Investments in Polish Agriculture: How Production Factors Shape Conditions for Environmental Protection?

: In recent years, social and economic goals have been preferable compared to environmental issues. However, global problems with the environment, increasing pollution, and gas heating emissions have made environmental issues a major priority. Suddenly, human beings have realized that environmental investments are needed to maintain better world conditions for future generations. This article investigates the development of agricultural investment in the context of production factors in Polish voivodeships in the years 2000–2018. Farmers have to choose between investing and developing production or being more environmentally friendly and invest on a smaller scale or transform their farms into organic production. Moreover, the investment in environmental protection in Poland was analyzed. Investment outlays on fixed assets for environmental protection and outlays on fixed assets for water management were investigated. The level of investment has changed since Poland joined the EU. With membership, Poland gained access to new markets and technology. Particular attention has been focused on production factors (land, capital, and the work force). We have conducted as a proxy regular regression analysis and after panel regression to measure the impact of the chosen factors on explained variables: investment outlays in agriculture, and investment outlays per 1 ha of agricultural land. We have used correlation analysis to examine the relations between explanatory variables and total gross investment in agriculture and total investment outlays in agriculture per 1 ha of agricultural land, outlays on fixed assets for environmental protection, and outlays on fixed assets for water management. Our analysis confirms that explanatory variables are important in shaping total investment outlays in agriculture and total investment outlays per 1 ha of agricultural land.


Introduction
The biggest problems of modern agriculture include volatility of agricultural product prices, population growth, and climate change. These factors cause uncertainty both for farmers and customers. One of the causes for this problem is the unstable supply of goods. Investment in 1. What are the investment outlays in agriculture and the environment in Poland and how have they changed after accession to the EU? 2. How are the changes of investment in Polish Agriculture and Environment? 3. Which factors determined the investment in Polish agriculture and environment? 4. How will the investment in Polish agriculture and factors shaping it change?
To achieve the objective, we have used multiple regression analysis as a proxy for further panel regression analysis to check the impact of selected factors on the investment in agriculture and environment in Polish voivodeships in 2000-2018. Based on the regression equation, the strength of the relationship (regression coefficient) between the dependent and independent variables was calculated [31,32].
The paper is organized as follows. In the next section, we describe the production factors in the economy and we concentrate on the impact of investment on the environment. Then, we present the method of analysis. Next, we discuss the diversification of investment in Polish agriculture and the environment, followed by an economic analysis of factors having an impact on Polish investment in agriculture and the environment. Finally, we draw conclusions.

The Role of Production Factors in the Development of Agriculture and Food Security
Production factors have been widely described in economic theory. The introduction of the market economy in Poland changed the relationship between production factors. The changes after 1989 were so large and severe that they caused "instability of the macroeconomic environment" and relations between elements of the food economy. Production factors, i.e., land, labor, and capital, vary in mobility, and areas used for agriculture were limited. According to Guth and Smedzik-Ambroży [33], factor endowments are the primary determinants of the economics of farming. This is also supported by other studies of various authors that show that the effects of farming in agriculture are primarily determined by the use of production resources. At the same time, not only resources in the quantitative sense, but also in the qualitative sense, and the relations between them in the production process play an important role [34]. A. Marshall introduced a fourth factor into economics-organization or entrepreneurship, while J. Schumpeter recognized the importance of innovation as a production factor having a fundamental impact on the achievement of competitive advantage by enterprises [35,36]. This also applies to agricultural products. According to the above theories, the factor endowments determine the production costs and therefore the incentive to invest.
The impact of factor endowments on the efficiency of agricultural production results from the production function. It illustrates the relationship between the amount of expenditure incurred and measured, e.g., depreciation, the number of man-hours, the number of employees, the area of agricultural land, the value of fertilizers and other current assets, and the results achieved (e.g., the amount of product produced) [37]. It should be noted that this relationship is increasingly shaped by unconventional factors external to the given entity, e.g., scientific research, dissemination of progress, technical infrastructure, and climate. Other exogenous factors affecting production efficiency are primarily: market relations (prices of products and means for their production) and institutional and legal instruments, e.g., the EU common agricultural policy. Despite this, the factor-product relationship remains one of the main economic characteristics of production processes, and the improvement of this relationship is an endogenous, fundamental source of maximization of the producer's objective function, which is the selection of the most effective allocation of factors of production to the production effort [38].

