Description Usage Arguments Details Value Author(s) References See Also Examples
Calculating the location quotient (a.k.a. Hoover-Balassa quotient) for a given number of I industries and J regions
1 2 |
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 |
LQ.norm |
Type of normalization of the location quotients: no normalization (default: |
LQ.output |
Type of output: matrix (default: |
na.rm |
logical argument that indicates whether NA values should be excluded before computing results |
The location quotient is a simple measure for the concentration of an industry (i) in a region (j) and is also the mathematical basis for other related indicators in regional economics (e.g. gini.conc()
). The function returns the value LQ which is equal to 1 if the concentration of the regarded industry is exactly the same as the over-all concentration (that means, it is proportionally represented in region j). If the value of LQ is smaller (bigger) than 1, the industry is underrepresented (overrepresented). The function checks the input values for errors (i.e. if employment in a region is bigger than over-all employment).
Two types of normalization are available: z values of the location quotients (O'Donoghue/Gleave 2004) or z values of logged location quotients (Tian 2013).
A matrix or data frame containing IxJ values of LQ
Thomas Wieland
Farhauer, O./Kroell, A. (2014): “Standorttheorien: Regional- und Stadtoekonomik in Theorie und Praxis”. Wiesbaden : Springer.
Hoen A.R./Oosterhaven, J. (2006): “On the measure of comparative advantage”. In: The Annals of Regional Science, 40, 3, p. 677-691.
Nakamura, R./Morrison Paul, C. J. (2009): “Measuring agglomeration”. In: Capello, R./Nijkamp, P. (eds.): Handbook of Regional Growth and Development Theories. Cheltenham: Elgar. p. 305-328.
O'Donoghue, D./Gleave, B. (2004): “A Note on Methods for Measuring Industrial Agglomeration”. In: Regional Studies, 38, 4, p. 419-427.
Tian, Z. (2013): “Measuring agglomeration using the standardized location quotient with a bootstrap method”. In: Journal of Regional Analysis and Policy, 43, 2, p. 186-197.
litzenberger
, gini.conc
, gini.spec
, locq
, hoover
, ellison.a
, ellison.a2
, ellison.c
, ellison.c2
1 2 3 4 5 6 7 8 9 10 11 | data (G.regions.industries)
lqs <- locq2(e_ij = G.regions.industries$emp_all,
G.regions.industries$ind_code, G.regions.industries$region_code,
LQ.output = "df")
# output as data frame
lqs_sort <- lqs[order(lqs$LQ, decreasing = TRUE),]
# Sort decreasing by size of LQ
lqs_sort[1:5,]
|
Location quotients
I = 17 industries, J = 16 regions
j_region i_industry LQ
1 BB WZ08-B 2.53143635
2 BB WZ08-C 0.68572315
3 BB WZ08-D 1.17364755
4 BB WZ08-E 1.79456845
5 BB WZ08-F 1.59977784
6 BB WZ08-G 0.95501272
7 BB WZ08-H 1.32127936
8 BB WZ08-I 1.03794255
9 BB WZ08-J 0.56258760
10 BB WZ08-K 0.65293292
11 BB WZ08-L 1.10888462
12 BB WZ08-M 0.73662381
13 BB WZ08-N 1.25713010
14 BB WZ08-P 0.90529762
15 BB WZ08-Q 1.15404231
16 BB WZ08-R 1.06569453
17 BB WZ08-S 1.14093733
18 BE WZ08-B 0.04030901
19 BE WZ08-C 0.37224900
20 BE WZ08-D 0.46721079
21 BE WZ08-E 1.30128835
22 BE WZ08-F 0.77160121
23 BE WZ08-G 0.83133221
24 BE WZ08-H 0.87982228
