By Dr. Lars Håkanson (auth.)
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Additional resources for A Manual of Lake Morphometry
Four more determinations have to be done to obtain the shoreline with the given statistical certainty. The mean value (x) of the 5 measurements is 202. x474 349 259 204 lS9 124 99 81 69 58 SO 45 41 38 35 n > 475 - 32 - 350 260 205 160 125 100 82 70 59 Sl 46 42 39 36 ~ 33 31 30 29 , 1 2 3 4 S 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Table 7. The relationship between the number of necessary turns (n'), to obtain the shoreline length with a given statistical certainty, and the number of intersectional points (x) obtained with CTP-technique .
5 km)? - what is the optimal number of contour lines, that can be used in the bathymetric map? 6sJ 23 Lake Vanern i Df,,"(m) 0 - 20 ',', 20 - 40 40-60 o$ 5 10 15 20 ' 25 , 30 km 60-80 80-100 >100 : Fig. 12. 8. 8), or 294 km2. The total length of the contour lines in the bathymetric map is 11 400 km (see later part). 14 mm. This is practically equal to the width of the contour 24 Table 5. 65 1 lines on the map. Thus, the error may, for IIDst practical purposes, be regarded as negligible. g. concerning new deep holes or sub-aquatic tops of limited areal extension, and the configuration of certain contour lines, which would be altered since the interpolation would be carried out from a new track net.
25 . The ARIsro planimeter Volume (V _ ~n3); may be determined from the following two formulae: n VI = L i=O n Ie :r i=O V = L p lc (18) ~ (a. + a . 1) l. 1 1+ (a. • a i +l ' 1 1 (19) where Ie = the contour-line interval in m; a i = the total area (= the cumulative area) within the limits of the contour line Ii' in km2. 41 The VI-formula (eq. 18) is called the linear approximation of the volume, the Vp-formula (eq. 19) the parabolic approximation. Which of these two formulae should be used depends on the lake form (Hakanson, 1977a).
A Manual of Lake Morphometry by Dr. Lars Håkanson (auth.)