Abstract
In the ecological stoichiometry theory of population dynamics, ontogenetic changes in nutrient demand have been ignored. Here, I studied a stage-structured Daphnia–algae herbivore–autotroph model, in which the juveniles of the herbivore had a higher nutrient (phosphorous) demand for maturation than the adults for reproduction. The model predicted that while an increase in the juvenile nutrient demand (i.e., ontogenetic stoichiometric bottleneck) affects stage-specific performances in complex ways through nutrient dynamics and resource quality, in general it has stabilizing effects on the population dynamics.
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Acknowledgments
Satoshi Kato and anonymous reviewers provided helpful comments on this manuscript. This research was supported by a Japan Society for the Promotion of Science Research Fellowship for Young Scientists (2103033) and Excellent Young Researchers Overseas Visit Program.
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Appendices
Appendix 1
In this Appendix, I present some results with different parameter settings to test the robustness of the stabilizing effects of OSB. I examined the steady state of the system along a nutrient gradient N T for different levels of the juvenile nutrient demand q J (as in Fig. 1) by varying one parameter value and keeping the other parameters to the default values (see text). As examples, here I varied light-induced carrying capacity K (~1.5), herbivore mortality rate μ (~0.05), dilution rate d (~0.05), stage-specific resource availability ratio α (~2) or birth-to-maturity body mass ratio z (~0.05). In any case, I found that an increase in q J significantly stabilized the system (i.e., the bifurcation boundary shifted upward and the parameter region for stable coexistence increased). I also obtained qualitatively the same results when other parameter values were varied (results not shown). Therefore, it seems that the stabilizing effects of OSB are robust within the biologically meaningful parameter space. Notation is identical to that in Fig. 1.
Appendix 2
Here, I show that the stabilizing effects of OSB would be qualitatively robust regardless of which stage has a higher nutrient demand. I examined the steady state of the system along a nutrient gradient N T for different sets of (q J, q A) including situations where the adults had a higher P demand than the juveniles. I found that an increase in either q J or q A stabilized the system (i.e., the bifurcation boundary shifted upward and the parameter region for stable coexistence increased). The stabilizing effects of increasing q J (or q A) were larger when q A (or q J) was small. Panels are arranged along q J (column) and q A (row) (q h = 0.01, 0.015, 0.02 or 0.03). Notation is identical to that in Fig. 1.
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Nakazawa, T. The ontogenetic stoichiometric bottleneck stabilizes herbivore–autotroph dynamics. Ecol Res 26, 209–216 (2011). https://doi.org/10.1007/s11284-010-0752-9
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DOI: https://doi.org/10.1007/s11284-010-0752-9