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Relación área-perímetro para las áreas de lluvia y nubes
Science (New York, N.Y.)
|April 9, 1982
Resumen
Los perímetros de las áreas de nubes y lluvia exhiben una geometría fractal, que carece de una escala horizontal característica. Este hallazgo, basado en datos de satélite y radar, se alinea con la teoría fractal y sugiere propiedades invariantes en escala en los patrones climáticos.
Área de la Ciencia:
- Meteorología Meteorología.
- La geofísica es la geofísica.
- La geometría fractal es una geometría fractal.
Sus antecedentes:
- La teoría fractal de Mandelbrot proporciona un marco para el análisis de formas irregulares.
- Comprender la geometría de las áreas de nubes y lluvia es crucial para el modelado meteorológico.
Objetivo del estudio:
- Para investigar la geometría de las áreas de nubes y lluvias determinadas por satélite y radar.
- Para aplicar la relación área-perímetro para analizar las dimensiones fractales.
Principales métodos:
- Utilizó datos de satélite y radar para áreas de nubes y lluvia que van desde 1 a 1.2 x 10^6 km^2.
- Se aplicó la relación área-perímetro, P ~ A ^ ^ D / 2 , donde P es el perímetro, A es el área y D es la dimensión fractal.
Principales resultados:
- Los datos de área-perímetro se ajustan a una fórmula donde el perímetro es aproximadamente la raíz cuadrada del área elevada a la potencia D.
- La dimensión fractal (D) se determinó para los perímetros de nubes y lluvia.
Conclusiones:
- Se confirma que los perímetros de nubes y lluvia son fractales.
- Estos perímetros fractales no exhiben ninguna escala de longitud horizontal característica entre 1 y 1000 kilómetros.
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