This document provides instructions for a laboratory work on variation and variability in plant species. It outlines choosing two populations of a species from different environments to observe and compare quantitative and qualitative morphological traits. Students are instructed to perform basic statistical analyses to test for significant differences between traits in populations and relate any differences to environmental adaptation. The document describes the structure of the laboratory work report and provides examples of quantitative and qualitative traits that could be observed and measured in the plant species Primula vulgaris.
Relationship between dental arch width and vertical facial morphology in unt...EdwardHAngle
The objectives of this study were to investigate if a relationship exists between dental arch width and the vertical facial pattern determined by the steepness of the mandibular plane, and to examine the differences in dental arch widths between male and female untreated adults. Lateral cephalograms and dental casts were obtained from 185 untreated Caucasians and measurements of arch width and mandibular plane angle were taken. The results showed that male arch widths were significantly larger than females and that as the mandibular plane angle increased, arch width decreased for both males and females. It was concluded that dental arch width is associated with gender and facial vertical morphology.
1. This document provides an overview of a course on advanced biometrics that includes topics like experimental design, data analysis, quantitative genetics, and statistical concepts.
2. It discusses different types of genetic studies including qualitative, molecular, and quantitative genetics. Quantitative genetics deals with inheritance of traits that can be measured and are influenced by many genes and the environment.
3. The document emphasizes the importance of quantitative genetics for studying economically important traits in crops, livestock, and other organisms. It also explains how quantitative genetics is useful for evolution, population, and selection studies.
The document discusses ecosystems and biodiversity in freshwater systems like lakes and rivers. It provides background on freshwater ecosystems, defining and measuring biodiversity at genetic, species, and ecosystem levels. It also discusses threats to freshwater biodiversity, with one in three freshwater species threatened. The document then focuses on the Vembanad wetland system, the largest backwater in Kerala, India. It provides details on its geography and construction of a barrage that altered the ecosystem. It discusses monitoring the critical water and sediment quality of the wetland to understand impacts on its biodiversity and production dynamics.
Natural history research as a replicable data scienceRutger Vos
Keynote presentation to the 2017 GARR conference, 17 November 2017, Venice, Italy. Introduction to natural history data types and analysis examples. Discussion of current practices in promoting reproducibility.
This slide explains term biostatistics, important terms used in the field of bio statistics and important applications of biostatistics in the field of agriculture, physiology, ecology, genetics, molecular biology, taxonomy, etc.
Relationship between dental arch width and vertical facial morphology in unt...EdwardHAngle
The objectives of this study were to investigate if a relationship exists between dental arch width and the vertical facial pattern determined by the steepness of the mandibular plane, and to examine the differences in dental arch widths between male and female untreated adults. Lateral cephalograms and dental casts were obtained from 185 untreated Caucasians and measurements of arch width and mandibular plane angle were taken. The results showed that male arch widths were significantly larger than females and that as the mandibular plane angle increased, arch width decreased for both males and females. It was concluded that dental arch width is associated with gender and facial vertical morphology.
1. This document provides an overview of a course on advanced biometrics that includes topics like experimental design, data analysis, quantitative genetics, and statistical concepts.
2. It discusses different types of genetic studies including qualitative, molecular, and quantitative genetics. Quantitative genetics deals with inheritance of traits that can be measured and are influenced by many genes and the environment.
3. The document emphasizes the importance of quantitative genetics for studying economically important traits in crops, livestock, and other organisms. It also explains how quantitative genetics is useful for evolution, population, and selection studies.
The document discusses ecosystems and biodiversity in freshwater systems like lakes and rivers. It provides background on freshwater ecosystems, defining and measuring biodiversity at genetic, species, and ecosystem levels. It also discusses threats to freshwater biodiversity, with one in three freshwater species threatened. The document then focuses on the Vembanad wetland system, the largest backwater in Kerala, India. It provides details on its geography and construction of a barrage that altered the ecosystem. It discusses monitoring the critical water and sediment quality of the wetland to understand impacts on its biodiversity and production dynamics.
Natural history research as a replicable data scienceRutger Vos
Keynote presentation to the 2017 GARR conference, 17 November 2017, Venice, Italy. Introduction to natural history data types and analysis examples. Discussion of current practices in promoting reproducibility.
This slide explains term biostatistics, important terms used in the field of bio statistics and important applications of biostatistics in the field of agriculture, physiology, ecology, genetics, molecular biology, taxonomy, etc.
Computational Acoustic Identification of Bat SpeciesJason Miller
in this talk, I describe a project I've been working on with undergraduates on and off for several years. We are attempting to solve an inverse problem where we identify a bat's species using only measurements made from a recording of its search-phase echolocation call.
