL 21 for both algae to exclude the influence of initial cellular densities on the determination of the EC 50 [44]. The 96 h-EC 50 values of H. akashiwo and K. mikimotoi were used as the basis for further sub-lethal toxic effects in the co-culture. The relative growth rate was defined by the following formula: Where K r denotes the relative growth rates, N 0 and N t are the population densities at times 0 and t, and T is the time interval.
In the mono-cultures, the initial cell densities of H. akashiwo and K. mikimotoi were showed in the Table 2, and those data can be used as the respective controls for co-culture. Interactions between phytoplankton are expected to be size-dependent due to surface/ volume considerations [45]. Therefore, the initial cell densities for H. akashiwo (abbreviated as H in the experiment) and K. mikimotoi (abbreviated as K in the experiment) in the bi-algal culture were adjusted according to their respective cell volumes so that the size/ density ratios would be 4:1, 1:1 or 1:4.
Then the stock solution of BDE-209 was added into the microalgal mono-and co-culture medium so that two final concentrations were obtained based on the calculated 96 h-EC 50 values; the high concentration treatment was 18 mg L 21 , and the low concentration treatment was 1.8 mg L 21 . The initial biomass ratios in the bi-algal cultures were the same values as the ones described in co-culture without BDE-209. Two controls were used in this experiment: a blank control of microalgae grown in f/2 medium without BDE-209 addition, and a negative control of microalgae grown in DMSO (0.3%, v/v). Both the mono-cultures and co-cultures lasted for 18 days.

The preparation of samples for transmission electron microscope (H-7000TEM, Japan)
The microalgal suspensions from different treated groups in the acute toxicity test were centrifuged at a rotating speed of 35006g at 4uC for 15 min and as much of the supernatant as possible was then removed. Subsequently, the microalgae cells were immersed in a fixative liquid containing 5% glutaraldehyde in 0.05 mol L 21 potassium phosphate buffers (pH 7.4). The treated samples were kept at 4uC overnight in the fixative liquid and washed 3 times using the fixative liquid every 30 min the next day. This preparation was carried out in the absence of sunlight. Slices were prepared according to Zhu (1983) [46].

Statistical analysis
The experimental data were log-transformed, and a logistic growth curve was fitted with a logistic growth model. The following logistic formula was applied: Where N t is the cell density at time t (10 4 cells mL 21 ), K is the carrying capacity of the population (10 4 cells mL 21 ), t is the time interval (d), r is the maximal specific growth rate (d 21 ), and a is a constant related to the initial cell density of algae (N 0 ) (a = ln((K-N 0 )/N 0 )). The formula was applied for the growth phase before the maximal cell density was reached. The maximal population growth rate (r), the constant (a), and the carrying capacity (K) were estimated using nonlinear regression in SPSS version 16.0 by applying the equation (2). Mean values and standard deviations were calculated from the different replicates from each treatment (n = 3), and figures were generated using Sigmaplot 10.0. Differences between treated groups and controls were analyzed by one-way ANOVA in SPSS version 16.0 with significance set at P,0.05.

Acute toxic effect of BDE-209 on the two species of microalgae
In the acute toxicity tests, the relative growth rates of H. akashiwo and K. mikimotoi decreased dramatically with increasing concentrations of BDE-209. The 96 h-EC 50 values were 22.58 mg L 21 for H. akashiwo and 120.8 mg L 21 for K. mikimotoi (Figure 1). Any effect of DMSO on the microalgae could be ignored because of the negative control.

