eChapters

Z -distribution: It is a probability density function and a normal distribution that has a mean equal to zero and a standard deviation equal to one and that is used in testing hypotheses about means or proportions of samples drawn from populations whose population standard deviations are known.

Zeatin: Zeatin is a cytokinin C10 H13 N5 O first isolated from the endosperm of Indian corn.

Zeaxanthin: Zeaxanthin is an isomer of lutein occurring in fruits and vegetables (spinach and corn) (Plate 343, 344 and 345).

Zein: Zein is a protein from Indian corn that lacks lysine and tryptophan and is used in making textile fibers, plastics, printing inks, edible coatings, and adhesives and sizes.

This chapter describes fundamental terminology and lays the foundational framework for the course. It offers a general understanding of statistics, its purpose, and its role in addressing diverse problems across various fields of study. Additionally, it explains the rationale behind choosing R software as a powerful tool for data analysis.

Basic Concepts and Terminology

Statistics is an essential tool in agriculture, helping researchers to collect, analyze, interpret, and present numerical data related to plant traits, and agricultural practices. The fundamental goal is to make informed decisions and enhance crop yields, quality, and resilience.

To illustrate, researchers choose to work with a sample due to practical considerations, such as time and cost constraints. For instance, in a field with 10,000 crop plants, a researcher aims to determine the average plant height in the field. To conserve time and resources, they randomly select 200 plants from various locations within the field. These 200 plants constitute a sample from the entire population of 10,000 plants. By analyzing the height observed in the sample, the researcher can conclude the average height of the entire crop field.

This chapter serves as an essential primer on R, providing step-by-step instructions for installing both R and RStudio, one of the most popular integrated development environments (IDEs) for R. Additionally, the chapter covers important aspects such as importing data into R and setting the working directory.

Install R and RStudio

R and RStudio can be installed on Windows, MAC OSX, and Linux platforms. RStudio (the IDE of R) offers a code editor, a unified console, and a suite of visualization tools. It simplifies the use of R, making it more accessible and efficient for data analysis and statistical computing tasks.

Steps to install R and RStudio

1. R can be downloaded and installed from the Comprehensive R Archive

Network (CRAN) webpage (http://cran.r-project.org/).

2. After installing R software, install the RStudio software available at:

http://www.rstudio.com/products/RStudio/.

3. Launch RStudio and start using R inside R studio.

 

In this chapter, the essentials of basic statistics are explored, with a focus on obtaining all key measures of basic statistics with just a single click. Additionally, the process of creating informative data distribution graphs is also explained.

Basic Statistics

Basic statistics offer fundamental tools that help us to make sense of data. Below, you’ll find concise descriptions of key basic statistical measures.

i. Arithematic mean (average)

The average represents the central value of a dataset, calculated by summing all values and dividing by the number of data points.

ii. Median (middle value)

It is the middle value in a dataset when all values are arranged in ascending order. It’s less sensitive to outliers.

iii. Mode (most common value)

The mode is the value that appears most frequently in a dataset.

iv. Variance

Variance measures how much individual data points deviate from the mean. A higher variance indicates a greater spread.

v. Standard deviation

The standard deviation is the square root of the variance. It provides a measure of how spread out the data is.

vi. Range

It is the difference between the maximum and minimum values in a dataset.

In this chapter, the focus is on understanding the importance of experimental design and being familiar with key terminology. You’ll also learn about the three fundamental principles of experimental design and their roles in conducting experiments. Additionally, you’ll learn how to do randomization of treatments in various experimental designs using R.

Experimental Design

Experimental design is the methodical planning of scientific experiments for reliable results by controlling variables and minimizing biases. It serves as the foundation for effective research. Some key definitions to enhance understanding of this concept:

Key terminologies

• Experiment: Structured investigation for knowledge acquisition or validation.

• Experimental unit: Entity receiving treatment (e.g., land plot, pot).

• Treatment: Specific procedure for assessment and comparison.

• Experimental error: Variation among identically treated units.

Principles of Experimental Design

Experiments are vital tools in agricultural research, aiming to assess treatment effectiveness and quantify their impact. However, extraneous factors can confound results. To mitigate these issues, we depend on three core principles of experimental design: replication, randomization, and local control.

This chapter begins with an introductory overview, providing a basic understanding of correlation and its types. It guides readers through in-depth analysis using R, demonstrating how to apply these concepts practically.

Correlation

Correlation analysis is a statistical method used to evaluate the strength and direction of the relationship between two variables. This analysis is vital in identifying and understanding how variables are interconnected within a dataset, providing insights into their mutual influences.

Key aspects of correlation include

• Range of the correlation coefficientThe value of the correlation coefficient (“r”) falls within the range of −1 to +1.

• Independence from origin and scaleThe correlation coefficient (“r”) remains consistent regardless of any changes in the origin or scale of the variables.

• Unit independenceThe correlation coefficient is independent of the units of measurement

of the variables.

• Relationship with independenceWhile uncorrelated variables are generally independent, the reverse is not necessarily true; independent variables will always be uncorrelated.

This chapter provides an insight into the genotypic and phenotypic correlations between plant traits. It incorporates the study of genotypic and phenotypic path analysis and the understanding of genetic variability, all illustrated through practical examples in R, relevant to plant breeding research.

Path Analysis

Path analysis explains not only the direct impact of one character on another but also indirect effects mediated through other variables in the system. The approach is similar to the analysis of variance and is sometimes referred to as the analysis of correlation coefficients. A notable feature of path coefficients is that they are standardized partial regression coefficients, devoid of units. This standardization allows for the direct effects of different variables to be compared and ranked based on their magnitude. This approach was first applied in plant studies by Dewey and Lu in 1959, particularly to examine the factors influencing seed yield.

Path Coefficients

In the computation of path coefficients, a path diagram is translated into a series of simultaneous equations. These equations reveal the direct and indirect contributions of causal variables to the outcome. For example, in the field of plant breeding: consider the yield of forage (Y) being influenced by different variables. These could include the leaf length (X1), leaf width (X2), and number of leaves per plant (X3).

This chapter begins by providing an essential overview of different data transformation methods and their importance. It primarily concentrates on exploring three crucial transformation techniques: the square root transformation, log transformation, and arc sine transformation. Additionally, this chapter explores the practical application and analysis of these transformations using the R programming language.