IInvestigation of the genetic basis of adaptationPhilippe Henry
This document summarizes a study investigating genetic variation in American pika populations along an elevational gradient in British Columbia. Preliminary results show neutral genetic markers detect population structure corresponding to sampling locations, with 17% of variation among populations. Genomic scans identified 9.3% of loci under selection. Ongoing work includes further genotyping individuals to refine estimates of population structure and demography, and identifying genes linked to markers under selection to understand local adaptation and survival under climate change. The study aims to assess genetic health and evolutionary potential of pika populations to inform conservation.
This document provides definitions and methods for investigating populations in biology. It defines key terms like ecosystem, population, community and habitat. It describes how to use quadrats and transects to sample populations through random and systematic sampling. Methods covered include measuring abundance through frequency and percentage cover, and using mark-release-recapture to determine population size. Population growth curves and factors influencing population sizes like temperature, light, pH, water and humidity are also summarized.
The document summarizes information about photosynthesis and ATP. It discusses:
1) ATP provides the immediate energy for biological processes through the hydrolysis of its phosphate bonds. ATP is continuously regenerated through photophosphorylation, oxidative phosphorylation, and substrate-level phosphorylation.
2) Photosynthesis has two stages - the light-dependent reaction where light energy is captured by chlorophyll and electrons are used to generate ATP and NADPH, and the light-independent reaction where ATP and NADPH are used to convert carbon dioxide into glucose.
3) Limiting factors like temperature, carbon dioxide concentration, and light intensity affect the rate of photosynthesis, and commercial greenhouses control these factors to enhance plant
This document summarizes work done on developing an ontology for bean traits and curating associated phenotypic and genotypic data from bean trials. It describes how 140 bean traits were initially defined, ranked based on usage, and then refined into 70 "primary" traits for standardized documentation. Work is ongoing to fully define all traits in the ontology, translate trait descriptions into multiple languages, and standardize variable names and units in phenotypic datasets from bean trials before uploading the curated data to databases by certain target dates. Genotypic datasets will also be uploaded after curation is completed.
Introduction to Biostatistics SMG .pptxsajigeorge64
This document provides an introduction to biostatistics. It defines key statistical terms like population, sample, variable, and qualitative and quantitative variables. It explains that biostatistics deals with statistical methods commonly used in biological studies. These methods are used to collect, present, analyze, and interpret quantitative data or numerical information. Examples of variables include the height of plants, number of coconut palms, and the length and weight of organisms. Primary data is collected directly by researchers, while secondary data comes from existing sources.
The document discusses Bushland Condition Monitoring, which uses a standardized method to measure the health and condition of bushland areas. It involves using 10 indicators measured within 30m x 30m quadrats to assess aspects like plant diversity, weeds, habitat, grazing, and regeneration. The results are compared to benchmarks for different vegetation types to assign a condition class ranging from very poor to excellent. It describes the methodology for collecting data on each indicator and calculating scores to determine the overall condition of the bushland site.
The document provides information about collecting and summarizing data. It defines key terms like population, parameter, sample, statistic, descriptive and inferential statistics. It discusses different types of variables like quantitative, qualitative, continuous, discrete, ranked and categorical. Examples are given of different data types and how to collect, organize and present data in tables, graphs like bar graphs and pie charts. The last part contains exercises asking the reader to identify if variables are categorical or numerical, and if numerical, whether they are discrete or continuous.
This document provides definitions and explanations of research technique terms, describes experimental designs and sampling methods, discusses sources of variation in field experiments and error, and outlines best practices for designing and conducting experiments. Key points covered include the meaning of replication, randomization, null and alternative hypotheses, experimental error, blocking, and methods to increase precision and control competition effects. The document is a reference for conducting rigorous agricultural research.
Thesis Proposal Presentations Sample.pdf.pptxMaribeth Manuel
This document outlines the requirements and structure for presenting a thesis proposal. It provides guidelines on the presentation length, attire, and components to include such as the title slide, introduction, objectives, scope, significance, literature review, methodology, and references. The introduction provides an overview and justification of the research topic. The objectives are to be specific, measurable, achievable, result-oriented and time-bound. The methodology describes the experimental design, materials, production management, data to be gathered, and statistical analysis. Overall, the document provides a template for organizing and presenting the key elements of a thesis research proposal.
Biology is the scientific study of life and living organisms. It involves understanding the structure, function, growth, origin, evolution, and distribution of living organisms. The document outlines several key aspects of biology including the importance of biology in areas like disease treatment and environmental management. It also discusses the main fields and areas of study within biology such as anatomy, physiology, ecology, and genetics. Finally, it covers the scientific method and how biologists employ processes like making observations and hypotheses, experimental design, data analysis, and conclusion drawing to make discoveries about living things.
