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Biol. Bull. 201: 1-5. (August 2001)
© 2001 Marine Biological Laboratory

Metabolism of Pelagic Cephalopods as a Function of Habitat Depth: A Reanalysis Using Phylogenetically Independent Contrasts

Brad A. Seibel1,* and David B. Carlini2

1 Monterey Bay Aquarium Research Institute, 7700 Sandholdt Road, Moss Landing, California 95039
2 Department of Biology, 101 Hurst Hall, American University, 4400 Massachusetts Avenue, NW, Washington, DC 20016-8007

* To whom correspondence should be addressed. E-mail: bseibel{at}mbari.org

Metabolic rates of deep-living animals have been intensely studied (1). Within pelagic fishes, crustaceans, and cephalopods, a strong decline in rates of mass-specific metabolism with depth has been observed. Childress and Mickel (2) put forward the visual interactions hypothesis to explain this general pattern. Their hypothesis states that reduced metabolic rates among many deep-sea pelagic taxonomic groups result from relaxed selection for strong locomotory abilities for visual predator-prey interactions in the light-limited deep sea. This pattern has, however, been tested using mean metabolic rates for species as individual data points. Felsenstein (3) warned that, because species are descended in a hierarchical fashion from common ancestors, they generally cannot be considered as independent data points in statistical analyses. Statistical methods have recently been developed that incorporate phylogenetic information into comparative studies to create phylogenetically independent values that can then be used in statistical analyses. Reliable independent phylogenetic information has only recently become available for some deep-sea organisms. The present contribution reanalyzed the metabolic rates (4,5) of pelagic cephalopods as a function of, for consistency with previous studies, MDO (minimum depth of occurrence) using phylogenetic independent contrasts derived from a recent molecular phylogeny (6). This analysis confirms the existence of a significant negative relationship between metabolism and minimum habitat depth in pelagic cephalopods but suggests that phylogenetic history also has considerable influence on the metabolic rates of individual species.

Childress (1) argued against a phylogenetic basis for the observed relationships between metabolism and depth. He based the argument on the identification of convergence of metabolic rates at a given depth among distantly related taxa (fishes, crustaceans, cephalopods) as well as divergence within closely related groups as a function of depth. This pattern strongly suggests that species experience similar selective regimes at any given depth and that rates of metabolism are evolved in response to that selection. Seibel et al. (5) further argued, on the basis of an analysis of higher nodes, that most of the variation in metabolic rates among cephalopods is between families within an order, as opposed to between genera within a family or species within a genus. Therefore, families are more appropriate units for comparison. A decline in metabolic rates with increasing habitat depth was also observed when families were used as independent data points (5). Nevertheless, the degrees of freedom used for statistical analyses in these studies are elevated, to varying degrees, due to phylogenetic non-independence of the data.

Felsenstein (3) proposed computing weighted differences ("contrasts") between the character values of pairs of sister species nodes, or both, as indicated by phylogenetic topology, thereby estimating an ancestral character value (e.g., the ancestral states of log-transformed depth and metabolic data presented in Fig. 1). Insofar as the ancestral nodes are correctly determined, each of these contrasts is independent of the others in terms of the evolutionary changes that have occurred to produce differences between the two members of a single contrast (7). Felsenstein’s (3) method requires knowledge of the cladistic relationships between the species being analyzed. Several studies have attempted to construct phylogenies for cephalopods. However, only a single reliable family-level phylogeny exists that includes deep-water fauna. One previous phylogenetic analysis relied exclusively on morphological characters that are associated with buoyancy and locomotion and are thus confounded with metabolism and depth (8). We therefore felt that analysis was unsuitable for use in the present study. Other analyses have been unable to obtain sufficient resolution for familial relationships (9) or have included only shallow-living taxa (10,11). Carlini and Graves (6) recently analyzed the higher level phylogenetic relationships of extant cephalopods by using a 657-bp sequence of the mitochondrial cytochrome c oxidase (COI) gene. The molecular sequence data from Carlini and Graves (6) provide an opportunity to test the visual interactions hypothesis directly, using a more valid statistical approach. An additional analysis based on actin gene sequences (12) was not included, primarily because there was very little overlap between taxa for which actin gene sequences were available and those for which metabolic data are available. Furthermore, the actin study provides a more accurate reconstruction of gene family evolution within the cephalopods than of specific relationships among taxa.