Data Transformation

Data transformation is often needed in statistical analysis and data processing for several key reasons:

• Assumption of homogeneity of variances: ANOVA requires that the variances within each group being compared are equal. When this assumption is violated, i.e., when variances are significantly different across groups, data transformation can help stabilize these variances.

• Normality assumption: ANOVA assumes that the residuals (the differences between observed and predicted values) are normally distributed. However, real-world data often deviates from this normal distribution. Data transformation, such as log or square root transformations, can help in reshaping the distribution of data.

• Handling skewed data: In situations where the data is highly skewed, the results of ANOVA can be misleading. Transformations can reduce skewness, making the distribution more symmetric and suitable for ANOVA.

• Proportional or percentage data: When dealing with data in the form of proportions or percentages, certain transformations (like the arc sine transformation) are necessary. This is because proportions have a bounded scale (0–1 or 0–100%) and their variances are not constant across the range, which can violate ANOVA assumptions

The chapter on completely randomized design (CRD) presents an overview of its theoretical principles, structure, and randomization methods. It includes the mathematical modeling of CRD and the analysis of ANOVA tables. Additionally, the chapter facilitates an understanding of how to analyze CRD and factorial CRD data using R, offering valuable practical insights for research applications.

Completely Randomized Design

Completely Randomized Design is a type of experimental design commonly used in statistical analysis and research. It is applied under specific conditions:

• Homogeneous units: CRD is suitable when the experimental units are consistent and uniform across the study area.

• Adherence to experimental design principles: This design conforms to two principal aspects of experimental design i.e. Randomization and Replication.

• Flexibility in replication: It allows for both equal and unequal replication of treatments within the experimental setup.

• Suitable for controlled environments: CRD is particularly effective for experiments conducted in greenhouses or laboratories, where conditions can be tightly regulated

This chapter provides a comprehensive overview of the randomized block design (RBD), detailing its theoretical concept, layout, and a detailed segment on pooled ANOVA concepts. It explains the mathematical models for RBD and how to interpret the results from ANOVA tables in this context. The chapter also offers step-by-step guidance for analyzing RBD, Factorial RBD, and pooled RBD ANOVA using R.

Randomized Block Design

The RBD is a widely used experimental design in statistics and research, particularly when dealing with certain specific conditions:

• Homogeneity within blocks: RBD is ideal when there is inherent variability in the experimental units, but this variability can be grouped into homogenous blocks. Each block contains a complete set of treatments, and the blocks themselves account for the variability.

• Principles of experimental design: RBD adheres to the core principles of experimental design, namely randomization, replication, and local control. Randomization is used within blocks to assign treatments, ensuring that the comparison of treatments is fair.

• Replication across blocks: In RBD, each treatment is replicated across different blocks. This replication enhances the reliability and robustness of the experimental results.

• Managing uncontrolled variability: RBD is particularly effective in field experiments or situations where external variability (e.g., soil type, light conditions) cannot be completely controlled. By grouping similar units into blocks, RBD effectively reduces the impact of this uncontrolled variability on the treatment effects.

• Improvement in experimental accuracy: The use of blocks to organize the experimental units usually leads to a reduction in the error variance compared to CRD. This enhances the accuracy and precision of the experiment.

In this chapter, we explore Latin square design (LSD), a specialized form of experimental design renowned for its efficiency in controlling variation. This chapter thoroughly discovers the foundational principles, structure, and application of LSD in experimental research. It details mathematical models for LSD and guides readers through the interpretation of ANOVA tables. Furthermore, the chapter provides a systematic approach to conducting LSD analysis using R software.

Latin Square Design

The LSD is a statistical design used extensively in experiments, especially when specific conditions are met:

• Controlled variation in two directions: LSD is particularly suited for experiments where variation can be controlled along two different factors. This design structures the experimental units into a square matrix, allowing two sources of variability to be accounted for.

• Adherence to experimental design principles: Like other designs, LSD follows the key principles of randomization, replication, and local control. Randomization in LSD is applied within the rows and columns of the square matrix, ensuring unbiased treatment comparisons.

• Efficient use of resources: LSD allows for an effective utilization of resources by controlling two variables simultaneously. This makes it a more efficient design compared to RBD or CRD when there are two sources of nuisance variables.

This chapter focuses on split plot and strip plot designs, essential tools in experimental design known for effectively handling complex experiments. It covers the key principles and applications of these designs, emphasizing how they can be used to address specific research challenges. The chapter also provides practical guidance on conducting analyses of split and strip plot designs using R software, making it a valuable resource for researchers seeking to apply these methods in their work.

Split Plot Design

The split-plot design is a statistical approach widely used in experiments where specific conditions apply:

• Hierarchical arrangement of treatments: This design is ideal for experiments involving two levels of experimental units, typically “whole plots” and “subplots.” The main treatments are applied to the whole plots, while the sub-treatments are applied within these to the subplots.

• Adherence to experimental design principles: The split-plot design follows the principles of randomization, replication, and local control, but with a hierarchical twist. The main treatments are randomized across the whole plots, and the sub-treatments are randomized within these main plots. • Resource management in unequal experimental conditions: This design is particularly useful when some factors require larger experimental units or when changing levels of one factor is more resource-intensive than changing levels of another factor.

In this chapter, we will explore multiple comparison tests, with a particular emphasis on three significant tests: least significant difference (LSD), Bonferroni, and the techniques to visualize their outcomes. We aim to facilitate a comprehensive understanding of how to conduct and interpret the results of these comparison tests visualization using the R software.

Treatment Comparison

The “doebioresearch” package is commonly used for testing the significance of treatment groups in various experimental designs such as randomized block design (RBD), completely randomized design (CRD), and least significant difference (LSD). This package excels in conducting multiple comparison tests like LSD, Duncan’s multiple range test (DMRT), and Tukey’s honestly significant difference (HSD). It efficiently calculates all comparisons in the background, resulting in the generation of only group labels, as previously demonstrated in the output of the “doebioresearch” package. Additionally, the “agricolae” package is another useful tool that provides detailed values for multiple comparison tests. These three tests—LSD, DMRT, and HSD—are particularly popular in agricultural experiments and form the focus of our discussion.

