The population genetic evaluation of the Hungarian Hucul horse population was performed based on pedigree records. Herd book data of registered Hucul horses available up to 2016 were analysed using ENDOG (Gutierrez and Goyache 2005) and POPREP (Groeneveld et al. 2009) on the whole population (WP) as well as on the reference stock (RS) (breeding stock registered in 2016). Inbreeding coefficients were 5.57% (WP) and 7.18% (RS). Average relatedness was 10.39% in WP and higher in RS (12.67%). Effective population size was 52.32. Generation interval was 13.01 years for WP and 10.99 years for RS. The values for equivalent complete generations were 6.07 and 8.75, for the maximum number of generations 14.11 and 19.16, and for the number of full generations traced 3.77 and 5.50 for WP and RS, respectively. The effective number of founders (f_e) was 23 both for WP and RS. The effective number of ancestors (f_a) was 20 in WP and lower in RS (16). The f_a/f_e ratio was 0.869 in WP and 0.696 in RS. Founder genome equivalent (f_g) was 9.618 in WP and 5.790 in RS. The f_g/f_e ratio was 0.481 in WP and 0.361 in RS. The study revealed that both the inbreeding coefficient and the average relatedness were high. The above mentioned ratios indicated loss of genetic diversity in the Hungarian Hucul population.

Gene conservation and management of small populations requires proper knowledge of the background and history of the breed. The aim of the study was the evaluation of population structure and changes of the Hungarian Hucul horse population. Population changes were described for the actual breeding stock as well as for groups of 10-year epochs reflecting major periods of change in the breed. Pedigree data of the registered population were analyzed using Endog and GRain software. The average value of equivalent complete generations was above nine for the actual breeding population. The longest generation interval was the sire-to-daughter pathway. The fe/f ratio had smaller changes than fa/fe ratio across the population history. Inbreeding and average relatedness as well as ancestral coefficients had increased during history. Kalinowski’s decomposition of inbreeding showed that present inbreeding is smaller than it was done earlier during the last 20 years. Due to the continuous imports from other breeder countries, the genetic variability increased during the evaluated time periods.

We examined the Hungarian population of the Hucul horse breed, under genetic protection, based on population genetic indicators until the year 2014 included. The evaluation was performed using the Endog programme based on the following indicators: inbreeding coefficient, average relatedness, the maximum number of generations, the number of full generations traced and offspring number. Our findings were as follows: the average inbreeding coefficient of the total population was 5.99%, average relatedness was 11.82%, the maximum number of generations was, on the average, 16.04%, and the number of full generations traced with reference to the whole population was 4.15% on the average. 40% of the whole population (723 individuals) did not have any offspring; 42% (759 individuals) attained an offspring of 1 or 2, while 3.4% (88 individuals) had a surviving offspring of 3. The highest offspring number according to the national database (92) was attained by one stallion.

Population genetic indicators of the Hungarian Hucul population were calculated taking also into account the effect of imported horses.The birth year of the examined 3002 individuals ranged between 1871–2015. The last year involved in the examination was 2015, when the research was conducted on the stock under stud book control. The calculations on the population were made using the statistic indicators in the Endog programme, with and without the imported Polish horses. Figures were depicted using R software. Number of offspring of the Polish individuals was presented in tables; the distribution of the offspring per stud and per mare family, as well as the Nei’s genetic distance,were presented graphically.