Use of biostimulators impacts the entire microbiota. The final resulting bacterial distribution depends on interactions between bacteria and can be illustrated through correlation. From our initial NGS data we can determine the nature of the relationships between bacteria and use these properties to accurately predict how soil microbiota changes with addition of biostimulators using machine learning.
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Revision as of 12:53, 15 October 2018
Figure 1: The process of correlation analysis
Original OTU Table
16s NGS uses the 16s rRNA of prokaryotic small ribosomal subunit to differentiate bacteria of different genera. Through this technology we obtain the bacterial distribution of our soil, summarized in the operational taxonomical unit table (OTU Table) below:
Figure 2: Schematic diagram of Operation Taxnomy Unit table
Ratio Analysis
NGS data includes several unclassified entries consisting of incomplete genomic segments that don’t represent functional bacteria. We first delete these entries, then calculate the ratios of the remaining entries to produce the following bar chart:
Figure 3: Stacked bar plot of top-20 bacteria ratio in different samples
Spearman's Rank Correlation
To predict the final microbial distribution of soil as a result of adding biostimulators, we need to understand the interbacterial relationships that exist within the microbiome. Said relationships can be summarized by calculating a Spearman correlation coefficient using the following formula:
$$\rho_s=1-\frac{6\sum d_{i^2}}{n(n^2-1)}$$
Symbol |
Unit |
Explanation |
|---|---|---|
| $\rho_s$ | - | Spearman's correlation value |
| $d_i$ | - | The difference in the ranked observations from each group |
| $n$ | - | The sample size |
The Spearman correlation coefficient is a value ranging from -1 to 1… [ ]
A computer program can then visualize the results in a heat map. A map of the 20 most abundant bacteria of our soil is shown below:
Figure 4: Correlation table of top-20 bacteria
α Diversity Analysis
Use of biostimulators to manipulate soil factors requires careful consideration of the microbiota. Certain stimulators may cause specific genera of bacteria to become overly dominant, damaging soil integrity. As a method of monitoring the balance of the microbial ecosystem, we investigate the evenness of the soil.
Eveness--Shannon index
Evenness is defined as how close, in numbers, each genera of bacteria is in soil. Maintaining evenness ensures no type of bacteria grow to be too dominant, occupying niches of other potentially important bacteria.
One way to measure evenness is by calculating the Shannon Index of a sample, as shown below:
$$H'=-\sum_{i=1}^{S}p_{i}lnp_i$$
Symbol |
Unit |
Explanation |
|---|---|---|
| $H'$ | - | Shannon index |
| $S$ | - | The total number of genuses in samples |
| $p_i$ | - | The ratio of bacteria amount of the ith genus in the sample |
A Shannon Index of higher value indicates greater evenness. The estimated degree of evenness can be derived from the exponential of the value. For example, a sample with Shannon Index value 2.85 will have approximately: $$e^{2.85}=17$$ 17 genera of bacteria that are equal in numbers. The Shannon Index of a sample of soil can be used as an observational tool to make sure biostimulants don’t decrease the overall evenness, and thus health and stability, of the soil.
Triplicate Analysis
Figure 5: The box plot of shannon index triplicate analysis