I. Least significant difference (LSD) test

• To conduct the least significant difference test for comparing treatment means, the “agricolae” package is essential.

• To install the “agricolae” package, use the following code:

• install.packages (“agricolae”)

• After installation, activate the package with this command:

• library (“agricolae”)

• The data frame required for analysis in this context remains consistent with what is needed for randomized block design (RBD), completely randomized design (CRD), LSD, and variability analysis, among others. As an illustration, consider an example involving variability analysis.

1.1 GENERAL DESCRIPTION

There is a folk tale from India which is mentioned under relevant situations. This tale teaches how different perspectives lead to different points of view. The tale of the blind men and an elephant originated in the ancient India, from where it has been widely spread to different parts of the world. This famous ancient tale mentions about six blind men who had never come in contact with an elephant during their lifetime and who know and visualize what the elephant appear like by touching it and feeling. In the tale it is highlighted that every blind man touches a different part of the elephant's huge body, but only one part, such as the leg, ear, tail, body or the tusk. These blind men then go on to narrate about the elephant on the basis of their touch and feeling and their recount of the elephant varied widely from each other. They were told that elephants could trample forests, carry huge loads and is very big in size. The six blind men were taken to the elephant and asked how it look like (Fig.1.1). The first blind man reached out and touched the side of the huge animal. "An elephant is smooth and solid like a wall!" he declared. "It must be very strong and powerful." The second blind man put his hand on the elephant's trunk. "An elephant is like a giant snake," he said. The third blind man felt the elephant's pointed tusk. "I was right," he decided. "This creature is as sharp and deadly as a spear." The fourth blind man touched one of the elephant's big ear and announced "I believe an elephant is like a huge fan or may be a magic carpet that can fly over mountains and treetops". The fifth blind man touched one of the four legs. "What we have here," he said, "is pillar of a house." The sixth blind man gave a tug on the elephant's coarse tail. "Why, this is nothing more than a piece of old rope and it appeared to him dangerous, indeed”.

2.1. GENERAL DESCRIPTION

Forests covered only 31 per cent of the land in the world in 2011, while land used for agriculture, (cultivable land, perennial crops and pastures), covered 38 per cent (FAO 2011). In the history of humankind, agriculture is a recent invention (Mazoyer and Roudart, 2005). With the transition from the huntergatherer lifestyle to one of agriculture during the Neolithic Revolution, farmers quickly expanded their activity into forest areas. They developed shifting cultivation, an agricultural practice with temporal rotations in forest ecosystems. Shifting cultivation still exists today in tropical regions and is the livelihood basis for hundreds of millions of people (Mertz et al., 2009). The range in the population estimate is extremely wide, because of difficulties in counting smallholders spread out under the tree canopy at the margins of tropical forests, as also due to confusion that exists in differentiating shifting cultivators from other farmers involved in small-scale agriculture (Thrupp et al., 1997).

3.1 GENERAL DESCRIPTION

Indigenous communities depending mainly on hunting, collection of food from the forests and managing natural resources to meet their requirements, have lived intimately with nature. Shifting cultivation has helped these communities to earn their livelihood for centuries to become to be food secure. Besides being a source of subsistence, the shifting cultivation has also been a repository of agro-biodiversity. Not considering this, the authorities have tried to impose the practice of intensive agriculture on indigenous people for conversion to mainstream agriculture (Singh et al. 2016). The way of life of indigenous people has been grossly impacted by the stress of market oriented development, government schemes, and interventions by some NGOs. The ‘dimensions of shifting cultivation’ not only includes the area under shifting cultivation and the number of shifting cultivators in the world but, various forms, shapes, methods and other aspects of the practice on spatial and temporal basis as well (Fig. 3.1).

4.1 General description

Most temperate forest habitats support a small number of animal and tree species with wide geographic distributions, whereas the montane forests support a large number of species with narrow geographic distributions. "For mankind's most prevalent disease, we have a multiplicity of diagnoses, each provided with maximum casualness," Prof Galbrith writes in one of his publications. Poverty is a difficult situation to be in. It would be beneficial if we knew what was causing the problem. Obviously, there isn't a single answer. Many explanations are presented because they include a small amount of truth. However, one reason of poverty is pervasive: the historical or present link between land and people. Food, clothing, and shelter are all provided by the land. Poverty exists if these are not available." This statement by Galbrith, which is relevant for shifting agriculture areas with excessive rains and turbulent rivers, summarizes the genesis and cause of every responsible individual's considerable worry for good land management and soil maintenance. To round out the aspects of this issue, there is need to add 'environment' and 'ecology’ to this.

5.1 GENERAL DESCRIPTION

As more is discovered about tropical soils, shifting cultivation has gained popularity as a symbol of change and showing "ingenious adaptations to unfavourable environments, based on a remarkably complete knowledge of local ecology and soil potential" (Allan 1972). The acidic tropical soils are found in about one billion ha of land in the World. Out of this, about 700 million ha of land is in the high rainfall tropics and, 300 million ha in the savanna, and practically all of it is in developing countries (IBSRAM 1987). The shifting cultivator lives in a humid tropical area with acidic soil. The use and protection of the forest to restore soil fertility is "at the heart of every agricultural system," and the tropics' swiddeners have devised a way that works (Benneh 1972). The integrated swiddener prefers field locations with existing mature forest, either "primary" or "secondary," because it recognises that it is vegetation which supply nutrients to the crop (Dove 1983a; Allan 1965; Rambo 1983; Posey 1983). The availability of nutrients to food crops increases after a burn, but these nutrients fast deplete due to leaching and erosion (Nye and Greenland 1960 and 1964). Nye and Greenland (1964) discovered the soil within the shifting cultivation to be quite variable due to fallen timber, termite mounds, and irregular ash distribution following the burning. These differences will be used to create microsites that will be planted with various crops based on the swiddeners' understanding of which crops benefit from rich soils and which are unaffected by poor soils. The field is left fallow after the cropping cycle is completed (typically 1 - 4 years), while tree crops may be harvested for years. If the site is not utilised for a long time, it will recover its fertility; if it is used too soon, degeneration will occur. It may be difficult to detect degeneration, particularly if it occurs gradually over multiple generations. It's especially tough with Shifting cultivators since they "look to be so self-sufficient, so well integrated with their surroundings" (Street 1969). The assumption is that the longer the land is left fallow, the greater the soil recovery will be. The system should be sustainable if extended fallows can be maintained. Shifting cultivators’ response to the requirement to produce food without using manures, fertilisers, or alluvial deposition is soil replenishment by fallowing (Greenland 1974). The technique works if a long fallow time is maintained; if the fallow period is shortened, soil fertility falls. Shifting agriculture is considered environmentally sound while population pressure is mild, but it is environmentally damaging when land scarcity precludes a long enough fallow interval to recover soil productivity. It's crucial to distinguish between traditional shifting cultivation and shifting agriculture in a state of disequilibrium (Watters 1971).

