Area Ecosystem Population

Содержание

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You are a scientist in the field of ecology and you

You are a scientist in the field of ecology and you

were given the task to determine the population of squirrels in a pine forest. How do you do that?
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Data collection and analysis Methods of mathematical statistics The application of

Data collection and analysis

Methods of mathematical statistics
The application of these methods

makes it possible to get an objective view on a particular (определённая) population
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Types of statistical test T-test (Student’s T-test) Use to test the

Types of statistical test
T-test (Student’s T-test)

Use to test the equality of

the average values in two samples
(проверка равенства средних значений в двух выборках)
Chi- squared test (X2).

Use if using categorical variables (if you are evaluating the differences between experimental data and expected or hypothetical data)… Example: expected distribution of organisms
(оценка различий между экспериментальными данными и ожидаемыми данными)

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T-test 2 test groups Determining the differences between the two groups

T-test

2 test groups
Determining the differences between the two groups
One or more

samples per group are made
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Example of research question Which species of pine (Scotch or Kulunda)

Example of research question

Which species of pine (Scotch or Kulunda) are more

common in Kazakhstan?

Scotch pine (сосна обыкновенная)

Kulunda pine (сосна Кулундинская)

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Examples of Hypotheses Research Hypotheses In Kazakhstan the Kulunda pine is

Examples of Hypotheses

Research Hypotheses
In Kazakhstan the Kulunda pine is

more common
Statistical hypotheses
Null hypotheses (Ho)
Ho – there is no difference in the prevalence of Scots pine or Kulunda pine
Alternate hypotheses
Ha – there IS a difference in the predominance of Scots pine or Kulunda pine
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Methods of ecological research Laboratory method Experimental and experimental method Field

Methods of ecological research

Laboratory method
Experimental and experimental method
Field method
The objects of

field research can be living organisms, populations, species and their natural communities
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Objectives of field researches Determine (определить) the distribution (распространение), abundance (численность)

Objectives of field researches

Determine (определить)
the distribution (распространение), abundance (численность) and quality

of the species, population, biocenosis, ecosystem of lakes, rivers and other objects
the influence of abiotic, biotic, anthropogenic factors on organisms
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Methods of field research Lay out and describe a sample area

Methods of field research

Lay out and describe a sample area (закладка

и описание пробных площадей (ключевых участков))
The sizes of sample areas (squares) for groups of plants are 1, 10, 100 m², for forests - an area of 100 - 5000 m²
The main indicator of the research is the quantitative registration of organisms
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Example Question: Which part of the school garden has more dandelions?

Example

Question: Which part of the school garden has more dandelions?
Research hypothesis:
Null

hypothesis:
Alternate hypothesis:
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Method of research (squares method or key sites) метод квадратов или

Method of research (squares method or key sites) метод квадратов или

ключевых участков

Select the sample area.
Lay out a square grid of known size.
Count the dandelions in each grid.
Repeat this 5 times for both the locations.
Tabulate the data.
Analyze the data.

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Data collection Number of dandelions on the school garden

Data collection

Number of dandelions on the school garden

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Step 1 Calculate the mean value

Step 1

Calculate the mean value

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Step 2 Calculate the deviation from mean by subtracting the mean

Step 2
Calculate the deviation from mean by subtracting the mean from

the value of X for both the samples
Рассчитать отклонение от среднего значения путем вычитания среднего по величине X для обоих образцов.
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Step 3 Square the deviation from the mean for both the samples

Step 3

Square the deviation from the mean for both the samples

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Step 4 Calculate the sum of the squares

Step 4

Calculate the sum of the squares

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Step 5 Calculate the variance for both the samples

Step 5

Calculate the variance for both the samples

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Step 6 calculate the value of T using the formula provided in the Table

Step 6

calculate the value of T using the formula provided in

the Table
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T –value Х1 - среднее значение выборки 1 Х2 - среднее

T –value

Х1 - среднее значение выборки 1
Х2 - среднее значение

выборки 2
S1²- дисперсия выборки 1
S2²- дисперсия выборки 2
N₁ - частота выборки 1
N₂ - частота выборки 2
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Answer 2,14

Answer

2,14

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Step 7 Calculate the degree of freedom Рассчитать степень свободы df

Step 7

Calculate the degree of freedom
Рассчитать степень свободы
df = (N1+ N2)

– 2= 8
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Step 8 Find the critical value using the t- table

Step 8

Find the critical value using the t- table

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Degree of freedom 2,31

Degree of freedom

2,31

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Data analysis If the T-value is less than the critical value,

Data analysis

If the T-value is less than the critical value, then

accept the null hypothesis Если Т-значение меньше критического значения, то следует принять нулевую гипотезу
If the T-value is bigger than the critical value, the null hypothesis should be rejected Если Т-значение больше, чем критическое значение следует отклонить нулевую гипотезу
Null hypothesis: There are no differences in the number of dandelions on the western and eastern sides of the school garden
2,14 2,31
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Analysis of results If the null hypothesis is accepted, then there

Analysis of results

If the null hypothesis is accepted, then there was

NO significant difference in the distribution of dandelions in the school garden
If the null hypothesis is rejected, then there was a significant difference in the distribution of dandelions in the school garden