Department of Mathematics, University of Portsmouth, Portsmouth, PO1 3HF, United Kingdom.
Phys Rev E. 2016 Jun;93(6):062402. doi: 10.1103/PhysRevE.93.062402. Epub 2016 Jun 1.
The songs and calls of many bird species, like human speech, form distinct regional dialects. We suggest that the process of dialect formation is analogous to the physical process of magnetic domain formation. We take the coastal breeding grounds of the Puget Sound white crowned sparrow as an example. Previous field studies suggest that birds of this species learn multiple songs early in life, and when establishing a territory for the first time, retain one of these dialects in order to match the majority of their neighbors. We introduce a simple lattice model of the process, showing that this matching behavior can produce single dialect domains provided the death rate of adult birds is sufficiently low. We relate death rate to thermodynamic temperature in magnetic materials, and calculate the critical death rate by analogy with the Ising model. Using parameters consistent with the known behavior of these birds we show that coastal dialect domain shapes may be explained by viewing them as low-temperature "stripe states."
许多鸟类的歌声和鸣叫都像人类的语言一样,形成了独特的地域方言。我们提出,方言形成的过程类似于物理领域中磁畴形成的过程。我们以普吉特海湾金冠戴菊鸟的沿海繁殖地为例。先前的实地研究表明,这种鸟类在生命早期就学会了多种歌曲,当它们第一次建立领地时,会保留其中一种方言,以与大多数邻居相匹配。我们引入了一个简单的晶格模型来展示这个过程,表明如果成年鸟类的死亡率足够低,这种匹配行为可以产生单一的方言域。我们将死亡率与磁性材料中的热力学温度联系起来,并通过类比伊辛模型来计算临界死亡率。使用与这些鸟类已知行为一致的参数,我们表明,沿海方言域的形状可以通过将其视为低温“条纹状态”来解释。