Testing for heterogeneity in rates of morphological evolution: discrete chara...Graeme Lloyd
This document describes four methods for examining the rate of morphological evolution using discrete character changes on a phylogeny. The methods account for uncertainty in dating, phylogenetic relationships, character optimization, and rate variation across branches. The methods are applied to a dataset of lungfish to test if their rate of evolution changed between the early Devonian and post-Devonian periods. The results provide a more detailed picture of lungfish evolution than previous studies.
Species delimitation - species limits and character evolutionRutger Vos
Lecture slides for the program orientation Evolutionary Biology at the Institute of Biology Leiden, the Netherlands. Thursday, September 7th, 2017.
Lecture notes are here: https://docs.google.com/document/d/e/2PACX-1vRIv5mKK1fjBby--u97emC7hrqXUbxFQZe63P1FpguuhHLG6xykbwXKeKXCUE5W-LSpakXYCI621xCK/pub
The document provides definitions and information about biostatistics including:
1. Biostatistics is the branch of statistics dealing with the application of statistical methods to health sciences data. It is used for collecting, presenting, analyzing, and interpreting data to make decisions.
2. The goals of studying biostatistics include conducting investigations, research management, making inferences from samples, understanding valid statistical claims, and evaluating health programs.
3. There are two main branches of statistics - descriptive statistics which summarizes data, and inferential statistics which makes generalizations about populations from samples through estimation and hypothesis testing.
This document provides an overview of key concepts in medical statistics, including:
1. It introduces topics like measures of central tendency, distribution curves, sampling, and vital statistics.
2. It defines types of data like qualitative, quantitative, discrete, and continuous data. Qualitative data includes nominal and ordinal variables while quantitative data can be discrete or continuous.
3. It discusses some uses of statistics like data presentation, simplifying large data sets, enabling comparisons, testing hypotheses, and aiding in prediction, planning, and policy formation.
Quadrats can be used to estimate population size and distribution of organisms. They are frames divided into squares that are randomly placed in a habitat to count individuals or percentage cover of a species. This provides a representative sample that can be scaled up and used to compare species in one area or a species across areas. Only about 10% of energy is transferred between trophic levels in a food chain due to energy losses through respiration and thermal energy. This limits food chain length and explains the pyramid shape of biomass and numbers.
This document provides definitions of key ecology terms like ecosystem, population, community, habitat, and ecological niche. It also describes methods for investigating populations, including using quadrats, transects, and mark-release-recapture. Population growth curves are explained as lag phase, log phase, and stationary phase. Finally, abiotic factors that influence populations like temperature, light, pH, water, and humidity are listed.
Computational Acoustic Identification of Bat SpeciesJason Miller
in this talk, I describe a project I've been working on with undergraduates on and off for several years. We are attempting to solve an inverse problem where we identify a bat's species using only measurements made from a recording of its search-phase echolocation call.
IInvestigation of the genetic basis of adaptationPhilippe Henry
This document summarizes a study investigating genetic variation in American pika populations along an elevational gradient in British Columbia. Preliminary results show neutral genetic markers detect population structure corresponding to sampling locations, with 17% of variation among populations. Genomic scans identified 9.3% of loci under selection. Ongoing work includes further genotyping individuals to refine estimates of population structure and demography, and identifying genes linked to markers under selection to understand local adaptation and survival under climate change. The study aims to assess genetic health and evolutionary potential of pika populations to inform conservation.
This document provides definitions and methods for investigating populations in biology. It defines key terms like ecosystem, population, community and habitat. It describes how to use quadrats and transects to sample populations through random and systematic sampling. Methods covered include measuring abundance through frequency and percentage cover, and using mark-release-recapture to determine population size. Population growth curves and factors influencing population sizes like temperature, light, pH, water and humidity are also summarized.
The document summarizes information about photosynthesis and ATP. It discusses:
1) ATP provides the immediate energy for biological processes through the hydrolysis of its phosphate bonds. ATP is continuously regenerated through photophosphorylation, oxidative phosphorylation, and substrate-level phosphorylation.
2) Photosynthesis has two stages - the light-dependent reaction where light energy is captured by chlorophyll and electrons are used to generate ATP and NADPH, and the light-independent reaction where ATP and NADPH are used to convert carbon dioxide into glucose.
3) Limiting factors like temperature, carbon dioxide concentration, and light intensity affect the rate of photosynthesis, and commercial greenhouses control these factors to enhance plant
This document summarizes work done on developing an ontology for bean traits and curating associated phenotypic and genotypic data from bean trials. It describes how 140 bean traits were initially defined, ranked based on usage, and then refined into 70 "primary" traits for standardized documentation. Work is ongoing to fully define all traits in the ontology, translate trait descriptions into multiple languages, and standardize variable names and units in phenotypic datasets from bean trials before uploading the curated data to databases by certain target dates. Genotypic datasets will also be uploaded after curation is completed.
