Model

Model 1: Linear Model with Interaction Terms To explore potential interaction effects between covariates, we also fitted a linear model with interaction terms. The mathematical form is: 

# A tibble: 45 × 5
   term                          estimate std.error statistic p.value
   <chr>                            <dbl>     <dbl>     <dbl>   <dbl>
 1 (Intercept)                   3.00e- 1       NaN       NaN     NaN
 2 Food_productBananas           5.00e- 1       NaN       NaN     NaN
 3 Food_productBeef (beef herd)  5.93e+ 1       NaN       NaN     NaN
 4 Food_productBeef (dairy herd) 2.08e+ 1       NaN       NaN     NaN
 5 Food_productBerries & Grapes  8   e- 1       NaN       NaN     NaN
 6 Food_productBrassicas         1.00e- 1       NaN       NaN     NaN
 7 Food_productCheese            2.09e+ 1       NaN       NaN     NaN
 8 Food_productCitrus Fruit      1.26e-15       NaN       NaN     NaN
 9 Food_productCoffee            1.62e+ 1       NaN       NaN     NaN
10 Food_productDark Chocolate    1.84e+ 1       NaN       NaN     NaN
# ℹ 35 more rows

Characteristic

Beta

95% CI

1

p-value
Food_product


    Apples — —
    Bananas 0.50

    Beef (beef herd) 59

    Beef (dairy herd) 21

    Berries & Grapes 0.80

    Brassicas 0.10

    Cheese 21

    Citrus Fruit 0.00

    Coffee 16

    Dark Chocolate 18

    Eggs 4.2

    Fish (farmed) 4.8

    Groundnuts 2.1

    Lamb & Mutton 24

    Milk 2.5

    Nuts -0.10

    Oatmeal 1.3

    Onions & Leeks 0.00

    Pig Meat 6.9

    Potatoes 0.00

    Poultry Meat 5.8

    Rice 3.7

    Root Vegetables 0.00

    Tomatoes 1.1

Land.use.change


Animal.Feed


Farm


Processing


Transport


Packging


Retail


Eutrophying.emissions.per.1000kcal..gPO.eq.per.1000kcal.


Eutrophying.emissions.per.kilogram..gPO.eq.per.kilogram.


Eutrophying.emissions.per.100g.protein..gPO.eq.per.100.grams.protein.


Freshwater.withdrawals.per.1000kcal..liters.per.1000kcal.


Freshwater.withdrawals.per.100g.protein..liters.per.100g.protein.


Freshwater.withdrawals.per.kilogram..liters.per.kilogram.


Greenhouse.gas.emissions.per.1000kcal..kgCO.eq.per.1000kcal.


Greenhouse.gas.emissions.per.100g.protein..kgCO.eq.per.100g.protein.


Land.use.per.1000kcal..m..per.1000kcal.


Land.use.per.kilogram..m..per.kilogram.


Land.use.per.100g.protein..m..per.100g.protein.


Scarcity.weighted.water.use.per.kilogram..liters.per.kilogram.


Scarcity.weighted.water.use.per.100g.protein..liters.per.100g.protein.


Scarcity.weighted.water.use.per.1000kcal..liters.per.1000.kilocalories.


1

CI = Confidence Interval

Model 2: Decision Tree model

[1] "R² for Decision Tree:  0.776575357907789"

Model 3: Random Forest model

[1] "R² for Random Forest:  0.76243852976666"