25 BE WZ08-I 1.35561299
26 BE WZ08-J 1.78334039
27 BE WZ08-K 0.76630600
28 BE WZ08-L 2.13220960
29 BE WZ08-M 1.39880205
30 BE WZ08-N 1.24261162
31 BE WZ08-P 1.38842157
32 BE WZ08-Q 1.09329902
33 BE WZ08-R 2.55595102
34 BE WZ08-S 1.32596177
35 BW WZ08-B 0.66079495
36 BW WZ08-C 1.39686522
37 BW WZ08-D 1.08619881
38 BW WZ08-E 0.58965258
39 BW WZ08-F 0.90700957
40 BW WZ08-G 0.94925233
41 BW WZ08-H 0.81896663
42 BW WZ08-I 0.91329490
43 BW WZ08-J 1.03161136
44 BW WZ08-K 0.93299299
45 BW WZ08-L 0.73100144
46 BW WZ08-M 1.03371385
47 BW WZ08-N 0.79770538
48 BW WZ08-P 0.96492895
49 BW WZ08-Q 0.86952412
50 BW WZ08-R 0.85181917
51 BW WZ08-S 0.86268292
52 BY WZ08-B 0.80780543
53 BY WZ08-C 1.19027848
54 BY WZ08-D 0.83437836
55 BY WZ08-E 0.71373881
56 BY WZ08-F 1.02804094
57 BY WZ08-G 0.98798257
58 BY WZ08-H 0.86641628
59 BY WZ08-I 1.03908860
60 BY WZ08-J 1.15507644
61 BY WZ08-K 1.10588903
62 BY WZ08-L 0.86338941
63 BY WZ08-M 1.02659931
64 BY WZ08-N 0.84869706
65 BY WZ08-P 0.92522447
66 BY WZ08-Q 0.90796789
67 BY WZ08-R 0.82205402
68 BY WZ08-S 0.90921251
69 HB WZ08-B 0.00000000
70 HB WZ08-C 0.78635701
71 HB WZ08-D 0.91797184
72 HB WZ08-E 1.23932277
73 HB WZ08-F 0.62129234
74 HB WZ08-G 0.90131925
75 HB WZ08-H 1.76928155
76 HB WZ08-I 0.99043082
77 HB WZ08-J 1.05771072
78 HB WZ08-K 0.78251782
79 HB WZ08-L 1.32547228
80 HB WZ08-M 1.12025321
81 HB WZ08-N 1.29381608
82 HB WZ08-P 1.05631685
83 HB WZ08-Q 0.95448911
84 HB WZ08-R 1.31966131
85 HB WZ08-S 1.13966158
86 HE WZ08-B 0.37357729
87 HE WZ08-C 0.85803520
88 HE WZ08-D 0.96279546
89 HE WZ08-E 0.85322034
90 HE WZ08-F 0.89276813
91 HE WZ08-G 1.00063206
92 HE WZ08-H 1.22087276
93 HE WZ08-I 0.95713387
94 HE WZ08-J 1.14070777
95 HE WZ08-K 1.67105825
96 HE WZ08-L 1.11329390
97 HE WZ08-M 1.14577703
98 HE WZ08-N 1.05259119
99 HE WZ08-P 1.00852066
100 HE WZ08-Q 0.89806801
101 HE WZ08-R 0.86514510
102 HE WZ08-S 1.05281844
103 HH WZ08-B 0.60293882
104 HH WZ08-C 0.47819341
105 HH WZ08-D 0.43328697
106 HH WZ08-E 1.14420055
107 HH WZ08-F 0.54321632
108 HH WZ08-G 1.06543149
109 HH WZ08-H 1.49586101
110 HH WZ08-I 1.06340664
111 HH WZ08-J 1.92669126
112 HH WZ08-K 1.51750779
113 HH WZ08-L 1.58718383
114 HH WZ08-M 1.62939131
115 HH WZ08-N 1.25306076
116 HH WZ08-P 0.94227395
117 HH WZ08-Q 0.85646040
118 HH WZ08-R 1.49145640
119 HH WZ08-S 0.80551283
120 MV WZ08-B 0.62357963
121 MV WZ08-C 0.62301559
122 MV WZ08-D 1.01188381
123 MV WZ08-E 1.56422569
124 MV WZ08-F 1.27165366
125 MV WZ08-G 0.94853768
126 MV WZ08-H 1.12437316
127 MV WZ08-I 1.75746375
128 MV WZ08-J 0.47514730
129 MV WZ08-K 0.53839001
130 MV WZ08-L 1.30340736
131 MV WZ08-M 0.68975714
132 MV WZ08-N 1.24843530
133 MV WZ08-P 0.99662284
134 MV WZ08-Q 1.28931677
135 MV WZ08-R 1.05006851
136 MV WZ08-S 1.11581843
137 NI WZ08-B 1.49870856
138 NI WZ08-C 0.95124382
139 NI WZ08-D 0.99327187
140 NI WZ08-E 1.06454974
141 NI WZ08-F 1.09697556
142 NI WZ08-G 1.07589772
143 NI WZ08-H 1.04091430
144 NI WZ08-I 1.02271964
145 NI WZ08-J 0.67163761
146 NI WZ08-K 0.91084562
147 NI WZ08-L 0.80402696
148 NI WZ08-M 0.86930264
149 NI WZ08-N 0.96751474
150 NI WZ08-P 1.08880536
151 NI WZ08-Q 1.07284116
152 NI WZ08-R 0.92045858
153 NI WZ08-S 0.99654505