Introduction to Biostatistics SMG .pptxsajigeorge64
This document provides an introduction to biostatistics. It defines key statistical terms like population, sample, variable, and qualitative and quantitative variables. It explains that biostatistics deals with statistical methods commonly used in biological studies. These methods are used to collect, present, analyze, and interpret quantitative data or numerical information. Examples of variables include the height of plants, number of coconut palms, and the length and weight of organisms. Primary data is collected directly by researchers, while secondary data comes from existing sources.
The document discusses Bushland Condition Monitoring, which uses a standardized method to measure the health and condition of bushland areas. It involves using 10 indicators measured within 30m x 30m quadrats to assess aspects like plant diversity, weeds, habitat, grazing, and regeneration. The results are compared to benchmarks for different vegetation types to assign a condition class ranging from very poor to excellent. It describes the methodology for collecting data on each indicator and calculating scores to determine the overall condition of the bushland site.
The document provides information about collecting and summarizing data. It defines key terms like population, parameter, sample, statistic, descriptive and inferential statistics. It discusses different types of variables like quantitative, qualitative, continuous, discrete, ranked and categorical. Examples are given of different data types and how to collect, organize and present data in tables, graphs like bar graphs and pie charts. The last part contains exercises asking the reader to identify if variables are categorical or numerical, and if numerical, whether they are discrete or continuous.
This document provides definitions and explanations of research technique terms, describes experimental designs and sampling methods, discusses sources of variation in field experiments and error, and outlines best practices for designing and conducting experiments. Key points covered include the meaning of replication, randomization, null and alternative hypotheses, experimental error, blocking, and methods to increase precision and control competition effects. The document is a reference for conducting rigorous agricultural research.
Thesis Proposal Presentations Sample.pdf.pptxMaribeth Manuel
This document outlines the requirements and structure for presenting a thesis proposal. It provides guidelines on the presentation length, attire, and components to include such as the title slide, introduction, objectives, scope, significance, literature review, methodology, and references. The introduction provides an overview and justification of the research topic. The objectives are to be specific, measurable, achievable, result-oriented and time-bound. The methodology describes the experimental design, materials, production management, data to be gathered, and statistical analysis. Overall, the document provides a template for organizing and presenting the key elements of a thesis research proposal.
Biology is the scientific study of life and living organisms. It involves understanding the structure, function, growth, origin, evolution, and distribution of living organisms. The document outlines several key aspects of biology including the importance of biology in areas like disease treatment and environmental management. It also discusses the main fields and areas of study within biology such as anatomy, physiology, ecology, and genetics. Finally, it covers the scientific method and how biologists employ processes like making observations and hypotheses, experimental design, data analysis, and conclusion drawing to make discoveries about living things.
Testing for heterogeneity in rates of morphological evolution: discrete chara...Graeme Lloyd
This document describes four methods for examining the rate of morphological evolution using discrete character changes on a phylogeny. The methods account for uncertainty in dating, phylogenetic relationships, character optimization, and rate variation across branches. The methods are applied to a dataset of lungfish to test if their rate of evolution changed between the early Devonian and post-Devonian periods. The results provide a more detailed picture of lungfish evolution than previous studies.
Species delimitation - species limits and character evolutionRutger Vos
Lecture slides for the program orientation Evolutionary Biology at the Institute of Biology Leiden, the Netherlands. Thursday, September 7th, 2017.
Lecture notes are here: https://docs.google.com/document/d/e/2PACX-1vRIv5mKK1fjBby--u97emC7hrqXUbxFQZe63P1FpguuhHLG6xykbwXKeKXCUE5W-LSpakXYCI621xCK/pub
The document provides definitions and information about biostatistics including:
1. Biostatistics is the branch of statistics dealing with the application of statistical methods to health sciences data. It is used for collecting, presenting, analyzing, and interpreting data to make decisions.
2. The goals of studying biostatistics include conducting investigations, research management, making inferences from samples, understanding valid statistical claims, and evaluating health programs.
3. There are two main branches of statistics - descriptive statistics which summarizes data, and inferential statistics which makes generalizations about populations from samples through estimation and hypothesis testing.
This document provides an overview of key concepts in medical statistics, including:
1. It introduces topics like measures of central tendency, distribution curves, sampling, and vital statistics.
2. It defines types of data like qualitative, quantitative, discrete, and continuous data. Qualitative data includes nominal and ordinal variables while quantitative data can be discrete or continuous.
3. It discusses some uses of statistics like data presentation, simplifying large data sets, enabling comparisons, testing hypotheses, and aiding in prediction, planning, and policy formation.