Land as a Factor Determining Agriculture Development
Land is considered to be the most important asset for the rural population because it is the place of their livelihood [39]. The soil is responsible for the production of 95% of the food produced for people and feed produced for animals [40]. In Poland, many problems exist with land management. These problems reflect economic resources whose supply is inflexible in the short term. Other production factors such as capital and labor can move relatively quickly from poorer utilized regions to more efficient regions. Land, on the other hand, is immobile, which can lead to its inefficient utilization and lower profitability [41,42]. Even with such serious management problems, land is an essential agricultural production resource, even though Johnson [43] claims that its role is increasingly being replaced by capital.
Land use changes can include conversion of forest, grassland, urban land, and cultivated land. The process can be linked with climate change. It is very common in Western and Eastern Europe to convert cropland or grassland into forests [44]. The land can also be converted from agriculture to nature or between different agricultural sectors [45]. The social function of property and land in cities is becoming more and more important [46]. Sustainable land management focuses on balancing economic, environmental, and social demands on land use. It is characterized by management decisions of farms or farm managers because land delivers various goods and services [47]. It is a complex system including science, alliance, communication, and education embedded in social and political context and models [48]. Sustainable land use shows to what extent the natural capital can be replaced by other capital and the investment quality in natural capital. Kaphengst [49] claims that strong sustainability is more sensitive to the quality of natural capital than weak sustainability.
Brekke [50] says that we consider it weak sustainability if the development is non-diminishing from generation to generation. This is by now the dominant interpretation of sustainability. Strong sustainability views sustainability as non-diminishing life opportunities. This should be achieved by conserving the stock of human capital, technological capability, natural resources, and environmental quality. The key issue is the ecosystem and environmental assets that deliver essential services and non-use values.

The Role of Capital in Agriculture Development
A second important factor is capital, which has the greatest mobility. The inflow of capital to rural areas is increasing. This is related to Poland's accession to the EU (2004) and the payment of direct payments and other funds from EU funds to farmers. The concept of investing is inseparably connected with the capital equipment of a farm. In the case of farms, as in other entities, the condition for the development of their activity is not only the restoration of production assets, but, above all, making development investments for the modernization of their assets [51]. In Polish agriculture, this is particularly important, since the consumption of fixed assets is significant, which in 2011 amounted to as much as 77% and almost doubled compared to 1990. The reason for this is that fixed assets in Polish agriculture were often used for a period exceeding their total amortization, as well as the prescribed standards, especially on smaller farms. Research by Kuś and Matyka [52] showed that thanks to access to EU funds, investments in Polish agriculture doubled (comparative analysis for 2000-2012 using data from the Central Statistical Office and Eurostat). Farmers allocated a major part of investment funds to the purchase of tractors and other agricultural machinery, but also to modernized livestock buildings and fruit storage facilities [25]. This significantly increased the capital stock in Polish farms and its use. According to Ruttan, progress in mechanical technology is the main source of increased labor productivity, while progress in biological technology is the main source of increased soil productivity [53].

The Role of Labor in Agriculture Productivity Development
Efficiency in agriculture depends to a large extent on the labor force used in production. The workforce often shows limited mobility. It is estimated that in Poland in 2009, about 13.3% of the population was employed in agriculture, while in more developed EU-15 member states, employment in agriculture ranged on average from 3% to 6% of the population [54]. Nevertheless, labor productivity in Polish agriculture is at a much lower level than in highly developed countries [55].
From the literature, we have inferred the research hypotheses: Hypothesis 1 (H1). Total investment in Polish agriculture and hunting will decrease as the result of CAP fund shortages. Hypothesis 2 (H2). The large Polish agricultural workforce decreases the investment outlays in agriculture and the environment.

Materials and Methods
The changes in the level of investment are presented in the paper. We have used Central Statistical Office in Warsaw data for 2000-2018 to analyze the investment in agriculture and the environment in Poland and this data on the regional level. We used the CSO (Central Statistical Office) [56] data in Poland as the source of this information. We show the changes and present the results using descriptive, tabular, and graphical forms to describe the changes. We have also used the data from Agricultural Land Market in Poland to analyze the sale of land from the National Center for Agricultural Support [57]. To analyze the outlays on fixed assets for environmental protection and outlays on fixed assets for water management, we acquired the data from Environment analysis published by CSO [58].

Regression Analysis and Panel Regression Analysis
In the first stage, we present the direction and dynamics of investment in agriculture and the environment in the years 2000-2018. Pearson correlation coefficients were calculated to determine the dependence of variables. Various research methods were used in data analysis, including comparative analysis, correlation analysis, and multiple regression and panel regression analysis. In order to determine the impact of macroeconomic variables on the investment in agriculture, a regression method was used. We used multiple regression analysis to find a subset of variables associated with the dependent variable as is described by the following formula [59]:  a-directional factor of the straight regression  b-free expression of a simple regression r where: The same procedure was used in panel regression, where the collinearity between the independent variables was checked by VIF analysis. We have chosen to use fixed effects model (FE) as the assumptions of random distribution of error term and no correlation between individual effects and vector of covariates in secondary data are unlikely to hold. However, we also ran the Hausman test and it further proved that in all four cases we should use FE models. As autocorrelation and heteroscedasticity may influence our results, we calculated robust standard errors proposed by Arellano [60]. Next, we have used descriptive methods to present the changes in investment in Poland. We also conducted the descriptive statistics to measure the average, median, minimum, maximum, standard deviation, kurtosis, skewedness, and coefficient of variation of investment in agriculture in Poland.
Based on the regression equation, the strength of the relationship (forward multiple step regression coefficient) between the described (dependent) variables and the individual descriptive (independent) variables was calculated. Appropriate means and standard deviations of the examined features, the coefficient of linear correlation between the examined features, and the multiple regression equations were collected in tables. We have used the F-test to assess the regression equation, and the Student's t-test to assess the correlation coefficient. The significance assessment was made at the level of 0.05.

