scholarly journals Coexistence theory and the frequency-dependence of priority effects

2018 ◽  
Author(s):  
Po-Ju Ke ◽  
Andrew D. Letten

AbstractPriority effects encompass a broad suite of ecological phenomena. Several studies have suggested reframing priority effects around the stabilizing and equalizing concepts of coexistence theory. We show that the only compatible priority effects are those characterized by positive frequency dependence.


2019 ◽  
Vol 116 (13) ◽  
pp. 6205-6210 ◽  
Author(s):  
Tess Nahanni Grainger ◽  
Andrew D. Letten ◽  
Benjamin Gilbert ◽  
Tadashi Fukami

Modern coexistence theory is increasingly used to explain how differences between competing species lead to coexistence versus competitive exclusion. Although research testing this theory has focused on deterministic cases of competitive exclusion, in which the same species always wins, mounting evidence suggests that competitive exclusion is often historically contingent, such that whichever species happens to arrive first excludes the other. Coexistence theory predicts that historically contingent exclusion, known as priority effects, will occur when large destabilizing differences (positive frequency-dependent growth rates of competitors), combined with small fitness differences (differences in competitors’ intrinsic growth rates and sensitivity to competition), create conditions under which neither species can invade an established population of its competitor. Here we extend the empirical application of modern coexistence theory to determine the conditions that promote priority effects. We conducted pairwise invasion tests with four strains of nectar-colonizing yeasts to determine how the destabilizing and fitness differences that drive priority effects are altered by two abiotic factors characterizing the nectar environment: sugar concentration and pH. We found that higher sugar concentrations increased the likelihood of priority effects by reducing fitness differences between competing species. In contrast, higher pH did not change the likelihood of priority effects, but instead made competition more neutral by bringing both fitness differences and destabilizing differences closer to zero. This study demonstrates how the empirical partitioning of priority effects into fitness and destabilizing components can elucidate the pathways through which environmental conditions shape competitive interactions.



2014 ◽  
Vol 4 (4) ◽  
pp. 379-390 ◽  
Author(s):  
Jonathan M. Henshaw ◽  
Michael D. Jennions ◽  
Hanna Kokko


2013 ◽  
Vol 28 (6) ◽  
pp. 317-318 ◽  
Author(s):  
Philip B. Greenspoon ◽  
Leithen K. M’Gonigle






2001 ◽  
Vol 268 (1464) ◽  
pp. 273-277 ◽  
Author(s):  
Jane Molofsky ◽  
James D. Bever ◽  
Janis Antonovics


Ecology ◽  
2016 ◽  
Vol 97 (11) ◽  
pp. 3110-3118 ◽  
Author(s):  
B. Schmid ◽  
H. Nottebrock ◽  
K. J. Esler ◽  
J. Pagel ◽  
K. Böhning-Gaese ◽  
...  




2017 ◽  
Author(s):  
Sebastian J. Schreiber ◽  
Masato Yamamichi ◽  
Sharon Y. Strauss

AbstractStable coexistence relies on negative frequency-dependence, in which rarer species invading a patch benefit from a lack of conspecific competition experienced by residents. In nature, however, rarity can have costs, resulting in positive frequency-dependence (PFD) particularly when species are rare. Many processes can cause positive frequency-dependence, including a lack of mates, mutualist interactions, and reproductive interference from heterospecifics. When species become rare in the community, positive frequency-dependence creates vulnerability to extinction, if frequencies drop below certain thresholds. For example, environmental fluctuations can drive species to low frequencies where they are then vulnerable to PFD. Here, we analyze deterministic and stochastic mathematical models of two species interacting through both PFD and resource competition in a Chessonian framework. Reproductive success of individuals in these models is reduced by a product of two terms: the reduction in fecundity due to PFD, and the reduction in fecundity due to competition. Consistent with classical coexistence theory, the effect of competition on individual reproductive success exhibits negative frequency-dependence when individuals experience greater intraspecific competition than interspecific competition i.e., niche overlap is less than one. In the absence of environmental fluctuations, our analysis reveals that (1) a synergistic effect of PFD and niche overlap that hastens exclusion, (2) trade-offs between susceptibility to PFD and maximal fecundity can mediate coexistence, and (3) coexistence, when it occurs, requires that neither species is initially rare. Analysis of the stochastic model highlights that environmental fluctuations, unless perfectly correlated, coupled with PFD ultimately drive one species extinct. Over any given time frame, this extinction risk decreases with the correlation of the demographic responses of the two species to the environmental fluctuations, and increases with the temporal autocorrelation of these fluctuations. For species with overlapping generations, these trends in extinction risk persist despite the strength of the storage effect decreasing with correlated demographic responses and increasing with temporal autocorrelations. These results highlight how the presence of PFD may alter the outcomes predicted by modern coexistence mechanisms.



Sign in / Sign up

Export Citation Format

Share Document