Description Usage Arguments Details Value Author(s) References See Also Examples
Calculating the Cluster Index by Litzenberger and Sternberg for a given number of I industries and J regions
1 2 | litzenberger2(e_ij, industry.id, region.id, a_j, p_j, b_ij,
CI.output = "mat", na.rm = TRUE)
|
e_ij |
a vector with the employment of industry i in region j |
industry.id |
a vector containing the IDs of the industries i |
region.id |
a vector containing the IDs of the regions j |
a_j |
a vector containing the areas of the regions j |
p_j |
a vector containing the populations of the regions j |
b_ij |
a vector containing the numbers of firms of industry i in region j |
CI.output |
Type of output: matrix (default: |
na.rm |
logical argument that indicates whether NA values should be excluded before computing results |
The Litzenberger-Sternberg Cluster Index is not standardized and depends on the number of regarded industries and regions.
A matrix or data frame containing IxJ values of CI
Thomas Wieland
Farhauer, O./Kroell, A. (2014): “Standorttheorien: Regional- und Stadtoekonomik in Theorie und Praxis”. Wiesbaden : Springer.
Hoffmann J./Hirsch, S./Simons, J. (2017): “Identification of spatial agglomerations in the German food processing industry”. In: Papers in Regional Science, 96, 1, p. 139-162.
Litzenberger, T./Sternberg, R. (2006): “Der Clusterindex - eine Methodik zur Identifizierung regionaler Cluster am Beispiel deutscher Industriebranchen”. In: Geographische Zeitschrift, 94, 2, p. 209-224.
litzenberger
, gini.conc
, gini.spec
, locq
, locq2
, ellison.a
, ellison.a2
, ellison.c
, ellison.c2
1 2 3 4 5 6 7 8 9 10 11 12 | data (G.regions.industries)
lss <- litzenberger2(G.regions.industries$emp_all,
G.regions.industries$ind_code, G.regions.industries$region_code,
G.regions.industries$area_sqkm, G.regions.industries$pop,
G.regions.industries$firms, CI.output = "df")
# output as data frame
lss_sort <- lss[order(lss$CI, decreasing = TRUE),]
# Sort decreasing by size of CI
lss_sort[1:5,]
|
Litzenberger-Sternberg cluster indices
I = 17 industries, J = 16 regions
j_region i_industry CI
1 BB WZ08-B 0.57366920
2 BB WZ08-C 0.16106787
3 BB WZ08-D 0.22136272
4 BB WZ08-E 0.88102599
5 BB WZ08-F 0.71428882
6 BB WZ08-G 0.27077871
7 BB WZ08-H 0.43868777
8 BB WZ08-I 0.26723360
9 BB WZ08-J 0.11303259
10 BB WZ08-K 0.15248253
11 BB WZ08-L 0.25648136
12 BB WZ08-M 0.16858953
13 BB WZ08-N 0.42321660
14 BB WZ08-P 0.20430232
15 BB WZ08-Q 0.34456305
16 BB WZ08-R 0.24509319
17 BB WZ08-S 0.28911323
18 BE WZ08-B 0.05611505
19 BE WZ08-C 3.24717820
20 BE WZ08-D 1.37720778
21 BE WZ08-E 10.14891585
22 BE WZ08-F 11.36434353
23 BE WZ08-G 12.10626625
24 BE WZ08-H 13.26265081
25 BE WZ08-I 26.60020727
26 BE WZ08-J 59.24931837
27 BE WZ08-K 10.28664194
28 BE WZ08-L 56.65943460
29 BE WZ08-M 39.30149403
30 BE WZ08-N 26.91532975
31 BE WZ08-P 25.30839556
32 BE WZ08-Q 21.86956483
33 BE WZ08-R 104.73565741
34 BE WZ08-S 24.71310833
35 BW WZ08-B 0.80418127
36 BW WZ08-C 2.62508051
37 BW WZ08-D 1.70435052