Quadrats can be used to estimate population size and distribution of organisms. They are frames divided into squares that are randomly placed in a habitat to count individuals or percentage cover of a species. This provides a representative sample that can be scaled up and used to compare species in one area or a species across areas. Only about 10% of energy is transferred between trophic levels in a food chain due to energy losses through respiration and thermal energy. This limits food chain length and explains the pyramid shape of biomass and numbers.
This document provides definitions of key ecology terms like ecosystem, population, community, habitat, and ecological niche. It also describes methods for investigating populations, including using quadrats, transects, and mark-release-recapture. Population growth curves are explained as lag phase, log phase, and stationary phase. Finally, abiotic factors that influence populations like temperature, light, pH, water, and humidity are listed.
2. Tasks – big picture; step by step
• Choose at least two populations of one type of species that you are going
to observe
– The populations must be located in different environments and potentially
isolated enough
– The number of individuas per observed population/loaclity must be minimum
• Chose the morphological characteristics you are going to observe
– Observe the variation of quantitative traits of the chosen species (at least
identify 3 quantitative traits)
– Observe the variation of qualitative traits of the chosen species (at least
identify two qualitative traits)
• Perform basic statistic analyses to see if there is any statistically significant
differences between the chosen traits in the two populations
– If there is, this tells us that that trait is different because of adaptation and
evoultion
• Discuss how and why could this be!
4. Quantitative traits
• Traits that show a certain amount of variation
and are registered in two ways:
• Metric
– You register them by counting
• Meristic
– You register them by measuring
5. • Quantitative (meristic) traits example:
• Number of flowers in the roseta–in one individuals
• Number of leaves in the roseta– indicates the number of leaves in the
roseta
• Number of sepale latice) – indicates the number of sepales of one flower
belonging to one individual
• Quantitative (metric) traits example:
• Lenght of the longest stem in the roseta
• Lenght of the longest leaf in the roseta
• Width of the largest leaf in the roseta
• Width of the largest flower in the roseta
Primula vulgaris
6. Salamandra atra
• Quantitative (meristic) traits example:
• Number of dots on the whole body in one individuals
• Number of dots on the parotid gland– blue circles on the right
picture
• Number of body ridges – only on the body not the tail
• Quantitative (metric) traits example:
• Lenght of the head (from nose till gular ridge)
• Lenght of the body (from nose tip till cloaca)
• Width of the head (between two mouth angles
• Width of the cloaca
9. Qualitative traits
• Can be only described
• Subjective
• ...Quality, How is it something?
• Variation in coloration
• Variation
10. • Qualitative traits example:
• Color of flowers
• Possibilities: Dark Yellow,Light yellow, Purple
• Color of leafes
• Possibilities: Dark green, Light green
• Heterostilia
• Possibilities: Yes/ No
• Hairs on the stem
• Possibilities: a lot/ small amount
Primula vulgaris
Assign numerical chategories
for each possibility of every
chosen qualitative trait!
13. Hairs on the stam
Numerical category Possibility (variation)
1 Very hairy
2 Slightly hairy
14. Heterostilia – mechanism to avoid self fertilization
Numerical category Possibility (variation)
1 Antheras are longer then stigma
2 Antheras are shorter than stigma
16. AIM of the research
• Comparative analyses of chosen morphological traits in order to see if
there is any statisticlly significance between each of them
– If there is, that can be a sgin of adaptation! Describe and discuss what kind of
adaptation!
– Find the link between the trait and adaptation
• Stems are more hairy where is colder
– It is colder on higher altitudes
• Determine the variation (variation of phenotype) of the species Primula
vulgaris according to the analysed quantitative and qualitative traits
17. Dependent/Indipendent variable
• Indipendent variable
– Type of habitat - Its characteristics and
environmental factors
• Sunlight, humidity, temperature, type of soil, exposition
• Dependent variable
– Chosen morphological traits that are observed
18. Structure of laboratory work
• parts:
1. Introduction
1. Definition of variation, variability, adaptation and evolution
2. General data regarding the chosen specie and its biology
2. Material and methods
1. Highlight the differences in habitats between the chosen
population you are observing
2. Present the types of chosen traits and their numerical
assignment (for qualitative data)
3. Pictures of measurments and habitat
4. List the needed material you used during field work
5. List statistical analysis you will perform in order to prove the
hypothesis
19. Structure of laboratory work
• parts:
– . Results
• .1 Present the statistical analyses in form of tables
with titles
– . Discussion
• .1 Discuss what could be the link between the
specifis trait that showed statistically significant
difference and its environment
• .2 Discuss why other triats did’t show statistically
significant variation
20. Structure of laboratory work
• parts:
– . Conclusion
• .1 Link all the traits that show statisticlly significanse
difference, with your conclusion why there is the
difference? Which environmental factor couses
difference and why in that particular trait?
