Our main conclusion is that a change in approach is needed to determine whether pollen limitation reflects random fluctuations around a pollen-resource equilibrium, an adaptation to stochastic pollination environments, or a chronic syndrome caused by an environmental perturbation.
Physical exergy (Ex) is the maximum amount of work that may be performed theoretically by bringing a resource into equilibrium with its surrounding through a reversible process: {text{Ex}} =Delta H - T_{o}Delta S, (4 where H and S are the enthalpy and entropy, respectively, and T o is the reference temperature, which is usually assumed as the environmental temperature of 298.15 K.
"Equilibrium resource management with altruistic overlapping generations", Journal of Environmental Economics and Management, Vol 70 pp 1-16, 2015.
Based on our analysis, we obtain congestion control laws at links and sources that (i) are linearly stable regardless of the network topology, provided that a bound on round-trip-times is known, (ii) provide a utility proportional fair resource allocation in equilibrium.
Let R ^ a + b be the equilibrium resource concentration when both strains are present and limited by phage.
Let R ^ a and R ^ b be the phage-limited equilibrium resource concentrations for the system with h a alone and h b alone respectively.
To generalise, let R ^ i be the equilibrium resource concentration when all strains h1, h2,.., h i have all established in the system and reached their phage-limited equilibrium density, such that N 1 = N 2 =.. = N i = N ^.
Then by transitivity we have that R ¯ a < R ^ a + b < R ^ b and also R ¯ b < R ^ a + b < R ^ a, meaning that either strain can establish a population at the phage-limited equilibrium resource concentration imposed by the other.
Thus while this lineage established itself in the population, it out competed the other individuals and there would be an increase in shortest-cycle resources, until an equilibrium was reached.
Learning Equilibrium in Resource Selection Games, with Dov Monderer and Moshe Tennenholtz (AAAI 07).