6.1 general description

Between 13,000 and 3,000 BC, Neolithic period, mountain people in Asia, Africa, and Latin America have practiced shifting cultivation (Mazoyer and Roudart 2006). A cultivation phase, consisting of removing forest and crop production for 1 to 3 years, is followed by a fallow phase, in which agriculture is discontinued to allow soil nutrients to recoup (Conklin 1961). Conklin (1961) distinguished between total and partial shifting cultivation. Pioneer shifting cultivation, in which primary or apex forest is cleared annually, and replaced by shifting cultivation, which entails clearing mostly secondary forests, are both essential forms of cultivation that are primarily practised for farmers' subsistence. Partial shifting cultivation, on the other hand, is done as a supplemental or temporary activity (Conklin 1961). Throughout history, indigenous peoples have used fire to manage their land and natural resources. Pastoralists and hunters-gatherers in Africa's savannas, for example, have used fire to preserve the ecosystem's productivity for livestock and game for millennia (McClanahan and Young 1996). In pre-colonial times, indigenous peoples in North America also significantly altered the landscape, establishing and preserving pastures and open forest savannas through regulated burning (Pyne 1982, cited in: Schneider 2000).

7.1 General Description

Shifting cultivation is a type of land use that dates back to the dawn of agriculture. It's done in places where forest resources are still plentiful. It usually refers to the gradual transformation of primary forests into a mosaic of secondary forests at varying stages of growth, rather than the complete abolition of forests. However, primary forest removal occurs gradually in order to preserve the same fallow time despite population development. As no primary forests remain (or as the remaining primary forests are entirely protected by local customs or conservation legislation), secondary forests fade away, and new techniques arise or are adopted, the fallow period shortens. Natural capital is gradually replaced by man-made productive capital, or the system approaches a state of crisis, depending on whether the limitations to these changes can be levered. In theory, the new land uses allow for more forest protection because they require less territory to provide the same output. In practice, they are triggered or triggered by a series of more radical changes, such as infrastructure development, migrations, financial investments, and new consumer habits, all of which frequently end in large-scale deforestation.

8.1 General Description

Based upon ethnic values and culture, both private and common property land tenure regime is found in existence in the shifting cultivation system. In Odisha state of India, shifting cultivation locally called as podu, there exists both private and common property regime (Dash 2006). In case of Meghalaya state, while the private land ownership pattern does exist among the Khasi and Karbi tribes, the Garo tribes, on the other hand, resort to community land ownership pattern (Deb et al., 2013). Furthermore, an ethno-agrarian economy based on shifting cultivations is self-sufficient, and such shifting cultivators typically rely on outside sources for alleviation of their economic demands very infrequently, if at all (Gupta 1994). The use of human labour is the key input in the shifting cultivation system and the practice of mutual exchange of labour amongst these shifting cultivator communities is also not uncommon. In practices like harvesting, the groups of families join hands together to harvest the crop of each plot one by one. This practice of community labouring reduces drudgery and increases work productivity. During this harvesting time, it is said that farmers exchange their innovations and look at each other’s innovations as they work. Further, it is customary to arrange food and drinks by the family of the plot which is being harvested. The community recognizes these harvest periods as festive events which makes their work enjoyable. The case of village named Nawalparasi, Nepal, shows that shifting cultivators work in an innovative way in their community in which the part of the village land is set aside and is cultivated by the members of whole community jointly. The benefit they harvest from this area is used to fund for teachers’ salaries in community school (kerkhoff and Sharma 2006). Further, the close knit and kinship ties are not only necessary for labour sharing but also important for technology diffusion among the members (NAEB 2008). The division of labour exists between men and women. It varies from place to place. The Manipur shifting cultivation characteristics portray that the women predominate in seed selection and planting, weeding and other operations, the activities like cutting of the trees in jungle, clearing, burning are generally done by men Both men and women participate in harvesting of produce and so harvested produces are carried to the villages by head loading.

 

9.1 General Description

Education can help farmers in impoverished nations move away from environmentally damaging slash-and-burn agriculture (Nganje et al. 2001). The goal of their study was to see how much extension education can help people embrace agricultural strategies other than slash and burn. In Cameroon, farmers' cropping patterns are modelled as a function of farm size, farmer educational level, and extension professional visits, whether slash and burn, varied crops, or monocropping. According to the data, higher extension visiting rates reduce not just the risk of farmers choosing slash and burn agriculture, but also encourage them to switch to monocropping. Because monocropping is a trend toward export-oriented agriculture in Cameroon, it may help to promote greater economic development in Western Africa (Nganje et al. 2001). Continued extension education activities are therefore vital in decreasing the environmental damage caused by slash and burn agriculture while also encouraging the adoption of more profitable cropping strategies.

The negative impacts of shifting cultivation on the environment as farmers strive to provide for higher populations and the associated decline of shifting cultivation into an unproductive system have led most governments in Southeast Asia to perceive it as a backward method of cultivation (Thanh and Vien 2017). Consequently, governments throughout the region have tried to ban shifting cultivation. In Malaysia, for example, huge development programmes have been implemented to improve shifting cultivators livelihoods when they abandon shifting cultivation (Majid, 1983). The government of Laos has enacted land-use and forestry policies aiming at expanding forest cover, eliminating shifting farming, and supporting intensive commercial agriculture (Castella et al., 2013). For many years, the Vietnamese government has implemented strict rules and procedures to combat shifting cultivation. These include a large-scale programme called 'Fixed Cultivation, Fixed Residence' (officially known as Resolution No. 38/CP), which aims to permanently settle 'shifting fields' and 'shifting people' (McElwee, 2004), as well as a forestlandallocation policy that ties people to specific plots of land, effectively making shifting cultivation impossible (Castella et al., 2005).