154 NW WZ08-B 1.45957668
155 NW WZ08-C 0.93123247
156 NW WZ08-D 1.21397404
157 NW WZ08-E 1.04083563
158 NW WZ08-F 0.87355060
159 NW WZ08-G 1.06121904
160 NW WZ08-H 0.99612245
161 NW WZ08-I 0.87502053
162 NW WZ08-J 0.98306093
163 NW WZ08-K 1.02057979
164 NW WZ08-L 0.99281610
165 NW WZ08-M 1.03665894
166 NW WZ08-N 1.06598926
167 NW WZ08-P 0.98463506
168 NW WZ08-Q 1.05956484
169 NW WZ08-R 0.96115392
170 NW WZ08-S 1.02835714
171 RP WZ08-B 1.03712355
172 RP WZ08-C 1.08226777
173 RP WZ08-D 0.93496794
174 RP WZ08-E 0.98868603
175 RP WZ08-F 1.11348854
176 RP WZ08-G 1.01112743
177 RP WZ08-H 0.96339718
178 RP WZ08-I 1.11212635
179 RP WZ08-J 0.81220576
180 RP WZ08-K 0.88792918
181 RP WZ08-L 0.77744999
182 RP WZ08-M 0.77645583
183 RP WZ08-N 0.80261808
184 RP WZ08-P 1.09761779
185 RP WZ08-Q 1.04184599
186 RP WZ08-R 0.84980529
187 RP WZ08-S 1.16588522
188 SH WZ08-B 0.50781453
189 SH WZ08-C 0.70825132
190 SH WZ08-D 1.12486850
191 SH WZ08-E 1.07075848
192 SH WZ08-F 1.10434491
193 SH WZ08-G 1.24561001
194 SH WZ08-H 1.01125569
195 SH WZ08-I 1.24839661
196 SH WZ08-J 0.74969253
197 SH WZ08-K 0.83551779
198 SH WZ08-L 1.19805526
199 SH WZ08-M 0.79054982
200 SH WZ08-N 0.97278705
201 SH WZ08-P 0.95402623
202 SH WZ08-Q 1.16622898
203 SH WZ08-R 1.04187941
204 SH WZ08-S 1.14551776
205 SL WZ08-B 0.28262836
206 SL WZ08-C 1.17528104
207 SL WZ08-D 1.14655390
208 SL WZ08-E 0.95555809
209 SL WZ08-F 0.90168578
210 SL WZ08-G 1.03709014
211 SL WZ08-H 0.88510466
212 SL WZ08-I 0.91118767
213 SL WZ08-J 0.71335872
214 SL WZ08-K 1.00829835
215 SL WZ08-L 0.70188161
216 SL WZ08-M 0.80607528
217 SL WZ08-N 1.07517490
218 SL WZ08-P 0.91478745
219 SL WZ08-Q 1.07609694
220 SL WZ08-R 0.76312628
221 SL WZ08-S 0.88407410
222 SN WZ08-B 1.27461722
223 SN WZ08-C 0.98674167
224 SN WZ08-D 1.06370934
225 SN WZ08-E 1.44574860
226 SN WZ08-F 1.37942858
227 SN WZ08-G 0.87877390
228 SN WZ08-H 1.04766884
229 SN WZ08-I 0.94963696
230 SN WZ08-J 0.77177039
231 SN WZ08-K 0.66207187
232 SN WZ08-L 1.13954218
233 SN WZ08-M 0.84593173
234 SN WZ08-N 1.16564671
235 SN WZ08-P 0.96585901
236 SN WZ08-Q 1.04755952
237 SN WZ08-R 1.14191353
238 SN WZ08-S 0.97747264
239 ST WZ08-B 2.46543307
240 ST WZ08-C 0.92971721
241 ST WZ08-D 1.26427871
242 ST WZ08-E 1.82518528
243 ST WZ08-F 1.41047238
244 ST WZ08-G 0.91725978
245 ST WZ08-H 1.20124302
246 ST WZ08-I 0.90205821
247 ST WZ08-J 0.48743444
248 ST WZ08-K 0.61339328
249 ST WZ08-L 1.01116936
250 ST WZ08-M 0.66273010
251 ST WZ08-N 1.27965475
252 ST WZ08-P 0.97989325
253 ST WZ08-Q 1.14016799
254 ST WZ08-R 0.83292947
255 ST WZ08-S 0.92573968
256 TH WZ08-B 0.71406370
257 TH WZ08-C 1.18498975
258 TH WZ08-D 0.86075784
259 TH WZ08-E 1.60429355
260 TH WZ08-F 1.34810048
261 TH WZ08-G 0.86611841
262 TH WZ08-H 0.89449072
263 TH WZ08-I 0.86442567
264 TH WZ08-J 0.68691767
265 TH WZ08-K 0.63163471
266 TH WZ08-L 0.85118961
267 TH WZ08-M 0.68143391
268 TH WZ08-N 1.10932507
269 TH WZ08-P 0.97105764
270 TH WZ08-Q 1.06286017
271 TH WZ08-R 0.85829191
272 TH WZ08-S 1.09231373
j_region i_industry LQ
33 BE WZ08-R 2.555951
1 BB WZ08-B 2.531436
239 ST WZ08-B 2.465433
28 BE WZ08-L 2.132210
111 HH WZ08-J 1.926691
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