38 BW WZ08-E 0.82355174
39 BW WZ08-F 1.23721079
40 BW WZ08-G 1.39035316
41 BW WZ08-H 1.09557469
42 BW WZ08-I 1.40986571
43 BW WZ08-J 1.43420374
44 BW WZ08-K 1.47749805
45 BW WZ08-L 0.95940926
46 BW WZ08-M 1.53067987
47 BW WZ08-N 1.02283263
48 BW WZ08-P 1.36564094
49 BW WZ08-Q 1.17702969
50 BW WZ08-R 1.08397668
51 BW WZ08-S 1.34355762
52 BY WZ08-B 1.10734462
53 BY WZ08-C 1.20434146
54 BY WZ08-D 1.41782082
55 BY WZ08-E 0.68902125
56 BY WZ08-F 0.94422208
57 BY WZ08-G 0.94046774
58 BY WZ08-H 0.79820744
59 BY WZ08-I 0.96330292
60 BY WZ08-J 1.23935791
61 BY WZ08-K 1.16924615
62 BY WZ08-L 0.86956365
63 BY WZ08-M 1.01104719
64 BY WZ08-N 0.74718719
65 BY WZ08-P 0.95090282
66 BY WZ08-Q 0.78738769
67 BY WZ08-R 0.78217786
68 BY WZ08-S 0.95948817
69 HB WZ08-B NaN
70 HB WZ08-C 5.11966880
71 HB WZ08-D 4.17216154
72 HB WZ08-E 6.70574394
73 HB WZ08-F 3.49892111
74 HB WZ08-G 7.13620546
75 HB WZ08-H 22.65692351
76 HB WZ08-I 8.48133822
77 HB WZ08-J 8.68399837
78 HB WZ08-K 6.65021283
79 HB WZ08-L 11.83990010
80 HB WZ08-M 9.41049808
81 HB WZ08-N 10.79602732
82 HB WZ08-P 7.32270897
83 HB WZ08-Q 7.85088590
84 HB WZ08-R 10.55536908
85 HB WZ08-S 9.89368791
86 HE WZ08-B 0.47450842
87 HE WZ08-C 1.06030870
88 HE WZ08-D 0.85413593
89 HE WZ08-E 1.14272854
90 HE WZ08-F 1.12250866
91 HE WZ08-G 1.33610604
92 HE WZ08-H 1.83582716
93 HE WZ08-I 1.28802104
94 HE WZ08-J 1.90248257
95 HE WZ08-K 2.47390439
96 HE WZ08-L 1.60999294
97 HE WZ08-M 1.73024339
98 HE WZ08-N 1.52658463
99 HE WZ08-P 1.46278711
100 HE WZ08-Q 1.21636237
101 HE WZ08-R 1.04896722
102 HE WZ08-S 1.54219030
103 HH WZ08-B 2.31961082
104 HH WZ08-C 4.00010393
105 HH WZ08-D 1.67937102
106 HH WZ08-E 11.12915599
107 HH WZ08-F 5.52608299
108 HH WZ08-G 15.62708966
109 HH WZ08-H 44.37183557
110 HH WZ08-I 14.79588537
111 HH WZ08-J 59.72058402
112 HH WZ08-K 26.18962266
113 HH WZ08-L 33.17544287
114 HH WZ08-M 44.43352692
115 HH WZ08-N 23.25519505
116 HH WZ08-P 14.29407491
117 HH WZ08-Q 13.21191844
118 HH WZ08-R 44.25621400
119 HH WZ08-S 14.19515640
120 MV WZ08-B 0.16000177
121 MV WZ08-C 0.11993714
122 MV WZ08-D 0.20954802
123 MV WZ08-E 0.44055556
124 MV WZ08-F 0.45291220
125 MV WZ08-G 0.22665565
126 MV WZ08-H 0.32192237
127 MV WZ08-I 0.59842705
128 MV WZ08-J 0.05895184
129 MV WZ08-K 0.12112900
130 MV WZ08-L 0.25167830
131 MV WZ08-M 0.11657637
132 MV WZ08-N 0.31231467
133 MV WZ08-P 0.24008982
134 MV WZ08-Q 0.38626491
135 MV WZ08-R 0.20066782
136 MV WZ08-S 0.27631480
137 NI WZ08-B 1.50045303
138 NI WZ08-C 0.50368383
139 NI WZ08-D 0.88489563
140 NI WZ08-E 0.64767974
141 NI WZ08-F 0.62767914
142 NI WZ08-G 0.68983593
143 NI WZ08-H 0.64201456
144 NI WZ08-I 0.63351256
145 NI WZ08-J 0.29057685
146 NI WZ08-K 0.56480501
147 NI WZ08-L 0.52282483
148 NI WZ08-M 0.44409589
149 NI WZ08-N 0.52712928
150 NI WZ08-P 0.72039527
151 NI WZ08-Q 0.68774866
152 NI WZ08-R 0.45088618
153 NI WZ08-S 0.53648476
154 NW WZ08-B 2.07473530
155 NW WZ08-C 2.01075654
156 NW WZ08-D 2.00170794
157 NW WZ08-E 1.91519648
158 NW WZ08-F 1.65638416
159 NW WZ08-G 2.37736476