10.1 General Description

The soil, water, and biodiversity of the land make up a complex composition. Together, these three components produce goods and services that lay the groundwork for people to live sustainably and in peace with one another. Yet an estimated 3.2 billion people's security, livelihoods, and health are at stake due to land degradation. Any decrease or loss in the biological or economic productive capability of the land resource base is referred to as "land degradation." Natural processes contribute, but humans are primarily to blame for the harm. Degradation is frequently intricately connected to biodiversity loss and the effects of climate change.

Restored lands provide access to clean water, reduce erosion, preserve livelihoods and biodiversity, create forest products, and supply biomass fuel. Trees in agricultural environments can enhance soil fertility, hold onto moisture, and boost food output. Trees and forests slow climate change by storing carbon; intensive restoration efforts may lead to a reduction in the atmospheric concentration of carbon dioxide. Restoration can assist communities in adjusting to the effects of climate change by ensuring water supplies or reducing the effects of severe storms.

Plant cultivation was only a modest activity of primarily nomadic populations in the second millennium BC, and it had little impact on the vegetation. After 0 BC/AD, sedentary civilizations created enormous settlement mounds, and on the dunes, a shifting agricultural system with fields and fallows was constructed. Park savannas, an agroforestry system with protected wild fruit trees scattered throughout the fields, were used for cultivation (Höhn and Neumann 2012). Extensive farming with protracted fallow periods was conducted during the first millennium AD. The composition of the woody vegetation changed as fallow seasons shrunk and the impact of cattle herding on the vegetation increased towards the start of the second millennium AD. The substantially lower species richness of the contemporary woody forest was eventually brought about by declining precipitation and anthropogenic pressure (Höhn and Neumann 2012).

Statistics has originated as a science of statehood and found applications slowly and steadily in Agriculture, Economics, Commerce, Biology, Medicine, Industry, planning, education and so on. Sir Ronald A. Fisher, (1890 – 1962), who is called “the Father of Statistics”, drew many solid conclusions

1.2 Definition

Statistics is the science which deals with the collection of data, organisation of data (or) classification of data, presentation of data, analysis of data and interpretation of data, which are known as the statistical methods.

“Statistics is the science, technology and art of creating new knowledge.”

–RA Fisher.

“By statistics we mean, aggregate of facts affected to a marked

extent by multiplicity of causes numerically expressed enumerated or

estimated according to reasonable standard of accuracy collected in a

systematic manner for a predetermined purpose and placed in relation

to each other.”

– Professor Horace Secrist

Number line

Every real number occupies a position on the number line and conversely,

every point of the line can be matched with a real number.

Absolute value

The absolute value of modules of a number is equivalent to the value of that

number ignoring the sign. For example, the absolute value for -1 is 1, and the

absolute value of +1 is also 1.The absolute value is defined by the symbol

?x?.

Computers: Input and Output Devices

3.1 Input Device

Input devices are the pieces of hardware that allow to enter or input data into

a computer.

Keyboard

• A computer keyboard serves as a data input device.

• A keyboard is a device containing keys, each of which denotes an

alphabet, number, or number instruction that may be served to a computer

to do multiple tasks.

• The keyboard is a significant input device, both computers and laptops

use keyboards to enter commands into the computer.

Mouse

• Mouse is a pointing device.

• The mouse is used to open various files and programs by directly clicking

on the various icons on the system.

• A mouse has three buttons on top and one trackball on the bottom, which

are used to select and move the mouse.

• A touchpad is provided as an alternative for the mouse on laptops, which

aids in mouse pointer movement.

4.1 Principles of Economics

• ‘Economics’ word derived from two Greek words, oikos (a house) and

nemein (to manage) means ‘managing an household’

• Microeconomics: Study of the behavior of individual, small, isolated

and disaggregated units.

• Macroeconomics: Study of groups and broad aggregates of the economy.

• Adam Smith wrote the book- “An Enquire into the Nature and Causes of

Wealth of

• Nations” or in short “Wealth of Nations” in 1776.

• Adam Smith is known as father of modern economics.

4.2 Wealth Definition - Adam smith

• Adam smith (1723 - 1790), in his book “An Inquiry into Nature and

Causes of Wealth of Nations” (1776)

4.3 Welfare Definition - Alfred Marshall

• Alfred Marshall (1842 - 1924) wrote a book “Principles of Economics”

(1890)

• Alfred Marshall defined “Political Economy” or Economics is a study

of mankind in the ordinary business of life; it examines that part of

individual and social action which is most closely connected with the

attainment and with the use of the material requisites of well being”.

4.4 Scarcity Definition - Lionel Robbins

• Lionel Robbins published a book “An Essay on the Nature and

Significance of Economic Science” in 1932.

• Robbins defined, “economics is a science which studies human behaviour

as a relationship between ends and scarce means which have alternative

uses”.

The incidence of mammary tumor accounts for 25% of all the recorded tumors in dogs worldwide. Overall, about 198 cases of CMT are recorded per one lakh female dogs annually throughout the world which is quite an alarming percentage (Gray et al., 2020). Malignancy has also been recorded up to 45% which increases the fatality among morbid cases. Epidemiology of CMT is poorly documented particularly in India. In an epidemiological study conducted on canine tumors in Jammu in 2018, the overall prevalence was only 2% over a period of one year. The malignant tumors accounted 41.66% of the mammary tumors (Sharma et al., 2018). The rate of benign and malignant tumors incidence was reported as 46% and 54%, respectively. In another study conducted on the incidence of CMT in Ludhiana (Punjab) in 2020, it was found that 33.96% tumors were benign and 66.03% were malignant (Dash et al., 2020).

