Biomass-dispersal trade-off and the functional meaning of species diversity

Distribution of species diversity values: A link between classical and quantum mechanics in ecology

“…(6) is analytically equivalent to the ideal gas state equation (IGSE, Eq. (7)) and it was proved, later on (Rodríguez et al, 2013a), that it is a generally valid pattern under SEC due to a general tradeoff between biomass (m e ) and dispersal (I e ) in function of diversity (H) values (B-D TO-H Pianka, 1970) at low H p values to K-strategy at high H p values.…”

“…Our proposal is supported by three main theoretical premises: (1) the analytical equivalence between stationarity in open systems and equilibrium in closed systems (see Montero and Morán, 1992;Rodríguez et al, 2012Rodríguez et al, , 2013aRodríguez et al, ,b, 2015a, (2) the anti-kinetic and therefore anti-thermic effect of species diversity (Margalef, 1963(Margalef, , 1991Odum, 1972;Rodríguez et al, 2013a,b) and, finally, (3) the local effect of entropy reduction by increasing the information amount (see Ayres, 1994;Ayres and Nair, 1984;Brillouin, 1951Brillouin, , 1953Brillouin, , 1956Brissaud, 2005;Gabor, 1964;Gallucci, 1973;Jaynes, 1957a,b, Lewis, 1930Odum, 1969;Rothstein, 1951Rothstein, , 1952Szilard, 1929;Tribus and McIrvine, 1971;Volkenshtein, 1985;Rodríguez et al, 2013bRodríguez et al, , 2015a. Starting from these premises, Rodríguez et al (2012) combined Eqs.…”

“…(7) to (6), see below. Appendix A, Section 1, includes expanded explanations about the characteristics and meaning of I e according to Rodríguez et al (2013a).…”

“…Total eco-kinetic energy per plot was calculated as (Rodríguez et al, 2012(Rodríguez et al, , 2013a(Rodríguez et al, ,b, 2015a:…”

“…Ecologists have considered, for several decades, that species diversity has multiple and remarkable interactions with other concepts as stability (e.g., McNaughton, 1978;Zaret, 1982;Kimmerer, 1984;Tilman et al, 1998;Li and Charnov, 2001;Pfisterer and Schmid, 2002;Ptacnik et al, 2008), habitat perturbation (e.g., Mackey and Currie, 2001;Solé et al, 2004) and trophic energy or "production" (e.g., Tilman et al, 1997Tilman et al, , 2001Evans et al, 2005;Huston and Wolverton, 2009;Witman et al, 2008;Rodríguez et al, 2013aRodríguez et al, ,b, 2015a.…”