Mouritsen H, Mouritsen O
Department of Psychology, Queen's University, Kingston, Ont., K7L 3N6, Canada.
J Theor Biol. 2000 Nov 21;207(2):283-91. doi: 10.1006/jtbi.2000.2171.
We present here a mathematical formula for the directional distribution of migratory birds if they use a vector navigation/clock-and-compass strategy to find their winter quarters. It is based on mathematical expectation theory and shows that a simple parabola can describe the expected geographical spread of clock-and-compass birds as a function of migratory distance. Predictions based on this model are then tested against all same autumn ringing recoveries of first-season Pied Flycatchers, Ficedula hypoleuca, ringed in Scandinavia and European Robins, Erithacus rubecula, ringed in Sweden and Finland and recovered north of the Sahara Desert. We find that the predictions of our analytical model fit the ringing recovery distribution of freely migrating conspecifics extremely well.
我们在此给出一个数学公式，用于描述候鸟若采用矢量导航/时钟与罗盘策略寻找其越冬地时的方向分布。该公式基于数学期望理论，表明一条简单的抛物线能够描述采用时钟与罗盘导航的鸟类的预期地理分布范围与迁徙距离之间的函数关系。随后，我们依据该模型所做的预测，与在斯堪的纳维亚地区环志的首季斑姬鹟（Ficedula hypoleuca）以及在瑞典和芬兰环志、在撒哈拉沙漠以北被回收的欧洲知更鸟（Erithacus rubecula）的所有相同秋季环志回收情况进行了对比。我们发现，我们的分析模型所做的预测与自由迁徙的同种鸟类的环志回收分布情况极为吻合。