– . Literature
• List all used resources: web-sites, books (writer, title,
year of publishing and editor)
21. Structure of laboratory work
• Maximum 18 pages with literature and
pictures
– Who has more, he will get minus points
– Pictures can be given in an “appendix”
• Aim: Short, clear, try to identify which data
are mandatory and which are not important
to mention!!!!!!
• Each table and every picture is numerated
and has a title
22. Comparative analyses of chosen morphological characteristics between
three populations of Primula vulgaris from the locality: mt IGMAN, mt
BJELAŠNICA and mt JAHORINA
Exampl e of f orm of l aborat ory work
Claim/Hypothesis: The variation in chosen
characteristics of three populations, is strictly
corelated with different strategy of adaptation
to the observed environments (3 mountains)
23. • Varijabilnost i varijacija (lat. varius –
različit) su termini koji se u našem
jeziku obično poistovjeduju i
međusobno i sa pojmom
promjenljivosti uopde.
• Varijabilnost (engl. variability) opisuje
sposobnost i pojavu vremenskog
(alohroničnog) mijenjanja istih živih
sistema, dok se varijacija (engl.
variation) primarno odnosi na
prostornu ili sinhroničnu nejednakost
različitih bioloških sistema
(Hadžiselimovid, 2005).
I NTRODUCTI ON
24. General characteristics of Primula
vulgaris
Imperium: Eukaryota Whittaker &
Margulis, 1978
Regnum: Plantae Haeckel, 1866
Subregnum: Tracheobionta
Phylum: Spermatophyta
(=Anthophyta)
Subphylum: Magnoliophytina
(=Angispermae)
Classis: Magnoliatae (=Dicotyledonae)
Subclassis: Dilleniidae
Nadred: Ericanae
Ordo: Primulales
Familia: Primulaceae Vent.
Genus: Primula L.
Species: Primula vulgaris Huds
Pri mul aceae Vent .
Familija obuhvata 18 rodova sa 255 registrovanih vrsta u
Germplasm Resources Information Network (GRIN) (United
States Department of Agriculture
Agricultural Research Service, Beltsville Area)
Pri mul a vul gari s Huds.
Kozmopolitska je biljka, rasprostranjena na
području zapadne i južne Evrope, sjeverne
Afrike i južne Azije. Spada među najranije
proljetnice o čemu govori i njeno ime - lat.
primus znači prvi, dok lat. vulgaris znači
običan, svakodnevan.
Biological
Classification
table
25. • Proljetni jaglac na dugačkoj čvrstoj
stabljici nosi mnogo sitnih žutih
cvjetova, sa 5 tamnih pjega u ždrijelu
vjenčida (cvijet pojedinačan, sraslih
latica i lapova).
• Ocvijede je dvostruko građeno od 5
latica i 5 lapova. Vršci latica su
rascijepani na 2 dijela. Cijev vjenčida je
produžena i valjkasta. Boja cvjeta varira,
može biti žuta, ljubičasta i bijela. Jaglac
naraste do 15 cm.
• Listovi su prizemni, cjeloviti, dužine
5 -10 cm sa kratkom lisnom drškom i
oblikuju rozetu, odozdo su gusto
dlakavi. Mladi listovi su natrag svinuti i
mrežasto naborani.
• Postoje brojni hortikulturni oblici koji se
upotrebljavaju u dekorativne svrhe.
• Jedna od karakteristika ove vrste je i
pojava heterostilije
26. MATERIAL AND METHODS
• Chosen localities: Bjelašnica,
Igman, Jahorina
• Number of individuals:
individua (po 35 iz svake populacije)
• Date of field work(s): .4. i 6.4.2009.
• Tools needed for field work: rooler,
scissors...par gumenih rukavica, lopata,
pinceta, linijar, papiridi za obilježavanje
individua, fotoaparat, sveska A4 formata
• Protocol for measurment and pictures:
se vrši dok su individue u svježem stanju,
tj. na licu mjesta uzorkovanja.
• Used softwares for statistical
analyses: PAST i Microsoft Office
Excel 2007
27. • Quantitative (meristic) traits example:
• Number of flowers in the roseta–in one individuals
• Number of leaves in the roseta– indicates the number of leaves in the
roseta
• Number of sepale latice) – indicates the number of sepales of one flower
belonging to one individual
• Quantitative (metric) traits example:
• Lenght of the longest stem in the roseta
• Lenght of the longest leaf in the roseta
• Width of the largest leaf in the roseta
• Width of the largest flower in the roseta
Primula vulgaris
28. • Qualitative traits example:
• Color of flowers
• Possibilities: Dark Yellow,Light yellow, Purple
• Color of leafes
• Possibilities: Dark green, Light green
• Heterostilia
• Possibilities: Yes/ No
• Hairs on the stem
• Possibilities: a lot/ small amount
Primula vulgaris
Assign numerical chategories
for each possibility of every
chosen qualitative trait!
