# Parametric Terracing as Optimization of Controlled Slope Intervention

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## Abstract

**:**

## 1. Introduction

#### 1.1. Terrace Planning and Construction

#### 1.2. Research Questions

^{2}) and consequently planting the largest number of grapevines. Digging provokes marl-softening processes. Such processes consequently lead to the following changes: thicker disintegrated clay layers on the slopes, increased water permeability of the surface layer, and the possibility of water penetrating deeper into the cracked flysch base. For these reasons it is important to follow the line of the stable configuration of the old terrain during planning and construction. The following research questions remained: Could we create (or choose) an even better version of terracing? Could the area utilization be greater? How can we be sure that the variation chosen is optimal, and how can we make the selection more objective? Is it possible to choose a new method and technology, and to achieve better results in all these aspects?

#### 1.3. New Design Techniques in Architectural Practice

#### 1.4. Hypothesis

## 2. Materials and Methods

_{t,i}is the area of i terrace platforms, and A is the total area of the plot. Results closer to 1 are considered better.

## 3. Results

## 4. Discussion

^{2}) or the number of vines, but also in terms of ease of construction, cost, and the simplest agricultural working method.

## Author Contributions

## Funding

## Acknowledgments

## Conflicts of Interest

## References

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**Figure 1.**Terraced landscapes built and maintained by hand. (

**a**) Building a dry stone wall in Vrtovin, Slovenia, in 2019 (photo by Lucija Ažman Momirski). (

**b**) Terraced vineyards and old traditional terraces in Vrtovin, Slovenia, in 2019 (photo by Lucija Ažman Momirski). (

**c**) Old agricultural terraces in the Koper Hills, Slovenia (photo by Lucija Ažman Momirski). (

**d**) Old garden terraces in the Karst area, Slovenia (photo by Lucija Ažman Momirski). (

**e**) Old agricultural terraces in Brkini, Slovenia (photo by Matevž Lenarčič). (

**f**) Old agricultural terraces in Krkavče, Koper Hills, Slovenia (photo by Lucija Ažman Momirski).

**Figure 2.**Terraced landscapes built and maintained by agricultural machinery. (

**a**) Building new terraces in 2006 in Medana, Gorizia Hills, Slovenia (photo by Lucija Ažman Momirski). (

**b**) Newly planted vineyard in 2006 in Medana, Gorizia Hills, Slovenia (photo by Lucija Ažman Momirski). (

**c**) Traditional terraced landscapes in the Gorizia Hills, renewed every thirty years (photo by Lucija Ažman Momirski). (

**d**) Bizeljsko area, Slovenia, terraced in the 1960s and 1970s (photo by Matevž Lenarčič). (

**e**) Jeruzalem area, Slovenia, terraced in the 1960s and 1970s (photo by Matevž Lenarčič). (

**f**) Jeruzalem area, Slovenia, terraced in the 1960s and 1970s (photo by Lucija Ažman Momirski).

**Figure 3.**Section of single-row terraces, double-row terraces, and multi-row terraces for a vineyard.

**Figure 4.**Plot survey and terraced plot models: plan (top) and 3D view (bottom). (

**a**) Geodetic measurement of the plot with contour lines. (

**b**) Model of the terraced slope with straight terraces. (

**c**) Model of the terraced slope with curved terraces. (

**d**) Model of the final construction plan, which was a combination of the model with straight terraces and curved terraces.

**Figure 5.**Illustration of the algorithm in Grasshopper that allows the combinatorial simulation of 3D terrace slope models by changing selected parameters. The individual components of the algorithm are: 1: surface parameter; 2: measure the length of a list; 3: world XY plane; 4: unit vector on {z} axis; 5: flip a matrix-like data tree; 6: perform mass addition; 7: divide surface; 8: create an interpolated curve on a surface; 9: rotate an object around a center point and an axis vector; 10: merge data streams; 11: create a surface between two curves; 12: compute Euclidean distance between two point coordinates; 13: Boolean (true/false) toggle; 14: evaluates a curve at a specific location; 15: solve intersection event for a line and a plane; 16: pick a single item from a data tree; 17: create a line segment defined by a start point, tangent, and length; 18: create an interpolated curve through a set of points; 19: create a line between two points; 20: represents a collection of 3D point coordinates; 21: represents a collection of 3D point coordinates; 22: solve intersection events for a curve and a plane; 23: solve area properties; 24: deconstruct a plane into its component parts; 25: project an object onto a plane; 26: offset all items in a list; 27: sort a list of numeric keys; 28: planes are defined by an origin point and three-axis vectors; 29: create a plane from a line and a point; 30: the setting of individual numeric values; 31: retrieve a specific item from a list; 32: subtraction command; and 33: text panel.