6.1 Age

Age is one of the most important risk factors for developing mammary tumors in dogs. A comprehensive study carried on dogs has found that the risk of mammary tumors become significant by 8 years of age and increases linearly thereafter. The age of onset of tumors, however, may vary depending on the life span of the dog breed. An average age of CMT onset is 8-11 years, indicating as a condition of the middle-aged or older dogs. Mammary tumors are generally rare in dogs under 3 years of age, unless the dogs have been given exogenous hormones such as progestins

6.2 Breed

Most consistently listed breeds in which mammary tumor occur include, English springer spaniel, Brittany, Cocker spaniel, English setter, Pointer, Afghan hound and German shepherd, in addition to the smaller breeds such as Poodle, Maltese, Chihuahua, Beagle, Dachshund and Terriers. These studies clearly show that the risk for mammary tumors has some breed association and, therefore, having a genetic component. Pure breeds of dogs are generally at a greater risk i.e., known to account for 80% of the submitted cases. Some studies have further shown that certain lines within specific breeds are at more risk than others.

There are countless biomarkers present in cells related to and determining the progress of a disease. Identifying these markers could aid in detecting cells with metastatic potential (Ramaswamy et al., 2003).

The elevation of cyclo-oxygenase (Cox-2) expression was observed in CMT cases through enzyme immunoassay (Queiroga et al., 2005). In further study, enhanced expression of BRAC1and BRAC2 genes, certain enzymes such as matrix metalloproteinases (MMP-2 and MMP-9) by immunohistochemical examinations, and Bcl-2 & Bcl-XL elevated level in dogs with mammary neoplasm have been reported by Queiroga et al. (2011b).

A thorough history with complete physical examination including careful palpation of the mammary glands should be performed. As there are chances that dogs may be suffering from any other systemic ailments during middle to old age. In dogs with multiple tumors, all tumors should be excised and their location and size should be noted. Histopathological examination of the excised tumors should be carried out to classify mammary gland tumors. Mammary tumors are classified based on some of the parameters i.e., tumor size, lymph nodes, metastasis. Therefore, to stage a dog with mammary tumors information of these parameters needs to be collected and recorded. If lymph nodes are palpable and/or clinically enlarged, fine-needle aspiration should be performed for cytological evaluation. The technique is less invasive but with higher accuracy. Thoracic radiographs remain the mainstay for diagnosing the metastatic condition. The mammary tumors most commonly metastasize into lungs in dogs. The staging of CMTs becomes necessary as it is likely to confer some prognostic significance and provide guidance to veterinarians to make treatment decisions.

Surgical removal is the routine treatment method for mammary tumors, however, there is no consensus on the optimal procedure. There are supporting factors for every surgical procedure conducted for mammary tumors including lumpectomy (removal of tumor only), mastectomy (affected gland removal only), radical mastectomy (complete mammary gland and associated lymphatic tissue removal) and modified radical mastectomy (removal of complete mammary gland, lymph nodes and associated chest muscles).The more extensive procedures do not increase survival in dogs when compared to the other procedures, and the benefits of the simpler procedures are clear. Further, the radical mastectomy increases the disease-free interval but not the survival duration in cats.

In addition to the conventional treatment methods i.e., surgery, chemotherapy and radiotherapy, there are some adjuvant targeted therapies which block the growth of cancer by altering the individually expressed specific molecules responsible for tumor cell proliferation, survival, metastasis or microenvironment. The majorly studied adjuvant therapies include use of hormones, tyrosine kinase receptors, anti-cyclooxygenases, anti-tumor suppressor gene p53 and epithelial-mesenchymal transition inhibition.

The main aim of hormonal therapy (Table 2) is to inhibit the hormone induced stimulation of carcinoma cells, which could be achieved either by ovariohysterectomy or different treatments like use of specific estrogen receptor modulators (SERMS), aromatase inhibitors for suppression of estrogen synthesis etc. A commonly used estrogen receptor (ER) antagonist drug tamoxifen for treatment of ER positive breast cancer in women, has also been tested against CMTs. However, it is not a viable treatment option in dogs due to associated side effects. Ovariohysterectomy is considered as a better and practical solution. The use of hormonal therapy in CMTs is based on the evidence of hormone dependency of these tumors as well as lessons learnt from hormonal therapy outcomes from human breast cancer. This therapy significantly ameliorates the recurrence of breast cancers and prolongs the survival rates in women having breast cancers positive for hormone receptors. However, the results of the canine investigations, which are all retrospective and non-randomized, are contradictory. Detailed research and prospective randomized trials, where effect of OHE is studied in context of hormone receptor status, are required to determine the role of hormonal therapy in CMTs.

One of the most promising areas of veterinary research these days is cancer immunotherapy and the development of CMT vaccines. DNA vaccines, also known as gene vaccines, are designed to transfer functional genes to target cells, allowing them to express functional proteins. Because endonucleases may easily access bare DNA, it requires a reliable and safe delivery route, which might be biological or non-biological. Different delivery strategies have been tried in human breast tumors to transport tumor antigens such Mucin-1 (MUC-1), Twist, HER-2, mammaglobin-1 and p53, as well as immunostimulatory molecules like IL-12 and IL-6. There have been various studies/ trials in canine animals using different molecules like IL-12, HER-2 and IFN-γ as vaccine candidates, with no clinically relevant outcomes or longlasting cell mediated and humoral immune response outcomes

Although there have been multiple biomarkers for mammary tumors both in human and canines reported over the time (Table 3), but no absolute biomarker for diagnosis and prognosis of CMT has been found yet. Out of several studies on clinical applications of different mammary tumor biomarkers, some showed a particular promising biomarker, on the other hand controversial results also existed for the same. For example, HER-2, which is one of the most prominent bio-marker both in HBC and CMT. HER-2 overexpression is associated with poor prognosis and reduced overall survival of the subject, but there are studies available which suggest no difference in HER-2 expression between benign and malignant tumors and studies showing HER-2 expression suggesting prolonged survival (Kaszak et al., 2018). Various biomarkers of mammary tumors are not mammary tumor specific such as p53, COX-2, PCNA etc. These markers undergo alterations in their expression level in all tumors. By keeping this in mind we need to device a panel of different markers to ensure the correct prognosis and diagnosis of canine mammary tumors. There are limited studies and only few commercial kits (for human) available using such combinations (Table 4).

