In this paper the allometric relationship between the number of land parcels within administrative boundaries of a city, Nd, total area of a city, Stot, and the population of a city, N, were investigated. As a result of the analysis, the three ex-ponents S, d, and of the allometric relations Stot NS, Nd Nd, and Nd Stot were determined.
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In this paper we presented a new structural criterion of land delimitation and a new metod of determination of the urbanization level. The metod is based on the morphology of the structure resulting from the division of land into the parcels. It uses the fact that there are only three morphological classes of the distribution of the parcel areas: (i) reverse power law with the exponent equal to 2, (ii) log-normal distribution, and (iii) reverse power law with the exponent equal to 1. These distributions correspond, respectively, to the city core, suburbs, and rural area. The analysis is based on the GIS maps.
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Statistical methods enable obtaining valuable information about real estate market. The information is objective and can be usefull both for individual and mass appraisal. This paper discusses selected issues related to the use of the regression methods in the real estate valuation. They are the metod of trend estimation, the metod of calculation of the price - size relationship for undeveloped land, and the functional form of the distribution function of unit land prices of undeveloped land. The analysis was based on a few thousands of sale transactions in Kraków. This paper also discusses selected issues related to the use of the mul-tiple linear regression in the real estate valuation. They are the functional form of the model, number of the attributes, trend, scale of the values of the attributes and the form of adjustments. Arguments that the dates of sales should be excluded from the list of real estate attributes are brought forward. Also, the paper argues that the regression model should contain an intercept parameter and the scale of the values of the attributes should start from zero.
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