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Figure 1. Phylogenetic trees used for calculating independent contrasts on metabolic rate data. Log-transformed minimum depth of occurrence (MDO) and metabolic rates, in that order, are shown to the right of taxon names. Ancestral states of log-transformed MDO and metabolic rate data (i.e., weighted differences or "contrasts," see text), calculated using the CAIC software application (18), are also shown at the internal nodes. (A) A 21-taxa tree for which both COI sequences and metabolic rate data are available. Branch lengths (molecular clock enforced) were calculated from the strict consensus of two most-parsimonious trees (Tree Length = 1432 steps; Consistency Index = 0.348; Retention Index = 0.334) derived from parsimony analysis of the COI data in PAUP* (28). (B) Partially resolved 39-taxa tree representing relationships between all pelagic taxa for which metabolic rate data are available. The conservative tree topology is based on a consensus of molecular and morphological evidence. In this case, branch lengths are unknown and a punctuated model of change was assumed; that is, all branches are of equal length. For example, the ancestral character state for log-transformed metabolic rate for the Cranchia-Liocranchia node, assuming a punctuated model of change, is calculated assuming a branch length equal to one and taking an average of the two species (-0.43 + -0.57/2 = -0.50, corresponding to a calculated ancestral oxygen consumption rate of 0.61 µm O2 g-1h-1). Determination of ancestral character states, assuming a gradual model of change, requires calculation of branch length using the CAIC software.

 
The phylogenetic trees presented here from which the independent contrasts were calculated include only those species for which metabolic data are available. Similar trees were constructed including species for which enzymatic data are available. Although it may have been preferable to "prune" the complete COI tree rather than reconstruct trees using only taxa for which metabolic data are available, we decided to calculate new trees so that we could include taxa for which COI sequences were obtained after the publication of the COI paper (6). The species we added were Amphitretus pelagicus, Helicocranchia pfefferi, and Japetella heathi. Pruning the tree would have had only a small effect on the values of the standardized contrasts and would not have significantly altered our conclusions.

A second requirement of Felsenstein’s (3) method is knowledge of branch lengths in units of expected variance of change. Ideally, branch lengths should represent expected units of evolutionary change (gradual model). For this approach to be valid, independent contrasts must be adequately standardized so that they will receive equal weighting in subsequent regression analyses. We plotted the absolute value of each standardized independent contrast, generated from the fully resolved tree (Fig. 1a), versus its standard deviation (7) and found no relationship between the two variates (data not shown). Thus, the contrasts were adequately standardized and properly weighted in regression analysis.

However, even if a particular phylogenetic tree is well resolved and well supported, branch lengths are always estimates and are thus subject to error. A less optimal approach, but one that involves fewer assumptions about the evolutionary relationships of the taxa in question, is to assume that every branch in the phylogeny is the same length (punctuated model). The advantage of this approach is that it can be used for poorly resolved trees or for data sets where branch lengths cannot be estimated, such as those derived from both molecular (6) and morphological (13,14) data. This allows more contrasts to be performed, increasing the power of subsequent statistical tests. On the other hand, the punctuated model is unrealistic for most data sets, as there is likely to be significant heterogeneity with respect to the evolutionary rates of the taxa under study. In any case, use of a punctuated model is far superior to any method that treats species values as independent data points.

In the present study we employed both gradual and punctuated models in constructing trees for comparison. The gradual model tree is depicted in Figure 1a (21 taxa, metabolic rates as a function of MDO). A similar tree was constructed including species for which enzymatic data are available (not shown, 18 taxa, enzymatic activities as a function of MDO). A tree constructed using the punctuated model for contrasts involving all taxa for which data are available is depicted in Figure 1b (39 taxa, metabolic rates versus MDO). A similar tree was constructed including species for which enzymatic data are available (not shown, 32 taxa, enzymatic activities versus MDO).