Setting the Variables
The selection of dependent variables resulted from their importance for investments in agriculture. We have analyzed the total investment outlays in agriculture and investment in agriculture per 1 ha of agricultural land. The analysis of investment per 1 ha of agricultural land enabled a comparison of the spatial differentiation of investment. There is a big differentiation of agriculture and farm area in individual voivodeships in Poland. Presenting only the total investment in agriculture does not take into account the production potential for agriculture in individual voivodeships. Therefore, the value of investment outlays per 1 ha of agricultural land is presented. This approach is confirmed by the literature [25]. Moreover, the authors of the paper wanted to show the environmental impact of investments. That is why we analyzed the outlays on fixed assets for environmental protection and outlays on fixed assets for water management.
The selection of the independent variables was made on the basis of the substantive justification of their impact on the dependent variable. In this respect, endogenous and exogenous variables were taken into account. Then, from the set of presented variables, those with high autocorrelation were eliminated. Ultimately, the sets of variables were limited to a few that had a statistically significant effect on the dependent variables and a strong intuitive reason for inclusion based on our understanding of the problem (Table 1). gross domestic product increase (%) The final variable X5 (gross domestic product increase) can contribute to the analysis of investment in Polish agriculture and environment. The logic here is that if the economy overall is strong, this helps the agricultural sector thrive as well. It is proven that the higher gross domestic product increase can stimulate the investment level from one side. The increase of investment can contribute to the increase of gross domestic product. The decrease of investment level can slow down the gross domestic product. It is proved in the literature that the economic growth and investment rate depends on each other. Sztaudynger [61] analyzed the impact of the investment rate on the GDP growth rate in the Polish economy in 1967-2001. Moreover, foreign direct investment contributes to the development of the country [62].
Taking into account the literature and data availability, five potential explanatory variables were initially selected that may affect investment in agriculture in Poland: total gross value of fixed assets (in mln PLN), average farm area (ha), sale of land from the National Center for Agricultural Support (thousand hectares), employed persons in agriculture (in thousands), and gross domestic product increase (%).
For the analysis of changes in investments in agriculture in 2000-2018, the measures of variability (median, kurtosis, skewness, standard deviation, coefficient of variation, range) and the dynamics of changes (statistical indexes) were used. The research results were compiled in tabular, graphic, and descriptive form.

ARIMA Model Description
An ARIMA model was used to check the stationarity of the model and the prognosis. where: , , , … , -the forecast value of the variable that time period , − 1, − 2, … , − , , … , -model parameters; et-error (rest) of the model for the period t; and p-delay operator.
The structure of the model is based on the assumption that there is autocorrelation between the values of the forecast variable and its values delayed in time.
Another model is the moving average MA model: where: yt-is the value of the forecast variable in period t; et, et-1, …, et-q-errors (residuals) in periods t, …,t -q , , … , -model parameters, and q-delay operator.
To achieve greater flexibility in matching the model to the time series, it is sometimes appropriate to combine both models, which leads to the autoregression model and the ARMA moving average: The model assumes that the value of the forecast variable at the moment or period t depends on its past values and on the differences between the past actual values of the forecast variable and its values obtained from the model (forecast errors) [63][64][65][66][67].

