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Developmental plasticity in deep time: a window to population ecological inference

Published online by Cambridge University Press:  04 August 2022

Anieke Brombacher*
Affiliation:
School of Ocean & Earth Science, University of Southampton, Waterfront Campus, National Oceanography Centre, Southampton SO14 3ZH, U.K. E-mail: Anieke.Brombacher@soton.ac.uk, T.Ezard@soton.ac.uk
Daniela N. Schmidt
Affiliation:
School of Earth Sciences and Cabot Institute, University of Bristol, Bristol BS8 1RJ, U.K. E-mail: D.Schmidt@bristol.ac.uk
Thomas H. G. Ezard
Affiliation:
School of Ocean & Earth Science, University of Southampton, Waterfront Campus, National Oceanography Centre, Southampton SO14 3ZH, U.K. E-mail: Anieke.Brombacher@soton.ac.uk, T.Ezard@soton.ac.uk
*
*Corresponding author.

Abstract

Developmental plasticity, where traits change state in response to environmental cues, is well studied in modern populations. It is also suspected to play a role in macroevolutionary dynamics, but due to a lack of long-term records, the frequency of plasticity-led evolution in deep time remains unknown. Populations are dynamic entities, yet their representation in the fossil record is a static snapshot of often isolated individuals. Here, we apply for the first time contemporary integral projection models (IPMs) to fossil data to link individual development with expected population variation. IPMs describe the effects of individual growth in discrete steps on long-term population dynamics. We parameterize the models using modern and fossil data of the planktonic foraminifer Trilobatus sacculifer. Foraminifera grow by adding chambers in discrete stages and die at reproduction, making them excellent case studies for IPMs. Our results predict that somatic growth rates have almost twice as much influence on population dynamics than survival and more than eight times more influence than reproduction, suggesting that selection would primarily target somatic growth as the major determinant of fitness. As numerous paleobiological systems record growth rate increments in single genetic individuals and imaging technologies are increasingly available, our results open up the possibility of evidence-based inference of developmental plasticity spanning macroevolutionary dynamics. Given the centrality of ecology in paleobiological thinking, our model is one approach to help bridge eco-evolutionary scales while directing attention toward the most relevant life-history traits to measure.

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 (https://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 © The Author(s), 2022. Published by Cambridge University Press on behalf of The Paleontological Society
Figure 0

Figure 1. Trilobatus sacculifer internal structure. Every colored chamber represents a single step in the ontogeny.

Figure 1

Figure 2. Survival (A), probability of reproduction (B), and size at stage t + 1 (C) data and model results from statistical fits to the relationships that feed into the integral projection model kernel. See Table 1 for coefficients.

Figure 2

Table 1. Values fit to parameters stated in the vital rate expressions (eqs. 2–4) with descriptions of their interpretation.

Figure 3

Figure 3. Matrix visualization of the integral projection model kernel (A) and the right and left eigenvectors corresponding to the stable stage distribution (SSD) and reproductive value (RV), respectively (B). White areas in A are not accessed by the projected life cycle; grays and blacks indicate the proportions (on an ln scale) of individuals across the life cycle in each stage. The main developmental track is the gray band from top left to bottom right as individuals grow through successive discrete stages. The almost-black peak in the top right corner represents fertility—the transition from the largest stages (at one end of life) to the smallest stages in the next generation. Isolines represent values of the kernel K.

Figure 4

Figure 4. Elasticity represents the influence of each parameter on the long-term population growth rate in a deterministic environment λ1. The three bars within each color indicate lower-level parameters in the order of Table 1 as used to define the aggregated demographic rates.

Figure 5

Figure 5. Increasing the extent of developmental plasticity by increasing g2, the standard deviation in growth, and g3, the variance exponential, would be adaptive in the sense of increasing λ1. The black contours represent different projections for λ1 holding ζ as listed in Table 1.