<abstract xmlns="http://www.w3.org/1999/xhtml"><p><xref ref-type="bibr" rid="j_quageo-2018-0041_ref_012_w2aab3b7b8b1b6b1ab1b6c12Aa">Kopczewska (2017)</xref> proposed a new empirical measure of spatial agglomeration (<italic>SPAG</italic>) of economic activity based on geolocations of firms. The aim of the paper is to introduce theoretical backgrounds of <italic>SPAG</italic>. The measure is a product of two random variables with beta and gamma distributions. The moments of the product are described and estimated for Poland with spatial centroids of LAU2 treated as geolocations of firms for empirical distribution as well as for the set of firms located in a regular region. Another approach to <italic>SPAG</italic> properties has its origin in a geometric probability concept. We present the research results on geometric probability, applied to <italic>SPAG</italic>, as distance probability distributions for a regular region.</p></abstract>

Kopczewska (2017) proposed a new empirical measure of spatial agglomeration (SPAG) of economic activity based on geolocations of firms. The aim of the paper is to introduce theoretical backgrounds of SPAG. The measure is a product of two random variables with beta and gamma distributions. The moments of the product are described and estimated for Poland with spatial centroids of LAU2 treated as geolocations of firms for empirical distribution as well as for the set of firms located in a regular region. Another approach to SPAG properties has its origin in a geometric probability concept. We present the research results on geometric probability, applied to SPAG, as distance probability distributions for a regular region.

<italic>SPAG</italic>: A New Measure of Spatial Agglomeration. Theoretical Background and Empirical Examples<sup><xref ref-type="fn" rid="j_quageo-2018-0041_fn_001_w2aab3b7b8b1b6b1ab1b5aAa">1</xref></sup>

Institute of Socio-Economic Geography and Spatial Management

Quaestiones Geographicae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

: A New Measure of Spatial Agglomeration. Theoretical Background and Empirical Examples

Kopczewska (2017) proposed a new empirical measure of spatial agglomeration (SPAG) of economic activity based on geolocations of firms. The aim of the paper is...

Class of employment	Number of firms
1–9	3,938,654
10–49	146,926
50–249	29,610
250–999	3,706
1000 and more	775
	4,119,671

SPAG: A New Measure of Spatial Agglomeration. Theoretical Background and Empirical Examples¹

Published Online: Dec 31, 2018

Page range: 33 - 42

Received: Jul 18, 2018

DOI: https://doi.org/10.2478/quageo-2018-0041

Keywords
agglomeration, concentration, specialisation, clustering, distribution, geometric probability, distance distribution, regular region, economic activity

© 2018 Tomasz Kossowski et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Fig. 1

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Classes of the employment size of firms in Poland.

SPAG: A New Measure of Spatial Agglomeration. Theoretical Background and Empirical Examples1

Published Online: Dec 31, 2018

Page range: 33 - 42

Received: Jul 18, 2018

DOI: https://doi.org/10.2478/quageo-2018-0041

Keywordsagglomeration, concentration, specialisation, clustering, distribution, geometric probability, distance distribution, regular region, economic activity

© 2018 Tomasz Kossowski et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Fig. 6

Fig. 7

Fig. 8

Fig. 9

Fig. 10

Classes of the employment size of firms in Poland.

SPAG: A New Measure of Spatial Agglomeration. Theoretical Background and Empirical Examples¹

Keywords
agglomeration, concentration, specialisation, clustering, distribution, geometric probability, distance distribution, regular region, economic activity