Changes of Investment in Polish Agriculture and Environment
Investment in agriculture helps a nation achieve technological development. According to Czyżewski, Matuszczak, and Miśkiewicz [68], farmers invest when the expected return on investment is higher than the cost of implementation. Furthermore, they do not invest when the expected income is lower than the value of purchased assets. In a situation when the expected revenue is lower than the cost of purchase but higher than the resale value, a ''high profit trap" can occur, which means that capital is immobile [69].
Formerly, farmers tried to get money from the Rural Development Programme to invest. However, the procedure was complicated and farmers needed to prepare a plan of farm development with many necessary documents. They needed help in this process and often had to hire advisory services. In the first years of new perspectives, the ARMA (The Agency for Restructuring and Modernization of Agriculture) did not overcome problems with distributing money to farmers. The most highly developed farms conducted the necessary investment to adjust their farms to the new demanding standards of the EU in the perspective 2007-2014, so they did not invest in the next years. These and other reasons will delay investment in the future.
The level of investment in Polish agriculture has changed in 2000-2018 (Table 2). We wanted to recognize how the investment outlays in agriculture and hunting changed in the years 2000-2018. The analysis confirmed that the highest investment outlays in agriculture and hunting were found in 2018 in Wielkopolskie voivodeship (771.0 mln PLN), Mazowieckie voivodeship (713.6 mln PLN), Warmińsko-Mazurskie voivodeship (425.2 mln PLN), and Podlaskie voivodeship (423 mln PLN). These voivodeships have considerable meadow and pastures, which create good conditions for milk and beef production [70]. The lowest investments in agriculture and hunting in 2018 were found in Świetkorzyskie voivodeship (143.8 mln PLN), Podkarpackie voivodeship (152.8 mln PLN), and Lubuskie voivodeship (179.9 mln PLN). These regions are located in the southern and eastern regions of Poland. These regions have the worst conditions for agriculture production management and poorer soils [71].
There are many reasons for the differences in financial outlays of agriculture in Poland. Kusz [25] explained the differences in investment outlays as the effect of differences in the average land area of farms in Poland. Polish agriculture is very diverse regionally in production potential, structure of production, and its efficiency. That is why investment needs differ [26].  Source: Own elaboration on the basis of Central Statistical Office (CSO) data.
A more detailed analysis was done to find the investment outlays in agriculture and hunting by voivodeship per 1 ha of agricultural land (Table 3 . Such a diversification of investment level can cause differences in agricultural development in Poland. Nowadays, agriculture development should be subsidized equally, which helps to develop climate-smart agriculture. This particularly includes improved agronomic practices, integrated nutrition management, conservation tillage, water management, and other practices [72]. The European Agricultural Guarantee Fund (EAGF) supports agriculture producers with direct payments [73]. More than 1.4 million farmers each year get financial support in Poland. The second source of financing the development of agriculture is the European Agricultural Fund for Rural Development (EAFRD).
The Common Agricultural Policy (CAP) plays an important role in the supporting changes in production of Polish and European agriculture. It also plays a vital role in agriculture investments. Generally, EU-13 countries in the Central and Easter European (CEE) region are characterized by lower investment compared to the farming sector of the EU-15 countries. Therefore, policy makers should take into consideration local conditions in supporting agricultural investments in the EU [74].
The support of rural development is divided in four axes; however, almost half of the public funds are to be spent on improving the competitiveness of agriculture (Axis 1) within the 2007-2013 programming period [75]. The modernization of agricultural holdings is the main priority of Axis 1 support programs in Poland (66%), while 16% are for "early retirement" programs. A very important source are direct payments. Although they are not considered an investment support measure, empirical evidences found that they may stimulate agricultural investment [76].
Poorer farmers have to take loans and endure credit rationing, high borrowing costs, and rural financial market imperfections to finance the rest of their investment [76,77]. However, financing agriculture is still a high-risk activity for most banks because of low profitability in the sector and ineffective land markets. Furthermore, agricultural loans tend to be highly correlated since most producers have similar weather and prices, which increases risk for the lenders. [78].
The  Source: Own elaboration on the basis of CSO data.
Higher socio-economic development increases the degradation of environment. To stop the degradation of the environment, elimination of pollution should be a priority. Thanks to activities focused on environmental protection, the welfare of nations and people can be improved [80]. It is necessary to invest in environmental protection to eliminate pollution and other degradation processes, which are the effect of human economic activity [81]. The aim of these investments is to achieve environmental balance.
The intensification of agricultural production and the development of industrial agriculture led to the reduction in landscape and ecological diversity and loss of semi-natural habitats. This damage to the environment can be caused by intensive use of chemical fertilizers and land. The assessment of social costs can help to determine the optimal agricultural output [82].
Moreover, future growth of population and consumption, increasing production of bioenergy from agriculture, and using more land for roads and businesses will increase the demand for agricultural land. The area of agricultural land is shrinking and the future demand for food and energy can only be fulfilled by more intensive use of existing land [83][84][85].
The investment in the environment in the EU has crucial meaning in innovations. The EU is owner of 30% of the world patents regarding renewable energy sources. However, many enterprises do not achieve success in this field. That is why innovation on the business model level is required to align incentives and revenue mechanisms to leverage sustainable solutions [86,87].
Investment in the development of renewable energy sources is important for the economy because they are responsible for energy security [88].
The investment in the environment can be in the production of second, third, and fourth generation biofuels. However, this production is still in the development and commercial phase. Lignocelusosic plants, which are a source of second-generation biofuels, can be grown on lower quality soils and degraded areas [89,90]. It can also be in farms and other equipment helpful in obtaining renewable energy.
Poland is having quite large outlays on fixed assets for environmental protection (Figure 1). The biggest outlays were in 2015 (15.2 bn PLN). In the years 2005-2015, the outlays increased by 153%. However, in 2016 and 2017, the outlays decreased respectively to 6.5 bn PLN and 6.8 bn PLN. This was because many big investments were financed from the perspective 2007-2013 and from the fact that money from new perspective 2014-2020 were not fully invested. The outlays for sewage management and water preservation, and air and climate preservation, are a main part in the structure of fixed assets on environmental protection. The outlays on sewage management and water preservation were from 35% to 66% on fixed assets on environmental protection. Another big part was outlays on air preservation and climate, which increased from 19% to 39% in the years 2000-2017. The investment in the environment can be both in urban and rural areas. Cities choose different strategies that have environmental impacts on living conditions of inhabitants. The strategies include most environmentally friendly initiatives [91]. Nowadays, major environmental consequences result from products, processes and activities, and degradation [92].
In 2017, the share of outlays on sewage management and water preservation and the preservation of air and climate were respectively 39.8% and 33.9%. The remaining 26.3% was expenditure on waste management (12.7%), on biodiversity and landscape protection (2.0%), noise and vibration reduction (1.0%), the protection of soil and underground and surface waters (0.7%), research and development activities (0.3%), and other activities related to environmental protection (9.6%). The largest expenditure on fixed assets for environmental protection in 2017 were incurred in the Śląskie voivodeship (16.9% of total outlays on fixed assets for environmental protection), Mazowieckie (12.2%), and Zachodniopomorskie (10.2%), while the smallest were in Warmińsko_mazurskie (1.7%) Świętokrzyskie (1.8%) and Lubuskie (2.3%) [93].
Another group of outlays are for water management. Investments related to water management include the construction of water intakes (total with treatment devices and main water and distribution network). Moreover, the investment includes construction of laboratories for water quality control (including automatic water quality measuring stations) and construction of retention tanks (except for fire prevention tanks and diurnal equalization). Additionally, the investment in water includes water stages, navigation and energy, as well as locks and weirs, regulation of rivers and development of streams, construction of flood embankments, and construction of pumping stations and depressive areas [94]. They have increased from 1.7 bn PLN in 2005 to 3.8 bn PLN in 2014 (124%). However, it decreased in 2016 and 2017 respectively to 1.7 bn PLN and 2.1 bn PLN ( Figure 2).
In water management, the largest outlays were incurred in the following voivodships: Śląskie (23.5% of total outlays), Lower Silesia (20.8%), and Mazowieckie (13.4%), while the smallest were in Świętokrzyskie (2.0%) and in Warmińsko-Mazurskie (1.5%). Expenditure on water management in most voivodships was incurred in urban areas. They constituted from 52% to 82% of expenditure on water management.
In four voivodships-Kujawsko-Pomorskie, Lubelskie, Świętokrzyskie, and Warmińsko-Mazurskie-outlays in rural areas accounted for over 50% of outlays on water management (respectively, 63%, 78%, 59%, and 58%). The largest expenditure on water management calculated per capita was incurred in 2017 in the Dolnośląskie voivodship, and the smallest in the Warmińsko-Mazurskie voivodeship (PLN 148 and PLN 21, respectively). The global economy creates the demand for products such as raw materials, semi-finished, and finished goods, which have an impact on the environment. It has become a global challenge to make production and consumption more environmentally sustainable and friendly [94]. The EU has introduced different environmental taxes, the aim of which was to relieve the pressure on the environment. Generally, the EU countries have freedom in designing taxation systems and this creates big differences between countries. This solution can help internalize the negative effects of economic growth [95].
Environmental protection is an international issue. Countries have ratified international environmental agreements (IEAs), for example Kyoto Protocol and Paris Agreement, to achieve global cooperation for climate change [96]. Effective IEAs should promote public goods and mitigation of climate change [97]. Environmental management requires the consolidation of efforts not only at the EU level, but also on country and local levels [98].

