Hypsographic Table of a Conic Lake

Description

Hypsographic Table of a Lake with Conical Morphometry

Source

Generated data, see example below.

References

Sachse, R., Petzoldt, T., Blumstock, M., Moreira, S., P\"atzig, M., R\"ucker, J., Janse, J. H., Mooij, W. M., Hilt, S. (2014) Extending one-dimensional models for deep lakes to simulate the impact of submerged macrophytes on water quality. Environmental Modelling and Software, 61, 410-423

Examples

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area   <- function(Amax, zmax, z){Amax * (1 - (z)/zmax)^2}
volume <- function(Amax, zmax, z){Amax * zmax/3 * (1 - z/zmax)^3}
zmax   <- 30                            # maximum depth (m)
Amax   <- 12.07 * 1000 * 1000           # total Area (m^2)
depth  <- seq(30, 0, -.1)               # depth (m)

hypso_cone <- data.frame(depth = depth,
  volume = volume(Amax, zmax, depth),
  area=area(Amax, zmax, depth)
)

## inverted  depth order
hypso_cone$level <- zmax - hypso_cone$depth

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