(a) Effect of plant thermal niche width wP on the ss, singular strategy thermal trait values for the plant and herbivore. If the herbivore is not in the system, the singular strategy ss plant thermal trait zP is always to match the temperature of the environment T (dashed line). For uncorrelated traits, thermal traits zP = zH = T for all values of plant thermal niche width wP (interaction traits sP and sH depend on initial conditions). For correlated traits (sP = zP and sH = zH) and high values of plant thermal niche width wP, there exists both a high-trait value singular strategy ss and a low-trait value ss for both the herbivore (solid line) and plant (dotted line). Parameters are: T = 10, wH = 8 and σ = 3. (b–d) Trait values and temperature through time in a warming environment for different values of plant thermal niche width wP for correlated traits: (b) wP = 20 high ss, (c) wP = 10 and (d) wP = 20 low ss. The large dashed line is temperature, plant trait without the herbivore is the small dashed line, herbivore trait is the solid line, plant trait with the herbivore is the dotted line. Parameters are σ = 3, wH = 8, ΔT = 4, μ = 10−1 and time interval t = 104. (Online version in colour.)