Factors Shaping Investment in Polish Agriculture and Environment
The increasing demand for land resulted in significantly higher prices over time. The land in the National Center for Agricultural Support (KOWR) mostly was sold to private investors and the amount of available land decreased from 108 thousand ha in 2005 to 4 thousand ha in 2017 (Table 4) [99].
Another factor shaping investment in Polish agriculture is average farm size. The average farm area in Poland has increased from 9.38 ha in 2005 to 10.65 ha in 2017. The main cause of the farm area increase was the effect of the CAP, which helped farmers to subsidize harvest costs.
Total gross value of fixed assets in agriculture and hunting is also an important factor shaping investments in Polish agriculture. It increased from 112,777.1 mln PLN in 2005 to 144,158.2 mln PLN in 2017. The increasing value of fixed assets can be explained by purchase of new equipment by farmers and investment in buildings and land [25]. The employment in agriculture in Poland is constantly changing with restructuring of agriculture and consolidation of small farms. Polish villages are becoming the place of residence for urban inhabitants. Poland's gross domestic product economy has been growing because of improved conditions in the European economy. Source: Own elaboration on the basis of CSO data.
The pace of changes in agricultural land movement in Poland is caused by various factors, among which the most important is the opportunity to exit agriculture by people to work in other occupations. The interests in land purchase should be linked with the increase of production assets and income increases. Poland is an important land user among EU countries. The land includes arable land and permanent pastures, which deliver fodder especially during summer for dairy production. Many Polish farms are organic and the pasture grazing has a positive effect on grassland and provides organic fertilizers, preserves soil and organic matter, and does not destroy vital organisms [100].
We wanted to check how the investment and factors shaping it changed during the analyzed period. The coefficient of variation measures the changes in the analyzed variables. Our analysis shows that the highest coefficients of variation were found in the sale of land from the State Agency and gross domestic product increase (Table 5).
Kurtosis was negative for almost all analyzed variables except sales of land from the State Agency. The skewedness asymmetry measure was negative except for employed persons in agriculture, outlays on fixed assets for environmental protection, and outlays on fixed assets for water management, indicating that they were different in the analyzed period in relation to the mean.
The highest coefficients of variation were found in sale of land from National Center for Agricultural Support and gross domestic product increase. Such a differentiation of investment and production factors suggests that farmers have to make decisions that do not only help them to acquire agricultural machinery, but also solve ecological problems such as to minimize the consumption of chemicals [73]. Source: Own elaboration on the basis of CSO data.
In turn, the analysis of factors that may affect total outlays of investment in agriculture shows some interesting results. The multiple regression results are presented in Table 6. After verification of the independent variables, it can be observed that the adjusted R 2 = 0.86, so the model explains 86% of the variability of total investment outlays in agriculture in Poland. The multiple regression coefficient where R 2 = 0.86 means that total investment outlays in agriculture are strongly correlated with the following variables: X2-average farm area, X3-sale of land from the National Center for Agricultural Support, and X4-employed persons in agriculture. The adjustment of panel model was much weaker-it explained 48% of within variability (in time) and 26% of between variability (differences between voivodeships) ( Table 7).
Based on the results of the regression analysis, it can be concluded that the total investment outlays in agriculture are primarily influenced by X2-average farm area, which means that with the increase of this measure by 1 ha, total gross investment in agriculture increases by 3.440 thousand PLN. These investments can cause excess production, which can cause the noneffective utilization. This indicates that investment can increase the cost of assets maintenance [15]. According to Pawlak [21], the total value of investments in technical means of construction, mechanization, and transport in agriculture increased by 103.0% during the ten years after accession to the EU.
At the same time, the results imply that an increase in sale of land from the National Center for Agricultural Support by 1 thousand ha will result in decrease of gross investment in agriculture by 280 PLN.
Finally, the increase of employment by 1 thousand people will increase the total gross investment in agriculture by 1.930 mln PLN. Poland is one of the countries of the EU together with Romania with the highest employment in agriculture. Source: Own elaboration on the basis of CSO data. Source: Own elaboration on the basis of CSO data.
In turn, the analysis of factors that may affect total outlays of investment outlays in agriculture per 1 ha of agricultural land are presented in Table 8 and in Table 9. After verification of the independent variables, it can be observed that adjusted R 2 = 0.86, so the model explains 86% of variability of total investment outlays in agriculture per 1 ha of agricultural land, the adjustment of panel model was much weaker in this case and reached only 56% of explanatory power of within variability (in time) and 2% of between variability (differences between voivodeships). Total investment outlays in agriculture per 1 ha of agricultural land are strongly correlated with the following variables: X2-average farm area, X3-sale of land from the National Center for Agricultural Support, X4-employed persons in agriculture.
Based on the results of the regression analysis, it can be concluded that the total gross investment in agriculture per 1 ha of agricultural land is primarily influenced by average farm area by 1 ha will result in an increase of investment outlays in agriculture by 4.070 PLN per 1 ha of agricultural land. Additionally, the increased sale of land from the National Center for Agricultural Support by 1 thousand ha will decrease the total gross investment in agriculture by 290 PLN per 1 ha of agricultural land. The increase of employment by 1 thousand persons will increase the total gross investment in agriculture by 2.210 PLN per 1 ha of agricultural land. Source: Own elaboration on the basis of CSO data.
In Tables 10 and 11, we present the factors that may affect outlays on fixed assets for environmental protection. After verification of independent variables, it can be observed that adjusted R 2 = 0.99, so the model explains 99% of variability of outlays for fixed assets for environmental protection. As in the previous cases, the adjustment of panel model was much weaker. Based on the results of the regression analysis, it can be concluded that outlays on fixed assets for environmental protection is primarily influenced by X2-average farm area and X3-sale of land from the National Center for Agricultural Support. Source: Own elaboration on the basis of CSO data Source: Own elaboration on the basis of CSO data.
Economic growth has at negative impact on the environment, especially the global climate [99]. One of the resources that is affected by global climate change is water. Proper water management requires actions to protect water sources and provide sufficient capacity. Water can be contaminated by industrial plants and intensive agriculture production. Additionally, the nitrogen and phosphorus surplus in agriculture can contaminate surface water [100].
Tables 12 and 13 present the impact of chosen factors on outlays on fixed assets for water management. After verification of independent variables, it can be observed that adjusted R 2 = 0.99, so the model explains 99% of variability of outlays on fixed assets for water management. As in the previous cases the adjustment of panel model was much weaker, and the only variable which proved to be significant is the number of employed in agriculture. The outlays on fixed assets for water management were influenced by following variables: X1-total gross value of fixed asset, X2-average farm area, X3-sale of land from the National Center for Agricultural Support and X5-gross domestic product increase. Source: Own elaboration on the basis of CSO data. Source: Own elaboration on the basis of CSO data.