160 NW WZ08-H 1.98049075
161 NW WZ08-I 1.73196267
162 NW WZ08-J 2.13979638
163 NW WZ08-K 1.95396341
164 NW WZ08-L 2.22385383
165 NW WZ08-M 2.29730811
166 NW WZ08-N 2.41335110
167 NW WZ08-P 2.02297064
168 NW WZ08-Q 2.26051779
169 NW WZ08-R 2.19075182
170 NW WZ08-S 1.94147014
171 RP WZ08-B 1.19512657
172 RP WZ08-C 0.96463511
173 RP WZ08-D 0.60167149
174 RP WZ08-E 0.86168906
175 RP WZ08-F 0.89731616
176 RP WZ08-G 0.81158172
177 RP WZ08-H 0.70873414
178 RP WZ08-I 1.05729958
179 RP WZ08-J 0.51429532
180 RP WZ08-K 0.71049294
181 RP WZ08-L 0.53496408
182 RP WZ08-M 0.49616108
183 RP WZ08-N 0.55375095
184 RP WZ08-P 0.97049749
185 RP WZ08-Q 0.77709797
186 RP WZ08-R 0.52872904
187 RP WZ08-S 0.79962906
188 SH WZ08-B 0.31190909
189 SH WZ08-C 0.40085979
190 SH WZ08-D 1.29891053
191 SH WZ08-E 0.81010869
192 SH WZ08-F 0.80556617
193 SH WZ08-G 0.90082874
194 SH WZ08-H 0.72059610
195 SH WZ08-I 1.03613892
196 SH WZ08-J 0.44271796
197 SH WZ08-K 0.57588183
198 SH WZ08-L 0.85875875
199 SH WZ08-M 0.44561194
200 SH WZ08-N 0.73480679
201 SH WZ08-P 0.69377918
202 SH WZ08-Q 0.84262534
203 SH WZ08-R 0.66942726
204 SH WZ08-S 0.92388157
205 SL WZ08-B 0.36730896
206 SL WZ08-C 1.83487126
207 SL WZ08-D 0.96432626
208 SL WZ08-E 1.99394611
209 SL WZ08-F 1.32451524
210 SL WZ08-G 1.75280779
211 SL WZ08-H 1.10991515
212 SL WZ08-I 1.78711625
213 SL WZ08-J 0.89846793
214 SL WZ08-K 1.55059281
215 SL WZ08-L 0.81707232
216 SL WZ08-M 1.01371510
217 SL WZ08-N 1.39402977
218 SL WZ08-P 1.23313897
219 SL WZ08-Q 1.85512660
220 SL WZ08-R 0.84777016
221 SL WZ08-S 1.61389554
222 SN WZ08-B 1.11791105
223 SN WZ08-C 1.03117225
224 SN WZ08-D 0.45340294
225 SN WZ08-E 1.55541252
226 SN WZ08-F 1.81672627
227 SN WZ08-G 0.76446952
228 SN WZ08-H 0.92970532
229 SN WZ08-I 0.71195666
230 SN WZ08-J 0.49270301
231 SN WZ08-K 0.59805883
232 SN WZ08-L 0.82267731
233 SN WZ08-M 0.64898684
234 SN WZ08-N 1.24926584
235 SN WZ08-P 0.78005314
236 SN WZ08-Q 1.07490000
237 SN WZ08-R 0.86664784
238 SN WZ08-S 0.86005193
239 ST WZ08-B 1.49064630
240 ST WZ08-C 0.32128528
241 ST WZ08-D 0.29391783
242 ST WZ08-E 1.09973945
243 ST WZ08-F 0.68075807
244 ST WZ08-G 0.31005922
245 ST WZ08-H 0.42973342
246 ST WZ08-I 0.29998391
247 ST WZ08-J 0.08046178
248 ST WZ08-K 0.21942805
249 ST WZ08-L 0.21044244
250 ST WZ08-M 0.15797219
251 ST WZ08-N 0.42285503
252 ST WZ08-P 0.31406013
253 ST WZ08-Q 0.48353914
254 ST WZ08-R 0.21562997
255 ST WZ08-S 0.34624522
256 TH WZ08-B 0.45627298
257 TH WZ08-C 0.78923598
258 TH WZ08-D 0.20860415
259 TH WZ08-E 1.18157264
260 TH WZ08-F 1.03137492
261 TH WZ08-G 0.43133055
262 TH WZ08-H 0.48816435
263 TH WZ08-I 0.40129099
264 TH WZ08-J 0.20871737
265 TH WZ08-K 0.31604325
266 TH WZ08-L 0.28860684
267 TH WZ08-M 0.24934581
268 TH WZ08-N 0.59353287
269 TH WZ08-P 0.43896755
270 TH WZ08-Q 0.58547874
271 TH WZ08-R 0.29193000
272 TH WZ08-S 0.53697655
j_region i_industry CI
33 BE WZ08-R 104.73566
111 HH WZ08-J 59.72058
26 BE WZ08-J 59.24932
28 BE WZ08-L 56.65943
114 HH WZ08-M 44.43353
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