Effect of BDE-209 on ultrastructure of H. akashiwo and K. mikimotoi
In the control group, K. mikimotoi cells were oval in shape with clear outer membranes (Figure 2A). The chloroplast of the cell was intact, and inside the chloroplast the thylakoid was arranged neatly and the grana were folded together ( Figure 2B). The cristae of the mitochondria were visible and the Golgi body was tightly arranged. The cytoplasm, proteasomes and pyrenoids were distinct ( Figure 2C). The nucleus, including an uninjured nuclear membrane and equally distributed nucleoplasm, was in good condition ( Figure 2D). However, the subcellular structure was destroyed upon exposure to BDE-209. The cell swelled, the cellular shape changed to round, and the cell membrane was thickened. The chloroplast became distended, and the number of chloroplasts decreased. The lamellae of the thylakoid were fractured, partially obliterated and even broken down such that it became difficult to distinguish one from the other. The pyrenoids were atrophic and the previously transparent starch sheath turned black. The number of mitochondria increased and the segments of cristae were broken. Furthermore, chromatin formed many dense zones. More vacuoles with irregular shapes and blank spaces were observed (or occurred) in the cytoplasm ( Figure 2E,2F,2G,2H). For H. akashiwo, it was difficult to observe the whole cell in both control groups and treated groups, but differences in the ultrastructure of chloroplasts and nuclei were easy to distinguish. In the control group, the nucleus was intact and had a welldistributed nucleoplasm and a clearly visible nucleolus ( Figure 2I). Additionally, most of the chloroplasts were intact and the structure of lamellae was obvious ( Figure 2J). When exposed to BDE-209, however, the nucleus underwent a slight transformation in that there were some compact spots of dense chromatin ( Figure 2K). The chloroplasts were broken, and the structure of lamellae was indistinct ( Figure 2L).

Microalgal growth in mono-culture with different initial cell desities
The growth curve of K. mikimotoi and H. akashiwo in the monoculture is shown in Figure 3. In the first 7 days, both of the growth with two initial cell densities was slow for K. mikimotoi. Subsequently, cells in the 0.5610 4 cells mL 21 group grew significantly faster than those in the 0.2610 4 cells mL 21 group (P,0.05). It was estimated that the time to enter the exponential growth phase (T EP ), stationary growth phase (T SP ) and the time to reach the inflection point (T P ) were shortened when the cell densities increased. An obvious difference was observed between their individual carrying capability (K, 0.01,P,0.05). At initial cell densities of 0.5610 4 , 0.8610 4 and 3.2610 4 cells mL 21 , H. akashiwo grew slowly in the first 2 days and later entered the exponential phase on the 2nd, 3rd and 4th days, respectively. T SP was shortened and the value of K decreased significantly (P,0.05) as the initial cell density increased. mikimotoi was depressed compared with their respective control groups and that of K. mikimotoi was relatively slower when the initial biomass ratio was equal to H:K = 4:1. For H. akashiwo, the population growth was obviously suppressed relative to the control (P,0.01), and the K value was about 50.23% of that in the monoculture. The growth regression equation for H. akashiwo in the coculture was estimated as N = 30.6690/(1+e 3.4152-0.5909t ) (R 2 = 0.9265). For K. mikimotoi, the growth was significantly inhibited, and the K value was only 6.9% of that in the control group (P,0.05). No visible exponential phase was observed throughout the experiment (Figure 4).
A similar result was obtained in the co-culture when the initial inoculation ratio changed to 1:1. H. akashiwo grew faster and entered the exponential phase more rapidly than K. mikimotoi ( Figure 4). The values of both T SP and T P decreased while the maximum growth rate (r) increased for two species of microalgae. As to H. akashiwo, the K value declined to 27.84% of that in the control group (P,0.01) and the growth regression equation of was estimated to be N = 25.0804/(1+e 3.0727-0.4810t ) (R 2 = 0.9776). For K. mikimotoi, the K value was only 20.26% of that in the control, and a significant difference was observed between that in the coculture and in the control (P,0.01). The growth regression equation for K. mikimotoi was estimated to be N = 11.4439/ (1+e 4.0283-0.3520t ) (R 2 = 0.9673).
When the initial biomass ratio was H:K = 1:4, significant growth suppression occurred for both H. akashiwo and K. mikimotoi in the co-culture relative to their respective control groups (P,0.01). Additionally, the growth inhibition of H. akashiwo seemed more severe than that of K. mikimotoi ( Figure 4) and could not be simulated by the logistic growth model equation (R 2 = 0.2395). It seemed that K. mikimotoi had the competitive advantage. The growth regression equation of K. mikimotoi was estimated to be N = 23.0079/(1+e 5.3541-0.5203t ) (R 2 = 0.9717).

4.2.