Stationary and Non-Stationary Autoregression and the Prognosis of Investment and Factors Shaping it
Therefore, an ARIMA model was estimated to test if the investment in agriculture and factors shaping them depend on the previous values in the period under examination (Table 14). The authors of the paper have calculated phi, which are the parameters of the auto-regressive (AR) component model (starting with the lowest lag), and theta, which are the parameters of the moving-average (i.e., MA) component model (starting with the lowest lag).
The next step was to check how many lags should be taken into account when constructing the ARMA model. For this purpose, the Auto-and Cross-Covariance and Correlation ACF and PACF functions were processed. The function ACF computes (and by default plots) estimates of the autocovariance or autocorrelation function. The PACF function is used for the partial autocorrelations. In order to examine further changes in the investment in agriculture and factors shaping them, a forecast was developed (Table 15). The analysis shows that the total gross value of fixed assets in agriculture and hunting (−3.8%) and employed persons in agriculture (2.0%) will decrease in the years 2019-2023.
The outlays on fixed assets for water management will stay the same in the years 2019-2023. Our initial analysis shows that the highest increase in 2023 in comparison to 2019 will be observed in land sold from the State Agency (246.2%), outlays on fixed assets for environmental protection (29.0%), investment outlays in agriculture per 1 ha of agricultural land (9.7%), and total investment outlays in agriculture (7.8%). The smallest increase will be observed in 2022 in comparison to 2018 in average farm area (3.7%) and gross domestic product increase (2.7%).