In GADVASU, under the DBT sponsored project on “Development and evaluation of serodiagnostic assay for timely diagnosis and prognosis of mammary tumors”, we have generated and used hyper-immune sera raised against certain canine recombinant mammary tumor associated proteins for the standardization of sandwich and indirect ELISA for serodiagnosis of canine mammary tumor. The sensitivity and specificities of the assay’s ranges between 85-88% and 80-85%, respectively. However, an antibody against a single marker when used for different histotypes of CMT, its specificity reduced significantly. Multiplex assays are capable to detect many specific antigens in a single run whereas a traditional ELISA is used only to detect a single antigen. It has high-throughput potential, providing more results per sample, with lower sample volumes and with utmost sensitivity and specificity. Attempts are being made to increase the sensitivity and specificities of the assays by multiplexing various markers together (Fig.4).

Mammary tumors are the most common type of neoplasia found in female dogs with high percentage of malignancy and rate of mortality. The rate of incidence of these mammary neoplasia and dysplasia is continuously advancing nationally and internationally over the last 45 years. There are different risk factors such as age, diet, hormonal exposure and breeds, which are required to be monitored in order to control the incidence of CMTs. In addition to conventional therapies such as surgical excision, radiotherapy and chemotherapy, additional precision therapeutic agents targeting TKIs, p53 tumor suppressor gene, cyclooxygenases, epithelial-mesenchymal transitions and various hormones/ hormonal receptors could be beneficial for the treatment of CMTs. Scientific efforts are also being made to develop different biomarker panels and tests for prognosis/diagnosis of the diseases as well as to develop vaccines against CMTs.

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(2012). Circulating cell-free DNA: a promising marker of regional lymphnode metastasis

in breast cancer patients. Cancer Biomarkers 11 (2-3), 89-98.

Badowska-Kozakiewicz A. M., and Malicka E. (2012). Immunohistochemical evaluation of

expression of heat shock proteins HSP70 and HSP90 in mammary gland neoplasms in

bitches. Polish Journal of Veterinary Sciences 15 (2), 115-18.

Beffagna G., Sammarco A., Bedin C., Romualdi C., Mainenti M., MolloA. and Zappulli V.

(2017). Circulating cell-free DNA in dogs with mammary tumors: short and long fragments

and integrity index. PLoS One 12 (1), e0169454.

Birdi R., Kumar B. S., Gupta K., Kashyap N., & KumarA. (2019). Circulating level of heat

shock protein 27 is elevated in dogs with mammary tumors. 3 Biotech 9 (6), 1-9.

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A

Adenocarcinomas 3, 7

Adenomas 7

ALDH1 17, 18

Anaplastic carcinomas 7

B

Babesiosis 1

Bcl 17, 21, 23

Benign tumors 3, 5

Biomarkers 17, , 29, 30, 31

BRCA 31

C

Canine 1, 2, 5, 7, 8, 9, 10, 11, 12, 13, 17, 19,

19, 22, 23, 24, 27, 29, 30, 32, 33, 34

Canine distemper 1

Canine Mammary Tumors 1, , 5, 7, 8, 13, 17,

19, 29, 32, 33

Canine parvoviral diarrhoea 1

Carcinogenesis 10, 25

CHEK2 15

Classification and Grading 7

Companion animals 1, 9

COX inhibitors 21, 26

Cyclooxygenases 23, 26, 35

D

Deracoxib 21, 26

Diagnosis 19, 20

Doxorubicin 21

E

EMT 17, 25

Epidemiology 11

Estrogen receptors 20

FGFR2 15

4H: An agricultural club for children that features hands-on learning

Abiota: The nonliving component of an ecosystem, including the soil, water,

and air.

Aborigines: The original or native inhabitants of a country or region.

Absorption Losses: Loss of water from a canal or a reservoir by capillary

action and percolation and in case of canal during the process of delivery.

Absorptive capacity: The maximum amount of waste that can be absorbed

by the environment.

Acclimation: Adaptation to changing or new conditions.

Acid precipitation: Rain, snow, fog, or dew containing sulfuric and nitric acids

produced by fossil fuel combustion.

Acid soil: A soil which is deficient in available bases, particularly Ca and which

give an acid reaction when tested by a standard method.

Acre foot water: The amount of water that would cover an area of land to a

depth of one foot assuming no seepage evaporation and run off.

Acre inch day: Term used principally in irrigated section of united state for

measuring quantity of flow of water. It is equal to a flow which will cover

one acre to a depth of one inch in a 24 hours period or 0.042 cubic feet per

second.

Acre inch: It is a measure of quantity of flow of water and is equal to the flow

which will cover one acre to a depth of one inch.

Acre: (43560 sq. ft) an area of land about 220 feet long and 198 feet wide.

Active solar heating: The use of solar panels to collect and concentrate the

sun’s energy for heating.

Adaptation: Biological modification that allows species to better exist in a

specific environment.

Additives: Chemicals added to food, often con- sidered to represent a threat

to human health.

The concept of gender, distinct from biological sex, serves as a lens through which societies organize individuals and define roles, expectations, and relationships. Gender is not merely a matter of identity but an intersectional construct shaped by cultural, social, economic, and political influences. It reflects how different societies understand and express masculinity, femininity, and other gender identities, often dictating the power dynamics, opportunities, and constraints placed on individuals.

The understanding of gender has evolved significantly over time. Initially, it was viewed as a binary construct aligned strictly with biological sex; however, modern perspectives recognize gender as a fluid and dynamic concept, shaped by individual experiences, social interactions, and institutional norms. This evolution has brought about greater recognition of diverse gender identities, challenging traditional binaries and expanding the conversation to include non-binary, transgender, and gender non-conforming identities.

At the heart of gender are the societal structures that enforce roles and expectations. These structures differ across cultures and historical periods but commonly emphasize the division of labor, power, and resources between men and women. Gender not only influences individual identity but also informs how societies function, shaping everything from economic participation to political representation.

2.1Introduction

Agriculture includes both self-employment and wage employment. This require precise information about who does what. Majority of farmers have small Land holding and landless labourers. This needs understanding of activity performance of men and women. Gender-based division of labour is universal, but culture and community diversities cause differentiation. Gender, therefore, has to be recognized as the social characteristic that cuts across caste, class, occupation, age and ethnicity. It is gender that differentiates the roles, responsibilities, resources, constraints and opportunities of women and men in agriculture for which precise gender information is the need of the day. Building gender into agricultural development will lead to: Building inherent strength of women and men to mutually learn, Overcoming gender based prejudices etc.