Independent contrasts for log-transformed, normalized mean oxygen consumption rates (4,1518) were produced, for both gradual and punctuated models, using CAIC v. 2.0.0 (19), and were regressed against those produced for MDO (Fig. 2, Table 1). We produced similar regressions for contrasts of activities of citrate synthase (CS) and octopine dehydrogenase (ODH) (5,2022), indicators of aerobic and anaerobic metabolic potential, respectively (Table 1). We tested the validity of log transformation by using a method suggested by Purvis and Rambaut (19), authors of the CAIC package. Regressions of the absolute values of the contrasts on the estimated nodal values were performed, and none had slopes significantly different from zero. We also performed regressions of the absolute values of the contrasts against the standard deviations of the contrasts and detected no relationship in any case. These two tests ensure that we did not violate any of the assumptions of Felsenstein’s (3) model of evolution of continuous characters as a random walk process.



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Figure 2. Standardized contrasts of log-transformed oxygen consumption data plotted as a function of standardized contrasts of log-transformed minimum depth of occurrence calculated from the 39-taxon tree (Fig. 1b; punctuated model). Contrasts for the three sister-species groupings within the cranchiid family (Cranchia-Liocranchia; Leachia dislocata-L. pacifica; Galliteuthis-Megalocranchia; Fig. 1b) are indicated with open symbols and are included in the plotted regression. The slope of the regression is significant (P < 0.01). See Table 1 and text for equation and related statistics.

 

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TABLE 1 Metabolism of pelagic cephalopods as a function of habitat depth

 
Relationships between contrasts of metabolism and depth are summarized in Table 1. A significant decline in oxygen consumption rate with habitat depth was observed when all taxa were included and a punctuated model was assumed (Fig. 2: y = -0.36x - 0.02, P = 0.01). A similar relationship was observed using the gradual model (y = -0.59x - 0.049, P = 0.03), but only when the Cranchia versus Liocranchia contrast was excluded (see below). CS and ODH activities were weakly correlated with habitat depth when a gradual model was assumed, even with the Cranchia versus Liocranchia contrast excluded from analysis (Table 1; CS, y = -1.01x + 0.46, P = 0.06; ODH, y = -1.26x - 0.22, P = 0.099). Contrasts performed using the punctuated model for the CS and ODH data indicated a significant negative relationship between enzymatic activity and habitat depth with the Cranchia versus Liocranchia contrast excluded from analysis (Table 1; CS, y = -0.64x + 0.08, P = 0.01; ODH, y = -1.02x - 0.04, P = 0.005).

Although these results suggest a negative trend in metabolism with increasing depth independent of phylogeny, there are clearly phylogenetic influences on the data. For example, members of the family Cranchiidae (including Cranchia and Liocranchia, the contrast excluded from several of the analyses) have low metabolic rates regardless of habitat depth. The Cranchiidae is a very diverse family, and our data set is slightly biased toward cranchiid species (n = 7 out of 39, MO2, punctuated model, Fig. 1b). Although many cranchiid species undergo ontogenetic vertical migrations in which successive developmental stages occupy progressively greater depths (12,23), some species appear to remain near the surface until sexual maturity (24,25). Seibel et al. (4) argued that the use of transparency (26) by the cranchiids reduces detection distances (27) at all depths and therefore allows them to employ sit-and-wait predation strategies, facilitating low metabolic rates, even in well-lit epipelagic waters. With the Cranchia-Liocranchia contrast removed, we consistently observed a much stronger relationship between metabolism and habitat depth. Several sources of depth-related variation in metabolism, such as buoyancy and body mass, exist in addition to phylogeny. These have been discussed elsewhere (4,5).


    Footnotes
 
Received 29 August 2000; accepted 12 April 2001.


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