Acknowledgments
We thank N. Hamm and R. L. Johnson for managing the experimental ponds, L. R. Schaffner for helping with lab and field works and M. Kyle for discussion. This project was supported by the Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for Scientific Research (KAKENHI) 15H02642 to J.U., M.Y., I.K., H.D. and T.Y., 16H02522 and 20H03315 to J.U., and 16K18618, 16H04846, and 18H02509 to M.Y.
References
Agrawal, A.A. & Fishbein, M. (2006). Plant defense syndromes. Ecology, 87, S132-S149.
Carpenter, S.R., Kitchell, J.F. & Hodgson, J.R. (1985). Cascading trophic interactions and lake productivity. BioScience, 35, 634–639.
Cebrian, J. (1989). Patterns in the fate of production in plant communities. The American Naturalist, 154, 449–468.
Cebrian, J., Shurin, J.B., Borer, E.T., Cardinale, B.J., Ngai, J.T., Smith, M.D. & Fagan, W.F. (2009). Producer nutritional quality controls ecosystem trophic structure. Plos ONE, 4, e4929
Coe, M.J., Cumming, D.H., & Phillipson, J. (1976). Biomass and production of large African herbivores in relation to rainfall and primary production. Oecologia, 22, 341-354.
Coley, P.D., Bryant, J.P. & Chapin, F.S. (1985). Resource Availability and Plant Antiherbivore Defense. Science, 230, 895-899.
Fox, J. & Weisberg, S. (2011). An R Companion to Applied Regression [second edition], Sage Publications, Thousand Oaks, CA, USA.
Frost, P.C., Benstead, J.P., Cross, W.F., Hillebrand, H., Larson, J.H., Xenopoulos, M.A. & Yoshida, T. (2006). Threshold elemental ratios of carbon and phosphorus in aquatic consumers. Ecology Letters, 9, 774-779.
Haberman, R. (1977). Mathematical models: population dynamics: mechanical vibrations, population dynamics, and traffic flow. Prentice Hall Inc., New Jersey, USA.
Hairston, N.G., Smith, F.E. & Slobodkin, L.B., (1960). Community Structure, Population Control, and Competition. The American Naturalist, 94, 421–425.
Hairston, Nelson G. Jr. (1987). Diapause as a predator avoidance adaptation. In Predation: Direct and Indirect Impacts on Aquatic Communities , {[eds.] [Kerfoot, W. C. & Sih, A.]}. University Press of New England, Hanover, NE, USA.
Hambright, K. D. (1994). Morphological constraints in the piscivore-planktivore interaction: implications for the trophic cascade hypothesis. Limnology and Oceanography, 39, 897-912.
Hanley, T.C., & La Pierre, K. J. (2015). Trophic Ecology: bottom-up and top-down interactions across aquatic and terrestrial systems. Cambridge University Press, Cambridge, UK.
Karlsson, J., Byström, P., Ask, J., Ask, P., Persson, L. & Jansson, M. (2009). Light limitation of nutrient-poor lake ecosystems. Nature, 460, 506–509.
Kennedy, P. (2008). A guide to econometrics [Sixth edition]. Blackwell Publisher, Malden, MA, USA.
Konno, K. (2016). A general parameterized mathematical food web model that predicts a stable green world in the terrestrial ecosystem. Ecological Monographs, 86, 190–214.
Lampert, W. & Sommer, U. (2007). Limnoecology: the ecology of lakes and streams [Second edition]. Oxford University Press, Oxford, UK.
McCauley, E. & Murdoch, W.W. (1990). Predator-prey dynamics in environments rich and poor in nutrients. Nature, 343, 455-457.
Mooney, K.A., Halitschke, R., Kessler, A. & Agrawal, A.A. (2010). Evolutionary trade-offs in plants mediate the strength of trophic cascades. Science, 327, 1642-1644.
Moulton, L.H. & Zeger, S.L. (1991). Bootstrapping generalized linear models. Computational Statistics & Data Analysis, 11, 56-63.
Oksanen, J., Blanchet, F.G., Friendly, M., Kindt, R., Legendre, P., McGlinn, D., Minchin, P.R., O’Hara, R.B., Simpson, G.L., Solymos, P., Stevens, M.H.H., Szoecs, E. & Wagner, H. (2018). The vegan package, Community ecology package, 10, 631-637.
Pančić, M. & Kiørboe, T. (2018). Phytoplankton defence mechanisms: traits and trade‐offs. Biological Reviews, 93, 1269-1303.
Poelman, E.H., van Loon, J.J. & Dicke, M (2008). Consequences of variation in plant defense for biodiversity at higher trophic levels. Trends in Plant Science, 13, 534-541.
Power, M. (1992). Top‐Down and Bottom-Up Forces in Food Webs: Do Plants Have Primacy. Ecology, 73, 733–746.
R Core Team (2018). R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna.
Sall, J. (1990). Leverage plots for general linear hypotheses. American Statistician, 44, 308–315.
Schindler, D.W. (1974). Eutrophication and Recovery in Experimental Lakes: Implications for Lake Management. Science, 184, 897-899.
Shurin, J.B., Borer, E.T., Seabloom, E.W., Anderson, K., Blanchette, C.A., Broitman, B., Cooper, S.D. & Halpern, B.S. (2002). A cross-ecosystem comparison of the strength of trophic cascades. Ecology Letters. 5, 785–791.
Smith, V.H. & Schindler, D.W. (2009). Eutrophication science: where do we go from here? Trends in Ecology and Evolution, 24, 201–207.
Sterner, R.W. & Elser, J.J. (2002). Ecological stoichiometry: the biology of elements from molecules to the biosphere. Princeton University Press, Princeton, New Jersey, USA.
Urabe, J., Kyle, M., Makino, W., Yoshida, T., Andersen, T. & Elser, J.J. (2002). Reduced light increases herbivore production due to stoichiometric effects of light/nutrient balance. Ecology, 83, 619–627.
Urabe, J., Shimizu, Y. & Yamaguchi, T. (2018). Understanding the stoichiometric limitation of herbivore growth: the importance of feeding and assimilation flexibilities. Ecology Letters, 21, 197–206.
Vanni, M.J., Luecke, C., Kitchell, J.F., Allen, Y., Temte, J. & Magnuson, J.J. (19900. Effects on lower trophic levels of massive fish mortality. Nature, 344, 333-335.
Ward, C., McCann, K. & Rooney, N. (2915). HSS revisited: multi-channel processes mediate trophic control across a productivity gradient. Ecology Letters, 18, 1190–1197.
Wetzel, R.G. & Likens, G.E. (2010). Limnological Analyses [Third edition]. Springer, New York, NY, USA.
Williamson, T.J., Vanni, M.J., González, M.J., Renwick, W.H., Bremigan, M.T. & Conroy, J.D. (2018). The importance of nutrient supply by fish excretion and watershed streams to a eutrophic lake varies with temporal scale over 19 years. Biogeochemistry, 140, 233–253.
Wolfe, G.V., Steinke, M. & Kirst, G.O. (1997). Grazing-activated chemical defence in a unicellular marine alga. Nature, 387, 894-897.
Yamamichi, M., Kazama, T., Tokita, K., Katano, I., Doi, H., Yoshida, T., Hairston, N.G. & Urabe, J. (2018). A shady phytoplankton paradox: when phytoplankton increases under low light. Proceedings of the Royal Society B, 285, 20181067.