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Test flattening in the larger foraminifer Heterostegina depressa: predicting bathymetry from axial sections

Published online by Cambridge University Press:  24 January 2018

Wolfgang Eder
Affiliation:
Department of Palaeontology, University of Vienna, Althanstrasse 14, 1090 Vienna, Austria. E-mail: wolfgang.eder@univie.ac.at, johann.hohenegger@univie.ac.at
Johann Hohenegger
Affiliation:
Department of Palaeontology, University of Vienna, Althanstrasse 14, 1090 Vienna, Austria. E-mail: wolfgang.eder@univie.ac.at, johann.hohenegger@univie.ac.at
Antonino Briguglio
Affiliation:
DI.S.T.A.V. - Dipartimento di Scienze della Terra, dell’Ambiente e della Vita Università degli Studi di Genova Corso Europa, 26 I - 16132 Genova, Italy. E-mail: antonino.briguglio@unige.it

Abstract

Previous attempts to quantify the test-flattening trend in Heterostegina depressa with water depth have been rather unsuccessful. Due to its broad depth distribution, H. depressa is a perfect model species to calibrate test flattening as a bathymetric signal for fossil assemblages. This might enable us to better reconstruct paleoenvironments of fossil communities of larger foraminifera or even provide clues to the degree of transport in allochthonous deposits. In this study, we used growth-independent functions to describe the change of test thickness throughout ontogeny. Four growth-invariant characters, deriving from these functions, clearly quantify a transition of individuals with thicker to thinner central parts along the water-depth gradient. This transition is probably controlled by light intensity, because the photosymbionts of H. depressa (diatoms) are most effective at low irradiation levels. Thus, specimens at shallower depths grow thicker to reduce light penetration, whereas specimens living deeper than the light optimum increase their surface by flattening to obtain better exposure to light.

Information

Type
Articles
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
Copyright © 2018 The Paleontological Society. All rights reserved
Figure 0

Figure 1 Illustration of the sampling area, Sesoko-Jima, Okinawa, Japan. The Northern and Southern transects as described by Hohenegger et al. (1999) are indicated as A and B, respectively.

Figure 1

Figure 2 H. depressa in axial view. Measurements of mediolateral thickness (MlTh) are indicated in blue; total thickness (Th) in green; and corresponding radii in red.

Figure 2

Figure 3 The two growth functions for a single specimen of H. depressa from each water-depth interval are shown. The mediolateral thickness is indicated in blue, with thickness in green. Filled dots represent the measurements depicted in Fig. 1. The corresponding functions of MlTh and Th are given along with their coefficient of determination R2.

Figure 3

Figure 4 A, The growth function for mediolateral thickness (blue) and for thickness (green) plotted over an axial section. The unidimensional growth-invariant characters ThMR3, MRmax, and MaxMlTh are depicted in red. B, Schematic illustration of the axial shape of H. depressa, consisting of a combination of two different ellipses. The intersection point of MRmax and MaxMlTh projected onto the test surface indicates the onset point of test flattening. This is described by the ratio of MRmax to MaxMlTh, herein called F.

Figure 4

Table 1 Summary table for the morphometric characters: sample size n, mean x̅j, SE, minimum (Min.) and maximum (Max.) for the characters MRmax, MaxMlTh, and ThMR3, and F for every water depth j.

Figure 5

Table 2 Correlation tables for water depth, growth-invariant characters, and proloculus size P. Note the nonsignificant correlation between the characters and proloculus size after water depth was partialized. Degrees of freedom=127 for all Pearson's r values; degrees of freedom=124 for all partial correlation values. Corr., correlation coefficient. Underlining indicate p<0.05.

Figure 6

Table 3 The results of the nonparametric multiple comparison as triangular matrices. The upper triangle gives the significance (underlined: q<q(0.05,8)), and the lower triangle shows the acceptance of H0 (sample median is the same). Rejection of H0 is indicated in bold. Numbers above columns are the water-depth intervals in meters. See text for a discussion of Nemenyi tests.

Figure 7

Figure 5 Regression lines between MRmax and MaxMlTh following y=kx (running through the origin), manifesting the correct use of the flattening ratio F for every investigated water depth.

Figure 8

Table 4 Linear regression between MRmax and MaxMlTh at water-depth interval j. Slope k of the regression line, the correlation coefficient R, and its probability p for the linear regression are given. R is the Pearson’s correlation coefficient for the goodness of fit between the observed and estimated values.

Figure 9

Figure 6 The mean and standard error of the growth-invariant characters plotted against water depth (left ordinate) and light intensity (right ordinate). A, Marginal radius at the maximal mediolateral thickness (MRmax); B, maximal mediolateral thickness (MaxMlTh); C, thickness at MR=3000 µm (ThMR3); D, flattening ratio F.

Figure 10

Figure 7 Maximal mediolateral thickness and flattening ratio are plotted against sediment proportion of the corresponding transects (Hohenegger 2004). Note the relatively constant values in the reef-dominated environments.