Sequoia - Articles - LISST bin sizes

LISST Bin Sizes

[Sequoia, December 1, 2008; January 6, 2009]

The LISST manual specifies the bin mid-points of the size bins of the particular instrument (typically type B or C). However, for some applications it is necessary to know the upper and lower limit of the size bins as well. For type B and C LISSTs these lines in MATLAB will compute the lower limit, upper limit and the mid-point in a 32 x 6 matrix:

rho=200^(1/32);
bins(:,1) = 1.25*rho.^([0:31]); %lower limit for type B
bins(:,2) = 1.25*rho.^([1:32]); % upper limit for type B
bins(:,3) = sqrt(bins(:,1).*bins(:,2));%mid-point for type B

bins(:,4) = 2.5*rho.^([0:31]); %lower limit for type C
bins(:,5) = 2.5*rho.^([1:32]); % upper limit for type C
bins(:,6) = sqrt(bins(:,4).*bins(:,5));%mid-point for type C

bins(:,7) = 7.5*rho.^([0:31]); %lower limit for type FLOC
bins(:,8) = 7.5*rho.^([1:32]); %upper limit for type FLOC
bins(:,9) = sqrt(bins(:,7).*bins(:,8));%mid-point for type FLOC

rho=100^(1/32);
bins(:,10) = 5*rho.^([0:31]); %lower limit for type A
bins(:,11) = 5*rho.^([1:32]); % upper limit for type A
bins(:,12) = sqrt(bins(:,10).*bins(:,11));%mid-point for type A

rhoST=200^(1/8);

binST(:,1) = 1.25*rhoST.^([0:7]); %lower limit for LISST-ST type B
binST(:,2) = 1.25*rhoST.^([1:8]); %upper limit for LISST-ST type B
binST(:,3) = sqrt(binST(:,1).*binST(:,2));%mid-point for LISST-ST type B

binST(:,4) = 2.5*rhoST.^([0:7]); %lower limit for LISST-ST type C
binST(:,5) = 2.5*rhoST.^([1:8]); %upper limit for LISST-ST type C
binST(:,6) = sqrt(binST(:,4).*binST(:,5));%mid-point for LISST-ST type C

The tables below tabulate the values computed using the script above.

	LISST B			LISST C			LISST Floc			LISST A
Size bin #	Lower	Upper	Mid	Lower	Upper	Mid	Lower	Upper	Mid	Lower	Upper	Mid
1	1.25	1.48	1.36	2.50	2.95	2.72	7.50	8.85	8.15	5.00	5.77	5.37
2	1.48	1.74	1.60	2.95	3.48	3.20	8.85	10.44	9.61	5.77	6.67	6.20
3	1.74	2.05	1.89	3.48	4.11	3.78	10.44	12.32	11.35	6.67	7.70	7.17
4	2.05	2.42	2.23	4.11	4.85	4.46	12.32	14.54	13.39	7.70	8.89	8.27
5	2.42	2.86	2.63	4.85	5.72	5.27	14.54	17.16	15.80	8.89	10.27	9.55
6	2.86	3.38	3.11	5.72	6.75	6.21	17.16	20.25	18.64	10.27	11.86	11.03
7	3.38	3.98	3.67	6.75	7.97	7.33	20.25	23.90	22.00	11.86	13.69	12.74
8	3.98	4.70	4.33	7.97	9.40	8.65	23.90	28.20	25.96	13.69	15.81	14.71
9	4.70	5.55	5.11	9.40	11.09	10.21	28.20	33.28	30.64	15.81	18.26	16.99
10	5.55	6.55	6.03	11.09	13.09	12.05	33.28	39.28	36.16	18.26	21.08	19.62
11	6.55	7.72	7.11	13.09	15.45	14.22	39.28	46.35	42.67	21.08	24.35	22.66
12	7.72	9.12	8.39	15.45	18.23	16.78	46.35	54.69	50.35	24.35	28.12	26.16
13	9.12	10.76	9.90	18.23	21.51	19.81	54.69	64.54	59.42	28.12	32.47	30.21
14	10.76	12.69	11.69	21.51	25.39	23.37	64.54	76.17	70.11	32.47	37.49	34.89
15	12.69	14.98	13.79	25.39	29.96	27.58	76.17	89.88	82.74	37.49	43.30	40.29
16	14.98	17.68	16.27	29.96	35.36	32.55	89.88	106.07	97.64	43.30	50.00	46.53
17	17.68	20.86	19.20	35.36	41.72	38.41	106.07	125.17	115.22	50.00	57.74	53.73
18	20.86	24.62	22.66	41.72	49.23	45.32	125.17	147.70	135.97	57.74	66.68	62.05
19	24.62	29.05	26.74	49.23	58.10	53.48	147.70	174.30	160.45	66.68	77.00	71.65
20	29.05	34.28	31.56	58.10	68.56	63.11	174.30	205.69	189.34	77.00	88.91	82.74
21	34.28	40.45	37.24	68.56	80.91	74.48	205.69	242.72	223.44	88.91	102.68	95.55
22	40.45	47.74	43.95	80.91	95.48	87.89	242.72	286.43	263.67	102.68	118.57	110.34
23	47.74	56.33	51.86	95.48	112.67	103.72	286.43	338.01	311.15	118.57	136.92	127.41
24	56.33	66.48	61.20	112.67	132.96	122.39	338.01	398.87	367.18	136.92	158.11	147.14
25	66.48	78.45	72.22	132.96	156.90	144.43	398.87	470.70	433.30	158.11	182.59	169.91
26	78.45	92.58	85.22	156.90	185.15	170.44	470.70	555.45	511.32	182.59	210.85	196.21
27	92.58	109.25	100.57	185.15	218.49	201.13	555.45	655.47	603.40	210.85	243.48	226.58
28	109.25	128.92	118.67	218.49	257.83	237.35	655.47	773.50	712.05	243.48	281.17	261.65
29	128.92	152.13	140.04	257.83	304.26	280.09	773.50	912.79	840.26	281.17	324.69	302.15
30	152.13	179.53	165.26	304.26	359.05	330.52	912.79	1077.15	991.57	324.69	374.95	348.92
31	179.53	211.85	195.02	359.05	423.70	390.04	1077.15	1271.11	1170.12	374.95	432.98	402.92
32	211.85	250.00	230.14	423.70	500.00	460.27	1271.11	1500.00	1380.82	432.98	500.00	465.29

	LISST ST B			LISST ST C
Size Bin #	Lower	Upper	Mid	Lower	Upper	Mid
1	1.25	2.42	1.74	2.50	4.85	3.48
2	2.42	4.70	3.38	4.85	9.40	6.75
3	4.70	9.12	6.55	9.40	18.23	13.09
4	9.12	17.68	12.69	18.23	35.36	25.39
5	17.68	34.28	24.62	35.36	68.56	49.23
6	34.28	66.48	47.74	68.56	132.96	95.48
7	66.48	128.92	92.58	132.96	257.83	185.15
8	128.92	250.00	179.53	257.83	500.00	359.05

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