31. Hairs on the stam
Numerical category Possibility (variation)
1 Very hairy
2 Slightly hairy
32. Heterostilia – mechanism to avoid self fertilization
Numerical category Possibility (variation)
1 Antheras are longer then stigma
2 Antheras are shorter than stigma
33. III. Results and discussion
• Quantitative traits
– Univariant statistics
– T test
• Qualitative traits
– Chi square analyses
• Download PAST software!
34. UNIVARIANTN STATISTIC ANALISES for
each quntitative trait separately of each
population
• Number of samples
• Max
• Min
• Median
• Mean
• Standard devation
– Variance
• Standard error of mean
35. • Mean = Aritmetička sredina
– Sum of all results divided with total number of
results
• Median
Vidiii
• Varianca (measure of variability)
– Odstupanja od aritmetičke sredine pojedinacnih
rezultata
• Primjer s prosjekom; stranica 62
– Square of variance = Standard deviation
• Standard for measuring variability
• Important for T test
36. Prikaz osnovnih statističkih podataka
za posmatranu osobinu : broj cvjetova
za populaciju Bjelašnice
Prikaz osnovnih statističkih podataka
za posmatranu osobinu : broj listova za
populaciju Bjelašnice
Prikaz osnovnih statističkih podataka
za posmatranu osobinu : broj latica
za populaciju Bjelašnice
% of samples results are
in the range between – to +
result (3.49 – 17.25 = big
range of variation!!! )
Add to mean
and
substract to
mean
37. • Standard error
– If a trait varies a lot within a population, the less samples you measure, there is higher
probability your final mean is not the actual one (as if you had measured for example 2 times
more samples
– The error is less if we increase the number of samples, but it doesn’t lower in a propotional
trend
• It lowers proportionally if we square the total number of measurments
• STANDARD ERROR
• It is higher if the standard deviation is higher
• It tells you how much is truly possible that the calculated mean is truly the actual
one
• It showes us the odstupanja of calculated aritmetic means (of each trait) from the
real, true aritmetic mean of that trait for that population
• You need it for calculating T test
38. Prikaz osnovnih statističkih podataka
za posmatranu osobinu : broj cvjetova
za populaciju Bjelašnice
Prikaz osnovnih statističkih podataka
za posmatranu osobinu : broj listova za
populaciju Bjelašnice
Prikaz osnovnih statističkih podataka
za posmatranu osobinu : broj latica
za populaciju Bjelašnice
% of possibility that our
calculated mean for that
trait doesn’t diverge from
the true, actual means for
that population samples
from 9.21 - 11,53
Add to mean
and
substract to
mean
39. Prikaz osnovnih statističkih podataka
za posmatranu osobinu : broj cvjetova
za populaciju Bjelašnice
Prikaz osnovnih statističkih podataka
za posmatranu osobinu : broj listova za
populaciju Bjelašnice
Prikaz osnovnih statističkih podataka
za posmatranu osobinu : broj latica
za populaciju Bjelašnice
40. Prikaz osnovnih statističkih podataka za
posmatranu osobinu : broj listova za
populaciju Igmana
Prikaz osnovnih statističkih podataka za
posmatranu osobinu : broj lapova za
populaciju Igmana
Prikaz osnovnih statističkih
podataka za posmatranu
osobinu : broj cvjetova za
populaciju Igmana
41. Prikaz osnovnih statističkih podataka za
posmatranu osobinu : broj cvjetova za
populaciju Jahorina
Prikaz osnovnih statističkih podataka za
posmatranu osobinu : broj listova za
populaciju Jahorina
Prikaz osnovnih statističkih
podat aka za posmat r anu osobi nu
: br oj l at i ca za popul aci j u
Jahor i na
42. T- TEST: TEST SLIČNOSTI I DISTANCE
(Euclidean model procjene distance i sličnosti
Matrix distance)
• The test is performed by using mean values (of all quantitative traits respectively: number of sepals,
number of leaves, number of flowers). This test is performed to see the distance between
populations (in terms of evolution). The conclusion is therefore, made by comparing means of each
trait per popualtion.
• You prove your null hypothesis in this way
– There are no statistifically significant differences between each population for the observed trait
– if p is smaller then 0.05 (meaning that the result you got could only just by chance happen in 5 cases out of 100) we
reject the null hypothesis concluding that the observed difference is statistically significant
• Degree of feedom is a korigiran number of results (confirmed) so you avoid an untrue result (N-1):
(N1-1)+(N2-2); N1 npr, number of samples in bjelasnica; N2 number of samples inIgman
• T tables: dobijeno t mora biti vece ili jednako od t vrijednosti ocitane sa tablice za vrijednost
p=0.05, da bi se razlika izmedju populacija smatrala statisticki znacajnom (showes in red using
statistical programs)
• % isto sto i 0,05 nivo statisticke znacajnosti : znaci ako postoji razlika izmedju populacija za
odredjenu kvantitativnu osobinu, t je vece ili jednako datoj vrijednosti sa tablice (pa je p manji od
.05); da ne postoji razlika, t bi bio manji od vrijednosti date u tablici (a p veci od 0,05 u tom
slucaju)...