**Figure 6.**Terraced plot models generated in Grasshopper with selected parameters: plan (figure top) and 3D view (figure bottom). (

**a**) Model of the terraced slope with 57 single-row terraces with terrace platforms 230 cm wide. (

**b**) Model of the terraced slope with 37 double-row terraces with terrace platforms 360 cm wide. (

**c**) Model of the terraced slope with 26 multi-row terraces with terrace platforms 500 cm wide. (

**d**) Model of the terraced slope with 21 multi-row terraces with terrace platforms 620 cm wide.

**Table 1.**Results of the combinatory parametric simulation of the terraced slope of the pilot area in Medana, Goriška Brda, Slovenia.

Terrace Type | Platform Width (m) | Platform and Slope Width (m) | Slope Inclination (°) | Number of Terraces | Slope Plan Area (m^{2}) | Platform Plan Area (m^{2}) | Minimum Height of Slopes (m) | Maximum Height of Slopes (m) | Usage Index (Tx) |
---|---|---|---|---|---|---|---|---|---|

Single-row | 2.3 | 2.3 | 90 | 72 | 0.00 | 6472 | 0.33 | 0.66 | 0.98 |

2.3 | 2.7 | 66 | 63 | 876 | 5600 | 0.45 | 0.84 | 0.84 | |

2.3 | 3 | 45 | 57 | 1347 | 5118 | 0.60 | 1.34 | 0.77 | |

2.7 | 2.7 | 90 | 61 | 0 | 6466 | 0.39 | 0.74 | 0.98 | |

2.7 | 3.2 | 66 | 53 | 877 | 5595 | 0.53 | 0.96 | 0.84 | |

2.7 | 3.5 | 45 | 49 | 1342 | 5094 | 0.70 | 1.33 | 0.77 | |

Double-row | 3 | 3 | 90 | 55 | 0 | 6447 | 0.44 | 0.81 | 0.97 |

3 | 3.6 | 66 | 47 | 872 | 5558 | 0.60 | 1.06 | 0.84 | |

3 | 3.9 | 45 | 44 | 1339 | 5076 | 0.78 | 1.48 | 0.77 | |

3.6 | 3.6 | 90 | 46 | 0 | 6421 | 0.52 | 0.95 | 0.97 | |

3.6 | 4.2 | 66 | 40 | 868 | 5525 | 0.70 | 1.22 | 0.83 | |

3.6 | 4.6 | 45 | 37 | 1342 | 5068 | 0.91 | 1.67 | 0.76 | |

Multi-row | 5 | 5 | 90 | 33 | 0 | 6364 | 0.72 | 1.24 | 0.96 |

5 | 5.9 | 66 | 29 | 870 | 5490 | 0.99 | 1.82 | 0.83 | |

5 | 6.4 | 45 | 26 | 1332 | 5001 | 1.27 | 2.20 | 0.75 | |

6.2 | 6.2 | 90 | 27 | 0 | 6321 | 0.87 | 1.50 | 0.95 | |

6.2 | 7.4 | 66 | 23 | 867 | 5436 | 1.24 | 2.18 | 0.82 | |

6.2 | 8.1 | 45 | 21 | 1341 | 4983 | 1.61 | 2.78 | 0.75 |

**Table 2.**List of parameters of the variants on the pilot terraced slope in Medana, Gorizia Hills, Slovenia in 2006. V1: The version with straight terraces, where the plot was not fully utilized. V2: The alternative with curved terraces, where the terraces are better adapted to the terrain. V3: The version is a combination of straight and curved terraces adapted to the slope and shape of the terrain.

Version | Number of Terraces | Number of Double-Row Terraces | Number of Multi-Row Terraces | Terrace Platform Plan Area (m^{2}) | Terrace Slope Plan Area (m^{2}) | Total Slope Area (m^{2}) | Usage Index (Tx) |
---|---|---|---|---|---|---|---|

V1 | 16 | 7 | 9 | 4978 | 1278 | 6632 | 0.75 |

V2 | 17 | 10 | 7 | 4638 | 1506 | 6632 | 0.70 |

V3 | 18 | 7 | 10 | 4863 | 1678 | 6632 | 0.73 |

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**MDPI and ACS Style**

Berčič, T.; Ažman-Momirski, L. Parametric Terracing as Optimization of Controlled Slope Intervention. *Water* **2020**, *12*, 634.
https://doi.org/10.3390/w12030634

**AMA Style**

Berčič T, Ažman-Momirski L. Parametric Terracing as Optimization of Controlled Slope Intervention. *Water*. 2020; 12(3):634.
https://doi.org/10.3390/w12030634

**Chicago/Turabian Style**

Berčič, Tomaž, and Lucija Ažman-Momirski. 2020. "Parametric Terracing as Optimization of Controlled Slope Intervention" *Water* 12, no. 3: 634.
https://doi.org/10.3390/w12030634