Inter-specific competition with BDE-209 exposure. The two microalgal species behaved differently when the initial biomass ratio was H:K = 4:1 under low (1.8 mg L 21 ) and high (18 mg L 21 ) BDE-209 exposure. Throughout the Effects of BDE-209 on Marine Microalgae PLOS ONE | www.plosone.org experiment, the population growth of K. mikimotoi was strongly suppressed, and no obvious exponential or stationary phases were observed in the three K. mikimotoi groups. In the case of H. akashiwo, several parameters differed among the control, low toxicity, and high toxicity groups. For instance, the K value increased from 30.6690610 4 cells mL 21 (control group) to 36.5252610 4 cells mL 21 (low toxicity group, 0.01,P,0.05) and 46.0042610 4 cells mL 21 (high toxicity group, 0.01,P,0.05) and so did the T p value. Conversely, the r value decreased. The growth regression equation was estimated to be N = 36.5252/(1+e 2.1613-0.3494t ) (R 2 = 0.9107) in the low toxicity group and N = 46.0042/(1+e 1.6176-0.2164t ) (R 2 = 0.9503) in the high toxicity group. However, the K value of H. akashiwo was not significantly different at the P,0.05 level between the low and high toxicity groups. Meanwhile, H. akashiwo appeared to take the competitive advantage in both treated groups and the control group ( Figure 5A). The result of the inter-specific competition changed when the initial biomass proportion was altered to H:K = 1:1. For K. mikimotoi, the significance of K value was observed (0.01,P,0.05) between the low toxicity and control groups, but the K value of the high toxicity group was not significantly different from the control at the P,0.05 level. The growth regression equation of the low toxicity group was estimated to be N = 13.2915/(1+e 5.0395-0.4598t ) (R 2 = 0.9520) while the simulated growth regression equation of the high toxicity group was N = 12.4799/(1+e 3.7775-0.3233t ) (R 2 = 0.9505). For H. akashiwo, no obvious difference was observed between the treated and control groups, and the K and r values in the low and high toxicity groups were not significantly different from the corresponding control groups at the P,0.05 level. The growth regression equation was estimated to be N = 28.7673/ (1+e 3.6140-0.3964t ) (R 2 = 0.9897) in the low toxicity group and N = 29.3092/(1+e 3.2286-0.4247t ) (R 2 = 0.9556) in the high toxicity group ( Figure 5B). Moreover, a paired t-test showed that both the microalgal K values were not significantly different between the low and high toxicity groups at the P,0.05 level.
When the initial biomass ratio was changed to H:K = 1:4, the competitive result could not reflect with simply relying on Figure 5C. In the low toxicity group, the K value had the

Discussion
The results showed that BDE-209 had toxic effects on H. akashiwo and K. mikimotoi. The relative growth rates of both species decreased steadily with increasing concentrations of BDE-209, additionally H. akashiwo seemed to be more sensitive. This result was quite different from some previous reports, which demon-strated that PBDEs, especially higher brominated congeners such as deca-BDEs, had little toxic effect on microalgae [17,47]. Another previous report [21] showed that some higher brominated congeners like BDE-209 were less toxic than the lower brominated congeners (e.g., . It was suggested that the less toxicity of BDE-209 was likely due to its high molecular weight or size, which may result in its inefficient uptake by organisms. Therefore, it had been claimed that BDE-209 had no ecotoxicological importance because of this assumed negligible bioavail-  ability [48]. However, this issue has recently been of interest because deca-BDEs have been detected at high concentrations in abiotic environmental samples [49] as the major commercial PBDEs product [50]. Moreover, analyses of organisms from both the Atlantic Ocean and the more polluted Baltic Sea have shown the presence of BDE-209 and have inferred its toxicity not to be negligible [51].
On the other hand, some malformations of ultrastructure, exhibited in microalgae upon exposure to BDE-209, have been observed under many stress conditions including metal toxicity [52], acidity [53] and ions deficiency [54]. Results showed that the main microalgal ultrastructure changes were located in the chloroplasts and nucleus. A normal shape, unbroken membrane, ordered arrangement of grana and stroma thylakoids, and intact lamellar structure are related to the function of the chloroplast. Therefore, ultrastructural alterations in chloroplasts can cause a decline in photosynthesis [55,56], as well as the life activities of a cell. As to the homogenous distribution of chromatin, it was observed in treated groups that chromatin formed many dense zones. Simultaneously the nuclear membrane was wrinkled. It is well known that the nucleus regulates life activities such as growth, reproduction, metabolism and protein synthesis in plant cells by genetic materials. Once the nuclear structure is damaged, the cellular physiology is disordered. Additionally, according to the pictures from the TEM, BDE-209 was more toxic to H. akashiwo while both its chloroplast and nucleus were clearly more badly damaged. This finding is in accordance with the result of the acute toxicity test. One possible explanation for this phenomenon is that their external structures of the cell are different. H. akashiwo lacks a cell wall, and therefore, the cell plasma was directly exposed to the pollutant's stress, which might have ultimately resulted in a more severe impact to the growth of this species. Though K. mikimotoi has no cell wall, epitheca plays an important role in ameliorating the effect of BDE-209. Collectively, the results of the acute toxicity test and the TEM data provide evidence of the potentially toxic effects of BDE-209 on marine microalgae.