Discussion
In this paper, the authors wanted to show the meaning of investment in agriculture and the environment. Moreover, we wanted to check which factors determine the investment in Polish agriculture and environment. Our analysis found that farmers increased the level of investment in Poland.
One of the main reasons for the weakening of the propensity to invest among farmers is the difficult weather situation, which adversely affects farmers' income. In addition, many farms also struggle with the problem of animal diseases, including African Swine Fever (ASF). Expensive loans and high machinery prices are among the factors that discourage investment. Farmers most often finance the purchase of machinery with their own resources, plus financial support under EU subsidies and loans.
Agriculture in Poland shows great regional variation in terms of production potential, production structure, and management efficiency. Thus, the conditions and investment needs in this sector vary across the country [26]. Our analysis has confirmed big differences in investment outlays in agriculture in Poland. The highest investment outlays were observed in Wielkopolskie voivodeship, Mazowieckie voivodeship, Warmińsko-Mazurskie voivodeship, and Podlaskie voivodeship. The lowest investments in agriculture in 2017 were found in the Świetkorzyskie voivodeship, Podkarpackie voivodeship, and Lubuskie voivodeship. Such differences of investment have created an effect of division of Polish farms into large and small investment. This can be the effect of differences in farm area of farms.
Agriculture is the third largest source of greenhouse gases in Europe, accounting for more than 10% of emissions. Sustainable and more environmentally friendly agriculture is a direction that can reduce greenhouse gas emissions. Biodiversity, protection of species and ecosystems, and a greater balance between nature and agriculture should be factors regulating the amount of funding for investments in agriculture and the environment, both in Poland and the entire EU.
Investments in environmental protection are also important, as they will contribute to the improvement of the quality of discharged sewage, lessening of damage to the so-called public goods, reduction of emissions of substances into the air (greenhouse gases), and optimization of emission charges. The investments realized in environment protection are coherent with the sustainable development paradigm. Among the investors in the field of environmental protection, the most important groups are enterprises, municipalities, and budgetary units. These investors have to adjust their activity to changing legal solutions and requirements [100].