• ako je nasa t vrijednost veca ili jednaka vrijednosti sa tablice za razinu znacajnosti 5%, onda znaci da
rezultate koje smo dobili, nismo slucajno dobili, odnosno postoji samo 5% slucajnosti da bi dobiveni
rezultati bili tek tako slucajno tu, e pa onda ne moze nikako biti da je slucajno nego fakat postoji
razlika!
43. Mat r i ks di st ance za posmat r anu osobi nu: br oj
l i st ova
Mat r i ks di st ance za posmat r anu osobi nu: br oj l at i ca
46. KVALITATIVNA ANALIZA – hi kvadrat test
Bjelašnica vs. Igman za boju cvjetova
Deg. Freedom: 34
• Chi^2: 18,583
• p(same): 0,98533
Bjelašnica v.s Jahorina za boju cvjetova
Deg. freedom: 33
• Chi^2: 18,083
• p(same): 0,98363
47. Igman v.s Jahorina za boju cvjetova
Deg. freedom: 34
• Chi^2: 18,833
• p(same): 0,98355
• p > 0,05 Odbacujemo nul hipotezu i zaključujemo da postoji razlika između
uočene i očekivane frekvencije za boju cvjetova kod Bjelašnice i Igmana,
Bjelašnice i Jahorine, Igmana i Jahorine.
48. Procjena frekvencija za kvalitativne osobine
Bjelašnica
Žuta
Svjetložuta
Bijela
Ljubičasta
Žuta – 48,56% (17 jedinki)
Svijetložuta – (45,71% (16 jedinki)
Bijela – nema ni jedna jedinka
Ljubičasta – 5,71% (2 jedinke)
51. ANALIZA DIVERZITETA
• Indeksi raznovrsnosti (heterogenosti) objedinjuju indekse zastupljenosti
i indekse ravnomjernosti u jednu brojčanu vrijednost.
• Razvijen je veliki broj indeksa raznovrsnosti, a u radu su korišteni sljededi
indeksi:
Simpsonov indeks raznovrsnosti
(varira između 0 i 1)
Shannonov indeks raznovrsnosti:
zasnovan je na informacionoj teoriji i predstavlja mjeru srednjeg stepena
nesigurnosti u predviđanju kojoj vrsti slučajno odabrane individue iz
populacije pripadaju.
52. A – Bjelašnica, B - Igman, C - Jahorina
A B C
Taxa_S 1 1 1
Individuals 353535
Dominance_D 1 1 1
Shannon_H0 0 0
Simpson_1-D 0 0 0
Analiza Shannonov-og indeksa i Simpsonov-og indeksa
53. Conclusion
• Conclude accoridng to each measure and statistics the
results and link it with environment characteristics!
• Each statistic analyses has to be discussed and
interpretated!
• Which trait show the more variation?
– Why? Could it be an adaptation if you assume that that
particular population lives in a slightley different environment?
• Is it statistically significant and what does that mean?
54. Literatura
• Petz, B. 1997: «Osnovne statističke metode za nematematičare», naklada
IV izdanje
• Past software manual
• Izvod iz magistarskog rada: „KOMPLEKSNA ANALIZA RAZLIČITIH MODELA
• PROUČAVANJA GENETIČKE DISTANCE I NJENIH MOGUDIH FAKTORA U
STANOVNIŠTVU BIH” (Naris Pojskid, 2003)
• Izvod iz doktorske disertacije: “POLIMORFIZAM MIKROSATELITNIH
MARKERA NUKLEARNOG GENOMA U BH. POPULACIJAMA
SALMONIDA“, (Pojskid Naris, 2005)
• Izvod iz magistarskog rada: “DISTRIBUCIJA HAPLOTIPOVA
MITOHONDRIJALNE DNK I GENETIČKE OSOBENOSTI LJUDKIH POPULACIJA
U BOSNI I HERCEGOVINI” (Lejla Kapur, 2004)
• Hadžiselimovid Rifat, 2005: “Bioantropologija, diverzitet recentnog
čovjeka”. Institut za genetičko inženjerstvo i biotehnologiju, Sarajevo
Editor's Notes
Tab. 22. Prikaz osnovnih statističkih podataka za posmatranu osobinu : broj latica za populaciju Jahorina
Matriks distance za posmatranu osobinu:broj listova