The growth of both H. akashiwo and K. mikimotoi with different initial cell densities in the mono-culture was well described by the logistic equation; the Table 3 showed the summarized value of the parameters: K, R 2 , r, T P , T EP and T SP . Both species in the monocultures showed similarities at different initial cell densities: K value decreased with increasing initial cell densities whereas the value of r increased, and T P , T EP and T SP were all shortened. It was inferred that the growth of both microalgal species was densitydependent, which is similar to previous reports [57,58,59,60]. One possible reason for this observation is that at different initial densities, the population utilized resources at different rates and the growth was thereby affected.
When the two species of microalgae were grown in co-culture without BDE-209 exposure, significant growth suppression occurred to either H. akashiwo (H) or K. mikimotoi (K) at initial biomass ratios of H:K = 4:1, 1:1 and 1:4 as compared to their respective mono-culture control groups (P,0.01). Their growth could also be described by the logistic equation, and the estimated parameters are summarized in Table 4. It was obvious to see that BDE-209 interferes with population growth for H. akashiwo and K. mikimotoi when these two species were grown in co-culture, and disparate sensitivity was one of the reasons for the different effects.
The interaction between K. mikimotoi and H. akashiwo was simulated by the Lotka-Volterra competition model according to the following formula [61]: In (3) and (4), N, K and r represent the cell density, the cell carrying capacity and the maximum growth rate for both species, respectively. Parameters a and b are nondimensional and indicate the degree of inhibition by H. akashiwo or K. mikimotoi, respectively, when compared with self-interference. The degree of inhibition can be expressed as follows: : H. akashiwo out-competes K. mikimotoi; K K ,K H /b, K H ,K K /a: the two species will co-exist and the balance is stable; K K .K H /b, K H .K K /a: the two species will co-exist but the balance is unstable.
According to the formula of the Lotka-Volterra competition model, the value of a and b were easily calculated and then the competitive results of different initial biomass proportions were obtained with or without BDE-209. These results were similar with the one reported by Uchida [30] who found the competition between Heterocapsa circularisquama and Gymnodinium mikinotoi to be dependent upon the initial cell densities of the two species (Table 5).
It was found that the nutrients, light density and temperature were not limiting factors during the test period; therefore, the competition between the two species revolved around space resources. A great deal of research has focused on the allelopathy between microalgae and other organisms and has proved that both H. akashiwo and K. mikimotoi can produce some bioactive materials, mainly ichthyotoxic and hemolytic compounds, to have ecological relevance as a survival strategy [62,63]. Therefore, we can infer that allelopathic materials secreted by both species likely exist in the competition of bio-algal culture and play a vital role in the composition and succession of the microalgal community.
