Ellner S
Theor Popul Biol. 1985 Aug;28(1):80-116. doi: 10.1016/0040-5809(85)90023-1.
The study of ESS germination fractions in S. Ellner (1985, Theor. Pop. Biol. 27, 000-000) is applied and extended in the case of annuals obeying the Reciprocal Yield Law. The effects of parameter changes on the value of the ESS germination fraction are determined in some limiting cases by analyses of approximations. Numerical solutions of the ESS criterion are used to check the robustness of the conclusions and the accuracy of the approximations. In general, the ESS germination fraction decreases with an increased survivorship of buried seeds and with increased "variability" of seed yields. However, different measures of "variability" are appropriate in different circumstances. To avoid the possibility of conflicting predictions depending on the measure of variability, it is suggested that tests of the theory be limited to co-occurring species, and to variability due to climatic fluctuations. The ESS theory based on the Reciprocal Yield Law is compared with D. Cohen's (1966, J. Theor. Biol. 12, 119-129; 1968, J. Ecol. 56, 219-228) density-independent theory of "optimal" germination. The theories differ qualitatively and quantitatively regarding the influence of mean yield, seed survivorship, and the frequency of favorable years on the predicted germination fraction.
在服从互逆产量定律的一年生植物的情况下，应用并扩展了埃尔纳（1985年，《理论种群生物学》第27卷，第000 - 000页）对ESS萌发率的研究。在一些极限情况下，通过近似分析确定参数变化对ESS萌发率值的影响。使用ESS准则的数值解来检验结论的稳健性和近似值的准确性。一般来说，ESS萌发率会随着埋藏种子存活率的增加以及种子产量“变异性”的增加而降低。然而，在不同情况下，“变异性”的不同度量是合适的。为避免因变异性度量不同而产生相互矛盾预测的可能性，建议将该理论的检验限于同时出现的物种，以及限于由气候波动引起的变异性。将基于互逆产量定律的ESS理论与D. 科恩（1966年，《理论生物学杂志》第12卷，第119 - 129页；1968年，《生态学杂志》第56卷，第219 - 228页）的密度独立“最优”萌发理论进行比较了。这两种理论在平均产量、种子存活率和有利年份频率对预测萌发率的影响方面，在定性和定量上都有所不同。
