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CU Mathematicians Show How Shallow Waves May Help Explain Tsunami Power

While wave watching is a favorite pastime of beachgoers, few notice what is happening in the shallowest water. A closer look by two University of Colorado Boulder applied mathematicians has led to the discovery of interacting X- and Y-shaped ocean waves that may help explain why some tsunamis are able to wreak so much havoc.

Professor Mark Ablowitz and doctoral student Douglas Baldwin repeatedly observed such wave interactions in ankle-deep water at both Nuevo Vallarta, Mexico, and Venice Beach, Calif., in the Pacific Ocean — interactions that were thought to be very rare but which actually happen every day near low tide. There they saw single, straight waves interacting with each other to form X- and Y-shaped waves as well as more complex wave structures, all predicted by mathematical equations, said Ablowitz. (more…)

Hacking Code of Leaf Vein Architecture Solves Mysteries, Allows Predictions of Past Climate

By Guest PostMay 27, 2012Environment, Natureancient greeks, carbon dioxide, christine scoffoni, climate, conifers, cycads, Environment, ferns, flowering plants, fossil record, global ecology, hacking code, images of leaves, lawren sack, leaf fossils, leaf sizes, leaf vein architecture, leaf vein systems, mathematical equation, mathematical linkages, michael rawls, past climate, photosynthesis, photosynthetic rate, plants, prediction, respiration, scaling patterns, superhighways, theophrastus of lesbos, tropical forest tree, ucla life scientists, vein network, water transport, xylem pipes

UCLA life scientists have discovered new laws that determine the construction of leaf vein systems as leaves grow and evolve. These easy-to-apply mathematical rules can now be used to better predict the climates of the past using the fossil record.

The research, published May 15 in the journal Nature Communications, has a range of fundamental implications for global ecology and allows researchers to estimate original leaf sizes from just a fragment of a leaf. This will improve scientists’ prediction and interpretation of climate in the deep past from leaf fossils.

Leaf veins are of tremendous importance in a plant’s life, providing the nutrients and water that leaves need to conduct photosynthesis and supporting them in capturing sunlight. Leaf size is also of great importance for plants’ adaptation to their environment, with smaller leaves being found in drier, sunnier places. (more…)

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CU Mathematicians Show How Shallow Waves May Help Explain Tsunami Power

Hacking Code of Leaf Vein Architecture Solves Mysteries, Allows Predictions of Past Climate