2.2

Importance of Gender in Agriculture Agriculture play an important role in livelihoods of the rural poor and achievement of the Millennium Development Goals (MDGs). Agriculture can be the engine of growth and is necessary to reduce poverty and food insecurity. The changes in Agriculture sector generate new sources of opportunities for livelihoods and food security, they also pose significant qualms. Equity distresses are being raised.

1.1 Introduction

Gender permeates every facet of society, influencing power dynamics, access to resources, and opportunities. Understanding gender requires not only defining its conceptual framework but also acknowledging how these concepts manifest in everyday life, often creating deep divisions. Gender divides whether in education, employment, health, or political participation are enduring realities that reflect the unequal distribution of opportunities and rights between men and women, as well as between those who identify beyond the binary. These divides are more than social phenomena; they have concrete economic, political, and developmental impacts. Recognizing the persistent gaps in access and outcomes between genders has led to the development of gender-sensitive policies, such as gender budgeting. Gender budgeting is a critical tool for addressing these divides by ensuring that public resources are allocated equitably to benefit all genders. By focusing on the differential impacts of policies and budgets on women, men, and gender minorities, governments and organizations can work toward creating more inclusive and fair societies.

This chapter will introduce key gender-related concepts that form the foundation for understanding how gender influences social, economic, and political life. It will explore the roots and ramifications of gender divides across various sectors and explain how gender budgeting is employed as a strategic approach to reduce these disparities. Through this exploration, we will highlight the importance of integrating gender perspectives into policy and resource distribution to foster equity and social justice.

2.1 Gender Analysis

Inequalities between men and women are becoming more visible and glaring particularly in developing countries of the world triggering serious concern over developed experts. UNESCO statistics reveals that women perform 75 per cent of work, earn 10 per cent of the income and own 1 per cent of property. The 3rd UN Millennium Development Goal (MDG) has called for gender equality and the components of women to battle poverty, hunger and disease and to restorative development that is precisely sustainable.

The Beijing Platform for Action (1995) very well support this fact in form of twelve objectives and action points viz., women and poverty, education and training for women, women and health, violence against women and armed conflicts, women and the economy, women in power and decision making, institutional mechanism for the development of women, human rights of women, women and media, women and environment, and the girl child. Prior to the above declaration there were First, Second and Third World Conference on Women at Mexico (1975), Copenhagen (1980) and Nairobi (1985), respectively.

3.1 Introduction

To remove the inequality in technology development and its use, the concept Gender and technology arises. Economic resources should be equally distributed among the men and women. Technology can also help challenge and break gender stereotypes and biases that often limit women's potential. First of all, much equipment tends to be gender-typed. There are machines and tools suitable" for men as saws, trucks, wrenches, guns and forklifts. Some other technologies are "suitable" for women as vacuum cleaners, typewriters and food processors. The main focus of year 2023 is on innovation and technology for gender equality. Innovation and technological change are deep shifts reshaping life in the twenty-first century. Technological progress allows for unprecedented advances with the potential to improve social, economic and political outcomes for all.

 

1.1 Introduction

Gender mainstreaming, a concept that emerged from international frameworks and global development agendas, is a strategy aimed at achieving gender equality by integrating gender perspectivesinto allstages of policy-making and organizational practices. Originating from the recommendations of the 1985 Third World Conference on Women in Nairobi and formally endorsed at the 1995 Fourth World Conference on Women in Beijing, gender mainstreaming has evolved into a fundamental approach within international development efforts. It was adopted as a methodology by ECOSOC in 1997, marking a significant commitment across the United Nations system to advance gender equality goals comprehensively.

In essence, gender mainstreaming is not merely about inclusivity; it represents a proactive stance towards challenging and reshaping societal structures and ideologies that perpetuate gender disparities.

2.1 Introduction

Empowerment means change, choice and power. It is a process of change by which the individuals and groups with no power and ability to make choices that affect their lives. Women empowerment is a stage of acquiring power for women in order to understand right and to perform her responsibilities towards oneself and others in effective way.

Empowerment is a multi-faceted, multi-dimensional and multi-layered concept. Women's empowerment is a process in which women gain greater share of control over resources- material, human and intellectual [knowledge, information, ideas] and financial resources and control over decision-making in the home, community, society, nation and to gain `power'. According to the Country Report of Government of India, "Empowerment means moving from a position of enforced powerlessness to one of power". In this process, women should be empowered socially, economically, educationally and politically that can help them take Self-decision regarding education, mobility, economic independency, political participation, public speaking and awareness to exercise rights.

2.1 Introduction

Women entrepreneurs may be defined as the women or a group of women who take initiative to set up a business enterprise and to run it smoothly. According to Government of India, women entrepreneur is defined as an enterprise owned and controlled by a women and having a minimum financial interest of 51 per cent of the employment generated in the enterprise to women. Women entrepreneur are those women those women who generate business ideas or select the best opportunity, mobilize resources, combine the factors of production, undertake risks and operate the enterprise in the most effective manner with a view to earning profit.

The verb empower means to bestow power. Empowerment of women implies creating conditions for enabling the women to be motivated for task accomplishment by taking personal responsibility. In the context of empowerment through enterprise, empowerment of women involves access to resources and markets, actual ownership and active control. These factors act as the bullwork for empowering women through enterprise.

1.1 Introduction

The state of Uttarakhand was formed in November 2000. At the state level, it is the Department of Women’s Empowerment and Child Development that has overall responsibility for formulating and implementing schemes relating to Women’s Empowerment. As the nodal agency, the responsibility for preparing the Women’s Policy was given by the Government of Uttarakhand to Department of Women’s Empowerment and Child Development. Presently the Government of Uttarakhand is running various schemes/programmes through the different departments of the Government to bring about women’s development and their empowerment. For lack of an overarching policy that would have provided a common understanding and a unified vision, each department has defined and operationalized empowerment through its own prism and from its own perspective and understanding. In the case of some departments, the stated goal is not to bring about women’s empowerment, but rather, the emphasis is on bringing about their overall efficiency and economic development.