Many models since the 1980s have attempted to understand the response of plants to allelochemicals [28,64,65]. The allelopathic strength between microalgae and other organisms depends on the microalgal initial cell density, which has been demonstrated [66]. Sinkkonen [67,68] considered that when N plants compete for a certain amount of phytochemicals, an average plant takes up one-Nth part. In the case of H. akashiwo, we regarded the amount of allelopathic exudates from one cell of K. mikimotoi as X 0 in this study, and the total number was 0.2610 4 X 0 , 0.2610 4 X 0 and 0.5610 4 X 0 per mL in co-culture when the ratio was equal to H:K = 4:1, 1:1 and 1:4, respectively. Therefore, one cell of H.   Table 5. BDE-209 at two toxicities (l stands for low toxicity, and h stands for high toxicity) affected some parameters as well as the regression coefficients of K. mikimotoi (K) and H. akashiwo (H) population growth in the co-culture with different initial biomass ratios as obtained by regression analysis. akashiwo suffered from 0.2610 4 X 0 /3.2610 4 (X 0 /16), 0.2610 4 X 0 /0.8610 4 (X 0 /4) and 0.5610 4 X 0 /0.5610 4 (X 0 ) per mL at these three ratios, respectively. Similarly, one cell of K. mikimotoi separately took up 3.2610 4 X 1 /0.2610 4 (16X 1 ), 0.8610 4 X 1 / 0.2610 4 (4X 1 ) and 0.5610 4 X 1 /0.5610 4 (X 1 ) (where X 1 stands for the amount of allelopathic materials secreted by one cell of H. akashiwo). Additionally, many researchers have found that allelopathic substances can stimulate growth at low concentrations but inhibit growth at high concentrations [69]. When the initial biomass ratio was equal to H:K = 4:1, one cell of K. mikimotoi was subject to suppression from 16X 1 of the toxin, and the allelopathic strength was greater than in the groups of H:K = 1:1 and H:K = 1:4 whereas H. akashiwo only took up 1/16 X 0 of the toxin and the allelopathic strength was weaker than in the other two groups. Therefore, the competitive results differed because different initial biomass causes different usage rates of resources, and the population growth rates of the two species are not same when the initial biomass ratios changed without BDE-209 exposure. Meanwhile, allelopathic compounds are concentration dependent with respect to initial cell densities. When BDE-209 was inoculated into the co-culture medium, different groups exhibited different performances. In the coculture with an initial biomass ratio of 4:1, H. akashiwo remained to be in the dominant position. This dominance of H. akashiwo occurred because the growth of K. mikimotoi was inhibited so intensely in all groups that the growth curve could not be fit by the logistic growth model and had no obvious exponential phase. When the group of H:K = 1:1, the competition results changed a lot among three groups. On one hand, it was well known that the value of the coefficients stood for the inhibition between two kinds of microalgae. The a value changed much more with increasing BDE-209 concentration than that of b, which meant that the inhibiting effect of one cell on H. akashiwo declined largely for K. mikimotoi. On the other hand, K. mikimotoi out-competed H. akashiwo in both groups in the absence of the toxin and in groups with low toxicity, but the two species co-existed in groups with high toxicity as seen in a comparison of the values of K K , K H /b, K H and K K /a. Consequently, it was found that the competition gradually shifted in favor of H. akashiwo, which was also demonstrated in the groups where H:K = 1:4. Two possible factors might be implicated in this competition. Firstly, the sensitivities of K. mikimotoi and H. akashiwo to BDE-209 were different, and therefore, the performances of these two species were dissimilar. Secondly, BDE-209 weakened the suppression from K. mikimotoi or heightened the allelopathic strength from H. akashiwo, but the mechanism needs to be further explored (Table 6).
Currently, the actual concentration of BDE-209 was shown from ,1 to 2 pg L 21 in the seawater of East Greenland Sea, North Sea and the Atlantic and Southern Ocean based on some reports [70,71,72]. However, it was reported that the high end of global BDE-209 concentrations were 335-65200 pg L 21 in the Pearl River Delta, China, and higher than concentrations used in this study. Hence, the microalgae may have been subjected to the negative effects brought by BDE-209 in this region. Harmful algal blooms (HABs) are a kind of marine phenomena that one or some species of phytoplankton proliferate and accumulate rapidly in the global scale that cause some negative impacts. There are many factors that may contribute to HABs, of which eutrophication plays a crucial role [73]. The large-scale initiation of HABs along the open coasts usually related to the nutrients from upwelling or advecting water masses, while the anthropogenic nutrients could be a dominate factor in estuaries, embayments or nearshore coasts where HABs originate [74]. It was also found that HABs have occurred constantly in Pearl River Delta for several years, therefore it will be meaningful to find out the relevance between persistent organic pollutions (POPs) and HABs. This study may be considered as the groundwork to provide some theoretical help.

Conclusions
Results of the research work showed that BDE-209 did have negative impacts on the population growth and change the ultrastructures for H. akashiwo and K. mikimotoi. Moreover, BDE-209 broke the competitive balance to make competition gradually shift in favor of H. akashiwo based on the Lotka-Volterra competition model. We suggest that a quicker and better understanding of BDE-209 toxicity should be established which is helpful for the purpose of the reasonable use and disposal of electronics. Table 6. BDE-209 exposure affected parameters a and b simulated by the Lotka-Volterra competition model and the competitive results in the co-culture K. mikimotoi (K) and H. akashiwo (H) with different initial biomass ratios.