Conclusions
The investment increase of Polish agriculture has many sources. First of all, the requirements of the CAP forced Polish farmers to invest. Polish agriculture faced strong international competition and had to introduce technological, organizational, and biological advances. This helped to renew fixed assets that resulted in the realization of current production processes and their development [26]. However, the share of fixed assets in agriculture in Polish farms is still very high (more than 80%). Such a situation can cause low capital efficiency. The fixed production assets transfer only part of their value to the final products. That is why such a structure is unfavorable and the renewal of capital is difficult. Some authors claim that the flow of investment in fixed assets is an important indicator of a country's industrial structure. So, investment is a necessary activity to improve the efficiency of those sectors of the economy and is a common phenomenon found in many industrialized countries [101].
As a result of the investments carried out, farms may obtain economic, organizational, and social benefits. The main economic benefits are increased revenues and reduced costs. The organizational benefits, on the other hand, consist of improving the quality of processes of increasing flexibility or faster response to needs. Organizational benefits, in turn, are in the creation of an organizational culture or staff development [15].
The high employment in agriculture can hinder the investment and structural changes in agriculture and decrease the utilization of the existing workforce in rural areas. Our research has confirmed the second hypothesis. The overpopulation in rural areas in Poland has a negative impact on investment.
The investment and CAP have led to the increased demand for agricultural land. One factor in particular has been a state policy related to agricultural production support [71]. Since 1 September 2017, the Agricultural Property Agency and Rural Market Agency has been linked into the National Center for Agricultural Support (KOWR). This is a Polish state legal entity that is an executive agency [102].
The policy makers and farmers should consider the assessment of socio-economic and environmental impact of investments. The rural areas and farms may benefit from proper policy concerning innovation and the environmental issues. The policies may be prepared at different levels, for example, crop rotation, livestock, fertilizers, or pesticide use [74].
Better care of agriculture at the level of policy makers can increase the new functions of agriculture such as enhancement of the rural landscape, viability of rural areas, the rural pleasure landscape, and the maintenance of biodiversity [74,80]. The policy makers should consider the following components: social, economic, and environmental [103]. That is why the more effective methods of conservation biodiversity, particularly in lands used for agricultural production and rural areas, should be introduced [76].
New regulations of agricultural land sales introduced in Poland will reduce the number of transactions and eligible owners. This will lead to smaller agricultural land price increases. Hence, it will result in greater price differences for agricultural land in Poland relative to other EU countries. As a result, the demand for cheaper land in Poland from foreign investors will increase.
Agricultural land in central EU countries (to which Poland belongs) is cheaper in comparison to western EU countries such as Holland, Germany, and France. This creates an incentive to buy the land in central EU countries by richer western EU farmers and entrepreneurs. This occurrence is common because of the immobility of land. Poland, as the largest among the east EU countries, can be the leader in establishing agricultural land policy in this region of the EU.
Transfer of agricultural land from small farms to large farms in Poland is slow due to cultural reasons and a tradition of giving land to natural successors, who mainly are family members. The tradition of keeping land in family hands and as a family legacy will allow farmers to keep land in Poland. Small farms do not have economic strength to reproduce their assets. That is why the lease or sale of land or collective use of machinery is recommended [104,105].
The value of investment outlays in Polish agriculture more than doubled in the years 2000-2018. This was the effect of integration with the EU and support of agriculture within the CAP. The result was the inflow of modern machinery and investments in buildings that enabled an increase in production and improved the conditions for animals and investment in land. The National Center for Agricultural Support (KOWR) will remain the most important institution managing the flow of state land to private farms in Poland. The newest regulations will help to stem the flow of land to foreign investors and businesses. This will have two impacts. First, it will keep prices of agricultural land at a lower level that will help local farmers acquire land. However, it will also enlarge the differences in agricultural land prices between Poland and other EU countries.
Among factors that determined the investment outlays in Polish agriculture were average farm area, employed people in agriculture, and sale of land from the State Agency. Additionally, the increase of investment was connected with farm area increase, which confirms investment in buying agricultural land. Our analysis confirms the findings of Fagarasi et al. [74], who found that large and economically powerful farms made the most investment. Their investment includes new machinery and facilities used in the agricultural production. Small farms, which are more numerous, invest on a smaller scale, which means these farms have difficulty recovering the value of fixed assets.
Our prognosis suggests that total investment outlays in Polish agriculture in the years 2019-2023 will increase. Particular growth will be observed in land sold from the State Agency (246.2%), outlays on fixed assets for environmental protection (29.0%), investment outlays in agriculture per 1 ha of agricultural land (9.7%), and total investment outlays in agriculture (7.8%). This will be the effect of the CAP, which is the key instrument shaping positive changes in Polish agriculture. Funding: This paper was prepared within the project financed by National Science Center (NCN) in Poland, 2018/29/B/HS4/00392. The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript, or in the decision to publish the results.