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Numerical analysis : The similarity between the atolls and the relationships between the type of atoll and the fish population.

 M. Claereboudt, P. Dufour

 

 

Here again, the results obtained with the MDS method (Fig. 8) were similar to those of the PCA (Fig.9, B): on the one hand we have  Reka Reka, the smallest lagoon, and on the other hand, Kauehi, the largest of the lagoons on which the variables relating to the fish were collected. Taiaro, the most enclosed atoll, is set apart from the others.

Fig 8

Fig. 8 - Multi Dimensional Scaling of the atolls in terms of their fish.

AM = Amanu, HA = Haraiki, HI = Hiti, HK = Hikueru, KA = Kauehi, MA = Marokau, NI = Nihiru, OC = ocean, RR = RekaReka, TA = Taiaro, TE = Tekokota, TI = Tikehau, TK = Takapoto, TS = Tepoto Sud, TU = Tuanake. 

 

Fiig 9

Fig. 9 - Principal components analysis of 10 atolls, 4 forced variables and 6 trophic categories of fish. A) correlations between the variables in the space of the two main components. The circle shows balanced contributions, which correspond to the hypothetical case where the total variability of the IVs and FVs is randomly associated with the two main components. The variables which extend beyond the circle of  balanced  contributions therefore make large contributions to the first two main axes. Here we must look at the angle between these two descriptors and the angles they form with the main axes. The more obtuse each of these angles is, the closer the correlation will be, and right angles indicate a complete lack of dependence. B) Position of the atolls in the system of reduced axes.

AM = Amanu, HA = Haraiki, HI = Hiti, HK = Hikueru, KA = Kauehi, MA = Marokau, NI = Nihiru, OC = ocean, RR = RekaReka, TA = Taiaro, TE = Tekokota, TI = Tikehau, TK = Takapoto, TS = Tepoto Sud, TU = Tuanake.

 

  • Herbivorous, piscivorous, planktonophagic and carnivorous fish were all found to be associated with the area of the atolls, as was the total biomass of the fish (Fig. 7A). This is quite a logical finding, since these four trophic categories account for 82 to 99% of the total biomass in question. Coral-eaters were more closely associated with the log of the porosity (Fig. 9A), as was the abundance of the coral (Fig. 7A).

  • The above findings can be summarised as follows:

  • The more widely open the atolls are to the surrounding ocean, the more abundant the coral and the corallivorous fish will be in their lagoons (Figs. 7A et 9A).

  • The larger the lagoons are, the greater the biomass of the macrophytes and the herbivorous fish they contain will be (Figs. 7A et 9A).

  • The larger the lagoons are, the greater the biomass of the fish and the piscivorous fish they contain will be (Figs. 7A et 9A).

 

 

References :

Dufour P. and M. Harmelin-Vivien (1997). A research program for a typology of atoll lagoons: strategy and first results. Proc. 8th Int. Coral Reefs Symp. Panama, H.A. Lessios (ed.), Allen Press, N.Y., 1: 843-848.

Dufour P., Andréfouët S, Charpy L., Garcia N. (2001) Atolls morphometry controls nutrient regime in their lagoons. Limnology and Oceanography 46 (2): 456-461

 

update : 07/10/08

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