Purcell Jessica, Brodin Anders
Department of Theoretical Ecology, Ecology Building, Lund University, S-223 62 Lund, Sweden.
J Theor Biol. 2007 Dec 21;249(4):804-16. doi: 10.1016/j.jtbi.2007.08.028. Epub 2007 Sep 4.
We used stochastic dynamic programming to investigate a spectacular migration strategy in the black brant Branta bernicla nigricans, a species of goose. Black brant migration is well suited for theoretical analysis since there are a number of existing strategies that easily can be compared. In early autumn, almost the entire population of the black brant gathers at Izembek Lagoon on the Alaska Peninsula to stage and refuel before the southward migration. There are at least three distinct strategies, with most geese making a spectacular direct migration more than 5000km across the Gulf of Alaska to their wintering grounds in southern Baja California or mainland Mexico. This is a potentially dangerous strategy since foraging is not possible during the overseas passage. Some individuals instead use shorter flights to make a detour along the coast, a longer route that all individuals use for northwards migration in spring. Since flight costs accelerate with increasing body mass, migration by short flights is energetically cheaper than long-distance flights. A small but increasing part of the population has recently begun to winter at Izembek. We investigated this migration under two different suppositions using a dynamic state variable model. First, if the geese are free to make a strategic choice, under what assumptions should they prefer direct migration and under what assumptions should they prefer detour migration/winter residency? Second, provided that the dominating direct migration strategy is optimal, what conditions will force the geese to go for detour migration/winter residency? In the second case the geese may try to follow an optimal direct migration strategy, but stochastic events may force them to choose a suboptimal policy. We also simulated possible effects of global warming. The model suggests that the fuel level at arrival in Izembek and fuel gain rates are key factors and that tail winds must have been reliable in the past, otherwise direct migration could not have evolved. It also suggests that a change to milder winters may promote an unexpectedly abrupt change from long-distance to short-distance migration or winter residency. Finally, it produced a number of predictions that might be testable in the field.
我们运用随机动态规划来研究黑腹黑雁(Branta bernicla nigricans,一种鹅类)独特的迁徙策略。黑腹黑雁的迁徙非常适合进行理论分析,因为存在多种现有的策略,便于相互比较。初秋时节,几乎所有的黑腹黑雁都会聚集在阿拉斯加半岛的伊泽贝克泻湖,在向南迁徙前进行休整和补充能量。至少有三种不同的策略,大多数大雁会进行一次壮观的直接迁徙,飞越5000多公里的阿拉斯加湾,前往下加利福尼亚半岛南部或墨西哥大陆的越冬地。这是一种潜在危险的策略,因为在越洋飞行途中无法觅食。一些个体则选择较短的飞行路线,沿着海岸迂回前进,这也是所有个体春季向北迁徙时采用的较长路线。由于飞行成本会随着体重增加而加速上升,短途飞行的迁徙在能量消耗上比长途飞行更为经济。最近,一小部分但数量在不断增加的黑腹黑雁开始在伊泽贝克越冬。我们使用动态状态变量模型在两种不同假设下对这种迁徙进行了研究。第一,如果大雁可以自由做出策略选择,在哪些假设条件下它们会选择直接迁徙,又在哪些假设条件下会选择迂回迁徙/冬季居留?第二,假设占主导地位的直接迁徙策略是最优的,哪些条件会迫使大雁选择迂回迁徙/冬季居留?在第二种情况下,大雁可能试图遵循最优的直接迁徙策略,但随机事件可能迫使它们选择次优策略。我们还模拟了全球变暖可能产生的影响。该模型表明,抵达伊泽贝克时的能量储备水平和能量获取率是关键因素,而且过去顺风情况肯定较为稳定,否则直接迁徙就不可能演化出来。它还表明,冬季变得更温和可能会促使从长途迁徙到短途迁徙或冬季居留出现意想不到的突然转变。最后,它得出了一些可能在实地得到验证的预测。